TSTP Solution File: GEO625+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO625+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n010.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 05:27:45 EDT 2022
% Result : Theorem 89.57s 89.77s
% Output : CNFRefutation 89.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 89
% Number of leaves : 36
% Syntax : Number of formulae : 616 ( 273 unt; 0 def)
% Number of atoms : 1148 ( 0 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 952 ( 420 ~; 415 |; 79 &)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-6 aty)
% Number of variables : 1460 ( 323 sgn 587 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ) ).
fof(ruleD4,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(A,B,D,C) ) ).
fof(ruleD5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ) ).
fof(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(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ) ).
fof(ruleD13,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C)
& cong(O,A,O,D) )
=> cyclic(A,B,C,D) ) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ) ).
fof(ruleD18,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(B,A,C,D,P,Q,U,V) ) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD20,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(P,Q,U,V,A,B,C,D) ) ).
fof(ruleD21,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(A,B,P,Q,C,D,U,V) ) ).
fof(ruleD22,axiom,
! [A,B,C,D,P,Q,U,V,E,F,G,H] :
( ( eqangle(A,B,C,D,P,Q,U,V)
& eqangle(P,Q,U,V,E,F,G,H) )
=> eqangle(A,B,C,D,E,F,G,H) ) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ) ).
fof(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ) ).
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(ruleD44,axiom,
! [A,B,C,E,F] :
( ( midp(E,A,B)
& midp(F,A,C) )
=> para(E,F,B,C) ) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ) ).
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(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ) ).
fof(ruleX6,axiom,
! [A,B,C,D,M,N] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D) )
=> ( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(ruleX10,axiom,
! [A,B,C,H] :
? [P,Q] :
( ( perp(A,H,B,C)
& perp(B,H,A,C) )
=> ( coll(P,C,B)
& perp(A,P,C,B)
& coll(Q,C,A)
& perp(B,Q,C,A) ) ) ).
fof(ruleX11,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ) ).
fof(exemplo6GDDFULL8110989,conjecture,
! [A,B,C,I,C1,A1,B1,P,Q,N] :
( ( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& midp(C1,B,A)
& midp(A1,C,B)
& midp(B1,A,C)
& midp(P,I,B)
& midp(Q,C,I)
& circle(N,P,A1,Q) )
=> eqangle(B1,A1,A1,N,N,A1,A1,C1) ) ).
fof(subgoal_0,plain,
! [A,B,C,I,C1,A1,B1,P,Q,N] :
( ( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& midp(C1,B,A)
& midp(A1,C,B)
& midp(B1,A,C)
& midp(P,I,B)
& midp(Q,C,I)
& circle(N,P,A1,Q) )
=> eqangle(B1,A1,A1,N,N,A1,A1,C1) ),
inference(strip,[],[exemplo6GDDFULL8110989]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,I,C1,A1,B1,P,Q,N] :
( ( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& midp(C1,B,A)
& midp(A1,C,B)
& midp(B1,A,C)
& midp(P,I,B)
& midp(Q,C,I)
& circle(N,P,A1,Q) )
=> eqangle(B1,A1,A1,N,N,A1,A1,C1) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,A1,B,B1,C,C1,I,N,P,Q] :
( ~ eqangle(B1,A1,A1,N,N,A1,A1,C1)
& circle(N,P,A1,Q)
& eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& midp(A1,C,B)
& midp(B1,A,C)
& midp(C1,B,A)
& midp(P,I,B)
& midp(Q,C,I) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ eqangle(skolemFOFtoCNF_B1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_N,skolemFOFtoCNF_N,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_C1)
& circle(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A1,skolemFOFtoCNF_Q_3)
& eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
& eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
& midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ eqangle(skolemFOFtoCNF_B1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_N,skolemFOFtoCNF_N,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_C1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(P,Q,U,V,A,B,C,D) ),
inference(canonicalize,[],[ruleD20]) ).
fof(normalize_0_4,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(P,Q,U,V,A,B,C,D) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(B,A,C,D,P,Q,U,V) ),
inference(canonicalize,[],[ruleD18]) ).
fof(normalize_0_6,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(B,A,C,D,P,Q,U,V) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,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_8,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_7]) ).
fof(normalize_0_9,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_10,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_9]) ).
fof(normalize_0_11,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_10]) ).
fof(normalize_0_12,plain,
! [A,B,C,E,F] :
( ~ midp(E,A,B)
| ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(canonicalize,[],[ruleD44]) ).
fof(normalize_0_13,plain,
! [A,B,C,E,F] :
( ~ midp(E,A,B)
| ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_15,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_17,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_19,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[ruleD64]) ).
fof(normalize_0_21,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_23,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(canonicalize,[],[ruleX7]) ).
fof(normalize_0_25,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A,B,C,D,M,N,Q] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(clausify,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_28,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_30,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_32,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_31]) ).
fof(normalize_0_33,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_34,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_33]) ).
fof(normalize_0_35,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_34]) ).
fof(normalize_0_36,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_37,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,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_39,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_38]) ).
fof(normalize_0_40,plain,
! [A,B,C,D,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[ruleD13]) ).
fof(normalize_0_41,plain,
! [A,B,C,D,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(specialize,[],[normalize_0_40]) ).
fof(normalize_0_42,plain,
midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_43,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_44,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_43]) ).
fof(normalize_0_45,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_46,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_45]) ).
fof(normalize_0_47,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| ? [P] :
( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ),
inference(canonicalize,[],[ruleX6]) ).
fof(normalize_0_48,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| ? [P] :
( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ),
inference(specialize,[],[normalize_0_47]) ).
fof(normalize_0_49,plain,
! [A,B,C,D,M,N] :
( ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) )
& ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| para(skolemFOFtoCNF_P(A,B,C,D,M,N),M,B,D) )
& ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| para(skolemFOFtoCNF_P(A,B,C,D,M,N),N,A,C) ) ),
inference(clausify,[],[normalize_0_48]) ).
fof(normalize_0_50,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(conjunct,[],[normalize_0_49]) ).
fof(normalize_0_51,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(canonicalize,[],[ruleD5]) ).
fof(normalize_0_52,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(specialize,[],[normalize_0_51]) ).
fof(normalize_0_53,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(canonicalize,[],[ruleD4]) ).
fof(normalize_0_54,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(specialize,[],[normalize_0_53]) ).
fof(normalize_0_55,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_56,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_57,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_58,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_57]) ).
fof(normalize_0_59,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_60,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_59]) ).
fof(normalize_0_61,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| ? [P,Q] :
( coll(P,C,B)
& coll(Q,C,A)
& perp(A,P,C,B)
& perp(B,Q,C,A) ) ),
inference(canonicalize,[],[ruleX10]) ).
fof(normalize_0_62,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| ? [P,Q] :
( coll(P,C,B)
& coll(Q,C,A)
& perp(A,P,C,B)
& perp(B,Q,C,A) ) ),
inference(specialize,[],[normalize_0_61]) ).
fof(normalize_0_63,plain,
! [A,B,C,H] :
( ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(B,skolemFOFtoCNF_Q_1(A,B,C),C,A) ) ),
inference(clausify,[],[normalize_0_62]) ).
fof(normalize_0_64,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(conjunct,[],[normalize_0_63]) ).
fof(normalize_0_65,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_66,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_65]) ).
fof(normalize_0_67,plain,
circle(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A1,skolemFOFtoCNF_Q_3),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_68,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(canonicalize,[],[ruleX11]) ).
fof(normalize_0_69,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(specialize,[],[normalize_0_68]) ).
fof(normalize_0_70,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(clausify,[],[normalize_0_69]) ).
fof(normalize_0_71,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(conjunct,[],[normalize_0_63]) ).
fof(normalize_0_72,plain,
midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_73,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_74,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_73]) ).
fof(normalize_0_75,plain,
midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_76,plain,
midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_77,plain,
midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_78,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_79,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_78]) ).
fof(normalize_0_80,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_81,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_80]) ).
fof(normalize_0_82,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_83,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_82]) ).
fof(normalize_0_84,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_85,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_84]) ).
fof(normalize_0_86,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_87,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_86]) ).
fof(normalize_0_88,plain,
! [A,B,C,D,E,F,G,H,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| ~ eqangle(P,Q,U,V,E,F,G,H)
| eqangle(A,B,C,D,E,F,G,H) ),
inference(canonicalize,[],[ruleD22]) ).
fof(normalize_0_89,plain,
! [A,B,C,D,E,F,G,H,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| ~ eqangle(P,Q,U,V,E,F,G,H)
| eqangle(A,B,C,D,E,F,G,H) ),
inference(specialize,[],[normalize_0_88]) ).
cnf(refute_0_0,plain,
~ eqangle(skolemFOFtoCNF_B1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_N,skolemFOFtoCNF_N,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_C1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(P,Q,U,V,A,B,C,D) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ eqangle(X_11041,X_11040,X_11040,X_11041,X_11044,X_11045,X_11042,X_11043)
| eqangle(X_11044,X_11045,X_11042,X_11043,X_11041,X_11040,X_11040,X_11041) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_11041)),bind(B,$fot(X_11040)),bind(C,$fot(X_11040)),bind(D,$fot(X_11041)),bind(P,$fot(X_11044)),bind(Q,$fot(X_11045)),bind(U,$fot(X_11042)),bind(V,$fot(X_11043))]]) ).
cnf(refute_0_3,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(B,A,C,D,P,Q,U,V) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ eqangle(X_11034,X_11035,X_11034,X_11035,X_11038,X_11039,X_11036,X_11037)
| eqangle(X_11035,X_11034,X_11034,X_11035,X_11038,X_11039,X_11036,X_11037) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_11034)),bind(B,$fot(X_11035)),bind(C,$fot(X_11034)),bind(D,$fot(X_11035)),bind(P,$fot(X_11038)),bind(Q,$fot(X_11039)),bind(U,$fot(X_11036)),bind(V,$fot(X_11037))]]) ).
cnf(refute_0_5,plain,
( ~ eqangle(X_11026,X_11027,X_11024,X_11025,X_11022,X_11023,X_11022,X_11023)
| eqangle(X_11022,X_11023,X_11022,X_11023,X_11026,X_11027,X_11024,X_11025) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_11026)),bind(B,$fot(X_11027)),bind(C,$fot(X_11024)),bind(D,$fot(X_11025)),bind(P,$fot(X_11022)),bind(Q,$fot(X_11023)),bind(U,$fot(X_11022)),bind(V,$fot(X_11023))]]) ).
cnf(refute_0_6,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(A,B,P,Q,C,D,U,V) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
( ~ eqangle(X_11020,X_11021,X_11016,X_11017,X_11018,X_11019,X_11016,X_11017)
| eqangle(X_11020,X_11021,X_11018,X_11019,X_11016,X_11017,X_11016,X_11017) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_11020)),bind(B,$fot(X_11021)),bind(C,$fot(X_11016)),bind(D,$fot(X_11017)),bind(P,$fot(X_11018)),bind(Q,$fot(X_11019)),bind(U,$fot(X_11016)),bind(V,$fot(X_11017))]]) ).
cnf(refute_0_8,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_9,plain,
( ~ para(X_11014,X_11015,X_11012,X_11013)
| eqangle(X_11014,X_11015,P,Q,X_11012,X_11013,P,Q) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_11014)),bind(B,$fot(X_11015)),bind(C,$fot(X_11012)),bind(D,$fot(X_11013))]]) ).
cnf(refute_0_10,plain,
( ~ midp(E,A,B)
| ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_11,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_12,plain,
( ~ coll(X_8361,X_8359,X_8360)
| ~ cong(X_8361,X_8359,X_8361,X_8360)
| midp(X_8361,X_8359,X_8360) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_8361)),bind(B,$fot(X_8359)),bind(C,$fot(X_8360))]]) ).
cnf(refute_0_13,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_14,plain,
( ~ cong(X_8358,X_8356,X_8357,X_8358)
| cong(X_8358,X_8356,X_8358,X_8357) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_8358)),bind(B,$fot(X_8356)),bind(C,$fot(X_8357)),bind(D,$fot(X_8358))]]) ).
cnf(refute_0_15,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_16,plain,
( ~ cong(X_8318,X_8319,X_8319,X_8317)
| cong(X_8319,X_8317,X_8318,X_8319) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_8318)),bind(B,$fot(X_8319)),bind(C,$fot(X_8319)),bind(D,$fot(X_8317))]]) ).
cnf(refute_0_17,plain,
( ~ cong(X_8279,X_8280,X_8278,X_8280)
| cong(X_8279,X_8280,X_8280,X_8278) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_8279)),bind(B,$fot(X_8280)),bind(C,$fot(X_8278)),bind(D,$fot(X_8280))]]) ).
cnf(refute_0_18,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_19,plain,
( ~ midp(X_5908,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))
| ~ para(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),D,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),D)
| midp(X_5908,D,D) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(B,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(C,$fot(D)),bind(M,$fot(X_5908))]]) ).
cnf(refute_0_20,plain,
( ~ coll(X_5907,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))
| ~ cong(X_5907,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5907,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))
| midp(X_5907,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_5907)),bind(B,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(C,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)))]]) ).
cnf(refute_0_21,plain,
( ~ cong(X_5904,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5904)
| cong(X_5904,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5904,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_5904)),bind(B,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(C,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(D,$fot(X_5904))]]) ).
cnf(refute_0_22,plain,
( ~ cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5900,X_5900,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))
| cong(X_5900,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5900) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(B,$fot(X_5900)),bind(C,$fot(X_5900)),bind(D,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)))]]) ).
cnf(refute_0_23,plain,
( ~ cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5896,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5896)
| cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5896,X_5896,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(B,$fot(X_5896)),bind(C,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(D,$fot(X_5896))]]) ).
cnf(refute_0_24,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_25,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5893,X_5893)
| cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5893,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5893) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(B,$fot(X_5893)),bind(C,$fot(X_5893))]]) ).
cnf(refute_0_26,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ para(skolemFOFtoCNF_A,D,skolemFOFtoCNF_A,D)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),D,D) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(D)),bind(M,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)))]]) ).
cnf(refute_0_27,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_28,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_29,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_30,plain,
( ~ coll(X_733,X_732,X_733)
| coll(X_733,X_733,X_732) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_733)),bind(B,$fot(X_732)),bind(C,$fot(X_733))]]) ).
cnf(refute_0_31,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_32,plain,
( ~ coll(X_730,X_731,X_731)
| coll(X_731,X_730,X_731) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_730)),bind(B,$fot(X_731)),bind(C,$fot(X_731))]]) ).
cnf(refute_0_33,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_34,plain,
( ~ para(X_725,X_726,X_725,X_726)
| coll(X_725,X_726,X_726) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_725)),bind(B,$fot(X_726)),bind(C,$fot(X_726))]]) ).
cnf(refute_0_35,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_36,plain,
( ~ eqangle(X_723,X_724,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_723,X_724,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_723,X_724,X_723,X_724) ),
inference(subst,[],[refute_0_35:[bind(A,$fot(X_723)),bind(B,$fot(X_724)),bind(C,$fot(X_723)),bind(D,$fot(X_724)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_37,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_38,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_37:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_39,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_40,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_39:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_41,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_42,plain,
( ~ cong(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_41:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_43,plain,
midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_44,plain,
( ~ midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_45,plain,
cong(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_A) )],[refute_0_45,refute_0_42]) ).
cnf(refute_0_47,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_46,refute_0_40]) ).
cnf(refute_0_48,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_47,refute_0_38]) ).
cnf(refute_0_49,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_35:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_50,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(X_153)),bind(Q,$fot(X_154))]]) ).
cnf(refute_0_52,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_721,X_722,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_721,X_722),
inference(subst,[],[refute_0_52:[bind(X_153,$fot(X_721)),bind(X_154,$fot(X_722))]]) ).
cnf(refute_0_54,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_55,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_721,X_722,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_721,X_722)
| eqangle(X_721,X_722,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_721,X_722,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_54:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_721)),bind(D,$fot(X_722)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_721)),bind(V,$fot(X_722))]]) ).
cnf(refute_0_56,plain,
eqangle(X_721,X_722,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_721,X_722,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_721,X_722,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_721,X_722) )],[refute_0_53,refute_0_55]) ).
cnf(refute_0_57,plain,
eqangle(X_723,X_724,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_723,X_724,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_56:[bind(X_721,$fot(X_723)),bind(X_722,$fot(X_724))]]) ).
cnf(refute_0_58,plain,
para(X_723,X_724,X_723,X_724),
inference(resolve,[$cnf( eqangle(X_723,X_724,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_723,X_724,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_57,refute_0_36]) ).
cnf(refute_0_59,plain,
para(X_725,X_726,X_725,X_726),
inference(subst,[],[refute_0_58:[bind(X_723,$fot(X_725)),bind(X_724,$fot(X_726))]]) ).
cnf(refute_0_60,plain,
coll(X_725,X_726,X_726),
inference(resolve,[$cnf( para(X_725,X_726,X_725,X_726) )],[refute_0_59,refute_0_34]) ).
cnf(refute_0_61,plain,
coll(X_730,X_731,X_731),
inference(subst,[],[refute_0_60:[bind(X_725,$fot(X_730)),bind(X_726,$fot(X_731))]]) ).
cnf(refute_0_62,plain,
coll(X_731,X_730,X_731),
inference(resolve,[$cnf( coll(X_730,X_731,X_731) )],[refute_0_61,refute_0_32]) ).
cnf(refute_0_63,plain,
coll(X_733,X_732,X_733),
inference(subst,[],[refute_0_62:[bind(X_730,$fot(X_732)),bind(X_731,$fot(X_733))]]) ).
cnf(refute_0_64,plain,
coll(X_733,X_733,X_732),
inference(resolve,[$cnf( coll(X_733,X_732,X_733) )],[refute_0_63,refute_0_30]) ).
cnf(refute_0_65,plain,
coll(D,D,D),
inference(subst,[],[refute_0_64:[bind(X_732,$fot(D)),bind(X_733,$fot(D))]]) ).
cnf(refute_0_66,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_65,refute_0_28]) ).
cnf(refute_0_67,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),X_5858,X_5858)
| midp(skolemFOFtoCNF_P_1(X_5858,Q),X_5858,Q) ),
inference(subst,[],[refute_0_66:[bind(D,$fot(X_5858)),bind(N,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1)))]]) ).
cnf(refute_0_68,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| ~ para(skolemFOFtoCNF_C_1,D,skolemFOFtoCNF_C_1,D)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),D,D) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(D)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1)))]]) ).
cnf(refute_0_69,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_70,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1)))]]) ).
cnf(refute_0_71,plain,
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_72,plain,
( ~ midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_71:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_C1)),bind(N,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_73,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_43,refute_0_72]) ).
cnf(refute_0_74,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_73,refute_0_70]) ).
cnf(refute_0_75,plain,
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_76,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_75:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_77,plain,
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_78,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_79,plain,
( ~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_75:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_80,plain,
( ~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_81,plain,
( ~ eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_35:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_82,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_83,plain,
( ~ eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_54:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_C_1)),bind(U,$fot(skolemFOFtoCNF_C_1)),bind(V,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_84,plain,
eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) )],[refute_0_84,refute_0_81]) ).
cnf(refute_0_86,plain,
para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_85,refute_0_80]) ).
cnf(refute_0_87,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_86,refute_0_79]) ).
cnf(refute_0_88,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_87,refute_0_78]) ).
cnf(refute_0_89,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_88,refute_0_76]) ).
cnf(refute_0_90,plain,
( ~ midp(X_5849,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(X_5849,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(X_5849))]]) ).
cnf(refute_0_91,plain,
( ~ midp(X_5849,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| midp(X_5849,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_91:[bind(X_5849,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1)))]]) ).
cnf(refute_0_93,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_74,refute_0_92]) ).
cnf(refute_0_94,plain,
( ~ para(skolemFOFtoCNF_C_1,D,skolemFOFtoCNF_C_1,D)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),D,D) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_93,refute_0_68]) ).
cnf(refute_0_95,plain,
para(skolemFOFtoCNF_C_1,D,skolemFOFtoCNF_C_1,D),
inference(subst,[],[refute_0_58:[bind(X_723,$fot(skolemFOFtoCNF_C_1)),bind(X_724,$fot(D))]]) ).
cnf(refute_0_96,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),D,D),
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,D,skolemFOFtoCNF_C_1,D) )],[refute_0_95,refute_0_94]) ).
cnf(refute_0_97,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),X_5858,X_5858),
inference(subst,[],[refute_0_96:[bind(D,$fot(X_5858))]]) ).
cnf(refute_0_98,plain,
midp(skolemFOFtoCNF_P_1(X_5858,Q),X_5858,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),X_5858,X_5858) )],[refute_0_97,refute_0_67]) ).
cnf(refute_0_99,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_98:[bind(Q,$fot(skolemFOFtoCNF_C_1)),bind(X_5858,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_100,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_101,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_35:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_102,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_I)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_C_1)),bind(U,$fot(skolemFOFtoCNF_I)),bind(V,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_103,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_104,plain,
( ~ eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_54:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_A)),bind(V,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_105,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A) )],[refute_0_105,refute_0_102]) ).
cnf(refute_0_107,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A) )],[refute_0_106,refute_0_101]) ).
cnf(refute_0_108,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_107,refute_0_100]) ).
cnf(refute_0_109,plain,
( ~ midp(X_5849,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| midp(X_5849,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(M,$fot(X_5849))]]) ).
cnf(refute_0_110,plain,
( ~ midp(X_5849,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(X_5849,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_110:[bind(X_5849,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)))]]) ).
cnf(refute_0_112,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_99,refute_0_111]) ).
cnf(refute_0_113,plain,
( ~ para(skolemFOFtoCNF_A,D,skolemFOFtoCNF_A,D)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),D,D) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_112,refute_0_26]) ).
cnf(refute_0_114,plain,
para(skolemFOFtoCNF_A,D,skolemFOFtoCNF_A,D),
inference(subst,[],[refute_0_58:[bind(X_723,$fot(skolemFOFtoCNF_A)),bind(X_724,$fot(D))]]) ).
cnf(refute_0_115,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),D,D),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,D,skolemFOFtoCNF_A,D) )],[refute_0_114,refute_0_113]) ).
cnf(refute_0_116,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5893,X_5893),
inference(subst,[],[refute_0_115:[bind(D,$fot(X_5893))]]) ).
cnf(refute_0_117,plain,
cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5893,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5893),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5893,X_5893) )],[refute_0_116,refute_0_25]) ).
cnf(refute_0_118,plain,
cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5896,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5896),
inference(subst,[],[refute_0_117:[bind(X_5893,$fot(X_5896))]]) ).
cnf(refute_0_119,plain,
cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5896,X_5896,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5896,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5896) )],[refute_0_118,refute_0_23]) ).
cnf(refute_0_120,plain,
cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5900,X_5900,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)),
inference(subst,[],[refute_0_119:[bind(X_5896,$fot(X_5900))]]) ).
cnf(refute_0_121,plain,
cong(X_5900,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5900),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5900,X_5900,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)) )],[refute_0_120,refute_0_22]) ).
cnf(refute_0_122,plain,
cong(X_5904,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5904),
inference(subst,[],[refute_0_121:[bind(X_5900,$fot(X_5904))]]) ).
cnf(refute_0_123,plain,
cong(X_5904,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5904,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)),
inference(resolve,[$cnf( cong(X_5904,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5904) )],[refute_0_122,refute_0_21]) ).
cnf(refute_0_124,plain,
cong(X_5907,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5907,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)),
inference(subst,[],[refute_0_123:[bind(X_5904,$fot(X_5907))]]) ).
cnf(refute_0_125,plain,
( ~ coll(X_5907,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))
| midp(X_5907,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)) ),
inference(resolve,[$cnf( cong(X_5907,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),X_5907,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)) )],[refute_0_124,refute_0_20]) ).
cnf(refute_0_126,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_127,plain,
( ~ coll(X_4718,skolemFOFtoCNF_N,C)
| ~ coll(X_4718,skolemFOFtoCNF_N,X_4719)
| coll(C,X_4719,X_4718) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_4718)),bind(B,$fot(skolemFOFtoCNF_N)),bind(D,$fot(X_4719))]]) ).
cnf(refute_0_128,plain,
( ~ coll(X_4653,X_4654,skolemFOFtoCNF_N)
| coll(X_4653,skolemFOFtoCNF_N,X_4654) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_4653)),bind(B,$fot(X_4654)),bind(C,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_129,plain,
( ~ coll(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,C)
| ~ coll(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,X_4616)
| coll(C,X_4616,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_N)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(X_4616))]]) ).
cnf(refute_0_130,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N,X_4615)
| coll(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,X_4615) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_N)),bind(C,$fot(X_4615))]]) ).
cnf(refute_0_131,plain,
( ~ coll(skolemFOFtoCNF_P_8,X_4614,skolemFOFtoCNF_N)
| coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N,X_4614) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(X_4614)),bind(C,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_132,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N)
| coll(skolemFOFtoCNF_N,skolemFOFtoCNF_N,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_N)),bind(D,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_133,plain,
( ~ coll(skolemFOFtoCNF_N,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_N)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N))),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_134,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_N,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_N,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N))),bind(B,$fot(skolemFOFtoCNF_N)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_135,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_136,plain,
( ~ perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_N,skolemFOFtoCNF_P_8)
| perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_135:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N))),bind(C,$fot(skolemFOFtoCNF_N)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_137,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_138,plain,
( ~ perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8,skolemFOFtoCNF_N)
| perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_N,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_137:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_N)),bind(H,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N)))]]) ).
cnf(refute_0_139,plain,
( ~ perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_N,skolemFOFtoCNF_P_8)
| perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_135:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N))),bind(C,$fot(skolemFOFtoCNF_N)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_140,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_141,plain,
( ~ perp(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N))
| perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_N,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_140:[bind(A,$fot(skolemFOFtoCNF_N)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N)))]]) ).
cnf(refute_0_142,plain,
( ~ perp(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8)
| perp(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N)) ),
inference(subst,[],[refute_0_135:[bind(A,$fot(skolemFOFtoCNF_N)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N))),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_143,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8,skolemFOFtoCNF_N,skolemFOFtoCNF_P_8)
| perp(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_140:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N))),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_N)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_144,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8,skolemFOFtoCNF_N,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_135:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N))),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_145,plain,
circle(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A1,skolemFOFtoCNF_Q_3),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_146,plain,
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_147,plain,
( ~ circle(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A1,skolemFOFtoCNF_Q_3)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(C,$fot(skolemFOFtoCNF_Q_3)),bind(O,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_148,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A1,skolemFOFtoCNF_Q_3) )],[refute_0_145,refute_0_147]) ).
cnf(refute_0_149,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8,skolemFOFtoCNF_N,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N) )],[refute_0_148,refute_0_144]) ).
cnf(refute_0_150,plain,
perp(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8,skolemFOFtoCNF_N,skolemFOFtoCNF_P_8) )],[refute_0_149,refute_0_143]) ).
cnf(refute_0_151,plain,
perp(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8) )],[refute_0_150,refute_0_142]) ).
cnf(refute_0_152,plain,
perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_N,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N)) )],[refute_0_151,refute_0_141]) ).
cnf(refute_0_153,plain,
perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_N,skolemFOFtoCNF_P_8) )],[refute_0_152,refute_0_139]) ).
cnf(refute_0_154,plain,
perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_N,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8,skolemFOFtoCNF_N) )],[refute_0_153,refute_0_138]) ).
cnf(refute_0_155,plain,
perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_N,skolemFOFtoCNF_P_8) )],[refute_0_154,refute_0_136]) ).
cnf(refute_0_156,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_157,plain,
( ~ perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8,skolemFOFtoCNF_N)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_N,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_156:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_N)),bind(H,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N)))]]) ).
cnf(refute_0_158,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_N,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8,skolemFOFtoCNF_N) )],[refute_0_155,refute_0_157]) ).
cnf(refute_0_159,plain,
coll(skolemFOFtoCNF_N,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_N,skolemFOFtoCNF_P_8) )],[refute_0_158,refute_0_134]) ).
cnf(refute_0_160,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_N,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N),skolemFOFtoCNF_P_8) )],[refute_0_159,refute_0_133]) ).
cnf(refute_0_161,plain,
coll(skolemFOFtoCNF_N,skolemFOFtoCNF_N,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_N) )],[refute_0_160,refute_0_132]) ).
cnf(refute_0_162,plain,
( ~ coll(skolemFOFtoCNF_N,skolemFOFtoCNF_N,X_4564)
| ~ coll(skolemFOFtoCNF_N,skolemFOFtoCNF_N,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_P_8,X_4564,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_N)),bind(B,$fot(skolemFOFtoCNF_N)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(X_4564))]]) ).
cnf(refute_0_163,plain,
( ~ coll(skolemFOFtoCNF_N,skolemFOFtoCNF_N,X_4564)
| coll(skolemFOFtoCNF_P_8,X_4564,skolemFOFtoCNF_N) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_N,skolemFOFtoCNF_N,skolemFOFtoCNF_P_8) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
coll(skolemFOFtoCNF_N,skolemFOFtoCNF_N,X_4564),
inference(subst,[],[refute_0_64:[bind(X_732,$fot(X_4564)),bind(X_733,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_165,plain,
coll(skolemFOFtoCNF_P_8,X_4564,skolemFOFtoCNF_N),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_N,skolemFOFtoCNF_N,X_4564) )],[refute_0_164,refute_0_163]) ).
cnf(refute_0_166,plain,
coll(skolemFOFtoCNF_P_8,X_4614,skolemFOFtoCNF_N),
inference(subst,[],[refute_0_165:[bind(X_4564,$fot(X_4614))]]) ).
cnf(refute_0_167,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N,X_4614),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,X_4614,skolemFOFtoCNF_N) )],[refute_0_166,refute_0_131]) ).
cnf(refute_0_168,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N,X_4615),
inference(subst,[],[refute_0_167:[bind(X_4614,$fot(X_4615))]]) ).
cnf(refute_0_169,plain,
coll(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,X_4615),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_N,X_4615) )],[refute_0_168,refute_0_130]) ).
cnf(refute_0_170,plain,
coll(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,X_4616),
inference(subst,[],[refute_0_169:[bind(X_4615,$fot(X_4616))]]) ).
cnf(refute_0_171,plain,
( ~ coll(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,C)
| coll(C,X_4616,skolemFOFtoCNF_N) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,X_4616) )],[refute_0_170,refute_0_129]) ).
cnf(refute_0_172,plain,
( ~ coll(X_730,X_731,X_731)
| coll(X_731,X_731,X_730) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_730)),bind(B,$fot(X_731)),bind(C,$fot(X_731)),bind(D,$fot(X_731))]]) ).
cnf(refute_0_173,plain,
coll(X_731,X_731,X_730),
inference(resolve,[$cnf( coll(X_730,X_731,X_731) )],[refute_0_61,refute_0_172]) ).
cnf(refute_0_174,plain,
coll(X_4562,X_4562,X_4563),
inference(subst,[],[refute_0_173:[bind(X_730,$fot(X_4563)),bind(X_731,$fot(X_4562))]]) ).
cnf(refute_0_175,plain,
( ~ coll(X_4562,X_4562,X_4563)
| ~ coll(X_4562,X_4562,X_4564)
| coll(X_4563,X_4564,X_4562) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_4562)),bind(B,$fot(X_4562)),bind(C,$fot(X_4563)),bind(D,$fot(X_4564))]]) ).
cnf(refute_0_176,plain,
( ~ coll(X_4562,X_4562,X_4564)
| coll(X_4563,X_4564,X_4562) ),
inference(resolve,[$cnf( coll(X_4562,X_4562,X_4563) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
coll(X_4562,X_4562,X_4564),
inference(subst,[],[refute_0_64:[bind(X_732,$fot(X_4564)),bind(X_733,$fot(X_4562))]]) ).
cnf(refute_0_178,plain,
coll(X_4563,X_4564,X_4562),
inference(resolve,[$cnf( coll(X_4562,X_4562,X_4564) )],[refute_0_177,refute_0_176]) ).
cnf(refute_0_179,plain,
coll(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,C),
inference(subst,[],[refute_0_178:[bind(X_4562,$fot(C)),bind(X_4563,$fot(skolemFOFtoCNF_N)),bind(X_4564,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_180,plain,
coll(C,X_4616,skolemFOFtoCNF_N),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_N,skolemFOFtoCNF_P_8,C) )],[refute_0_179,refute_0_171]) ).
cnf(refute_0_181,plain,
coll(X_4653,X_4654,skolemFOFtoCNF_N),
inference(subst,[],[refute_0_180:[bind(C,$fot(X_4653)),bind(X_4616,$fot(X_4654))]]) ).
cnf(refute_0_182,plain,
coll(X_4653,skolemFOFtoCNF_N,X_4654),
inference(resolve,[$cnf( coll(X_4653,X_4654,skolemFOFtoCNF_N) )],[refute_0_181,refute_0_128]) ).
cnf(refute_0_183,plain,
coll(X_4718,skolemFOFtoCNF_N,X_4719),
inference(subst,[],[refute_0_182:[bind(X_4653,$fot(X_4718)),bind(X_4654,$fot(X_4719))]]) ).
cnf(refute_0_184,plain,
( ~ coll(X_4718,skolemFOFtoCNF_N,C)
| coll(C,X_4719,X_4718) ),
inference(resolve,[$cnf( coll(X_4718,skolemFOFtoCNF_N,X_4719) )],[refute_0_183,refute_0_127]) ).
cnf(refute_0_185,plain,
( ~ coll(X_4712,skolemFOFtoCNF_Q_3,C)
| ~ coll(X_4712,skolemFOFtoCNF_Q_3,X_4713)
| coll(C,X_4713,X_4712) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_4712)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(D,$fot(X_4713))]]) ).
cnf(refute_0_186,plain,
( ~ coll(skolemFOFtoCNF_Q_3,X_4635,X_4636)
| coll(X_4635,skolemFOFtoCNF_Q_3,X_4636) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(X_4635)),bind(C,$fot(X_4636))]]) ).
cnf(refute_0_187,plain,
( ~ coll(X_4600,skolemFOFtoCNF_C_1,D)
| ~ coll(X_4600,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3)
| coll(skolemFOFtoCNF_Q_3,D,X_4600) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_4600)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_188,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_4577,skolemFOFtoCNF_Q_3)
| coll(X_4577,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_4577)),bind(C,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_189,plain,
( ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_190,plain,
( ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_191,plain,
( ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_I,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_192,plain,
midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I),
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_193,plain,
( ~ midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I)
| midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_194,plain,
midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_74]) ).
cnf(refute_0_196,plain,
( ~ midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_195:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_197,plain,
coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) )],[refute_0_194,refute_0_196]) ).
cnf(refute_0_198,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) )],[refute_0_197,refute_0_191]) ).
cnf(refute_0_199,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1) )],[refute_0_198,refute_0_190]) ).
cnf(refute_0_200,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3) )],[refute_0_199,refute_0_189]) ).
cnf(refute_0_201,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_Q_3)
| coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_Q_3)),bind(D,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_202,plain,
coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_Q_3) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
( ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,X_4564)
| ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_4564,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_4564))]]) ).
cnf(refute_0_204,plain,
( ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,X_4564)
| coll(skolemFOFtoCNF_C_1,X_4564,skolemFOFtoCNF_Q_3) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,X_4564),
inference(subst,[],[refute_0_64:[bind(X_732,$fot(X_4564)),bind(X_733,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_206,plain,
coll(skolemFOFtoCNF_C_1,X_4564,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,X_4564) )],[refute_0_205,refute_0_204]) ).
cnf(refute_0_207,plain,
coll(skolemFOFtoCNF_C_1,X_4577,skolemFOFtoCNF_Q_3),
inference(subst,[],[refute_0_206:[bind(X_4564,$fot(X_4577))]]) ).
cnf(refute_0_208,plain,
coll(X_4577,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_4577,skolemFOFtoCNF_Q_3) )],[refute_0_207,refute_0_188]) ).
cnf(refute_0_209,plain,
coll(X_4600,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3),
inference(subst,[],[refute_0_208:[bind(X_4577,$fot(X_4600))]]) ).
cnf(refute_0_210,plain,
( ~ coll(X_4600,skolemFOFtoCNF_C_1,D)
| coll(skolemFOFtoCNF_Q_3,D,X_4600) ),
inference(resolve,[$cnf( coll(X_4600,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3) )],[refute_0_209,refute_0_187]) ).
cnf(refute_0_211,plain,
coll(X_4600,skolemFOFtoCNF_C_1,D),
inference(subst,[],[refute_0_178:[bind(X_4562,$fot(D)),bind(X_4563,$fot(X_4600)),bind(X_4564,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_212,plain,
coll(skolemFOFtoCNF_Q_3,D,X_4600),
inference(resolve,[$cnf( coll(X_4600,skolemFOFtoCNF_C_1,D) )],[refute_0_211,refute_0_210]) ).
cnf(refute_0_213,plain,
coll(skolemFOFtoCNF_Q_3,X_4635,X_4636),
inference(subst,[],[refute_0_212:[bind(D,$fot(X_4635)),bind(X_4600,$fot(X_4636))]]) ).
cnf(refute_0_214,plain,
coll(X_4635,skolemFOFtoCNF_Q_3,X_4636),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,X_4635,X_4636) )],[refute_0_213,refute_0_186]) ).
cnf(refute_0_215,plain,
coll(X_4712,skolemFOFtoCNF_Q_3,X_4713),
inference(subst,[],[refute_0_214:[bind(X_4635,$fot(X_4712)),bind(X_4636,$fot(X_4713))]]) ).
cnf(refute_0_216,plain,
( ~ coll(X_4712,skolemFOFtoCNF_Q_3,C)
| coll(C,X_4713,X_4712) ),
inference(resolve,[$cnf( coll(X_4712,skolemFOFtoCNF_Q_3,X_4713) )],[refute_0_215,refute_0_185]) ).
cnf(refute_0_217,plain,
( ~ coll(X_4708,skolemFOFtoCNF_B1,C)
| ~ coll(X_4708,skolemFOFtoCNF_B1,X_4709)
| coll(C,X_4709,X_4708) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_4708)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(D,$fot(X_4709))]]) ).
cnf(refute_0_218,plain,
( ~ coll(X_4610,skolemFOFtoCNF_A,C)
| ~ coll(X_4610,skolemFOFtoCNF_A,skolemFOFtoCNF_B1)
| coll(C,skolemFOFtoCNF_B1,X_4610) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_4610)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_219,plain,
( ~ coll(skolemFOFtoCNF_A,X_4609,skolemFOFtoCNF_B1)
| coll(X_4609,skolemFOFtoCNF_A,skolemFOFtoCNF_B1) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_4609)),bind(C,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_220,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_221,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_222,plain,
( ~ coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_B1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_223,plain,
midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_224,plain,
( ~ midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_225,plain,
midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
( ~ midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_195:[bind(A,$fot(skolemFOFtoCNF_B1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_227,plain,
coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_227,refute_0_222]) ).
cnf(refute_0_229,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A) )],[refute_0_228,refute_0_221]) ).
cnf(refute_0_230,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B1) )],[refute_0_229,refute_0_220]) ).
cnf(refute_0_231,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)
| coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B1)),bind(D,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_232,plain,
coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
( ~ coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,X_4564)
| ~ coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_4564,skolemFOFtoCNF_B1) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_B1)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_4564))]]) ).
cnf(refute_0_234,plain,
( ~ coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,X_4564)
| coll(skolemFOFtoCNF_A,X_4564,skolemFOFtoCNF_B1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,X_4564),
inference(subst,[],[refute_0_64:[bind(X_732,$fot(X_4564)),bind(X_733,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_236,plain,
coll(skolemFOFtoCNF_A,X_4564,skolemFOFtoCNF_B1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,X_4564) )],[refute_0_235,refute_0_234]) ).
cnf(refute_0_237,plain,
coll(skolemFOFtoCNF_A,X_4609,skolemFOFtoCNF_B1),
inference(subst,[],[refute_0_236:[bind(X_4564,$fot(X_4609))]]) ).
cnf(refute_0_238,plain,
coll(X_4609,skolemFOFtoCNF_A,skolemFOFtoCNF_B1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_4609,skolemFOFtoCNF_B1) )],[refute_0_237,refute_0_219]) ).
cnf(refute_0_239,plain,
coll(X_4610,skolemFOFtoCNF_A,skolemFOFtoCNF_B1),
inference(subst,[],[refute_0_238:[bind(X_4609,$fot(X_4610))]]) ).
cnf(refute_0_240,plain,
( ~ coll(X_4610,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_B1,X_4610) ),
inference(resolve,[$cnf( coll(X_4610,skolemFOFtoCNF_A,skolemFOFtoCNF_B1) )],[refute_0_239,refute_0_218]) ).
cnf(refute_0_241,plain,
coll(X_4610,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_178:[bind(X_4562,$fot(C)),bind(X_4563,$fot(X_4610)),bind(X_4564,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_242,plain,
coll(C,skolemFOFtoCNF_B1,X_4610),
inference(resolve,[$cnf( coll(X_4610,skolemFOFtoCNF_A,C) )],[refute_0_241,refute_0_240]) ).
cnf(refute_0_243,plain,
coll(X_4708,skolemFOFtoCNF_B1,X_4709),
inference(subst,[],[refute_0_242:[bind(C,$fot(X_4708)),bind(X_4610,$fot(X_4709))]]) ).
cnf(refute_0_244,plain,
( ~ coll(X_4708,skolemFOFtoCNF_B1,C)
| coll(C,X_4709,X_4708) ),
inference(resolve,[$cnf( coll(X_4708,skolemFOFtoCNF_B1,X_4709) )],[refute_0_243,refute_0_217]) ).
cnf(refute_0_245,plain,
( ~ coll(X_4704,skolemFOFtoCNF_B_1,C)
| ~ coll(X_4704,skolemFOFtoCNF_B_1,X_4705)
| coll(C,X_4705,X_4704) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_4704)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_4705))]]) ).
cnf(refute_0_246,plain,
( ~ coll(X_4621,skolemFOFtoCNF_A,C)
| ~ coll(X_4621,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_4621) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_4621)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_247,plain,
( ~ coll(skolemFOFtoCNF_A,X_4586,skolemFOFtoCNF_B_1)
| coll(X_4586,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_4586)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_248,plain,
( ~ coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_249,plain,
( ~ midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_250,plain,
midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_43,refute_0_249]) ).
cnf(refute_0_251,plain,
( ~ midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_195:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_252,plain,
coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_252,refute_0_248]) ).
cnf(refute_0_254,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_255,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4564)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_4564,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_4564))]]) ).
cnf(refute_0_257,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4564)
| coll(skolemFOFtoCNF_A,X_4564,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4564),
inference(subst,[],[refute_0_64:[bind(X_732,$fot(X_4564)),bind(X_733,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_259,plain,
coll(skolemFOFtoCNF_A,X_4564,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4564) )],[refute_0_258,refute_0_257]) ).
cnf(refute_0_260,plain,
coll(skolemFOFtoCNF_A,X_4586,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_259:[bind(X_4564,$fot(X_4586))]]) ).
cnf(refute_0_261,plain,
coll(X_4586,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_4586,skolemFOFtoCNF_B_1) )],[refute_0_260,refute_0_247]) ).
cnf(refute_0_262,plain,
coll(X_4621,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_261:[bind(X_4586,$fot(X_4621))]]) ).
cnf(refute_0_263,plain,
( ~ coll(X_4621,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_B_1,X_4621) ),
inference(resolve,[$cnf( coll(X_4621,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_262,refute_0_246]) ).
cnf(refute_0_264,plain,
coll(X_4621,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_178:[bind(X_4562,$fot(C)),bind(X_4563,$fot(X_4621)),bind(X_4564,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_265,plain,
coll(C,skolemFOFtoCNF_B_1,X_4621),
inference(resolve,[$cnf( coll(X_4621,skolemFOFtoCNF_A,C) )],[refute_0_264,refute_0_263]) ).
cnf(refute_0_266,plain,
coll(X_4704,skolemFOFtoCNF_B_1,X_4705),
inference(subst,[],[refute_0_265:[bind(C,$fot(X_4704)),bind(X_4621,$fot(X_4705))]]) ).
cnf(refute_0_267,plain,
( ~ coll(X_4704,skolemFOFtoCNF_B_1,C)
| coll(C,X_4705,X_4704) ),
inference(resolve,[$cnf( coll(X_4704,skolemFOFtoCNF_B_1,X_4705) )],[refute_0_266,refute_0_245]) ).
cnf(refute_0_268,plain,
( ~ coll(X_4700,skolemFOFtoCNF_P_8,C)
| ~ coll(X_4700,skolemFOFtoCNF_P_8,X_4701)
| coll(C,X_4701,X_4700) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_4700)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(X_4701))]]) ).
cnf(refute_0_269,plain,
( ~ coll(X_4608,skolemFOFtoCNF_I,C)
| ~ coll(X_4608,skolemFOFtoCNF_I,skolemFOFtoCNF_P_8)
| coll(C,skolemFOFtoCNF_P_8,X_4608) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_4608)),bind(B,$fot(skolemFOFtoCNF_I)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_270,plain,
( ~ coll(skolemFOFtoCNF_I,X_4598,skolemFOFtoCNF_P_8)
| coll(X_4598,skolemFOFtoCNF_I,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(X_4598)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_271,plain,
( ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_272,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_I,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_273,plain,
midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_76]) ).
cnf(refute_0_274,plain,
( ~ midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_195:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_275,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1) )],[refute_0_275,refute_0_272]) ).
cnf(refute_0_277,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1) )],[refute_0_276,refute_0_271]) ).
cnf(refute_0_278,plain,
( ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_279,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_I),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_4564)
| ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_I)
| coll(skolemFOFtoCNF_I,X_4564,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_I)),bind(D,$fot(X_4564))]]) ).
cnf(refute_0_281,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_4564)
| coll(skolemFOFtoCNF_I,X_4564,skolemFOFtoCNF_P_8) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_I) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_4564),
inference(subst,[],[refute_0_64:[bind(X_732,$fot(X_4564)),bind(X_733,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_283,plain,
coll(skolemFOFtoCNF_I,X_4564,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_4564) )],[refute_0_282,refute_0_281]) ).
cnf(refute_0_284,plain,
coll(skolemFOFtoCNF_I,X_4598,skolemFOFtoCNF_P_8),
inference(subst,[],[refute_0_283:[bind(X_4564,$fot(X_4598))]]) ).
cnf(refute_0_285,plain,
coll(X_4598,skolemFOFtoCNF_I,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,X_4598,skolemFOFtoCNF_P_8) )],[refute_0_284,refute_0_270]) ).
cnf(refute_0_286,plain,
coll(X_4608,skolemFOFtoCNF_I,skolemFOFtoCNF_P_8),
inference(subst,[],[refute_0_285:[bind(X_4598,$fot(X_4608))]]) ).
cnf(refute_0_287,plain,
( ~ coll(X_4608,skolemFOFtoCNF_I,C)
| coll(C,skolemFOFtoCNF_P_8,X_4608) ),
inference(resolve,[$cnf( coll(X_4608,skolemFOFtoCNF_I,skolemFOFtoCNF_P_8) )],[refute_0_286,refute_0_269]) ).
cnf(refute_0_288,plain,
coll(X_4608,skolemFOFtoCNF_I,C),
inference(subst,[],[refute_0_178:[bind(X_4562,$fot(C)),bind(X_4563,$fot(X_4608)),bind(X_4564,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_289,plain,
coll(C,skolemFOFtoCNF_P_8,X_4608),
inference(resolve,[$cnf( coll(X_4608,skolemFOFtoCNF_I,C) )],[refute_0_288,refute_0_287]) ).
cnf(refute_0_290,plain,
coll(X_4700,skolemFOFtoCNF_P_8,X_4701),
inference(subst,[],[refute_0_289:[bind(C,$fot(X_4700)),bind(X_4608,$fot(X_4701))]]) ).
cnf(refute_0_291,plain,
( ~ coll(X_4700,skolemFOFtoCNF_P_8,C)
| coll(C,X_4701,X_4700) ),
inference(resolve,[$cnf( coll(X_4700,skolemFOFtoCNF_P_8,X_4701) )],[refute_0_290,refute_0_268]) ).
cnf(refute_0_292,plain,
( ~ coll(X_4696,skolemFOFtoCNF_A1,C)
| ~ coll(X_4696,skolemFOFtoCNF_A1,X_4697)
| coll(C,X_4697,X_4696) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_4696)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(D,$fot(X_4697))]]) ).
cnf(refute_0_293,plain,
( ~ coll(X_4675,X_4676,skolemFOFtoCNF_A1)
| coll(X_4675,skolemFOFtoCNF_A1,X_4676) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_4675)),bind(B,$fot(X_4676)),bind(C,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_294,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,C)
| ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,X_4634)
| coll(C,X_4634,skolemFOFtoCNF_A1) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_4634))]]) ).
cnf(refute_0_295,plain,
( ~ coll(skolemFOFtoCNF_A1,X_4594,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,X_4594) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(X_4594)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_296,plain,
midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_77]) ).
cnf(refute_0_297,plain,
( ~ midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_298,plain,
midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
( ~ midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_195:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_300,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_302,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_4564)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1)
| coll(skolemFOFtoCNF_A1,X_4564,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A1)),bind(D,$fot(X_4564))]]) ).
cnf(refute_0_304,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_4564)
| coll(skolemFOFtoCNF_A1,X_4564,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_4564),
inference(subst,[],[refute_0_64:[bind(X_732,$fot(X_4564)),bind(X_733,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_306,plain,
coll(skolemFOFtoCNF_A1,X_4564,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_4564) )],[refute_0_305,refute_0_304]) ).
cnf(refute_0_307,plain,
coll(skolemFOFtoCNF_A1,X_4594,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_306:[bind(X_4564,$fot(X_4594))]]) ).
cnf(refute_0_308,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,X_4594),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,X_4594,skolemFOFtoCNF_C_1) )],[refute_0_307,refute_0_295]) ).
cnf(refute_0_309,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,X_4634),
inference(subst,[],[refute_0_308:[bind(X_4594,$fot(X_4634))]]) ).
cnf(refute_0_310,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,C)
| coll(C,X_4634,skolemFOFtoCNF_A1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,X_4634) )],[refute_0_309,refute_0_294]) ).
cnf(refute_0_311,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_178:[bind(X_4562,$fot(C)),bind(X_4563,$fot(skolemFOFtoCNF_A1)),bind(X_4564,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_312,plain,
coll(C,X_4634,skolemFOFtoCNF_A1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,C) )],[refute_0_311,refute_0_310]) ).
cnf(refute_0_313,plain,
coll(X_4675,X_4676,skolemFOFtoCNF_A1),
inference(subst,[],[refute_0_312:[bind(C,$fot(X_4675)),bind(X_4634,$fot(X_4676))]]) ).
cnf(refute_0_314,plain,
coll(X_4675,skolemFOFtoCNF_A1,X_4676),
inference(resolve,[$cnf( coll(X_4675,X_4676,skolemFOFtoCNF_A1) )],[refute_0_313,refute_0_293]) ).
cnf(refute_0_315,plain,
coll(X_4696,skolemFOFtoCNF_A1,X_4697),
inference(subst,[],[refute_0_314:[bind(X_4675,$fot(X_4696)),bind(X_4676,$fot(X_4697))]]) ).
cnf(refute_0_316,plain,
( ~ coll(X_4696,skolemFOFtoCNF_A1,C)
| coll(C,X_4697,X_4696) ),
inference(resolve,[$cnf( coll(X_4696,skolemFOFtoCNF_A1,X_4697) )],[refute_0_315,refute_0_292]) ).
cnf(refute_0_317,plain,
( ~ coll(X_4691,skolemFOFtoCNF_C1,C)
| ~ coll(X_4691,skolemFOFtoCNF_C1,X_4692)
| coll(C,X_4692,X_4691) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_4691)),bind(B,$fot(skolemFOFtoCNF_C1)),bind(D,$fot(X_4692))]]) ).
cnf(refute_0_318,plain,
( ~ coll(X_4689,X_4690,skolemFOFtoCNF_C1)
| coll(X_4689,skolemFOFtoCNF_C1,X_4690) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_4689)),bind(B,$fot(X_4690)),bind(C,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_319,plain,
( ~ coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,C)
| ~ coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,X_4620)
| coll(C,X_4620,skolemFOFtoCNF_C1) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_4620))]]) ).
cnf(refute_0_320,plain,
( ~ coll(skolemFOFtoCNF_C1,X_4585,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,X_4585) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(X_4585)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_321,plain,
( ~ midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_195:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_322,plain,
coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_43,refute_0_321]) ).
cnf(refute_0_323,plain,
( ~ coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C1) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_324,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4564)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C1)
| coll(skolemFOFtoCNF_C1,X_4564,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C1)),bind(D,$fot(X_4564))]]) ).
cnf(refute_0_326,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4564)
| coll(skolemFOFtoCNF_C1,X_4564,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C1) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4564),
inference(subst,[],[refute_0_64:[bind(X_732,$fot(X_4564)),bind(X_733,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_328,plain,
coll(skolemFOFtoCNF_C1,X_4564,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4564) )],[refute_0_327,refute_0_326]) ).
cnf(refute_0_329,plain,
coll(skolemFOFtoCNF_C1,X_4585,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_328:[bind(X_4564,$fot(X_4585))]]) ).
cnf(refute_0_330,plain,
coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,X_4585),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C1,X_4585,skolemFOFtoCNF_A) )],[refute_0_329,refute_0_320]) ).
cnf(refute_0_331,plain,
coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,X_4620),
inference(subst,[],[refute_0_330:[bind(X_4585,$fot(X_4620))]]) ).
cnf(refute_0_332,plain,
( ~ coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,C)
| coll(C,X_4620,skolemFOFtoCNF_C1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,X_4620) )],[refute_0_331,refute_0_319]) ).
cnf(refute_0_333,plain,
coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_178:[bind(X_4562,$fot(C)),bind(X_4563,$fot(skolemFOFtoCNF_C1)),bind(X_4564,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_334,plain,
coll(C,X_4620,skolemFOFtoCNF_C1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,C) )],[refute_0_333,refute_0_332]) ).
cnf(refute_0_335,plain,
coll(X_4689,X_4690,skolemFOFtoCNF_C1),
inference(subst,[],[refute_0_334:[bind(C,$fot(X_4689)),bind(X_4620,$fot(X_4690))]]) ).
cnf(refute_0_336,plain,
coll(X_4689,skolemFOFtoCNF_C1,X_4690),
inference(resolve,[$cnf( coll(X_4689,X_4690,skolemFOFtoCNF_C1) )],[refute_0_335,refute_0_318]) ).
cnf(refute_0_337,plain,
coll(X_4691,skolemFOFtoCNF_C1,X_4692),
inference(subst,[],[refute_0_336:[bind(X_4689,$fot(X_4691)),bind(X_4690,$fot(X_4692))]]) ).
cnf(refute_0_338,plain,
( ~ coll(X_4691,skolemFOFtoCNF_C1,C)
| coll(C,X_4692,X_4691) ),
inference(resolve,[$cnf( coll(X_4691,skolemFOFtoCNF_C1,X_4692) )],[refute_0_337,refute_0_317]) ).
cnf(refute_0_339,plain,
( ~ coll(X_4677,skolemFOFtoCNF_A,C)
| ~ coll(X_4677,skolemFOFtoCNF_A,X_4678)
| coll(C,X_4678,X_4677) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_4677)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_4678))]]) ).
cnf(refute_0_340,plain,
( ~ coll(X_4673,X_4674,skolemFOFtoCNF_A)
| coll(X_4673,skolemFOFtoCNF_A,X_4674) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_4673)),bind(B,$fot(X_4674)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_341,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,C)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,X_4633)
| coll(C,X_4633,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_4633))]]) ).
cnf(refute_0_342,plain,
( ~ coll(skolemFOFtoCNF_A,X_4593,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,X_4593) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_4593)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_343,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_344,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1) )],[refute_0_230,refute_0_343]) ).
cnf(refute_0_345,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_346,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_4564)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_4564,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_4564))]]) ).
cnf(refute_0_348,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_4564)
| coll(skolemFOFtoCNF_A,X_4564,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
coll(skolemFOFtoCNF_A,X_4564,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_4564) )],[refute_0_305,refute_0_348]) ).
cnf(refute_0_350,plain,
coll(skolemFOFtoCNF_A,X_4593,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_349:[bind(X_4564,$fot(X_4593))]]) ).
cnf(refute_0_351,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,X_4593),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_4593,skolemFOFtoCNF_C_1) )],[refute_0_350,refute_0_342]) ).
cnf(refute_0_352,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,X_4633),
inference(subst,[],[refute_0_351:[bind(X_4593,$fot(X_4633))]]) ).
cnf(refute_0_353,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,C)
| coll(C,X_4633,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,X_4633) )],[refute_0_352,refute_0_341]) ).
cnf(refute_0_354,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_178:[bind(X_4562,$fot(C)),bind(X_4563,$fot(skolemFOFtoCNF_A)),bind(X_4564,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_355,plain,
coll(C,X_4633,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,C) )],[refute_0_354,refute_0_353]) ).
cnf(refute_0_356,plain,
coll(X_4673,X_4674,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_355:[bind(C,$fot(X_4673)),bind(X_4633,$fot(X_4674))]]) ).
cnf(refute_0_357,plain,
coll(X_4673,skolemFOFtoCNF_A,X_4674),
inference(resolve,[$cnf( coll(X_4673,X_4674,skolemFOFtoCNF_A) )],[refute_0_356,refute_0_340]) ).
cnf(refute_0_358,plain,
coll(X_4677,skolemFOFtoCNF_A,X_4678),
inference(subst,[],[refute_0_357:[bind(X_4673,$fot(X_4677)),bind(X_4674,$fot(X_4678))]]) ).
cnf(refute_0_359,plain,
( ~ coll(X_4677,skolemFOFtoCNF_A,C)
| coll(C,X_4678,X_4677) ),
inference(resolve,[$cnf( coll(X_4677,skolemFOFtoCNF_A,X_4678) )],[refute_0_358,refute_0_339]) ).
cnf(refute_0_360,plain,
( ~ coll(X_4639,skolemFOFtoCNF_I,C)
| ~ coll(X_4639,skolemFOFtoCNF_I,X_4640)
| coll(C,X_4640,X_4639) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_4639)),bind(B,$fot(skolemFOFtoCNF_I)),bind(D,$fot(X_4640))]]) ).
cnf(refute_0_361,plain,
( ~ coll(skolemFOFtoCNF_I,X_4625,X_4626)
| coll(X_4625,skolemFOFtoCNF_I,X_4626) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(X_4625)),bind(C,$fot(X_4626))]]) ).
cnf(refute_0_362,plain,
( ~ coll(X_4606,skolemFOFtoCNF_C_1,D)
| ~ coll(X_4606,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I)
| coll(skolemFOFtoCNF_I,D,X_4606) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_4606)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_363,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_4596,skolemFOFtoCNF_I)
| coll(X_4596,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_4596)),bind(C,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_364,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_Q_3)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_365,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_I),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_Q_3) )],[refute_0_200,refute_0_364]) ).
cnf(refute_0_366,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_I)
| coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(C,$fot(skolemFOFtoCNF_I)),bind(D,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_367,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_I) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
( ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,X_4564)
| ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_4564,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_4564))]]) ).
cnf(refute_0_369,plain,
( ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,X_4564)
| coll(skolemFOFtoCNF_C_1,X_4564,skolemFOFtoCNF_I) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,X_4564),
inference(subst,[],[refute_0_64:[bind(X_732,$fot(X_4564)),bind(X_733,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_371,plain,
coll(skolemFOFtoCNF_C_1,X_4564,skolemFOFtoCNF_I),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,X_4564) )],[refute_0_370,refute_0_369]) ).
cnf(refute_0_372,plain,
coll(skolemFOFtoCNF_C_1,X_4596,skolemFOFtoCNF_I),
inference(subst,[],[refute_0_371:[bind(X_4564,$fot(X_4596))]]) ).
cnf(refute_0_373,plain,
coll(X_4596,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_4596,skolemFOFtoCNF_I) )],[refute_0_372,refute_0_363]) ).
cnf(refute_0_374,plain,
coll(X_4606,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I),
inference(subst,[],[refute_0_373:[bind(X_4596,$fot(X_4606))]]) ).
cnf(refute_0_375,plain,
( ~ coll(X_4606,skolemFOFtoCNF_C_1,D)
| coll(skolemFOFtoCNF_I,D,X_4606) ),
inference(resolve,[$cnf( coll(X_4606,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I) )],[refute_0_374,refute_0_362]) ).
cnf(refute_0_376,plain,
coll(X_4606,skolemFOFtoCNF_C_1,D),
inference(subst,[],[refute_0_178:[bind(X_4562,$fot(D)),bind(X_4563,$fot(X_4606)),bind(X_4564,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_377,plain,
coll(skolemFOFtoCNF_I,D,X_4606),
inference(resolve,[$cnf( coll(X_4606,skolemFOFtoCNF_C_1,D) )],[refute_0_376,refute_0_375]) ).
cnf(refute_0_378,plain,
coll(skolemFOFtoCNF_I,X_4625,X_4626),
inference(subst,[],[refute_0_377:[bind(D,$fot(X_4625)),bind(X_4606,$fot(X_4626))]]) ).
cnf(refute_0_379,plain,
coll(X_4625,skolemFOFtoCNF_I,X_4626),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,X_4625,X_4626) )],[refute_0_378,refute_0_361]) ).
cnf(refute_0_380,plain,
coll(X_4639,skolemFOFtoCNF_I,X_4640),
inference(subst,[],[refute_0_379:[bind(X_4625,$fot(X_4639)),bind(X_4626,$fot(X_4640))]]) ).
cnf(refute_0_381,plain,
( ~ coll(X_4639,skolemFOFtoCNF_I,C)
| coll(C,X_4640,X_4639) ),
inference(resolve,[$cnf( coll(X_4639,skolemFOFtoCNF_I,X_4640) )],[refute_0_380,refute_0_360]) ).
cnf(refute_0_382,plain,
( ~ coll(X_4637,skolemFOFtoCNF_C_1,C)
| ~ coll(X_4637,skolemFOFtoCNF_C_1,X_4638)
| coll(C,X_4638,X_4637) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_4637)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_4638))]]) ).
cnf(refute_0_383,plain,
( ~ coll(X_4605,skolemFOFtoCNF_I,C)
| ~ coll(X_4605,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,X_4605) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_4605)),bind(B,$fot(skolemFOFtoCNF_I)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_384,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_4596,C)
| ~ coll(skolemFOFtoCNF_C_1,X_4596,skolemFOFtoCNF_I)
| coll(C,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_4596)),bind(D,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_385,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_4596,C)
| coll(C,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_4596,skolemFOFtoCNF_I) )],[refute_0_372,refute_0_384]) ).
cnf(refute_0_386,plain,
coll(skolemFOFtoCNF_C_1,X_4596,C),
inference(subst,[],[refute_0_178:[bind(X_4562,$fot(C)),bind(X_4563,$fot(skolemFOFtoCNF_C_1)),bind(X_4564,$fot(X_4596))]]) ).
cnf(refute_0_387,plain,
coll(C,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_4596,C) )],[refute_0_386,refute_0_385]) ).
cnf(refute_0_388,plain,
coll(X_4605,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_387:[bind(C,$fot(X_4605))]]) ).
cnf(refute_0_389,plain,
( ~ coll(X_4605,skolemFOFtoCNF_I,C)
| coll(C,skolemFOFtoCNF_C_1,X_4605) ),
inference(resolve,[$cnf( coll(X_4605,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) )],[refute_0_388,refute_0_383]) ).
cnf(refute_0_390,plain,
coll(X_4605,skolemFOFtoCNF_I,C),
inference(subst,[],[refute_0_178:[bind(X_4562,$fot(C)),bind(X_4563,$fot(X_4605)),bind(X_4564,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_391,plain,
coll(C,skolemFOFtoCNF_C_1,X_4605),
inference(resolve,[$cnf( coll(X_4605,skolemFOFtoCNF_I,C) )],[refute_0_390,refute_0_389]) ).
cnf(refute_0_392,plain,
coll(X_4637,skolemFOFtoCNF_C_1,X_4638),
inference(subst,[],[refute_0_391:[bind(C,$fot(X_4637)),bind(X_4605,$fot(X_4638))]]) ).
cnf(refute_0_393,plain,
( ~ coll(X_4637,skolemFOFtoCNF_C_1,C)
| coll(C,X_4638,X_4637) ),
inference(resolve,[$cnf( coll(X_4637,skolemFOFtoCNF_C_1,X_4638) )],[refute_0_392,refute_0_382]) ).
cnf(refute_0_394,plain,
coll(X_4637,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_178:[bind(X_4562,$fot(C)),bind(X_4563,$fot(X_4637)),bind(X_4564,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_395,plain,
coll(C,X_4638,X_4637),
inference(resolve,[$cnf( coll(X_4637,skolemFOFtoCNF_C_1,C) )],[refute_0_394,refute_0_393]) ).
cnf(refute_0_396,plain,
coll(X_4639,skolemFOFtoCNF_I,C),
inference(subst,[],[refute_0_395:[bind(C,$fot(X_4639)),bind(X_4637,$fot(C)),bind(X_4638,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_397,plain,
coll(C,X_4640,X_4639),
inference(resolve,[$cnf( coll(X_4639,skolemFOFtoCNF_I,C) )],[refute_0_396,refute_0_381]) ).
cnf(refute_0_398,plain,
coll(X_4677,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_397:[bind(C,$fot(X_4677)),bind(X_4639,$fot(C)),bind(X_4640,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_399,plain,
coll(C,X_4678,X_4677),
inference(resolve,[$cnf( coll(X_4677,skolemFOFtoCNF_A,C) )],[refute_0_398,refute_0_359]) ).
cnf(refute_0_400,plain,
coll(X_4691,skolemFOFtoCNF_C1,C),
inference(subst,[],[refute_0_399:[bind(C,$fot(X_4691)),bind(X_4677,$fot(C)),bind(X_4678,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_401,plain,
coll(C,X_4692,X_4691),
inference(resolve,[$cnf( coll(X_4691,skolemFOFtoCNF_C1,C) )],[refute_0_400,refute_0_338]) ).
cnf(refute_0_402,plain,
coll(X_4696,skolemFOFtoCNF_A1,C),
inference(subst,[],[refute_0_401:[bind(C,$fot(X_4696)),bind(X_4691,$fot(C)),bind(X_4692,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_403,plain,
coll(C,X_4697,X_4696),
inference(resolve,[$cnf( coll(X_4696,skolemFOFtoCNF_A1,C) )],[refute_0_402,refute_0_316]) ).
cnf(refute_0_404,plain,
coll(X_4700,skolemFOFtoCNF_P_8,C),
inference(subst,[],[refute_0_403:[bind(C,$fot(X_4700)),bind(X_4696,$fot(C)),bind(X_4697,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_405,plain,
coll(C,X_4701,X_4700),
inference(resolve,[$cnf( coll(X_4700,skolemFOFtoCNF_P_8,C) )],[refute_0_404,refute_0_291]) ).
cnf(refute_0_406,plain,
coll(X_4704,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_405:[bind(C,$fot(X_4704)),bind(X_4700,$fot(C)),bind(X_4701,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_407,plain,
coll(C,X_4705,X_4704),
inference(resolve,[$cnf( coll(X_4704,skolemFOFtoCNF_B_1,C) )],[refute_0_406,refute_0_267]) ).
cnf(refute_0_408,plain,
coll(X_4708,skolemFOFtoCNF_B1,C),
inference(subst,[],[refute_0_407:[bind(C,$fot(X_4708)),bind(X_4704,$fot(C)),bind(X_4705,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_409,plain,
coll(C,X_4709,X_4708),
inference(resolve,[$cnf( coll(X_4708,skolemFOFtoCNF_B1,C) )],[refute_0_408,refute_0_244]) ).
cnf(refute_0_410,plain,
coll(X_4712,skolemFOFtoCNF_Q_3,C),
inference(subst,[],[refute_0_409:[bind(C,$fot(X_4712)),bind(X_4708,$fot(C)),bind(X_4709,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_411,plain,
coll(C,X_4713,X_4712),
inference(resolve,[$cnf( coll(X_4712,skolemFOFtoCNF_Q_3,C) )],[refute_0_410,refute_0_216]) ).
cnf(refute_0_412,plain,
coll(X_4718,skolemFOFtoCNF_N,C),
inference(subst,[],[refute_0_411:[bind(C,$fot(X_4718)),bind(X_4712,$fot(C)),bind(X_4713,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_413,plain,
coll(C,X_4719,X_4718),
inference(resolve,[$cnf( coll(X_4718,skolemFOFtoCNF_N,C) )],[refute_0_412,refute_0_184]) ).
cnf(refute_0_414,plain,
coll(X_5907,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)),
inference(subst,[],[refute_0_413:[bind(C,$fot(X_5907)),bind(X_4718,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(X_4719,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)))]]) ).
cnf(refute_0_415,plain,
midp(X_5907,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)),
inference(resolve,[$cnf( coll(X_5907,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)) )],[refute_0_414,refute_0_125]) ).
cnf(refute_0_416,plain,
midp(X_5908,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)),
inference(subst,[],[refute_0_415:[bind(X_5907,$fot(X_5908))]]) ).
cnf(refute_0_417,plain,
( ~ para(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),D,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),D)
| midp(X_5908,D,D) ),
inference(resolve,[$cnf( midp(X_5908,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)) )],[refute_0_416,refute_0_19]) ).
cnf(refute_0_418,plain,
para(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),D,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),D),
inference(subst,[],[refute_0_58:[bind(X_723,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(X_724,$fot(D))]]) ).
cnf(refute_0_419,plain,
midp(X_5908,D,D),
inference(resolve,[$cnf( para(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),D,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),D) )],[refute_0_418,refute_0_417]) ).
cnf(refute_0_420,plain,
midp(X_8261,X_8260,X_8260),
inference(subst,[],[refute_0_419:[bind(D,$fot(X_8260)),bind(X_5908,$fot(X_8261))]]) ).
cnf(refute_0_421,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_79]) ).
cnf(refute_0_422,plain,
( ~ midp(X_8261,X_8260,X_8260)
| ~ perp(X_8260,X_8259,X_8259,X_8260)
| cong(X_8260,X_8261,X_8259,X_8261) ),
inference(subst,[],[refute_0_421:[bind(A,$fot(X_8260)),bind(B,$fot(X_8259)),bind(C,$fot(X_8260)),bind(M,$fot(X_8261))]]) ).
cnf(refute_0_423,plain,
( ~ perp(X_8260,X_8259,X_8259,X_8260)
| cong(X_8260,X_8261,X_8259,X_8261) ),
inference(resolve,[$cnf( midp(X_8261,X_8260,X_8260) )],[refute_0_420,refute_0_422]) ).
cnf(refute_0_424,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_81]) ).
cnf(refute_0_425,plain,
( ~ cong(X_6261,X_6262,X_6261,X_6262)
| ~ cyclic(X_6261,X_6261,X_6262,X_6262)
| perp(X_6262,X_6261,X_6261,X_6262) ),
inference(subst,[],[refute_0_424:[bind(A,$fot(X_6261)),bind(B,$fot(X_6261)),bind(P,$fot(X_6262)),bind(Q,$fot(X_6262))]]) ).
cnf(refute_0_426,plain,
( ~ cyclic(X_6259,X_6259,X_6259,X_6260)
| cyclic(X_6259,X_6259,X_6260,X_6260) ),
inference(subst,[],[refute_0_39:[bind(A,$fot(X_6259)),bind(B,$fot(X_6259)),bind(C,$fot(X_6259)),bind(D,$fot(X_6260)),bind(E,$fot(X_6260))]]) ).
cnf(refute_0_427,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_83]) ).
cnf(refute_0_428,plain,
( ~ cyclic(X_6257,X_6257,X_6258,X_6257)
| cyclic(X_6257,X_6257,X_6257,X_6258) ),
inference(subst,[],[refute_0_427:[bind(A,$fot(X_6257)),bind(B,$fot(X_6257)),bind(C,$fot(X_6258)),bind(D,$fot(X_6257))]]) ).
cnf(refute_0_429,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_85]) ).
cnf(refute_0_430,plain,
( ~ cyclic(X_6255,X_6256,X_6255,X_6255)
| cyclic(X_6255,X_6255,X_6256,X_6255) ),
inference(subst,[],[refute_0_429:[bind(A,$fot(X_6255)),bind(B,$fot(X_6256)),bind(C,$fot(X_6255)),bind(D,$fot(X_6255))]]) ).
cnf(refute_0_431,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_87]) ).
cnf(refute_0_432,plain,
( ~ cyclic(X_6254,X_6253,X_6253,X_6253)
| cyclic(X_6253,X_6254,X_6253,X_6253) ),
inference(subst,[],[refute_0_431:[bind(A,$fot(X_6254)),bind(B,$fot(X_6253)),bind(C,$fot(X_6253)),bind(D,$fot(X_6253))]]) ).
cnf(refute_0_433,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_6252,X_6251),X_6252,skolemFOFtoCNF_P_1(X_6252,X_6251),X_6251)
| cyclic(X_6252,X_6251,X_6251,X_6251) ),
inference(subst,[],[refute_0_41:[bind(A,$fot(X_6252)),bind(B,$fot(X_6251)),bind(C,$fot(X_6251)),bind(D,$fot(X_6251)),bind(O,$fot(skolemFOFtoCNF_P_1(X_6252,X_6251)))]]) ).
cnf(refute_0_434,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_5860,X_5859),X_5860,X_5859)
| cong(skolemFOFtoCNF_P_1(X_5860,X_5859),X_5860,skolemFOFtoCNF_P_1(X_5860,X_5859),X_5859) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_P_1(X_5860,X_5859))),bind(B,$fot(X_5860)),bind(C,$fot(X_5859))]]) ).
cnf(refute_0_435,plain,
midp(skolemFOFtoCNF_P_1(X_5860,X_5859),X_5860,X_5859),
inference(subst,[],[refute_0_98:[bind(Q,$fot(X_5859)),bind(X_5858,$fot(X_5860))]]) ).
cnf(refute_0_436,plain,
cong(skolemFOFtoCNF_P_1(X_5860,X_5859),X_5860,skolemFOFtoCNF_P_1(X_5860,X_5859),X_5859),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_5860,X_5859),X_5860,X_5859) )],[refute_0_435,refute_0_434]) ).
cnf(refute_0_437,plain,
cong(skolemFOFtoCNF_P_1(X_6252,X_6251),X_6252,skolemFOFtoCNF_P_1(X_6252,X_6251),X_6251),
inference(subst,[],[refute_0_436:[bind(X_5859,$fot(X_6251)),bind(X_5860,$fot(X_6252))]]) ).
cnf(refute_0_438,plain,
cyclic(X_6252,X_6251,X_6251,X_6251),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_6252,X_6251),X_6252,skolemFOFtoCNF_P_1(X_6252,X_6251),X_6251) )],[refute_0_437,refute_0_433]) ).
cnf(refute_0_439,plain,
cyclic(X_6254,X_6253,X_6253,X_6253),
inference(subst,[],[refute_0_438:[bind(X_6251,$fot(X_6253)),bind(X_6252,$fot(X_6254))]]) ).
cnf(refute_0_440,plain,
cyclic(X_6253,X_6254,X_6253,X_6253),
inference(resolve,[$cnf( cyclic(X_6254,X_6253,X_6253,X_6253) )],[refute_0_439,refute_0_432]) ).
cnf(refute_0_441,plain,
cyclic(X_6255,X_6256,X_6255,X_6255),
inference(subst,[],[refute_0_440:[bind(X_6253,$fot(X_6255)),bind(X_6254,$fot(X_6256))]]) ).
cnf(refute_0_442,plain,
cyclic(X_6255,X_6255,X_6256,X_6255),
inference(resolve,[$cnf( cyclic(X_6255,X_6256,X_6255,X_6255) )],[refute_0_441,refute_0_430]) ).
cnf(refute_0_443,plain,
cyclic(X_6257,X_6257,X_6258,X_6257),
inference(subst,[],[refute_0_442:[bind(X_6255,$fot(X_6257)),bind(X_6256,$fot(X_6258))]]) ).
cnf(refute_0_444,plain,
cyclic(X_6257,X_6257,X_6257,X_6258),
inference(resolve,[$cnf( cyclic(X_6257,X_6257,X_6258,X_6257) )],[refute_0_443,refute_0_428]) ).
cnf(refute_0_445,plain,
cyclic(X_6259,X_6259,X_6259,X_6260),
inference(subst,[],[refute_0_444:[bind(X_6257,$fot(X_6259)),bind(X_6258,$fot(X_6260))]]) ).
cnf(refute_0_446,plain,
cyclic(X_6259,X_6259,X_6260,X_6260),
inference(resolve,[$cnf( cyclic(X_6259,X_6259,X_6259,X_6260) )],[refute_0_445,refute_0_426]) ).
cnf(refute_0_447,plain,
cyclic(X_6261,X_6261,X_6262,X_6262),
inference(subst,[],[refute_0_446:[bind(X_6259,$fot(X_6261)),bind(X_6260,$fot(X_6262))]]) ).
cnf(refute_0_448,plain,
( ~ cong(X_6261,X_6262,X_6261,X_6262)
| perp(X_6262,X_6261,X_6261,X_6262) ),
inference(resolve,[$cnf( cyclic(X_6261,X_6261,X_6262,X_6262) )],[refute_0_447,refute_0_425]) ).
cnf(refute_0_449,plain,
( ~ midp(X_5910,X_5909,X_5909)
| cong(X_5910,X_5909,X_5910,X_5909) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_5910)),bind(B,$fot(X_5909)),bind(C,$fot(X_5909))]]) ).
cnf(refute_0_450,plain,
midp(X_5910,X_5909,X_5909),
inference(subst,[],[refute_0_419:[bind(D,$fot(X_5909)),bind(X_5908,$fot(X_5910))]]) ).
cnf(refute_0_451,plain,
cong(X_5910,X_5909,X_5910,X_5909),
inference(resolve,[$cnf( midp(X_5910,X_5909,X_5909) )],[refute_0_450,refute_0_449]) ).
cnf(refute_0_452,plain,
cong(X_6261,X_6262,X_6261,X_6262),
inference(subst,[],[refute_0_451:[bind(X_5909,$fot(X_6262)),bind(X_5910,$fot(X_6261))]]) ).
cnf(refute_0_453,plain,
perp(X_6262,X_6261,X_6261,X_6262),
inference(resolve,[$cnf( cong(X_6261,X_6262,X_6261,X_6262) )],[refute_0_452,refute_0_448]) ).
cnf(refute_0_454,plain,
perp(X_8260,X_8259,X_8259,X_8260),
inference(subst,[],[refute_0_453:[bind(X_6261,$fot(X_8259)),bind(X_6262,$fot(X_8260))]]) ).
cnf(refute_0_455,plain,
cong(X_8260,X_8261,X_8259,X_8261),
inference(resolve,[$cnf( perp(X_8260,X_8259,X_8259,X_8260) )],[refute_0_454,refute_0_423]) ).
cnf(refute_0_456,plain,
cong(X_8279,X_8280,X_8278,X_8280),
inference(subst,[],[refute_0_455:[bind(X_8259,$fot(X_8278)),bind(X_8260,$fot(X_8279)),bind(X_8261,$fot(X_8280))]]) ).
cnf(refute_0_457,plain,
cong(X_8279,X_8280,X_8280,X_8278),
inference(resolve,[$cnf( cong(X_8279,X_8280,X_8278,X_8280) )],[refute_0_456,refute_0_17]) ).
cnf(refute_0_458,plain,
cong(X_8318,X_8319,X_8319,X_8317),
inference(subst,[],[refute_0_457:[bind(X_8278,$fot(X_8317)),bind(X_8279,$fot(X_8318)),bind(X_8280,$fot(X_8319))]]) ).
cnf(refute_0_459,plain,
cong(X_8319,X_8317,X_8318,X_8319),
inference(resolve,[$cnf( cong(X_8318,X_8319,X_8319,X_8317) )],[refute_0_458,refute_0_16]) ).
cnf(refute_0_460,plain,
cong(X_8358,X_8356,X_8357,X_8358),
inference(subst,[],[refute_0_459:[bind(X_8317,$fot(X_8356)),bind(X_8318,$fot(X_8357)),bind(X_8319,$fot(X_8358))]]) ).
cnf(refute_0_461,plain,
cong(X_8358,X_8356,X_8358,X_8357),
inference(resolve,[$cnf( cong(X_8358,X_8356,X_8357,X_8358) )],[refute_0_460,refute_0_14]) ).
cnf(refute_0_462,plain,
cong(X_8361,X_8359,X_8361,X_8360),
inference(subst,[],[refute_0_461:[bind(X_8356,$fot(X_8359)),bind(X_8357,$fot(X_8360)),bind(X_8358,$fot(X_8361))]]) ).
cnf(refute_0_463,plain,
( ~ coll(X_8361,X_8359,X_8360)
| midp(X_8361,X_8359,X_8360) ),
inference(resolve,[$cnf( cong(X_8361,X_8359,X_8361,X_8360) )],[refute_0_462,refute_0_12]) ).
cnf(refute_0_464,plain,
coll(X_8361,X_8359,X_8360),
inference(subst,[],[refute_0_413:[bind(C,$fot(X_8361)),bind(X_4718,$fot(X_8360)),bind(X_4719,$fot(X_8359))]]) ).
cnf(refute_0_465,plain,
midp(X_8361,X_8359,X_8360),
inference(resolve,[$cnf( coll(X_8361,X_8359,X_8360) )],[refute_0_464,refute_0_463]) ).
cnf(refute_0_466,plain,
midp(E,A,B),
inference(subst,[],[refute_0_465:[bind(X_8359,$fot(A)),bind(X_8360,$fot(B)),bind(X_8361,$fot(E))]]) ).
cnf(refute_0_467,plain,
( ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(resolve,[$cnf( midp(E,A,B) )],[refute_0_466,refute_0_10]) ).
cnf(refute_0_468,plain,
midp(F,A,C),
inference(subst,[],[refute_0_465:[bind(X_8359,$fot(A)),bind(X_8360,$fot(C)),bind(X_8361,$fot(F))]]) ).
cnf(refute_0_469,plain,
para(E,F,B,C),
inference(resolve,[$cnf( midp(F,A,C) )],[refute_0_468,refute_0_467]) ).
cnf(refute_0_470,plain,
para(X_11014,X_11015,X_11012,X_11013),
inference(subst,[],[refute_0_469:[bind(B,$fot(X_11012)),bind(C,$fot(X_11013)),bind(E,$fot(X_11014)),bind(F,$fot(X_11015))]]) ).
cnf(refute_0_471,plain,
eqangle(X_11014,X_11015,P,Q,X_11012,X_11013,P,Q),
inference(resolve,[$cnf( para(X_11014,X_11015,X_11012,X_11013) )],[refute_0_470,refute_0_9]) ).
cnf(refute_0_472,plain,
eqangle(X_11020,X_11021,X_11016,X_11017,X_11018,X_11019,X_11016,X_11017),
inference(subst,[],[refute_0_471:[bind(P,$fot(X_11016)),bind(Q,$fot(X_11017)),bind(X_11012,$fot(X_11018)),bind(X_11013,$fot(X_11019)),bind(X_11014,$fot(X_11020)),bind(X_11015,$fot(X_11021))]]) ).
cnf(refute_0_473,plain,
eqangle(X_11020,X_11021,X_11018,X_11019,X_11016,X_11017,X_11016,X_11017),
inference(resolve,[$cnf( eqangle(X_11020,X_11021,X_11016,X_11017,X_11018,X_11019,X_11016,X_11017) )],[refute_0_472,refute_0_7]) ).
cnf(refute_0_474,plain,
eqangle(X_11026,X_11027,X_11024,X_11025,X_11022,X_11023,X_11022,X_11023),
inference(subst,[],[refute_0_473:[bind(X_11016,$fot(X_11022)),bind(X_11017,$fot(X_11023)),bind(X_11018,$fot(X_11024)),bind(X_11019,$fot(X_11025)),bind(X_11020,$fot(X_11026)),bind(X_11021,$fot(X_11027))]]) ).
cnf(refute_0_475,plain,
eqangle(X_11022,X_11023,X_11022,X_11023,X_11026,X_11027,X_11024,X_11025),
inference(resolve,[$cnf( eqangle(X_11026,X_11027,X_11024,X_11025,X_11022,X_11023,X_11022,X_11023) )],[refute_0_474,refute_0_5]) ).
cnf(refute_0_476,plain,
eqangle(X_11034,X_11035,X_11034,X_11035,X_11038,X_11039,X_11036,X_11037),
inference(subst,[],[refute_0_475:[bind(X_11022,$fot(X_11034)),bind(X_11023,$fot(X_11035)),bind(X_11024,$fot(X_11036)),bind(X_11025,$fot(X_11037)),bind(X_11026,$fot(X_11038)),bind(X_11027,$fot(X_11039))]]) ).
cnf(refute_0_477,plain,
eqangle(X_11035,X_11034,X_11034,X_11035,X_11038,X_11039,X_11036,X_11037),
inference(resolve,[$cnf( eqangle(X_11034,X_11035,X_11034,X_11035,X_11038,X_11039,X_11036,X_11037) )],[refute_0_476,refute_0_4]) ).
cnf(refute_0_478,plain,
eqangle(X_11041,X_11040,X_11040,X_11041,X_11044,X_11045,X_11042,X_11043),
inference(subst,[],[refute_0_477:[bind(X_11034,$fot(X_11040)),bind(X_11035,$fot(X_11041)),bind(X_11036,$fot(X_11042)),bind(X_11037,$fot(X_11043)),bind(X_11038,$fot(X_11044)),bind(X_11039,$fot(X_11045))]]) ).
cnf(refute_0_479,plain,
eqangle(X_11044,X_11045,X_11042,X_11043,X_11041,X_11040,X_11040,X_11041),
inference(resolve,[$cnf( eqangle(X_11041,X_11040,X_11040,X_11041,X_11044,X_11045,X_11042,X_11043) )],[refute_0_478,refute_0_2]) ).
cnf(refute_0_480,plain,
eqangle(X_13354,X_13355,X_13356,X_13357,X_13365,X_13364,X_13364,X_13365),
inference(subst,[],[refute_0_479:[bind(X_11040,$fot(X_13364)),bind(X_11041,$fot(X_13365)),bind(X_11042,$fot(X_13356)),bind(X_11043,$fot(X_13357)),bind(X_11044,$fot(X_13354)),bind(X_11045,$fot(X_13355))]]) ).
cnf(refute_0_481,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| ~ eqangle(P,Q,U,V,E,F,G,H)
| eqangle(A,B,C,D,E,F,G,H) ),
inference(canonicalize,[],[normalize_0_89]) ).
cnf(refute_0_482,plain,
( ~ eqangle(X_13354,X_13355,X_13356,X_13357,X_13365,X_13364,X_13364,X_13365)
| ~ eqangle(X_13365,X_13364,X_13364,X_13365,X_13358,X_13359,X_13360,X_13361)
| eqangle(X_13354,X_13355,X_13356,X_13357,X_13358,X_13359,X_13360,X_13361) ),
inference(subst,[],[refute_0_481:[bind(A,$fot(X_13354)),bind(B,$fot(X_13355)),bind(C,$fot(X_13356)),bind(D,$fot(X_13357)),bind(E,$fot(X_13358)),bind(F,$fot(X_13359)),bind(G,$fot(X_13360)),bind(H,$fot(X_13361)),bind(P,$fot(X_13365)),bind(Q,$fot(X_13364)),bind(U,$fot(X_13364)),bind(V,$fot(X_13365))]]) ).
cnf(refute_0_483,plain,
( ~ eqangle(X_13365,X_13364,X_13364,X_13365,X_13358,X_13359,X_13360,X_13361)
| eqangle(X_13354,X_13355,X_13356,X_13357,X_13358,X_13359,X_13360,X_13361) ),
inference(resolve,[$cnf( eqangle(X_13354,X_13355,X_13356,X_13357,X_13365,X_13364,X_13364,X_13365) )],[refute_0_480,refute_0_482]) ).
cnf(refute_0_484,plain,
eqangle(X_13365,X_13364,X_13364,X_13365,X_13358,X_13359,X_13360,X_13361),
inference(subst,[],[refute_0_477:[bind(X_11034,$fot(X_13364)),bind(X_11035,$fot(X_13365)),bind(X_11036,$fot(X_13360)),bind(X_11037,$fot(X_13361)),bind(X_11038,$fot(X_13358)),bind(X_11039,$fot(X_13359))]]) ).
cnf(refute_0_485,plain,
eqangle(X_13354,X_13355,X_13356,X_13357,X_13358,X_13359,X_13360,X_13361),
inference(resolve,[$cnf( eqangle(X_13365,X_13364,X_13364,X_13365,X_13358,X_13359,X_13360,X_13361) )],[refute_0_484,refute_0_483]) ).
cnf(refute_0_486,plain,
eqangle(skolemFOFtoCNF_B1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_N,skolemFOFtoCNF_N,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_C1),
inference(subst,[],[refute_0_485:[bind(X_13354,$fot(skolemFOFtoCNF_B1)),bind(X_13355,$fot(skolemFOFtoCNF_A1)),bind(X_13356,$fot(skolemFOFtoCNF_A1)),bind(X_13357,$fot(skolemFOFtoCNF_N)),bind(X_13358,$fot(skolemFOFtoCNF_N)),bind(X_13359,$fot(skolemFOFtoCNF_A1)),bind(X_13360,$fot(skolemFOFtoCNF_A1)),bind(X_13361,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_487,plain,
$false,
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_N,skolemFOFtoCNF_N,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_C1) )],[refute_0_486,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GEO625+1 : TPTP v8.1.0. Released v7.5.0.
% 0.09/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 14:04:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 89.57/89.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 89.57/89.77
% 89.57/89.77 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 89.64/89.80
%------------------------------------------------------------------------------