%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO598+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 05:27:36 EDT 2022
% Result : Theorem 123.60s 123.81s
% Output : CNFRefutation 123.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 105
% Number of leaves : 35
% Syntax : Number of formulae : 607 ( 267 unt; 0 def)
% Number of atoms : 1123 ( 0 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 933 ( 417 ~; 412 |; 67 &)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-3 aty)
% Number of variables : 1405 ( 311 sgn 557 !; 23 ?)
% 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(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(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C) )
=> circle(O,A,B,C) ) ).
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(ruleD53,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ) ).
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(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(exemplo6GDDFULL416060,conjecture,
! [A,B,C,D,E,F,G,H,I,NWPNT1] :
( ( circle(D,A,B,C)
& midp(E,C,B)
& midp(F,A,C)
& midp(G,B,A)
& coll(H,D,G)
& circle(D,A,H,NWPNT1)
& perp(I,H,A,C)
& coll(I,A,C) )
=> eqangle(F,G,G,I,I,G,G,E) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E,F,G,H,I,NWPNT1] :
( ( circle(D,A,B,C)
& midp(E,C,B)
& midp(F,A,C)
& midp(G,B,A)
& coll(H,D,G)
& circle(D,A,H,NWPNT1)
& perp(I,H,A,C)
& coll(I,A,C) )
=> eqangle(F,G,G,I,I,G,G,E) ),
inference(strip,[],[exemplo6GDDFULL416060]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E,F,G,H,I,NWPNT1] :
( ( circle(D,A,B,C)
& midp(E,C,B)
& midp(F,A,C)
& midp(G,B,A)
& coll(H,D,G)
& circle(D,A,H,NWPNT1)
& perp(I,H,A,C)
& coll(I,A,C) )
=> eqangle(F,G,G,I,I,G,G,E) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F,G,H,I] :
( ~ eqangle(F,G,G,I,I,G,G,E)
& circle(D,A,B,C)
& coll(H,D,G)
& coll(I,A,C)
& midp(E,C,B)
& midp(F,A,C)
& midp(G,B,A)
& perp(I,H,A,C)
& ? [NWPNT1] : circle(D,A,H,NWPNT1) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ eqangle(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_E)
& circle(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_H,skolemFOFtoCNF_D,skolemFOFtoCNF_G)
& coll(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
& perp(skolemFOFtoCNF_I,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& ? [NWPNT1] : circle(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_H,NWPNT1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ eqangle(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_E),
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,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[ruleD52]) ).
fof(normalize_0_21,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,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_23,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_22]) ).
fof(normalize_0_24,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_25,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_24]) ).
fof(normalize_0_26,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_27,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_29,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_31,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,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_33,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_32]) ).
fof(normalize_0_34,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_35,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,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_37,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_36]) ).
fof(normalize_0_38,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_37]) ).
fof(normalize_0_39,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_40,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_42,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_41]) ).
fof(normalize_0_43,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_44,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_43]) ).
fof(normalize_0_45,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_46,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_45]) ).
fof(normalize_0_47,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_46]) ).
fof(normalize_0_48,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_49,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_48]) ).
fof(normalize_0_50,plain,
midp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_51,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_52,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_51]) ).
fof(normalize_0_53,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[ruleD19]) ).
fof(normalize_0_54,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_53]) ).
fof(normalize_0_55,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_56,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_55]) ).
fof(normalize_0_57,plain,
midp(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_58,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_59,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_58]) ).
fof(normalize_0_60,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_61,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_60]) ).
fof(normalize_0_62,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[ruleD12]) ).
fof(normalize_0_63,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_62]) ).
fof(normalize_0_64,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[ruleD53]) ).
fof(normalize_0_65,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_64]) ).
fof(normalize_0_66,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_67,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_66]) ).
fof(normalize_0_68,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_69,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_68]) ).
fof(normalize_0_70,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(canonicalize,[],[ruleX11]) ).
fof(normalize_0_71,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(specialize,[],[normalize_0_70]) ).
fof(normalize_0_72,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(clausify,[],[normalize_0_71]) ).
fof(normalize_0_73,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_74,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_73]) ).
fof(normalize_0_75,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_74]) ).
fof(normalize_0_76,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_75]) ).
fof(normalize_0_77,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_D,skolemFOFtoCNF_G),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_78,plain,
midp(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_79,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_80,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_75]) ).
fof(normalize_0_81,plain,
circle(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_82,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_83,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_82]) ).
cnf(refute_0_0,plain,
~ eqangle(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_E),
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_16583,X_16582,X_16582,X_16583,X_16586,X_16587,X_16584,X_16585)
| eqangle(X_16586,X_16587,X_16584,X_16585,X_16583,X_16582,X_16582,X_16583) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_16583)),bind(B,$fot(X_16582)),bind(C,$fot(X_16582)),bind(D,$fot(X_16583)),bind(P,$fot(X_16586)),bind(Q,$fot(X_16587)),bind(U,$fot(X_16584)),bind(V,$fot(X_16585))]]) ).
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_16576,X_16577,X_16576,X_16577,X_16580,X_16581,X_16578,X_16579)
| eqangle(X_16577,X_16576,X_16576,X_16577,X_16580,X_16581,X_16578,X_16579) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_16576)),bind(B,$fot(X_16577)),bind(C,$fot(X_16576)),bind(D,$fot(X_16577)),bind(P,$fot(X_16580)),bind(Q,$fot(X_16581)),bind(U,$fot(X_16578)),bind(V,$fot(X_16579))]]) ).
cnf(refute_0_5,plain,
( ~ eqangle(X_16568,X_16569,X_16566,X_16567,X_16564,X_16565,X_16564,X_16565)
| eqangle(X_16564,X_16565,X_16564,X_16565,X_16568,X_16569,X_16566,X_16567) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_16568)),bind(B,$fot(X_16569)),bind(C,$fot(X_16566)),bind(D,$fot(X_16567)),bind(P,$fot(X_16564)),bind(Q,$fot(X_16565)),bind(U,$fot(X_16564)),bind(V,$fot(X_16565))]]) ).
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_16562,X_16563,X_16558,X_16559,X_16560,X_16561,X_16558,X_16559)
| eqangle(X_16562,X_16563,X_16560,X_16561,X_16558,X_16559,X_16558,X_16559) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_16562)),bind(B,$fot(X_16563)),bind(C,$fot(X_16558)),bind(D,$fot(X_16559)),bind(P,$fot(X_16560)),bind(Q,$fot(X_16561)),bind(U,$fot(X_16558)),bind(V,$fot(X_16559))]]) ).
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_16556,X_16557,X_16554,X_16555)
| eqangle(X_16556,X_16557,P,Q,X_16554,X_16555,P,Q) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_16556)),bind(B,$fot(X_16557)),bind(C,$fot(X_16554)),bind(D,$fot(X_16555))]]) ).
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_8904,X_8905,X_8906)
| ~ cong(X_8904,X_8905,X_8904,X_8906)
| midp(X_8904,X_8905,X_8906) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_8904)),bind(B,$fot(X_8905)),bind(C,$fot(X_8906))]]) ).
cnf(refute_0_13,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_14,plain,
( ~ cong(X_8901,X_8902,X_8903,X_8901)
| cong(X_8901,X_8902,X_8901,X_8903) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_8901)),bind(B,$fot(X_8902)),bind(C,$fot(X_8903)),bind(D,$fot(X_8901))]]) ).
cnf(refute_0_15,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_16,plain,
( ~ cong(X_8878,X_8876,X_8876,X_8877)
| cong(X_8876,X_8877,X_8878,X_8876) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_8878)),bind(B,$fot(X_8876)),bind(C,$fot(X_8876)),bind(D,$fot(X_8877))]]) ).
cnf(refute_0_17,plain,
( ~ cong(X_8875,X_8873,X_8874,X_8873)
| cong(X_8875,X_8873,X_8873,X_8874) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_8875)),bind(B,$fot(X_8873)),bind(C,$fot(X_8874)),bind(D,$fot(X_8873))]]) ).
cnf(refute_0_18,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_19,plain,
( ~ midp(M,X_8856,X_8856)
| ~ perp(X_8856,X_8855,X_8855,X_8856)
| cong(X_8856,M,X_8855,M) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_8856)),bind(B,$fot(X_8855)),bind(C,$fot(X_8856))]]) ).
cnf(refute_0_20,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_23]) ).
cnf(refute_0_21,plain,
( ~ cong(X_8853,X_8854,X_8853,X_8854)
| ~ cyclic(X_8853,X_8853,X_8854,X_8854)
| perp(X_8854,X_8853,X_8853,X_8854) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_8853)),bind(B,$fot(X_8853)),bind(P,$fot(X_8854)),bind(Q,$fot(X_8854))]]) ).
cnf(refute_0_22,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_23,plain,
( ~ cyclic(X_8851,X_8851,X_8851,X_8852)
| cyclic(X_8851,X_8851,X_8852,X_8852) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_8851)),bind(B,$fot(X_8851)),bind(C,$fot(X_8851)),bind(D,$fot(X_8852)),bind(E,$fot(X_8852))]]) ).
cnf(refute_0_24,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_25,plain,
( ~ cyclic(X_8849,X_8849,X_8850,X_8849)
| cyclic(X_8849,X_8849,X_8849,X_8850) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_8849)),bind(B,$fot(X_8849)),bind(C,$fot(X_8850)),bind(D,$fot(X_8849))]]) ).
cnf(refute_0_26,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_27,plain,
( ~ cyclic(X_8847,X_8848,X_8847,X_8847)
| cyclic(X_8847,X_8847,X_8848,X_8847) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_8847)),bind(B,$fot(X_8848)),bind(C,$fot(X_8847)),bind(D,$fot(X_8847))]]) ).
cnf(refute_0_28,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_29,plain,
( ~ cyclic(X_8846,X_8845,X_8845,X_8845)
| cyclic(X_8845,X_8846,X_8845,X_8845) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_8846)),bind(B,$fot(X_8845)),bind(C,$fot(X_8845)),bind(D,$fot(X_8845))]]) ).
cnf(refute_0_30,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_31,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_8844,X_8843),X_8844,skolemFOFtoCNF_P_1(X_8844,X_8843),X_8843)
| cyclic(X_8844,X_8843,X_8843,X_8843) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(X_8844)),bind(B,$fot(X_8843)),bind(C,$fot(X_8843)),bind(D,$fot(X_8843)),bind(O,$fot(skolemFOFtoCNF_P_1(X_8844,X_8843)))]]) ).
cnf(refute_0_32,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_33,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_5901,X_5900),X_5901,X_5900)
| cong(skolemFOFtoCNF_P_1(X_5901,X_5900),X_5901,skolemFOFtoCNF_P_1(X_5901,X_5900),X_5900) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(skolemFOFtoCNF_P_1(X_5901,X_5900))),bind(B,$fot(X_5901)),bind(C,$fot(X_5900))]]) ).
cnf(refute_0_34,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_35,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_34:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_36,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_37,plain,
( ~ coll(X_601,X_601,X_600)
| coll(X_601,X_600,X_601) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_601)),bind(B,$fot(X_601)),bind(C,$fot(X_600))]]) ).
cnf(refute_0_38,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_39,plain,
( ~ coll(X_598,X_599,X_599)
| coll(X_599,X_599,X_598) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_598)),bind(B,$fot(X_599)),bind(C,$fot(X_599)),bind(D,$fot(X_599))]]) ).
cnf(refute_0_40,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_41,plain,
( ~ para(X_593,X_594,X_593,X_594)
| coll(X_593,X_594,X_594) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(X_593)),bind(B,$fot(X_594)),bind(C,$fot(X_594))]]) ).
cnf(refute_0_42,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_43,plain,
( ~ eqangle(X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_591,X_592,X_591,X_592) ),
inference(subst,[],[refute_0_42:[bind(A,$fot(X_591)),bind(B,$fot(X_592)),bind(C,$fot(X_591)),bind(D,$fot(X_592)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_44,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_45,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_46,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_47,plain,
( ~ cong(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_48,plain,
midp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_49,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_50,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_49:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_51,plain,
midp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_48,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_53,plain,
cong(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_53,refute_0_47]) ).
cnf(refute_0_55,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_54,refute_0_46]) ).
cnf(refute_0_56,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_55,refute_0_45]) ).
cnf(refute_0_57,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_42:[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_58,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154) ),
inference(subst,[],[refute_0_8:[bind(A,$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,$fot(X_154))]]) ).
cnf(refute_0_60,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590),
inference(subst,[],[refute_0_60:[bind(X_153,$fot(X_589)),bind(X_154,$fot(X_590))]]) ).
cnf(refute_0_62,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_63,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590)
| eqangle(X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_62:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_589)),bind(D,$fot(X_590)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_589)),bind(V,$fot(X_590))]]) ).
cnf(refute_0_64,plain,
eqangle(X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590) )],[refute_0_61,refute_0_63]) ).
cnf(refute_0_65,plain,
eqangle(X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_64:[bind(X_589,$fot(X_591)),bind(X_590,$fot(X_592))]]) ).
cnf(refute_0_66,plain,
para(X_591,X_592,X_591,X_592),
inference(resolve,[$cnf( eqangle(X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_65,refute_0_43]) ).
cnf(refute_0_67,plain,
para(X_593,X_594,X_593,X_594),
inference(subst,[],[refute_0_66:[bind(X_591,$fot(X_593)),bind(X_592,$fot(X_594))]]) ).
cnf(refute_0_68,plain,
coll(X_593,X_594,X_594),
inference(resolve,[$cnf( para(X_593,X_594,X_593,X_594) )],[refute_0_67,refute_0_41]) ).
cnf(refute_0_69,plain,
coll(X_598,X_599,X_599),
inference(subst,[],[refute_0_68:[bind(X_593,$fot(X_598)),bind(X_594,$fot(X_599))]]) ).
cnf(refute_0_70,plain,
coll(X_599,X_599,X_598),
inference(resolve,[$cnf( coll(X_598,X_599,X_599) )],[refute_0_69,refute_0_39]) ).
cnf(refute_0_71,plain,
coll(X_601,X_601,X_600),
inference(subst,[],[refute_0_70:[bind(X_598,$fot(X_600)),bind(X_599,$fot(X_601))]]) ).
cnf(refute_0_72,plain,
coll(X_601,X_600,X_601),
inference(resolve,[$cnf( coll(X_601,X_601,X_600) )],[refute_0_71,refute_0_37]) ).
cnf(refute_0_73,plain,
coll(D,D,D),
inference(subst,[],[refute_0_72:[bind(X_600,$fot(D)),bind(X_601,$fot(D))]]) ).
cnf(refute_0_74,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_73,refute_0_35]) ).
cnf(refute_0_75,plain,
( ~ midp(skolemFOFtoCNF_G,X_5870,X_5870)
| midp(skolemFOFtoCNF_P_1(X_5870,Q),X_5870,Q) ),
inference(subst,[],[refute_0_74:[bind(D,$fot(X_5870)),bind(N,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_76,plain,
para(X_5807,X_5808,X_5807,X_5808),
inference(subst,[],[refute_0_66:[bind(X_591,$fot(X_5807)),bind(X_592,$fot(X_5808))]]) ).
cnf(refute_0_77,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_78,plain,
( ~ midp(X_5809,X_5807,X_5807)
| ~ para(X_5807,X_5808,X_5807,X_5808)
| midp(X_5809,X_5808,X_5808) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_5807)),bind(B,$fot(X_5807)),bind(C,$fot(X_5808)),bind(D,$fot(X_5808)),bind(M,$fot(X_5809))]]) ).
cnf(refute_0_79,plain,
( ~ midp(X_5809,X_5807,X_5807)
| midp(X_5809,X_5808,X_5808) ),
inference(resolve,[$cnf( para(X_5807,X_5808,X_5807,X_5808) )],[refute_0_76,refute_0_78]) ).
cnf(refute_0_80,plain,
( ~ midp(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_G,X_5808,X_5808) ),
inference(subst,[],[refute_0_79:[bind(X_5807,$fot(skolemFOFtoCNF_A)),bind(X_5809,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_81,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ cong(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_82,plain,
( ~ cong(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_G)
| cong(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_83,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_84,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_G)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_85,plain,
midp(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_86,plain,
( ~ midp(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_49:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_87,plain,
midp(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_89,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_90,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_91,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_90:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_92,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_93,plain,
( ~ cong(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_A)
| circle(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_94,plain,
( ~ midp(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_95,plain,
cong(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_85,refute_0_94]) ).
cnf(refute_0_96,plain,
circle(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_A) )],[refute_0_95,refute_0_93]) ).
cnf(refute_0_97,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_98,plain,
( ~ circle(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_97:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_99,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_96,refute_0_98]) ).
cnf(refute_0_100,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_101,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_102,plain,
( ~ midp(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_101:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_103,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_87,refute_0_102]) ).
cnf(refute_0_104,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_103,refute_0_100]) ).
cnf(refute_0_105,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_104,refute_0_99]) ).
cnf(refute_0_106,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_105,refute_0_91]) ).
cnf(refute_0_107,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_106,refute_0_89]) ).
cnf(refute_0_108,plain,
( ~ midp(X_5867,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_A,X_5867,skolemFOFtoCNF_A,X_5867) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(X_5867))]]) ).
cnf(refute_0_109,plain,
( ~ midp(X_5867,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_A,X_5867,skolemFOFtoCNF_A,X_5867) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
( ~ midp(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_109:[bind(X_5867,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_111,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_G),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_87,refute_0_110]) ).
cnf(refute_0_112,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_G) )],[refute_0_111,refute_0_84]) ).
cnf(refute_0_113,plain,
cong(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_G),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_A) )],[refute_0_112,refute_0_83]) ).
cnf(refute_0_114,plain,
cong(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_G) )],[refute_0_113,refute_0_82]) ).
cnf(refute_0_115,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_A) )],[refute_0_114,refute_0_81]) ).
cnf(refute_0_116,plain,
( ~ coll(X_3808,skolemFOFtoCNF_A,C)
| ~ coll(X_3808,skolemFOFtoCNF_A,X_3809)
| coll(C,X_3809,X_3808) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3808)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3809))]]) ).
cnf(refute_0_117,plain,
( ~ coll(X_3762,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),C)
| ~ coll(X_3762,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,X_3762) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3762)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G))),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_118,plain,
( ~ coll(skolemFOFtoCNF_A,X_3761,C)
| ~ coll(skolemFOFtoCNF_A,X_3761,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G))
| coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3761)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)))]]) ).
cnf(refute_0_119,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G))
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G))),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)))]]) ).
cnf(refute_0_120,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)),skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G))),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)))),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_121,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_122,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G))),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_123,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G))),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_124,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_G)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_90:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_125,plain,
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_126,plain,
( ~ circle(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_125:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_127,plain,
( ~ cong(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1)
| circle(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_128,plain,
( ~ midp(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_129,plain,
cong(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_87,refute_0_128]) ).
cnf(refute_0_130,plain,
circle(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) )],[refute_0_129,refute_0_127]) ).
cnf(refute_0_131,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_G),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_130,refute_0_126]) ).
cnf(refute_0_132,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_G) )],[refute_0_131,refute_0_124]) ).
cnf(refute_0_133,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A) )],[refute_0_132,refute_0_123]) ).
cnf(refute_0_134,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_76]) ).
cnf(refute_0_135,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G))
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_134:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G))),bind(H,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_136,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)) )],[refute_0_133,refute_0_135]) ).
cnf(refute_0_137,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)),skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A) )],[refute_0_136,refute_0_122]) ).
cnf(refute_0_138,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)),skolemFOFtoCNF_A) )],[refute_0_137,refute_0_120]) ).
cnf(refute_0_139,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)) )],[refute_0_138,refute_0_119]) ).
cnf(refute_0_140,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),X_3634)
| ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_3634,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G))),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3634))]]) ).
cnf(refute_0_141,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),X_3634)
| coll(skolemFOFtoCNF_A,X_3634,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),X_3634),
inference(subst,[],[refute_0_70:[bind(X_598,$fot(X_3634)),bind(X_599,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)))]]) ).
cnf(refute_0_143,plain,
coll(skolemFOFtoCNF_A,X_3634,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),X_3634) )],[refute_0_142,refute_0_141]) ).
cnf(refute_0_144,plain,
coll(skolemFOFtoCNF_A,X_3761,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)),
inference(subst,[],[refute_0_143:[bind(X_3634,$fot(X_3761))]]) ).
cnf(refute_0_145,plain,
( ~ coll(skolemFOFtoCNF_A,X_3761,C)
| coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3761,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)) )],[refute_0_144,refute_0_118]) ).
cnf(refute_0_146,plain,
( ~ coll(X_3744,skolemFOFtoCNF_H,C)
| ~ coll(X_3744,skolemFOFtoCNF_H,X_3745)
| coll(C,X_3745,X_3744) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3744)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_3745))]]) ).
cnf(refute_0_147,plain,
( ~ coll(skolemFOFtoCNF_H,X_3722,X_3723)
| coll(X_3722,skolemFOFtoCNF_H,X_3723) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(X_3722)),bind(C,$fot(X_3723))]]) ).
cnf(refute_0_148,plain,
( ~ coll(X_3669,skolemFOFtoCNF_G,D)
| ~ coll(X_3669,skolemFOFtoCNF_G,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,D,X_3669) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3669)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_149,plain,
( ~ coll(skolemFOFtoCNF_G,X_3668,skolemFOFtoCNF_H)
| coll(X_3668,skolemFOFtoCNF_G,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(X_3668)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_150,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_151,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_D,skolemFOFtoCNF_G),
inference(canonicalize,[],[normalize_0_77]) ).
cnf(refute_0_152,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_D,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_G,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_153,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_G,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_D,skolemFOFtoCNF_G) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_G,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_155,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_G,skolemFOFtoCNF_D) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_D) )],[refute_0_155,refute_0_150]) ).
cnf(refute_0_157,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_158,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_H) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_3634)
| ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,X_3634,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_3634))]]) ).
cnf(refute_0_160,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_3634)
| coll(skolemFOFtoCNF_G,X_3634,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_G) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_3634),
inference(subst,[],[refute_0_70:[bind(X_598,$fot(X_3634)),bind(X_599,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_162,plain,
coll(skolemFOFtoCNF_G,X_3634,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_3634) )],[refute_0_161,refute_0_160]) ).
cnf(refute_0_163,plain,
coll(skolemFOFtoCNF_G,X_3668,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_162:[bind(X_3634,$fot(X_3668))]]) ).
cnf(refute_0_164,plain,
coll(X_3668,skolemFOFtoCNF_G,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,X_3668,skolemFOFtoCNF_H) )],[refute_0_163,refute_0_149]) ).
cnf(refute_0_165,plain,
coll(X_3669,skolemFOFtoCNF_G,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_164:[bind(X_3668,$fot(X_3669))]]) ).
cnf(refute_0_166,plain,
( ~ coll(X_3669,skolemFOFtoCNF_G,D)
| coll(skolemFOFtoCNF_H,D,X_3669) ),
inference(resolve,[$cnf( coll(X_3669,skolemFOFtoCNF_G,skolemFOFtoCNF_H) )],[refute_0_165,refute_0_148]) ).
cnf(refute_0_167,plain,
coll(X_3632,X_3632,X_3633),
inference(subst,[],[refute_0_70:[bind(X_598,$fot(X_3633)),bind(X_599,$fot(X_3632))]]) ).
cnf(refute_0_168,plain,
( ~ coll(X_3632,X_3632,X_3633)
| ~ coll(X_3632,X_3632,X_3634)
| coll(X_3633,X_3634,X_3632) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3632)),bind(B,$fot(X_3632)),bind(C,$fot(X_3633)),bind(D,$fot(X_3634))]]) ).
cnf(refute_0_169,plain,
( ~ coll(X_3632,X_3632,X_3634)
| coll(X_3633,X_3634,X_3632) ),
inference(resolve,[$cnf( coll(X_3632,X_3632,X_3633) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
coll(X_3632,X_3632,X_3634),
inference(subst,[],[refute_0_70:[bind(X_598,$fot(X_3634)),bind(X_599,$fot(X_3632))]]) ).
cnf(refute_0_171,plain,
coll(X_3633,X_3634,X_3632),
inference(resolve,[$cnf( coll(X_3632,X_3632,X_3634) )],[refute_0_170,refute_0_169]) ).
cnf(refute_0_172,plain,
coll(X_3669,skolemFOFtoCNF_G,D),
inference(subst,[],[refute_0_171:[bind(X_3632,$fot(D)),bind(X_3633,$fot(X_3669)),bind(X_3634,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_173,plain,
coll(skolemFOFtoCNF_H,D,X_3669),
inference(resolve,[$cnf( coll(X_3669,skolemFOFtoCNF_G,D) )],[refute_0_172,refute_0_166]) ).
cnf(refute_0_174,plain,
coll(skolemFOFtoCNF_H,X_3722,X_3723),
inference(subst,[],[refute_0_173:[bind(D,$fot(X_3722)),bind(X_3669,$fot(X_3723))]]) ).
cnf(refute_0_175,plain,
coll(X_3722,skolemFOFtoCNF_H,X_3723),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,X_3722,X_3723) )],[refute_0_174,refute_0_147]) ).
cnf(refute_0_176,plain,
coll(X_3744,skolemFOFtoCNF_H,X_3745),
inference(subst,[],[refute_0_175:[bind(X_3722,$fot(X_3744)),bind(X_3723,$fot(X_3745))]]) ).
cnf(refute_0_177,plain,
( ~ coll(X_3744,skolemFOFtoCNF_H,C)
| coll(C,X_3745,X_3744) ),
inference(resolve,[$cnf( coll(X_3744,skolemFOFtoCNF_H,X_3745) )],[refute_0_176,refute_0_146]) ).
cnf(refute_0_178,plain,
( ~ coll(X_3728,skolemFOFtoCNF_B_1,C)
| ~ coll(X_3728,skolemFOFtoCNF_B_1,X_3729)
| coll(C,X_3729,X_3728) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3728)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3729))]]) ).
cnf(refute_0_179,plain,
( ~ coll(X_3670,skolemFOFtoCNF_C_1,C)
| ~ coll(X_3670,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_3670) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3670)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_180,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_3642,C)
| ~ coll(skolemFOFtoCNF_B_1,X_3642,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_3642)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_181,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_182,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_183,plain,
midp(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_78]) ).
cnf(refute_0_184,plain,
( ~ midp(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_49:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_185,plain,
midp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
( ~ midp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_101:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_187,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_187,refute_0_182]) ).
cnf(refute_0_189,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_188,refute_0_181]) ).
cnf(refute_0_190,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3634)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_3634,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3634))]]) ).
cnf(refute_0_191,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3634)
| coll(skolemFOFtoCNF_B_1,X_3634,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3634),
inference(subst,[],[refute_0_70:[bind(X_598,$fot(X_3634)),bind(X_599,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_193,plain,
coll(skolemFOFtoCNF_B_1,X_3634,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3634) )],[refute_0_192,refute_0_191]) ).
cnf(refute_0_194,plain,
coll(skolemFOFtoCNF_B_1,X_3642,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_193:[bind(X_3634,$fot(X_3642))]]) ).
cnf(refute_0_195,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_3642,C)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_3642,skolemFOFtoCNF_C_1) )],[refute_0_194,refute_0_180]) ).
cnf(refute_0_196,plain,
coll(skolemFOFtoCNF_B_1,X_3642,C),
inference(subst,[],[refute_0_171:[bind(X_3632,$fot(C)),bind(X_3633,$fot(skolemFOFtoCNF_B_1)),bind(X_3634,$fot(X_3642))]]) ).
cnf(refute_0_197,plain,
coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_3642,C) )],[refute_0_196,refute_0_195]) ).
cnf(refute_0_198,plain,
coll(X_3670,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_197:[bind(C,$fot(X_3670))]]) ).
cnf(refute_0_199,plain,
( ~ coll(X_3670,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_B_1,X_3670) ),
inference(resolve,[$cnf( coll(X_3670,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_198,refute_0_179]) ).
cnf(refute_0_200,plain,
coll(X_3670,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_171:[bind(X_3632,$fot(C)),bind(X_3633,$fot(X_3670)),bind(X_3634,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_201,plain,
coll(C,skolemFOFtoCNF_B_1,X_3670),
inference(resolve,[$cnf( coll(X_3670,skolemFOFtoCNF_C_1,C) )],[refute_0_200,refute_0_199]) ).
cnf(refute_0_202,plain,
coll(X_3728,skolemFOFtoCNF_B_1,X_3729),
inference(subst,[],[refute_0_201:[bind(C,$fot(X_3728)),bind(X_3670,$fot(X_3729))]]) ).
cnf(refute_0_203,plain,
( ~ coll(X_3728,skolemFOFtoCNF_B_1,C)
| coll(C,X_3729,X_3728) ),
inference(resolve,[$cnf( coll(X_3728,skolemFOFtoCNF_B_1,X_3729) )],[refute_0_202,refute_0_178]) ).
cnf(refute_0_204,plain,
( ~ coll(X_3716,skolemFOFtoCNF_C_1,C)
| ~ coll(X_3716,skolemFOFtoCNF_C_1,X_3717)
| coll(C,X_3717,X_3716) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3716)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3717))]]) ).
cnf(refute_0_205,plain,
( ~ coll(X_3715,skolemFOFtoCNF_I,C)
| ~ coll(X_3715,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,X_3715) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3715)),bind(B,$fot(skolemFOFtoCNF_I)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_206,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_3647,C)
| ~ coll(skolemFOFtoCNF_C_1,X_3647,skolemFOFtoCNF_I)
| coll(C,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3647)),bind(D,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_207,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_208,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_209,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_79]) ).
cnf(refute_0_210,plain,
( ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_211,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) )],[refute_0_211,refute_0_208]) ).
cnf(refute_0_213,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I) )],[refute_0_212,refute_0_207]) ).
cnf(refute_0_214,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I)
| coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_I)),bind(D,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_215,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
( ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,X_3634)
| ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_3634,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3634))]]) ).
cnf(refute_0_217,plain,
( ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,X_3634)
| coll(skolemFOFtoCNF_C_1,X_3634,skolemFOFtoCNF_I) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,X_3634),
inference(subst,[],[refute_0_70:[bind(X_598,$fot(X_3634)),bind(X_599,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_219,plain,
coll(skolemFOFtoCNF_C_1,X_3634,skolemFOFtoCNF_I),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,X_3634) )],[refute_0_218,refute_0_217]) ).
cnf(refute_0_220,plain,
coll(skolemFOFtoCNF_C_1,X_3647,skolemFOFtoCNF_I),
inference(subst,[],[refute_0_219:[bind(X_3634,$fot(X_3647))]]) ).
cnf(refute_0_221,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_3647,C)
| coll(C,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_3647,skolemFOFtoCNF_I) )],[refute_0_220,refute_0_206]) ).
cnf(refute_0_222,plain,
coll(skolemFOFtoCNF_C_1,X_3647,C),
inference(subst,[],[refute_0_171:[bind(X_3632,$fot(C)),bind(X_3633,$fot(skolemFOFtoCNF_C_1)),bind(X_3634,$fot(X_3647))]]) ).
cnf(refute_0_223,plain,
coll(C,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_3647,C) )],[refute_0_222,refute_0_221]) ).
cnf(refute_0_224,plain,
coll(X_3715,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_223:[bind(C,$fot(X_3715))]]) ).
cnf(refute_0_225,plain,
( ~ coll(X_3715,skolemFOFtoCNF_I,C)
| coll(C,skolemFOFtoCNF_C_1,X_3715) ),
inference(resolve,[$cnf( coll(X_3715,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) )],[refute_0_224,refute_0_205]) ).
cnf(refute_0_226,plain,
( ~ coll(X_3711,skolemFOFtoCNF_D,C)
| ~ coll(X_3711,skolemFOFtoCNF_D,X_3712)
| coll(C,X_3712,X_3711) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3711)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_3712))]]) ).
cnf(refute_0_227,plain,
( ~ coll(X_3674,skolemFOFtoCNF_A,C)
| ~ coll(X_3674,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| coll(C,skolemFOFtoCNF_D,X_3674) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3674)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_228,plain,
( ~ coll(skolemFOFtoCNF_A,X_3661,skolemFOFtoCNF_D)
| coll(X_3661,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3661)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_229,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_230,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D))),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_231,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D))),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_232,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D))),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_233,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_80]) ).
cnf(refute_0_234,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_233:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D)),bind(H,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_235,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_236,plain,
( ~ perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_90:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_237,plain,
( ~ perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_238,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_90:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_239,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_240,plain,
circle(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_81]) ).
cnf(refute_0_241,plain,
( ~ circle(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_125:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_242,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_242,refute_0_239]) ).
cnf(refute_0_244,plain,
perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_243,refute_0_238]) ).
cnf(refute_0_245,plain,
perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A) )],[refute_0_244,refute_0_237]) ).
cnf(refute_0_246,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)) )],[refute_0_245,refute_0_236]) ).
cnf(refute_0_247,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_246,refute_0_235]) ).
cnf(refute_0_248,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_247,refute_0_234]) ).
cnf(refute_0_249,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_248,refute_0_232]) ).
cnf(refute_0_250,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_134:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D)),bind(H,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_251,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_251,refute_0_231]) ).
cnf(refute_0_253,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A) )],[refute_0_252,refute_0_230]) ).
cnf(refute_0_254,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_253,refute_0_229]) ).
cnf(refute_0_255,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3634)
| ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_3634,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3634))]]) ).
cnf(refute_0_256,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3634)
| coll(skolemFOFtoCNF_A,X_3634,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3634),
inference(subst,[],[refute_0_70:[bind(X_598,$fot(X_3634)),bind(X_599,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_258,plain,
coll(skolemFOFtoCNF_A,X_3634,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3634) )],[refute_0_257,refute_0_256]) ).
cnf(refute_0_259,plain,
coll(skolemFOFtoCNF_A,X_3661,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_258:[bind(X_3634,$fot(X_3661))]]) ).
cnf(refute_0_260,plain,
coll(X_3661,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3661,skolemFOFtoCNF_D) )],[refute_0_259,refute_0_228]) ).
cnf(refute_0_261,plain,
coll(X_3674,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_260:[bind(X_3661,$fot(X_3674))]]) ).
cnf(refute_0_262,plain,
( ~ coll(X_3674,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_D,X_3674) ),
inference(resolve,[$cnf( coll(X_3674,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_261,refute_0_227]) ).
cnf(refute_0_263,plain,
coll(X_3674,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_171:[bind(X_3632,$fot(C)),bind(X_3633,$fot(X_3674)),bind(X_3634,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_264,plain,
coll(C,skolemFOFtoCNF_D,X_3674),
inference(resolve,[$cnf( coll(X_3674,skolemFOFtoCNF_A,C) )],[refute_0_263,refute_0_262]) ).
cnf(refute_0_265,plain,
coll(X_3711,skolemFOFtoCNF_D,X_3712),
inference(subst,[],[refute_0_264:[bind(C,$fot(X_3711)),bind(X_3674,$fot(X_3712))]]) ).
cnf(refute_0_266,plain,
( ~ coll(X_3711,skolemFOFtoCNF_D,C)
| coll(C,X_3712,X_3711) ),
inference(resolve,[$cnf( coll(X_3711,skolemFOFtoCNF_D,X_3712) )],[refute_0_265,refute_0_226]) ).
cnf(refute_0_267,plain,
( ~ coll(X_3709,skolemFOFtoCNF_E,C)
| ~ coll(X_3709,skolemFOFtoCNF_E,X_3710)
| coll(C,X_3710,X_3709) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3709)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_3710))]]) ).
cnf(refute_0_268,plain,
( ~ coll(X_3654,skolemFOFtoCNF_C_1,C)
| ~ coll(X_3654,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(C,skolemFOFtoCNF_E,X_3654) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3654)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_269,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_3637,skolemFOFtoCNF_E)
| coll(X_3637,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3637)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_270,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_271,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_272,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_187,refute_0_271]) ).
cnf(refute_0_273,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_272,refute_0_270]) ).
cnf(refute_0_274,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3634)
| ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_3634,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3634))]]) ).
cnf(refute_0_275,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3634)
| coll(skolemFOFtoCNF_C_1,X_3634,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3634),
inference(subst,[],[refute_0_70:[bind(X_598,$fot(X_3634)),bind(X_599,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_277,plain,
coll(skolemFOFtoCNF_C_1,X_3634,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3634) )],[refute_0_276,refute_0_275]) ).
cnf(refute_0_278,plain,
coll(skolemFOFtoCNF_C_1,X_3637,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_277:[bind(X_3634,$fot(X_3637))]]) ).
cnf(refute_0_279,plain,
coll(X_3637,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_3637,skolemFOFtoCNF_E) )],[refute_0_278,refute_0_269]) ).
cnf(refute_0_280,plain,
coll(X_3654,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_279:[bind(X_3637,$fot(X_3654))]]) ).
cnf(refute_0_281,plain,
( ~ coll(X_3654,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_E,X_3654) ),
inference(resolve,[$cnf( coll(X_3654,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_280,refute_0_268]) ).
cnf(refute_0_282,plain,
coll(X_3654,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_171:[bind(X_3632,$fot(C)),bind(X_3633,$fot(X_3654)),bind(X_3634,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_283,plain,
coll(C,skolemFOFtoCNF_E,X_3654),
inference(resolve,[$cnf( coll(X_3654,skolemFOFtoCNF_C_1,C) )],[refute_0_282,refute_0_281]) ).
cnf(refute_0_284,plain,
coll(X_3709,skolemFOFtoCNF_E,X_3710),
inference(subst,[],[refute_0_283:[bind(C,$fot(X_3709)),bind(X_3654,$fot(X_3710))]]) ).
cnf(refute_0_285,plain,
( ~ coll(X_3709,skolemFOFtoCNF_E,C)
| coll(C,X_3710,X_3709) ),
inference(resolve,[$cnf( coll(X_3709,skolemFOFtoCNF_E,X_3710) )],[refute_0_284,refute_0_267]) ).
cnf(refute_0_286,plain,
coll(X_3709,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_171:[bind(X_3632,$fot(C)),bind(X_3633,$fot(X_3709)),bind(X_3634,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_287,plain,
coll(C,X_3710,X_3709),
inference(resolve,[$cnf( coll(X_3709,skolemFOFtoCNF_E,C) )],[refute_0_286,refute_0_285]) ).
cnf(refute_0_288,plain,
coll(X_3711,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_287:[bind(C,$fot(X_3711)),bind(X_3709,$fot(C)),bind(X_3710,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_289,plain,
coll(C,X_3712,X_3711),
inference(resolve,[$cnf( coll(X_3711,skolemFOFtoCNF_D,C) )],[refute_0_288,refute_0_266]) ).
cnf(refute_0_290,plain,
coll(X_3715,skolemFOFtoCNF_I,C),
inference(subst,[],[refute_0_289:[bind(C,$fot(X_3715)),bind(X_3711,$fot(C)),bind(X_3712,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_291,plain,
coll(C,skolemFOFtoCNF_C_1,X_3715),
inference(resolve,[$cnf( coll(X_3715,skolemFOFtoCNF_I,C) )],[refute_0_290,refute_0_225]) ).
cnf(refute_0_292,plain,
coll(X_3716,skolemFOFtoCNF_C_1,X_3717),
inference(subst,[],[refute_0_291:[bind(C,$fot(X_3716)),bind(X_3715,$fot(X_3717))]]) ).
cnf(refute_0_293,plain,
( ~ coll(X_3716,skolemFOFtoCNF_C_1,C)
| coll(C,X_3717,X_3716) ),
inference(resolve,[$cnf( coll(X_3716,skolemFOFtoCNF_C_1,X_3717) )],[refute_0_292,refute_0_204]) ).
cnf(refute_0_294,plain,
coll(X_3716,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_289:[bind(C,$fot(X_3716)),bind(X_3711,$fot(C)),bind(X_3712,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_295,plain,
coll(C,X_3717,X_3716),
inference(resolve,[$cnf( coll(X_3716,skolemFOFtoCNF_C_1,C) )],[refute_0_294,refute_0_293]) ).
cnf(refute_0_296,plain,
coll(X_3728,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_295:[bind(C,$fot(X_3728)),bind(X_3716,$fot(C)),bind(X_3717,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_297,plain,
coll(C,X_3729,X_3728),
inference(resolve,[$cnf( coll(X_3728,skolemFOFtoCNF_B_1,C) )],[refute_0_296,refute_0_203]) ).
cnf(refute_0_298,plain,
coll(X_3744,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_297:[bind(C,$fot(X_3744)),bind(X_3728,$fot(C)),bind(X_3729,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_299,plain,
coll(C,X_3745,X_3744),
inference(resolve,[$cnf( coll(X_3744,skolemFOFtoCNF_H,C) )],[refute_0_298,refute_0_177]) ).
cnf(refute_0_300,plain,
coll(skolemFOFtoCNF_A,X_3761,C),
inference(subst,[],[refute_0_299:[bind(C,$fot(skolemFOFtoCNF_A)),bind(X_3744,$fot(C)),bind(X_3745,$fot(X_3761))]]) ).
cnf(refute_0_301,plain,
coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3761,C) )],[refute_0_300,refute_0_145]) ).
cnf(refute_0_302,plain,
coll(X_3762,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A),
inference(subst,[],[refute_0_301:[bind(C,$fot(X_3762))]]) ).
cnf(refute_0_303,plain,
( ~ coll(X_3762,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),C)
| coll(C,skolemFOFtoCNF_A,X_3762) ),
inference(resolve,[$cnf( coll(X_3762,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),skolemFOFtoCNF_A) )],[refute_0_302,refute_0_117]) ).
cnf(refute_0_304,plain,
coll(X_3762,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),C),
inference(subst,[],[refute_0_299:[bind(C,$fot(X_3762)),bind(X_3744,$fot(C)),bind(X_3745,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G)))]]) ).
cnf(refute_0_305,plain,
coll(C,skolemFOFtoCNF_A,X_3762),
inference(resolve,[$cnf( coll(X_3762,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_G),C) )],[refute_0_304,refute_0_303]) ).
cnf(refute_0_306,plain,
coll(X_3808,skolemFOFtoCNF_A,X_3809),
inference(subst,[],[refute_0_305:[bind(C,$fot(X_3808)),bind(X_3762,$fot(X_3809))]]) ).
cnf(refute_0_307,plain,
( ~ coll(X_3808,skolemFOFtoCNF_A,C)
| coll(C,X_3809,X_3808) ),
inference(resolve,[$cnf( coll(X_3808,skolemFOFtoCNF_A,X_3809) )],[refute_0_306,refute_0_116]) ).
cnf(refute_0_308,plain,
( ~ coll(X_3806,skolemFOFtoCNF_G,C)
| ~ coll(X_3806,skolemFOFtoCNF_G,X_3807)
| coll(C,X_3807,X_3806) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3806)),bind(B,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_3807))]]) ).
cnf(refute_0_309,plain,
( ~ coll(skolemFOFtoCNF_G,X_3804,X_3805)
| coll(X_3804,skolemFOFtoCNF_G,X_3805) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(X_3804)),bind(C,$fot(X_3805))]]) ).
cnf(refute_0_310,plain,
( ~ coll(X_3689,skolemFOFtoCNF_A,D)
| ~ coll(X_3689,skolemFOFtoCNF_A,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,D,X_3689) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3689)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_311,plain,
( ~ coll(skolemFOFtoCNF_A,X_3645,skolemFOFtoCNF_G)
| coll(X_3645,skolemFOFtoCNF_A,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3645)),bind(C,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_312,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_313,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_314,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_104,refute_0_313]) ).
cnf(refute_0_315,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_G) )],[refute_0_314,refute_0_312]) ).
cnf(refute_0_316,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_3634)
| ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_3634,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3634))]]) ).
cnf(refute_0_317,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_3634)
| coll(skolemFOFtoCNF_A,X_3634,skolemFOFtoCNF_G) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_A) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_3634),
inference(subst,[],[refute_0_70:[bind(X_598,$fot(X_3634)),bind(X_599,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_319,plain,
coll(skolemFOFtoCNF_A,X_3634,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_3634) )],[refute_0_318,refute_0_317]) ).
cnf(refute_0_320,plain,
coll(skolemFOFtoCNF_A,X_3645,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_319:[bind(X_3634,$fot(X_3645))]]) ).
cnf(refute_0_321,plain,
coll(X_3645,skolemFOFtoCNF_A,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3645,skolemFOFtoCNF_G) )],[refute_0_320,refute_0_311]) ).
cnf(refute_0_322,plain,
coll(X_3689,skolemFOFtoCNF_A,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_321:[bind(X_3645,$fot(X_3689))]]) ).
cnf(refute_0_323,plain,
( ~ coll(X_3689,skolemFOFtoCNF_A,D)
| coll(skolemFOFtoCNF_G,D,X_3689) ),
inference(resolve,[$cnf( coll(X_3689,skolemFOFtoCNF_A,skolemFOFtoCNF_G) )],[refute_0_322,refute_0_310]) ).
cnf(refute_0_324,plain,
coll(X_3689,skolemFOFtoCNF_A,D),
inference(subst,[],[refute_0_171:[bind(X_3632,$fot(D)),bind(X_3633,$fot(X_3689)),bind(X_3634,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_325,plain,
coll(skolemFOFtoCNF_G,D,X_3689),
inference(resolve,[$cnf( coll(X_3689,skolemFOFtoCNF_A,D) )],[refute_0_324,refute_0_323]) ).
cnf(refute_0_326,plain,
coll(skolemFOFtoCNF_G,X_3804,X_3805),
inference(subst,[],[refute_0_325:[bind(D,$fot(X_3804)),bind(X_3689,$fot(X_3805))]]) ).
cnf(refute_0_327,plain,
coll(X_3804,skolemFOFtoCNF_G,X_3805),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,X_3804,X_3805) )],[refute_0_326,refute_0_309]) ).
cnf(refute_0_328,plain,
coll(X_3806,skolemFOFtoCNF_G,X_3807),
inference(subst,[],[refute_0_327:[bind(X_3804,$fot(X_3806)),bind(X_3805,$fot(X_3807))]]) ).
cnf(refute_0_329,plain,
( ~ coll(X_3806,skolemFOFtoCNF_G,C)
| coll(C,X_3807,X_3806) ),
inference(resolve,[$cnf( coll(X_3806,skolemFOFtoCNF_G,X_3807) )],[refute_0_328,refute_0_308]) ).
cnf(refute_0_330,plain,
( ~ coll(X_3802,skolemFOFtoCNF_F,C)
| ~ coll(X_3802,skolemFOFtoCNF_F,X_3803)
| coll(C,X_3803,X_3802) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3802)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_3803))]]) ).
cnf(refute_0_331,plain,
( ~ coll(X_3687,skolemFOFtoCNF_C_1,C)
| ~ coll(X_3687,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F)
| coll(C,skolemFOFtoCNF_F,X_3687) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3687)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_332,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_3644,skolemFOFtoCNF_F)
| coll(X_3644,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3644)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_333,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_334,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_335,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_336,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_101:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_337,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_51,refute_0_336]) ).
cnf(refute_0_338,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_337,refute_0_335]) ).
cnf(refute_0_339,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_338,refute_0_334]) ).
cnf(refute_0_340,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_339,refute_0_333]) ).
cnf(refute_0_341,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3634)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_3634,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3634))]]) ).
cnf(refute_0_342,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3634)
| coll(skolemFOFtoCNF_C_1,X_3634,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3634),
inference(subst,[],[refute_0_70:[bind(X_598,$fot(X_3634)),bind(X_599,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_344,plain,
coll(skolemFOFtoCNF_C_1,X_3634,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3634) )],[refute_0_343,refute_0_342]) ).
cnf(refute_0_345,plain,
coll(skolemFOFtoCNF_C_1,X_3644,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_344:[bind(X_3634,$fot(X_3644))]]) ).
cnf(refute_0_346,plain,
coll(X_3644,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_3644,skolemFOFtoCNF_F) )],[refute_0_345,refute_0_332]) ).
cnf(refute_0_347,plain,
coll(X_3687,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_346:[bind(X_3644,$fot(X_3687))]]) ).
cnf(refute_0_348,plain,
( ~ coll(X_3687,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_F,X_3687) ),
inference(resolve,[$cnf( coll(X_3687,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) )],[refute_0_347,refute_0_331]) ).
cnf(refute_0_349,plain,
coll(X_3687,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_171:[bind(X_3632,$fot(C)),bind(X_3633,$fot(X_3687)),bind(X_3634,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_350,plain,
coll(C,skolemFOFtoCNF_F,X_3687),
inference(resolve,[$cnf( coll(X_3687,skolemFOFtoCNF_C_1,C) )],[refute_0_349,refute_0_348]) ).
cnf(refute_0_351,plain,
coll(X_3802,skolemFOFtoCNF_F,X_3803),
inference(subst,[],[refute_0_350:[bind(C,$fot(X_3802)),bind(X_3687,$fot(X_3803))]]) ).
cnf(refute_0_352,plain,
( ~ coll(X_3802,skolemFOFtoCNF_F,C)
| coll(C,X_3803,X_3802) ),
inference(resolve,[$cnf( coll(X_3802,skolemFOFtoCNF_F,X_3803) )],[refute_0_351,refute_0_330]) ).
cnf(refute_0_353,plain,
( ~ coll(X_3796,skolemFOFtoCNF_I,C)
| ~ coll(X_3796,skolemFOFtoCNF_I,X_3797)
| coll(C,X_3797,X_3796) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3796)),bind(B,$fot(skolemFOFtoCNF_I)),bind(D,$fot(X_3797))]]) ).
cnf(refute_0_354,plain,
( ~ coll(X_3648,skolemFOFtoCNF_C_1,C)
| ~ coll(X_3648,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I)
| coll(C,skolemFOFtoCNF_I,X_3648) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3648)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_355,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_3647,skolemFOFtoCNF_I)
| coll(X_3647,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3647)),bind(C,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_356,plain,
coll(X_3647,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_3647,skolemFOFtoCNF_I) )],[refute_0_220,refute_0_355]) ).
cnf(refute_0_357,plain,
coll(X_3648,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I),
inference(subst,[],[refute_0_356:[bind(X_3647,$fot(X_3648))]]) ).
cnf(refute_0_358,plain,
( ~ coll(X_3648,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_I,X_3648) ),
inference(resolve,[$cnf( coll(X_3648,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I) )],[refute_0_357,refute_0_354]) ).
cnf(refute_0_359,plain,
coll(X_3648,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_171:[bind(X_3632,$fot(C)),bind(X_3633,$fot(X_3648)),bind(X_3634,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_360,plain,
coll(C,skolemFOFtoCNF_I,X_3648),
inference(resolve,[$cnf( coll(X_3648,skolemFOFtoCNF_C_1,C) )],[refute_0_359,refute_0_358]) ).
cnf(refute_0_361,plain,
coll(X_3796,skolemFOFtoCNF_I,X_3797),
inference(subst,[],[refute_0_360:[bind(C,$fot(X_3796)),bind(X_3648,$fot(X_3797))]]) ).
cnf(refute_0_362,plain,
( ~ coll(X_3796,skolemFOFtoCNF_I,C)
| coll(C,X_3797,X_3796) ),
inference(resolve,[$cnf( coll(X_3796,skolemFOFtoCNF_I,X_3797) )],[refute_0_361,refute_0_353]) ).
cnf(refute_0_363,plain,
( ~ coll(X_3794,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),C)
| ~ coll(X_3794,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),X_3795)
| coll(C,X_3795,X_3794) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3794)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))),bind(D,$fot(X_3795))]]) ).
cnf(refute_0_364,plain,
( ~ coll(X_3774,skolemFOFtoCNF_A,C)
| ~ coll(X_3774,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))
| coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),X_3774) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_3774)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_365,plain,
( ~ coll(skolemFOFtoCNF_A,X_3760,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))
| coll(X_3760,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3760)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_366,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_367,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)),skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)))),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_368,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_369,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_370,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_90:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_371,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_242,refute_0_370]) ).
cnf(refute_0_372,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A) )],[refute_0_371,refute_0_369]) ).
cnf(refute_0_373,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_134:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))),bind(H,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_374,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)),skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A) )],[refute_0_374,refute_0_368]) ).
cnf(refute_0_376,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)),skolemFOFtoCNF_A) )],[refute_0_375,refute_0_367]) ).
cnf(refute_0_377,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)) )],[refute_0_376,refute_0_366]) ).
cnf(refute_0_378,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),X_3634)
| ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_3634,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D))),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3634))]]) ).
cnf(refute_0_379,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),X_3634)
| coll(skolemFOFtoCNF_A,X_3634,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_A) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),X_3634),
inference(subst,[],[refute_0_70:[bind(X_598,$fot(X_3634)),bind(X_599,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_381,plain,
coll(skolemFOFtoCNF_A,X_3634,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),X_3634) )],[refute_0_380,refute_0_379]) ).
cnf(refute_0_382,plain,
coll(skolemFOFtoCNF_A,X_3760,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)),
inference(subst,[],[refute_0_381:[bind(X_3634,$fot(X_3760))]]) ).
cnf(refute_0_383,plain,
coll(X_3760,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3760,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)) )],[refute_0_382,refute_0_365]) ).
cnf(refute_0_384,plain,
coll(X_3774,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)),
inference(subst,[],[refute_0_383:[bind(X_3760,$fot(X_3774))]]) ).
cnf(refute_0_385,plain,
( ~ coll(X_3774,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),X_3774) ),
inference(resolve,[$cnf( coll(X_3774,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)) )],[refute_0_384,refute_0_364]) ).
cnf(refute_0_386,plain,
coll(X_3774,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_299:[bind(C,$fot(X_3774)),bind(X_3744,$fot(C)),bind(X_3745,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_387,plain,
coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),X_3774),
inference(resolve,[$cnf( coll(X_3774,skolemFOFtoCNF_A,C) )],[refute_0_386,refute_0_385]) ).
cnf(refute_0_388,plain,
coll(X_3794,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),X_3795),
inference(subst,[],[refute_0_387:[bind(C,$fot(X_3794)),bind(X_3774,$fot(X_3795))]]) ).
cnf(refute_0_389,plain,
( ~ coll(X_3794,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),C)
| coll(C,X_3795,X_3794) ),
inference(resolve,[$cnf( coll(X_3794,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),X_3795) )],[refute_0_388,refute_0_363]) ).
cnf(refute_0_390,plain,
coll(X_3794,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),C),
inference(subst,[],[refute_0_299:[bind(C,$fot(X_3794)),bind(X_3744,$fot(C)),bind(X_3745,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_391,plain,
coll(C,X_3795,X_3794),
inference(resolve,[$cnf( coll(X_3794,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_D),C) )],[refute_0_390,refute_0_389]) ).
cnf(refute_0_392,plain,
coll(X_3796,skolemFOFtoCNF_I,C),
inference(subst,[],[refute_0_391:[bind(C,$fot(X_3796)),bind(X_3794,$fot(C)),bind(X_3795,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_393,plain,
coll(C,X_3797,X_3796),
inference(resolve,[$cnf( coll(X_3796,skolemFOFtoCNF_I,C) )],[refute_0_392,refute_0_362]) ).
cnf(refute_0_394,plain,
coll(X_3802,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_393:[bind(C,$fot(X_3802)),bind(X_3796,$fot(C)),bind(X_3797,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_395,plain,
coll(C,X_3803,X_3802),
inference(resolve,[$cnf( coll(X_3802,skolemFOFtoCNF_F,C) )],[refute_0_394,refute_0_352]) ).
cnf(refute_0_396,plain,
coll(X_3806,skolemFOFtoCNF_G,C),
inference(subst,[],[refute_0_395:[bind(C,$fot(X_3806)),bind(X_3802,$fot(C)),bind(X_3803,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_397,plain,
coll(C,X_3807,X_3806),
inference(resolve,[$cnf( coll(X_3806,skolemFOFtoCNF_G,C) )],[refute_0_396,refute_0_329]) ).
cnf(refute_0_398,plain,
coll(X_3808,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_397:[bind(C,$fot(X_3808)),bind(X_3806,$fot(C)),bind(X_3807,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_399,plain,
coll(C,X_3809,X_3808),
inference(resolve,[$cnf( coll(X_3808,skolemFOFtoCNF_A,C) )],[refute_0_398,refute_0_307]) ).
cnf(refute_0_400,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_399:[bind(C,$fot(skolemFOFtoCNF_G)),bind(X_3808,$fot(skolemFOFtoCNF_A)),bind(X_3809,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_401,plain,
midp(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_400,refute_0_115]) ).
cnf(refute_0_402,plain,
midp(skolemFOFtoCNF_G,X_5808,X_5808),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_401,refute_0_80]) ).
cnf(refute_0_403,plain,
midp(skolemFOFtoCNF_G,X_5870,X_5870),
inference(subst,[],[refute_0_402:[bind(X_5808,$fot(X_5870))]]) ).
cnf(refute_0_404,plain,
midp(skolemFOFtoCNF_P_1(X_5870,Q),X_5870,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_G,X_5870,X_5870) )],[refute_0_403,refute_0_75]) ).
cnf(refute_0_405,plain,
midp(skolemFOFtoCNF_P_1(X_5901,X_5900),X_5901,X_5900),
inference(subst,[],[refute_0_404:[bind(Q,$fot(X_5900)),bind(X_5870,$fot(X_5901))]]) ).
cnf(refute_0_406,plain,
cong(skolemFOFtoCNF_P_1(X_5901,X_5900),X_5901,skolemFOFtoCNF_P_1(X_5901,X_5900),X_5900),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_5901,X_5900),X_5901,X_5900) )],[refute_0_405,refute_0_33]) ).
cnf(refute_0_407,plain,
cong(skolemFOFtoCNF_P_1(X_8844,X_8843),X_8844,skolemFOFtoCNF_P_1(X_8844,X_8843),X_8843),
inference(subst,[],[refute_0_406:[bind(X_5900,$fot(X_8843)),bind(X_5901,$fot(X_8844))]]) ).
cnf(refute_0_408,plain,
cyclic(X_8844,X_8843,X_8843,X_8843),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_8844,X_8843),X_8844,skolemFOFtoCNF_P_1(X_8844,X_8843),X_8843) )],[refute_0_407,refute_0_31]) ).
cnf(refute_0_409,plain,
cyclic(X_8846,X_8845,X_8845,X_8845),
inference(subst,[],[refute_0_408:[bind(X_8843,$fot(X_8845)),bind(X_8844,$fot(X_8846))]]) ).
cnf(refute_0_410,plain,
cyclic(X_8845,X_8846,X_8845,X_8845),
inference(resolve,[$cnf( cyclic(X_8846,X_8845,X_8845,X_8845) )],[refute_0_409,refute_0_29]) ).
cnf(refute_0_411,plain,
cyclic(X_8847,X_8848,X_8847,X_8847),
inference(subst,[],[refute_0_410:[bind(X_8845,$fot(X_8847)),bind(X_8846,$fot(X_8848))]]) ).
cnf(refute_0_412,plain,
cyclic(X_8847,X_8847,X_8848,X_8847),
inference(resolve,[$cnf( cyclic(X_8847,X_8848,X_8847,X_8847) )],[refute_0_411,refute_0_27]) ).
cnf(refute_0_413,plain,
cyclic(X_8849,X_8849,X_8850,X_8849),
inference(subst,[],[refute_0_412:[bind(X_8847,$fot(X_8849)),bind(X_8848,$fot(X_8850))]]) ).
cnf(refute_0_414,plain,
cyclic(X_8849,X_8849,X_8849,X_8850),
inference(resolve,[$cnf( cyclic(X_8849,X_8849,X_8850,X_8849) )],[refute_0_413,refute_0_25]) ).
cnf(refute_0_415,plain,
cyclic(X_8851,X_8851,X_8851,X_8852),
inference(subst,[],[refute_0_414:[bind(X_8849,$fot(X_8851)),bind(X_8850,$fot(X_8852))]]) ).
cnf(refute_0_416,plain,
cyclic(X_8851,X_8851,X_8852,X_8852),
inference(resolve,[$cnf( cyclic(X_8851,X_8851,X_8851,X_8852) )],[refute_0_415,refute_0_23]) ).
cnf(refute_0_417,plain,
cyclic(X_8853,X_8853,X_8854,X_8854),
inference(subst,[],[refute_0_416:[bind(X_8851,$fot(X_8853)),bind(X_8852,$fot(X_8854))]]) ).
cnf(refute_0_418,plain,
( ~ cong(X_8853,X_8854,X_8853,X_8854)
| perp(X_8854,X_8853,X_8853,X_8854) ),
inference(resolve,[$cnf( cyclic(X_8853,X_8853,X_8854,X_8854) )],[refute_0_417,refute_0_21]) ).
cnf(refute_0_419,plain,
( ~ midp(X_5886,X_5885,X_5885)
| cong(X_5886,X_5885,X_5886,X_5885) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(X_5886)),bind(B,$fot(X_5885)),bind(C,$fot(X_5885))]]) ).
cnf(refute_0_420,plain,
( ~ midp(X_5884,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_5884,X_5808,X_5808) ),
inference(subst,[],[refute_0_79:[bind(X_5807,$fot(skolemFOFtoCNF_A)),bind(X_5809,$fot(X_5884))]]) ).
cnf(refute_0_421,plain,
( ~ coll(X_5883,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ cong(X_5883,skolemFOFtoCNF_A,X_5883,skolemFOFtoCNF_A)
| midp(X_5883,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_5883)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_422,plain,
( ~ cong(X_5880,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_5880)
| cong(X_5880,skolemFOFtoCNF_A,X_5880,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_5880)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_5880))]]) ).
cnf(refute_0_423,plain,
( ~ cong(skolemFOFtoCNF_A,X_5876,X_5876,skolemFOFtoCNF_A)
| cong(X_5876,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_5876) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_5876)),bind(C,$fot(X_5876)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_424,plain,
( ~ cong(skolemFOFtoCNF_A,X_5873,skolemFOFtoCNF_A,X_5873)
| cong(skolemFOFtoCNF_A,X_5873,X_5873,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_5873)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_5873))]]) ).
cnf(refute_0_425,plain,
( ~ midp(skolemFOFtoCNF_A,X_5871,X_5871)
| cong(skolemFOFtoCNF_A,X_5871,skolemFOFtoCNF_A,X_5871) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_5871)),bind(C,$fot(X_5871))]]) ).
cnf(refute_0_426,plain,
( ~ midp(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G)
| midp(skolemFOFtoCNF_A,X_5808,X_5808) ),
inference(subst,[],[refute_0_79:[bind(X_5807,$fot(skolemFOFtoCNF_G)),bind(X_5809,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_427,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G)
| ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_G)
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_428,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G)
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_G) )],[refute_0_111,refute_0_427]) ).
cnf(refute_0_429,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_399:[bind(C,$fot(skolemFOFtoCNF_A)),bind(X_3808,$fot(skolemFOFtoCNF_G)),bind(X_3809,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_430,plain,
midp(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G) )],[refute_0_429,refute_0_428]) ).
cnf(refute_0_431,plain,
midp(skolemFOFtoCNF_A,X_5808,X_5808),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G) )],[refute_0_430,refute_0_426]) ).
cnf(refute_0_432,plain,
midp(skolemFOFtoCNF_A,X_5871,X_5871),
inference(subst,[],[refute_0_431:[bind(X_5808,$fot(X_5871))]]) ).
cnf(refute_0_433,plain,
cong(skolemFOFtoCNF_A,X_5871,skolemFOFtoCNF_A,X_5871),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,X_5871,X_5871) )],[refute_0_432,refute_0_425]) ).
cnf(refute_0_434,plain,
cong(skolemFOFtoCNF_A,X_5873,skolemFOFtoCNF_A,X_5873),
inference(subst,[],[refute_0_433:[bind(X_5871,$fot(X_5873))]]) ).
cnf(refute_0_435,plain,
cong(skolemFOFtoCNF_A,X_5873,X_5873,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_5873,skolemFOFtoCNF_A,X_5873) )],[refute_0_434,refute_0_424]) ).
cnf(refute_0_436,plain,
cong(skolemFOFtoCNF_A,X_5876,X_5876,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_435:[bind(X_5873,$fot(X_5876))]]) ).
cnf(refute_0_437,plain,
cong(X_5876,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_5876),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_5876,X_5876,skolemFOFtoCNF_A) )],[refute_0_436,refute_0_423]) ).
cnf(refute_0_438,plain,
cong(X_5880,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_5880),
inference(subst,[],[refute_0_437:[bind(X_5876,$fot(X_5880))]]) ).
cnf(refute_0_439,plain,
cong(X_5880,skolemFOFtoCNF_A,X_5880,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(X_5880,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_5880) )],[refute_0_438,refute_0_422]) ).
cnf(refute_0_440,plain,
cong(X_5883,skolemFOFtoCNF_A,X_5883,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_439:[bind(X_5880,$fot(X_5883))]]) ).
cnf(refute_0_441,plain,
( ~ coll(X_5883,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_5883,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( cong(X_5883,skolemFOFtoCNF_A,X_5883,skolemFOFtoCNF_A) )],[refute_0_440,refute_0_421]) ).
cnf(refute_0_442,plain,
coll(X_5883,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_399:[bind(C,$fot(X_5883)),bind(X_3808,$fot(skolemFOFtoCNF_A)),bind(X_3809,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_443,plain,
midp(X_5883,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(X_5883,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_442,refute_0_441]) ).
cnf(refute_0_444,plain,
midp(X_5884,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_443:[bind(X_5883,$fot(X_5884))]]) ).
cnf(refute_0_445,plain,
midp(X_5884,X_5808,X_5808),
inference(resolve,[$cnf( midp(X_5884,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_444,refute_0_420]) ).
cnf(refute_0_446,plain,
midp(X_5886,X_5885,X_5885),
inference(subst,[],[refute_0_445:[bind(X_5808,$fot(X_5885)),bind(X_5884,$fot(X_5886))]]) ).
cnf(refute_0_447,plain,
cong(X_5886,X_5885,X_5886,X_5885),
inference(resolve,[$cnf( midp(X_5886,X_5885,X_5885) )],[refute_0_446,refute_0_419]) ).
cnf(refute_0_448,plain,
cong(X_8853,X_8854,X_8853,X_8854),
inference(subst,[],[refute_0_447:[bind(X_5885,$fot(X_8854)),bind(X_5886,$fot(X_8853))]]) ).
cnf(refute_0_449,plain,
perp(X_8854,X_8853,X_8853,X_8854),
inference(resolve,[$cnf( cong(X_8853,X_8854,X_8853,X_8854) )],[refute_0_448,refute_0_418]) ).
cnf(refute_0_450,plain,
perp(X_8856,X_8855,X_8855,X_8856),
inference(subst,[],[refute_0_449:[bind(X_8853,$fot(X_8855)),bind(X_8854,$fot(X_8856))]]) ).
cnf(refute_0_451,plain,
( ~ midp(M,X_8856,X_8856)
| cong(X_8856,M,X_8855,M) ),
inference(resolve,[$cnf( perp(X_8856,X_8855,X_8855,X_8856) )],[refute_0_450,refute_0_19]) ).
cnf(refute_0_452,plain,
midp(M,X_8856,X_8856),
inference(subst,[],[refute_0_445:[bind(X_5808,$fot(X_8856)),bind(X_5884,$fot(M))]]) ).
cnf(refute_0_453,plain,
cong(X_8856,M,X_8855,M),
inference(resolve,[$cnf( midp(M,X_8856,X_8856) )],[refute_0_452,refute_0_451]) ).
cnf(refute_0_454,plain,
cong(X_8875,X_8873,X_8874,X_8873),
inference(subst,[],[refute_0_453:[bind(M,$fot(X_8873)),bind(X_8855,$fot(X_8874)),bind(X_8856,$fot(X_8875))]]) ).
cnf(refute_0_455,plain,
cong(X_8875,X_8873,X_8873,X_8874),
inference(resolve,[$cnf( cong(X_8875,X_8873,X_8874,X_8873) )],[refute_0_454,refute_0_17]) ).
cnf(refute_0_456,plain,
cong(X_8878,X_8876,X_8876,X_8877),
inference(subst,[],[refute_0_455:[bind(X_8873,$fot(X_8876)),bind(X_8874,$fot(X_8877)),bind(X_8875,$fot(X_8878))]]) ).
cnf(refute_0_457,plain,
cong(X_8876,X_8877,X_8878,X_8876),
inference(resolve,[$cnf( cong(X_8878,X_8876,X_8876,X_8877) )],[refute_0_456,refute_0_16]) ).
cnf(refute_0_458,plain,
cong(X_8901,X_8902,X_8903,X_8901),
inference(subst,[],[refute_0_457:[bind(X_8876,$fot(X_8901)),bind(X_8877,$fot(X_8902)),bind(X_8878,$fot(X_8903))]]) ).
cnf(refute_0_459,plain,
cong(X_8901,X_8902,X_8901,X_8903),
inference(resolve,[$cnf( cong(X_8901,X_8902,X_8903,X_8901) )],[refute_0_458,refute_0_14]) ).
cnf(refute_0_460,plain,
cong(X_8904,X_8905,X_8904,X_8906),
inference(subst,[],[refute_0_459:[bind(X_8901,$fot(X_8904)),bind(X_8902,$fot(X_8905)),bind(X_8903,$fot(X_8906))]]) ).
cnf(refute_0_461,plain,
( ~ coll(X_8904,X_8905,X_8906)
| midp(X_8904,X_8905,X_8906) ),
inference(resolve,[$cnf( cong(X_8904,X_8905,X_8904,X_8906) )],[refute_0_460,refute_0_12]) ).
cnf(refute_0_462,plain,
coll(X_8904,X_8905,X_8906),
inference(subst,[],[refute_0_399:[bind(C,$fot(X_8904)),bind(X_3808,$fot(X_8906)),bind(X_3809,$fot(X_8905))]]) ).
cnf(refute_0_463,plain,
midp(X_8904,X_8905,X_8906),
inference(resolve,[$cnf( coll(X_8904,X_8905,X_8906) )],[refute_0_462,refute_0_461]) ).
cnf(refute_0_464,plain,
midp(E,A,B),
inference(subst,[],[refute_0_463:[bind(X_8904,$fot(E)),bind(X_8905,$fot(A)),bind(X_8906,$fot(B))]]) ).
cnf(refute_0_465,plain,
( ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(resolve,[$cnf( midp(E,A,B) )],[refute_0_464,refute_0_10]) ).
cnf(refute_0_466,plain,
midp(F,A,C),
inference(subst,[],[refute_0_463:[bind(X_8904,$fot(F)),bind(X_8905,$fot(A)),bind(X_8906,$fot(C))]]) ).
cnf(refute_0_467,plain,
para(E,F,B,C),
inference(resolve,[$cnf( midp(F,A,C) )],[refute_0_466,refute_0_465]) ).
cnf(refute_0_468,plain,
para(X_16556,X_16557,X_16554,X_16555),
inference(subst,[],[refute_0_467:[bind(B,$fot(X_16554)),bind(C,$fot(X_16555)),bind(E,$fot(X_16556)),bind(F,$fot(X_16557))]]) ).
cnf(refute_0_469,plain,
eqangle(X_16556,X_16557,P,Q,X_16554,X_16555,P,Q),
inference(resolve,[$cnf( para(X_16556,X_16557,X_16554,X_16555) )],[refute_0_468,refute_0_9]) ).
cnf(refute_0_470,plain,
eqangle(X_16562,X_16563,X_16558,X_16559,X_16560,X_16561,X_16558,X_16559),
inference(subst,[],[refute_0_469:[bind(P,$fot(X_16558)),bind(Q,$fot(X_16559)),bind(X_16554,$fot(X_16560)),bind(X_16555,$fot(X_16561)),bind(X_16556,$fot(X_16562)),bind(X_16557,$fot(X_16563))]]) ).
cnf(refute_0_471,plain,
eqangle(X_16562,X_16563,X_16560,X_16561,X_16558,X_16559,X_16558,X_16559),
inference(resolve,[$cnf( eqangle(X_16562,X_16563,X_16558,X_16559,X_16560,X_16561,X_16558,X_16559) )],[refute_0_470,refute_0_7]) ).
cnf(refute_0_472,plain,
eqangle(X_16568,X_16569,X_16566,X_16567,X_16564,X_16565,X_16564,X_16565),
inference(subst,[],[refute_0_471:[bind(X_16558,$fot(X_16564)),bind(X_16559,$fot(X_16565)),bind(X_16560,$fot(X_16566)),bind(X_16561,$fot(X_16567)),bind(X_16562,$fot(X_16568)),bind(X_16563,$fot(X_16569))]]) ).
cnf(refute_0_473,plain,
eqangle(X_16564,X_16565,X_16564,X_16565,X_16568,X_16569,X_16566,X_16567),
inference(resolve,[$cnf( eqangle(X_16568,X_16569,X_16566,X_16567,X_16564,X_16565,X_16564,X_16565) )],[refute_0_472,refute_0_5]) ).
cnf(refute_0_474,plain,
eqangle(X_16576,X_16577,X_16576,X_16577,X_16580,X_16581,X_16578,X_16579),
inference(subst,[],[refute_0_473:[bind(X_16564,$fot(X_16576)),bind(X_16565,$fot(X_16577)),bind(X_16566,$fot(X_16578)),bind(X_16567,$fot(X_16579)),bind(X_16568,$fot(X_16580)),bind(X_16569,$fot(X_16581))]]) ).
cnf(refute_0_475,plain,
eqangle(X_16577,X_16576,X_16576,X_16577,X_16580,X_16581,X_16578,X_16579),
inference(resolve,[$cnf( eqangle(X_16576,X_16577,X_16576,X_16577,X_16580,X_16581,X_16578,X_16579) )],[refute_0_474,refute_0_4]) ).
cnf(refute_0_476,plain,
eqangle(X_16583,X_16582,X_16582,X_16583,X_16586,X_16587,X_16584,X_16585),
inference(subst,[],[refute_0_475:[bind(X_16576,$fot(X_16582)),bind(X_16577,$fot(X_16583)),bind(X_16578,$fot(X_16584)),bind(X_16579,$fot(X_16585)),bind(X_16580,$fot(X_16586)),bind(X_16581,$fot(X_16587))]]) ).
cnf(refute_0_477,plain,
eqangle(X_16586,X_16587,X_16584,X_16585,X_16583,X_16582,X_16582,X_16583),
inference(resolve,[$cnf( eqangle(X_16583,X_16582,X_16582,X_16583,X_16586,X_16587,X_16584,X_16585) )],[refute_0_476,refute_0_2]) ).
cnf(refute_0_478,plain,
eqangle(X_24209,X_24210,X_24211,X_24212,X_24220,X_24219,X_24219,X_24220),
inference(subst,[],[refute_0_477:[bind(X_16582,$fot(X_24219)),bind(X_16583,$fot(X_24220)),bind(X_16584,$fot(X_24211)),bind(X_16585,$fot(X_24212)),bind(X_16586,$fot(X_24209)),bind(X_16587,$fot(X_24210))]]) ).
cnf(refute_0_479,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_83]) ).
cnf(refute_0_480,plain,
( ~ eqangle(X_24209,X_24210,X_24211,X_24212,X_24220,X_24219,X_24219,X_24220)
| ~ eqangle(X_24220,X_24219,X_24219,X_24220,X_24213,X_24214,X_24215,X_24216)
| eqangle(X_24209,X_24210,X_24211,X_24212,X_24213,X_24214,X_24215,X_24216) ),
inference(subst,[],[refute_0_479:[bind(A,$fot(X_24209)),bind(B,$fot(X_24210)),bind(C,$fot(X_24211)),bind(D,$fot(X_24212)),bind(E,$fot(X_24213)),bind(F,$fot(X_24214)),bind(G,$fot(X_24215)),bind(H,$fot(X_24216)),bind(P,$fot(X_24220)),bind(Q,$fot(X_24219)),bind(U,$fot(X_24219)),bind(V,$fot(X_24220))]]) ).
cnf(refute_0_481,plain,
( ~ eqangle(X_24220,X_24219,X_24219,X_24220,X_24213,X_24214,X_24215,X_24216)
| eqangle(X_24209,X_24210,X_24211,X_24212,X_24213,X_24214,X_24215,X_24216) ),
inference(resolve,[$cnf( eqangle(X_24209,X_24210,X_24211,X_24212,X_24220,X_24219,X_24219,X_24220) )],[refute_0_478,refute_0_480]) ).
cnf(refute_0_482,plain,
eqangle(X_24220,X_24219,X_24219,X_24220,X_24213,X_24214,X_24215,X_24216),
inference(subst,[],[refute_0_475:[bind(X_16576,$fot(X_24219)),bind(X_16577,$fot(X_24220)),bind(X_16578,$fot(X_24215)),bind(X_16579,$fot(X_24216)),bind(X_16580,$fot(X_24213)),bind(X_16581,$fot(X_24214))]]) ).
cnf(refute_0_483,plain,
eqangle(X_24209,X_24210,X_24211,X_24212,X_24213,X_24214,X_24215,X_24216),
inference(resolve,[$cnf( eqangle(X_24220,X_24219,X_24219,X_24220,X_24213,X_24214,X_24215,X_24216) )],[refute_0_482,refute_0_481]) ).
cnf(refute_0_484,plain,
eqangle(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_483:[bind(X_24209,$fot(skolemFOFtoCNF_F)),bind(X_24210,$fot(skolemFOFtoCNF_G)),bind(X_24211,$fot(skolemFOFtoCNF_G)),bind(X_24212,$fot(skolemFOFtoCNF_I)),bind(X_24213,$fot(skolemFOFtoCNF_I)),bind(X_24214,$fot(skolemFOFtoCNF_G)),bind(X_24215,$fot(skolemFOFtoCNF_G)),bind(X_24216,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_485,plain,
$false,
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_E) )],[refute_0_484,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO598+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 07:33:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 123.60/123.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 123.60/123.81
% 123.60/123.81 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 123.67/123.86
%------------------------------------------------------------------------------