TSTP Solution File: GEO649+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO649+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:28:03 EDT 2022
% Result : Theorem 102.88s 103.10s
% Output : CNFRefutation 102.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 115
% Number of leaves : 31
% Syntax : Number of formulae : 643 ( 291 unt; 0 def)
% Number of atoms : 1204 ( 0 equ)
% Maximal formula atoms : 14 ( 1 avg)
% Number of connectives : 1003 ( 442 ~; 437 |; 91 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-3 aty)
% Number of variables : 1258 ( 301 sgn 475 !; 28 ?)
% 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(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(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(exemplo6GDDFULLmoreE02210,conjecture,
! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,MIDPNT6,MIDPNT7,MIDPNT8] :
( ( circle(A,B,NWPNT1,NWPNT2)
& circle(A,B,C,NWPNT3)
& circle(A,B,D,NWPNT4)
& circle(A,B,E,NWPNT5)
& coll(F,C,E)
& coll(F,B,D)
& midp(MIDPNT6,E,F)
& perp(E,F,MIDPNT6,G)
& midp(MIDPNT7,E,B)
& perp(E,B,MIDPNT7,G)
& midp(MIDPNT8,F,B)
& perp(F,B,MIDPNT8,G)
& perp(F,G,F,H) )
=> para(H,F,C,D) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,MIDPNT6,MIDPNT7,MIDPNT8] :
( ( circle(A,B,NWPNT1,NWPNT2)
& circle(A,B,C,NWPNT3)
& circle(A,B,D,NWPNT4)
& circle(A,B,E,NWPNT5)
& coll(F,C,E)
& coll(F,B,D)
& midp(MIDPNT6,E,F)
& perp(E,F,MIDPNT6,G)
& midp(MIDPNT7,E,B)
& perp(E,B,MIDPNT7,G)
& midp(MIDPNT8,F,B)
& perp(F,B,MIDPNT8,G)
& perp(F,G,F,H) )
=> para(H,F,C,D) ),
inference(strip,[],[exemplo6GDDFULLmoreE02210]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,MIDPNT6,MIDPNT7,MIDPNT8] :
( ( circle(A,B,NWPNT1,NWPNT2)
& circle(A,B,C,NWPNT3)
& circle(A,B,D,NWPNT4)
& circle(A,B,E,NWPNT5)
& coll(F,C,E)
& coll(F,B,D)
& midp(MIDPNT6,E,F)
& perp(E,F,MIDPNT6,G)
& midp(MIDPNT7,E,B)
& perp(E,B,MIDPNT7,G)
& midp(MIDPNT8,F,B)
& perp(F,B,MIDPNT8,G)
& perp(F,G,F,H) )
=> para(H,F,C,D) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F,G,H,MIDPNT6,MIDPNT7,MIDPNT8,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5] :
( ~ para(H,F,C,D)
& circle(A,B,C,NWPNT3)
& circle(A,B,D,NWPNT4)
& circle(A,B,E,NWPNT5)
& circle(A,B,NWPNT1,NWPNT2)
& coll(F,B,D)
& coll(F,C,E)
& midp(MIDPNT6,E,F)
& midp(MIDPNT7,E,B)
& midp(MIDPNT8,F,B)
& perp(E,B,MIDPNT7,G)
& perp(E,F,MIDPNT6,G)
& perp(F,B,MIDPNT8,G)
& perp(F,G,F,H) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ para(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
& circle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_NWPNT3)
& circle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_NWPNT4)
& circle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_NWPNT5)
& circle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_NWPNT1,skolemFOFtoCNF_NWPNT2)
& coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
& coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
& midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_F)
& midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
& perp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_G)
& perp(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_G)
& perp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_G)
& perp(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_H) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ para(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,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_4,plain,
! [A,B,C,E,F] :
( ~ midp(E,A,B)
| ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_6,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_8,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_10,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,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_12,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,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_14,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_13]) ).
fof(normalize_0_15,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_16,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_15]) ).
fof(normalize_0_17,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_18,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_20,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_22,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,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_24,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_23]) ).
fof(normalize_0_25,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_26,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,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_28,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_27]) ).
fof(normalize_0_29,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_28]) ).
fof(normalize_0_30,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_31,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_33,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_35,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD39]) ).
fof(normalize_0_37,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_36]) ).
fof(normalize_0_38,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_37]) ).
fof(normalize_0_39,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_40,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_42,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_43,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_42]) ).
fof(normalize_0_44,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_45,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_44]) ).
fof(normalize_0_46,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_45]) ).
fof(normalize_0_47,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_48,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_47]) ).
fof(normalize_0_49,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_50,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_49]) ).
fof(normalize_0_51,plain,
midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_52,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_53,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_52]) ).
fof(normalize_0_54,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_55,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_54]) ).
fof(normalize_0_56,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_57,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_56]) ).
fof(normalize_0_58,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_59,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_58]) ).
fof(normalize_0_60,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_61,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_60]) ).
fof(normalize_0_62,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_63,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_62]) ).
fof(normalize_0_64,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(canonicalize,[],[ruleX11]) ).
fof(normalize_0_65,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(specialize,[],[normalize_0_64]) ).
fof(normalize_0_66,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(clausify,[],[normalize_0_65]) ).
fof(normalize_0_67,plain,
midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_F),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_68,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_69,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_68]) ).
fof(normalize_0_70,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_69]) ).
fof(normalize_0_71,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(conjunct,[],[normalize_0_70]) ).
fof(normalize_0_72,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_73,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_74,plain,
perp(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_H),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_75,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) ),
inference(conjunct,[],[normalize_0_70]) ).
fof(normalize_0_76,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_70]) ).
fof(normalize_0_77,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(B,skolemFOFtoCNF_Q_1(A,B,C),C,A) ),
inference(conjunct,[],[normalize_0_70]) ).
fof(normalize_0_78,plain,
circle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_NWPNT3),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
~ para(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ midp(E,A,B)
| ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ coll(X_5683,X_5684,X_5685)
| ~ cong(X_5683,X_5684,X_5683,X_5685)
| midp(X_5683,X_5684,X_5685) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5683)),bind(B,$fot(X_5684)),bind(C,$fot(X_5685))]]) ).
cnf(refute_0_4,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ cong(X_5678,X_5679,X_5680,X_5678)
| cong(X_5678,X_5679,X_5678,X_5680) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5678)),bind(B,$fot(X_5679)),bind(C,$fot(X_5680)),bind(D,$fot(X_5678))]]) ).
cnf(refute_0_6,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ cong(X_5655,X_5653,X_5653,X_5654)
| cong(X_5653,X_5654,X_5655,X_5653) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_5655)),bind(B,$fot(X_5653)),bind(C,$fot(X_5653)),bind(D,$fot(X_5654))]]) ).
cnf(refute_0_8,plain,
( ~ cong(X_5652,X_5650,X_5651,X_5650)
| cong(X_5652,X_5650,X_5650,X_5651) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5652)),bind(B,$fot(X_5650)),bind(C,$fot(X_5651)),bind(D,$fot(X_5650))]]) ).
cnf(refute_0_9,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ midp(M,X_5633,X_5633)
| ~ perp(X_5633,X_5632,X_5632,X_5633)
| cong(X_5633,M,X_5632,M) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_5633)),bind(B,$fot(X_5632)),bind(C,$fot(X_5633))]]) ).
cnf(refute_0_11,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_14]) ).
cnf(refute_0_12,plain,
( ~ cong(X_5630,X_5631,X_5630,X_5631)
| ~ cyclic(X_5630,X_5630,X_5631,X_5631)
| perp(X_5631,X_5630,X_5630,X_5631) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_5630)),bind(B,$fot(X_5630)),bind(P,$fot(X_5631)),bind(Q,$fot(X_5631))]]) ).
cnf(refute_0_13,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_14,plain,
( ~ cyclic(X_5628,X_5628,X_5628,X_5629)
| cyclic(X_5628,X_5628,X_5629,X_5629) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_5628)),bind(B,$fot(X_5628)),bind(C,$fot(X_5628)),bind(D,$fot(X_5629)),bind(E,$fot(X_5629))]]) ).
cnf(refute_0_15,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_16,plain,
( ~ cyclic(X_5626,X_5626,X_5627,X_5626)
| cyclic(X_5626,X_5626,X_5626,X_5627) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_5626)),bind(B,$fot(X_5626)),bind(C,$fot(X_5627)),bind(D,$fot(X_5626))]]) ).
cnf(refute_0_17,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_18,plain,
( ~ cyclic(X_5624,X_5625,X_5624,X_5624)
| cyclic(X_5624,X_5624,X_5625,X_5624) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_5624)),bind(B,$fot(X_5625)),bind(C,$fot(X_5624)),bind(D,$fot(X_5624))]]) ).
cnf(refute_0_19,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_20,plain,
( ~ cyclic(X_5623,X_5622,X_5622,X_5622)
| cyclic(X_5622,X_5623,X_5622,X_5622) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_5623)),bind(B,$fot(X_5622)),bind(C,$fot(X_5622)),bind(D,$fot(X_5622))]]) ).
cnf(refute_0_21,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_22,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_5621,X_5620),X_5621,skolemFOFtoCNF_P_1(X_5621,X_5620),X_5620)
| cyclic(X_5621,X_5620,X_5620,X_5620) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_5621)),bind(B,$fot(X_5620)),bind(C,$fot(X_5620)),bind(D,$fot(X_5620)),bind(O,$fot(skolemFOFtoCNF_P_1(X_5621,X_5620)))]]) ).
cnf(refute_0_23,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_24,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_4355,X_4354),X_4355,X_4354)
| cong(skolemFOFtoCNF_P_1(X_4355,X_4354),X_4355,skolemFOFtoCNF_P_1(X_4355,X_4354),X_4354) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P_1(X_4355,X_4354))),bind(B,$fot(X_4355)),bind(C,$fot(X_4354))]]) ).
cnf(refute_0_25,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_26,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_27,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_28,plain,
( ~ coll(X_577,X_577,X_576)
| coll(X_577,X_576,X_577) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_577)),bind(B,$fot(X_577)),bind(C,$fot(X_576))]]) ).
cnf(refute_0_29,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_30,plain,
( ~ coll(X_574,X_575,X_575)
| coll(X_575,X_575,X_574) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_574)),bind(B,$fot(X_575)),bind(C,$fot(X_575)),bind(D,$fot(X_575))]]) ).
cnf(refute_0_31,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_32,plain,
( ~ para(X_569,X_570,X_569,X_570)
| coll(X_569,X_570,X_570) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_569)),bind(B,$fot(X_570)),bind(C,$fot(X_570))]]) ).
cnf(refute_0_33,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_34,plain,
( ~ eqangle(X_567,X_568,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_567,X_568,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| para(X_567,X_568,X_567,X_568) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_567)),bind(B,$fot(X_568)),bind(C,$fot(X_567)),bind(D,$fot(X_568)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_35,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_36,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_35:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_37,plain,
( ~ cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_38,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_39,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F)
| cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT8)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_40,plain,
midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_41,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_42,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_41:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(M,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_43,plain,
midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) )],[refute_0_40,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_45,plain,
cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F) )],[refute_0_45,refute_0_39]) ).
cnf(refute_0_47,plain,
cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1) )],[refute_0_46,refute_0_38]) ).
cnf(refute_0_48,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_47,refute_0_37]) ).
cnf(refute_0_49,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_48,refute_0_36]) ).
cnf(refute_0_50,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_51,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_53,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154) ),
inference(subst,[],[refute_0_52:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(X_153)),bind(Q,$fot(X_154))]]) ).
cnf(refute_0_54,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_51,refute_0_53]) ).
cnf(refute_0_55,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_565,X_566,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_565,X_566),
inference(subst,[],[refute_0_54:[bind(X_153,$fot(X_565)),bind(X_154,$fot(X_566))]]) ).
cnf(refute_0_56,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_57,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_565,X_566,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_565,X_566)
| eqangle(X_565,X_566,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_565,X_566,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_56:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_565)),bind(D,$fot(X_566)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1)),bind(U,$fot(X_565)),bind(V,$fot(X_566))]]) ).
cnf(refute_0_58,plain,
eqangle(X_565,X_566,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_565,X_566,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_565,X_566,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_565,X_566) )],[refute_0_55,refute_0_57]) ).
cnf(refute_0_59,plain,
eqangle(X_567,X_568,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_567,X_568,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_58:[bind(X_565,$fot(X_567)),bind(X_566,$fot(X_568))]]) ).
cnf(refute_0_60,plain,
para(X_567,X_568,X_567,X_568),
inference(resolve,[$cnf( eqangle(X_567,X_568,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_567,X_568,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_59,refute_0_34]) ).
cnf(refute_0_61,plain,
para(X_569,X_570,X_569,X_570),
inference(subst,[],[refute_0_60:[bind(X_567,$fot(X_569)),bind(X_568,$fot(X_570))]]) ).
cnf(refute_0_62,plain,
coll(X_569,X_570,X_570),
inference(resolve,[$cnf( para(X_569,X_570,X_569,X_570) )],[refute_0_61,refute_0_32]) ).
cnf(refute_0_63,plain,
coll(X_574,X_575,X_575),
inference(subst,[],[refute_0_62:[bind(X_569,$fot(X_574)),bind(X_570,$fot(X_575))]]) ).
cnf(refute_0_64,plain,
coll(X_575,X_575,X_574),
inference(resolve,[$cnf( coll(X_574,X_575,X_575) )],[refute_0_63,refute_0_30]) ).
cnf(refute_0_65,plain,
coll(X_577,X_577,X_576),
inference(subst,[],[refute_0_64:[bind(X_574,$fot(X_576)),bind(X_575,$fot(X_577))]]) ).
cnf(refute_0_66,plain,
coll(X_577,X_576,X_577),
inference(resolve,[$cnf( coll(X_577,X_577,X_576) )],[refute_0_65,refute_0_28]) ).
cnf(refute_0_67,plain,
coll(D,D,D),
inference(subst,[],[refute_0_66:[bind(X_576,$fot(D)),bind(X_577,$fot(D))]]) ).
cnf(refute_0_68,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_67,refute_0_26]) ).
cnf(refute_0_69,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_3791,X_3791)
| midp(skolemFOFtoCNF_P_1(X_3791,Q),X_3791,Q) ),
inference(subst,[],[refute_0_68:[bind(D,$fot(X_3791)),bind(N,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_70,plain,
para(X_3733,X_3734,X_3733,X_3734),
inference(subst,[],[refute_0_60:[bind(X_567,$fot(X_3733)),bind(X_568,$fot(X_3734))]]) ).
cnf(refute_0_71,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_72,plain,
( ~ midp(X_3735,X_3733,X_3733)
| ~ para(X_3733,X_3734,X_3733,X_3734)
| midp(X_3735,X_3734,X_3734) ),
inference(subst,[],[refute_0_71:[bind(A,$fot(X_3733)),bind(B,$fot(X_3733)),bind(C,$fot(X_3734)),bind(D,$fot(X_3734)),bind(M,$fot(X_3735))]]) ).
cnf(refute_0_73,plain,
( ~ midp(X_3735,X_3733,X_3733)
| midp(X_3735,X_3734,X_3734) ),
inference(resolve,[$cnf( para(X_3733,X_3734,X_3733,X_3734) )],[refute_0_70,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7)
| midp(skolemFOFtoCNF_B_1,X_3734,X_3734) ),
inference(subst,[],[refute_0_73:[bind(X_3733,$fot(skolemFOFtoCNF_MIDPNT7)),bind(X_3735,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_75,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7)
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT7)),bind(C,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_76,plain,
midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_77,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_41:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(M,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_78,plain,
midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_80,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_81,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_82,plain,
( ~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_83,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_84,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1)
| circle(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_85,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_MIDPNT7)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_86,plain,
cong(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) )],[refute_0_76,refute_0_85]) ).
cnf(refute_0_87,plain,
circle(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1) )],[refute_0_86,refute_0_84]) ).
cnf(refute_0_88,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_89,plain,
( ~ coll(X_3717,skolemFOFtoCNF_MIDPNT8,C)
| ~ coll(X_3717,skolemFOFtoCNF_MIDPNT8,X_3718)
| coll(C,X_3718,X_3717) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3717)),bind(B,$fot(skolemFOFtoCNF_MIDPNT8)),bind(D,$fot(X_3718))]]) ).
cnf(refute_0_90,plain,
( ~ coll(X_3696,X_3697,skolemFOFtoCNF_MIDPNT8)
| coll(X_3696,skolemFOFtoCNF_MIDPNT8,X_3697) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_3696)),bind(B,$fot(X_3697)),bind(C,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_91,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,C)
| ~ coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,X_3552)
| coll(C,X_3552,skolemFOFtoCNF_MIDPNT8) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_3552))]]) ).
cnf(refute_0_92,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT8,X_3530,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,X_3530) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(X_3530)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_93,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_MIDPNT8) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_94,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_95,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_96,plain,
coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_43,refute_0_95]) ).
cnf(refute_0_97,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_MIDPNT8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_96,refute_0_93]) ).
cnf(refute_0_98,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3526)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_MIDPNT8)
| coll(skolemFOFtoCNF_MIDPNT8,X_3526,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_MIDPNT8)),bind(D,$fot(X_3526))]]) ).
cnf(refute_0_99,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3526)
| coll(skolemFOFtoCNF_MIDPNT8,X_3526,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_MIDPNT8) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3526),
inference(subst,[],[refute_0_64:[bind(X_574,$fot(X_3526)),bind(X_575,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_101,plain,
coll(skolemFOFtoCNF_MIDPNT8,X_3526,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3526) )],[refute_0_100,refute_0_99]) ).
cnf(refute_0_102,plain,
coll(skolemFOFtoCNF_MIDPNT8,X_3530,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_101:[bind(X_3526,$fot(X_3530))]]) ).
cnf(refute_0_103,plain,
coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,X_3530),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT8,X_3530,skolemFOFtoCNF_F) )],[refute_0_102,refute_0_92]) ).
cnf(refute_0_104,plain,
coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,X_3552),
inference(subst,[],[refute_0_103:[bind(X_3530,$fot(X_3552))]]) ).
cnf(refute_0_105,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,C)
| coll(C,X_3552,skolemFOFtoCNF_MIDPNT8) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,X_3552) )],[refute_0_104,refute_0_91]) ).
cnf(refute_0_106,plain,
coll(X_3524,X_3524,X_3525),
inference(subst,[],[refute_0_64:[bind(X_574,$fot(X_3525)),bind(X_575,$fot(X_3524))]]) ).
cnf(refute_0_107,plain,
( ~ coll(X_3524,X_3524,X_3525)
| ~ coll(X_3524,X_3524,X_3526)
| coll(X_3525,X_3526,X_3524) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3524)),bind(B,$fot(X_3524)),bind(C,$fot(X_3525)),bind(D,$fot(X_3526))]]) ).
cnf(refute_0_108,plain,
( ~ coll(X_3524,X_3524,X_3526)
| coll(X_3525,X_3526,X_3524) ),
inference(resolve,[$cnf( coll(X_3524,X_3524,X_3525) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
coll(X_3524,X_3524,X_3526),
inference(subst,[],[refute_0_64:[bind(X_574,$fot(X_3526)),bind(X_575,$fot(X_3524))]]) ).
cnf(refute_0_110,plain,
coll(X_3525,X_3526,X_3524),
inference(resolve,[$cnf( coll(X_3524,X_3524,X_3526) )],[refute_0_109,refute_0_108]) ).
cnf(refute_0_111,plain,
coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_110:[bind(X_3524,$fot(C)),bind(X_3525,$fot(skolemFOFtoCNF_MIDPNT8)),bind(X_3526,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_112,plain,
coll(C,X_3552,skolemFOFtoCNF_MIDPNT8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,C) )],[refute_0_111,refute_0_105]) ).
cnf(refute_0_113,plain,
coll(X_3696,X_3697,skolemFOFtoCNF_MIDPNT8),
inference(subst,[],[refute_0_112:[bind(C,$fot(X_3696)),bind(X_3552,$fot(X_3697))]]) ).
cnf(refute_0_114,plain,
coll(X_3696,skolemFOFtoCNF_MIDPNT8,X_3697),
inference(resolve,[$cnf( coll(X_3696,X_3697,skolemFOFtoCNF_MIDPNT8) )],[refute_0_113,refute_0_90]) ).
cnf(refute_0_115,plain,
coll(X_3717,skolemFOFtoCNF_MIDPNT8,X_3718),
inference(subst,[],[refute_0_114:[bind(X_3696,$fot(X_3717)),bind(X_3697,$fot(X_3718))]]) ).
cnf(refute_0_116,plain,
( ~ coll(X_3717,skolemFOFtoCNF_MIDPNT8,C)
| coll(C,X_3718,X_3717) ),
inference(resolve,[$cnf( coll(X_3717,skolemFOFtoCNF_MIDPNT8,X_3718) )],[refute_0_115,refute_0_89]) ).
cnf(refute_0_117,plain,
( ~ coll(X_3715,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),C)
| ~ coll(X_3715,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),X_3716)
| coll(C,X_3716,X_3715) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3715)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6))),bind(D,$fot(X_3716))]]) ).
cnf(refute_0_118,plain,
( ~ coll(X_3641,skolemFOFtoCNF_E,C)
| ~ coll(X_3641,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6))
| coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),X_3641) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3641)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)))]]) ).
cnf(refute_0_119,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),X_3632,C)
| ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),X_3632,skolemFOFtoCNF_E)
| coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6))),bind(B,$fot(X_3632)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_120,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)),skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6))),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)))),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_121,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_122,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)),skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6))),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_123,plain,
( ~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)
| perp(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)) ),
inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6))),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_124,plain,
( ~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E)
| perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6))),bind(C,$fot(skolemFOFtoCNF_MIDPNT6)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_125,plain,
( ~ perp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6))
| perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_MIDPNT6)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)))]]) ).
cnf(refute_0_126,plain,
( ~ perp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E)
| perp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_MIDPNT6)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6))),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_127,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E)
| perp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6))),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_MIDPNT6)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_128,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6))),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_129,plain,
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_130,plain,
( ~ circle(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_F)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6) ),
inference(subst,[],[refute_0_129:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_F)),bind(O,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_131,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_F)
| circle(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_F)),bind(O,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_132,plain,
midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_F),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_133,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_F)
| cong(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_MIDPNT6)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_134,plain,
cong(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_F),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_F) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
circle(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_F),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_F) )],[refute_0_134,refute_0_131]) ).
cnf(refute_0_136,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_F) )],[refute_0_135,refute_0_130]) ).
cnf(refute_0_137,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6) )],[refute_0_136,refute_0_128]) ).
cnf(refute_0_138,plain,
perp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E) )],[refute_0_137,refute_0_127]) ).
cnf(refute_0_139,plain,
perp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E) )],[refute_0_138,refute_0_126]) ).
cnf(refute_0_140,plain,
perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)) )],[refute_0_139,refute_0_125]) ).
cnf(refute_0_141,plain,
perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E) )],[refute_0_140,refute_0_124]) ).
cnf(refute_0_142,plain,
perp(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6) )],[refute_0_141,refute_0_123]) ).
cnf(refute_0_143,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_144,plain,
( ~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6))
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_143:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6))),bind(H,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_145,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)) )],[refute_0_142,refute_0_144]) ).
cnf(refute_0_146,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)),skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_E) )],[refute_0_145,refute_0_122]) ).
cnf(refute_0_147,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)),skolemFOFtoCNF_E) )],[refute_0_146,refute_0_120]) ).
cnf(refute_0_148,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3526)
| ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6))
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),X_3526,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6))),bind(D,$fot(X_3526))]]) ).
cnf(refute_0_149,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3526)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),X_3526,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3526),
inference(subst,[],[refute_0_64:[bind(X_574,$fot(X_3526)),bind(X_575,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_151,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),X_3526,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3526) )],[refute_0_150,refute_0_149]) ).
cnf(refute_0_152,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),X_3632,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_151:[bind(X_3526,$fot(X_3632))]]) ).
cnf(refute_0_153,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),X_3632,C)
| coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),X_3632,skolemFOFtoCNF_E) )],[refute_0_152,refute_0_119]) ).
cnf(refute_0_154,plain,
( ~ coll(X_3626,skolemFOFtoCNF_C_1,C)
| ~ coll(X_3626,skolemFOFtoCNF_C_1,X_3627)
| coll(C,X_3627,X_3626) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3626)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3627))]]) ).
cnf(refute_0_155,plain,
( ~ coll(X_3555,skolemFOFtoCNF_E,C)
| ~ coll(X_3555,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,X_3555) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3555)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_156,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_3538,C)
| ~ coll(skolemFOFtoCNF_C_1,X_3538,skolemFOFtoCNF_E)
| coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3538)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_157,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_158,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_159,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_161,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_E) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3526)
| ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_3526,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3526))]]) ).
cnf(refute_0_163,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3526)
| coll(skolemFOFtoCNF_C_1,X_3526,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
coll(skolemFOFtoCNF_C_1,X_3526,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3526) )],[refute_0_150,refute_0_163]) ).
cnf(refute_0_165,plain,
coll(skolemFOFtoCNF_C_1,X_3538,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_164:[bind(X_3526,$fot(X_3538))]]) ).
cnf(refute_0_166,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_3538,C)
| coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_3538,skolemFOFtoCNF_E) )],[refute_0_165,refute_0_156]) ).
cnf(refute_0_167,plain,
coll(skolemFOFtoCNF_C_1,X_3538,C),
inference(subst,[],[refute_0_110:[bind(X_3524,$fot(C)),bind(X_3525,$fot(skolemFOFtoCNF_C_1)),bind(X_3526,$fot(X_3538))]]) ).
cnf(refute_0_168,plain,
coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_3538,C) )],[refute_0_167,refute_0_166]) ).
cnf(refute_0_169,plain,
coll(X_3555,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_168:[bind(C,$fot(X_3555))]]) ).
cnf(refute_0_170,plain,
( ~ coll(X_3555,skolemFOFtoCNF_E,C)
| coll(C,skolemFOFtoCNF_C_1,X_3555) ),
inference(resolve,[$cnf( coll(X_3555,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_169,refute_0_155]) ).
cnf(refute_0_171,plain,
coll(X_3555,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_110:[bind(X_3524,$fot(C)),bind(X_3525,$fot(X_3555)),bind(X_3526,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_172,plain,
coll(C,skolemFOFtoCNF_C_1,X_3555),
inference(resolve,[$cnf( coll(X_3555,skolemFOFtoCNF_E,C) )],[refute_0_171,refute_0_170]) ).
cnf(refute_0_173,plain,
coll(X_3626,skolemFOFtoCNF_C_1,X_3627),
inference(subst,[],[refute_0_172:[bind(C,$fot(X_3626)),bind(X_3555,$fot(X_3627))]]) ).
cnf(refute_0_174,plain,
( ~ coll(X_3626,skolemFOFtoCNF_C_1,C)
| coll(C,X_3627,X_3626) ),
inference(resolve,[$cnf( coll(X_3626,skolemFOFtoCNF_C_1,X_3627) )],[refute_0_173,refute_0_154]) ).
cnf(refute_0_175,plain,
( ~ coll(X_3620,skolemFOFtoCNF_D,C)
| ~ coll(X_3620,skolemFOFtoCNF_D,X_3621)
| coll(C,X_3621,X_3620) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3620)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_3621))]]) ).
cnf(refute_0_176,plain,
( ~ coll(X_3550,skolemFOFtoCNF_F,C)
| ~ coll(X_3550,skolemFOFtoCNF_F,skolemFOFtoCNF_D)
| coll(C,skolemFOFtoCNF_D,X_3550) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3550)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_177,plain,
( ~ coll(skolemFOFtoCNF_D,X_3528,C)
| ~ coll(skolemFOFtoCNF_D,X_3528,skolemFOFtoCNF_F)
| coll(C,skolemFOFtoCNF_F,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_3528)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_178,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_179,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_180,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_181,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F) )],[refute_0_181,refute_0_178]) ).
cnf(refute_0_183,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3526)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,X_3526,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_3526))]]) ).
cnf(refute_0_184,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3526)
| coll(skolemFOFtoCNF_D,X_3526,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
coll(skolemFOFtoCNF_D,X_3526,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3526) )],[refute_0_100,refute_0_184]) ).
cnf(refute_0_186,plain,
coll(skolemFOFtoCNF_D,X_3528,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_185:[bind(X_3526,$fot(X_3528))]]) ).
cnf(refute_0_187,plain,
( ~ coll(skolemFOFtoCNF_D,X_3528,C)
| coll(C,skolemFOFtoCNF_F,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_3528,skolemFOFtoCNF_F) )],[refute_0_186,refute_0_177]) ).
cnf(refute_0_188,plain,
coll(skolemFOFtoCNF_D,X_3528,C),
inference(subst,[],[refute_0_110:[bind(X_3524,$fot(C)),bind(X_3525,$fot(skolemFOFtoCNF_D)),bind(X_3526,$fot(X_3528))]]) ).
cnf(refute_0_189,plain,
coll(C,skolemFOFtoCNF_F,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_3528,C) )],[refute_0_188,refute_0_187]) ).
cnf(refute_0_190,plain,
coll(X_3550,skolemFOFtoCNF_F,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_189:[bind(C,$fot(X_3550))]]) ).
cnf(refute_0_191,plain,
( ~ coll(X_3550,skolemFOFtoCNF_F,C)
| coll(C,skolemFOFtoCNF_D,X_3550) ),
inference(resolve,[$cnf( coll(X_3550,skolemFOFtoCNF_F,skolemFOFtoCNF_D) )],[refute_0_190,refute_0_176]) ).
cnf(refute_0_192,plain,
coll(X_3550,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_110:[bind(X_3524,$fot(C)),bind(X_3525,$fot(X_3550)),bind(X_3526,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_193,plain,
coll(C,skolemFOFtoCNF_D,X_3550),
inference(resolve,[$cnf( coll(X_3550,skolemFOFtoCNF_F,C) )],[refute_0_192,refute_0_191]) ).
cnf(refute_0_194,plain,
coll(X_3620,skolemFOFtoCNF_D,X_3621),
inference(subst,[],[refute_0_193:[bind(C,$fot(X_3620)),bind(X_3550,$fot(X_3621))]]) ).
cnf(refute_0_195,plain,
( ~ coll(X_3620,skolemFOFtoCNF_D,C)
| coll(C,X_3621,X_3620) ),
inference(resolve,[$cnf( coll(X_3620,skolemFOFtoCNF_D,X_3621) )],[refute_0_194,refute_0_175]) ).
cnf(refute_0_196,plain,
( ~ coll(X_3618,skolemFOFtoCNF_B_1,C)
| ~ coll(X_3618,skolemFOFtoCNF_B_1,X_3619)
| coll(C,X_3619,X_3618) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3618)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3619))]]) ).
cnf(refute_0_197,plain,
( ~ coll(X_3602,skolemFOFtoCNF_MIDPNT8,C)
| ~ coll(X_3602,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_3602) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3602)),bind(B,$fot(skolemFOFtoCNF_MIDPNT8)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_198,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT8,X_3600,skolemFOFtoCNF_B_1)
| coll(X_3600,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(X_3600)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_199,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_200,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_201,plain,
coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) )],[refute_0_40,refute_0_200]) ).
cnf(refute_0_202,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) )],[refute_0_201,refute_0_199]) ).
cnf(refute_0_203,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3526)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)
| coll(skolemFOFtoCNF_MIDPNT8,X_3526,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT8)),bind(D,$fot(X_3526))]]) ).
cnf(refute_0_204,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3526)
| coll(skolemFOFtoCNF_MIDPNT8,X_3526,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3526),
inference(subst,[],[refute_0_64:[bind(X_574,$fot(X_3526)),bind(X_575,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_206,plain,
coll(skolemFOFtoCNF_MIDPNT8,X_3526,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3526) )],[refute_0_205,refute_0_204]) ).
cnf(refute_0_207,plain,
coll(skolemFOFtoCNF_MIDPNT8,X_3600,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_206:[bind(X_3526,$fot(X_3600))]]) ).
cnf(refute_0_208,plain,
coll(X_3600,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT8,X_3600,skolemFOFtoCNF_B_1) )],[refute_0_207,refute_0_198]) ).
cnf(refute_0_209,plain,
coll(X_3602,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_208:[bind(X_3600,$fot(X_3602))]]) ).
cnf(refute_0_210,plain,
( ~ coll(X_3602,skolemFOFtoCNF_MIDPNT8,C)
| coll(C,skolemFOFtoCNF_B_1,X_3602) ),
inference(resolve,[$cnf( coll(X_3602,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1) )],[refute_0_209,refute_0_197]) ).
cnf(refute_0_211,plain,
coll(X_3602,skolemFOFtoCNF_MIDPNT8,C),
inference(subst,[],[refute_0_110:[bind(X_3524,$fot(C)),bind(X_3525,$fot(X_3602)),bind(X_3526,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_212,plain,
coll(C,skolemFOFtoCNF_B_1,X_3602),
inference(resolve,[$cnf( coll(X_3602,skolemFOFtoCNF_MIDPNT8,C) )],[refute_0_211,refute_0_210]) ).
cnf(refute_0_213,plain,
coll(X_3618,skolemFOFtoCNF_B_1,X_3619),
inference(subst,[],[refute_0_212:[bind(C,$fot(X_3618)),bind(X_3602,$fot(X_3619))]]) ).
cnf(refute_0_214,plain,
( ~ coll(X_3618,skolemFOFtoCNF_B_1,C)
| coll(C,X_3619,X_3618) ),
inference(resolve,[$cnf( coll(X_3618,skolemFOFtoCNF_B_1,X_3619) )],[refute_0_213,refute_0_196]) ).
cnf(refute_0_215,plain,
( ~ coll(X_3613,skolemFOFtoCNF_F,C)
| ~ coll(X_3613,skolemFOFtoCNF_F,X_3614)
| coll(C,X_3614,X_3613) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3613)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_3614))]]) ).
cnf(refute_0_216,plain,
( ~ coll(X_3569,skolemFOFtoCNF_H,C)
| ~ coll(X_3569,skolemFOFtoCNF_H,skolemFOFtoCNF_F)
| coll(C,skolemFOFtoCNF_F,X_3569) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3569)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_217,plain,
( ~ coll(skolemFOFtoCNF_H,X_3567,skolemFOFtoCNF_F)
| coll(X_3567,skolemFOFtoCNF_H,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(X_3567)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_218,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_219,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H),skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H))),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_220,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H),skolemFOFtoCNF_F,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H),skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H))),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_221,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H),skolemFOFtoCNF_H,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H),skolemFOFtoCNF_F,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H))),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_222,plain,
perp(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_H),
inference(canonicalize,[],[normalize_0_74]) ).
cnf(refute_0_223,plain,
( ~ perp(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H),skolemFOFtoCNF_H,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_143:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_H)),bind(H,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_224,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H),skolemFOFtoCNF_H,skolemFOFtoCNF_F),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_H) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H),skolemFOFtoCNF_F,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H),skolemFOFtoCNF_H,skolemFOFtoCNF_F) )],[refute_0_224,refute_0_221]) ).
cnf(refute_0_226,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H),skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H),skolemFOFtoCNF_F,skolemFOFtoCNF_H) )],[refute_0_225,refute_0_220]) ).
cnf(refute_0_227,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H),skolemFOFtoCNF_H) )],[refute_0_226,refute_0_219]) ).
cnf(refute_0_228,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_F) )],[refute_0_227,refute_0_218]) ).
cnf(refute_0_229,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3526)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,X_3526,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_3526))]]) ).
cnf(refute_0_230,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3526)
| coll(skolemFOFtoCNF_H,X_3526,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
coll(skolemFOFtoCNF_H,X_3526,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3526) )],[refute_0_100,refute_0_230]) ).
cnf(refute_0_232,plain,
coll(skolemFOFtoCNF_H,X_3567,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_231:[bind(X_3526,$fot(X_3567))]]) ).
cnf(refute_0_233,plain,
coll(X_3567,skolemFOFtoCNF_H,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,X_3567,skolemFOFtoCNF_F) )],[refute_0_232,refute_0_217]) ).
cnf(refute_0_234,plain,
coll(X_3569,skolemFOFtoCNF_H,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_233:[bind(X_3567,$fot(X_3569))]]) ).
cnf(refute_0_235,plain,
( ~ coll(X_3569,skolemFOFtoCNF_H,C)
| coll(C,skolemFOFtoCNF_F,X_3569) ),
inference(resolve,[$cnf( coll(X_3569,skolemFOFtoCNF_H,skolemFOFtoCNF_F) )],[refute_0_234,refute_0_216]) ).
cnf(refute_0_236,plain,
coll(X_3569,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_110:[bind(X_3524,$fot(C)),bind(X_3525,$fot(X_3569)),bind(X_3526,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_237,plain,
coll(C,skolemFOFtoCNF_F,X_3569),
inference(resolve,[$cnf( coll(X_3569,skolemFOFtoCNF_H,C) )],[refute_0_236,refute_0_235]) ).
cnf(refute_0_238,plain,
coll(X_3613,skolemFOFtoCNF_F,X_3614),
inference(subst,[],[refute_0_237:[bind(C,$fot(X_3613)),bind(X_3569,$fot(X_3614))]]) ).
cnf(refute_0_239,plain,
( ~ coll(X_3613,skolemFOFtoCNF_F,C)
| coll(C,X_3614,X_3613) ),
inference(resolve,[$cnf( coll(X_3613,skolemFOFtoCNF_F,X_3614) )],[refute_0_238,refute_0_215]) ).
cnf(refute_0_240,plain,
coll(X_3613,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_110:[bind(X_3524,$fot(C)),bind(X_3525,$fot(X_3613)),bind(X_3526,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_241,plain,
coll(C,X_3614,X_3613),
inference(resolve,[$cnf( coll(X_3613,skolemFOFtoCNF_F,C) )],[refute_0_240,refute_0_239]) ).
cnf(refute_0_242,plain,
coll(X_3618,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_241:[bind(C,$fot(X_3618)),bind(X_3613,$fot(C)),bind(X_3614,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_243,plain,
coll(C,X_3619,X_3618),
inference(resolve,[$cnf( coll(X_3618,skolemFOFtoCNF_B_1,C) )],[refute_0_242,refute_0_214]) ).
cnf(refute_0_244,plain,
coll(X_3620,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_243:[bind(C,$fot(X_3620)),bind(X_3618,$fot(C)),bind(X_3619,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_245,plain,
coll(C,X_3621,X_3620),
inference(resolve,[$cnf( coll(X_3620,skolemFOFtoCNF_D,C) )],[refute_0_244,refute_0_195]) ).
cnf(refute_0_246,plain,
coll(X_3626,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_245:[bind(C,$fot(X_3626)),bind(X_3620,$fot(C)),bind(X_3621,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_247,plain,
coll(C,X_3627,X_3626),
inference(resolve,[$cnf( coll(X_3626,skolemFOFtoCNF_C_1,C) )],[refute_0_246,refute_0_174]) ).
cnf(refute_0_248,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),X_3632,C),
inference(subst,[],[refute_0_247:[bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6))),bind(X_3626,$fot(C)),bind(X_3627,$fot(X_3632))]]) ).
cnf(refute_0_249,plain,
coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),X_3632,C) )],[refute_0_248,refute_0_153]) ).
cnf(refute_0_250,plain,
coll(X_3641,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)),
inference(subst,[],[refute_0_249:[bind(C,$fot(X_3641))]]) ).
cnf(refute_0_251,plain,
( ~ coll(X_3641,skolemFOFtoCNF_E,C)
| coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),X_3641) ),
inference(resolve,[$cnf( coll(X_3641,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)) )],[refute_0_250,refute_0_118]) ).
cnf(refute_0_252,plain,
coll(X_3641,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_247:[bind(C,$fot(X_3641)),bind(X_3626,$fot(C)),bind(X_3627,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_253,plain,
coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),X_3641),
inference(resolve,[$cnf( coll(X_3641,skolemFOFtoCNF_E,C) )],[refute_0_252,refute_0_251]) ).
cnf(refute_0_254,plain,
coll(X_3715,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),X_3716),
inference(subst,[],[refute_0_253:[bind(C,$fot(X_3715)),bind(X_3641,$fot(X_3716))]]) ).
cnf(refute_0_255,plain,
( ~ coll(X_3715,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),C)
| coll(C,X_3716,X_3715) ),
inference(resolve,[$cnf( coll(X_3715,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),X_3716) )],[refute_0_254,refute_0_117]) ).
cnf(refute_0_256,plain,
( ~ coll(X_3713,skolemFOFtoCNF_G,C)
| ~ coll(X_3713,skolemFOFtoCNF_G,X_3714)
| coll(C,X_3714,X_3713) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3713)),bind(B,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_3714))]]) ).
cnf(refute_0_257,plain,
( ~ coll(skolemFOFtoCNF_G,X_3711,X_3712)
| coll(X_3711,skolemFOFtoCNF_G,X_3712) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(X_3711)),bind(C,$fot(X_3712))]]) ).
cnf(refute_0_258,plain,
( ~ coll(X_3710,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),D)
| ~ coll(X_3710,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,D,X_3710) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3710)),bind(B,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G))),bind(C,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_259,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),X_3708,skolemFOFtoCNF_G)
| coll(X_3708,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G))),bind(B,$fot(X_3708)),bind(C,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_260,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_F,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G)) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G))),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_261,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_G,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_F,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G))),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_262,plain,
( ~ perp(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_H)
| perp(skolemFOFtoCNF_F,skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_263,plain,
perp(skolemFOFtoCNF_F,skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_G),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_H) )],[refute_0_222,refute_0_262]) ).
cnf(refute_0_264,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) ),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_265,plain,
( ~ perp(skolemFOFtoCNF_F,skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_G,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_264:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_G)),bind(H,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_266,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_G,skolemFOFtoCNF_F),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_F,skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_G) )],[refute_0_263,refute_0_265]) ).
cnf(refute_0_267,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_F,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_G,skolemFOFtoCNF_F) )],[refute_0_266,refute_0_261]) ).
cnf(refute_0_268,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_F,skolemFOFtoCNF_G) )],[refute_0_267,refute_0_260]) ).
cnf(refute_0_269,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_3526)
| ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G))
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),X_3526,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G))),bind(D,$fot(X_3526))]]) ).
cnf(refute_0_270,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_3526)
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),X_3526,skolemFOFtoCNF_G) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G)) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_3526),
inference(subst,[],[refute_0_64:[bind(X_574,$fot(X_3526)),bind(X_575,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_272,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),X_3526,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_3526) )],[refute_0_271,refute_0_270]) ).
cnf(refute_0_273,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),X_3708,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_272:[bind(X_3526,$fot(X_3708))]]) ).
cnf(refute_0_274,plain,
coll(X_3708,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),X_3708,skolemFOFtoCNF_G) )],[refute_0_273,refute_0_259]) ).
cnf(refute_0_275,plain,
coll(X_3710,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_G),
inference(subst,[],[refute_0_274:[bind(X_3708,$fot(X_3710))]]) ).
cnf(refute_0_276,plain,
( ~ coll(X_3710,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),D)
| coll(skolemFOFtoCNF_G,D,X_3710) ),
inference(resolve,[$cnf( coll(X_3710,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_G) )],[refute_0_275,refute_0_258]) ).
cnf(refute_0_277,plain,
( ~ coll(X_3690,skolemFOFtoCNF_A,C)
| ~ coll(X_3690,skolemFOFtoCNF_A,X_3691)
| coll(C,X_3691,X_3690) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3690)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3691))]]) ).
cnf(refute_0_278,plain,
( ~ coll(X_3585,skolemFOFtoCNF_B_1,C)
| ~ coll(X_3585,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,X_3585) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3585)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_279,plain,
( ~ coll(skolemFOFtoCNF_A,X_3558,C)
| ~ coll(skolemFOFtoCNF_A,X_3558,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3558)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_280,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A))),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_281,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_282,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A))),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_283,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_76]) ).
cnf(refute_0_284,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_283:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(H,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_285,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A))),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_286,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(B,skolemFOFtoCNF_Q_1(A,B,C),C,A) ),
inference(canonicalize,[],[normalize_0_77]) ).
cnf(refute_0_287,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_286:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(H,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_288,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A))),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_289,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A))
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_290,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A))),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_291,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_292,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_293,plain,
circle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_NWPNT3),
inference(canonicalize,[],[normalize_0_78]) ).
cnf(refute_0_294,plain,
( ~ circle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_NWPNT3)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_129:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_NWPNT3)),bind(O,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_295,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_NWPNT3) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_295,refute_0_292]) ).
cnf(refute_0_297,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_296,refute_0_291]) ).
cnf(refute_0_298,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1) )],[refute_0_297,refute_0_290]) ).
cnf(refute_0_299,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)) )],[refute_0_298,refute_0_289]) ).
cnf(refute_0_300,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_299,refute_0_288]) ).
cnf(refute_0_301,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_300,refute_0_287]) ).
cnf(refute_0_302,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_301,refute_0_285]) ).
cnf(refute_0_303,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_302,refute_0_284]) ).
cnf(refute_0_304,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_303,refute_0_282]) ).
cnf(refute_0_305,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_143:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(H,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_306,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_306,refute_0_281]) ).
cnf(refute_0_308,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1) )],[refute_0_307,refute_0_280]) ).
cnf(refute_0_309,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3526)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_3526,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3526))]]) ).
cnf(refute_0_310,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3526)
| coll(skolemFOFtoCNF_A,X_3526,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
coll(skolemFOFtoCNF_A,X_3526,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3526) )],[refute_0_205,refute_0_310]) ).
cnf(refute_0_312,plain,
coll(skolemFOFtoCNF_A,X_3558,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_311:[bind(X_3526,$fot(X_3558))]]) ).
cnf(refute_0_313,plain,
( ~ coll(skolemFOFtoCNF_A,X_3558,C)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3558,skolemFOFtoCNF_B_1) )],[refute_0_312,refute_0_279]) ).
cnf(refute_0_314,plain,
coll(skolemFOFtoCNF_A,X_3558,C),
inference(subst,[],[refute_0_110:[bind(X_3524,$fot(C)),bind(X_3525,$fot(skolemFOFtoCNF_A)),bind(X_3526,$fot(X_3558))]]) ).
cnf(refute_0_315,plain,
coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3558,C) )],[refute_0_314,refute_0_313]) ).
cnf(refute_0_316,plain,
coll(X_3585,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_315:[bind(C,$fot(X_3585))]]) ).
cnf(refute_0_317,plain,
( ~ coll(X_3585,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_A,X_3585) ),
inference(resolve,[$cnf( coll(X_3585,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_316,refute_0_278]) ).
cnf(refute_0_318,plain,
coll(X_3585,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_110:[bind(X_3524,$fot(C)),bind(X_3525,$fot(X_3585)),bind(X_3526,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_319,plain,
coll(C,skolemFOFtoCNF_A,X_3585),
inference(resolve,[$cnf( coll(X_3585,skolemFOFtoCNF_B_1,C) )],[refute_0_318,refute_0_317]) ).
cnf(refute_0_320,plain,
coll(X_3690,skolemFOFtoCNF_A,X_3691),
inference(subst,[],[refute_0_319:[bind(C,$fot(X_3690)),bind(X_3585,$fot(X_3691))]]) ).
cnf(refute_0_321,plain,
( ~ coll(X_3690,skolemFOFtoCNF_A,C)
| coll(C,X_3691,X_3690) ),
inference(resolve,[$cnf( coll(X_3690,skolemFOFtoCNF_A,X_3691) )],[refute_0_320,refute_0_277]) ).
cnf(refute_0_322,plain,
( ~ coll(X_3686,skolemFOFtoCNF_E,C)
| ~ coll(X_3686,skolemFOFtoCNF_E,X_3687)
| coll(C,X_3687,X_3686) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3686)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_3687))]]) ).
cnf(refute_0_323,plain,
( ~ coll(X_3583,skolemFOFtoCNF_F,C)
| ~ coll(X_3583,skolemFOFtoCNF_F,skolemFOFtoCNF_E)
| coll(C,skolemFOFtoCNF_E,X_3583) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3583)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_324,plain,
( ~ coll(skolemFOFtoCNF_E,X_3545,C)
| ~ coll(skolemFOFtoCNF_E,X_3545,skolemFOFtoCNF_F)
| coll(C,skolemFOFtoCNF_F,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(X_3545)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_325,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_326,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_327,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_157,refute_0_326]) ).
cnf(refute_0_328,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_F) )],[refute_0_327,refute_0_325]) ).
cnf(refute_0_329,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3526)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,X_3526,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_3526))]]) ).
cnf(refute_0_330,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3526)
| coll(skolemFOFtoCNF_E,X_3526,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_E) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
coll(skolemFOFtoCNF_E,X_3526,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3526) )],[refute_0_100,refute_0_330]) ).
cnf(refute_0_332,plain,
coll(skolemFOFtoCNF_E,X_3545,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_331:[bind(X_3526,$fot(X_3545))]]) ).
cnf(refute_0_333,plain,
( ~ coll(skolemFOFtoCNF_E,X_3545,C)
| coll(C,skolemFOFtoCNF_F,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,X_3545,skolemFOFtoCNF_F) )],[refute_0_332,refute_0_324]) ).
cnf(refute_0_334,plain,
coll(skolemFOFtoCNF_E,X_3545,C),
inference(subst,[],[refute_0_110:[bind(X_3524,$fot(C)),bind(X_3525,$fot(skolemFOFtoCNF_E)),bind(X_3526,$fot(X_3545))]]) ).
cnf(refute_0_335,plain,
coll(C,skolemFOFtoCNF_F,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,X_3545,C) )],[refute_0_334,refute_0_333]) ).
cnf(refute_0_336,plain,
coll(X_3583,skolemFOFtoCNF_F,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_335:[bind(C,$fot(X_3583))]]) ).
cnf(refute_0_337,plain,
( ~ coll(X_3583,skolemFOFtoCNF_F,C)
| coll(C,skolemFOFtoCNF_E,X_3583) ),
inference(resolve,[$cnf( coll(X_3583,skolemFOFtoCNF_F,skolemFOFtoCNF_E) )],[refute_0_336,refute_0_323]) ).
cnf(refute_0_338,plain,
coll(X_3583,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_110:[bind(X_3524,$fot(C)),bind(X_3525,$fot(X_3583)),bind(X_3526,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_339,plain,
coll(C,skolemFOFtoCNF_E,X_3583),
inference(resolve,[$cnf( coll(X_3583,skolemFOFtoCNF_F,C) )],[refute_0_338,refute_0_337]) ).
cnf(refute_0_340,plain,
coll(X_3686,skolemFOFtoCNF_E,X_3687),
inference(subst,[],[refute_0_339:[bind(C,$fot(X_3686)),bind(X_3583,$fot(X_3687))]]) ).
cnf(refute_0_341,plain,
( ~ coll(X_3686,skolemFOFtoCNF_E,C)
| coll(C,X_3687,X_3686) ),
inference(resolve,[$cnf( coll(X_3686,skolemFOFtoCNF_E,X_3687) )],[refute_0_340,refute_0_322]) ).
cnf(refute_0_342,plain,
( ~ coll(X_3676,skolemFOFtoCNF_MIDPNT7,C)
| ~ coll(X_3676,skolemFOFtoCNF_MIDPNT7,X_3677)
| coll(C,X_3677,X_3676) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3676)),bind(B,$fot(skolemFOFtoCNF_MIDPNT7)),bind(D,$fot(X_3677))]]) ).
cnf(refute_0_343,plain,
( ~ coll(X_3675,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),C)
| ~ coll(X_3675,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_MIDPNT7)
| coll(C,skolemFOFtoCNF_MIDPNT7,X_3675) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3675)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7))),bind(D,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_344,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),X_3674,skolemFOFtoCNF_MIDPNT7)
| coll(X_3674,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_MIDPNT7) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7))),bind(B,$fot(X_3674)),bind(C,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_345,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7)
| coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7)) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7))),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_MIDPNT7)),bind(D,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_346,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7))),bind(B,$fot(skolemFOFtoCNF_MIDPNT7)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_347,plain,
( ~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E)
| perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7))),bind(C,$fot(skolemFOFtoCNF_MIDPNT7)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_348,plain,
( ~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7)
| perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_283:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_MIDPNT7)),bind(H,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7)))]]) ).
cnf(refute_0_349,plain,
( ~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E)
| perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7))),bind(C,$fot(skolemFOFtoCNF_MIDPNT7)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_350,plain,
( ~ perp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7))
| perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_MIDPNT7)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7)))]]) ).
cnf(refute_0_351,plain,
( ~ perp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E)
| perp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7)) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_MIDPNT7)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7))),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_352,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E)
| perp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7))),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_MIDPNT7)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_353,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7))),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_354,plain,
( ~ circle(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7) ),
inference(subst,[],[refute_0_129:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_355,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_87,refute_0_354]) ).
cnf(refute_0_356,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7) )],[refute_0_355,refute_0_353]) ).
cnf(refute_0_357,plain,
perp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E) )],[refute_0_356,refute_0_352]) ).
cnf(refute_0_358,plain,
perp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E) )],[refute_0_357,refute_0_351]) ).
cnf(refute_0_359,plain,
perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7)) )],[refute_0_358,refute_0_350]) ).
cnf(refute_0_360,plain,
perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E) )],[refute_0_359,refute_0_349]) ).
cnf(refute_0_361,plain,
perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7) )],[refute_0_360,refute_0_348]) ).
cnf(refute_0_362,plain,
perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E) )],[refute_0_361,refute_0_347]) ).
cnf(refute_0_363,plain,
( ~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_143:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_MIDPNT7)),bind(H,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7)))]]) ).
cnf(refute_0_364,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E) )],[refute_0_364,refute_0_346]) ).
cnf(refute_0_366,plain,
coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7) )],[refute_0_365,refute_0_345]) ).
cnf(refute_0_367,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,X_3526)
| ~ coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7))
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),X_3526,skolemFOFtoCNF_MIDPNT7) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_MIDPNT7)),bind(B,$fot(skolemFOFtoCNF_MIDPNT7)),bind(C,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7))),bind(D,$fot(X_3526))]]) ).
cnf(refute_0_368,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,X_3526)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),X_3526,skolemFOFtoCNF_MIDPNT7) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7)) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,X_3526),
inference(subst,[],[refute_0_64:[bind(X_574,$fot(X_3526)),bind(X_575,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_370,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),X_3526,skolemFOFtoCNF_MIDPNT7),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,X_3526) )],[refute_0_369,refute_0_368]) ).
cnf(refute_0_371,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),X_3674,skolemFOFtoCNF_MIDPNT7),
inference(subst,[],[refute_0_370:[bind(X_3526,$fot(X_3674))]]) ).
cnf(refute_0_372,plain,
coll(X_3674,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_MIDPNT7),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),X_3674,skolemFOFtoCNF_MIDPNT7) )],[refute_0_371,refute_0_344]) ).
cnf(refute_0_373,plain,
coll(X_3675,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_MIDPNT7),
inference(subst,[],[refute_0_372:[bind(X_3674,$fot(X_3675))]]) ).
cnf(refute_0_374,plain,
( ~ coll(X_3675,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),C)
| coll(C,skolemFOFtoCNF_MIDPNT7,X_3675) ),
inference(resolve,[$cnf( coll(X_3675,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),skolemFOFtoCNF_MIDPNT7) )],[refute_0_373,refute_0_343]) ).
cnf(refute_0_375,plain,
( ~ coll(X_3669,skolemFOFtoCNF_H,C)
| ~ coll(X_3669,skolemFOFtoCNF_H,X_3670)
| coll(C,X_3670,X_3669) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3669)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_3670))]]) ).
cnf(refute_0_376,plain,
( ~ coll(X_3660,X_3661,skolemFOFtoCNF_H)
| coll(X_3660,skolemFOFtoCNF_H,X_3661) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_3660)),bind(B,$fot(X_3661)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_377,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,C)
| ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,X_3595)
| coll(C,X_3595,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_3595))]]) ).
cnf(refute_0_378,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_H,X_3580)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,X_3580) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(X_3580))]]) ).
cnf(refute_0_379,plain,
( ~ coll(skolemFOFtoCNF_F,X_3571,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_H,X_3571) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(X_3571)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_380,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_3526)
| ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,X_3526,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_3526))]]) ).
cnf(refute_0_381,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_3526)
| coll(skolemFOFtoCNF_F,X_3526,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_F) )],[refute_0_227,refute_0_380]) ).
cnf(refute_0_382,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_3526),
inference(subst,[],[refute_0_64:[bind(X_574,$fot(X_3526)),bind(X_575,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_383,plain,
coll(skolemFOFtoCNF_F,X_3526,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_3526) )],[refute_0_382,refute_0_381]) ).
cnf(refute_0_384,plain,
coll(skolemFOFtoCNF_F,X_3571,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_383:[bind(X_3526,$fot(X_3571))]]) ).
cnf(refute_0_385,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_H,X_3571),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,X_3571,skolemFOFtoCNF_H) )],[refute_0_384,refute_0_379]) ).
cnf(refute_0_386,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_H,X_3580),
inference(subst,[],[refute_0_385:[bind(X_3571,$fot(X_3580))]]) ).
cnf(refute_0_387,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,X_3580),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_H,X_3580) )],[refute_0_386,refute_0_378]) ).
cnf(refute_0_388,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,X_3595),
inference(subst,[],[refute_0_387:[bind(X_3580,$fot(X_3595))]]) ).
cnf(refute_0_389,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,C)
| coll(C,X_3595,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,X_3595) )],[refute_0_388,refute_0_377]) ).
cnf(refute_0_390,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_110:[bind(X_3524,$fot(C)),bind(X_3525,$fot(skolemFOFtoCNF_H)),bind(X_3526,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_391,plain,
coll(C,X_3595,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,C) )],[refute_0_390,refute_0_389]) ).
cnf(refute_0_392,plain,
coll(X_3660,X_3661,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_391:[bind(C,$fot(X_3660)),bind(X_3595,$fot(X_3661))]]) ).
cnf(refute_0_393,plain,
coll(X_3660,skolemFOFtoCNF_H,X_3661),
inference(resolve,[$cnf( coll(X_3660,X_3661,skolemFOFtoCNF_H) )],[refute_0_392,refute_0_376]) ).
cnf(refute_0_394,plain,
coll(X_3669,skolemFOFtoCNF_H,X_3670),
inference(subst,[],[refute_0_393:[bind(X_3660,$fot(X_3669)),bind(X_3661,$fot(X_3670))]]) ).
cnf(refute_0_395,plain,
( ~ coll(X_3669,skolemFOFtoCNF_H,C)
| coll(C,X_3670,X_3669) ),
inference(resolve,[$cnf( coll(X_3669,skolemFOFtoCNF_H,X_3670) )],[refute_0_394,refute_0_375]) ).
cnf(refute_0_396,plain,
( ~ coll(X_3666,skolemFOFtoCNF_MIDPNT6,C)
| ~ coll(X_3666,skolemFOFtoCNF_MIDPNT6,X_3667)
| coll(C,X_3667,X_3666) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3666)),bind(B,$fot(skolemFOFtoCNF_MIDPNT6)),bind(D,$fot(X_3667))]]) ).
cnf(refute_0_397,plain,
( ~ coll(X_3625,skolemFOFtoCNF_E,C)
| ~ coll(X_3625,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)
| coll(C,skolemFOFtoCNF_MIDPNT6,X_3625) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3625)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_398,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT6,X_3624,C)
| ~ coll(skolemFOFtoCNF_MIDPNT6,X_3624,skolemFOFtoCNF_E)
| coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_MIDPNT6)),bind(B,$fot(X_3624)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_399,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_F,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_MIDPNT6)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_400,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_F)
| midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_F,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_41:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_E)),bind(M,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_401,plain,
midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_F,skolemFOFtoCNF_E),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_E,skolemFOFtoCNF_F) )],[refute_0_132,refute_0_400]) ).
cnf(refute_0_402,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_F,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_F,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_MIDPNT6)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_403,plain,
coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_F,skolemFOFtoCNF_E),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_F,skolemFOFtoCNF_E) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_F,skolemFOFtoCNF_E) )],[refute_0_403,refute_0_399]) ).
cnf(refute_0_405,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3526)
| ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)
| coll(skolemFOFtoCNF_MIDPNT6,X_3526,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_MIDPNT6)),bind(D,$fot(X_3526))]]) ).
cnf(refute_0_406,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3526)
| coll(skolemFOFtoCNF_MIDPNT6,X_3526,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
coll(skolemFOFtoCNF_MIDPNT6,X_3526,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3526) )],[refute_0_150,refute_0_406]) ).
cnf(refute_0_408,plain,
coll(skolemFOFtoCNF_MIDPNT6,X_3624,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_407:[bind(X_3526,$fot(X_3624))]]) ).
cnf(refute_0_409,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT6,X_3624,C)
| coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT6,X_3624,skolemFOFtoCNF_E) )],[refute_0_408,refute_0_398]) ).
cnf(refute_0_410,plain,
coll(skolemFOFtoCNF_MIDPNT6,X_3624,C),
inference(subst,[],[refute_0_245:[bind(C,$fot(skolemFOFtoCNF_MIDPNT6)),bind(X_3620,$fot(C)),bind(X_3621,$fot(X_3624))]]) ).
cnf(refute_0_411,plain,
coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT6,X_3624,C) )],[refute_0_410,refute_0_409]) ).
cnf(refute_0_412,plain,
coll(X_3625,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),
inference(subst,[],[refute_0_411:[bind(C,$fot(X_3625))]]) ).
cnf(refute_0_413,plain,
( ~ coll(X_3625,skolemFOFtoCNF_E,C)
| coll(C,skolemFOFtoCNF_MIDPNT6,X_3625) ),
inference(resolve,[$cnf( coll(X_3625,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6) )],[refute_0_412,refute_0_397]) ).
cnf(refute_0_414,plain,
coll(X_3625,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_245:[bind(C,$fot(X_3625)),bind(X_3620,$fot(C)),bind(X_3621,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_415,plain,
coll(C,skolemFOFtoCNF_MIDPNT6,X_3625),
inference(resolve,[$cnf( coll(X_3625,skolemFOFtoCNF_E,C) )],[refute_0_414,refute_0_413]) ).
cnf(refute_0_416,plain,
coll(X_3666,skolemFOFtoCNF_MIDPNT6,X_3667),
inference(subst,[],[refute_0_415:[bind(C,$fot(X_3666)),bind(X_3625,$fot(X_3667))]]) ).
cnf(refute_0_417,plain,
( ~ coll(X_3666,skolemFOFtoCNF_MIDPNT6,C)
| coll(C,X_3667,X_3666) ),
inference(resolve,[$cnf( coll(X_3666,skolemFOFtoCNF_MIDPNT6,X_3667) )],[refute_0_416,refute_0_396]) ).
cnf(refute_0_418,plain,
coll(X_3666,skolemFOFtoCNF_MIDPNT6,C),
inference(subst,[],[refute_0_247:[bind(C,$fot(X_3666)),bind(X_3626,$fot(C)),bind(X_3627,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_419,plain,
coll(C,X_3667,X_3666),
inference(resolve,[$cnf( coll(X_3666,skolemFOFtoCNF_MIDPNT6,C) )],[refute_0_418,refute_0_417]) ).
cnf(refute_0_420,plain,
coll(X_3669,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_419:[bind(C,$fot(X_3669)),bind(X_3666,$fot(C)),bind(X_3667,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_421,plain,
coll(C,X_3670,X_3669),
inference(resolve,[$cnf( coll(X_3669,skolemFOFtoCNF_H,C) )],[refute_0_420,refute_0_395]) ).
cnf(refute_0_422,plain,
coll(X_3675,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),C),
inference(subst,[],[refute_0_421:[bind(C,$fot(X_3675)),bind(X_3669,$fot(C)),bind(X_3670,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7)))]]) ).
cnf(refute_0_423,plain,
coll(C,skolemFOFtoCNF_MIDPNT7,X_3675),
inference(resolve,[$cnf( coll(X_3675,skolemFOFtoCNF_P_3(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT7),C) )],[refute_0_422,refute_0_374]) ).
cnf(refute_0_424,plain,
coll(X_3676,skolemFOFtoCNF_MIDPNT7,X_3677),
inference(subst,[],[refute_0_423:[bind(C,$fot(X_3676)),bind(X_3675,$fot(X_3677))]]) ).
cnf(refute_0_425,plain,
( ~ coll(X_3676,skolemFOFtoCNF_MIDPNT7,C)
| coll(C,X_3677,X_3676) ),
inference(resolve,[$cnf( coll(X_3676,skolemFOFtoCNF_MIDPNT7,X_3677) )],[refute_0_424,refute_0_342]) ).
cnf(refute_0_426,plain,
coll(X_3676,skolemFOFtoCNF_MIDPNT7,C),
inference(subst,[],[refute_0_421:[bind(C,$fot(X_3676)),bind(X_3669,$fot(C)),bind(X_3670,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_427,plain,
coll(C,X_3677,X_3676),
inference(resolve,[$cnf( coll(X_3676,skolemFOFtoCNF_MIDPNT7,C) )],[refute_0_426,refute_0_425]) ).
cnf(refute_0_428,plain,
coll(X_3686,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_427:[bind(C,$fot(X_3686)),bind(X_3676,$fot(C)),bind(X_3677,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_429,plain,
coll(C,X_3687,X_3686),
inference(resolve,[$cnf( coll(X_3686,skolemFOFtoCNF_E,C) )],[refute_0_428,refute_0_341]) ).
cnf(refute_0_430,plain,
coll(X_3690,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_429:[bind(C,$fot(X_3690)),bind(X_3686,$fot(C)),bind(X_3687,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_431,plain,
coll(C,X_3691,X_3690),
inference(resolve,[$cnf( coll(X_3690,skolemFOFtoCNF_A,C) )],[refute_0_430,refute_0_321]) ).
cnf(refute_0_432,plain,
coll(X_3710,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),D),
inference(subst,[],[refute_0_431:[bind(C,$fot(X_3710)),bind(X_3690,$fot(D)),bind(X_3691,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G)))]]) ).
cnf(refute_0_433,plain,
coll(skolemFOFtoCNF_G,D,X_3710),
inference(resolve,[$cnf( coll(X_3710,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),D) )],[refute_0_432,refute_0_276]) ).
cnf(refute_0_434,plain,
coll(skolemFOFtoCNF_G,X_3711,X_3712),
inference(subst,[],[refute_0_433:[bind(D,$fot(X_3711)),bind(X_3710,$fot(X_3712))]]) ).
cnf(refute_0_435,plain,
coll(X_3711,skolemFOFtoCNF_G,X_3712),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,X_3711,X_3712) )],[refute_0_434,refute_0_257]) ).
cnf(refute_0_436,plain,
coll(X_3713,skolemFOFtoCNF_G,X_3714),
inference(subst,[],[refute_0_435:[bind(X_3711,$fot(X_3713)),bind(X_3712,$fot(X_3714))]]) ).
cnf(refute_0_437,plain,
( ~ coll(X_3713,skolemFOFtoCNF_G,C)
| coll(C,X_3714,X_3713) ),
inference(resolve,[$cnf( coll(X_3713,skolemFOFtoCNF_G,X_3714) )],[refute_0_436,refute_0_256]) ).
cnf(refute_0_438,plain,
coll(X_3713,skolemFOFtoCNF_G,C),
inference(subst,[],[refute_0_431:[bind(C,$fot(X_3713)),bind(X_3690,$fot(C)),bind(X_3691,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_439,plain,
coll(C,X_3714,X_3713),
inference(resolve,[$cnf( coll(X_3713,skolemFOFtoCNF_G,C) )],[refute_0_438,refute_0_437]) ).
cnf(refute_0_440,plain,
coll(X_3715,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),C),
inference(subst,[],[refute_0_439:[bind(C,$fot(X_3715)),bind(X_3713,$fot(C)),bind(X_3714,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6)))]]) ).
cnf(refute_0_441,plain,
coll(C,X_3716,X_3715),
inference(resolve,[$cnf( coll(X_3715,skolemFOFtoCNF_P_4(skolemFOFtoCNF_E,skolemFOFtoCNF_MIDPNT6),C) )],[refute_0_440,refute_0_255]) ).
cnf(refute_0_442,plain,
coll(X_3717,skolemFOFtoCNF_MIDPNT8,C),
inference(subst,[],[refute_0_441:[bind(C,$fot(X_3717)),bind(X_3715,$fot(C)),bind(X_3716,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_443,plain,
coll(C,X_3718,X_3717),
inference(resolve,[$cnf( coll(X_3717,skolemFOFtoCNF_MIDPNT8,C) )],[refute_0_442,refute_0_116]) ).
cnf(refute_0_444,plain,
coll(O,A,C),
inference(subst,[],[refute_0_443:[bind(C,$fot(O)),bind(X_3717,$fot(C)),bind(X_3718,$fot(A))]]) ).
cnf(refute_0_445,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_444,refute_0_88]) ).
cnf(refute_0_446,plain,
( ~ circle(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_445:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_447,plain,
perp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_87,refute_0_446]) ).
cnf(refute_0_448,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_447,refute_0_82]) ).
cnf(refute_0_449,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) )],[refute_0_448,refute_0_80]) ).
cnf(refute_0_450,plain,
( ~ midp(X_3787,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| cong(skolemFOFtoCNF_B_1,X_3787,skolemFOFtoCNF_B_1,X_3787) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_E)),bind(M,$fot(X_3787))]]) ).
cnf(refute_0_451,plain,
( ~ midp(X_3787,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| cong(skolemFOFtoCNF_B_1,X_3787,skolemFOFtoCNF_B_1,X_3787) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7) ),
inference(subst,[],[refute_0_451:[bind(X_3787,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_453,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_78,refute_0_452]) ).
cnf(refute_0_454,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7) )],[refute_0_453,refute_0_75]) ).
cnf(refute_0_455,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7),
inference(subst,[],[refute_0_443:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_3717,$fot(skolemFOFtoCNF_MIDPNT7)),bind(X_3718,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_456,plain,
midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7) )],[refute_0_455,refute_0_454]) ).
cnf(refute_0_457,plain,
midp(skolemFOFtoCNF_B_1,X_3734,X_3734),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7) )],[refute_0_456,refute_0_74]) ).
cnf(refute_0_458,plain,
midp(skolemFOFtoCNF_B_1,X_3791,X_3791),
inference(subst,[],[refute_0_457:[bind(X_3734,$fot(X_3791))]]) ).
cnf(refute_0_459,plain,
midp(skolemFOFtoCNF_P_1(X_3791,Q),X_3791,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_3791,X_3791) )],[refute_0_458,refute_0_69]) ).
cnf(refute_0_460,plain,
midp(skolemFOFtoCNF_P_1(X_4355,X_4354),X_4355,X_4354),
inference(subst,[],[refute_0_459:[bind(Q,$fot(X_4354)),bind(X_3791,$fot(X_4355))]]) ).
cnf(refute_0_461,plain,
cong(skolemFOFtoCNF_P_1(X_4355,X_4354),X_4355,skolemFOFtoCNF_P_1(X_4355,X_4354),X_4354),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_4355,X_4354),X_4355,X_4354) )],[refute_0_460,refute_0_24]) ).
cnf(refute_0_462,plain,
cong(skolemFOFtoCNF_P_1(X_5621,X_5620),X_5621,skolemFOFtoCNF_P_1(X_5621,X_5620),X_5620),
inference(subst,[],[refute_0_461:[bind(X_4354,$fot(X_5620)),bind(X_4355,$fot(X_5621))]]) ).
cnf(refute_0_463,plain,
cyclic(X_5621,X_5620,X_5620,X_5620),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_5621,X_5620),X_5621,skolemFOFtoCNF_P_1(X_5621,X_5620),X_5620) )],[refute_0_462,refute_0_22]) ).
cnf(refute_0_464,plain,
cyclic(X_5623,X_5622,X_5622,X_5622),
inference(subst,[],[refute_0_463:[bind(X_5620,$fot(X_5622)),bind(X_5621,$fot(X_5623))]]) ).
cnf(refute_0_465,plain,
cyclic(X_5622,X_5623,X_5622,X_5622),
inference(resolve,[$cnf( cyclic(X_5623,X_5622,X_5622,X_5622) )],[refute_0_464,refute_0_20]) ).
cnf(refute_0_466,plain,
cyclic(X_5624,X_5625,X_5624,X_5624),
inference(subst,[],[refute_0_465:[bind(X_5622,$fot(X_5624)),bind(X_5623,$fot(X_5625))]]) ).
cnf(refute_0_467,plain,
cyclic(X_5624,X_5624,X_5625,X_5624),
inference(resolve,[$cnf( cyclic(X_5624,X_5625,X_5624,X_5624) )],[refute_0_466,refute_0_18]) ).
cnf(refute_0_468,plain,
cyclic(X_5626,X_5626,X_5627,X_5626),
inference(subst,[],[refute_0_467:[bind(X_5624,$fot(X_5626)),bind(X_5625,$fot(X_5627))]]) ).
cnf(refute_0_469,plain,
cyclic(X_5626,X_5626,X_5626,X_5627),
inference(resolve,[$cnf( cyclic(X_5626,X_5626,X_5627,X_5626) )],[refute_0_468,refute_0_16]) ).
cnf(refute_0_470,plain,
cyclic(X_5628,X_5628,X_5628,X_5629),
inference(subst,[],[refute_0_469:[bind(X_5626,$fot(X_5628)),bind(X_5627,$fot(X_5629))]]) ).
cnf(refute_0_471,plain,
cyclic(X_5628,X_5628,X_5629,X_5629),
inference(resolve,[$cnf( cyclic(X_5628,X_5628,X_5628,X_5629) )],[refute_0_470,refute_0_14]) ).
cnf(refute_0_472,plain,
cyclic(X_5630,X_5630,X_5631,X_5631),
inference(subst,[],[refute_0_471:[bind(X_5628,$fot(X_5630)),bind(X_5629,$fot(X_5631))]]) ).
cnf(refute_0_473,plain,
( ~ cong(X_5630,X_5631,X_5630,X_5631)
| perp(X_5631,X_5630,X_5630,X_5631) ),
inference(resolve,[$cnf( cyclic(X_5630,X_5630,X_5631,X_5631) )],[refute_0_472,refute_0_12]) ).
cnf(refute_0_474,plain,
( ~ midp(X_3816,X_3815,X_3815)
| cong(X_3816,X_3815,X_3816,X_3815) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_3816)),bind(B,$fot(X_3815)),bind(C,$fot(X_3815))]]) ).
cnf(refute_0_475,plain,
( ~ midp(X_3814,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7)
| midp(X_3814,X_3734,X_3734) ),
inference(subst,[],[refute_0_73:[bind(X_3733,$fot(skolemFOFtoCNF_MIDPNT7)),bind(X_3735,$fot(X_3814))]]) ).
cnf(refute_0_476,plain,
( ~ coll(X_3813,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7)
| ~ cong(X_3813,skolemFOFtoCNF_MIDPNT7,X_3813,skolemFOFtoCNF_MIDPNT7)
| midp(X_3813,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_3813)),bind(B,$fot(skolemFOFtoCNF_MIDPNT7)),bind(C,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_477,plain,
( ~ cong(X_3811,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,X_3811)
| cong(X_3811,skolemFOFtoCNF_MIDPNT7,X_3811,skolemFOFtoCNF_MIDPNT7) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_3811)),bind(B,$fot(skolemFOFtoCNF_MIDPNT7)),bind(C,$fot(skolemFOFtoCNF_MIDPNT7)),bind(D,$fot(X_3811))]]) ).
cnf(refute_0_478,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT7,X_3808,X_3808,skolemFOFtoCNF_MIDPNT7)
| cong(X_3808,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,X_3808) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_MIDPNT7)),bind(B,$fot(X_3808)),bind(C,$fot(X_3808)),bind(D,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_479,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT7,X_3796,skolemFOFtoCNF_MIDPNT7,X_3796)
| cong(skolemFOFtoCNF_MIDPNT7,X_3796,X_3796,skolemFOFtoCNF_MIDPNT7) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_MIDPNT7)),bind(B,$fot(X_3796)),bind(C,$fot(skolemFOFtoCNF_MIDPNT7)),bind(D,$fot(X_3796))]]) ).
cnf(refute_0_480,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT7,X_3792,X_3792)
| cong(skolemFOFtoCNF_MIDPNT7,X_3792,skolemFOFtoCNF_MIDPNT7,X_3792) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_MIDPNT7)),bind(B,$fot(X_3792)),bind(C,$fot(X_3792))]]) ).
cnf(refute_0_481,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_MIDPNT7,X_3734,X_3734) ),
inference(subst,[],[refute_0_73:[bind(X_3733,$fot(skolemFOFtoCNF_B_1)),bind(X_3735,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_482,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_MIDPNT7)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_483,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7)
| cong(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_MIDPNT7)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_484,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT7)),bind(C,$fot(skolemFOFtoCNF_MIDPNT7)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_485,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT7)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_486,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7) )],[refute_0_453,refute_0_485]) ).
cnf(refute_0_487,plain,
cong(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1) )],[refute_0_486,refute_0_484]) ).
cnf(refute_0_488,plain,
cong(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7) )],[refute_0_487,refute_0_483]) ).
cnf(refute_0_489,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1) )],[refute_0_488,refute_0_482]) ).
cnf(refute_0_490,plain,
coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_443:[bind(C,$fot(skolemFOFtoCNF_MIDPNT7)),bind(X_3717,$fot(skolemFOFtoCNF_B_1)),bind(X_3718,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_491,plain,
midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_490,refute_0_489]) ).
cnf(refute_0_492,plain,
midp(skolemFOFtoCNF_MIDPNT7,X_3734,X_3734),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_491,refute_0_481]) ).
cnf(refute_0_493,plain,
midp(skolemFOFtoCNF_MIDPNT7,X_3792,X_3792),
inference(subst,[],[refute_0_492:[bind(X_3734,$fot(X_3792))]]) ).
cnf(refute_0_494,plain,
cong(skolemFOFtoCNF_MIDPNT7,X_3792,skolemFOFtoCNF_MIDPNT7,X_3792),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT7,X_3792,X_3792) )],[refute_0_493,refute_0_480]) ).
cnf(refute_0_495,plain,
cong(skolemFOFtoCNF_MIDPNT7,X_3796,skolemFOFtoCNF_MIDPNT7,X_3796),
inference(subst,[],[refute_0_494:[bind(X_3792,$fot(X_3796))]]) ).
cnf(refute_0_496,plain,
cong(skolemFOFtoCNF_MIDPNT7,X_3796,X_3796,skolemFOFtoCNF_MIDPNT7),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT7,X_3796,skolemFOFtoCNF_MIDPNT7,X_3796) )],[refute_0_495,refute_0_479]) ).
cnf(refute_0_497,plain,
cong(skolemFOFtoCNF_MIDPNT7,X_3808,X_3808,skolemFOFtoCNF_MIDPNT7),
inference(subst,[],[refute_0_496:[bind(X_3796,$fot(X_3808))]]) ).
cnf(refute_0_498,plain,
cong(X_3808,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,X_3808),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT7,X_3808,X_3808,skolemFOFtoCNF_MIDPNT7) )],[refute_0_497,refute_0_478]) ).
cnf(refute_0_499,plain,
cong(X_3811,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,X_3811),
inference(subst,[],[refute_0_498:[bind(X_3808,$fot(X_3811))]]) ).
cnf(refute_0_500,plain,
cong(X_3811,skolemFOFtoCNF_MIDPNT7,X_3811,skolemFOFtoCNF_MIDPNT7),
inference(resolve,[$cnf( cong(X_3811,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,X_3811) )],[refute_0_499,refute_0_477]) ).
cnf(refute_0_501,plain,
cong(X_3813,skolemFOFtoCNF_MIDPNT7,X_3813,skolemFOFtoCNF_MIDPNT7),
inference(subst,[],[refute_0_500:[bind(X_3811,$fot(X_3813))]]) ).
cnf(refute_0_502,plain,
( ~ coll(X_3813,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7)
| midp(X_3813,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7) ),
inference(resolve,[$cnf( cong(X_3813,skolemFOFtoCNF_MIDPNT7,X_3813,skolemFOFtoCNF_MIDPNT7) )],[refute_0_501,refute_0_476]) ).
cnf(refute_0_503,plain,
coll(X_3813,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7),
inference(subst,[],[refute_0_443:[bind(C,$fot(X_3813)),bind(X_3717,$fot(skolemFOFtoCNF_MIDPNT7)),bind(X_3718,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_504,plain,
midp(X_3813,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7),
inference(resolve,[$cnf( coll(X_3813,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7) )],[refute_0_503,refute_0_502]) ).
cnf(refute_0_505,plain,
midp(X_3814,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7),
inference(subst,[],[refute_0_504:[bind(X_3813,$fot(X_3814))]]) ).
cnf(refute_0_506,plain,
midp(X_3814,X_3734,X_3734),
inference(resolve,[$cnf( midp(X_3814,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7) )],[refute_0_505,refute_0_475]) ).
cnf(refute_0_507,plain,
midp(X_3816,X_3815,X_3815),
inference(subst,[],[refute_0_506:[bind(X_3734,$fot(X_3815)),bind(X_3814,$fot(X_3816))]]) ).
cnf(refute_0_508,plain,
cong(X_3816,X_3815,X_3816,X_3815),
inference(resolve,[$cnf( midp(X_3816,X_3815,X_3815) )],[refute_0_507,refute_0_474]) ).
cnf(refute_0_509,plain,
cong(X_5630,X_5631,X_5630,X_5631),
inference(subst,[],[refute_0_508:[bind(X_3815,$fot(X_5631)),bind(X_3816,$fot(X_5630))]]) ).
cnf(refute_0_510,plain,
perp(X_5631,X_5630,X_5630,X_5631),
inference(resolve,[$cnf( cong(X_5630,X_5631,X_5630,X_5631) )],[refute_0_509,refute_0_473]) ).
cnf(refute_0_511,plain,
perp(X_5633,X_5632,X_5632,X_5633),
inference(subst,[],[refute_0_510:[bind(X_5630,$fot(X_5632)),bind(X_5631,$fot(X_5633))]]) ).
cnf(refute_0_512,plain,
( ~ midp(M,X_5633,X_5633)
| cong(X_5633,M,X_5632,M) ),
inference(resolve,[$cnf( perp(X_5633,X_5632,X_5632,X_5633) )],[refute_0_511,refute_0_10]) ).
cnf(refute_0_513,plain,
midp(M,X_5633,X_5633),
inference(subst,[],[refute_0_506:[bind(X_3734,$fot(X_5633)),bind(X_3814,$fot(M))]]) ).
cnf(refute_0_514,plain,
cong(X_5633,M,X_5632,M),
inference(resolve,[$cnf( midp(M,X_5633,X_5633) )],[refute_0_513,refute_0_512]) ).
cnf(refute_0_515,plain,
cong(X_5652,X_5650,X_5651,X_5650),
inference(subst,[],[refute_0_514:[bind(M,$fot(X_5650)),bind(X_5632,$fot(X_5651)),bind(X_5633,$fot(X_5652))]]) ).
cnf(refute_0_516,plain,
cong(X_5652,X_5650,X_5650,X_5651),
inference(resolve,[$cnf( cong(X_5652,X_5650,X_5651,X_5650) )],[refute_0_515,refute_0_8]) ).
cnf(refute_0_517,plain,
cong(X_5655,X_5653,X_5653,X_5654),
inference(subst,[],[refute_0_516:[bind(X_5650,$fot(X_5653)),bind(X_5651,$fot(X_5654)),bind(X_5652,$fot(X_5655))]]) ).
cnf(refute_0_518,plain,
cong(X_5653,X_5654,X_5655,X_5653),
inference(resolve,[$cnf( cong(X_5655,X_5653,X_5653,X_5654) )],[refute_0_517,refute_0_7]) ).
cnf(refute_0_519,plain,
cong(X_5678,X_5679,X_5680,X_5678),
inference(subst,[],[refute_0_518:[bind(X_5653,$fot(X_5678)),bind(X_5654,$fot(X_5679)),bind(X_5655,$fot(X_5680))]]) ).
cnf(refute_0_520,plain,
cong(X_5678,X_5679,X_5678,X_5680),
inference(resolve,[$cnf( cong(X_5678,X_5679,X_5680,X_5678) )],[refute_0_519,refute_0_5]) ).
cnf(refute_0_521,plain,
cong(X_5683,X_5684,X_5683,X_5685),
inference(subst,[],[refute_0_520:[bind(X_5678,$fot(X_5683)),bind(X_5679,$fot(X_5684)),bind(X_5680,$fot(X_5685))]]) ).
cnf(refute_0_522,plain,
( ~ coll(X_5683,X_5684,X_5685)
| midp(X_5683,X_5684,X_5685) ),
inference(resolve,[$cnf( cong(X_5683,X_5684,X_5683,X_5685) )],[refute_0_521,refute_0_3]) ).
cnf(refute_0_523,plain,
coll(X_5683,X_5684,X_5685),
inference(subst,[],[refute_0_443:[bind(C,$fot(X_5683)),bind(X_3717,$fot(X_5685)),bind(X_3718,$fot(X_5684))]]) ).
cnf(refute_0_524,plain,
midp(X_5683,X_5684,X_5685),
inference(resolve,[$cnf( coll(X_5683,X_5684,X_5685) )],[refute_0_523,refute_0_522]) ).
cnf(refute_0_525,plain,
midp(E,A,B),
inference(subst,[],[refute_0_524:[bind(X_5683,$fot(E)),bind(X_5684,$fot(A)),bind(X_5685,$fot(B))]]) ).
cnf(refute_0_526,plain,
( ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(resolve,[$cnf( midp(E,A,B) )],[refute_0_525,refute_0_1]) ).
cnf(refute_0_527,plain,
midp(F,A,C),
inference(subst,[],[refute_0_524:[bind(X_5683,$fot(F)),bind(X_5684,$fot(A)),bind(X_5685,$fot(C))]]) ).
cnf(refute_0_528,plain,
para(E,F,B,C),
inference(resolve,[$cnf( midp(F,A,C) )],[refute_0_527,refute_0_526]) ).
cnf(refute_0_529,plain,
para(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_528:[bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_D)),bind(E,$fot(skolemFOFtoCNF_H)),bind(F,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_530,plain,
$false,
inference(resolve,[$cnf( para(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_529,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO649+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 05:08:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 102.88/103.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 102.88/103.10
% 102.88/103.10 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 102.97/103.14
%------------------------------------------------------------------------------