TSTP Solution File: GEO650+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO650+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 90.70s 90.87s
% Output : CNFRefutation 90.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 103
% Number of leaves : 32
% Syntax : Number of formulae : 489 ( 207 unt; 0 def)
% Number of atoms : 957 ( 0 equ)
% Maximal formula atoms : 13 ( 1 avg)
% Number of connectives : 819 ( 351 ~; 346 |; 88 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-3 aty)
% Number of variables : 1041 ( 167 sgn 465 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ) ).
fof(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(ruleX16,axiom,
! [A,B,C,D,M] :
? [P] :
( ( perp(A,B,A,C)
& perp(C,A,C,D)
& midp(M,B,D) )
=> midp(P,A,C) ) ).
fof(exemplo6GDDFULLmoreE02211,conjecture,
! [A,B,C,D,E,F,G,MIDPNT1,MIDPNT2,MIDPNT3] :
( ( midp(MIDPNT1,A,B)
& perp(A,B,MIDPNT1,D)
& midp(MIDPNT2,A,C)
& perp(A,C,MIDPNT2,D)
& midp(MIDPNT3,B,C)
& perp(B,C,MIDPNT3,D)
& perp(C,D,C,E)
& perp(B,D,B,E)
& perp(F,D,A,B)
& coll(F,A,B)
& coll(G,D,F)
& coll(G,A,C) )
=> para(G,E,A,B) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E,F,G,MIDPNT1,MIDPNT2,MIDPNT3] :
( ( midp(MIDPNT1,A,B)
& perp(A,B,MIDPNT1,D)
& midp(MIDPNT2,A,C)
& perp(A,C,MIDPNT2,D)
& midp(MIDPNT3,B,C)
& perp(B,C,MIDPNT3,D)
& perp(C,D,C,E)
& perp(B,D,B,E)
& perp(F,D,A,B)
& coll(F,A,B)
& coll(G,D,F)
& coll(G,A,C) )
=> para(G,E,A,B) ),
inference(strip,[],[exemplo6GDDFULLmoreE02211]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E,F,G,MIDPNT1,MIDPNT2,MIDPNT3] :
( ( midp(MIDPNT1,A,B)
& perp(A,B,MIDPNT1,D)
& midp(MIDPNT2,A,C)
& perp(A,C,MIDPNT2,D)
& midp(MIDPNT3,B,C)
& perp(B,C,MIDPNT3,D)
& perp(C,D,C,E)
& perp(B,D,B,E)
& perp(F,D,A,B)
& coll(F,A,B)
& coll(G,D,F)
& coll(G,A,C) )
=> para(G,E,A,B) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F,G,MIDPNT1,MIDPNT2,MIDPNT3] :
( ~ para(G,E,A,B)
& coll(F,A,B)
& coll(G,A,C)
& coll(G,D,F)
& midp(MIDPNT1,A,B)
& midp(MIDPNT2,A,C)
& midp(MIDPNT3,B,C)
& perp(A,B,MIDPNT1,D)
& perp(A,C,MIDPNT2,D)
& perp(B,C,MIDPNT3,D)
& perp(B,D,B,E)
& perp(C,D,C,E)
& perp(F,D,A,B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ para(skolemFOFtoCNF_G,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F)
& midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_D)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_D)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_D)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
& perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
& perp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ para(skolemFOFtoCNF_G,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
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,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_40,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_41,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_40]) ).
fof(normalize_0_42,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_43,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,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_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_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] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_61,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_60]) ).
fof(normalize_0_62,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(canonicalize,[],[ruleX11]) ).
fof(normalize_0_63,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(specialize,[],[normalize_0_62]) ).
fof(normalize_0_64,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(clausify,[],[normalize_0_63]) ).
fof(normalize_0_65,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_66,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_65]) ).
fof(normalize_0_67,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_66]) ).
fof(normalize_0_68,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_67]) ).
fof(normalize_0_69,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_70,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_69]) ).
fof(normalize_0_71,plain,
midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_72,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_73,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_74,plain,
! [A,B,C,D] :
( ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| ? [P] : midp(P,A,C)
| ! [M] : ~ midp(M,B,D) ),
inference(canonicalize,[],[ruleX16]) ).
fof(normalize_0_75,plain,
! [A,B,C,D] :
( ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| ? [P] : midp(P,A,C)
| ! [M] : ~ midp(M,B,D) ),
inference(specialize,[],[normalize_0_74]) ).
fof(normalize_0_76,plain,
! [A,B,C,D,M] :
( ~ midp(M,B,D)
| ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| midp(skolemFOFtoCNF_P_7(A,C),A,C) ),
inference(clausify,[],[normalize_0_75]) ).
cnf(refute_0_0,plain,
~ para(skolemFOFtoCNF_G,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
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_5260,X_5261,X_5262)
| ~ cong(X_5260,X_5261,X_5260,X_5262)
| midp(X_5260,X_5261,X_5262) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5260)),bind(B,$fot(X_5261)),bind(C,$fot(X_5262))]]) ).
cnf(refute_0_4,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ cong(X_5257,X_5258,X_5259,X_5257)
| cong(X_5257,X_5258,X_5257,X_5259) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5257)),bind(B,$fot(X_5258)),bind(C,$fot(X_5259)),bind(D,$fot(X_5257))]]) ).
cnf(refute_0_6,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ cong(X_5234,X_5232,X_5232,X_5233)
| cong(X_5232,X_5233,X_5234,X_5232) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_5234)),bind(B,$fot(X_5232)),bind(C,$fot(X_5232)),bind(D,$fot(X_5233))]]) ).
cnf(refute_0_8,plain,
( ~ cong(X_5231,X_5229,X_5230,X_5229)
| cong(X_5231,X_5229,X_5229,X_5230) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5231)),bind(B,$fot(X_5229)),bind(C,$fot(X_5230)),bind(D,$fot(X_5229))]]) ).
cnf(refute_0_9,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ midp(M,X_5212,X_5212)
| ~ perp(X_5212,X_5211,X_5211,X_5212)
| cong(X_5212,M,X_5211,M) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_5212)),bind(B,$fot(X_5211)),bind(C,$fot(X_5212))]]) ).
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_5209,X_5210,X_5209,X_5210)
| ~ cyclic(X_5209,X_5209,X_5210,X_5210)
| perp(X_5210,X_5209,X_5209,X_5210) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_5209)),bind(B,$fot(X_5209)),bind(P,$fot(X_5210)),bind(Q,$fot(X_5210))]]) ).
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_5207,X_5207,X_5207,X_5208)
| cyclic(X_5207,X_5207,X_5208,X_5208) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_5207)),bind(B,$fot(X_5207)),bind(C,$fot(X_5207)),bind(D,$fot(X_5208)),bind(E,$fot(X_5208))]]) ).
cnf(refute_0_15,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_16,plain,
( ~ cyclic(X_5205,X_5205,X_5206,X_5205)
| cyclic(X_5205,X_5205,X_5205,X_5206) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_5205)),bind(B,$fot(X_5205)),bind(C,$fot(X_5206)),bind(D,$fot(X_5205))]]) ).
cnf(refute_0_17,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_18,plain,
( ~ cyclic(X_5203,X_5204,X_5203,X_5203)
| cyclic(X_5203,X_5203,X_5204,X_5203) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_5203)),bind(B,$fot(X_5204)),bind(C,$fot(X_5203)),bind(D,$fot(X_5203))]]) ).
cnf(refute_0_19,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_20,plain,
( ~ cyclic(X_5202,X_5201,X_5201,X_5201)
| cyclic(X_5201,X_5202,X_5201,X_5201) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_5202)),bind(B,$fot(X_5201)),bind(C,$fot(X_5201)),bind(D,$fot(X_5201))]]) ).
cnf(refute_0_21,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_22,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_5200,X_5199),X_5200,skolemFOFtoCNF_P_1(X_5200,X_5199),X_5199)
| cyclic(X_5200,X_5199,X_5199,X_5199) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_5200)),bind(B,$fot(X_5199)),bind(C,$fot(X_5199)),bind(D,$fot(X_5199)),bind(O,$fot(skolemFOFtoCNF_P_1(X_5200,X_5199)))]]) ).
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_3913,X_3912),X_3913,X_3912)
| cong(skolemFOFtoCNF_P_1(X_3913,X_3912),X_3913,skolemFOFtoCNF_P_1(X_3913,X_3912),X_3912) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P_1(X_3913,X_3912))),bind(B,$fot(X_3913)),bind(C,$fot(X_3912))]]) ).
cnf(refute_0_25,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_26,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_27,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_28,plain,
( ~ coll(X_574,X_574,X_573)
| coll(X_574,X_573,X_574) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_574)),bind(B,$fot(X_574)),bind(C,$fot(X_573))]]) ).
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_571,X_572,X_572)
| coll(X_572,X_572,X_571) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_571)),bind(B,$fot(X_572)),bind(C,$fot(X_572)),bind(D,$fot(X_572))]]) ).
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,$fot(X_570))]]) ).
cnf(refute_0_33,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_34,plain,
( ~ eqangle(X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_567,X_568,X_567,X_568) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_567)),bind(B,$fot(X_568)),bind(C,$fot(X_567)),bind(D,$fot(X_568)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_35,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_36,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_37,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_38,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_39,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_40,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_37,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_42,plain,
cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_36]) ).
cnf(refute_0_44,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_43,refute_0_35]) ).
cnf(refute_0_45,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_46,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_45:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_47,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_44,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_49,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_51,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154) ),
inference(subst,[],[refute_0_50:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(X_153)),bind(Q,$fot(X_154))]]) ).
cnf(refute_0_52,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_49,refute_0_51]) ).
cnf(refute_0_53,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566),
inference(subst,[],[refute_0_52:[bind(X_153,$fot(X_565)),bind(X_154,$fot(X_566))]]) ).
cnf(refute_0_54,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_55,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566)
| eqangle(X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_54:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_565)),bind(D,$fot(X_566)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_565)),bind(V,$fot(X_566))]]) ).
cnf(refute_0_56,plain,
eqangle(X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566) )],[refute_0_53,refute_0_55]) ).
cnf(refute_0_57,plain,
eqangle(X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_56:[bind(X_565,$fot(X_567)),bind(X_566,$fot(X_568))]]) ).
cnf(refute_0_58,plain,
para(X_567,X_568,X_567,X_568),
inference(resolve,[$cnf( eqangle(X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_57,refute_0_34]) ).
cnf(refute_0_59,plain,
para(X_569,X_570,X_569,X_570),
inference(subst,[],[refute_0_58:[bind(X_567,$fot(X_569)),bind(X_568,$fot(X_570))]]) ).
cnf(refute_0_60,plain,
coll(X_569,X_570,X_570),
inference(resolve,[$cnf( para(X_569,X_570,X_569,X_570) )],[refute_0_59,refute_0_32]) ).
cnf(refute_0_61,plain,
coll(X_571,X_572,X_572),
inference(subst,[],[refute_0_60:[bind(X_569,$fot(X_571)),bind(X_570,$fot(X_572))]]) ).
cnf(refute_0_62,plain,
coll(X_572,X_572,X_571),
inference(resolve,[$cnf( coll(X_571,X_572,X_572) )],[refute_0_61,refute_0_30]) ).
cnf(refute_0_63,plain,
coll(X_574,X_574,X_573),
inference(subst,[],[refute_0_62:[bind(X_571,$fot(X_573)),bind(X_572,$fot(X_574))]]) ).
cnf(refute_0_64,plain,
coll(X_574,X_573,X_574),
inference(resolve,[$cnf( coll(X_574,X_574,X_573) )],[refute_0_63,refute_0_28]) ).
cnf(refute_0_65,plain,
coll(D,D,D),
inference(subst,[],[refute_0_64:[bind(X_573,$fot(D)),bind(X_574,$fot(D))]]) ).
cnf(refute_0_66,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_65,refute_0_26]) ).
cnf(refute_0_67,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT2,X_3729,X_3729)
| midp(skolemFOFtoCNF_P_1(X_3729,Q),X_3729,Q) ),
inference(subst,[],[refute_0_66:[bind(D,$fot(X_3729)),bind(N,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_68,plain,
para(X_3672,X_3673,X_3672,X_3673),
inference(subst,[],[refute_0_58:[bind(X_567,$fot(X_3672)),bind(X_568,$fot(X_3673))]]) ).
cnf(refute_0_69,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_70,plain,
( ~ midp(X_3674,X_3672,X_3672)
| ~ para(X_3672,X_3673,X_3672,X_3673)
| midp(X_3674,X_3673,X_3673) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(X_3672)),bind(B,$fot(X_3672)),bind(C,$fot(X_3673)),bind(D,$fot(X_3673)),bind(M,$fot(X_3674))]]) ).
cnf(refute_0_71,plain,
( ~ midp(X_3674,X_3672,X_3672)
| midp(X_3674,X_3673,X_3673) ),
inference(resolve,[$cnf( para(X_3672,X_3673,X_3672,X_3673) )],[refute_0_68,refute_0_70]) ).
cnf(refute_0_72,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_MIDPNT2,X_3673,X_3673) ),
inference(subst,[],[refute_0_71:[bind(X_3672,$fot(skolemFOFtoCNF_A)),bind(X_3674,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_73,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_74,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)
| cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_75,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_MIDPNT2)),bind(C,$fot(skolemFOFtoCNF_MIDPNT2)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_76,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_MIDPNT2)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_77,plain,
midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_78,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_79,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_80,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_81,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_82,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_83,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A)
| circle(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_82:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_84,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_85,plain,
midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_77,refute_0_84]) ).
cnf(refute_0_86,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_87,plain,
cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
circle(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A) )],[refute_0_87,refute_0_83]) ).
cnf(refute_0_89,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_90,plain,
( ~ coll(X_3658,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),C)
| ~ coll(X_3658,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),X_3659)
| coll(C,X_3659,X_3658) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3658)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2))),bind(D,$fot(X_3659))]]) ).
cnf(refute_0_91,plain,
( ~ coll(X_3652,skolemFOFtoCNF_A,C)
| ~ coll(X_3652,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2))
| coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),X_3652) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3652)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)))]]) ).
cnf(refute_0_92,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_93,plain,
( ~ coll(skolemFOFtoCNF_A,X_3650,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2))
| coll(X_3650,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3650)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)))]]) ).
cnf(refute_0_94,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2))
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2))),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)))]]) ).
cnf(refute_0_95,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)),skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2))),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)))),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_96,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2))),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_97,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_MIDPNT2)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2))),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_98,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_99,plain,
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_100,plain,
( ~ circle(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2) ),
inference(subst,[],[refute_0_99:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_101,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1)
| circle(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_82:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_102,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_103,plain,
cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_77,refute_0_102]) ).
cnf(refute_0_104,plain,
circle(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1) )],[refute_0_103,refute_0_101]) ).
cnf(refute_0_105,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_104,refute_0_100]) ).
cnf(refute_0_106,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2) )],[refute_0_105,refute_0_98]) ).
cnf(refute_0_107,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_A) )],[refute_0_106,refute_0_97]) ).
cnf(refute_0_108,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_109,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2))
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_108:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2))),bind(H,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_110,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)) )],[refute_0_107,refute_0_109]) ).
cnf(refute_0_111,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)),skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_A) )],[refute_0_110,refute_0_96]) ).
cnf(refute_0_112,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)),skolemFOFtoCNF_A) )],[refute_0_111,refute_0_95]) ).
cnf(refute_0_113,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)) )],[refute_0_112,refute_0_94]) ).
cnf(refute_0_114,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),X_3525)
| ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_3525,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2))),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3525))]]) ).
cnf(refute_0_115,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),X_3525)
| coll(skolemFOFtoCNF_A,X_3525,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_A) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),X_3525),
inference(subst,[],[refute_0_62:[bind(X_571,$fot(X_3525)),bind(X_572,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)))]]) ).
cnf(refute_0_117,plain,
coll(skolemFOFtoCNF_A,X_3525,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),X_3525) )],[refute_0_116,refute_0_115]) ).
cnf(refute_0_118,plain,
coll(skolemFOFtoCNF_A,X_3650,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)),
inference(subst,[],[refute_0_117:[bind(X_3525,$fot(X_3650))]]) ).
cnf(refute_0_119,plain,
coll(X_3650,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3650,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)) )],[refute_0_118,refute_0_93]) ).
cnf(refute_0_120,plain,
coll(X_3652,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)),
inference(subst,[],[refute_0_119:[bind(X_3650,$fot(X_3652))]]) ).
cnf(refute_0_121,plain,
( ~ coll(X_3652,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),X_3652) ),
inference(resolve,[$cnf( coll(X_3652,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)) )],[refute_0_120,refute_0_91]) ).
cnf(refute_0_122,plain,
( ~ coll(X_3636,skolemFOFtoCNF_MIDPNT1,C)
| ~ coll(X_3636,skolemFOFtoCNF_MIDPNT1,X_3637)
| coll(C,X_3637,X_3636) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3636)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(D,$fot(X_3637))]]) ).
cnf(refute_0_123,plain,
( ~ coll(X_3635,skolemFOFtoCNF_A,C)
| ~ coll(X_3635,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1)
| coll(C,skolemFOFtoCNF_MIDPNT1,X_3635) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3635)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_124,plain,
( ~ coll(skolemFOFtoCNF_A,X_3577,skolemFOFtoCNF_MIDPNT1)
| coll(X_3577,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3577)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_125,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1)
| coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_126,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_127,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_128,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_40,refute_0_127]) ).
cnf(refute_0_129,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_130,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) )],[refute_0_130,refute_0_125]) ).
cnf(refute_0_132,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_3525)
| ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_3525,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3525))]]) ).
cnf(refute_0_133,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_3525)
| coll(skolemFOFtoCNF_A,X_3525,skolemFOFtoCNF_MIDPNT1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_3525),
inference(subst,[],[refute_0_62:[bind(X_571,$fot(X_3525)),bind(X_572,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_135,plain,
coll(skolemFOFtoCNF_A,X_3525,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_3525) )],[refute_0_134,refute_0_133]) ).
cnf(refute_0_136,plain,
coll(skolemFOFtoCNF_A,X_3577,skolemFOFtoCNF_MIDPNT1),
inference(subst,[],[refute_0_135:[bind(X_3525,$fot(X_3577))]]) ).
cnf(refute_0_137,plain,
coll(X_3577,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3577,skolemFOFtoCNF_MIDPNT1) )],[refute_0_136,refute_0_124]) ).
cnf(refute_0_138,plain,
coll(X_3635,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1),
inference(subst,[],[refute_0_137:[bind(X_3577,$fot(X_3635))]]) ).
cnf(refute_0_139,plain,
( ~ coll(X_3635,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_MIDPNT1,X_3635) ),
inference(resolve,[$cnf( coll(X_3635,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) )],[refute_0_138,refute_0_123]) ).
cnf(refute_0_140,plain,
( ~ coll(X_3612,skolemFOFtoCNF_B_1,C)
| ~ coll(X_3612,skolemFOFtoCNF_B_1,X_3613)
| coll(C,X_3613,X_3612) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3612)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3613))]]) ).
cnf(refute_0_141,plain,
( ~ coll(X_3590,skolemFOFtoCNF_MIDPNT3,C)
| ~ coll(X_3590,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_3590) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3590)),bind(B,$fot(skolemFOFtoCNF_MIDPNT3)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_142,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_3551,C)
| ~ coll(skolemFOFtoCNF_B_1,X_3551,skolemFOFtoCNF_MIDPNT3)
| coll(C,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_3551)),bind(D,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_143,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)
| coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT3)),bind(D,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_144,plain,
midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_145,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_146,plain,
midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_148,plain,
coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_150,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3) )],[refute_0_150,refute_0_143]) ).
cnf(refute_0_152,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,X_3525)
| ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_3525,skolemFOFtoCNF_MIDPNT3) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_MIDPNT3)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3525))]]) ).
cnf(refute_0_153,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,X_3525)
| coll(skolemFOFtoCNF_B_1,X_3525,skolemFOFtoCNF_MIDPNT3) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,X_3525),
inference(subst,[],[refute_0_62:[bind(X_571,$fot(X_3525)),bind(X_572,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_155,plain,
coll(skolemFOFtoCNF_B_1,X_3525,skolemFOFtoCNF_MIDPNT3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,X_3525) )],[refute_0_154,refute_0_153]) ).
cnf(refute_0_156,plain,
coll(skolemFOFtoCNF_B_1,X_3551,skolemFOFtoCNF_MIDPNT3),
inference(subst,[],[refute_0_155:[bind(X_3525,$fot(X_3551))]]) ).
cnf(refute_0_157,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_3551,C)
| coll(C,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_3551,skolemFOFtoCNF_MIDPNT3) )],[refute_0_156,refute_0_142]) ).
cnf(refute_0_158,plain,
coll(X_3523,X_3523,X_3524),
inference(subst,[],[refute_0_62:[bind(X_571,$fot(X_3524)),bind(X_572,$fot(X_3523))]]) ).
cnf(refute_0_159,plain,
( ~ coll(X_3523,X_3523,X_3524)
| ~ coll(X_3523,X_3523,X_3525)
| coll(X_3524,X_3525,X_3523) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3523)),bind(B,$fot(X_3523)),bind(C,$fot(X_3524)),bind(D,$fot(X_3525))]]) ).
cnf(refute_0_160,plain,
( ~ coll(X_3523,X_3523,X_3525)
| coll(X_3524,X_3525,X_3523) ),
inference(resolve,[$cnf( coll(X_3523,X_3523,X_3524) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
coll(X_3523,X_3523,X_3525),
inference(subst,[],[refute_0_62:[bind(X_571,$fot(X_3525)),bind(X_572,$fot(X_3523))]]) ).
cnf(refute_0_162,plain,
coll(X_3524,X_3525,X_3523),
inference(resolve,[$cnf( coll(X_3523,X_3523,X_3525) )],[refute_0_161,refute_0_160]) ).
cnf(refute_0_163,plain,
coll(skolemFOFtoCNF_B_1,X_3551,C),
inference(subst,[],[refute_0_162:[bind(X_3523,$fot(C)),bind(X_3524,$fot(skolemFOFtoCNF_B_1)),bind(X_3525,$fot(X_3551))]]) ).
cnf(refute_0_164,plain,
coll(C,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_3551,C) )],[refute_0_163,refute_0_157]) ).
cnf(refute_0_165,plain,
coll(X_3590,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_164:[bind(C,$fot(X_3590))]]) ).
cnf(refute_0_166,plain,
( ~ coll(X_3590,skolemFOFtoCNF_MIDPNT3,C)
| coll(C,skolemFOFtoCNF_B_1,X_3590) ),
inference(resolve,[$cnf( coll(X_3590,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) )],[refute_0_165,refute_0_141]) ).
cnf(refute_0_167,plain,
coll(X_3590,skolemFOFtoCNF_MIDPNT3,C),
inference(subst,[],[refute_0_162:[bind(X_3523,$fot(C)),bind(X_3524,$fot(X_3590)),bind(X_3525,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_168,plain,
coll(C,skolemFOFtoCNF_B_1,X_3590),
inference(resolve,[$cnf( coll(X_3590,skolemFOFtoCNF_MIDPNT3,C) )],[refute_0_167,refute_0_166]) ).
cnf(refute_0_169,plain,
coll(X_3612,skolemFOFtoCNF_B_1,X_3613),
inference(subst,[],[refute_0_168:[bind(C,$fot(X_3612)),bind(X_3590,$fot(X_3613))]]) ).
cnf(refute_0_170,plain,
( ~ coll(X_3612,skolemFOFtoCNF_B_1,C)
| coll(C,X_3613,X_3612) ),
inference(resolve,[$cnf( coll(X_3612,skolemFOFtoCNF_B_1,X_3613) )],[refute_0_169,refute_0_140]) ).
cnf(refute_0_171,plain,
( ~ coll(X_3606,skolemFOFtoCNF_D,C)
| ~ coll(X_3606,skolemFOFtoCNF_D,X_3607)
| coll(C,X_3607,X_3606) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3606)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_3607))]]) ).
cnf(refute_0_172,plain,
( ~ coll(X_3596,X_3597,skolemFOFtoCNF_D)
| coll(X_3596,skolemFOFtoCNF_D,X_3597) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_3596)),bind(B,$fot(X_3597)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_173,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,C)
| ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,X_3586)
| coll(C,X_3586,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_3586))]]) ).
cnf(refute_0_174,plain,
( ~ coll(skolemFOFtoCNF_D,X_3529,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,X_3529) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_3529)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_175,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_176,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_177,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_178,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_F) )],[refute_0_178,refute_0_175]) ).
cnf(refute_0_180,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3525)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,X_3525,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_3525))]]) ).
cnf(refute_0_181,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3525)
| coll(skolemFOFtoCNF_D,X_3525,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3525),
inference(subst,[],[refute_0_62:[bind(X_571,$fot(X_3525)),bind(X_572,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_183,plain,
coll(skolemFOFtoCNF_D,X_3525,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3525) )],[refute_0_182,refute_0_181]) ).
cnf(refute_0_184,plain,
coll(skolemFOFtoCNF_D,X_3529,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_183:[bind(X_3525,$fot(X_3529))]]) ).
cnf(refute_0_185,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,X_3529),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_3529,skolemFOFtoCNF_F) )],[refute_0_184,refute_0_174]) ).
cnf(refute_0_186,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,X_3586),
inference(subst,[],[refute_0_185:[bind(X_3529,$fot(X_3586))]]) ).
cnf(refute_0_187,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,C)
| coll(C,X_3586,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,X_3586) )],[refute_0_186,refute_0_173]) ).
cnf(refute_0_188,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_162:[bind(X_3523,$fot(C)),bind(X_3524,$fot(skolemFOFtoCNF_D)),bind(X_3525,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_189,plain,
coll(C,X_3586,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,C) )],[refute_0_188,refute_0_187]) ).
cnf(refute_0_190,plain,
coll(X_3596,X_3597,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_189:[bind(C,$fot(X_3596)),bind(X_3586,$fot(X_3597))]]) ).
cnf(refute_0_191,plain,
coll(X_3596,skolemFOFtoCNF_D,X_3597),
inference(resolve,[$cnf( coll(X_3596,X_3597,skolemFOFtoCNF_D) )],[refute_0_190,refute_0_172]) ).
cnf(refute_0_192,plain,
coll(X_3606,skolemFOFtoCNF_D,X_3607),
inference(subst,[],[refute_0_191:[bind(X_3596,$fot(X_3606)),bind(X_3597,$fot(X_3607))]]) ).
cnf(refute_0_193,plain,
( ~ coll(X_3606,skolemFOFtoCNF_D,C)
| coll(C,X_3607,X_3606) ),
inference(resolve,[$cnf( coll(X_3606,skolemFOFtoCNF_D,X_3607) )],[refute_0_192,refute_0_171]) ).
cnf(refute_0_194,plain,
( ~ coll(X_3591,skolemFOFtoCNF_F,C)
| ~ coll(X_3591,skolemFOFtoCNF_F,X_3592)
| coll(C,X_3592,X_3591) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3591)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_3592))]]) ).
cnf(refute_0_195,plain,
( ~ coll(X_3553,skolemFOFtoCNF_B_1,C)
| ~ coll(X_3553,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| coll(C,skolemFOFtoCNF_F,X_3553) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3553)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_196,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_3548,skolemFOFtoCNF_F)
| coll(X_3548,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_3548)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_197,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_198,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_199,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_200,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_200,refute_0_197]) ).
cnf(refute_0_202,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3525)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_3525,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3525))]]) ).
cnf(refute_0_203,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3525)
| coll(skolemFOFtoCNF_B_1,X_3525,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
coll(skolemFOFtoCNF_B_1,X_3525,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3525) )],[refute_0_182,refute_0_203]) ).
cnf(refute_0_205,plain,
coll(skolemFOFtoCNF_B_1,X_3548,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_204:[bind(X_3525,$fot(X_3548))]]) ).
cnf(refute_0_206,plain,
coll(X_3548,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_3548,skolemFOFtoCNF_F) )],[refute_0_205,refute_0_196]) ).
cnf(refute_0_207,plain,
coll(X_3553,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_206:[bind(X_3548,$fot(X_3553))]]) ).
cnf(refute_0_208,plain,
( ~ coll(X_3553,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_F,X_3553) ),
inference(resolve,[$cnf( coll(X_3553,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_207,refute_0_195]) ).
cnf(refute_0_209,plain,
coll(X_3553,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_162:[bind(X_3523,$fot(C)),bind(X_3524,$fot(X_3553)),bind(X_3525,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_210,plain,
coll(C,skolemFOFtoCNF_F,X_3553),
inference(resolve,[$cnf( coll(X_3553,skolemFOFtoCNF_B_1,C) )],[refute_0_209,refute_0_208]) ).
cnf(refute_0_211,plain,
coll(X_3591,skolemFOFtoCNF_F,X_3592),
inference(subst,[],[refute_0_210:[bind(C,$fot(X_3591)),bind(X_3553,$fot(X_3592))]]) ).
cnf(refute_0_212,plain,
( ~ coll(X_3591,skolemFOFtoCNF_F,C)
| coll(C,X_3592,X_3591) ),
inference(resolve,[$cnf( coll(X_3591,skolemFOFtoCNF_F,X_3592) )],[refute_0_211,refute_0_194]) ).
cnf(refute_0_213,plain,
coll(X_3591,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_162:[bind(X_3523,$fot(C)),bind(X_3524,$fot(X_3591)),bind(X_3525,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_214,plain,
coll(C,X_3592,X_3591),
inference(resolve,[$cnf( coll(X_3591,skolemFOFtoCNF_F,C) )],[refute_0_213,refute_0_212]) ).
cnf(refute_0_215,plain,
coll(X_3606,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_214:[bind(C,$fot(X_3606)),bind(X_3591,$fot(C)),bind(X_3592,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_216,plain,
coll(C,X_3607,X_3606),
inference(resolve,[$cnf( coll(X_3606,skolemFOFtoCNF_D,C) )],[refute_0_215,refute_0_193]) ).
cnf(refute_0_217,plain,
coll(X_3612,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_216:[bind(C,$fot(X_3612)),bind(X_3606,$fot(C)),bind(X_3607,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_218,plain,
coll(C,X_3613,X_3612),
inference(resolve,[$cnf( coll(X_3612,skolemFOFtoCNF_B_1,C) )],[refute_0_217,refute_0_170]) ).
cnf(refute_0_219,plain,
coll(X_3635,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_218:[bind(C,$fot(X_3635)),bind(X_3612,$fot(C)),bind(X_3613,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_220,plain,
coll(C,skolemFOFtoCNF_MIDPNT1,X_3635),
inference(resolve,[$cnf( coll(X_3635,skolemFOFtoCNF_A,C) )],[refute_0_219,refute_0_139]) ).
cnf(refute_0_221,plain,
coll(X_3636,skolemFOFtoCNF_MIDPNT1,X_3637),
inference(subst,[],[refute_0_220:[bind(C,$fot(X_3636)),bind(X_3635,$fot(X_3637))]]) ).
cnf(refute_0_222,plain,
( ~ coll(X_3636,skolemFOFtoCNF_MIDPNT1,C)
| coll(C,X_3637,X_3636) ),
inference(resolve,[$cnf( coll(X_3636,skolemFOFtoCNF_MIDPNT1,X_3637) )],[refute_0_221,refute_0_122]) ).
cnf(refute_0_223,plain,
coll(X_3636,skolemFOFtoCNF_MIDPNT1,C),
inference(subst,[],[refute_0_218:[bind(C,$fot(X_3636)),bind(X_3612,$fot(C)),bind(X_3613,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_224,plain,
coll(C,X_3637,X_3636),
inference(resolve,[$cnf( coll(X_3636,skolemFOFtoCNF_MIDPNT1,C) )],[refute_0_223,refute_0_222]) ).
cnf(refute_0_225,plain,
coll(X_3652,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_224:[bind(C,$fot(X_3652)),bind(X_3636,$fot(C)),bind(X_3637,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_226,plain,
coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),X_3652),
inference(resolve,[$cnf( coll(X_3652,skolemFOFtoCNF_A,C) )],[refute_0_225,refute_0_121]) ).
cnf(refute_0_227,plain,
coll(X_3658,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),X_3659),
inference(subst,[],[refute_0_226:[bind(C,$fot(X_3658)),bind(X_3652,$fot(X_3659))]]) ).
cnf(refute_0_228,plain,
( ~ coll(X_3658,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),C)
| coll(C,X_3659,X_3658) ),
inference(resolve,[$cnf( coll(X_3658,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),X_3659) )],[refute_0_227,refute_0_90]) ).
cnf(refute_0_229,plain,
coll(X_3658,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),C),
inference(subst,[],[refute_0_224:[bind(C,$fot(X_3658)),bind(X_3636,$fot(C)),bind(X_3637,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)))]]) ).
cnf(refute_0_230,plain,
coll(C,X_3659,X_3658),
inference(resolve,[$cnf( coll(X_3658,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),C) )],[refute_0_229,refute_0_228]) ).
cnf(refute_0_231,plain,
coll(O,A,C),
inference(subst,[],[refute_0_230:[bind(C,$fot(O)),bind(X_3658,$fot(C)),bind(X_3659,$fot(A))]]) ).
cnf(refute_0_232,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_231,refute_0_89]) ).
cnf(refute_0_233,plain,
( ~ circle(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_232:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_234,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_88,refute_0_233]) ).
cnf(refute_0_235,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_234,refute_0_81]) ).
cnf(refute_0_236,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_235,refute_0_79]) ).
cnf(refute_0_237,plain,
( ~ midp(X_3726,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_A,X_3726,skolemFOFtoCNF_A,X_3726) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(X_3726))]]) ).
cnf(refute_0_238,plain,
( ~ midp(X_3726,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_A,X_3726,skolemFOFtoCNF_A,X_3726) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2) ),
inference(subst,[],[refute_0_238:[bind(X_3726,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_240,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_77,refute_0_239]) ).
cnf(refute_0_241,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2) )],[refute_0_240,refute_0_76]) ).
cnf(refute_0_242,plain,
cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A) )],[refute_0_241,refute_0_75]) ).
cnf(refute_0_243,plain,
cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2) )],[refute_0_242,refute_0_74]) ).
cnf(refute_0_244,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A) )],[refute_0_243,refute_0_73]) ).
cnf(refute_0_245,plain,
coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_230:[bind(C,$fot(skolemFOFtoCNF_MIDPNT2)),bind(X_3658,$fot(skolemFOFtoCNF_A)),bind(X_3659,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_246,plain,
midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_245,refute_0_244]) ).
cnf(refute_0_247,plain,
midp(skolemFOFtoCNF_MIDPNT2,X_3673,X_3673),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_246,refute_0_72]) ).
cnf(refute_0_248,plain,
midp(skolemFOFtoCNF_MIDPNT2,X_3729,X_3729),
inference(subst,[],[refute_0_247:[bind(X_3673,$fot(X_3729))]]) ).
cnf(refute_0_249,plain,
midp(skolemFOFtoCNF_P_1(X_3729,Q),X_3729,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT2,X_3729,X_3729) )],[refute_0_248,refute_0_67]) ).
cnf(refute_0_250,plain,
midp(skolemFOFtoCNF_P_1(X_3913,X_3912),X_3913,X_3912),
inference(subst,[],[refute_0_249:[bind(Q,$fot(X_3912)),bind(X_3729,$fot(X_3913))]]) ).
cnf(refute_0_251,plain,
cong(skolemFOFtoCNF_P_1(X_3913,X_3912),X_3913,skolemFOFtoCNF_P_1(X_3913,X_3912),X_3912),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_3913,X_3912),X_3913,X_3912) )],[refute_0_250,refute_0_24]) ).
cnf(refute_0_252,plain,
cong(skolemFOFtoCNF_P_1(X_5200,X_5199),X_5200,skolemFOFtoCNF_P_1(X_5200,X_5199),X_5199),
inference(subst,[],[refute_0_251:[bind(X_3912,$fot(X_5199)),bind(X_3913,$fot(X_5200))]]) ).
cnf(refute_0_253,plain,
cyclic(X_5200,X_5199,X_5199,X_5199),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_5200,X_5199),X_5200,skolemFOFtoCNF_P_1(X_5200,X_5199),X_5199) )],[refute_0_252,refute_0_22]) ).
cnf(refute_0_254,plain,
cyclic(X_5202,X_5201,X_5201,X_5201),
inference(subst,[],[refute_0_253:[bind(X_5199,$fot(X_5201)),bind(X_5200,$fot(X_5202))]]) ).
cnf(refute_0_255,plain,
cyclic(X_5201,X_5202,X_5201,X_5201),
inference(resolve,[$cnf( cyclic(X_5202,X_5201,X_5201,X_5201) )],[refute_0_254,refute_0_20]) ).
cnf(refute_0_256,plain,
cyclic(X_5203,X_5204,X_5203,X_5203),
inference(subst,[],[refute_0_255:[bind(X_5201,$fot(X_5203)),bind(X_5202,$fot(X_5204))]]) ).
cnf(refute_0_257,plain,
cyclic(X_5203,X_5203,X_5204,X_5203),
inference(resolve,[$cnf( cyclic(X_5203,X_5204,X_5203,X_5203) )],[refute_0_256,refute_0_18]) ).
cnf(refute_0_258,plain,
cyclic(X_5205,X_5205,X_5206,X_5205),
inference(subst,[],[refute_0_257:[bind(X_5203,$fot(X_5205)),bind(X_5204,$fot(X_5206))]]) ).
cnf(refute_0_259,plain,
cyclic(X_5205,X_5205,X_5205,X_5206),
inference(resolve,[$cnf( cyclic(X_5205,X_5205,X_5206,X_5205) )],[refute_0_258,refute_0_16]) ).
cnf(refute_0_260,plain,
cyclic(X_5207,X_5207,X_5207,X_5208),
inference(subst,[],[refute_0_259:[bind(X_5205,$fot(X_5207)),bind(X_5206,$fot(X_5208))]]) ).
cnf(refute_0_261,plain,
cyclic(X_5207,X_5207,X_5208,X_5208),
inference(resolve,[$cnf( cyclic(X_5207,X_5207,X_5207,X_5208) )],[refute_0_260,refute_0_14]) ).
cnf(refute_0_262,plain,
cyclic(X_5209,X_5209,X_5210,X_5210),
inference(subst,[],[refute_0_261:[bind(X_5207,$fot(X_5209)),bind(X_5208,$fot(X_5210))]]) ).
cnf(refute_0_263,plain,
( ~ cong(X_5209,X_5210,X_5209,X_5210)
| perp(X_5210,X_5209,X_5209,X_5210) ),
inference(resolve,[$cnf( cyclic(X_5209,X_5209,X_5210,X_5210) )],[refute_0_262,refute_0_12]) ).
cnf(refute_0_264,plain,
( ~ midp(X_4056,X_4055,X_4055)
| cong(X_4056,X_4055,X_4056,X_4055) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_4056)),bind(B,$fot(X_4055)),bind(C,$fot(X_4055))]]) ).
cnf(refute_0_265,plain,
( ~ midp(X_3743,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_3743,X_3673,X_3673) ),
inference(subst,[],[refute_0_71:[bind(X_3672,$fot(skolemFOFtoCNF_A)),bind(X_3674,$fot(X_3743))]]) ).
cnf(refute_0_266,plain,
( ~ coll(X_3742,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ cong(X_3742,skolemFOFtoCNF_A,X_3742,skolemFOFtoCNF_A)
| midp(X_3742,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_3742)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_267,plain,
( ~ cong(X_3740,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3740)
| cong(X_3740,skolemFOFtoCNF_A,X_3740,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_3740)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3740))]]) ).
cnf(refute_0_268,plain,
( ~ cong(skolemFOFtoCNF_A,X_3735,X_3735,skolemFOFtoCNF_A)
| cong(X_3735,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3735) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3735)),bind(C,$fot(X_3735)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_269,plain,
( ~ cong(skolemFOFtoCNF_A,X_3731,skolemFOFtoCNF_A,X_3731)
| cong(skolemFOFtoCNF_A,X_3731,X_3731,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3731)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3731))]]) ).
cnf(refute_0_270,plain,
( ~ midp(skolemFOFtoCNF_A,X_3728,X_3728)
| cong(skolemFOFtoCNF_A,X_3728,skolemFOFtoCNF_A,X_3728) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3728)),bind(C,$fot(X_3728))]]) ).
cnf(refute_0_271,plain,
( ~ midp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2)
| midp(skolemFOFtoCNF_A,X_3673,X_3673) ),
inference(subst,[],[refute_0_71:[bind(X_3672,$fot(skolemFOFtoCNF_MIDPNT2)),bind(X_3674,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_272,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2)
| ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2)
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_MIDPNT2)),bind(C,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_273,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2)
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2) )],[refute_0_240,refute_0_272]) ).
cnf(refute_0_274,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),
inference(subst,[],[refute_0_230:[bind(C,$fot(skolemFOFtoCNF_A)),bind(X_3658,$fot(skolemFOFtoCNF_MIDPNT2)),bind(X_3659,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_275,plain,
midp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2) )],[refute_0_274,refute_0_273]) ).
cnf(refute_0_276,plain,
midp(skolemFOFtoCNF_A,X_3673,X_3673),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2) )],[refute_0_275,refute_0_271]) ).
cnf(refute_0_277,plain,
midp(skolemFOFtoCNF_A,X_3728,X_3728),
inference(subst,[],[refute_0_276:[bind(X_3673,$fot(X_3728))]]) ).
cnf(refute_0_278,plain,
cong(skolemFOFtoCNF_A,X_3728,skolemFOFtoCNF_A,X_3728),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,X_3728,X_3728) )],[refute_0_277,refute_0_270]) ).
cnf(refute_0_279,plain,
cong(skolemFOFtoCNF_A,X_3731,skolemFOFtoCNF_A,X_3731),
inference(subst,[],[refute_0_278:[bind(X_3728,$fot(X_3731))]]) ).
cnf(refute_0_280,plain,
cong(skolemFOFtoCNF_A,X_3731,X_3731,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_3731,skolemFOFtoCNF_A,X_3731) )],[refute_0_279,refute_0_269]) ).
cnf(refute_0_281,plain,
cong(skolemFOFtoCNF_A,X_3735,X_3735,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_280:[bind(X_3731,$fot(X_3735))]]) ).
cnf(refute_0_282,plain,
cong(X_3735,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3735),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_3735,X_3735,skolemFOFtoCNF_A) )],[refute_0_281,refute_0_268]) ).
cnf(refute_0_283,plain,
cong(X_3740,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3740),
inference(subst,[],[refute_0_282:[bind(X_3735,$fot(X_3740))]]) ).
cnf(refute_0_284,plain,
cong(X_3740,skolemFOFtoCNF_A,X_3740,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(X_3740,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3740) )],[refute_0_283,refute_0_267]) ).
cnf(refute_0_285,plain,
cong(X_3742,skolemFOFtoCNF_A,X_3742,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_284:[bind(X_3740,$fot(X_3742))]]) ).
cnf(refute_0_286,plain,
( ~ coll(X_3742,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_3742,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( cong(X_3742,skolemFOFtoCNF_A,X_3742,skolemFOFtoCNF_A) )],[refute_0_285,refute_0_266]) ).
cnf(refute_0_287,plain,
coll(X_3742,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_230:[bind(C,$fot(X_3742)),bind(X_3658,$fot(skolemFOFtoCNF_A)),bind(X_3659,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_288,plain,
midp(X_3742,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(X_3742,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_287,refute_0_286]) ).
cnf(refute_0_289,plain,
midp(X_3743,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_288:[bind(X_3742,$fot(X_3743))]]) ).
cnf(refute_0_290,plain,
midp(X_3743,X_3673,X_3673),
inference(resolve,[$cnf( midp(X_3743,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_289,refute_0_265]) ).
cnf(refute_0_291,plain,
midp(X_4056,X_4055,X_4055),
inference(subst,[],[refute_0_290:[bind(X_3673,$fot(X_4055)),bind(X_3743,$fot(X_4056))]]) ).
cnf(refute_0_292,plain,
cong(X_4056,X_4055,X_4056,X_4055),
inference(resolve,[$cnf( midp(X_4056,X_4055,X_4055) )],[refute_0_291,refute_0_264]) ).
cnf(refute_0_293,plain,
cong(X_5209,X_5210,X_5209,X_5210),
inference(subst,[],[refute_0_292:[bind(X_4055,$fot(X_5210)),bind(X_4056,$fot(X_5209))]]) ).
cnf(refute_0_294,plain,
perp(X_5210,X_5209,X_5209,X_5210),
inference(resolve,[$cnf( cong(X_5209,X_5210,X_5209,X_5210) )],[refute_0_293,refute_0_263]) ).
cnf(refute_0_295,plain,
perp(X_5212,X_5211,X_5211,X_5212),
inference(subst,[],[refute_0_294:[bind(X_5209,$fot(X_5211)),bind(X_5210,$fot(X_5212))]]) ).
cnf(refute_0_296,plain,
( ~ midp(M,X_5212,X_5212)
| cong(X_5212,M,X_5211,M) ),
inference(resolve,[$cnf( perp(X_5212,X_5211,X_5211,X_5212) )],[refute_0_295,refute_0_10]) ).
cnf(refute_0_297,plain,
( ~ midp(X_3797,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(X_3797,X_3673,X_3673) ),
inference(subst,[],[refute_0_71:[bind(X_3672,$fot(skolemFOFtoCNF_C_1)),bind(X_3674,$fot(X_3797))]]) ).
cnf(refute_0_298,plain,
( ~ coll(X_3796,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| ~ cong(X_3796,skolemFOFtoCNF_C_1,X_3796,skolemFOFtoCNF_C_1)
| midp(X_3796,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_3796)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_299,plain,
( ~ cong(X_3794,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3794)
| cong(X_3794,skolemFOFtoCNF_C_1,X_3794,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_3794)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3794))]]) ).
cnf(refute_0_300,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_3782,X_3782,skolemFOFtoCNF_C_1)
| cong(X_3782,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3782) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3782)),bind(C,$fot(X_3782)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_301,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_3781,skolemFOFtoCNF_C_1,X_3781)
| cong(skolemFOFtoCNF_C_1,X_3781,X_3781,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3781)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3781))]]) ).
cnf(refute_0_302,plain,
( ~ midp(skolemFOFtoCNF_C_1,X_3780,X_3780)
| cong(skolemFOFtoCNF_C_1,X_3780,skolemFOFtoCNF_C_1,X_3780) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3780)),bind(C,$fot(X_3780))]]) ).
cnf(refute_0_303,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| midp(skolemFOFtoCNF_C_1,X_3673,X_3673) ),
inference(subst,[],[refute_0_71:[bind(X_3672,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(X_3674,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_304,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(C,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_305,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(C,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_306,plain,
( ~ cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_307,plain,
( ~ cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_308,plain,
( ~ midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_309,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_310,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_311,plain,
cong(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_146,refute_0_310]) ).
cnf(refute_0_312,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) )],[refute_0_311,refute_0_309]) ).
cnf(refute_0_313,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_45:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_314,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_316,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
( ~ midp(X_3674,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(X_3674,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(X_3674))]]) ).
cnf(refute_0_318,plain,
( ~ midp(X_3674,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_3674,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
( ~ midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_318:[bind(X_3674,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_320,plain,
( ~ midp(M,B,D)
| ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| midp(skolemFOFtoCNF_P_7(A,C),A,C) ),
inference(canonicalize,[],[normalize_0_76]) ).
cnf(refute_0_321,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),X_3760,X_3760)
| ~ perp(X_3760,X_3760,X_3760,X_3760)
| midp(skolemFOFtoCNF_P_7(X_3760,X_3760),X_3760,X_3760) ),
inference(subst,[],[refute_0_320:[bind(A,$fot(X_3760)),bind(B,$fot(X_3760)),bind(C,$fot(X_3760)),bind(D,$fot(X_3760)),bind(M,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2)))]]) ).
cnf(refute_0_322,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),X_3673,X_3673) ),
inference(subst,[],[refute_0_71:[bind(X_3672,$fot(skolemFOFtoCNF_MIDPNT2)),bind(X_3674,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2)))]]) ).
cnf(refute_0_323,plain,
( ~ midp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_MIDPNT2,Q),skolemFOFtoCNF_MIDPNT2,Q) ),
inference(subst,[],[refute_0_66:[bind(D,$fot(skolemFOFtoCNF_MIDPNT2)),bind(N,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_324,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_MIDPNT2,Q),skolemFOFtoCNF_MIDPNT2,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2) )],[refute_0_275,refute_0_323]) ).
cnf(refute_0_325,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),
inference(subst,[],[refute_0_324:[bind(Q,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_326,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),X_3673,X_3673),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2) )],[refute_0_325,refute_0_322]) ).
cnf(refute_0_327,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),X_3760,X_3760),
inference(subst,[],[refute_0_326:[bind(X_3673,$fot(X_3760))]]) ).
cnf(refute_0_328,plain,
( ~ perp(X_3760,X_3760,X_3760,X_3760)
| midp(skolemFOFtoCNF_P_7(X_3760,X_3760),X_3760,X_3760) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),X_3760,X_3760) )],[refute_0_327,refute_0_321]) ).
cnf(refute_0_329,plain,
( ~ circle(skolemFOFtoCNF_A,X_3738,X_3738,X_3738)
| perp(X_3738,X_3738,X_3738,X_3738) ),
inference(subst,[],[refute_0_232:[bind(A,$fot(X_3738)),bind(B,$fot(X_3738)),bind(C,$fot(X_3738)),bind(O,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_330,plain,
( ~ cong(skolemFOFtoCNF_A,X_3731,skolemFOFtoCNF_A,X_3731)
| circle(skolemFOFtoCNF_A,X_3731,X_3731,X_3731) ),
inference(subst,[],[refute_0_82:[bind(A,$fot(X_3731)),bind(B,$fot(X_3731)),bind(C,$fot(X_3731)),bind(O,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_331,plain,
circle(skolemFOFtoCNF_A,X_3731,X_3731,X_3731),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_3731,skolemFOFtoCNF_A,X_3731) )],[refute_0_279,refute_0_330]) ).
cnf(refute_0_332,plain,
circle(skolemFOFtoCNF_A,X_3738,X_3738,X_3738),
inference(subst,[],[refute_0_331:[bind(X_3731,$fot(X_3738))]]) ).
cnf(refute_0_333,plain,
perp(X_3738,X_3738,X_3738,X_3738),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_A,X_3738,X_3738,X_3738) )],[refute_0_332,refute_0_329]) ).
cnf(refute_0_334,plain,
perp(X_3760,X_3760,X_3760,X_3760),
inference(subst,[],[refute_0_333:[bind(X_3738,$fot(X_3760))]]) ).
cnf(refute_0_335,plain,
midp(skolemFOFtoCNF_P_7(X_3760,X_3760),X_3760,X_3760),
inference(resolve,[$cnf( perp(X_3760,X_3760,X_3760,X_3760) )],[refute_0_334,refute_0_328]) ).
cnf(refute_0_336,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_335:[bind(X_3760,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_337,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_336,refute_0_319]) ).
cnf(refute_0_338,plain,
cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_337,refute_0_308]) ).
cnf(refute_0_339,plain,
cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1) )],[refute_0_338,refute_0_307]) ).
cnf(refute_0_340,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) )],[refute_0_339,refute_0_306]) ).
cnf(refute_0_341,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1) )],[refute_0_340,refute_0_305]) ).
cnf(refute_0_342,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) )],[refute_0_341,refute_0_304]) ).
cnf(refute_0_343,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)),
inference(subst,[],[refute_0_230:[bind(C,$fot(skolemFOFtoCNF_C_1)),bind(X_3658,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(X_3659,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_344,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) )],[refute_0_343,refute_0_342]) ).
cnf(refute_0_345,plain,
midp(skolemFOFtoCNF_C_1,X_3673,X_3673),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) )],[refute_0_344,refute_0_303]) ).
cnf(refute_0_346,plain,
midp(skolemFOFtoCNF_C_1,X_3780,X_3780),
inference(subst,[],[refute_0_345:[bind(X_3673,$fot(X_3780))]]) ).
cnf(refute_0_347,plain,
cong(skolemFOFtoCNF_C_1,X_3780,skolemFOFtoCNF_C_1,X_3780),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,X_3780,X_3780) )],[refute_0_346,refute_0_302]) ).
cnf(refute_0_348,plain,
cong(skolemFOFtoCNF_C_1,X_3781,skolemFOFtoCNF_C_1,X_3781),
inference(subst,[],[refute_0_347:[bind(X_3780,$fot(X_3781))]]) ).
cnf(refute_0_349,plain,
cong(skolemFOFtoCNF_C_1,X_3781,X_3781,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_3781,skolemFOFtoCNF_C_1,X_3781) )],[refute_0_348,refute_0_301]) ).
cnf(refute_0_350,plain,
cong(skolemFOFtoCNF_C_1,X_3782,X_3782,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_349:[bind(X_3781,$fot(X_3782))]]) ).
cnf(refute_0_351,plain,
cong(X_3782,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3782),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_3782,X_3782,skolemFOFtoCNF_C_1) )],[refute_0_350,refute_0_300]) ).
cnf(refute_0_352,plain,
cong(X_3794,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3794),
inference(subst,[],[refute_0_351:[bind(X_3782,$fot(X_3794))]]) ).
cnf(refute_0_353,plain,
cong(X_3794,skolemFOFtoCNF_C_1,X_3794,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(X_3794,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3794) )],[refute_0_352,refute_0_299]) ).
cnf(refute_0_354,plain,
cong(X_3796,skolemFOFtoCNF_C_1,X_3796,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_353:[bind(X_3794,$fot(X_3796))]]) ).
cnf(refute_0_355,plain,
( ~ coll(X_3796,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(X_3796,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( cong(X_3796,skolemFOFtoCNF_C_1,X_3796,skolemFOFtoCNF_C_1) )],[refute_0_354,refute_0_298]) ).
cnf(refute_0_356,plain,
coll(X_3796,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_230:[bind(C,$fot(X_3796)),bind(X_3658,$fot(skolemFOFtoCNF_C_1)),bind(X_3659,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_357,plain,
midp(X_3796,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(X_3796,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_356,refute_0_355]) ).
cnf(refute_0_358,plain,
midp(X_3797,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_357:[bind(X_3796,$fot(X_3797))]]) ).
cnf(refute_0_359,plain,
midp(X_3797,X_3673,X_3673),
inference(resolve,[$cnf( midp(X_3797,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_358,refute_0_297]) ).
cnf(refute_0_360,plain,
midp(M,X_5212,X_5212),
inference(subst,[],[refute_0_359:[bind(X_3673,$fot(X_5212)),bind(X_3797,$fot(M))]]) ).
cnf(refute_0_361,plain,
cong(X_5212,M,X_5211,M),
inference(resolve,[$cnf( midp(M,X_5212,X_5212) )],[refute_0_360,refute_0_296]) ).
cnf(refute_0_362,plain,
cong(X_5231,X_5229,X_5230,X_5229),
inference(subst,[],[refute_0_361:[bind(M,$fot(X_5229)),bind(X_5211,$fot(X_5230)),bind(X_5212,$fot(X_5231))]]) ).
cnf(refute_0_363,plain,
cong(X_5231,X_5229,X_5229,X_5230),
inference(resolve,[$cnf( cong(X_5231,X_5229,X_5230,X_5229) )],[refute_0_362,refute_0_8]) ).
cnf(refute_0_364,plain,
cong(X_5234,X_5232,X_5232,X_5233),
inference(subst,[],[refute_0_363:[bind(X_5229,$fot(X_5232)),bind(X_5230,$fot(X_5233)),bind(X_5231,$fot(X_5234))]]) ).
cnf(refute_0_365,plain,
cong(X_5232,X_5233,X_5234,X_5232),
inference(resolve,[$cnf( cong(X_5234,X_5232,X_5232,X_5233) )],[refute_0_364,refute_0_7]) ).
cnf(refute_0_366,plain,
cong(X_5257,X_5258,X_5259,X_5257),
inference(subst,[],[refute_0_365:[bind(X_5232,$fot(X_5257)),bind(X_5233,$fot(X_5258)),bind(X_5234,$fot(X_5259))]]) ).
cnf(refute_0_367,plain,
cong(X_5257,X_5258,X_5257,X_5259),
inference(resolve,[$cnf( cong(X_5257,X_5258,X_5259,X_5257) )],[refute_0_366,refute_0_5]) ).
cnf(refute_0_368,plain,
cong(X_5260,X_5261,X_5260,X_5262),
inference(subst,[],[refute_0_367:[bind(X_5257,$fot(X_5260)),bind(X_5258,$fot(X_5261)),bind(X_5259,$fot(X_5262))]]) ).
cnf(refute_0_369,plain,
( ~ coll(X_5260,X_5261,X_5262)
| midp(X_5260,X_5261,X_5262) ),
inference(resolve,[$cnf( cong(X_5260,X_5261,X_5260,X_5262) )],[refute_0_368,refute_0_3]) ).
cnf(refute_0_370,plain,
coll(X_5260,X_5261,X_5262),
inference(subst,[],[refute_0_230:[bind(C,$fot(X_5260)),bind(X_3658,$fot(X_5262)),bind(X_3659,$fot(X_5261))]]) ).
cnf(refute_0_371,plain,
midp(X_5260,X_5261,X_5262),
inference(resolve,[$cnf( coll(X_5260,X_5261,X_5262) )],[refute_0_370,refute_0_369]) ).
cnf(refute_0_372,plain,
midp(E,A,B),
inference(subst,[],[refute_0_371:[bind(X_5260,$fot(E)),bind(X_5261,$fot(A)),bind(X_5262,$fot(B))]]) ).
cnf(refute_0_373,plain,
( ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(resolve,[$cnf( midp(E,A,B) )],[refute_0_372,refute_0_1]) ).
cnf(refute_0_374,plain,
midp(F,A,C),
inference(subst,[],[refute_0_371:[bind(X_5260,$fot(F)),bind(X_5261,$fot(A)),bind(X_5262,$fot(C))]]) ).
cnf(refute_0_375,plain,
para(E,F,B,C),
inference(resolve,[$cnf( midp(F,A,C) )],[refute_0_374,refute_0_373]) ).
cnf(refute_0_376,plain,
para(skolemFOFtoCNF_G,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_375:[bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(skolemFOFtoCNF_G)),bind(F,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_377,plain,
$false,
inference(resolve,[$cnf( para(skolemFOFtoCNF_G,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_376,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO650+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 23:18:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 90.70/90.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 90.70/90.87
% 90.70/90.87 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 90.70/90.90
%------------------------------------------------------------------------------