%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO659+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.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 05:28:18 EDT 2022
% Result : Theorem 82.47s 82.64s
% Output : CNFRefutation 82.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 84
% Number of leaves : 32
% Syntax : Number of formulae : 430 ( 171 unt; 0 def)
% Number of atoms : 890 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 786 ( 326 ~; 321 |; 105 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-6 aty)
% Number of variables : 1026 ( 155 sgn 488 !; 31 ?)
% 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(ruleX6,axiom,
! [A,B,C,D,M,N] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D) )
=> ( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(ruleX10,axiom,
! [A,B,C,H] :
? [P,Q] :
( ( perp(A,H,B,C)
& perp(B,H,A,C) )
=> ( coll(P,C,B)
& perp(A,P,C,B)
& coll(Q,C,A)
& perp(B,Q,C,A) ) ) ).
fof(ruleX11,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ) ).
fof(exemplo6GDDFULLmoreE02317,conjecture,
! [A,B,C,D,E,F,G,H,MIDPNT1,MIDPNT2,MIDPNT3,NWPNT4,NWPNT5] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& perp(E,B,A,C)
& coll(E,A,C)
& midp(MIDPNT1,A,C)
& perp(A,C,MIDPNT1,F)
& midp(MIDPNT2,A,B)
& perp(A,B,MIDPNT2,F)
& midp(MIDPNT3,C,B)
& perp(C,B,MIDPNT3,F)
& coll(B,E,G)
& circle(F,B,G,NWPNT4)
& coll(A,D,H)
& circle(F,A,H,NWPNT5) )
=> para(D,E,G,H) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E,F,G,H,MIDPNT1,MIDPNT2,MIDPNT3,NWPNT4,NWPNT5] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& perp(E,B,A,C)
& coll(E,A,C)
& midp(MIDPNT1,A,C)
& perp(A,C,MIDPNT1,F)
& midp(MIDPNT2,A,B)
& perp(A,B,MIDPNT2,F)
& midp(MIDPNT3,C,B)
& perp(C,B,MIDPNT3,F)
& coll(B,E,G)
& circle(F,B,G,NWPNT4)
& coll(A,D,H)
& circle(F,A,H,NWPNT5) )
=> para(D,E,G,H) ),
inference(strip,[],[exemplo6GDDFULLmoreE02317]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E,F,G,H,MIDPNT1,MIDPNT2,MIDPNT3,NWPNT4,NWPNT5] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& perp(E,B,A,C)
& coll(E,A,C)
& midp(MIDPNT1,A,C)
& perp(A,C,MIDPNT1,F)
& midp(MIDPNT2,A,B)
& perp(A,B,MIDPNT2,F)
& midp(MIDPNT3,C,B)
& perp(C,B,MIDPNT3,F)
& coll(B,E,G)
& circle(F,B,G,NWPNT4)
& coll(A,D,H)
& circle(F,A,H,NWPNT5) )
=> para(D,E,G,H) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F,G,H,MIDPNT1,MIDPNT2,MIDPNT3] :
( ~ para(D,E,G,H)
& coll(A,D,H)
& coll(B,E,G)
& coll(D,B,C)
& coll(E,A,C)
& midp(MIDPNT1,A,C)
& midp(MIDPNT2,A,B)
& midp(MIDPNT3,C,B)
& perp(A,B,MIDPNT2,F)
& perp(A,C,MIDPNT1,F)
& perp(C,B,MIDPNT3,F)
& perp(D,A,B,C)
& perp(E,B,A,C)
& ? [NWPNT4] : circle(F,B,G,NWPNT4)
& ? [NWPNT5] : circle(F,A,H,NWPNT5) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ para(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_G,skolemFOFtoCNF_H)
& coll(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_H)
& coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_G)
& coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_F)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_F)
& perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_F)
& perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& ? [NWPNT4] : circle(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,NWPNT4)
& ? [NWPNT5] : circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_H,NWPNT5) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ para(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_G,skolemFOFtoCNF_H),
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] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_33,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_35,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD39]) ).
fof(normalize_0_37,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [A,B,C,D,P,Q] :
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(clausify,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[ruleD41]) ).
fof(normalize_0_40,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_42,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_43,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_42]) ).
fof(normalize_0_44,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD40]) ).
fof(normalize_0_45,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_44]) ).
fof(normalize_0_46,plain,
! [A,B,C,D,P,Q] :
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(clausify,[],[normalize_0_45]) ).
fof(normalize_0_47,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[ruleD19]) ).
fof(normalize_0_48,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(specialize,[],[normalize_0_47]) ).
fof(normalize_0_49,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[ruleD64]) ).
fof(normalize_0_50,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(specialize,[],[normalize_0_49]) ).
fof(normalize_0_51,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_52,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| ? [P] :
( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ),
inference(canonicalize,[],[ruleX6]) ).
fof(normalize_0_53,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| ? [P] :
( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ),
inference(specialize,[],[normalize_0_52]) ).
fof(normalize_0_54,plain,
! [A,B,C,D,M,N] :
( ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) )
& ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| para(skolemFOFtoCNF_P(A,B,C,D,M,N),M,B,D) )
& ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| para(skolemFOFtoCNF_P(A,B,C,D,M,N),N,A,C) ) ),
inference(clausify,[],[normalize_0_53]) ).
fof(normalize_0_55,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(conjunct,[],[normalize_0_54]) ).
fof(normalize_0_56,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_57,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_56]) ).
fof(normalize_0_58,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_59,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_58]) ).
fof(normalize_0_60,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_61,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_60]) ).
fof(normalize_0_62,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_63,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_62]) ).
fof(normalize_0_64,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_65,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_64]) ).
fof(normalize_0_66,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_67,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_66]) ).
fof(normalize_0_68,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_G),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_69,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_H),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_70,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_71,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_70]) ).
fof(normalize_0_72,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_71]) ).
fof(normalize_0_73,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(conjunct,[],[normalize_0_72]) ).
fof(normalize_0_74,plain,
? [NWPNT5] : circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_H,NWPNT5),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_75,plain,
circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_H,skolemFOFtoCNF_NWPNT5),
inference(skolemize,[],[normalize_0_74]) ).
fof(normalize_0_76,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(canonicalize,[],[ruleX11]) ).
fof(normalize_0_77,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(specialize,[],[normalize_0_76]) ).
fof(normalize_0_78,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(clausify,[],[normalize_0_77]) ).
fof(normalize_0_79,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) ),
inference(conjunct,[],[normalize_0_72]) ).
cnf(refute_0_0,plain,
~ para(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_G,skolemFOFtoCNF_H),
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_6530,X_6531,X_6532)
| ~ cong(X_6530,X_6531,X_6530,X_6532)
| midp(X_6530,X_6531,X_6532) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_6530)),bind(B,$fot(X_6531)),bind(C,$fot(X_6532))]]) ).
cnf(refute_0_4,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ cong(X_6467,X_6468,X_6469,X_6467)
| cong(X_6467,X_6468,X_6467,X_6469) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_6467)),bind(B,$fot(X_6468)),bind(C,$fot(X_6469)),bind(D,$fot(X_6467))]]) ).
cnf(refute_0_6,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ cong(X_6446,X_6444,X_6444,X_6445)
| cong(X_6444,X_6445,X_6446,X_6444) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_6446)),bind(B,$fot(X_6444)),bind(C,$fot(X_6444)),bind(D,$fot(X_6445))]]) ).
cnf(refute_0_8,plain,
( ~ cong(X_6443,X_6441,X_6442,X_6441)
| cong(X_6443,X_6441,X_6441,X_6442) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_6443)),bind(B,$fot(X_6441)),bind(C,$fot(X_6442)),bind(D,$fot(X_6441))]]) ).
cnf(refute_0_9,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ midp(M,X_6424,X_6424)
| ~ perp(X_6424,X_6423,X_6423,X_6424)
| cong(X_6424,M,X_6423,M) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_6424)),bind(B,$fot(X_6423)),bind(C,$fot(X_6424))]]) ).
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_6421,X_6422,X_6421,X_6422)
| ~ cyclic(X_6421,X_6421,X_6422,X_6422)
| perp(X_6422,X_6421,X_6421,X_6422) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_6421)),bind(B,$fot(X_6421)),bind(P,$fot(X_6422)),bind(Q,$fot(X_6422))]]) ).
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_6419,X_6419,X_6419,X_6420)
| cyclic(X_6419,X_6419,X_6420,X_6420) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_6419)),bind(B,$fot(X_6419)),bind(C,$fot(X_6419)),bind(D,$fot(X_6420)),bind(E,$fot(X_6420))]]) ).
cnf(refute_0_15,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_16,plain,
( ~ cyclic(X_6417,X_6417,X_6418,X_6417)
| cyclic(X_6417,X_6417,X_6417,X_6418) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_6417)),bind(B,$fot(X_6417)),bind(C,$fot(X_6418)),bind(D,$fot(X_6417))]]) ).
cnf(refute_0_17,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_18,plain,
( ~ cyclic(X_6415,X_6416,X_6415,X_6415)
| cyclic(X_6415,X_6415,X_6416,X_6415) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_6415)),bind(B,$fot(X_6416)),bind(C,$fot(X_6415)),bind(D,$fot(X_6415))]]) ).
cnf(refute_0_19,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_20,plain,
( ~ cyclic(X_6414,X_6413,X_6413,X_6413)
| cyclic(X_6413,X_6414,X_6413,X_6413) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_6414)),bind(B,$fot(X_6413)),bind(C,$fot(X_6413)),bind(D,$fot(X_6413))]]) ).
cnf(refute_0_21,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_22,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_6412,X_6411),X_6412,skolemFOFtoCNF_P_1(X_6412,X_6411),X_6411)
| cyclic(X_6412,X_6411,X_6411,X_6411) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_6412)),bind(B,$fot(X_6411)),bind(C,$fot(X_6411)),bind(D,$fot(X_6411)),bind(O,$fot(skolemFOFtoCNF_P_1(X_6412,X_6411)))]]) ).
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_3885,X_3884),X_3885,X_3884)
| cong(skolemFOFtoCNF_P_1(X_3885,X_3884),X_3885,skolemFOFtoCNF_P_1(X_3885,X_3884),X_3884) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P_1(X_3885,X_3884))),bind(B,$fot(X_3885)),bind(C,$fot(X_3884))]]) ).
cnf(refute_0_25,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_26,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_27,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_28,plain,
( ~ coll(X_574,X_573,X_574)
| coll(X_574,X_574,X_573) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_574)),bind(B,$fot(X_573)),bind(C,$fot(X_574))]]) ).
cnf(refute_0_29,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_30,plain,
( ~ coll(X_571,X_572,X_572)
| coll(X_572,X_571,X_572) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_571)),bind(B,$fot(X_572)),bind(C,$fot(X_572))]]) ).
cnf(refute_0_31,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_32,plain,
( ~ para(X_569,X_570,X_569,X_570)
| coll(X_569,X_570,X_570) ),
inference(subst,[],[refute_0_31:[bind(A,$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(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_36,plain,
( ~ cyclic(skolemFOFtoCNF_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_35:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_37,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,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_38,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_39,plain,
midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_40,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_41,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_42,plain,
midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_39,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_44,plain,
cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A) )],[refute_0_44,refute_0_38]) ).
cnf(refute_0_46,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_45,refute_0_37]) ).
cnf(refute_0_47,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_46,refute_0_36]) ).
cnf(refute_0_48,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_33:[bind(A,$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_571,X_572),
inference(resolve,[$cnf( coll(X_571,X_572,X_572) )],[refute_0_61,refute_0_30]) ).
cnf(refute_0_63,plain,
coll(X_574,X_573,X_574),
inference(subst,[],[refute_0_62:[bind(X_571,$fot(X_573)),bind(X_572,$fot(X_574))]]) ).
cnf(refute_0_64,plain,
coll(X_574,X_574,X_573),
inference(resolve,[$cnf( coll(X_574,X_573,X_574) )],[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,[$cnf( coll(D,D,D) )],[refute_0_65,refute_0_26]) ).
cnf(refute_0_67,plain,
( ~ midp(skolemFOFtoCNF_A,X_3822,X_3822)
| midp(skolemFOFtoCNF_P_1(X_3822,Q),X_3822,Q) ),
inference(subst,[],[refute_0_66:[bind(D,$fot(X_3822)),bind(N,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_68,plain,
para(X_3652,X_3653,X_3652,X_3653),
inference(subst,[],[refute_0_58:[bind(X_567,$fot(X_3652)),bind(X_568,$fot(X_3653))]]) ).
cnf(refute_0_69,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_70,plain,
( ~ midp(X_3654,X_3652,X_3652)
| ~ para(X_3652,X_3653,X_3652,X_3653)
| midp(X_3654,X_3653,X_3653) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(X_3652)),bind(B,$fot(X_3652)),bind(C,$fot(X_3653)),bind(D,$fot(X_3653)),bind(M,$fot(X_3654))]]) ).
cnf(refute_0_71,plain,
( ~ midp(X_3654,X_3652,X_3652)
| midp(X_3654,X_3653,X_3653) ),
inference(resolve,[$cnf( para(X_3652,X_3653,X_3652,X_3653) )],[refute_0_68,refute_0_70]) ).
cnf(refute_0_72,plain,
( ~ midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1))
| midp(skolemFOFtoCNF_A,X_3653,X_3653) ),
inference(subst,[],[refute_0_71:[bind(X_3652,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1))),bind(X_3654,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_73,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1))
| ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1))
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1))),bind(C,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)))]]) ).
cnf(refute_0_74,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)))]]) ).
cnf(refute_0_75,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_76,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_77,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_79,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_MIDPNT1)),bind(N,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_80,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_77,refute_0_79]) ).
cnf(refute_0_81,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_80,refute_0_74]) ).
cnf(refute_0_82,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| ~ perp(skolemFOFtoCNF_A,X_3704,X_3704,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),X_3704,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3704)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)))]]) ).
cnf(refute_0_83,plain,
( ~ perp(skolemFOFtoCNF_A,X_3704,X_3704,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),X_3704,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)) ),
inference(subst,[],[refute_0_83:[bind(X_3704,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_85,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_86,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_87,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_88,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_89,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_90,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A)
| circle(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_91,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_92,plain,
cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_77,refute_0_91]) ).
cnf(refute_0_93,plain,
circle(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) )],[refute_0_92,refute_0_90]) ).
cnf(refute_0_94,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_95,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_96,plain,
( ~ coll(X_3623,skolemFOFtoCNF_MIDPNT1,C)
| ~ coll(X_3623,skolemFOFtoCNF_MIDPNT1,X_3624)
| coll(C,X_3624,X_3623) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(X_3623)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(D,$fot(X_3624))]]) ).
cnf(refute_0_97,plain,
( ~ coll(X_3553,skolemFOFtoCNF_A,C)
| ~ coll(X_3553,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1)
| coll(C,skolemFOFtoCNF_MIDPNT1,X_3553) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(X_3553)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_98,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,X_3552,C)
| ~ coll(skolemFOFtoCNF_MIDPNT1,X_3552,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(X_3552)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_99,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_100,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_101,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_102,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_77,refute_0_101]) ).
cnf(refute_0_103,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_102,refute_0_99]) ).
cnf(refute_0_104,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3527)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1)
| coll(skolemFOFtoCNF_MIDPNT1,X_3527,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1)),bind(D,$fot(X_3527))]]) ).
cnf(refute_0_105,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3527)
| coll(skolemFOFtoCNF_MIDPNT1,X_3527,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3527),
inference(subst,[],[refute_0_64:[bind(X_573,$fot(X_3527)),bind(X_574,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_107,plain,
coll(skolemFOFtoCNF_MIDPNT1,X_3527,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3527) )],[refute_0_106,refute_0_105]) ).
cnf(refute_0_108,plain,
coll(skolemFOFtoCNF_MIDPNT1,X_3552,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_107:[bind(X_3527,$fot(X_3552))]]) ).
cnf(refute_0_109,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,X_3552,C)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,X_3552,skolemFOFtoCNF_A) )],[refute_0_108,refute_0_98]) ).
cnf(refute_0_110,plain,
( ~ coll(X_571,X_572,X_572)
| coll(X_572,X_572,X_571) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(X_571)),bind(B,$fot(X_572)),bind(C,$fot(X_572)),bind(D,$fot(X_572))]]) ).
cnf(refute_0_111,plain,
coll(X_572,X_572,X_571),
inference(resolve,[$cnf( coll(X_571,X_572,X_572) )],[refute_0_61,refute_0_110]) ).
cnf(refute_0_112,plain,
coll(X_3525,X_3525,X_3526),
inference(subst,[],[refute_0_111:[bind(X_571,$fot(X_3526)),bind(X_572,$fot(X_3525))]]) ).
cnf(refute_0_113,plain,
( ~ coll(X_3525,X_3525,X_3526)
| ~ coll(X_3525,X_3525,X_3527)
| coll(X_3526,X_3527,X_3525) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(X_3525)),bind(B,$fot(X_3525)),bind(C,$fot(X_3526)),bind(D,$fot(X_3527))]]) ).
cnf(refute_0_114,plain,
( ~ coll(X_3525,X_3525,X_3527)
| coll(X_3526,X_3527,X_3525) ),
inference(resolve,[$cnf( coll(X_3525,X_3525,X_3526) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
coll(X_3525,X_3525,X_3527),
inference(subst,[],[refute_0_64:[bind(X_573,$fot(X_3527)),bind(X_574,$fot(X_3525))]]) ).
cnf(refute_0_116,plain,
coll(X_3526,X_3527,X_3525),
inference(resolve,[$cnf( coll(X_3525,X_3525,X_3527) )],[refute_0_115,refute_0_114]) ).
cnf(refute_0_117,plain,
coll(skolemFOFtoCNF_MIDPNT1,X_3552,C),
inference(subst,[],[refute_0_116:[bind(X_3525,$fot(C)),bind(X_3526,$fot(skolemFOFtoCNF_MIDPNT1)),bind(X_3527,$fot(X_3552))]]) ).
cnf(refute_0_118,plain,
coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,X_3552,C) )],[refute_0_117,refute_0_109]) ).
cnf(refute_0_119,plain,
coll(X_3553,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1),
inference(subst,[],[refute_0_118:[bind(C,$fot(X_3553))]]) ).
cnf(refute_0_120,plain,
( ~ coll(X_3553,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_MIDPNT1,X_3553) ),
inference(resolve,[$cnf( coll(X_3553,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) )],[refute_0_119,refute_0_97]) ).
cnf(refute_0_121,plain,
coll(X_3553,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_116:[bind(X_3525,$fot(C)),bind(X_3526,$fot(X_3553)),bind(X_3527,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_122,plain,
coll(C,skolemFOFtoCNF_MIDPNT1,X_3553),
inference(resolve,[$cnf( coll(X_3553,skolemFOFtoCNF_A,C) )],[refute_0_121,refute_0_120]) ).
cnf(refute_0_123,plain,
coll(X_3623,skolemFOFtoCNF_MIDPNT1,X_3624),
inference(subst,[],[refute_0_122:[bind(C,$fot(X_3623)),bind(X_3553,$fot(X_3624))]]) ).
cnf(refute_0_124,plain,
( ~ coll(X_3623,skolemFOFtoCNF_MIDPNT1,C)
| coll(C,X_3624,X_3623) ),
inference(resolve,[$cnf( coll(X_3623,skolemFOFtoCNF_MIDPNT1,X_3624) )],[refute_0_123,refute_0_96]) ).
cnf(refute_0_125,plain,
( ~ coll(X_3611,skolemFOFtoCNF_B_1,C)
| ~ coll(X_3611,skolemFOFtoCNF_B_1,X_3612)
| coll(C,X_3612,X_3611) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(X_3611)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3612))]]) ).
cnf(refute_0_126,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_3609,X_3610)
| coll(X_3609,skolemFOFtoCNF_B_1,X_3610) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_3609)),bind(C,$fot(X_3610))]]) ).
cnf(refute_0_127,plain,
( ~ coll(X_3598,X_3599,D)
| ~ coll(X_3598,X_3599,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,D,X_3598) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(X_3598)),bind(B,$fot(X_3599)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_128,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,C)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,X_3582)
| coll(C,X_3582,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_3582))]]) ).
cnf(refute_0_129,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_3581,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,X_3581) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_3581)),bind(C,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_130,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_G),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_131,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_132,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_G) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_3527)
| ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_3527,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3527))]]) ).
cnf(refute_0_134,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_3527)
| coll(skolemFOFtoCNF_B_1,X_3527,skolemFOFtoCNF_G) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_3527),
inference(subst,[],[refute_0_64:[bind(X_573,$fot(X_3527)),bind(X_574,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_136,plain,
coll(skolemFOFtoCNF_B_1,X_3527,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_3527) )],[refute_0_135,refute_0_134]) ).
cnf(refute_0_137,plain,
coll(skolemFOFtoCNF_B_1,X_3581,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_136:[bind(X_3527,$fot(X_3581))]]) ).
cnf(refute_0_138,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,X_3581),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_3581,skolemFOFtoCNF_G) )],[refute_0_137,refute_0_129]) ).
cnf(refute_0_139,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,X_3582),
inference(subst,[],[refute_0_138:[bind(X_3581,$fot(X_3582))]]) ).
cnf(refute_0_140,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,C)
| coll(C,X_3582,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,X_3582) )],[refute_0_139,refute_0_128]) ).
cnf(refute_0_141,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,C),
inference(subst,[],[refute_0_116:[bind(X_3525,$fot(C)),bind(X_3526,$fot(skolemFOFtoCNF_B_1)),bind(X_3527,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_142,plain,
coll(C,X_3582,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,C) )],[refute_0_141,refute_0_140]) ).
cnf(refute_0_143,plain,
coll(X_3598,X_3599,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_142:[bind(C,$fot(X_3598)),bind(X_3582,$fot(X_3599))]]) ).
cnf(refute_0_144,plain,
( ~ coll(X_3598,X_3599,D)
| coll(skolemFOFtoCNF_B_1,D,X_3598) ),
inference(resolve,[$cnf( coll(X_3598,X_3599,skolemFOFtoCNF_B_1) )],[refute_0_143,refute_0_127]) ).
cnf(refute_0_145,plain,
coll(X_3598,X_3599,D),
inference(subst,[],[refute_0_116:[bind(X_3525,$fot(D)),bind(X_3526,$fot(X_3598)),bind(X_3527,$fot(X_3599))]]) ).
cnf(refute_0_146,plain,
coll(skolemFOFtoCNF_B_1,D,X_3598),
inference(resolve,[$cnf( coll(X_3598,X_3599,D) )],[refute_0_145,refute_0_144]) ).
cnf(refute_0_147,plain,
coll(skolemFOFtoCNF_B_1,X_3609,X_3610),
inference(subst,[],[refute_0_146:[bind(D,$fot(X_3609)),bind(X_3598,$fot(X_3610))]]) ).
cnf(refute_0_148,plain,
coll(X_3609,skolemFOFtoCNF_B_1,X_3610),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_3609,X_3610) )],[refute_0_147,refute_0_126]) ).
cnf(refute_0_149,plain,
coll(X_3611,skolemFOFtoCNF_B_1,X_3612),
inference(subst,[],[refute_0_148:[bind(X_3609,$fot(X_3611)),bind(X_3610,$fot(X_3612))]]) ).
cnf(refute_0_150,plain,
( ~ coll(X_3611,skolemFOFtoCNF_B_1,C)
| coll(C,X_3612,X_3611) ),
inference(resolve,[$cnf( coll(X_3611,skolemFOFtoCNF_B_1,X_3612) )],[refute_0_149,refute_0_125]) ).
cnf(refute_0_151,plain,
( ~ coll(X_3604,skolemFOFtoCNF_H,C)
| ~ coll(X_3604,skolemFOFtoCNF_H,X_3605)
| coll(C,X_3605,X_3604) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(X_3604)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_3605))]]) ).
cnf(refute_0_152,plain,
( ~ coll(X_3571,skolemFOFtoCNF_A,C)
| ~ coll(X_3571,skolemFOFtoCNF_A,skolemFOFtoCNF_H)
| coll(C,skolemFOFtoCNF_H,X_3571) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(X_3571)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_153,plain,
( ~ coll(skolemFOFtoCNF_A,X_3561,skolemFOFtoCNF_H)
| coll(X_3561,skolemFOFtoCNF_A,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3561)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_154,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_H),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_155,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_156,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_H) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_3527)
| ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_3527,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3527))]]) ).
cnf(refute_0_158,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_3527)
| coll(skolemFOFtoCNF_A,X_3527,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_A) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_3527),
inference(subst,[],[refute_0_64:[bind(X_573,$fot(X_3527)),bind(X_574,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_160,plain,
coll(skolemFOFtoCNF_A,X_3527,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_3527) )],[refute_0_159,refute_0_158]) ).
cnf(refute_0_161,plain,
coll(skolemFOFtoCNF_A,X_3561,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_160:[bind(X_3527,$fot(X_3561))]]) ).
cnf(refute_0_162,plain,
coll(X_3561,skolemFOFtoCNF_A,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3561,skolemFOFtoCNF_H) )],[refute_0_161,refute_0_153]) ).
cnf(refute_0_163,plain,
coll(X_3571,skolemFOFtoCNF_A,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_162:[bind(X_3561,$fot(X_3571))]]) ).
cnf(refute_0_164,plain,
( ~ coll(X_3571,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_H,X_3571) ),
inference(resolve,[$cnf( coll(X_3571,skolemFOFtoCNF_A,skolemFOFtoCNF_H) )],[refute_0_163,refute_0_152]) ).
cnf(refute_0_165,plain,
coll(X_3571,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_116:[bind(X_3525,$fot(C)),bind(X_3526,$fot(X_3571)),bind(X_3527,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_166,plain,
coll(C,skolemFOFtoCNF_H,X_3571),
inference(resolve,[$cnf( coll(X_3571,skolemFOFtoCNF_A,C) )],[refute_0_165,refute_0_164]) ).
cnf(refute_0_167,plain,
coll(X_3604,skolemFOFtoCNF_H,X_3605),
inference(subst,[],[refute_0_166:[bind(C,$fot(X_3604)),bind(X_3571,$fot(X_3605))]]) ).
cnf(refute_0_168,plain,
( ~ coll(X_3604,skolemFOFtoCNF_H,C)
| coll(C,X_3605,X_3604) ),
inference(resolve,[$cnf( coll(X_3604,skolemFOFtoCNF_H,X_3605) )],[refute_0_167,refute_0_151]) ).
cnf(refute_0_169,plain,
( ~ coll(X_3602,skolemFOFtoCNF_F,C)
| ~ coll(X_3602,skolemFOFtoCNF_F,X_3603)
| coll(C,X_3603,X_3602) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(X_3602)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_3603))]]) ).
cnf(refute_0_170,plain,
( ~ coll(X_3568,skolemFOFtoCNF_A,C)
| ~ coll(X_3568,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| coll(C,skolemFOFtoCNF_F,X_3568) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(X_3568)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_171,plain,
( ~ coll(skolemFOFtoCNF_A,X_3560,skolemFOFtoCNF_F)
| coll(X_3560,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3560)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_172,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_173,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_174,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_175,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_176,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_177,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_176:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F)),bind(H,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_178,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_179,plain,
( ~ perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_180,plain,
( ~ perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_181,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_182,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_183,plain,
circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_H,skolemFOFtoCNF_NWPNT5),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_184,plain,
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(canonicalize,[],[normalize_0_78]) ).
cnf(refute_0_185,plain,
( ~ circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_H,skolemFOFtoCNF_NWPNT5)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_184:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_NWPNT5)),bind(O,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_186,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_H,skolemFOFtoCNF_NWPNT5) )],[refute_0_183,refute_0_185]) ).
cnf(refute_0_187,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_186,refute_0_182]) ).
cnf(refute_0_188,plain,
perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_187,refute_0_181]) ).
cnf(refute_0_189,plain,
perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A) )],[refute_0_188,refute_0_180]) ).
cnf(refute_0_190,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)) )],[refute_0_189,refute_0_179]) ).
cnf(refute_0_191,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_190,refute_0_178]) ).
cnf(refute_0_192,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_191,refute_0_177]) ).
cnf(refute_0_193,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_192,refute_0_175]) ).
cnf(refute_0_194,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) ),
inference(canonicalize,[],[normalize_0_79]) ).
cnf(refute_0_195,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_194:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F)),bind(H,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_196,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_193,refute_0_195]) ).
cnf(refute_0_197,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_196,refute_0_174]) ).
cnf(refute_0_198,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_197,refute_0_173]) ).
cnf(refute_0_199,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F) )],[refute_0_198,refute_0_172]) ).
cnf(refute_0_200,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3527)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_3527,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3527))]]) ).
cnf(refute_0_201,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3527)
| coll(skolemFOFtoCNF_A,X_3527,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3527),
inference(subst,[],[refute_0_64:[bind(X_573,$fot(X_3527)),bind(X_574,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_203,plain,
coll(skolemFOFtoCNF_A,X_3527,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_3527) )],[refute_0_202,refute_0_201]) ).
cnf(refute_0_204,plain,
coll(skolemFOFtoCNF_A,X_3560,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_203:[bind(X_3527,$fot(X_3560))]]) ).
cnf(refute_0_205,plain,
coll(X_3560,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3560,skolemFOFtoCNF_F) )],[refute_0_204,refute_0_171]) ).
cnf(refute_0_206,plain,
coll(X_3568,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_205:[bind(X_3560,$fot(X_3568))]]) ).
cnf(refute_0_207,plain,
( ~ coll(X_3568,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_F,X_3568) ),
inference(resolve,[$cnf( coll(X_3568,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_206,refute_0_170]) ).
cnf(refute_0_208,plain,
coll(X_3568,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_116:[bind(X_3525,$fot(C)),bind(X_3526,$fot(X_3568)),bind(X_3527,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_209,plain,
coll(C,skolemFOFtoCNF_F,X_3568),
inference(resolve,[$cnf( coll(X_3568,skolemFOFtoCNF_A,C) )],[refute_0_208,refute_0_207]) ).
cnf(refute_0_210,plain,
coll(X_3602,skolemFOFtoCNF_F,X_3603),
inference(subst,[],[refute_0_209:[bind(C,$fot(X_3602)),bind(X_3568,$fot(X_3603))]]) ).
cnf(refute_0_211,plain,
( ~ coll(X_3602,skolemFOFtoCNF_F,C)
| coll(C,X_3603,X_3602) ),
inference(resolve,[$cnf( coll(X_3602,skolemFOFtoCNF_F,X_3603) )],[refute_0_210,refute_0_169]) ).
cnf(refute_0_212,plain,
coll(X_3602,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_116:[bind(X_3525,$fot(C)),bind(X_3526,$fot(X_3602)),bind(X_3527,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_213,plain,
coll(C,X_3603,X_3602),
inference(resolve,[$cnf( coll(X_3602,skolemFOFtoCNF_F,C) )],[refute_0_212,refute_0_211]) ).
cnf(refute_0_214,plain,
coll(X_3604,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_213:[bind(C,$fot(X_3604)),bind(X_3602,$fot(C)),bind(X_3603,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_215,plain,
coll(C,X_3605,X_3604),
inference(resolve,[$cnf( coll(X_3604,skolemFOFtoCNF_H,C) )],[refute_0_214,refute_0_168]) ).
cnf(refute_0_216,plain,
coll(X_3611,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_215:[bind(C,$fot(X_3611)),bind(X_3604,$fot(C)),bind(X_3605,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_217,plain,
coll(C,X_3612,X_3611),
inference(resolve,[$cnf( coll(X_3611,skolemFOFtoCNF_B_1,C) )],[refute_0_216,refute_0_150]) ).
cnf(refute_0_218,plain,
coll(X_3623,skolemFOFtoCNF_MIDPNT1,C),
inference(subst,[],[refute_0_217:[bind(C,$fot(X_3623)),bind(X_3611,$fot(C)),bind(X_3612,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_219,plain,
coll(C,X_3624,X_3623),
inference(resolve,[$cnf( coll(X_3623,skolemFOFtoCNF_MIDPNT1,C) )],[refute_0_218,refute_0_124]) ).
cnf(refute_0_220,plain,
coll(O,A,C),
inference(subst,[],[refute_0_219:[bind(C,$fot(O)),bind(X_3623,$fot(C)),bind(X_3624,$fot(A))]]) ).
cnf(refute_0_221,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_220,refute_0_94]) ).
cnf(refute_0_222,plain,
( ~ circle(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_221:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_223,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_93,refute_0_222]) ).
cnf(refute_0_224,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_223,refute_0_88]) ).
cnf(refute_0_225,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_224,refute_0_86]) ).
cnf(refute_0_226,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_225,refute_0_84]) ).
cnf(refute_0_227,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1))
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)) )],[refute_0_226,refute_0_73]) ).
cnf(refute_0_228,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)),
inference(subst,[],[refute_0_219:[bind(C,$fot(skolemFOFtoCNF_A)),bind(X_3623,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1))),bind(X_3624,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)))]]) ).
cnf(refute_0_229,plain,
midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)) )],[refute_0_228,refute_0_227]) ).
cnf(refute_0_230,plain,
midp(skolemFOFtoCNF_A,X_3653,X_3653),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)) )],[refute_0_229,refute_0_72]) ).
cnf(refute_0_231,plain,
midp(skolemFOFtoCNF_A,X_3822,X_3822),
inference(subst,[],[refute_0_230:[bind(X_3653,$fot(X_3822))]]) ).
cnf(refute_0_232,plain,
midp(skolemFOFtoCNF_P_1(X_3822,Q),X_3822,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,X_3822,X_3822) )],[refute_0_231,refute_0_67]) ).
cnf(refute_0_233,plain,
midp(skolemFOFtoCNF_P_1(X_3885,X_3884),X_3885,X_3884),
inference(subst,[],[refute_0_232:[bind(Q,$fot(X_3884)),bind(X_3822,$fot(X_3885))]]) ).
cnf(refute_0_234,plain,
cong(skolemFOFtoCNF_P_1(X_3885,X_3884),X_3885,skolemFOFtoCNF_P_1(X_3885,X_3884),X_3884),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_3885,X_3884),X_3885,X_3884) )],[refute_0_233,refute_0_24]) ).
cnf(refute_0_235,plain,
cong(skolemFOFtoCNF_P_1(X_6412,X_6411),X_6412,skolemFOFtoCNF_P_1(X_6412,X_6411),X_6411),
inference(subst,[],[refute_0_234:[bind(X_3884,$fot(X_6411)),bind(X_3885,$fot(X_6412))]]) ).
cnf(refute_0_236,plain,
cyclic(X_6412,X_6411,X_6411,X_6411),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_6412,X_6411),X_6412,skolemFOFtoCNF_P_1(X_6412,X_6411),X_6411) )],[refute_0_235,refute_0_22]) ).
cnf(refute_0_237,plain,
cyclic(X_6414,X_6413,X_6413,X_6413),
inference(subst,[],[refute_0_236:[bind(X_6411,$fot(X_6413)),bind(X_6412,$fot(X_6414))]]) ).
cnf(refute_0_238,plain,
cyclic(X_6413,X_6414,X_6413,X_6413),
inference(resolve,[$cnf( cyclic(X_6414,X_6413,X_6413,X_6413) )],[refute_0_237,refute_0_20]) ).
cnf(refute_0_239,plain,
cyclic(X_6415,X_6416,X_6415,X_6415),
inference(subst,[],[refute_0_238:[bind(X_6413,$fot(X_6415)),bind(X_6414,$fot(X_6416))]]) ).
cnf(refute_0_240,plain,
cyclic(X_6415,X_6415,X_6416,X_6415),
inference(resolve,[$cnf( cyclic(X_6415,X_6416,X_6415,X_6415) )],[refute_0_239,refute_0_18]) ).
cnf(refute_0_241,plain,
cyclic(X_6417,X_6417,X_6418,X_6417),
inference(subst,[],[refute_0_240:[bind(X_6415,$fot(X_6417)),bind(X_6416,$fot(X_6418))]]) ).
cnf(refute_0_242,plain,
cyclic(X_6417,X_6417,X_6417,X_6418),
inference(resolve,[$cnf( cyclic(X_6417,X_6417,X_6418,X_6417) )],[refute_0_241,refute_0_16]) ).
cnf(refute_0_243,plain,
cyclic(X_6419,X_6419,X_6419,X_6420),
inference(subst,[],[refute_0_242:[bind(X_6417,$fot(X_6419)),bind(X_6418,$fot(X_6420))]]) ).
cnf(refute_0_244,plain,
cyclic(X_6419,X_6419,X_6420,X_6420),
inference(resolve,[$cnf( cyclic(X_6419,X_6419,X_6419,X_6420) )],[refute_0_243,refute_0_14]) ).
cnf(refute_0_245,plain,
cyclic(X_6421,X_6421,X_6422,X_6422),
inference(subst,[],[refute_0_244:[bind(X_6419,$fot(X_6421)),bind(X_6420,$fot(X_6422))]]) ).
cnf(refute_0_246,plain,
( ~ cong(X_6421,X_6422,X_6421,X_6422)
| perp(X_6422,X_6421,X_6421,X_6422) ),
inference(resolve,[$cnf( cyclic(X_6421,X_6421,X_6422,X_6422) )],[refute_0_245,refute_0_12]) ).
cnf(refute_0_247,plain,
( ~ midp(X_3852,X_3851,X_3851)
| cong(X_3852,X_3851,X_3852,X_3851) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_3852)),bind(B,$fot(X_3851)),bind(C,$fot(X_3851))]]) ).
cnf(refute_0_248,plain,
( ~ midp(X_3850,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(X_3850,X_3653,X_3653) ),
inference(subst,[],[refute_0_71:[bind(X_3652,$fot(skolemFOFtoCNF_C_1)),bind(X_3654,$fot(X_3850))]]) ).
cnf(refute_0_249,plain,
( ~ coll(X_3849,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| ~ cong(X_3849,skolemFOFtoCNF_C_1,X_3849,skolemFOFtoCNF_C_1)
| midp(X_3849,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_3849)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_250,plain,
( ~ cong(X_3847,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3847)
| cong(X_3847,skolemFOFtoCNF_C_1,X_3847,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_3847)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3847))]]) ).
cnf(refute_0_251,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_3838,X_3838,skolemFOFtoCNF_C_1)
| cong(X_3838,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3838) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3838)),bind(C,$fot(X_3838)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_252,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_3827,skolemFOFtoCNF_C_1,X_3827)
| cong(skolemFOFtoCNF_C_1,X_3827,X_3827,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3827)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3827))]]) ).
cnf(refute_0_253,plain,
( ~ midp(skolemFOFtoCNF_C_1,X_3823,X_3823)
| cong(skolemFOFtoCNF_C_1,X_3823,skolemFOFtoCNF_C_1,X_3823) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3823)),bind(C,$fot(X_3823))]]) ).
cnf(refute_0_254,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1))
| midp(skolemFOFtoCNF_C_1,X_3653,X_3653) ),
inference(subst,[],[refute_0_71:[bind(X_3652,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1))),bind(X_3654,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_255,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1))
| ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1))
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1))),bind(C,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)))]]) ).
cnf(refute_0_256,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)))]]) ).
cnf(refute_0_257,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_MIDPNT1)),bind(N,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_258,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_75,refute_0_257]) ).
cnf(refute_0_259,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_258,refute_0_256]) ).
cnf(refute_0_260,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| ~ perp(skolemFOFtoCNF_C_1,X_3704,X_3704,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),X_3704,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3704)),bind(C,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)))]]) ).
cnf(refute_0_261,plain,
( ~ perp(skolemFOFtoCNF_C_1,X_3704,X_3704,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),X_3704,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)) ),
inference(subst,[],[refute_0_261:[bind(X_3704,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_263,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_264,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_265,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1)
| circle(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_266,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_267,plain,
cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) )],[refute_0_92,refute_0_266]) ).
cnf(refute_0_268,plain,
circle(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_C_1) )],[refute_0_267,refute_0_265]) ).
cnf(refute_0_269,plain,
( ~ circle(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_221:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_270,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_270,refute_0_264]) ).
cnf(refute_0_272,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_271,refute_0_263]) ).
cnf(refute_0_273,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_272,refute_0_262]) ).
cnf(refute_0_274,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1))
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)) )],[refute_0_273,refute_0_255]) ).
cnf(refute_0_275,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)),
inference(subst,[],[refute_0_219:[bind(C,$fot(skolemFOFtoCNF_C_1)),bind(X_3623,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1))),bind(X_3624,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)))]]) ).
cnf(refute_0_276,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)) )],[refute_0_275,refute_0_274]) ).
cnf(refute_0_277,plain,
midp(skolemFOFtoCNF_C_1,X_3653,X_3653),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)) )],[refute_0_276,refute_0_254]) ).
cnf(refute_0_278,plain,
midp(skolemFOFtoCNF_C_1,X_3823,X_3823),
inference(subst,[],[refute_0_277:[bind(X_3653,$fot(X_3823))]]) ).
cnf(refute_0_279,plain,
cong(skolemFOFtoCNF_C_1,X_3823,skolemFOFtoCNF_C_1,X_3823),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,X_3823,X_3823) )],[refute_0_278,refute_0_253]) ).
cnf(refute_0_280,plain,
cong(skolemFOFtoCNF_C_1,X_3827,skolemFOFtoCNF_C_1,X_3827),
inference(subst,[],[refute_0_279:[bind(X_3823,$fot(X_3827))]]) ).
cnf(refute_0_281,plain,
cong(skolemFOFtoCNF_C_1,X_3827,X_3827,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_3827,skolemFOFtoCNF_C_1,X_3827) )],[refute_0_280,refute_0_252]) ).
cnf(refute_0_282,plain,
cong(skolemFOFtoCNF_C_1,X_3838,X_3838,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_281:[bind(X_3827,$fot(X_3838))]]) ).
cnf(refute_0_283,plain,
cong(X_3838,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3838),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_3838,X_3838,skolemFOFtoCNF_C_1) )],[refute_0_282,refute_0_251]) ).
cnf(refute_0_284,plain,
cong(X_3847,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3847),
inference(subst,[],[refute_0_283:[bind(X_3838,$fot(X_3847))]]) ).
cnf(refute_0_285,plain,
cong(X_3847,skolemFOFtoCNF_C_1,X_3847,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(X_3847,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3847) )],[refute_0_284,refute_0_250]) ).
cnf(refute_0_286,plain,
cong(X_3849,skolemFOFtoCNF_C_1,X_3849,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_285:[bind(X_3847,$fot(X_3849))]]) ).
cnf(refute_0_287,plain,
( ~ coll(X_3849,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(X_3849,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( cong(X_3849,skolemFOFtoCNF_C_1,X_3849,skolemFOFtoCNF_C_1) )],[refute_0_286,refute_0_249]) ).
cnf(refute_0_288,plain,
coll(X_3849,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_219:[bind(C,$fot(X_3849)),bind(X_3623,$fot(skolemFOFtoCNF_C_1)),bind(X_3624,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_289,plain,
midp(X_3849,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(X_3849,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_288,refute_0_287]) ).
cnf(refute_0_290,plain,
midp(X_3850,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_289:[bind(X_3849,$fot(X_3850))]]) ).
cnf(refute_0_291,plain,
midp(X_3850,X_3653,X_3653),
inference(resolve,[$cnf( midp(X_3850,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_290,refute_0_248]) ).
cnf(refute_0_292,plain,
midp(X_3852,X_3851,X_3851),
inference(subst,[],[refute_0_291:[bind(X_3653,$fot(X_3851)),bind(X_3850,$fot(X_3852))]]) ).
cnf(refute_0_293,plain,
cong(X_3852,X_3851,X_3852,X_3851),
inference(resolve,[$cnf( midp(X_3852,X_3851,X_3851) )],[refute_0_292,refute_0_247]) ).
cnf(refute_0_294,plain,
cong(X_6421,X_6422,X_6421,X_6422),
inference(subst,[],[refute_0_293:[bind(X_3851,$fot(X_6422)),bind(X_3852,$fot(X_6421))]]) ).
cnf(refute_0_295,plain,
perp(X_6422,X_6421,X_6421,X_6422),
inference(resolve,[$cnf( cong(X_6421,X_6422,X_6421,X_6422) )],[refute_0_294,refute_0_246]) ).
cnf(refute_0_296,plain,
perp(X_6424,X_6423,X_6423,X_6424),
inference(subst,[],[refute_0_295:[bind(X_6421,$fot(X_6423)),bind(X_6422,$fot(X_6424))]]) ).
cnf(refute_0_297,plain,
( ~ midp(M,X_6424,X_6424)
| cong(X_6424,M,X_6423,M) ),
inference(resolve,[$cnf( perp(X_6424,X_6423,X_6423,X_6424) )],[refute_0_296,refute_0_10]) ).
cnf(refute_0_298,plain,
midp(M,X_6424,X_6424),
inference(subst,[],[refute_0_291:[bind(X_3653,$fot(X_6424)),bind(X_3850,$fot(M))]]) ).
cnf(refute_0_299,plain,
cong(X_6424,M,X_6423,M),
inference(resolve,[$cnf( midp(M,X_6424,X_6424) )],[refute_0_298,refute_0_297]) ).
cnf(refute_0_300,plain,
cong(X_6443,X_6441,X_6442,X_6441),
inference(subst,[],[refute_0_299:[bind(M,$fot(X_6441)),bind(X_6423,$fot(X_6442)),bind(X_6424,$fot(X_6443))]]) ).
cnf(refute_0_301,plain,
cong(X_6443,X_6441,X_6441,X_6442),
inference(resolve,[$cnf( cong(X_6443,X_6441,X_6442,X_6441) )],[refute_0_300,refute_0_8]) ).
cnf(refute_0_302,plain,
cong(X_6446,X_6444,X_6444,X_6445),
inference(subst,[],[refute_0_301:[bind(X_6441,$fot(X_6444)),bind(X_6442,$fot(X_6445)),bind(X_6443,$fot(X_6446))]]) ).
cnf(refute_0_303,plain,
cong(X_6444,X_6445,X_6446,X_6444),
inference(resolve,[$cnf( cong(X_6446,X_6444,X_6444,X_6445) )],[refute_0_302,refute_0_7]) ).
cnf(refute_0_304,plain,
cong(X_6467,X_6468,X_6469,X_6467),
inference(subst,[],[refute_0_303:[bind(X_6444,$fot(X_6467)),bind(X_6445,$fot(X_6468)),bind(X_6446,$fot(X_6469))]]) ).
cnf(refute_0_305,plain,
cong(X_6467,X_6468,X_6467,X_6469),
inference(resolve,[$cnf( cong(X_6467,X_6468,X_6469,X_6467) )],[refute_0_304,refute_0_5]) ).
cnf(refute_0_306,plain,
cong(X_6530,X_6531,X_6530,X_6532),
inference(subst,[],[refute_0_305:[bind(X_6467,$fot(X_6530)),bind(X_6468,$fot(X_6531)),bind(X_6469,$fot(X_6532))]]) ).
cnf(refute_0_307,plain,
( ~ coll(X_6530,X_6531,X_6532)
| midp(X_6530,X_6531,X_6532) ),
inference(resolve,[$cnf( cong(X_6530,X_6531,X_6530,X_6532) )],[refute_0_306,refute_0_3]) ).
cnf(refute_0_308,plain,
coll(X_6530,X_6531,X_6532),
inference(subst,[],[refute_0_219:[bind(C,$fot(X_6530)),bind(X_3623,$fot(X_6532)),bind(X_3624,$fot(X_6531))]]) ).
cnf(refute_0_309,plain,
midp(X_6530,X_6531,X_6532),
inference(resolve,[$cnf( coll(X_6530,X_6531,X_6532) )],[refute_0_308,refute_0_307]) ).
cnf(refute_0_310,plain,
midp(E,A,B),
inference(subst,[],[refute_0_309:[bind(X_6530,$fot(E)),bind(X_6531,$fot(A)),bind(X_6532,$fot(B))]]) ).
cnf(refute_0_311,plain,
( ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(resolve,[$cnf( midp(E,A,B) )],[refute_0_310,refute_0_1]) ).
cnf(refute_0_312,plain,
midp(F,A,C),
inference(subst,[],[refute_0_309:[bind(X_6530,$fot(F)),bind(X_6531,$fot(A)),bind(X_6532,$fot(C))]]) ).
cnf(refute_0_313,plain,
para(E,F,B,C),
inference(resolve,[$cnf( midp(F,A,C) )],[refute_0_312,refute_0_311]) ).
cnf(refute_0_314,plain,
para(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_G,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_313:[bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_H)),bind(E,$fot(skolemFOFtoCNF_D)),bind(F,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_315,plain,
$false,
inference(resolve,[$cnf( para(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_G,skolemFOFtoCNF_H) )],[refute_0_314,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO659+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 07:40:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 82.47/82.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 82.47/82.64
% 82.47/82.64 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 82.47/82.67
%------------------------------------------------------------------------------