%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO646+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 05:28:02 EDT 2022
% Result : Theorem 72.83s 73.05s
% Output : CNFRefutation 72.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 88
% Number of leaves : 30
% Syntax : Number of formulae : 390 ( 156 unt; 0 def)
% Number of atoms : 801 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 710 ( 299 ~; 294 |; 85 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-6 aty)
% Number of variables : 987 ( 155 sgn 462 !; 32 ?)
% 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(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(exemplo6GDDFULLmoreE0133,conjecture,
! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6] :
( ( circle(A,B,NWPNT1,NWPNT2)
& perp(A,B,B,D)
& circle(A,B,C,NWPNT3)
& perp(A,C,C,D)
& circle(A,B,E,NWPNT4)
& coll(F,D,E)
& circle(A,B,F,NWPNT5)
& midp(G,E,F)
& coll(C,G,H)
& circle(A,C,H,NWPNT6) )
=> para(E,F,B,H) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6] :
( ( circle(A,B,NWPNT1,NWPNT2)
& perp(A,B,B,D)
& circle(A,B,C,NWPNT3)
& perp(A,C,C,D)
& circle(A,B,E,NWPNT4)
& coll(F,D,E)
& circle(A,B,F,NWPNT5)
& midp(G,E,F)
& coll(C,G,H)
& circle(A,C,H,NWPNT6) )
=> para(E,F,B,H) ),
inference(strip,[],[exemplo6GDDFULLmoreE0133]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6] :
( ( circle(A,B,NWPNT1,NWPNT2)
& perp(A,B,B,D)
& circle(A,B,C,NWPNT3)
& perp(A,C,C,D)
& circle(A,B,E,NWPNT4)
& coll(F,D,E)
& circle(A,B,F,NWPNT5)
& midp(G,E,F)
& coll(C,G,H)
& circle(A,C,H,NWPNT6) )
=> para(E,F,B,H) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F,G,H] :
( ~ para(E,F,B,H)
& coll(C,G,H)
& coll(F,D,E)
& midp(G,E,F)
& perp(A,B,B,D)
& perp(A,C,C,D)
& ? [NWPNT3] : circle(A,B,C,NWPNT3)
& ? [NWPNT4] : circle(A,B,E,NWPNT4)
& ? [NWPNT5] : circle(A,B,F,NWPNT5)
& ? [NWPNT6] : circle(A,C,H,NWPNT6)
& ? [NWPNT1,NWPNT2] : circle(A,B,NWPNT1,NWPNT2) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ para(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
& coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_H)
& coll(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_E)
& midp(skolemFOFtoCNF_G,skolemFOFtoCNF_E,skolemFOFtoCNF_F)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
& ? [NWPNT3] : circle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,NWPNT3)
& ? [NWPNT4] : circle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,NWPNT4)
& ? [NWPNT5] : circle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,NWPNT5)
& ? [NWPNT6] : circle(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,NWPNT6)
& ? [NWPNT1,NWPNT2] : circle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,NWPNT1,NWPNT2) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ para(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,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,
midp(skolemFOFtoCNF_G,skolemFOFtoCNF_E,skolemFOFtoCNF_F),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_40,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_41,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_40]) ).
fof(normalize_0_42,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[ruleD41]) ).
fof(normalize_0_43,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_42]) ).
fof(normalize_0_44,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD40]) ).
fof(normalize_0_45,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_44]) ).
fof(normalize_0_46,plain,
! [A,B,C,D,P,Q] :
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(clausify,[],[normalize_0_45]) ).
fof(normalize_0_47,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[ruleD19]) ).
fof(normalize_0_48,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(specialize,[],[normalize_0_47]) ).
fof(normalize_0_49,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[ruleD64]) ).
fof(normalize_0_50,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(specialize,[],[normalize_0_49]) ).
fof(normalize_0_51,plain,
! [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_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(specialize,[],[normalize_0_51]) ).
fof(normalize_0_53,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_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) ),
inference(conjunct,[],[normalize_0_53]) ).
fof(normalize_0_55,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_56,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_55]) ).
fof(normalize_0_57,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_58,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_57]) ).
fof(normalize_0_59,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_60,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_59]) ).
fof(normalize_0_61,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_62,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_61]) ).
fof(normalize_0_63,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_64,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_63]) ).
fof(normalize_0_65,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_H),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_66,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_67,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_68,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| ? [P,Q] :
( coll(P,C,B)
& coll(Q,C,A)
& perp(A,P,C,B)
& perp(B,Q,C,A) ) ),
inference(specialize,[],[normalize_0_67]) ).
fof(normalize_0_69,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_68]) ).
fof(normalize_0_70,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_69]) ).
fof(normalize_0_71,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
~ para(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,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_5229,X_5230,X_5231)
| ~ cong(X_5229,X_5230,X_5229,X_5231)
| midp(X_5229,X_5230,X_5231) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5229)),bind(B,$fot(X_5230)),bind(C,$fot(X_5231))]]) ).
cnf(refute_0_4,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ cong(X_5203,X_5204,X_5205,X_5203)
| cong(X_5203,X_5204,X_5203,X_5205) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5203)),bind(B,$fot(X_5204)),bind(C,$fot(X_5205)),bind(D,$fot(X_5203))]]) ).
cnf(refute_0_6,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ cong(X_5182,X_5180,X_5180,X_5181)
| cong(X_5180,X_5181,X_5182,X_5180) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_5182)),bind(B,$fot(X_5180)),bind(C,$fot(X_5180)),bind(D,$fot(X_5181))]]) ).
cnf(refute_0_8,plain,
( ~ cong(X_5179,X_5177,X_5178,X_5177)
| cong(X_5179,X_5177,X_5177,X_5178) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5179)),bind(B,$fot(X_5177)),bind(C,$fot(X_5178)),bind(D,$fot(X_5177))]]) ).
cnf(refute_0_9,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ midp(M,X_5160,X_5160)
| ~ perp(X_5160,X_5159,X_5159,X_5160)
| cong(X_5160,M,X_5159,M) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_5160)),bind(B,$fot(X_5159)),bind(C,$fot(X_5160))]]) ).
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_5157,X_5158,X_5157,X_5158)
| ~ cyclic(X_5157,X_5157,X_5158,X_5158)
| perp(X_5158,X_5157,X_5157,X_5158) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_5157)),bind(B,$fot(X_5157)),bind(P,$fot(X_5158)),bind(Q,$fot(X_5158))]]) ).
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_5155,X_5155,X_5155,X_5156)
| cyclic(X_5155,X_5155,X_5156,X_5156) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_5155)),bind(B,$fot(X_5155)),bind(C,$fot(X_5155)),bind(D,$fot(X_5156)),bind(E,$fot(X_5156))]]) ).
cnf(refute_0_15,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_16,plain,
( ~ cyclic(X_5153,X_5153,X_5154,X_5153)
| cyclic(X_5153,X_5153,X_5153,X_5154) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_5153)),bind(B,$fot(X_5153)),bind(C,$fot(X_5154)),bind(D,$fot(X_5153))]]) ).
cnf(refute_0_17,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_18,plain,
( ~ cyclic(X_5151,X_5152,X_5151,X_5151)
| cyclic(X_5151,X_5151,X_5152,X_5151) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_5151)),bind(B,$fot(X_5152)),bind(C,$fot(X_5151)),bind(D,$fot(X_5151))]]) ).
cnf(refute_0_19,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_20,plain,
( ~ cyclic(X_5150,X_5149,X_5149,X_5149)
| cyclic(X_5149,X_5150,X_5149,X_5149) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_5150)),bind(B,$fot(X_5149)),bind(C,$fot(X_5149)),bind(D,$fot(X_5149))]]) ).
cnf(refute_0_21,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_22,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_5148,X_5147),X_5148,skolemFOFtoCNF_P_1(X_5148,X_5147),X_5147)
| cyclic(X_5148,X_5147,X_5147,X_5147) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_5148)),bind(B,$fot(X_5147)),bind(C,$fot(X_5147)),bind(D,$fot(X_5147)),bind(O,$fot(skolemFOFtoCNF_P_1(X_5148,X_5147)))]]) ).
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_1631,X_1630),X_1631,X_1630)
| cong(skolemFOFtoCNF_P_1(X_1631,X_1630),X_1631,skolemFOFtoCNF_P_1(X_1631,X_1630),X_1630) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P_1(X_1631,X_1630))),bind(B,$fot(X_1631)),bind(C,$fot(X_1630))]]) ).
cnf(refute_0_25,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_26,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_27,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_28,plain,
( ~ coll(X_354,X_353,X_354)
| coll(X_354,X_354,X_353) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_354)),bind(B,$fot(X_353)),bind(C,$fot(X_354))]]) ).
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_351,X_352,X_352)
| coll(X_352,X_351,X_352) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_351)),bind(B,$fot(X_352)),bind(C,$fot(X_352))]]) ).
cnf(refute_0_31,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_32,plain,
( ~ para(X_349,X_350,X_349,X_350)
| coll(X_349,X_350,X_350) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_349)),bind(B,$fot(X_350)),bind(C,$fot(X_350))]]) ).
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_347,X_348,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_347,X_348,skolemFOFtoCNF_E,skolemFOFtoCNF_E)
| para(X_347,X_348,X_347,X_348) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_347)),bind(B,$fot(X_348)),bind(C,$fot(X_347)),bind(D,$fot(X_348)),bind(P,$fot(skolemFOFtoCNF_E)),bind(Q,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_35,plain,
( ~ cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E)
| cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E)),bind(E,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_36,plain,
( ~ cong(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_E)
| cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E)),bind(O,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_37,plain,
midp(skolemFOFtoCNF_G,skolemFOFtoCNF_E,skolemFOFtoCNF_F),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_38,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_39,plain,
( ~ midp(skolemFOFtoCNF_G,skolemFOFtoCNF_E,skolemFOFtoCNF_F)
| midp(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_E)),bind(M,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_40,plain,
midp(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_E),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_G,skolemFOFtoCNF_E,skolemFOFtoCNF_F) )],[refute_0_37,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ midp(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_E)
| cong(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_42,plain,
cong(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_E),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_E) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_E) )],[refute_0_42,refute_0_36]) ).
cnf(refute_0_44,plain,
cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E) )],[refute_0_43,refute_0_35]) ).
cnf(refute_0_45,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_46,plain,
( ~ cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E)
| eqangle(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_45:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(P,$fot(skolemFOFtoCNF_E)),bind(Q,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_47,plain,
eqangle(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E) )],[refute_0_44,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ eqangle(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E)
| para(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E)),bind(P,$fot(skolemFOFtoCNF_E)),bind(Q,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_49,plain,
para(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E) )],[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_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E)
| eqangle(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_153,X_154,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_153,X_154) ),
inference(subst,[],[refute_0_50:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E)),bind(P,$fot(X_153)),bind(Q,$fot(X_154))]]) ).
cnf(refute_0_52,plain,
eqangle(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_153,X_154,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E) )],[refute_0_49,refute_0_51]) ).
cnf(refute_0_53,plain,
eqangle(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_345,X_346,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_345,X_346),
inference(subst,[],[refute_0_52:[bind(X_153,$fot(X_345)),bind(X_154,$fot(X_346))]]) ).
cnf(refute_0_54,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_55,plain,
( ~ eqangle(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_345,X_346,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_345,X_346)
| eqangle(X_345,X_346,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_345,X_346,skolemFOFtoCNF_E,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_54:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(X_345)),bind(D,$fot(X_346)),bind(P,$fot(skolemFOFtoCNF_E)),bind(Q,$fot(skolemFOFtoCNF_E)),bind(U,$fot(X_345)),bind(V,$fot(X_346))]]) ).
cnf(refute_0_56,plain,
eqangle(X_345,X_346,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_345,X_346,skolemFOFtoCNF_E,skolemFOFtoCNF_E),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_345,X_346,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_345,X_346) )],[refute_0_53,refute_0_55]) ).
cnf(refute_0_57,plain,
eqangle(X_347,X_348,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_347,X_348,skolemFOFtoCNF_E,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_56:[bind(X_345,$fot(X_347)),bind(X_346,$fot(X_348))]]) ).
cnf(refute_0_58,plain,
para(X_347,X_348,X_347,X_348),
inference(resolve,[$cnf( eqangle(X_347,X_348,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_347,X_348,skolemFOFtoCNF_E,skolemFOFtoCNF_E) )],[refute_0_57,refute_0_34]) ).
cnf(refute_0_59,plain,
para(X_349,X_350,X_349,X_350),
inference(subst,[],[refute_0_58:[bind(X_347,$fot(X_349)),bind(X_348,$fot(X_350))]]) ).
cnf(refute_0_60,plain,
coll(X_349,X_350,X_350),
inference(resolve,[$cnf( para(X_349,X_350,X_349,X_350) )],[refute_0_59,refute_0_32]) ).
cnf(refute_0_61,plain,
coll(X_351,X_352,X_352),
inference(subst,[],[refute_0_60:[bind(X_349,$fot(X_351)),bind(X_350,$fot(X_352))]]) ).
cnf(refute_0_62,plain,
coll(X_352,X_351,X_352),
inference(resolve,[$cnf( coll(X_351,X_352,X_352) )],[refute_0_61,refute_0_30]) ).
cnf(refute_0_63,plain,
coll(X_354,X_353,X_354),
inference(subst,[],[refute_0_62:[bind(X_351,$fot(X_353)),bind(X_352,$fot(X_354))]]) ).
cnf(refute_0_64,plain,
coll(X_354,X_354,X_353),
inference(resolve,[$cnf( coll(X_354,X_353,X_354) )],[refute_0_63,refute_0_28]) ).
cnf(refute_0_65,plain,
coll(D,D,D),
inference(subst,[],[refute_0_64:[bind(X_353,$fot(D)),bind(X_354,$fot(D))]]) ).
cnf(refute_0_66,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_65,refute_0_26]) ).
cnf(refute_0_67,plain,
( ~ midp(skolemFOFtoCNF_E,X_1615,X_1615)
| midp(skolemFOFtoCNF_P_1(X_1615,Q),X_1615,Q) ),
inference(subst,[],[refute_0_66:[bind(D,$fot(X_1615)),bind(N,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_68,plain,
para(X_1501,X_1502,X_1501,X_1502),
inference(subst,[],[refute_0_58:[bind(X_347,$fot(X_1501)),bind(X_348,$fot(X_1502))]]) ).
cnf(refute_0_69,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_70,plain,
( ~ midp(X_1503,X_1501,X_1501)
| ~ para(X_1501,X_1502,X_1501,X_1502)
| midp(X_1503,X_1502,X_1502) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(X_1501)),bind(B,$fot(X_1501)),bind(C,$fot(X_1502)),bind(D,$fot(X_1502)),bind(M,$fot(X_1503))]]) ).
cnf(refute_0_71,plain,
( ~ midp(X_1503,X_1501,X_1501)
| midp(X_1503,X_1502,X_1502) ),
inference(resolve,[$cnf( para(X_1501,X_1502,X_1501,X_1502) )],[refute_0_68,refute_0_70]) ).
cnf(refute_0_72,plain,
( ~ midp(skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G))
| midp(skolemFOFtoCNF_E,X_1502,X_1502) ),
inference(subst,[],[refute_0_71:[bind(X_1501,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G))),bind(X_1503,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_73,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G))
| ~ cong(skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G))
| midp(skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G))),bind(C,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G)))]]) ).
cnf(refute_0_74,plain,
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_75,plain,
( ~ midp(skolemFOFtoCNF_G,skolemFOFtoCNF_E,skolemFOFtoCNF_F)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_E,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_F)),bind(M,$fot(skolemFOFtoCNF_G)),bind(N,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_76,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_E,skolemFOFtoCNF_F),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_G,skolemFOFtoCNF_E,skolemFOFtoCNF_F) )],[refute_0_37,refute_0_75]) ).
cnf(refute_0_77,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_E,skolemFOFtoCNF_F)
| ~ perp(skolemFOFtoCNF_E,X_1533,X_1533,skolemFOFtoCNF_F)
| cong(skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),X_1533,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G)) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(X_1533)),bind(C,$fot(skolemFOFtoCNF_F)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G)))]]) ).
cnf(refute_0_78,plain,
( ~ perp(skolemFOFtoCNF_E,X_1533,X_1533,skolemFOFtoCNF_F)
| cong(skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),X_1533,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G)) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_E,skolemFOFtoCNF_F) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
( ~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_F)
| cong(skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G)) ),
inference(subst,[],[refute_0_78:[bind(X_1533,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_80,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_81,plain,
( ~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E)
| perp(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_82,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_83,plain,
( ~ perp(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E)
| perp(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_82:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_84,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_85,plain,
( ~ cong(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_E)
| circle(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_84:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_E)),bind(O,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_86,plain,
circle(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_E),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_E) )],[refute_0_42,refute_0_85]) ).
cnf(refute_0_87,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_88,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_89,plain,
( ~ coll(X_1492,skolemFOFtoCNF_H,C)
| ~ coll(X_1492,skolemFOFtoCNF_H,X_1493)
| coll(C,X_1493,X_1492) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_1492)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_1493))]]) ).
cnf(refute_0_90,plain,
( ~ coll(X_1475,X_1476,skolemFOFtoCNF_H)
| coll(X_1475,skolemFOFtoCNF_H,X_1476) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_1475)),bind(B,$fot(X_1476)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_91,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_G,C)
| ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_G,X_1437)
| coll(C,X_1437,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_1437))]]) ).
cnf(refute_0_92,plain,
( ~ coll(skolemFOFtoCNF_H,X_1436,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_G,X_1436) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(X_1436)),bind(C,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_93,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_G,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_94,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_G,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_95,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_H),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_96,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_97,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_H) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_99,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_G,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) )],[refute_0_99,refute_0_94]) ).
cnf(refute_0_101,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_G,skolemFOFtoCNF_C_1) )],[refute_0_100,refute_0_93]) ).
cnf(refute_0_102,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_103,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1395)
| ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,X_1395,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_1395))]]) ).
cnf(refute_0_105,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1395)
| coll(skolemFOFtoCNF_H,X_1395,skolemFOFtoCNF_G) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_H) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1395),
inference(subst,[],[refute_0_64:[bind(X_353,$fot(X_1395)),bind(X_354,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_107,plain,
coll(skolemFOFtoCNF_H,X_1395,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1395) )],[refute_0_106,refute_0_105]) ).
cnf(refute_0_108,plain,
coll(skolemFOFtoCNF_H,X_1436,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_107:[bind(X_1395,$fot(X_1436))]]) ).
cnf(refute_0_109,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_G,X_1436),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,X_1436,skolemFOFtoCNF_G) )],[refute_0_108,refute_0_92]) ).
cnf(refute_0_110,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_G,X_1437),
inference(subst,[],[refute_0_109:[bind(X_1436,$fot(X_1437))]]) ).
cnf(refute_0_111,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_G,C)
| coll(C,X_1437,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_G,X_1437) )],[refute_0_110,refute_0_91]) ).
cnf(refute_0_112,plain,
coll(X_1393,X_1393,X_1394),
inference(subst,[],[refute_0_64:[bind(X_353,$fot(X_1394)),bind(X_354,$fot(X_1393))]]) ).
cnf(refute_0_113,plain,
( ~ coll(X_1393,X_1393,X_1394)
| ~ coll(X_1393,X_1393,X_1395)
| coll(X_1394,X_1395,X_1393) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_1393)),bind(B,$fot(X_1393)),bind(C,$fot(X_1394)),bind(D,$fot(X_1395))]]) ).
cnf(refute_0_114,plain,
( ~ coll(X_1393,X_1393,X_1395)
| coll(X_1394,X_1395,X_1393) ),
inference(resolve,[$cnf( coll(X_1393,X_1393,X_1394) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
coll(X_1393,X_1393,X_1395),
inference(subst,[],[refute_0_64:[bind(X_353,$fot(X_1395)),bind(X_354,$fot(X_1393))]]) ).
cnf(refute_0_116,plain,
coll(X_1394,X_1395,X_1393),
inference(resolve,[$cnf( coll(X_1393,X_1393,X_1395) )],[refute_0_115,refute_0_114]) ).
cnf(refute_0_117,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_G,C),
inference(subst,[],[refute_0_116:[bind(X_1393,$fot(C)),bind(X_1394,$fot(skolemFOFtoCNF_H)),bind(X_1395,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_118,plain,
coll(C,X_1437,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_G,C) )],[refute_0_117,refute_0_111]) ).
cnf(refute_0_119,plain,
coll(X_1475,X_1476,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_118:[bind(C,$fot(X_1475)),bind(X_1437,$fot(X_1476))]]) ).
cnf(refute_0_120,plain,
coll(X_1475,skolemFOFtoCNF_H,X_1476),
inference(resolve,[$cnf( coll(X_1475,X_1476,skolemFOFtoCNF_H) )],[refute_0_119,refute_0_90]) ).
cnf(refute_0_121,plain,
coll(X_1492,skolemFOFtoCNF_H,X_1493),
inference(subst,[],[refute_0_120:[bind(X_1475,$fot(X_1492)),bind(X_1476,$fot(X_1493))]]) ).
cnf(refute_0_122,plain,
( ~ coll(X_1492,skolemFOFtoCNF_H,C)
| coll(C,X_1493,X_1492) ),
inference(resolve,[$cnf( coll(X_1492,skolemFOFtoCNF_H,X_1493) )],[refute_0_121,refute_0_89]) ).
cnf(refute_0_123,plain,
( ~ coll(X_1484,skolemFOFtoCNF_A,C)
| ~ coll(X_1484,skolemFOFtoCNF_A,X_1485)
| coll(C,X_1485,X_1484) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_1484)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1485))]]) ).
cnf(refute_0_124,plain,
( ~ coll(X_1442,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1442,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,X_1442) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_1442)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_125,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_1432,skolemFOFtoCNF_A)
| coll(X_1432,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1432)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_126,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A))),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_127,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_128,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_129,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_130,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_131,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_82:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_132,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_132,refute_0_129]) ).
cnf(refute_0_134,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) ),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_135,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_134:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(H,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_136,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_133,refute_0_135]) ).
cnf(refute_0_137,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_136,refute_0_128]) ).
cnf(refute_0_138,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_137,refute_0_127]) ).
cnf(refute_0_139,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A) )],[refute_0_138,refute_0_126]) ).
cnf(refute_0_140,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1395)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_1395,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1395))]]) ).
cnf(refute_0_141,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1395)
| coll(skolemFOFtoCNF_B_1,X_1395,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1395),
inference(subst,[],[refute_0_64:[bind(X_353,$fot(X_1395)),bind(X_354,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_143,plain,
coll(skolemFOFtoCNF_B_1,X_1395,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1395) )],[refute_0_142,refute_0_141]) ).
cnf(refute_0_144,plain,
coll(skolemFOFtoCNF_B_1,X_1432,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_143:[bind(X_1395,$fot(X_1432))]]) ).
cnf(refute_0_145,plain,
coll(X_1432,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1432,skolemFOFtoCNF_A) )],[refute_0_144,refute_0_125]) ).
cnf(refute_0_146,plain,
coll(X_1442,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_145:[bind(X_1432,$fot(X_1442))]]) ).
cnf(refute_0_147,plain,
( ~ coll(X_1442,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_A,X_1442) ),
inference(resolve,[$cnf( coll(X_1442,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_146,refute_0_124]) ).
cnf(refute_0_148,plain,
coll(X_1442,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_116:[bind(X_1393,$fot(C)),bind(X_1394,$fot(X_1442)),bind(X_1395,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_149,plain,
coll(C,skolemFOFtoCNF_A,X_1442),
inference(resolve,[$cnf( coll(X_1442,skolemFOFtoCNF_B_1,C) )],[refute_0_148,refute_0_147]) ).
cnf(refute_0_150,plain,
coll(X_1484,skolemFOFtoCNF_A,X_1485),
inference(subst,[],[refute_0_149:[bind(C,$fot(X_1484)),bind(X_1442,$fot(X_1485))]]) ).
cnf(refute_0_151,plain,
( ~ coll(X_1484,skolemFOFtoCNF_A,C)
| coll(C,X_1485,X_1484) ),
inference(resolve,[$cnf( coll(X_1484,skolemFOFtoCNF_A,X_1485) )],[refute_0_150,refute_0_123]) ).
cnf(refute_0_152,plain,
( ~ coll(X_1482,skolemFOFtoCNF_G,C)
| ~ coll(X_1482,skolemFOFtoCNF_G,X_1483)
| coll(C,X_1483,X_1482) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_1482)),bind(B,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_1483))]]) ).
cnf(refute_0_153,plain,
( ~ coll(X_1438,skolemFOFtoCNF_H,C)
| ~ coll(X_1438,skolemFOFtoCNF_H,skolemFOFtoCNF_G)
| coll(C,skolemFOFtoCNF_G,X_1438) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_1438)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_154,plain,
( ~ coll(skolemFOFtoCNF_H,X_1436,skolemFOFtoCNF_G)
| coll(X_1436,skolemFOFtoCNF_H,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(X_1436)),bind(C,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_155,plain,
coll(X_1436,skolemFOFtoCNF_H,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,X_1436,skolemFOFtoCNF_G) )],[refute_0_108,refute_0_154]) ).
cnf(refute_0_156,plain,
coll(X_1438,skolemFOFtoCNF_H,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_155:[bind(X_1436,$fot(X_1438))]]) ).
cnf(refute_0_157,plain,
( ~ coll(X_1438,skolemFOFtoCNF_H,C)
| coll(C,skolemFOFtoCNF_G,X_1438) ),
inference(resolve,[$cnf( coll(X_1438,skolemFOFtoCNF_H,skolemFOFtoCNF_G) )],[refute_0_156,refute_0_153]) ).
cnf(refute_0_158,plain,
coll(X_1438,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_116:[bind(X_1393,$fot(C)),bind(X_1394,$fot(X_1438)),bind(X_1395,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_159,plain,
coll(C,skolemFOFtoCNF_G,X_1438),
inference(resolve,[$cnf( coll(X_1438,skolemFOFtoCNF_H,C) )],[refute_0_158,refute_0_157]) ).
cnf(refute_0_160,plain,
coll(X_1482,skolemFOFtoCNF_G,X_1483),
inference(subst,[],[refute_0_159:[bind(C,$fot(X_1482)),bind(X_1438,$fot(X_1483))]]) ).
cnf(refute_0_161,plain,
( ~ coll(X_1482,skolemFOFtoCNF_G,C)
| coll(C,X_1483,X_1482) ),
inference(resolve,[$cnf( coll(X_1482,skolemFOFtoCNF_G,X_1483) )],[refute_0_160,refute_0_152]) ).
cnf(refute_0_162,plain,
( ~ coll(X_1468,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1468,skolemFOFtoCNF_B_1,X_1469)
| coll(C,X_1469,X_1468) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_1468)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1469))]]) ).
cnf(refute_0_163,plain,
( ~ coll(X_1467,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),C)
| ~ coll(X_1467,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_1467) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_1467)),bind(B,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A))),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_164,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),X_1466,skolemFOFtoCNF_B_1)
| coll(X_1466,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A))),bind(B,$fot(X_1466)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_165,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_166,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_136,refute_0_165]) ).
cnf(refute_0_167,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1395)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A))
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),X_1395,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A))),bind(D,$fot(X_1395))]]) ).
cnf(refute_0_168,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1395)
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),X_1395,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1395),
inference(subst,[],[refute_0_64:[bind(X_353,$fot(X_1395)),bind(X_354,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_170,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),X_1395,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1395) )],[refute_0_169,refute_0_168]) ).
cnf(refute_0_171,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),X_1466,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_170:[bind(X_1395,$fot(X_1466))]]) ).
cnf(refute_0_172,plain,
coll(X_1466,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),X_1466,skolemFOFtoCNF_B_1) )],[refute_0_171,refute_0_164]) ).
cnf(refute_0_173,plain,
coll(X_1467,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_172:[bind(X_1466,$fot(X_1467))]]) ).
cnf(refute_0_174,plain,
( ~ coll(X_1467,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),C)
| coll(C,skolemFOFtoCNF_B_1,X_1467) ),
inference(resolve,[$cnf( coll(X_1467,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1) )],[refute_0_173,refute_0_163]) ).
cnf(refute_0_175,plain,
( ~ coll(X_1454,skolemFOFtoCNF_C_1,C)
| ~ coll(X_1454,skolemFOFtoCNF_C_1,X_1455)
| coll(C,X_1455,X_1454) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_1454)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1455))]]) ).
cnf(refute_0_176,plain,
( ~ coll(X_1410,skolemFOFtoCNF_A,C)
| ~ coll(X_1410,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,X_1410) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(X_1410)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_177,plain,
( ~ coll(skolemFOFtoCNF_A,X_1409,skolemFOFtoCNF_C_1)
| coll(X_1409,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1409)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_178,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A))),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_179,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_180,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_181,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_182,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_82:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_183,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_183,refute_0_180]) ).
cnf(refute_0_185,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_134:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(H,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_186,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_186,refute_0_179]) ).
cnf(refute_0_188,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),skolemFOFtoCNF_C_1) )],[refute_0_187,refute_0_178]) ).
cnf(refute_0_189,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1395)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_1395,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1395))]]) ).
cnf(refute_0_190,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1395)
| coll(skolemFOFtoCNF_A,X_1395,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1395),
inference(subst,[],[refute_0_64:[bind(X_353,$fot(X_1395)),bind(X_354,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_192,plain,
coll(skolemFOFtoCNF_A,X_1395,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1395) )],[refute_0_191,refute_0_190]) ).
cnf(refute_0_193,plain,
coll(skolemFOFtoCNF_A,X_1409,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_192:[bind(X_1395,$fot(X_1409))]]) ).
cnf(refute_0_194,plain,
coll(X_1409,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1409,skolemFOFtoCNF_C_1) )],[refute_0_193,refute_0_177]) ).
cnf(refute_0_195,plain,
coll(X_1410,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_194:[bind(X_1409,$fot(X_1410))]]) ).
cnf(refute_0_196,plain,
( ~ coll(X_1410,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_C_1,X_1410) ),
inference(resolve,[$cnf( coll(X_1410,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_195,refute_0_176]) ).
cnf(refute_0_197,plain,
coll(X_1410,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_116:[bind(X_1393,$fot(C)),bind(X_1394,$fot(X_1410)),bind(X_1395,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_198,plain,
coll(C,skolemFOFtoCNF_C_1,X_1410),
inference(resolve,[$cnf( coll(X_1410,skolemFOFtoCNF_A,C) )],[refute_0_197,refute_0_196]) ).
cnf(refute_0_199,plain,
coll(X_1454,skolemFOFtoCNF_C_1,X_1455),
inference(subst,[],[refute_0_198:[bind(C,$fot(X_1454)),bind(X_1410,$fot(X_1455))]]) ).
cnf(refute_0_200,plain,
( ~ coll(X_1454,skolemFOFtoCNF_C_1,C)
| coll(C,X_1455,X_1454) ),
inference(resolve,[$cnf( coll(X_1454,skolemFOFtoCNF_C_1,X_1455) )],[refute_0_199,refute_0_175]) ).
cnf(refute_0_201,plain,
coll(X_1454,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_116:[bind(X_1393,$fot(C)),bind(X_1394,$fot(X_1454)),bind(X_1395,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_202,plain,
coll(C,X_1455,X_1454),
inference(resolve,[$cnf( coll(X_1454,skolemFOFtoCNF_C_1,C) )],[refute_0_201,refute_0_200]) ).
cnf(refute_0_203,plain,
coll(X_1467,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),C),
inference(subst,[],[refute_0_202:[bind(C,$fot(X_1467)),bind(X_1454,$fot(C)),bind(X_1455,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_204,plain,
coll(C,skolemFOFtoCNF_B_1,X_1467),
inference(resolve,[$cnf( coll(X_1467,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),C) )],[refute_0_203,refute_0_174]) ).
cnf(refute_0_205,plain,
coll(X_1468,skolemFOFtoCNF_B_1,X_1469),
inference(subst,[],[refute_0_204:[bind(C,$fot(X_1468)),bind(X_1467,$fot(X_1469))]]) ).
cnf(refute_0_206,plain,
( ~ coll(X_1468,skolemFOFtoCNF_B_1,C)
| coll(C,X_1469,X_1468) ),
inference(resolve,[$cnf( coll(X_1468,skolemFOFtoCNF_B_1,X_1469) )],[refute_0_205,refute_0_162]) ).
cnf(refute_0_207,plain,
coll(X_1468,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_202:[bind(C,$fot(X_1468)),bind(X_1454,$fot(C)),bind(X_1455,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_208,plain,
coll(C,X_1469,X_1468),
inference(resolve,[$cnf( coll(X_1468,skolemFOFtoCNF_B_1,C) )],[refute_0_207,refute_0_206]) ).
cnf(refute_0_209,plain,
coll(X_1482,skolemFOFtoCNF_G,C),
inference(subst,[],[refute_0_208:[bind(C,$fot(X_1482)),bind(X_1468,$fot(C)),bind(X_1469,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_210,plain,
coll(C,X_1483,X_1482),
inference(resolve,[$cnf( coll(X_1482,skolemFOFtoCNF_G,C) )],[refute_0_209,refute_0_161]) ).
cnf(refute_0_211,plain,
coll(X_1484,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_210:[bind(C,$fot(X_1484)),bind(X_1482,$fot(C)),bind(X_1483,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_212,plain,
coll(C,X_1485,X_1484),
inference(resolve,[$cnf( coll(X_1484,skolemFOFtoCNF_A,C) )],[refute_0_211,refute_0_151]) ).
cnf(refute_0_213,plain,
coll(X_1492,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_212:[bind(C,$fot(X_1492)),bind(X_1484,$fot(C)),bind(X_1485,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_214,plain,
coll(C,X_1493,X_1492),
inference(resolve,[$cnf( coll(X_1492,skolemFOFtoCNF_H,C) )],[refute_0_213,refute_0_122]) ).
cnf(refute_0_215,plain,
coll(O,A,C),
inference(subst,[],[refute_0_214:[bind(C,$fot(O)),bind(X_1492,$fot(C)),bind(X_1493,$fot(A))]]) ).
cnf(refute_0_216,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_215,refute_0_87]) ).
cnf(refute_0_217,plain,
( ~ circle(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_E)
| perp(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_216:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_E)),bind(O,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_218,plain,
perp(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_E) )],[refute_0_86,refute_0_217]) ).
cnf(refute_0_219,plain,
perp(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E) )],[refute_0_218,refute_0_83]) ).
cnf(refute_0_220,plain,
perp(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_F),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E) )],[refute_0_219,refute_0_81]) ).
cnf(refute_0_221,plain,
cong(skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_F) )],[refute_0_220,refute_0_79]) ).
cnf(refute_0_222,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G))
| midp(skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G)) )],[refute_0_221,refute_0_73]) ).
cnf(refute_0_223,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G)),
inference(subst,[],[refute_0_214:[bind(C,$fot(skolemFOFtoCNF_E)),bind(X_1492,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G))),bind(X_1493,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G)))]]) ).
cnf(refute_0_224,plain,
midp(skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G)) )],[refute_0_223,refute_0_222]) ).
cnf(refute_0_225,plain,
midp(skolemFOFtoCNF_E,X_1502,X_1502),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_G)) )],[refute_0_224,refute_0_72]) ).
cnf(refute_0_226,plain,
midp(skolemFOFtoCNF_E,X_1615,X_1615),
inference(subst,[],[refute_0_225:[bind(X_1502,$fot(X_1615))]]) ).
cnf(refute_0_227,plain,
midp(skolemFOFtoCNF_P_1(X_1615,Q),X_1615,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_E,X_1615,X_1615) )],[refute_0_226,refute_0_67]) ).
cnf(refute_0_228,plain,
midp(skolemFOFtoCNF_P_1(X_1631,X_1630),X_1631,X_1630),
inference(subst,[],[refute_0_227:[bind(Q,$fot(X_1630)),bind(X_1615,$fot(X_1631))]]) ).
cnf(refute_0_229,plain,
cong(skolemFOFtoCNF_P_1(X_1631,X_1630),X_1631,skolemFOFtoCNF_P_1(X_1631,X_1630),X_1630),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_1631,X_1630),X_1631,X_1630) )],[refute_0_228,refute_0_24]) ).
cnf(refute_0_230,plain,
cong(skolemFOFtoCNF_P_1(X_5148,X_5147),X_5148,skolemFOFtoCNF_P_1(X_5148,X_5147),X_5147),
inference(subst,[],[refute_0_229:[bind(X_1630,$fot(X_5147)),bind(X_1631,$fot(X_5148))]]) ).
cnf(refute_0_231,plain,
cyclic(X_5148,X_5147,X_5147,X_5147),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_5148,X_5147),X_5148,skolemFOFtoCNF_P_1(X_5148,X_5147),X_5147) )],[refute_0_230,refute_0_22]) ).
cnf(refute_0_232,plain,
cyclic(X_5150,X_5149,X_5149,X_5149),
inference(subst,[],[refute_0_231:[bind(X_5147,$fot(X_5149)),bind(X_5148,$fot(X_5150))]]) ).
cnf(refute_0_233,plain,
cyclic(X_5149,X_5150,X_5149,X_5149),
inference(resolve,[$cnf( cyclic(X_5150,X_5149,X_5149,X_5149) )],[refute_0_232,refute_0_20]) ).
cnf(refute_0_234,plain,
cyclic(X_5151,X_5152,X_5151,X_5151),
inference(subst,[],[refute_0_233:[bind(X_5149,$fot(X_5151)),bind(X_5150,$fot(X_5152))]]) ).
cnf(refute_0_235,plain,
cyclic(X_5151,X_5151,X_5152,X_5151),
inference(resolve,[$cnf( cyclic(X_5151,X_5152,X_5151,X_5151) )],[refute_0_234,refute_0_18]) ).
cnf(refute_0_236,plain,
cyclic(X_5153,X_5153,X_5154,X_5153),
inference(subst,[],[refute_0_235:[bind(X_5151,$fot(X_5153)),bind(X_5152,$fot(X_5154))]]) ).
cnf(refute_0_237,plain,
cyclic(X_5153,X_5153,X_5153,X_5154),
inference(resolve,[$cnf( cyclic(X_5153,X_5153,X_5154,X_5153) )],[refute_0_236,refute_0_16]) ).
cnf(refute_0_238,plain,
cyclic(X_5155,X_5155,X_5155,X_5156),
inference(subst,[],[refute_0_237:[bind(X_5153,$fot(X_5155)),bind(X_5154,$fot(X_5156))]]) ).
cnf(refute_0_239,plain,
cyclic(X_5155,X_5155,X_5156,X_5156),
inference(resolve,[$cnf( cyclic(X_5155,X_5155,X_5155,X_5156) )],[refute_0_238,refute_0_14]) ).
cnf(refute_0_240,plain,
cyclic(X_5157,X_5157,X_5158,X_5158),
inference(subst,[],[refute_0_239:[bind(X_5155,$fot(X_5157)),bind(X_5156,$fot(X_5158))]]) ).
cnf(refute_0_241,plain,
( ~ cong(X_5157,X_5158,X_5157,X_5158)
| perp(X_5158,X_5157,X_5157,X_5158) ),
inference(resolve,[$cnf( cyclic(X_5157,X_5157,X_5158,X_5158) )],[refute_0_240,refute_0_12]) ).
cnf(refute_0_242,plain,
( ~ midp(X_1629,X_1628,X_1628)
| cong(X_1629,X_1628,X_1629,X_1628) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_1629)),bind(B,$fot(X_1628)),bind(C,$fot(X_1628))]]) ).
cnf(refute_0_243,plain,
( ~ midp(X_1627,skolemFOFtoCNF_E,skolemFOFtoCNF_E)
| midp(X_1627,X_1502,X_1502) ),
inference(subst,[],[refute_0_71:[bind(X_1501,$fot(skolemFOFtoCNF_E)),bind(X_1503,$fot(X_1627))]]) ).
cnf(refute_0_244,plain,
( ~ coll(X_1626,skolemFOFtoCNF_E,skolemFOFtoCNF_E)
| ~ cong(X_1626,skolemFOFtoCNF_E,X_1626,skolemFOFtoCNF_E)
| midp(X_1626,skolemFOFtoCNF_E,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_1626)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_245,plain,
( ~ cong(X_1625,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1625)
| cong(X_1625,skolemFOFtoCNF_E,X_1625,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_1625)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_1625))]]) ).
cnf(refute_0_246,plain,
( ~ cong(skolemFOFtoCNF_E,X_1619,X_1619,skolemFOFtoCNF_E)
| cong(X_1619,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1619) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(X_1619)),bind(C,$fot(X_1619)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_247,plain,
( ~ cong(skolemFOFtoCNF_E,X_1617,skolemFOFtoCNF_E,X_1617)
| cong(skolemFOFtoCNF_E,X_1617,X_1617,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(X_1617)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_1617))]]) ).
cnf(refute_0_248,plain,
( ~ midp(skolemFOFtoCNF_E,X_1615,X_1615)
| cong(skolemFOFtoCNF_E,X_1615,skolemFOFtoCNF_E,X_1615) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(X_1615)),bind(C,$fot(X_1615))]]) ).
cnf(refute_0_249,plain,
cong(skolemFOFtoCNF_E,X_1615,skolemFOFtoCNF_E,X_1615),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_E,X_1615,X_1615) )],[refute_0_226,refute_0_248]) ).
cnf(refute_0_250,plain,
cong(skolemFOFtoCNF_E,X_1617,skolemFOFtoCNF_E,X_1617),
inference(subst,[],[refute_0_249:[bind(X_1615,$fot(X_1617))]]) ).
cnf(refute_0_251,plain,
cong(skolemFOFtoCNF_E,X_1617,X_1617,skolemFOFtoCNF_E),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_E,X_1617,skolemFOFtoCNF_E,X_1617) )],[refute_0_250,refute_0_247]) ).
cnf(refute_0_252,plain,
cong(skolemFOFtoCNF_E,X_1619,X_1619,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_251:[bind(X_1617,$fot(X_1619))]]) ).
cnf(refute_0_253,plain,
cong(X_1619,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1619),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_E,X_1619,X_1619,skolemFOFtoCNF_E) )],[refute_0_252,refute_0_246]) ).
cnf(refute_0_254,plain,
cong(X_1625,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1625),
inference(subst,[],[refute_0_253:[bind(X_1619,$fot(X_1625))]]) ).
cnf(refute_0_255,plain,
cong(X_1625,skolemFOFtoCNF_E,X_1625,skolemFOFtoCNF_E),
inference(resolve,[$cnf( cong(X_1625,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1625) )],[refute_0_254,refute_0_245]) ).
cnf(refute_0_256,plain,
cong(X_1626,skolemFOFtoCNF_E,X_1626,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_255:[bind(X_1625,$fot(X_1626))]]) ).
cnf(refute_0_257,plain,
( ~ coll(X_1626,skolemFOFtoCNF_E,skolemFOFtoCNF_E)
| midp(X_1626,skolemFOFtoCNF_E,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( cong(X_1626,skolemFOFtoCNF_E,X_1626,skolemFOFtoCNF_E) )],[refute_0_256,refute_0_244]) ).
cnf(refute_0_258,plain,
coll(X_1626,skolemFOFtoCNF_E,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_214:[bind(C,$fot(X_1626)),bind(X_1492,$fot(skolemFOFtoCNF_E)),bind(X_1493,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_259,plain,
midp(X_1626,skolemFOFtoCNF_E,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(X_1626,skolemFOFtoCNF_E,skolemFOFtoCNF_E) )],[refute_0_258,refute_0_257]) ).
cnf(refute_0_260,plain,
midp(X_1627,skolemFOFtoCNF_E,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_259:[bind(X_1626,$fot(X_1627))]]) ).
cnf(refute_0_261,plain,
midp(X_1627,X_1502,X_1502),
inference(resolve,[$cnf( midp(X_1627,skolemFOFtoCNF_E,skolemFOFtoCNF_E) )],[refute_0_260,refute_0_243]) ).
cnf(refute_0_262,plain,
midp(X_1629,X_1628,X_1628),
inference(subst,[],[refute_0_261:[bind(X_1502,$fot(X_1628)),bind(X_1627,$fot(X_1629))]]) ).
cnf(refute_0_263,plain,
cong(X_1629,X_1628,X_1629,X_1628),
inference(resolve,[$cnf( midp(X_1629,X_1628,X_1628) )],[refute_0_262,refute_0_242]) ).
cnf(refute_0_264,plain,
cong(X_5157,X_5158,X_5157,X_5158),
inference(subst,[],[refute_0_263:[bind(X_1628,$fot(X_5158)),bind(X_1629,$fot(X_5157))]]) ).
cnf(refute_0_265,plain,
perp(X_5158,X_5157,X_5157,X_5158),
inference(resolve,[$cnf( cong(X_5157,X_5158,X_5157,X_5158) )],[refute_0_264,refute_0_241]) ).
cnf(refute_0_266,plain,
perp(X_5160,X_5159,X_5159,X_5160),
inference(subst,[],[refute_0_265:[bind(X_5157,$fot(X_5159)),bind(X_5158,$fot(X_5160))]]) ).
cnf(refute_0_267,plain,
( ~ midp(M,X_5160,X_5160)
| cong(X_5160,M,X_5159,M) ),
inference(resolve,[$cnf( perp(X_5160,X_5159,X_5159,X_5160) )],[refute_0_266,refute_0_10]) ).
cnf(refute_0_268,plain,
midp(M,X_5160,X_5160),
inference(subst,[],[refute_0_261:[bind(X_1502,$fot(X_5160)),bind(X_1627,$fot(M))]]) ).
cnf(refute_0_269,plain,
cong(X_5160,M,X_5159,M),
inference(resolve,[$cnf( midp(M,X_5160,X_5160) )],[refute_0_268,refute_0_267]) ).
cnf(refute_0_270,plain,
cong(X_5179,X_5177,X_5178,X_5177),
inference(subst,[],[refute_0_269:[bind(M,$fot(X_5177)),bind(X_5159,$fot(X_5178)),bind(X_5160,$fot(X_5179))]]) ).
cnf(refute_0_271,plain,
cong(X_5179,X_5177,X_5177,X_5178),
inference(resolve,[$cnf( cong(X_5179,X_5177,X_5178,X_5177) )],[refute_0_270,refute_0_8]) ).
cnf(refute_0_272,plain,
cong(X_5182,X_5180,X_5180,X_5181),
inference(subst,[],[refute_0_271:[bind(X_5177,$fot(X_5180)),bind(X_5178,$fot(X_5181)),bind(X_5179,$fot(X_5182))]]) ).
cnf(refute_0_273,plain,
cong(X_5180,X_5181,X_5182,X_5180),
inference(resolve,[$cnf( cong(X_5182,X_5180,X_5180,X_5181) )],[refute_0_272,refute_0_7]) ).
cnf(refute_0_274,plain,
cong(X_5203,X_5204,X_5205,X_5203),
inference(subst,[],[refute_0_273:[bind(X_5180,$fot(X_5203)),bind(X_5181,$fot(X_5204)),bind(X_5182,$fot(X_5205))]]) ).
cnf(refute_0_275,plain,
cong(X_5203,X_5204,X_5203,X_5205),
inference(resolve,[$cnf( cong(X_5203,X_5204,X_5205,X_5203) )],[refute_0_274,refute_0_5]) ).
cnf(refute_0_276,plain,
cong(X_5229,X_5230,X_5229,X_5231),
inference(subst,[],[refute_0_275:[bind(X_5203,$fot(X_5229)),bind(X_5204,$fot(X_5230)),bind(X_5205,$fot(X_5231))]]) ).
cnf(refute_0_277,plain,
( ~ coll(X_5229,X_5230,X_5231)
| midp(X_5229,X_5230,X_5231) ),
inference(resolve,[$cnf( cong(X_5229,X_5230,X_5229,X_5231) )],[refute_0_276,refute_0_3]) ).
cnf(refute_0_278,plain,
coll(X_5229,X_5230,X_5231),
inference(subst,[],[refute_0_214:[bind(C,$fot(X_5229)),bind(X_1492,$fot(X_5231)),bind(X_1493,$fot(X_5230))]]) ).
cnf(refute_0_279,plain,
midp(X_5229,X_5230,X_5231),
inference(resolve,[$cnf( coll(X_5229,X_5230,X_5231) )],[refute_0_278,refute_0_277]) ).
cnf(refute_0_280,plain,
midp(E,A,B),
inference(subst,[],[refute_0_279:[bind(X_5229,$fot(E)),bind(X_5230,$fot(A)),bind(X_5231,$fot(B))]]) ).
cnf(refute_0_281,plain,
( ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(resolve,[$cnf( midp(E,A,B) )],[refute_0_280,refute_0_1]) ).
cnf(refute_0_282,plain,
midp(F,A,C),
inference(subst,[],[refute_0_279:[bind(X_5229,$fot(F)),bind(X_5230,$fot(A)),bind(X_5231,$fot(C))]]) ).
cnf(refute_0_283,plain,
para(E,F,B,C),
inference(resolve,[$cnf( midp(F,A,C) )],[refute_0_282,refute_0_281]) ).
cnf(refute_0_284,plain,
para(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_283:[bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_H)),bind(E,$fot(skolemFOFtoCNF_E)),bind(F,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_285,plain,
$false,
inference(resolve,[$cnf( para(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_284,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO646+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.35 % Computer : n022.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 600
% 0.12/0.35 % DateTime : Sat Jun 18 16:25:02 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 72.83/73.05 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 72.83/73.05
% 72.83/73.05 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 72.83/73.08
%------------------------------------------------------------------------------