%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO644+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 05:28:01 EDT 2022
% Result : Theorem 66.54s 66.77s
% Output : CNFRefutation 66.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 94
% Number of leaves : 30
% Syntax : Number of formulae : 517 ( 226 unt; 0 def)
% Number of atoms : 966 ( 0 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 806 ( 357 ~; 352 |; 65 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 1006 ( 185 sgn 424 !; 20 ?)
% 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(ruleD52,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ) ).
fof(ruleD53,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(ruleX10,axiom,
! [A,B,C,H] :
? [P,Q] :
( ( perp(A,H,B,C)
& perp(B,H,A,C) )
=> ( coll(P,C,B)
& perp(A,P,C,B)
& coll(Q,C,A)
& perp(B,Q,C,A) ) ) ).
fof(ruleX11,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ) ).
fof(exemplo6GDDFULLmoreE0061,conjecture,
! [A,B,C,D,E,F,G,H] :
( ( para(B,C,A,D)
& para(A,B,C,D)
& midp(E,C,D)
& midp(F,B,A)
& coll(G,A,C)
& coll(G,D,F)
& coll(H,B,E)
& coll(H,A,C) )
=> cong(A,G,G,H) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E,F,G,H] :
( ( para(B,C,A,D)
& para(A,B,C,D)
& midp(E,C,D)
& midp(F,B,A)
& coll(G,A,C)
& coll(G,D,F)
& coll(H,B,E)
& coll(H,A,C) )
=> cong(A,G,G,H) ),
inference(strip,[],[exemplo6GDDFULLmoreE0061]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E,F,G,H] :
( ( para(B,C,A,D)
& para(A,B,C,D)
& midp(E,C,D)
& midp(F,B,A)
& coll(G,A,C)
& coll(G,D,F)
& coll(H,B,E)
& coll(H,A,C) )
=> cong(A,G,G,H) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F,G,H] :
( ~ cong(A,G,G,H)
& coll(G,A,C)
& coll(G,D,F)
& coll(H,A,C)
& coll(H,B,E)
& midp(E,C,D)
& midp(F,B,A)
& para(A,B,C,D)
& para(B,C,A,D) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_H)
& coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F)
& coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
& midp(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
& midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
& para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
& para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_H),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_4,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,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_6,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,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_8,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_7]) ).
fof(normalize_0_9,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_10,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_9]) ).
fof(normalize_0_11,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_12,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_14,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_16,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,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_18,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_17]) ).
fof(normalize_0_19,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_20,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,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_22,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_21]) ).
fof(normalize_0_23,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_22]) ).
fof(normalize_0_24,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_25,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_24]) ).
fof(normalize_0_26,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_25]) ).
fof(normalize_0_27,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_28,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_30,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_31,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,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_33,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,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_35,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_34]) ).
fof(normalize_0_36,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_35]) ).
fof(normalize_0_37,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_38,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_37]) ).
fof(normalize_0_39,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_40,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_39]) ).
fof(normalize_0_41,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_42,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_41]) ).
fof(normalize_0_43,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_44,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_43]) ).
fof(normalize_0_45,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_46,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_45]) ).
fof(normalize_0_47,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_48,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_47]) ).
fof(normalize_0_49,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_50,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_49]) ).
fof(normalize_0_51,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_52,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_51]) ).
fof(normalize_0_53,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_54,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_53]) ).
fof(normalize_0_55,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_56,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_55]) ).
fof(normalize_0_57,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_58,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_57]) ).
fof(normalize_0_59,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_60,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_59]) ).
fof(normalize_0_61,plain,
midp(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_62,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(canonicalize,[],[ruleX11]) ).
fof(normalize_0_63,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(specialize,[],[normalize_0_62]) ).
fof(normalize_0_64,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(clausify,[],[normalize_0_63]) ).
fof(normalize_0_65,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| ? [P,Q] :
( coll(P,C,B)
& coll(Q,C,A)
& perp(A,P,C,B)
& perp(B,Q,C,A) ) ),
inference(canonicalize,[],[ruleX10]) ).
fof(normalize_0_66,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| ? [P,Q] :
( coll(P,C,B)
& coll(Q,C,A)
& perp(A,P,C,B)
& perp(B,Q,C,A) ) ),
inference(specialize,[],[normalize_0_65]) ).
fof(normalize_0_67,plain,
! [A,B,C,H] :
( ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(B,skolemFOFtoCNF_Q_1(A,B,C),C,A) ) ),
inference(clausify,[],[normalize_0_66]) ).
fof(normalize_0_68,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(conjunct,[],[normalize_0_67]) ).
fof(normalize_0_69,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_70,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_H),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ cong(X_10298,X_10296,X_10297,X_10296)
| cong(X_10298,X_10296,X_10296,X_10297) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_10298)),bind(B,$fot(X_10296)),bind(C,$fot(X_10297)),bind(D,$fot(X_10296))]]) ).
cnf(refute_0_3,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ midp(M,X_10279,X_10279)
| ~ perp(X_10279,X_10278,X_10278,X_10279)
| cong(X_10279,M,X_10278,M) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_10279)),bind(B,$fot(X_10278)),bind(C,$fot(X_10279))]]) ).
cnf(refute_0_5,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
( ~ cong(X_10276,X_10277,X_10276,X_10277)
| ~ cyclic(X_10276,X_10276,X_10277,X_10277)
| perp(X_10277,X_10276,X_10276,X_10277) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_10276)),bind(B,$fot(X_10276)),bind(P,$fot(X_10277)),bind(Q,$fot(X_10277))]]) ).
cnf(refute_0_7,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ cyclic(X_10274,X_10274,X_10274,X_10275)
| cyclic(X_10274,X_10274,X_10275,X_10275) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_10274)),bind(B,$fot(X_10274)),bind(C,$fot(X_10274)),bind(D,$fot(X_10275)),bind(E,$fot(X_10275))]]) ).
cnf(refute_0_9,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ cyclic(X_10272,X_10272,X_10273,X_10272)
| cyclic(X_10272,X_10272,X_10272,X_10273) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_10272)),bind(B,$fot(X_10272)),bind(C,$fot(X_10273)),bind(D,$fot(X_10272))]]) ).
cnf(refute_0_11,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_12,plain,
( ~ cyclic(X_10270,X_10271,X_10270,X_10270)
| cyclic(X_10270,X_10270,X_10271,X_10270) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_10270)),bind(B,$fot(X_10271)),bind(C,$fot(X_10270)),bind(D,$fot(X_10270))]]) ).
cnf(refute_0_13,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_14,plain,
( ~ cyclic(X_10269,X_10268,X_10268,X_10268)
| cyclic(X_10268,X_10269,X_10268,X_10268) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_10269)),bind(B,$fot(X_10268)),bind(C,$fot(X_10268)),bind(D,$fot(X_10268))]]) ).
cnf(refute_0_15,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_18]) ).
cnf(refute_0_16,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_10267,X_10266),X_10267,skolemFOFtoCNF_P_1(X_10267,X_10266),X_10266)
| cyclic(X_10267,X_10266,X_10266,X_10266) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_10267)),bind(B,$fot(X_10266)),bind(C,$fot(X_10266)),bind(D,$fot(X_10266)),bind(O,$fot(skolemFOFtoCNF_P_1(X_10267,X_10266)))]]) ).
cnf(refute_0_17,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_18,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_5262,X_5261),X_5262,X_5261)
| cong(skolemFOFtoCNF_P_1(X_5262,X_5261),X_5262,skolemFOFtoCNF_P_1(X_5262,X_5261),X_5261) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(skolemFOFtoCNF_P_1(X_5262,X_5261))),bind(B,$fot(X_5262)),bind(C,$fot(X_5261))]]) ).
cnf(refute_0_19,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_23]) ).
cnf(refute_0_20,plain,
( ~ coll(X_5253,X_5253,X_5253)
| ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F),X_5253,X_5253)
| midp(skolemFOFtoCNF_P_1(X_5253,Q),X_5253,Q) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_5253)),bind(B,$fot(X_5253)),bind(C,$fot(X_5253)),bind(D,$fot(X_5253)),bind(M,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F))),bind(N,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_21,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_22,plain,
( ~ eqangle(X_511,X_512,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_511,X_512,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_511,X_512,X_511,X_512) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_511)),bind(B,$fot(X_512)),bind(C,$fot(X_511)),bind(D,$fot(X_512)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_23,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_24,plain,
( ~ cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_25,plain,
( ~ cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_26,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_27,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_28,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_29,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_30,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_31,plain,
( ~ cong(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_32,plain,
( ~ cong(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_33,plain,
midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_34,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_35,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_34:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_36,plain,
midp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_33,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_38,plain,
cong(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
cong(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) )],[refute_0_38,refute_0_32]) ).
cnf(refute_0_40,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_39,refute_0_31]) ).
cnf(refute_0_41,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_40,refute_0_30]) ).
cnf(refute_0_42,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_41,refute_0_29]) ).
cnf(refute_0_43,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_42,refute_0_28]) ).
cnf(refute_0_44,plain,
cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) )],[refute_0_43,refute_0_27]) ).
cnf(refute_0_45,plain,
cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_44,refute_0_25]) ).
cnf(refute_0_46,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_45,refute_0_24]) ).
cnf(refute_0_47,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_46,refute_0_23]) ).
cnf(refute_0_48,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_49,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_48:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_50,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_47,refute_0_49]) ).
cnf(refute_0_51,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_21:[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_52,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_54,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154) ),
inference(subst,[],[refute_0_53:[bind(A,$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,$fot(X_154))]]) ).
cnf(refute_0_55,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_52,refute_0_54]) ).
cnf(refute_0_56,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_509,X_510,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_509,X_510),
inference(subst,[],[refute_0_55:[bind(X_153,$fot(X_509)),bind(X_154,$fot(X_510))]]) ).
cnf(refute_0_57,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_58,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_509,X_510,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_509,X_510)
| eqangle(X_509,X_510,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_509,X_510,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_57:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_509)),bind(D,$fot(X_510)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_509)),bind(V,$fot(X_510))]]) ).
cnf(refute_0_59,plain,
eqangle(X_509,X_510,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_509,X_510,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_509,X_510,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_509,X_510) )],[refute_0_56,refute_0_58]) ).
cnf(refute_0_60,plain,
eqangle(X_511,X_512,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_511,X_512,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_59:[bind(X_509,$fot(X_511)),bind(X_510,$fot(X_512))]]) ).
cnf(refute_0_61,plain,
para(X_511,X_512,X_511,X_512),
inference(resolve,[$cnf( eqangle(X_511,X_512,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_511,X_512,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_60,refute_0_22]) ).
cnf(refute_0_62,plain,
para(X_4249,X_4250,X_4249,X_4250),
inference(subst,[],[refute_0_61:[bind(X_511,$fot(X_4249)),bind(X_512,$fot(X_4250))]]) ).
cnf(refute_0_63,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_64,plain,
( ~ midp(X_4251,X_4249,X_4249)
| ~ para(X_4249,X_4250,X_4249,X_4250)
| midp(X_4251,X_4250,X_4250) ),
inference(subst,[],[refute_0_63:[bind(A,$fot(X_4249)),bind(B,$fot(X_4249)),bind(C,$fot(X_4250)),bind(D,$fot(X_4250)),bind(M,$fot(X_4251))]]) ).
cnf(refute_0_65,plain,
( ~ midp(X_4251,X_4249,X_4249)
| midp(X_4251,X_4250,X_4250) ),
inference(resolve,[$cnf( para(X_4249,X_4250,X_4249,X_4250) )],[refute_0_62,refute_0_64]) ).
cnf(refute_0_66,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_F)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F),X_4250,X_4250) ),
inference(subst,[],[refute_0_65:[bind(X_4249,$fot(skolemFOFtoCNF_F)),bind(X_4251,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_67,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_F)
| ~ midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_F,Q),skolemFOFtoCNF_F,Q) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F)),bind(M,$fot(skolemFOFtoCNF_B_1)),bind(N,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_68,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_69,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_68:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_70,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_71,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_72,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_73,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_74,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_75,plain,
( ~ cong(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
| circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_76,plain,
circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) )],[refute_0_38,refute_0_75]) ).
cnf(refute_0_77,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_78,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_79,plain,
( ~ coll(X_3012,skolemFOFtoCNF_B_1,C)
| ~ coll(X_3012,skolemFOFtoCNF_B_1,X_3013)
| coll(C,X_3013,X_3012) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_3012)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3013))]]) ).
cnf(refute_0_80,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_81,plain,
( ~ coll(X_2984,X_2985,skolemFOFtoCNF_B_1)
| coll(X_2984,skolemFOFtoCNF_B_1,X_2985) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(X_2984)),bind(B,$fot(X_2985)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_82,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,C)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,X_2869)
| coll(C,X_2869,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_2869))]]) ).
cnf(refute_0_83,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_2862,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,X_2862) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2862)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_84,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_85,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_86,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_87,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_88,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_89,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_33,refute_0_88]) ).
cnf(refute_0_90,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_89,refute_0_86]) ).
cnf(refute_0_91,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_90,refute_0_84]) ).
cnf(refute_0_92,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_93,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_2861)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_2861,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_2861))]]) ).
cnf(refute_0_95,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_2861)
| coll(skolemFOFtoCNF_B_1,X_2861,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
( ~ coll(X_521,X_520,X_521)
| coll(X_521,X_521,X_520) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(X_521)),bind(B,$fot(X_520)),bind(C,$fot(X_521))]]) ).
cnf(refute_0_97,plain,
( ~ coll(X_518,X_519,X_519)
| coll(X_519,X_518,X_519) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(X_518)),bind(B,$fot(X_519)),bind(C,$fot(X_519))]]) ).
cnf(refute_0_98,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_99,plain,
( ~ para(X_513,X_514,X_513,X_514)
| coll(X_513,X_514,X_514) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(X_513)),bind(B,$fot(X_514)),bind(C,$fot(X_514))]]) ).
cnf(refute_0_100,plain,
para(X_513,X_514,X_513,X_514),
inference(subst,[],[refute_0_61:[bind(X_511,$fot(X_513)),bind(X_512,$fot(X_514))]]) ).
cnf(refute_0_101,plain,
coll(X_513,X_514,X_514),
inference(resolve,[$cnf( para(X_513,X_514,X_513,X_514) )],[refute_0_100,refute_0_99]) ).
cnf(refute_0_102,plain,
coll(X_518,X_519,X_519),
inference(subst,[],[refute_0_101:[bind(X_513,$fot(X_518)),bind(X_514,$fot(X_519))]]) ).
cnf(refute_0_103,plain,
coll(X_519,X_518,X_519),
inference(resolve,[$cnf( coll(X_518,X_519,X_519) )],[refute_0_102,refute_0_97]) ).
cnf(refute_0_104,plain,
coll(X_521,X_520,X_521),
inference(subst,[],[refute_0_103:[bind(X_518,$fot(X_520)),bind(X_519,$fot(X_521))]]) ).
cnf(refute_0_105,plain,
coll(X_521,X_521,X_520),
inference(resolve,[$cnf( coll(X_521,X_520,X_521) )],[refute_0_104,refute_0_96]) ).
cnf(refute_0_106,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_2861),
inference(subst,[],[refute_0_105:[bind(X_520,$fot(X_2861)),bind(X_521,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_107,plain,
coll(skolemFOFtoCNF_B_1,X_2861,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_2861) )],[refute_0_106,refute_0_95]) ).
cnf(refute_0_108,plain,
coll(skolemFOFtoCNF_B_1,X_2862,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_107:[bind(X_2861,$fot(X_2862))]]) ).
cnf(refute_0_109,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,X_2862),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_2862,skolemFOFtoCNF_F) )],[refute_0_108,refute_0_83]) ).
cnf(refute_0_110,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,X_2869),
inference(subst,[],[refute_0_109:[bind(X_2862,$fot(X_2869))]]) ).
cnf(refute_0_111,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,C)
| coll(C,X_2869,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,X_2869) )],[refute_0_110,refute_0_82]) ).
cnf(refute_0_112,plain,
coll(X_2859,X_2859,X_2860),
inference(subst,[],[refute_0_105:[bind(X_520,$fot(X_2860)),bind(X_521,$fot(X_2859))]]) ).
cnf(refute_0_113,plain,
( ~ coll(X_2859,X_2859,X_2860)
| ~ coll(X_2859,X_2859,X_2861)
| coll(X_2860,X_2861,X_2859) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_2859)),bind(B,$fot(X_2859)),bind(C,$fot(X_2860)),bind(D,$fot(X_2861))]]) ).
cnf(refute_0_114,plain,
( ~ coll(X_2859,X_2859,X_2861)
| coll(X_2860,X_2861,X_2859) ),
inference(resolve,[$cnf( coll(X_2859,X_2859,X_2860) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
coll(X_2859,X_2859,X_2861),
inference(subst,[],[refute_0_105:[bind(X_520,$fot(X_2861)),bind(X_521,$fot(X_2859))]]) ).
cnf(refute_0_116,plain,
coll(X_2860,X_2861,X_2859),
inference(resolve,[$cnf( coll(X_2859,X_2859,X_2861) )],[refute_0_115,refute_0_114]) ).
cnf(refute_0_117,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_116:[bind(X_2859,$fot(C)),bind(X_2860,$fot(skolemFOFtoCNF_B_1)),bind(X_2861,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_118,plain,
coll(C,X_2869,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,C) )],[refute_0_117,refute_0_111]) ).
cnf(refute_0_119,plain,
coll(X_2984,X_2985,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_118:[bind(C,$fot(X_2984)),bind(X_2869,$fot(X_2985))]]) ).
cnf(refute_0_120,plain,
coll(X_2984,skolemFOFtoCNF_B_1,X_2985),
inference(resolve,[$cnf( coll(X_2984,X_2985,skolemFOFtoCNF_B_1) )],[refute_0_119,refute_0_81]) ).
cnf(refute_0_121,plain,
coll(X_3012,skolemFOFtoCNF_B_1,X_3013),
inference(subst,[],[refute_0_120:[bind(X_2984,$fot(X_3012)),bind(X_2985,$fot(X_3013))]]) ).
cnf(refute_0_122,plain,
( ~ coll(X_3012,skolemFOFtoCNF_B_1,C)
| coll(C,X_3013,X_3012) ),
inference(resolve,[$cnf( coll(X_3012,skolemFOFtoCNF_B_1,X_3013) )],[refute_0_121,refute_0_79]) ).
cnf(refute_0_123,plain,
( ~ coll(X_3004,skolemFOFtoCNF_D,C)
| ~ coll(X_3004,skolemFOFtoCNF_D,X_3005)
| coll(C,X_3005,X_3004) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_3004)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_3005))]]) ).
cnf(refute_0_124,plain,
( ~ coll(X_2979,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),C)
| ~ coll(X_2979,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_D)
| coll(C,skolemFOFtoCNF_D,X_2979) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_2979)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E))),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_125,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),X_2961,skolemFOFtoCNF_D)
| coll(X_2961,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E))),bind(B,$fot(X_2961)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_126,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E)),skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E))),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E)))),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_127,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E)),skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E)))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E))),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_128,plain,
( ~ perp(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_D)
| perp(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E))),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_129,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_E)
| perp(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E))),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_130,plain,
( ~ cong(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| circle(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_131,plain,
midp(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_132,plain,
( ~ midp(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| midp(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_34:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_133,plain,
midp(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
( ~ midp(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_135,plain,
cong(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
circle(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_135,refute_0_130]) ).
cnf(refute_0_137,plain,
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_138,plain,
( ~ circle(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_137:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_139,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_E),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_136,refute_0_138]) ).
cnf(refute_0_140,plain,
perp(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_D),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_E) )],[refute_0_139,refute_0_129]) ).
cnf(refute_0_141,plain,
perp(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_D) )],[refute_0_140,refute_0_128]) ).
cnf(refute_0_142,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_143,plain,
( ~ perp(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E))
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_142:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E))),bind(H,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_144,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_D),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E)) )],[refute_0_141,refute_0_143]) ).
cnf(refute_0_145,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E)),skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_D) )],[refute_0_144,refute_0_127]) ).
cnf(refute_0_146,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E)),skolemFOFtoCNF_D) )],[refute_0_145,refute_0_126]) ).
cnf(refute_0_147,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_2861)
| ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E))
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),X_2861,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E))),bind(D,$fot(X_2861))]]) ).
cnf(refute_0_148,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_2861)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),X_2861,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E)) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_2861),
inference(subst,[],[refute_0_105:[bind(X_520,$fot(X_2861)),bind(X_521,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_150,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),X_2861,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_2861) )],[refute_0_149,refute_0_148]) ).
cnf(refute_0_151,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),X_2961,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_150:[bind(X_2861,$fot(X_2961))]]) ).
cnf(refute_0_152,plain,
coll(X_2961,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),X_2961,skolemFOFtoCNF_D) )],[refute_0_151,refute_0_125]) ).
cnf(refute_0_153,plain,
coll(X_2979,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_D),
inference(subst,[],[refute_0_152:[bind(X_2961,$fot(X_2979))]]) ).
cnf(refute_0_154,plain,
( ~ coll(X_2979,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),C)
| coll(C,skolemFOFtoCNF_D,X_2979) ),
inference(resolve,[$cnf( coll(X_2979,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),skolemFOFtoCNF_D) )],[refute_0_153,refute_0_124]) ).
cnf(refute_0_155,plain,
( ~ coll(X_2974,skolemFOFtoCNF_F,C)
| ~ coll(X_2974,skolemFOFtoCNF_F,X_2975)
| coll(C,X_2975,X_2974) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_2974)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_2975))]]) ).
cnf(refute_0_156,plain,
( ~ coll(X_2909,skolemFOFtoCNF_A,C)
| ~ coll(X_2909,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| coll(C,skolemFOFtoCNF_F,X_2909) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_2909)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_157,plain,
( ~ coll(skolemFOFtoCNF_A,X_2908,skolemFOFtoCNF_F)
| coll(X_2908,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_2908)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_158,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_159,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_91,refute_0_158]) ).
cnf(refute_0_160,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_161,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_2861)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_2861,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_2861))]]) ).
cnf(refute_0_163,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_2861)
| coll(skolemFOFtoCNF_A,X_2861,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
coll(skolemFOFtoCNF_A,X_2861,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_2861) )],[refute_0_106,refute_0_163]) ).
cnf(refute_0_165,plain,
coll(skolemFOFtoCNF_A,X_2908,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_164:[bind(X_2861,$fot(X_2908))]]) ).
cnf(refute_0_166,plain,
coll(X_2908,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_2908,skolemFOFtoCNF_F) )],[refute_0_165,refute_0_157]) ).
cnf(refute_0_167,plain,
coll(X_2909,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_166:[bind(X_2908,$fot(X_2909))]]) ).
cnf(refute_0_168,plain,
( ~ coll(X_2909,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_F,X_2909) ),
inference(resolve,[$cnf( coll(X_2909,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_167,refute_0_156]) ).
cnf(refute_0_169,plain,
coll(X_2909,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_116:[bind(X_2859,$fot(C)),bind(X_2860,$fot(X_2909)),bind(X_2861,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_170,plain,
coll(C,skolemFOFtoCNF_F,X_2909),
inference(resolve,[$cnf( coll(X_2909,skolemFOFtoCNF_A,C) )],[refute_0_169,refute_0_168]) ).
cnf(refute_0_171,plain,
coll(X_2974,skolemFOFtoCNF_F,X_2975),
inference(subst,[],[refute_0_170:[bind(C,$fot(X_2974)),bind(X_2909,$fot(X_2975))]]) ).
cnf(refute_0_172,plain,
( ~ coll(X_2974,skolemFOFtoCNF_F,C)
| coll(C,X_2975,X_2974) ),
inference(resolve,[$cnf( coll(X_2974,skolemFOFtoCNF_F,X_2975) )],[refute_0_171,refute_0_155]) ).
cnf(refute_0_173,plain,
coll(X_2974,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_116:[bind(X_2859,$fot(C)),bind(X_2860,$fot(X_2974)),bind(X_2861,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_174,plain,
coll(C,X_2975,X_2974),
inference(resolve,[$cnf( coll(X_2974,skolemFOFtoCNF_F,C) )],[refute_0_173,refute_0_172]) ).
cnf(refute_0_175,plain,
coll(X_2979,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),C),
inference(subst,[],[refute_0_174:[bind(C,$fot(X_2979)),bind(X_2974,$fot(C)),bind(X_2975,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_176,plain,
coll(C,skolemFOFtoCNF_D,X_2979),
inference(resolve,[$cnf( coll(X_2979,skolemFOFtoCNF_P_4(skolemFOFtoCNF_D,skolemFOFtoCNF_E),C) )],[refute_0_175,refute_0_154]) ).
cnf(refute_0_177,plain,
coll(X_3004,skolemFOFtoCNF_D,X_3005),
inference(subst,[],[refute_0_176:[bind(C,$fot(X_3004)),bind(X_2979,$fot(X_3005))]]) ).
cnf(refute_0_178,plain,
( ~ coll(X_3004,skolemFOFtoCNF_D,C)
| coll(C,X_3005,X_3004) ),
inference(resolve,[$cnf( coll(X_3004,skolemFOFtoCNF_D,X_3005) )],[refute_0_177,refute_0_123]) ).
cnf(refute_0_179,plain,
( ~ coll(X_2999,skolemFOFtoCNF_G,C)
| ~ coll(X_2999,skolemFOFtoCNF_G,X_3000)
| coll(C,X_3000,X_2999) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_2999)),bind(B,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_3000))]]) ).
cnf(refute_0_180,plain,
( ~ coll(X_2870,skolemFOFtoCNF_D,C)
| ~ coll(X_2870,skolemFOFtoCNF_D,skolemFOFtoCNF_G)
| coll(C,skolemFOFtoCNF_G,X_2870) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_2870)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_181,plain,
( ~ coll(skolemFOFtoCNF_D,X_2867,skolemFOFtoCNF_G)
| coll(X_2867,skolemFOFtoCNF_D,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_2867)),bind(C,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_182,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_183,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_184,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_185,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_F) )],[refute_0_185,refute_0_182]) ).
cnf(refute_0_187,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_188,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_G) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_2861)
| ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,X_2861,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_2861))]]) ).
cnf(refute_0_190,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_2861)
| coll(skolemFOFtoCNF_D,X_2861,skolemFOFtoCNF_G) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_D) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_2861),
inference(subst,[],[refute_0_105:[bind(X_520,$fot(X_2861)),bind(X_521,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_192,plain,
coll(skolemFOFtoCNF_D,X_2861,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_2861) )],[refute_0_191,refute_0_190]) ).
cnf(refute_0_193,plain,
coll(skolemFOFtoCNF_D,X_2867,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_192:[bind(X_2861,$fot(X_2867))]]) ).
cnf(refute_0_194,plain,
coll(X_2867,skolemFOFtoCNF_D,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_2867,skolemFOFtoCNF_G) )],[refute_0_193,refute_0_181]) ).
cnf(refute_0_195,plain,
coll(X_2870,skolemFOFtoCNF_D,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_194:[bind(X_2867,$fot(X_2870))]]) ).
cnf(refute_0_196,plain,
( ~ coll(X_2870,skolemFOFtoCNF_D,C)
| coll(C,skolemFOFtoCNF_G,X_2870) ),
inference(resolve,[$cnf( coll(X_2870,skolemFOFtoCNF_D,skolemFOFtoCNF_G) )],[refute_0_195,refute_0_180]) ).
cnf(refute_0_197,plain,
coll(X_2870,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_116:[bind(X_2859,$fot(C)),bind(X_2860,$fot(X_2870)),bind(X_2861,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_198,plain,
coll(C,skolemFOFtoCNF_G,X_2870),
inference(resolve,[$cnf( coll(X_2870,skolemFOFtoCNF_D,C) )],[refute_0_197,refute_0_196]) ).
cnf(refute_0_199,plain,
coll(X_2999,skolemFOFtoCNF_G,X_3000),
inference(subst,[],[refute_0_198:[bind(C,$fot(X_2999)),bind(X_2870,$fot(X_3000))]]) ).
cnf(refute_0_200,plain,
( ~ coll(X_2999,skolemFOFtoCNF_G,C)
| coll(C,X_3000,X_2999) ),
inference(resolve,[$cnf( coll(X_2999,skolemFOFtoCNF_G,X_3000) )],[refute_0_199,refute_0_179]) ).
cnf(refute_0_201,plain,
( ~ coll(X_2990,skolemFOFtoCNF_E,C)
| ~ coll(X_2990,skolemFOFtoCNF_E,X_2991)
| coll(C,X_2991,X_2990) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_2990)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_2991))]]) ).
cnf(refute_0_202,plain,
( ~ coll(X_2899,skolemFOFtoCNF_C_1,C)
| ~ coll(X_2899,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(C,skolemFOFtoCNF_E,X_2899) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_2899)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_203,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_2886,skolemFOFtoCNF_E)
| coll(X_2886,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_2886)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_204,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_205,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_206,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_207,plain,
( ~ midp(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_208,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_133,refute_0_207]) ).
cnf(refute_0_209,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_208,refute_0_206]) ).
cnf(refute_0_210,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_209,refute_0_205]) ).
cnf(refute_0_211,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_210,refute_0_204]) ).
cnf(refute_0_212,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_213,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_E) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_2861)
| ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_2861,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_2861))]]) ).
cnf(refute_0_215,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_2861)
| coll(skolemFOFtoCNF_C_1,X_2861,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_2861),
inference(subst,[],[refute_0_105:[bind(X_520,$fot(X_2861)),bind(X_521,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_217,plain,
coll(skolemFOFtoCNF_C_1,X_2861,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_2861) )],[refute_0_216,refute_0_215]) ).
cnf(refute_0_218,plain,
coll(skolemFOFtoCNF_C_1,X_2886,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_217:[bind(X_2861,$fot(X_2886))]]) ).
cnf(refute_0_219,plain,
coll(X_2886,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_2886,skolemFOFtoCNF_E) )],[refute_0_218,refute_0_203]) ).
cnf(refute_0_220,plain,
coll(X_2899,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_219:[bind(X_2886,$fot(X_2899))]]) ).
cnf(refute_0_221,plain,
( ~ coll(X_2899,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_E,X_2899) ),
inference(resolve,[$cnf( coll(X_2899,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_220,refute_0_202]) ).
cnf(refute_0_222,plain,
coll(X_2899,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_116:[bind(X_2859,$fot(C)),bind(X_2860,$fot(X_2899)),bind(X_2861,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_223,plain,
coll(C,skolemFOFtoCNF_E,X_2899),
inference(resolve,[$cnf( coll(X_2899,skolemFOFtoCNF_C_1,C) )],[refute_0_222,refute_0_221]) ).
cnf(refute_0_224,plain,
coll(X_2990,skolemFOFtoCNF_E,X_2991),
inference(subst,[],[refute_0_223:[bind(C,$fot(X_2990)),bind(X_2899,$fot(X_2991))]]) ).
cnf(refute_0_225,plain,
( ~ coll(X_2990,skolemFOFtoCNF_E,C)
| coll(C,X_2991,X_2990) ),
inference(resolve,[$cnf( coll(X_2990,skolemFOFtoCNF_E,X_2991) )],[refute_0_224,refute_0_201]) ).
cnf(refute_0_226,plain,
( ~ coll(X_2988,skolemFOFtoCNF_C_1,C)
| ~ coll(X_2988,skolemFOFtoCNF_C_1,X_2989)
| coll(C,X_2989,X_2988) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_2988)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_2989))]]) ).
cnf(refute_0_227,plain,
( ~ coll(X_2948,skolemFOFtoCNF_D,C)
| ~ coll(X_2948,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,X_2948) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_2948)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_228,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_2883,C)
| ~ coll(skolemFOFtoCNF_C_1,X_2883,skolemFOFtoCNF_D)
| coll(C,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_2883)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_229,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_230,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_E) )],[refute_0_211,refute_0_229]) ).
cnf(refute_0_231,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_232,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_D) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_2861)
| ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_2861,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_2861))]]) ).
cnf(refute_0_234,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_2861)
| coll(skolemFOFtoCNF_C_1,X_2861,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
coll(skolemFOFtoCNF_C_1,X_2861,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_2861) )],[refute_0_149,refute_0_234]) ).
cnf(refute_0_236,plain,
coll(skolemFOFtoCNF_C_1,X_2883,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_235:[bind(X_2861,$fot(X_2883))]]) ).
cnf(refute_0_237,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_2883,C)
| coll(C,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_2883,skolemFOFtoCNF_D) )],[refute_0_236,refute_0_228]) ).
cnf(refute_0_238,plain,
coll(skolemFOFtoCNF_C_1,X_2883,C),
inference(subst,[],[refute_0_116:[bind(X_2859,$fot(C)),bind(X_2860,$fot(skolemFOFtoCNF_C_1)),bind(X_2861,$fot(X_2883))]]) ).
cnf(refute_0_239,plain,
coll(C,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_2883,C) )],[refute_0_238,refute_0_237]) ).
cnf(refute_0_240,plain,
coll(X_2948,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_239:[bind(C,$fot(X_2948))]]) ).
cnf(refute_0_241,plain,
( ~ coll(X_2948,skolemFOFtoCNF_D,C)
| coll(C,skolemFOFtoCNF_C_1,X_2948) ),
inference(resolve,[$cnf( coll(X_2948,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_240,refute_0_227]) ).
cnf(refute_0_242,plain,
coll(X_2948,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_116:[bind(X_2859,$fot(C)),bind(X_2860,$fot(X_2948)),bind(X_2861,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_243,plain,
coll(C,skolemFOFtoCNF_C_1,X_2948),
inference(resolve,[$cnf( coll(X_2948,skolemFOFtoCNF_D,C) )],[refute_0_242,refute_0_241]) ).
cnf(refute_0_244,plain,
coll(X_2988,skolemFOFtoCNF_C_1,X_2989),
inference(subst,[],[refute_0_243:[bind(C,$fot(X_2988)),bind(X_2948,$fot(X_2989))]]) ).
cnf(refute_0_245,plain,
( ~ coll(X_2988,skolemFOFtoCNF_C_1,C)
| coll(C,X_2989,X_2988) ),
inference(resolve,[$cnf( coll(X_2988,skolemFOFtoCNF_C_1,X_2989) )],[refute_0_244,refute_0_226]) ).
cnf(refute_0_246,plain,
( ~ coll(X_2986,skolemFOFtoCNF_H,C)
| ~ coll(X_2986,skolemFOFtoCNF_H,X_2987)
| coll(C,X_2987,X_2986) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_2986)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_2987))]]) ).
cnf(refute_0_247,plain,
( ~ coll(X_2918,skolemFOFtoCNF_B_1,C)
| ~ coll(X_2918,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
| coll(C,skolemFOFtoCNF_H,X_2918) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_2918)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_248,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_2915,skolemFOFtoCNF_H)
| coll(X_2915,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2915)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_249,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_250,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_251,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_252,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_E) )],[refute_0_252,refute_0_249]) ).
cnf(refute_0_254,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_255,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_H) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_2861)
| ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_2861,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_2861))]]) ).
cnf(refute_0_257,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_2861)
| coll(skolemFOFtoCNF_B_1,X_2861,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_2861),
inference(subst,[],[refute_0_105:[bind(X_520,$fot(X_2861)),bind(X_521,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_259,plain,
coll(skolemFOFtoCNF_B_1,X_2861,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_2861) )],[refute_0_258,refute_0_257]) ).
cnf(refute_0_260,plain,
coll(skolemFOFtoCNF_B_1,X_2915,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_259:[bind(X_2861,$fot(X_2915))]]) ).
cnf(refute_0_261,plain,
coll(X_2915,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_2915,skolemFOFtoCNF_H) )],[refute_0_260,refute_0_248]) ).
cnf(refute_0_262,plain,
coll(X_2918,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_261:[bind(X_2915,$fot(X_2918))]]) ).
cnf(refute_0_263,plain,
( ~ coll(X_2918,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_H,X_2918) ),
inference(resolve,[$cnf( coll(X_2918,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_262,refute_0_247]) ).
cnf(refute_0_264,plain,
coll(X_2918,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_116:[bind(X_2859,$fot(C)),bind(X_2860,$fot(X_2918)),bind(X_2861,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_265,plain,
coll(C,skolemFOFtoCNF_H,X_2918),
inference(resolve,[$cnf( coll(X_2918,skolemFOFtoCNF_B_1,C) )],[refute_0_264,refute_0_263]) ).
cnf(refute_0_266,plain,
coll(X_2986,skolemFOFtoCNF_H,X_2987),
inference(subst,[],[refute_0_265:[bind(C,$fot(X_2986)),bind(X_2918,$fot(X_2987))]]) ).
cnf(refute_0_267,plain,
( ~ coll(X_2986,skolemFOFtoCNF_H,C)
| coll(C,X_2987,X_2986) ),
inference(resolve,[$cnf( coll(X_2986,skolemFOFtoCNF_H,X_2987) )],[refute_0_266,refute_0_246]) ).
cnf(refute_0_268,plain,
( ~ coll(X_2980,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),C)
| ~ coll(X_2980,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),X_2981)
| coll(C,X_2981,X_2980) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_2980)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(D,$fot(X_2981))]]) ).
cnf(refute_0_269,plain,
( ~ coll(X_2963,skolemFOFtoCNF_A,C)
| ~ coll(X_2963,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))
| coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),X_2963) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_2963)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_270,plain,
( ~ coll(skolemFOFtoCNF_A,X_2962,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))
| coll(X_2962,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_2962)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_271,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)))),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_272,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_273,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_274,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_275,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_276,plain,
( ~ circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_137:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_277,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_76,refute_0_276]) ).
cnf(refute_0_278,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_277,refute_0_275]) ).
cnf(refute_0_279,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A) )],[refute_0_278,refute_0_274]) ).
cnf(refute_0_280,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_142:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(H,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_281,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A) )],[refute_0_281,refute_0_273]) ).
cnf(refute_0_283,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)) )],[refute_0_282,refute_0_272]) ).
cnf(refute_0_284,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)) )],[refute_0_283,refute_0_271]) ).
cnf(refute_0_285,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),X_2861)
| ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_2861,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_2861))]]) ).
cnf(refute_0_286,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),X_2861)
| coll(skolemFOFtoCNF_A,X_2861,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),X_2861),
inference(subst,[],[refute_0_105:[bind(X_520,$fot(X_2861)),bind(X_521,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_288,plain,
coll(skolemFOFtoCNF_A,X_2861,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),X_2861) )],[refute_0_287,refute_0_286]) ).
cnf(refute_0_289,plain,
coll(skolemFOFtoCNF_A,X_2962,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),
inference(subst,[],[refute_0_288:[bind(X_2861,$fot(X_2962))]]) ).
cnf(refute_0_290,plain,
coll(X_2962,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_2962,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)) )],[refute_0_289,refute_0_270]) ).
cnf(refute_0_291,plain,
coll(X_2963,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),
inference(subst,[],[refute_0_290:[bind(X_2962,$fot(X_2963))]]) ).
cnf(refute_0_292,plain,
( ~ coll(X_2963,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),X_2963) ),
inference(resolve,[$cnf( coll(X_2963,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)) )],[refute_0_291,refute_0_269]) ).
cnf(refute_0_293,plain,
coll(X_2963,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_116:[bind(X_2859,$fot(C)),bind(X_2860,$fot(X_2963)),bind(X_2861,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_294,plain,
coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),X_2963),
inference(resolve,[$cnf( coll(X_2963,skolemFOFtoCNF_A,C) )],[refute_0_293,refute_0_292]) ).
cnf(refute_0_295,plain,
coll(X_2980,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),X_2981),
inference(subst,[],[refute_0_294:[bind(C,$fot(X_2980)),bind(X_2963,$fot(X_2981))]]) ).
cnf(refute_0_296,plain,
( ~ coll(X_2980,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),C)
| coll(C,X_2981,X_2980) ),
inference(resolve,[$cnf( coll(X_2980,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),X_2981) )],[refute_0_295,refute_0_268]) ).
cnf(refute_0_297,plain,
coll(X_2980,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),C),
inference(subst,[],[refute_0_174:[bind(C,$fot(X_2980)),bind(X_2974,$fot(C)),bind(X_2975,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_298,plain,
coll(C,X_2981,X_2980),
inference(resolve,[$cnf( coll(X_2980,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),C) )],[refute_0_297,refute_0_296]) ).
cnf(refute_0_299,plain,
coll(X_2986,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_298:[bind(C,$fot(X_2986)),bind(X_2980,$fot(C)),bind(X_2981,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_300,plain,
coll(C,X_2987,X_2986),
inference(resolve,[$cnf( coll(X_2986,skolemFOFtoCNF_H,C) )],[refute_0_299,refute_0_267]) ).
cnf(refute_0_301,plain,
coll(X_2988,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_300:[bind(C,$fot(X_2988)),bind(X_2986,$fot(C)),bind(X_2987,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_302,plain,
coll(C,X_2989,X_2988),
inference(resolve,[$cnf( coll(X_2988,skolemFOFtoCNF_C_1,C) )],[refute_0_301,refute_0_245]) ).
cnf(refute_0_303,plain,
coll(X_2990,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_302:[bind(C,$fot(X_2990)),bind(X_2988,$fot(C)),bind(X_2989,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_304,plain,
coll(C,X_2991,X_2990),
inference(resolve,[$cnf( coll(X_2990,skolemFOFtoCNF_E,C) )],[refute_0_303,refute_0_225]) ).
cnf(refute_0_305,plain,
coll(X_2999,skolemFOFtoCNF_G,C),
inference(subst,[],[refute_0_304:[bind(C,$fot(X_2999)),bind(X_2990,$fot(C)),bind(X_2991,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_306,plain,
coll(C,X_3000,X_2999),
inference(resolve,[$cnf( coll(X_2999,skolemFOFtoCNF_G,C) )],[refute_0_305,refute_0_200]) ).
cnf(refute_0_307,plain,
coll(X_3004,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_306:[bind(C,$fot(X_3004)),bind(X_2999,$fot(C)),bind(X_3000,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_308,plain,
coll(C,X_3005,X_3004),
inference(resolve,[$cnf( coll(X_3004,skolemFOFtoCNF_D,C) )],[refute_0_307,refute_0_178]) ).
cnf(refute_0_309,plain,
coll(X_3012,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_308:[bind(C,$fot(X_3012)),bind(X_3004,$fot(C)),bind(X_3005,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_310,plain,
coll(C,X_3013,X_3012),
inference(resolve,[$cnf( coll(X_3012,skolemFOFtoCNF_B_1,C) )],[refute_0_309,refute_0_122]) ).
cnf(refute_0_311,plain,
coll(O,A,C),
inference(subst,[],[refute_0_310:[bind(C,$fot(O)),bind(X_3012,$fot(C)),bind(X_3013,$fot(A))]]) ).
cnf(refute_0_312,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_311,refute_0_77]) ).
cnf(refute_0_313,plain,
( ~ circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_312:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_314,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_76,refute_0_313]) ).
cnf(refute_0_315,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_314,refute_0_73]) ).
cnf(refute_0_316,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_315,refute_0_71]) ).
cnf(refute_0_317,plain,
( ~ midp(X_5218,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,X_5218,skolemFOFtoCNF_B_1,X_5218) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(M,$fot(X_5218))]]) ).
cnf(refute_0_318,plain,
( ~ midp(X_5218,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,X_5218,skolemFOFtoCNF_B_1,X_5218) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_318:[bind(X_5218,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_320,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_33,refute_0_319]) ).
cnf(refute_0_321,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_320,refute_0_69]) ).
cnf(refute_0_322,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_310:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_3012,$fot(skolemFOFtoCNF_F)),bind(X_3013,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_323,plain,
midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F) )],[refute_0_322,refute_0_321]) ).
cnf(refute_0_324,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_F)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_F,Q),skolemFOFtoCNF_F,Q) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F) )],[refute_0_323,refute_0_67]) ).
cnf(refute_0_325,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_310:[bind(C,$fot(skolemFOFtoCNF_F)),bind(X_3012,$fot(skolemFOFtoCNF_F)),bind(X_3013,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_326,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_F,Q),skolemFOFtoCNF_F,Q),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_F) )],[refute_0_325,refute_0_324]) ).
cnf(refute_0_327,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_326:[bind(Q,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_328,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F),X_4250,X_4250),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_F) )],[refute_0_327,refute_0_66]) ).
cnf(refute_0_329,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F),X_5253,X_5253),
inference(subst,[],[refute_0_328:[bind(X_4250,$fot(X_5253))]]) ).
cnf(refute_0_330,plain,
( ~ coll(X_5253,X_5253,X_5253)
| midp(skolemFOFtoCNF_P_1(X_5253,Q),X_5253,Q) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_F,skolemFOFtoCNF_F),X_5253,X_5253) )],[refute_0_329,refute_0_20]) ).
cnf(refute_0_331,plain,
coll(X_5253,X_5253,X_5253),
inference(subst,[],[refute_0_310:[bind(C,$fot(X_5253)),bind(X_3012,$fot(X_5253)),bind(X_3013,$fot(X_5253))]]) ).
cnf(refute_0_332,plain,
midp(skolemFOFtoCNF_P_1(X_5253,Q),X_5253,Q),
inference(resolve,[$cnf( coll(X_5253,X_5253,X_5253) )],[refute_0_331,refute_0_330]) ).
cnf(refute_0_333,plain,
midp(skolemFOFtoCNF_P_1(X_5262,X_5261),X_5262,X_5261),
inference(subst,[],[refute_0_332:[bind(Q,$fot(X_5261)),bind(X_5253,$fot(X_5262))]]) ).
cnf(refute_0_334,plain,
cong(skolemFOFtoCNF_P_1(X_5262,X_5261),X_5262,skolemFOFtoCNF_P_1(X_5262,X_5261),X_5261),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_5262,X_5261),X_5262,X_5261) )],[refute_0_333,refute_0_18]) ).
cnf(refute_0_335,plain,
cong(skolemFOFtoCNF_P_1(X_10267,X_10266),X_10267,skolemFOFtoCNF_P_1(X_10267,X_10266),X_10266),
inference(subst,[],[refute_0_334:[bind(X_5261,$fot(X_10266)),bind(X_5262,$fot(X_10267))]]) ).
cnf(refute_0_336,plain,
cyclic(X_10267,X_10266,X_10266,X_10266),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_10267,X_10266),X_10267,skolemFOFtoCNF_P_1(X_10267,X_10266),X_10266) )],[refute_0_335,refute_0_16]) ).
cnf(refute_0_337,plain,
cyclic(X_10269,X_10268,X_10268,X_10268),
inference(subst,[],[refute_0_336:[bind(X_10266,$fot(X_10268)),bind(X_10267,$fot(X_10269))]]) ).
cnf(refute_0_338,plain,
cyclic(X_10268,X_10269,X_10268,X_10268),
inference(resolve,[$cnf( cyclic(X_10269,X_10268,X_10268,X_10268) )],[refute_0_337,refute_0_14]) ).
cnf(refute_0_339,plain,
cyclic(X_10270,X_10271,X_10270,X_10270),
inference(subst,[],[refute_0_338:[bind(X_10268,$fot(X_10270)),bind(X_10269,$fot(X_10271))]]) ).
cnf(refute_0_340,plain,
cyclic(X_10270,X_10270,X_10271,X_10270),
inference(resolve,[$cnf( cyclic(X_10270,X_10271,X_10270,X_10270) )],[refute_0_339,refute_0_12]) ).
cnf(refute_0_341,plain,
cyclic(X_10272,X_10272,X_10273,X_10272),
inference(subst,[],[refute_0_340:[bind(X_10270,$fot(X_10272)),bind(X_10271,$fot(X_10273))]]) ).
cnf(refute_0_342,plain,
cyclic(X_10272,X_10272,X_10272,X_10273),
inference(resolve,[$cnf( cyclic(X_10272,X_10272,X_10273,X_10272) )],[refute_0_341,refute_0_10]) ).
cnf(refute_0_343,plain,
cyclic(X_10274,X_10274,X_10274,X_10275),
inference(subst,[],[refute_0_342:[bind(X_10272,$fot(X_10274)),bind(X_10273,$fot(X_10275))]]) ).
cnf(refute_0_344,plain,
cyclic(X_10274,X_10274,X_10275,X_10275),
inference(resolve,[$cnf( cyclic(X_10274,X_10274,X_10274,X_10275) )],[refute_0_343,refute_0_8]) ).
cnf(refute_0_345,plain,
cyclic(X_10276,X_10276,X_10277,X_10277),
inference(subst,[],[refute_0_344:[bind(X_10274,$fot(X_10276)),bind(X_10275,$fot(X_10277))]]) ).
cnf(refute_0_346,plain,
( ~ cong(X_10276,X_10277,X_10276,X_10277)
| perp(X_10277,X_10276,X_10276,X_10277) ),
inference(resolve,[$cnf( cyclic(X_10276,X_10276,X_10277,X_10277) )],[refute_0_345,refute_0_6]) ).
cnf(refute_0_347,plain,
( ~ midp(X_5269,X_5268,X_5268)
| cong(X_5269,X_5268,X_5269,X_5268) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_5269)),bind(B,$fot(X_5268)),bind(C,$fot(X_5268))]]) ).
cnf(refute_0_348,plain,
( ~ midp(X_5238,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_5238,X_4250,X_4250) ),
inference(subst,[],[refute_0_65:[bind(X_4249,$fot(skolemFOFtoCNF_B_1)),bind(X_4251,$fot(X_5238))]]) ).
cnf(refute_0_349,plain,
( ~ coll(X_5237,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(X_5237,skolemFOFtoCNF_B_1,X_5237,skolemFOFtoCNF_B_1)
| midp(X_5237,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_68:[bind(A,$fot(X_5237)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_350,plain,
( ~ cong(X_5234,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_5234)
| cong(X_5234,skolemFOFtoCNF_B_1,X_5234,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_5234)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_5234))]]) ).
cnf(refute_0_351,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_5229,X_5229,skolemFOFtoCNF_B_1)
| cong(X_5229,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_5229) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_5229)),bind(C,$fot(X_5229)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_352,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_5225,skolemFOFtoCNF_B_1,X_5225)
| cong(skolemFOFtoCNF_B_1,X_5225,X_5225,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_5225)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_5225))]]) ).
cnf(refute_0_353,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_5222,X_5222)
| cong(skolemFOFtoCNF_B_1,X_5222,skolemFOFtoCNF_B_1,X_5222) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_5222)),bind(C,$fot(X_5222))]]) ).
cnf(refute_0_354,plain,
( ~ midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)
| midp(skolemFOFtoCNF_B_1,X_4250,X_4250) ),
inference(subst,[],[refute_0_65:[bind(X_4249,$fot(skolemFOFtoCNF_F)),bind(X_4251,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_355,plain,
midp(skolemFOFtoCNF_B_1,X_4250,X_4250),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F) )],[refute_0_323,refute_0_354]) ).
cnf(refute_0_356,plain,
midp(skolemFOFtoCNF_B_1,X_5222,X_5222),
inference(subst,[],[refute_0_355:[bind(X_4250,$fot(X_5222))]]) ).
cnf(refute_0_357,plain,
cong(skolemFOFtoCNF_B_1,X_5222,skolemFOFtoCNF_B_1,X_5222),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_5222,X_5222) )],[refute_0_356,refute_0_353]) ).
cnf(refute_0_358,plain,
cong(skolemFOFtoCNF_B_1,X_5225,skolemFOFtoCNF_B_1,X_5225),
inference(subst,[],[refute_0_357:[bind(X_5222,$fot(X_5225))]]) ).
cnf(refute_0_359,plain,
cong(skolemFOFtoCNF_B_1,X_5225,X_5225,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_5225,skolemFOFtoCNF_B_1,X_5225) )],[refute_0_358,refute_0_352]) ).
cnf(refute_0_360,plain,
cong(skolemFOFtoCNF_B_1,X_5229,X_5229,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_359:[bind(X_5225,$fot(X_5229))]]) ).
cnf(refute_0_361,plain,
cong(X_5229,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_5229),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_5229,X_5229,skolemFOFtoCNF_B_1) )],[refute_0_360,refute_0_351]) ).
cnf(refute_0_362,plain,
cong(X_5234,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_5234),
inference(subst,[],[refute_0_361:[bind(X_5229,$fot(X_5234))]]) ).
cnf(refute_0_363,plain,
cong(X_5234,skolemFOFtoCNF_B_1,X_5234,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(X_5234,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_5234) )],[refute_0_362,refute_0_350]) ).
cnf(refute_0_364,plain,
cong(X_5237,skolemFOFtoCNF_B_1,X_5237,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_363:[bind(X_5234,$fot(X_5237))]]) ).
cnf(refute_0_365,plain,
( ~ coll(X_5237,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_5237,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(X_5237,skolemFOFtoCNF_B_1,X_5237,skolemFOFtoCNF_B_1) )],[refute_0_364,refute_0_349]) ).
cnf(refute_0_366,plain,
coll(X_5237,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_310:[bind(C,$fot(X_5237)),bind(X_3012,$fot(skolemFOFtoCNF_B_1)),bind(X_3013,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_367,plain,
midp(X_5237,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(X_5237,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_366,refute_0_365]) ).
cnf(refute_0_368,plain,
midp(X_5238,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_367:[bind(X_5237,$fot(X_5238))]]) ).
cnf(refute_0_369,plain,
midp(X_5238,X_4250,X_4250),
inference(resolve,[$cnf( midp(X_5238,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_368,refute_0_348]) ).
cnf(refute_0_370,plain,
midp(X_5269,X_5268,X_5268),
inference(subst,[],[refute_0_369:[bind(X_4250,$fot(X_5268)),bind(X_5238,$fot(X_5269))]]) ).
cnf(refute_0_371,plain,
cong(X_5269,X_5268,X_5269,X_5268),
inference(resolve,[$cnf( midp(X_5269,X_5268,X_5268) )],[refute_0_370,refute_0_347]) ).
cnf(refute_0_372,plain,
cong(X_10276,X_10277,X_10276,X_10277),
inference(subst,[],[refute_0_371:[bind(X_5268,$fot(X_10277)),bind(X_5269,$fot(X_10276))]]) ).
cnf(refute_0_373,plain,
perp(X_10277,X_10276,X_10276,X_10277),
inference(resolve,[$cnf( cong(X_10276,X_10277,X_10276,X_10277) )],[refute_0_372,refute_0_346]) ).
cnf(refute_0_374,plain,
perp(X_10279,X_10278,X_10278,X_10279),
inference(subst,[],[refute_0_373:[bind(X_10276,$fot(X_10278)),bind(X_10277,$fot(X_10279))]]) ).
cnf(refute_0_375,plain,
( ~ midp(M,X_10279,X_10279)
| cong(X_10279,M,X_10278,M) ),
inference(resolve,[$cnf( perp(X_10279,X_10278,X_10278,X_10279) )],[refute_0_374,refute_0_4]) ).
cnf(refute_0_376,plain,
( ~ midp(X_5249,skolemFOFtoCNF_F,skolemFOFtoCNF_F)
| midp(X_5249,X_4250,X_4250) ),
inference(subst,[],[refute_0_65:[bind(X_4249,$fot(skolemFOFtoCNF_F)),bind(X_4251,$fot(X_5249))]]) ).
cnf(refute_0_377,plain,
( ~ coll(X_5248,skolemFOFtoCNF_F,skolemFOFtoCNF_F)
| ~ cong(X_5248,skolemFOFtoCNF_F,X_5248,skolemFOFtoCNF_F)
| midp(X_5248,skolemFOFtoCNF_F,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_68:[bind(A,$fot(X_5248)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_378,plain,
( ~ cong(X_5246,skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_5246)
| cong(X_5246,skolemFOFtoCNF_F,X_5246,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_5246)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_5246))]]) ).
cnf(refute_0_379,plain,
( ~ cong(skolemFOFtoCNF_F,X_5242,X_5242,skolemFOFtoCNF_F)
| cong(X_5242,skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_5242) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(X_5242)),bind(C,$fot(X_5242)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_380,plain,
( ~ cong(skolemFOFtoCNF_F,X_5228,skolemFOFtoCNF_F,X_5228)
| cong(skolemFOFtoCNF_F,X_5228,X_5228,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(X_5228)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_5228))]]) ).
cnf(refute_0_381,plain,
( ~ midp(skolemFOFtoCNF_F,X_5223,X_5223)
| cong(skolemFOFtoCNF_F,X_5223,skolemFOFtoCNF_F,X_5223) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(X_5223)),bind(C,$fot(X_5223))]]) ).
cnf(refute_0_382,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_F,X_4250,X_4250) ),
inference(subst,[],[refute_0_65:[bind(X_4249,$fot(skolemFOFtoCNF_B_1)),bind(X_4251,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_383,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_68:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_384,plain,
( ~ cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_385,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_386,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_387,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_320,refute_0_386]) ).
cnf(refute_0_388,plain,
cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) )],[refute_0_387,refute_0_385]) ).
cnf(refute_0_389,plain,
cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_388,refute_0_384]) ).
cnf(refute_0_390,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) )],[refute_0_389,refute_0_383]) ).
cnf(refute_0_391,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_310:[bind(C,$fot(skolemFOFtoCNF_F)),bind(X_3012,$fot(skolemFOFtoCNF_B_1)),bind(X_3013,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_392,plain,
midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_391,refute_0_390]) ).
cnf(refute_0_393,plain,
midp(skolemFOFtoCNF_F,X_4250,X_4250),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_392,refute_0_382]) ).
cnf(refute_0_394,plain,
midp(skolemFOFtoCNF_F,X_5223,X_5223),
inference(subst,[],[refute_0_393:[bind(X_4250,$fot(X_5223))]]) ).
cnf(refute_0_395,plain,
cong(skolemFOFtoCNF_F,X_5223,skolemFOFtoCNF_F,X_5223),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,X_5223,X_5223) )],[refute_0_394,refute_0_381]) ).
cnf(refute_0_396,plain,
cong(skolemFOFtoCNF_F,X_5228,skolemFOFtoCNF_F,X_5228),
inference(subst,[],[refute_0_395:[bind(X_5223,$fot(X_5228))]]) ).
cnf(refute_0_397,plain,
cong(skolemFOFtoCNF_F,X_5228,X_5228,skolemFOFtoCNF_F),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,X_5228,skolemFOFtoCNF_F,X_5228) )],[refute_0_396,refute_0_380]) ).
cnf(refute_0_398,plain,
cong(skolemFOFtoCNF_F,X_5242,X_5242,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_397:[bind(X_5228,$fot(X_5242))]]) ).
cnf(refute_0_399,plain,
cong(X_5242,skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_5242),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,X_5242,X_5242,skolemFOFtoCNF_F) )],[refute_0_398,refute_0_379]) ).
cnf(refute_0_400,plain,
cong(X_5246,skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_5246),
inference(subst,[],[refute_0_399:[bind(X_5242,$fot(X_5246))]]) ).
cnf(refute_0_401,plain,
cong(X_5246,skolemFOFtoCNF_F,X_5246,skolemFOFtoCNF_F),
inference(resolve,[$cnf( cong(X_5246,skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_5246) )],[refute_0_400,refute_0_378]) ).
cnf(refute_0_402,plain,
cong(X_5248,skolemFOFtoCNF_F,X_5248,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_401:[bind(X_5246,$fot(X_5248))]]) ).
cnf(refute_0_403,plain,
( ~ coll(X_5248,skolemFOFtoCNF_F,skolemFOFtoCNF_F)
| midp(X_5248,skolemFOFtoCNF_F,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( cong(X_5248,skolemFOFtoCNF_F,X_5248,skolemFOFtoCNF_F) )],[refute_0_402,refute_0_377]) ).
cnf(refute_0_404,plain,
coll(X_5248,skolemFOFtoCNF_F,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_310:[bind(C,$fot(X_5248)),bind(X_3012,$fot(skolemFOFtoCNF_F)),bind(X_3013,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_405,plain,
midp(X_5248,skolemFOFtoCNF_F,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(X_5248,skolemFOFtoCNF_F,skolemFOFtoCNF_F) )],[refute_0_404,refute_0_403]) ).
cnf(refute_0_406,plain,
midp(X_5249,skolemFOFtoCNF_F,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_405:[bind(X_5248,$fot(X_5249))]]) ).
cnf(refute_0_407,plain,
midp(X_5249,X_4250,X_4250),
inference(resolve,[$cnf( midp(X_5249,skolemFOFtoCNF_F,skolemFOFtoCNF_F) )],[refute_0_406,refute_0_376]) ).
cnf(refute_0_408,plain,
midp(M,X_10279,X_10279),
inference(subst,[],[refute_0_407:[bind(X_4250,$fot(X_10279)),bind(X_5249,$fot(M))]]) ).
cnf(refute_0_409,plain,
cong(X_10279,M,X_10278,M),
inference(resolve,[$cnf( midp(M,X_10279,X_10279) )],[refute_0_408,refute_0_375]) ).
cnf(refute_0_410,plain,
cong(X_10298,X_10296,X_10297,X_10296),
inference(subst,[],[refute_0_409:[bind(M,$fot(X_10296)),bind(X_10278,$fot(X_10297)),bind(X_10279,$fot(X_10298))]]) ).
cnf(refute_0_411,plain,
cong(X_10298,X_10296,X_10296,X_10297),
inference(resolve,[$cnf( cong(X_10298,X_10296,X_10297,X_10296) )],[refute_0_410,refute_0_2]) ).
cnf(refute_0_412,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_411:[bind(X_10296,$fot(skolemFOFtoCNF_G)),bind(X_10297,$fot(skolemFOFtoCNF_H)),bind(X_10298,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_413,plain,
$false,
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_H) )],[refute_0_412,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO644+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 11:51:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 66.54/66.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 66.54/66.77
% 66.54/66.77 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 66.61/66.81
%------------------------------------------------------------------------------