TSTP Solution File: GEO542+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO542+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 05:27:04 EDT 2022
% Result : Theorem 91.20s 91.37s
% Output : CNFRefutation 91.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 81
% Number of leaves : 32
% Syntax : Number of formulae : 518 ( 219 unt; 0 def)
% Number of atoms : 973 ( 0 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 833 ( 378 ~; 373 |; 48 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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; 7 con; 0-3 aty)
% Number of variables : 1043 ( 177 sgn 457 !; 22 ?)
% 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(ruleD56,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q) )
=> perp(A,B,P,Q) ) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(ruleX10,axiom,
! [A,B,C,H] :
? [P,Q] :
( ( perp(A,H,B,C)
& perp(B,H,A,C) )
=> ( coll(P,C,B)
& perp(A,P,C,B)
& coll(Q,C,A)
& perp(B,Q,C,A) ) ) ).
fof(ruleX11,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ) ).
fof(ruleX16,axiom,
! [A,B,C,D,M] :
? [P] :
( ( perp(A,B,A,C)
& perp(C,A,C,D)
& midp(M,B,D) )
=> midp(P,A,C) ) ).
fof(exemplo6GDDFULL012002,conjecture,
! [A,B,C,A1,B1,C1,O] :
( ( midp(A1,C,B)
& midp(B1,C,A)
& midp(C1,B,A)
& circle(O,A,B,C) )
=> perp(O,A1,B1,C1) ) ).
fof(subgoal_0,plain,
! [A,B,C,A1,B1,C1,O] :
( ( midp(A1,C,B)
& midp(B1,C,A)
& midp(C1,B,A)
& circle(O,A,B,C) )
=> perp(O,A1,B1,C1) ),
inference(strip,[],[exemplo6GDDFULL012002]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,A1,B1,C1,O] :
( ( midp(A1,C,B)
& midp(B1,C,A)
& midp(C1,B,A)
& circle(O,A,B,C) )
=> perp(O,A1,B1,C1) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,A1,B,B1,C,C1,O] :
( ~ perp(O,A1,B1,C1)
& circle(O,A,B,C)
& midp(A1,C,B)
& midp(B1,C,A)
& midp(C1,B,A) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A1,skolemFOFtoCNF_B1,skolemFOFtoCNF_C1)
& circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
& midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A1,skolemFOFtoCNF_B1,skolemFOFtoCNF_C1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(canonicalize,[],[ruleD56]) ).
fof(normalize_0_4,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
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] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_25,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_27,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_29,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,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_31,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_30]) ).
fof(normalize_0_32,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_31]) ).
fof(normalize_0_33,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_34,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_36,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD40]) ).
fof(normalize_0_37,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [A,B,C,D,P,Q] :
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(clausify,[],[normalize_0_37]) ).
fof(normalize_0_39,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_40,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_39]) ).
fof(normalize_0_41,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_42,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_41]) ).
fof(normalize_0_43,plain,
! [A,B,C,D] :
( ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| ? [P] : midp(P,A,C)
| ! [M] : ~ midp(M,B,D) ),
inference(canonicalize,[],[ruleX16]) ).
fof(normalize_0_44,plain,
! [A,B,C,D] :
( ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| ? [P] : midp(P,A,C)
| ! [M] : ~ midp(M,B,D) ),
inference(specialize,[],[normalize_0_43]) ).
fof(normalize_0_45,plain,
! [A,B,C,D,M] :
( ~ midp(M,B,D)
| ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| midp(skolemFOFtoCNF_P_7(A,C),A,C) ),
inference(clausify,[],[normalize_0_44]) ).
fof(normalize_0_46,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_47,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_46]) ).
fof(normalize_0_48,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_49,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_48]) ).
fof(normalize_0_50,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_51,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_50]) ).
fof(normalize_0_52,plain,
midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_53,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_54,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_53]) ).
fof(normalize_0_55,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_56,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_55]) ).
fof(normalize_0_57,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[ruleD12]) ).
fof(normalize_0_58,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_57]) ).
fof(normalize_0_59,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_60,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_59]) ).
fof(normalize_0_61,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[ruleD53]) ).
fof(normalize_0_62,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_61]) ).
fof(normalize_0_63,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_64,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_63]) ).
fof(normalize_0_65,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_66,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_65]) ).
fof(normalize_0_67,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(canonicalize,[],[ruleX11]) ).
fof(normalize_0_68,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(specialize,[],[normalize_0_67]) ).
fof(normalize_0_69,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(clausify,[],[normalize_0_68]) ).
fof(normalize_0_70,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| ? [P,Q] :
( coll(P,C,B)
& coll(Q,C,A)
& perp(A,P,C,B)
& perp(B,Q,C,A) ) ),
inference(canonicalize,[],[ruleX10]) ).
fof(normalize_0_71,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| ? [P,Q] :
( coll(P,C,B)
& coll(Q,C,A)
& perp(A,P,C,B)
& perp(B,Q,C,A) ) ),
inference(specialize,[],[normalize_0_70]) ).
fof(normalize_0_72,plain,
! [A,B,C,H] :
( ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(B,skolemFOFtoCNF_Q_1(A,B,C),C,A) ) ),
inference(clausify,[],[normalize_0_71]) ).
fof(normalize_0_73,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(conjunct,[],[normalize_0_72]) ).
fof(normalize_0_74,plain,
midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_75,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(conjunct,[],[normalize_0_72]) ).
fof(normalize_0_76,plain,
circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
~ perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A1,skolemFOFtoCNF_B1,skolemFOFtoCNF_C1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ midp(M,X_9081,X_9081)
| ~ perp(X_9081,X_9080,X_9080,X_9081)
| cong(X_9081,M,X_9080,M) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_9081)),bind(B,$fot(X_9080)),bind(C,$fot(X_9081))]]) ).
cnf(refute_0_4,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ cong(X_9078,X_9079,X_9078,X_9079)
| ~ cyclic(X_9078,X_9078,X_9079,X_9079)
| perp(X_9079,X_9078,X_9078,X_9079) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_9078)),bind(B,$fot(X_9078)),bind(P,$fot(X_9079)),bind(Q,$fot(X_9079))]]) ).
cnf(refute_0_6,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ cyclic(X_9076,X_9076,X_9076,X_9077)
| cyclic(X_9076,X_9076,X_9077,X_9077) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_9076)),bind(B,$fot(X_9076)),bind(C,$fot(X_9076)),bind(D,$fot(X_9077)),bind(E,$fot(X_9077))]]) ).
cnf(refute_0_8,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_9,plain,
( ~ cyclic(X_9074,X_9074,X_9075,X_9074)
| cyclic(X_9074,X_9074,X_9074,X_9075) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_9074)),bind(B,$fot(X_9074)),bind(C,$fot(X_9075)),bind(D,$fot(X_9074))]]) ).
cnf(refute_0_10,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_11,plain,
( ~ cyclic(X_9072,X_9073,X_9072,X_9072)
| cyclic(X_9072,X_9072,X_9073,X_9072) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_9072)),bind(B,$fot(X_9073)),bind(C,$fot(X_9072)),bind(D,$fot(X_9072))]]) ).
cnf(refute_0_12,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_13,plain,
( ~ cyclic(X_9071,X_9070,X_9070,X_9070)
| cyclic(X_9070,X_9071,X_9070,X_9070) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_9071)),bind(B,$fot(X_9070)),bind(C,$fot(X_9070)),bind(D,$fot(X_9070))]]) ).
cnf(refute_0_14,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_15,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_9069,X_9068),X_9069,skolemFOFtoCNF_P_1(X_9069,X_9068),X_9068)
| cyclic(X_9069,X_9068,X_9068,X_9068) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_9069)),bind(B,$fot(X_9068)),bind(C,$fot(X_9068)),bind(D,$fot(X_9068)),bind(O,$fot(skolemFOFtoCNF_P_1(X_9069,X_9068)))]]) ).
cnf(refute_0_16,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_17,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_5865,X_5864),X_5865,X_5864)
| cong(skolemFOFtoCNF_P_1(X_5865,X_5864),X_5865,skolemFOFtoCNF_P_1(X_5865,X_5864),X_5864) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_P_1(X_5865,X_5864))),bind(B,$fot(X_5865)),bind(C,$fot(X_5864))]]) ).
cnf(refute_0_18,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_19,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_20,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_21,plain,
( ~ coll(X_598,X_598,X_597)
| coll(X_598,X_597,X_598) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_598)),bind(B,$fot(X_598)),bind(C,$fot(X_597))]]) ).
cnf(refute_0_22,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_23,plain,
( ~ coll(X_595,X_596,X_596)
| coll(X_596,X_596,X_595) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_595)),bind(B,$fot(X_596)),bind(C,$fot(X_596)),bind(D,$fot(X_596))]]) ).
cnf(refute_0_24,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_25,plain,
( ~ para(X_593,X_594,X_593,X_594)
| coll(X_593,X_594,X_594) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_593)),bind(B,$fot(X_594)),bind(C,$fot(X_594))]]) ).
cnf(refute_0_26,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_27,plain,
( ~ eqangle(X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_591,X_592,X_591,X_592) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_591)),bind(B,$fot(X_592)),bind(C,$fot(X_591)),bind(D,$fot(X_592)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_28,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_29,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_28:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_30,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_31,plain,
( ~ cong(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_32,plain,
midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_33,plain,
( ~ midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_B1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_34,plain,
cong(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A) )],[refute_0_34,refute_0_31]) ).
cnf(refute_0_36,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_35,refute_0_30]) ).
cnf(refute_0_37,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_36,refute_0_29]) ).
cnf(refute_0_38,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_26:[bind(A,$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,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_39,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_41,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_40:[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_42,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_39,refute_0_41]) ).
cnf(refute_0_43,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590),
inference(subst,[],[refute_0_42:[bind(X_153,$fot(X_589)),bind(X_154,$fot(X_590))]]) ).
cnf(refute_0_44,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_45,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590)
| eqangle(X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_589)),bind(D,$fot(X_590)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_589)),bind(V,$fot(X_590))]]) ).
cnf(refute_0_46,plain,
eqangle(X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590) )],[refute_0_43,refute_0_45]) ).
cnf(refute_0_47,plain,
eqangle(X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_46:[bind(X_589,$fot(X_591)),bind(X_590,$fot(X_592))]]) ).
cnf(refute_0_48,plain,
para(X_591,X_592,X_591,X_592),
inference(resolve,[$cnf( eqangle(X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_47,refute_0_27]) ).
cnf(refute_0_49,plain,
para(X_593,X_594,X_593,X_594),
inference(subst,[],[refute_0_48:[bind(X_591,$fot(X_593)),bind(X_592,$fot(X_594))]]) ).
cnf(refute_0_50,plain,
coll(X_593,X_594,X_594),
inference(resolve,[$cnf( para(X_593,X_594,X_593,X_594) )],[refute_0_49,refute_0_25]) ).
cnf(refute_0_51,plain,
coll(X_595,X_596,X_596),
inference(subst,[],[refute_0_50:[bind(X_593,$fot(X_595)),bind(X_594,$fot(X_596))]]) ).
cnf(refute_0_52,plain,
coll(X_596,X_596,X_595),
inference(resolve,[$cnf( coll(X_595,X_596,X_596) )],[refute_0_51,refute_0_23]) ).
cnf(refute_0_53,plain,
coll(X_598,X_598,X_597),
inference(subst,[],[refute_0_52:[bind(X_595,$fot(X_597)),bind(X_596,$fot(X_598))]]) ).
cnf(refute_0_54,plain,
coll(X_598,X_597,X_598),
inference(resolve,[$cnf( coll(X_598,X_598,X_597) )],[refute_0_53,refute_0_21]) ).
cnf(refute_0_55,plain,
coll(D,D,D),
inference(subst,[],[refute_0_54:[bind(X_597,$fot(D)),bind(X_598,$fot(D))]]) ).
cnf(refute_0_56,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_55,refute_0_19]) ).
cnf(refute_0_57,plain,
( ~ midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),X_5852,X_5852)
| midp(skolemFOFtoCNF_P_1(X_5852,Q),X_5852,Q) ),
inference(subst,[],[refute_0_56:[bind(D,$fot(X_5852)),bind(N,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_58,plain,
para(X_5763,X_5764,X_5763,X_5764),
inference(subst,[],[refute_0_48:[bind(X_591,$fot(X_5763)),bind(X_592,$fot(X_5764))]]) ).
cnf(refute_0_59,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_60,plain,
( ~ midp(X_5765,X_5763,X_5763)
| ~ para(X_5763,X_5764,X_5763,X_5764)
| midp(X_5765,X_5764,X_5764) ),
inference(subst,[],[refute_0_59:[bind(A,$fot(X_5763)),bind(B,$fot(X_5763)),bind(C,$fot(X_5764)),bind(D,$fot(X_5764)),bind(M,$fot(X_5765))]]) ).
cnf(refute_0_61,plain,
( ~ midp(X_5765,X_5763,X_5763)
| midp(X_5765,X_5764,X_5764) ),
inference(resolve,[$cnf( para(X_5763,X_5764,X_5763,X_5764) )],[refute_0_58,refute_0_60]) ).
cnf(refute_0_62,plain,
( ~ midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),X_5764,X_5764) ),
inference(subst,[],[refute_0_61:[bind(X_5763,$fot(skolemFOFtoCNF_B_1)),bind(X_5765,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_63,plain,
( ~ midp(M,B,D)
| ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| midp(skolemFOFtoCNF_P_7(A,C),A,C) ),
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_64,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_63:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_65,plain,
( ~ midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,Q),skolemFOFtoCNF_B_1,Q) ),
inference(subst,[],[refute_0_56:[bind(D,$fot(skolemFOFtoCNF_B_1)),bind(N,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_66,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_67,plain,
( ~ coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_68,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_69,plain,
( ~ cong(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1)
| cong(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_68:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_70,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_71,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C1)),bind(C,$fot(skolemFOFtoCNF_C1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_72,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_68:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_73,plain,
midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_74,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_75,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_76,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_77,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_78,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_79,plain,
( ~ cong(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1)
| circle(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_80,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_81,plain,
( ~ midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_82,plain,
midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_73,refute_0_81]) ).
cnf(refute_0_83,plain,
( ~ midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_84,plain,
cong(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
circle(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1) )],[refute_0_84,refute_0_79]) ).
cnf(refute_0_86,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_87,plain,
( ~ circle(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_88,plain,
( ~ coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_85,refute_0_87]) ).
cnf(refute_0_89,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_90,plain,
( ~ midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_91,plain,
coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_82,refute_0_90]) ).
cnf(refute_0_92,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_91,refute_0_88]) ).
cnf(refute_0_93,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_92,refute_0_77]) ).
cnf(refute_0_94,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_93,refute_0_75]) ).
cnf(refute_0_95,plain,
( ~ midp(X_5817,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,X_5817,skolemFOFtoCNF_B_1,X_5817) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(M,$fot(X_5817))]]) ).
cnf(refute_0_96,plain,
( ~ midp(X_5817,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,X_5817,skolemFOFtoCNF_B_1,X_5817) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
( ~ midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1) ),
inference(subst,[],[refute_0_96:[bind(X_5817,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_98,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_73,refute_0_97]) ).
cnf(refute_0_99,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1) )],[refute_0_98,refute_0_72]) ).
cnf(refute_0_100,plain,
cong(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1) )],[refute_0_99,refute_0_71]) ).
cnf(refute_0_101,plain,
cong(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1) )],[refute_0_100,refute_0_69]) ).
cnf(refute_0_102,plain,
( ~ coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1) )],[refute_0_101,refute_0_67]) ).
cnf(refute_0_103,plain,
( ~ coll(X_3763,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),C)
| ~ coll(X_3763,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),X_3764)
| coll(C,X_3764,X_3763) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_3763)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1))),bind(D,$fot(X_3764))]]) ).
cnf(refute_0_104,plain,
( ~ coll(X_3710,skolemFOFtoCNF_C_1,C)
| ~ coll(X_3710,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1))
| coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),X_3710) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_3710)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)))]]) ).
cnf(refute_0_105,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),X_3659,C)
| ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),X_3659,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1))),bind(B,$fot(X_3659)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_106,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)),skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1))),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)))),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_107,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_108,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)),skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_107:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1))),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_109,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1))),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_110,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1))),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_111,plain,
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_112,plain,
( ~ circle(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1) ),
inference(subst,[],[refute_0_111:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_113,plain,
( ~ cong(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A)
| circle(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_114,plain,
circle(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A) )],[refute_0_34,refute_0_113]) ).
cnf(refute_0_115,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_114,refute_0_112]) ).
cnf(refute_0_116,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1) )],[refute_0_115,refute_0_110]) ).
cnf(refute_0_117,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),skolemFOFtoCNF_C_1) )],[refute_0_116,refute_0_109]) ).
cnf(refute_0_118,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_119,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1))
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_118:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1))),bind(H,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_120,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)) )],[refute_0_117,refute_0_119]) ).
cnf(refute_0_121,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)),skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),skolemFOFtoCNF_C_1) )],[refute_0_120,refute_0_108]) ).
cnf(refute_0_122,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)),skolemFOFtoCNF_C_1) )],[refute_0_121,refute_0_106]) ).
cnf(refute_0_123,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3633)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1))
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),X_3633,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1))),bind(D,$fot(X_3633))]]) ).
cnf(refute_0_124,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3633)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),X_3633,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3633),
inference(subst,[],[refute_0_52:[bind(X_595,$fot(X_3633)),bind(X_596,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_126,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),X_3633,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3633) )],[refute_0_125,refute_0_124]) ).
cnf(refute_0_127,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),X_3659,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_126:[bind(X_3633,$fot(X_3659))]]) ).
cnf(refute_0_128,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),X_3659,C)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),X_3659,skolemFOFtoCNF_C_1) )],[refute_0_127,refute_0_105]) ).
cnf(refute_0_129,plain,
coll(X_3631,X_3631,X_3632),
inference(subst,[],[refute_0_52:[bind(X_595,$fot(X_3632)),bind(X_596,$fot(X_3631))]]) ).
cnf(refute_0_130,plain,
( ~ coll(X_3631,X_3631,X_3632)
| ~ coll(X_3631,X_3631,X_3633)
| coll(X_3632,X_3633,X_3631) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_3631)),bind(B,$fot(X_3631)),bind(C,$fot(X_3632)),bind(D,$fot(X_3633))]]) ).
cnf(refute_0_131,plain,
( ~ coll(X_3631,X_3631,X_3633)
| coll(X_3632,X_3633,X_3631) ),
inference(resolve,[$cnf( coll(X_3631,X_3631,X_3632) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
coll(X_3631,X_3631,X_3633),
inference(subst,[],[refute_0_52:[bind(X_595,$fot(X_3633)),bind(X_596,$fot(X_3631))]]) ).
cnf(refute_0_133,plain,
coll(X_3632,X_3633,X_3631),
inference(resolve,[$cnf( coll(X_3631,X_3631,X_3633) )],[refute_0_132,refute_0_131]) ).
cnf(refute_0_134,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),X_3659,C),
inference(subst,[],[refute_0_133:[bind(X_3631,$fot(C)),bind(X_3632,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1))),bind(X_3633,$fot(X_3659))]]) ).
cnf(refute_0_135,plain,
coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),X_3659,C) )],[refute_0_134,refute_0_128]) ).
cnf(refute_0_136,plain,
coll(X_3710,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)),
inference(subst,[],[refute_0_135:[bind(C,$fot(X_3710))]]) ).
cnf(refute_0_137,plain,
( ~ coll(X_3710,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),X_3710) ),
inference(resolve,[$cnf( coll(X_3710,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)) )],[refute_0_136,refute_0_104]) ).
cnf(refute_0_138,plain,
( ~ coll(X_3693,skolemFOFtoCNF_A1,C)
| ~ coll(X_3693,skolemFOFtoCNF_A1,X_3694)
| coll(C,X_3694,X_3693) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_3693)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(D,$fot(X_3694))]]) ).
cnf(refute_0_139,plain,
( ~ coll(X_3655,skolemFOFtoCNF_B_1,C)
| ~ coll(X_3655,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1)
| coll(C,skolemFOFtoCNF_A1,X_3655) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_3655)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_140,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_3641,skolemFOFtoCNF_A1)
| coll(X_3641,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1) ),
inference(subst,[],[refute_0_107:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_3641)),bind(C,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_141,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1) ),
inference(subst,[],[refute_0_107:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_142,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_143,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_107:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_144,plain,
midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_74]) ).
cnf(refute_0_145,plain,
( ~ midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_146,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_146,refute_0_143]) ).
cnf(refute_0_148,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1) )],[refute_0_147,refute_0_142]) ).
cnf(refute_0_149,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1) )],[refute_0_148,refute_0_141]) ).
cnf(refute_0_150,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1)
| coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A1)),bind(D,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_151,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,X_3633)
| ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_3633,skolemFOFtoCNF_A1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3633))]]) ).
cnf(refute_0_153,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,X_3633)
| coll(skolemFOFtoCNF_B_1,X_3633,skolemFOFtoCNF_A1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,X_3633),
inference(subst,[],[refute_0_52:[bind(X_595,$fot(X_3633)),bind(X_596,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_155,plain,
coll(skolemFOFtoCNF_B_1,X_3633,skolemFOFtoCNF_A1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,X_3633) )],[refute_0_154,refute_0_153]) ).
cnf(refute_0_156,plain,
coll(skolemFOFtoCNF_B_1,X_3641,skolemFOFtoCNF_A1),
inference(subst,[],[refute_0_155:[bind(X_3633,$fot(X_3641))]]) ).
cnf(refute_0_157,plain,
coll(X_3641,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_3641,skolemFOFtoCNF_A1) )],[refute_0_156,refute_0_140]) ).
cnf(refute_0_158,plain,
coll(X_3655,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1),
inference(subst,[],[refute_0_157:[bind(X_3641,$fot(X_3655))]]) ).
cnf(refute_0_159,plain,
( ~ coll(X_3655,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_A1,X_3655) ),
inference(resolve,[$cnf( coll(X_3655,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1) )],[refute_0_158,refute_0_139]) ).
cnf(refute_0_160,plain,
coll(X_3655,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_133:[bind(X_3631,$fot(C)),bind(X_3632,$fot(X_3655)),bind(X_3633,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_161,plain,
coll(C,skolemFOFtoCNF_A1,X_3655),
inference(resolve,[$cnf( coll(X_3655,skolemFOFtoCNF_B_1,C) )],[refute_0_160,refute_0_159]) ).
cnf(refute_0_162,plain,
coll(X_3693,skolemFOFtoCNF_A1,X_3694),
inference(subst,[],[refute_0_161:[bind(C,$fot(X_3693)),bind(X_3655,$fot(X_3694))]]) ).
cnf(refute_0_163,plain,
( ~ coll(X_3693,skolemFOFtoCNF_A1,C)
| coll(C,X_3694,X_3693) ),
inference(resolve,[$cnf( coll(X_3693,skolemFOFtoCNF_A1,X_3694) )],[refute_0_162,refute_0_138]) ).
cnf(refute_0_164,plain,
( ~ coll(X_3684,skolemFOFtoCNF_B_1,C)
| ~ coll(X_3684,skolemFOFtoCNF_B_1,X_3685)
| coll(C,X_3685,X_3684) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_3684)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3685))]]) ).
cnf(refute_0_165,plain,
( ~ coll(X_3667,skolemFOFtoCNF_C1,C)
| ~ coll(X_3667,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_3667) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_3667)),bind(B,$fot(skolemFOFtoCNF_C1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_166,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_3648,C)
| ~ coll(skolemFOFtoCNF_B_1,X_3648,skolemFOFtoCNF_C1)
| coll(C,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_3648)),bind(D,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_167,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_168,plain,
( ~ coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_107:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_169,plain,
( ~ midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_170,plain,
coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_73,refute_0_169]) ).
cnf(refute_0_171,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_170,refute_0_168]) ).
cnf(refute_0_172,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_A) )],[refute_0_171,refute_0_167]) ).
cnf(refute_0_173,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1)
| coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C1)),bind(D,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_174,plain,
coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
( ~ coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,X_3633)
| ~ coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_3633,skolemFOFtoCNF_C1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(skolemFOFtoCNF_C1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3633))]]) ).
cnf(refute_0_176,plain,
( ~ coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,X_3633)
| coll(skolemFOFtoCNF_B_1,X_3633,skolemFOFtoCNF_C1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,X_3633),
inference(subst,[],[refute_0_52:[bind(X_595,$fot(X_3633)),bind(X_596,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_178,plain,
coll(skolemFOFtoCNF_B_1,X_3633,skolemFOFtoCNF_C1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,X_3633) )],[refute_0_177,refute_0_176]) ).
cnf(refute_0_179,plain,
coll(skolemFOFtoCNF_B_1,X_3648,skolemFOFtoCNF_C1),
inference(subst,[],[refute_0_178:[bind(X_3633,$fot(X_3648))]]) ).
cnf(refute_0_180,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_3648,C)
| coll(C,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_3648,skolemFOFtoCNF_C1) )],[refute_0_179,refute_0_166]) ).
cnf(refute_0_181,plain,
coll(skolemFOFtoCNF_B_1,X_3648,C),
inference(subst,[],[refute_0_133:[bind(X_3631,$fot(C)),bind(X_3632,$fot(skolemFOFtoCNF_B_1)),bind(X_3633,$fot(X_3648))]]) ).
cnf(refute_0_182,plain,
coll(C,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_3648,C) )],[refute_0_181,refute_0_180]) ).
cnf(refute_0_183,plain,
coll(X_3667,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_182:[bind(C,$fot(X_3667))]]) ).
cnf(refute_0_184,plain,
( ~ coll(X_3667,skolemFOFtoCNF_C1,C)
| coll(C,skolemFOFtoCNF_B_1,X_3667) ),
inference(resolve,[$cnf( coll(X_3667,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1) )],[refute_0_183,refute_0_165]) ).
cnf(refute_0_185,plain,
coll(X_3667,skolemFOFtoCNF_C1,C),
inference(subst,[],[refute_0_133:[bind(X_3631,$fot(C)),bind(X_3632,$fot(X_3667)),bind(X_3633,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_186,plain,
coll(C,skolemFOFtoCNF_B_1,X_3667),
inference(resolve,[$cnf( coll(X_3667,skolemFOFtoCNF_C1,C) )],[refute_0_185,refute_0_184]) ).
cnf(refute_0_187,plain,
coll(X_3684,skolemFOFtoCNF_B_1,X_3685),
inference(subst,[],[refute_0_186:[bind(C,$fot(X_3684)),bind(X_3667,$fot(X_3685))]]) ).
cnf(refute_0_188,plain,
( ~ coll(X_3684,skolemFOFtoCNF_B_1,C)
| coll(C,X_3685,X_3684) ),
inference(resolve,[$cnf( coll(X_3684,skolemFOFtoCNF_B_1,X_3685) )],[refute_0_187,refute_0_164]) ).
cnf(refute_0_189,plain,
( ~ coll(X_3680,skolemFOFtoCNF_A,C)
| ~ coll(X_3680,skolemFOFtoCNF_A,X_3681)
| coll(C,X_3681,X_3680) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_3680)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3681))]]) ).
cnf(refute_0_190,plain,
( ~ coll(X_3654,skolemFOFtoCNF_B1,C)
| ~ coll(X_3654,skolemFOFtoCNF_B1,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,X_3654) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_3654)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_191,plain,
( ~ coll(skolemFOFtoCNF_A,X_3645,C)
| ~ coll(skolemFOFtoCNF_A,X_3645,skolemFOFtoCNF_B1)
| coll(C,skolemFOFtoCNF_B1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3645)),bind(D,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_192,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_193,plain,
( ~ coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_107:[bind(A,$fot(skolemFOFtoCNF_B1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_194,plain,
( ~ midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_195,plain,
midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_32,refute_0_194]) ).
cnf(refute_0_196,plain,
( ~ midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_B1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_197,plain,
coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_197,refute_0_193]) ).
cnf(refute_0_199,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1) )],[refute_0_198,refute_0_192]) ).
cnf(refute_0_200,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)
| coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B1)),bind(D,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_201,plain,
coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
( ~ coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,X_3633)
| ~ coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_3633,skolemFOFtoCNF_B1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_B1)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3633))]]) ).
cnf(refute_0_203,plain,
( ~ coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,X_3633)
| coll(skolemFOFtoCNF_A,X_3633,skolemFOFtoCNF_B1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,X_3633),
inference(subst,[],[refute_0_52:[bind(X_595,$fot(X_3633)),bind(X_596,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_205,plain,
coll(skolemFOFtoCNF_A,X_3633,skolemFOFtoCNF_B1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,X_3633) )],[refute_0_204,refute_0_203]) ).
cnf(refute_0_206,plain,
coll(skolemFOFtoCNF_A,X_3645,skolemFOFtoCNF_B1),
inference(subst,[],[refute_0_205:[bind(X_3633,$fot(X_3645))]]) ).
cnf(refute_0_207,plain,
( ~ coll(skolemFOFtoCNF_A,X_3645,C)
| coll(C,skolemFOFtoCNF_B1,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3645,skolemFOFtoCNF_B1) )],[refute_0_206,refute_0_191]) ).
cnf(refute_0_208,plain,
coll(skolemFOFtoCNF_A,X_3645,C),
inference(subst,[],[refute_0_133:[bind(X_3631,$fot(C)),bind(X_3632,$fot(skolemFOFtoCNF_A)),bind(X_3633,$fot(X_3645))]]) ).
cnf(refute_0_209,plain,
coll(C,skolemFOFtoCNF_B1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3645,C) )],[refute_0_208,refute_0_207]) ).
cnf(refute_0_210,plain,
coll(X_3654,skolemFOFtoCNF_B1,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_209:[bind(C,$fot(X_3654))]]) ).
cnf(refute_0_211,plain,
( ~ coll(X_3654,skolemFOFtoCNF_B1,C)
| coll(C,skolemFOFtoCNF_A,X_3654) ),
inference(resolve,[$cnf( coll(X_3654,skolemFOFtoCNF_B1,skolemFOFtoCNF_A) )],[refute_0_210,refute_0_190]) ).
cnf(refute_0_212,plain,
coll(X_3654,skolemFOFtoCNF_B1,C),
inference(subst,[],[refute_0_133:[bind(X_3631,$fot(C)),bind(X_3632,$fot(X_3654)),bind(X_3633,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_213,plain,
coll(C,skolemFOFtoCNF_A,X_3654),
inference(resolve,[$cnf( coll(X_3654,skolemFOFtoCNF_B1,C) )],[refute_0_212,refute_0_211]) ).
cnf(refute_0_214,plain,
coll(X_3680,skolemFOFtoCNF_A,X_3681),
inference(subst,[],[refute_0_213:[bind(C,$fot(X_3680)),bind(X_3654,$fot(X_3681))]]) ).
cnf(refute_0_215,plain,
( ~ coll(X_3680,skolemFOFtoCNF_A,C)
| coll(C,X_3681,X_3680) ),
inference(resolve,[$cnf( coll(X_3680,skolemFOFtoCNF_A,X_3681) )],[refute_0_214,refute_0_189]) ).
cnf(refute_0_216,plain,
coll(X_3680,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_133:[bind(X_3631,$fot(C)),bind(X_3632,$fot(X_3680)),bind(X_3633,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_217,plain,
coll(C,X_3681,X_3680),
inference(resolve,[$cnf( coll(X_3680,skolemFOFtoCNF_A,C) )],[refute_0_216,refute_0_215]) ).
cnf(refute_0_218,plain,
coll(X_3684,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_217:[bind(C,$fot(X_3684)),bind(X_3680,$fot(C)),bind(X_3681,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_219,plain,
coll(C,X_3685,X_3684),
inference(resolve,[$cnf( coll(X_3684,skolemFOFtoCNF_B_1,C) )],[refute_0_218,refute_0_188]) ).
cnf(refute_0_220,plain,
coll(X_3693,skolemFOFtoCNF_A1,C),
inference(subst,[],[refute_0_219:[bind(C,$fot(X_3693)),bind(X_3684,$fot(C)),bind(X_3685,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_221,plain,
coll(C,X_3694,X_3693),
inference(resolve,[$cnf( coll(X_3693,skolemFOFtoCNF_A1,C) )],[refute_0_220,refute_0_163]) ).
cnf(refute_0_222,plain,
coll(X_3710,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_221:[bind(C,$fot(X_3710)),bind(X_3693,$fot(C)),bind(X_3694,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_223,plain,
coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),X_3710),
inference(resolve,[$cnf( coll(X_3710,skolemFOFtoCNF_C_1,C) )],[refute_0_222,refute_0_137]) ).
cnf(refute_0_224,plain,
coll(X_3763,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),X_3764),
inference(subst,[],[refute_0_223:[bind(C,$fot(X_3763)),bind(X_3710,$fot(X_3764))]]) ).
cnf(refute_0_225,plain,
( ~ coll(X_3763,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),C)
| coll(C,X_3764,X_3763) ),
inference(resolve,[$cnf( coll(X_3763,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),X_3764) )],[refute_0_224,refute_0_103]) ).
cnf(refute_0_226,plain,
( ~ coll(X_3750,skolemFOFtoCNF_C_1,C)
| ~ coll(X_3750,skolemFOFtoCNF_C_1,X_3751)
| coll(C,X_3751,X_3750) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_3750)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3751))]]) ).
cnf(refute_0_227,plain,
( ~ coll(X_3690,skolemFOFtoCNF_B1,C)
| ~ coll(X_3690,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,X_3690) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_3690)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_228,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_3689,C)
| ~ coll(skolemFOFtoCNF_C_1,X_3689,skolemFOFtoCNF_B1)
| coll(C,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3689)),bind(D,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_229,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B1) ),
inference(subst,[],[refute_0_107:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_230,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1) )],[refute_0_199,refute_0_229]) ).
cnf(refute_0_231,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B1)
| coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B1)),bind(D,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_232,plain,
coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B1) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
( ~ coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,X_3633)
| ~ coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_3633,skolemFOFtoCNF_B1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_B1)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3633))]]) ).
cnf(refute_0_234,plain,
( ~ coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,X_3633)
| coll(skolemFOFtoCNF_C_1,X_3633,skolemFOFtoCNF_B1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
coll(skolemFOFtoCNF_C_1,X_3633,skolemFOFtoCNF_B1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,X_3633) )],[refute_0_204,refute_0_234]) ).
cnf(refute_0_236,plain,
coll(skolemFOFtoCNF_C_1,X_3689,skolemFOFtoCNF_B1),
inference(subst,[],[refute_0_235:[bind(X_3633,$fot(X_3689))]]) ).
cnf(refute_0_237,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_3689,C)
| coll(C,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_3689,skolemFOFtoCNF_B1) )],[refute_0_236,refute_0_228]) ).
cnf(refute_0_238,plain,
coll(skolemFOFtoCNF_C_1,X_3689,C),
inference(subst,[],[refute_0_219:[bind(C,$fot(skolemFOFtoCNF_C_1)),bind(X_3684,$fot(C)),bind(X_3685,$fot(X_3689))]]) ).
cnf(refute_0_239,plain,
coll(C,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_3689,C) )],[refute_0_238,refute_0_237]) ).
cnf(refute_0_240,plain,
coll(X_3690,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_239:[bind(C,$fot(X_3690))]]) ).
cnf(refute_0_241,plain,
( ~ coll(X_3690,skolemFOFtoCNF_B1,C)
| coll(C,skolemFOFtoCNF_C_1,X_3690) ),
inference(resolve,[$cnf( coll(X_3690,skolemFOFtoCNF_B1,skolemFOFtoCNF_C_1) )],[refute_0_240,refute_0_227]) ).
cnf(refute_0_242,plain,
coll(X_3690,skolemFOFtoCNF_B1,C),
inference(subst,[],[refute_0_219:[bind(C,$fot(X_3690)),bind(X_3684,$fot(C)),bind(X_3685,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_243,plain,
coll(C,skolemFOFtoCNF_C_1,X_3690),
inference(resolve,[$cnf( coll(X_3690,skolemFOFtoCNF_B1,C) )],[refute_0_242,refute_0_241]) ).
cnf(refute_0_244,plain,
coll(X_3750,skolemFOFtoCNF_C_1,X_3751),
inference(subst,[],[refute_0_243:[bind(C,$fot(X_3750)),bind(X_3690,$fot(X_3751))]]) ).
cnf(refute_0_245,plain,
( ~ coll(X_3750,skolemFOFtoCNF_C_1,C)
| coll(C,X_3751,X_3750) ),
inference(resolve,[$cnf( coll(X_3750,skolemFOFtoCNF_C_1,X_3751) )],[refute_0_244,refute_0_226]) ).
cnf(refute_0_246,plain,
( ~ coll(X_3742,skolemFOFtoCNF_O_2,C)
| ~ coll(X_3742,skolemFOFtoCNF_O_2,X_3743)
| coll(C,X_3743,X_3742) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_3742)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(X_3743))]]) ).
cnf(refute_0_247,plain,
( ~ coll(X_3670,skolemFOFtoCNF_A,C)
| ~ coll(X_3670,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
| coll(C,skolemFOFtoCNF_O_2,X_3670) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_3670)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_248,plain,
( ~ coll(skolemFOFtoCNF_A,X_3650,skolemFOFtoCNF_O_2)
| coll(X_3650,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_107:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3650)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_249,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2))),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_250,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_107:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_251,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2))),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_252,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2))),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_253,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_254,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_253:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(H,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_255,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2))),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_256,plain,
( ~ perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2))
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_257,plain,
( ~ perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2))),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_258,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_259,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_260,plain,
circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_76]) ).
cnf(refute_0_261,plain,
( ~ circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_111:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_262,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_262,refute_0_259]) ).
cnf(refute_0_264,plain,
perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_263,refute_0_258]) ).
cnf(refute_0_265,plain,
perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A) )],[refute_0_264,refute_0_257]) ).
cnf(refute_0_266,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)) )],[refute_0_265,refute_0_256]) ).
cnf(refute_0_267,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_266,refute_0_255]) ).
cnf(refute_0_268,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_267,refute_0_254]) ).
cnf(refute_0_269,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_268,refute_0_252]) ).
cnf(refute_0_270,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_118:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(H,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_271,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_271,refute_0_251]) ).
cnf(refute_0_273,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_272,refute_0_250]) ).
cnf(refute_0_274,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2) )],[refute_0_273,refute_0_249]) ).
cnf(refute_0_275,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_3633)
| ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_3633,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3633))]]) ).
cnf(refute_0_276,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_3633)
| coll(skolemFOFtoCNF_A,X_3633,skolemFOFtoCNF_O_2) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_3633),
inference(subst,[],[refute_0_52:[bind(X_595,$fot(X_3633)),bind(X_596,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_278,plain,
coll(skolemFOFtoCNF_A,X_3633,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_3633) )],[refute_0_277,refute_0_276]) ).
cnf(refute_0_279,plain,
coll(skolemFOFtoCNF_A,X_3650,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_278:[bind(X_3633,$fot(X_3650))]]) ).
cnf(refute_0_280,plain,
coll(X_3650,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3650,skolemFOFtoCNF_O_2) )],[refute_0_279,refute_0_248]) ).
cnf(refute_0_281,plain,
coll(X_3670,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_280:[bind(X_3650,$fot(X_3670))]]) ).
cnf(refute_0_282,plain,
( ~ coll(X_3670,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_O_2,X_3670) ),
inference(resolve,[$cnf( coll(X_3670,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_281,refute_0_247]) ).
cnf(refute_0_283,plain,
coll(X_3670,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_133:[bind(X_3631,$fot(C)),bind(X_3632,$fot(X_3670)),bind(X_3633,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_284,plain,
coll(C,skolemFOFtoCNF_O_2,X_3670),
inference(resolve,[$cnf( coll(X_3670,skolemFOFtoCNF_A,C) )],[refute_0_283,refute_0_282]) ).
cnf(refute_0_285,plain,
coll(X_3742,skolemFOFtoCNF_O_2,X_3743),
inference(subst,[],[refute_0_284:[bind(C,$fot(X_3742)),bind(X_3670,$fot(X_3743))]]) ).
cnf(refute_0_286,plain,
( ~ coll(X_3742,skolemFOFtoCNF_O_2,C)
| coll(C,X_3743,X_3742) ),
inference(resolve,[$cnf( coll(X_3742,skolemFOFtoCNF_O_2,X_3743) )],[refute_0_285,refute_0_246]) ).
cnf(refute_0_287,plain,
( ~ coll(X_3740,skolemFOFtoCNF_C1,C)
| ~ coll(X_3740,skolemFOFtoCNF_C1,X_3741)
| coll(C,X_3741,X_3740) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_3740)),bind(B,$fot(skolemFOFtoCNF_C1)),bind(D,$fot(X_3741))]]) ).
cnf(refute_0_288,plain,
( ~ coll(X_3666,skolemFOFtoCNF_A,C)
| ~ coll(X_3666,skolemFOFtoCNF_A,skolemFOFtoCNF_C1)
| coll(C,skolemFOFtoCNF_C1,X_3666) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_3666)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_289,plain,
( ~ coll(skolemFOFtoCNF_A,X_3647,skolemFOFtoCNF_C1)
| coll(X_3647,skolemFOFtoCNF_A,skolemFOFtoCNF_C1) ),
inference(subst,[],[refute_0_107:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3647)),bind(C,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_290,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1) ),
inference(subst,[],[refute_0_107:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_291,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C1) )],[refute_0_172,refute_0_290]) ).
cnf(refute_0_292,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1)
| coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C1)),bind(D,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_293,plain,
coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
( ~ coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,X_3633)
| ~ coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_3633,skolemFOFtoCNF_C1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(skolemFOFtoCNF_C1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3633))]]) ).
cnf(refute_0_295,plain,
( ~ coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,X_3633)
| coll(skolemFOFtoCNF_A,X_3633,skolemFOFtoCNF_C1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,skolemFOFtoCNF_A) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
coll(skolemFOFtoCNF_A,X_3633,skolemFOFtoCNF_C1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,X_3633) )],[refute_0_177,refute_0_295]) ).
cnf(refute_0_297,plain,
coll(skolemFOFtoCNF_A,X_3647,skolemFOFtoCNF_C1),
inference(subst,[],[refute_0_296:[bind(X_3633,$fot(X_3647))]]) ).
cnf(refute_0_298,plain,
coll(X_3647,skolemFOFtoCNF_A,skolemFOFtoCNF_C1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3647,skolemFOFtoCNF_C1) )],[refute_0_297,refute_0_289]) ).
cnf(refute_0_299,plain,
coll(X_3666,skolemFOFtoCNF_A,skolemFOFtoCNF_C1),
inference(subst,[],[refute_0_298:[bind(X_3647,$fot(X_3666))]]) ).
cnf(refute_0_300,plain,
( ~ coll(X_3666,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_C1,X_3666) ),
inference(resolve,[$cnf( coll(X_3666,skolemFOFtoCNF_A,skolemFOFtoCNF_C1) )],[refute_0_299,refute_0_288]) ).
cnf(refute_0_301,plain,
coll(X_3666,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_133:[bind(X_3631,$fot(C)),bind(X_3632,$fot(X_3666)),bind(X_3633,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_302,plain,
coll(C,skolemFOFtoCNF_C1,X_3666),
inference(resolve,[$cnf( coll(X_3666,skolemFOFtoCNF_A,C) )],[refute_0_301,refute_0_300]) ).
cnf(refute_0_303,plain,
coll(X_3740,skolemFOFtoCNF_C1,X_3741),
inference(subst,[],[refute_0_302:[bind(C,$fot(X_3740)),bind(X_3666,$fot(X_3741))]]) ).
cnf(refute_0_304,plain,
( ~ coll(X_3740,skolemFOFtoCNF_C1,C)
| coll(C,X_3741,X_3740) ),
inference(resolve,[$cnf( coll(X_3740,skolemFOFtoCNF_C1,X_3741) )],[refute_0_303,refute_0_287]) ).
cnf(refute_0_305,plain,
coll(X_3740,skolemFOFtoCNF_C1,C),
inference(subst,[],[refute_0_221:[bind(C,$fot(X_3740)),bind(X_3693,$fot(C)),bind(X_3694,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_306,plain,
coll(C,X_3741,X_3740),
inference(resolve,[$cnf( coll(X_3740,skolemFOFtoCNF_C1,C) )],[refute_0_305,refute_0_304]) ).
cnf(refute_0_307,plain,
coll(X_3742,skolemFOFtoCNF_O_2,C),
inference(subst,[],[refute_0_306:[bind(C,$fot(X_3742)),bind(X_3740,$fot(C)),bind(X_3741,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_308,plain,
coll(C,X_3743,X_3742),
inference(resolve,[$cnf( coll(X_3742,skolemFOFtoCNF_O_2,C) )],[refute_0_307,refute_0_286]) ).
cnf(refute_0_309,plain,
coll(X_3750,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_308:[bind(C,$fot(X_3750)),bind(X_3742,$fot(C)),bind(X_3743,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_310,plain,
coll(C,X_3751,X_3750),
inference(resolve,[$cnf( coll(X_3750,skolemFOFtoCNF_C_1,C) )],[refute_0_309,refute_0_245]) ).
cnf(refute_0_311,plain,
coll(X_3763,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),C),
inference(subst,[],[refute_0_310:[bind(C,$fot(X_3763)),bind(X_3750,$fot(C)),bind(X_3751,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1)))]]) ).
cnf(refute_0_312,plain,
coll(C,X_3764,X_3763),
inference(resolve,[$cnf( coll(X_3763,skolemFOFtoCNF_P_4(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B1),C) )],[refute_0_311,refute_0_225]) ).
cnf(refute_0_313,plain,
coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_312:[bind(C,$fot(skolemFOFtoCNF_C1)),bind(X_3763,$fot(skolemFOFtoCNF_B_1)),bind(X_3764,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_314,plain,
midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_313,refute_0_102]) ).
cnf(refute_0_315,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,Q),skolemFOFtoCNF_B_1,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_314,refute_0_65]) ).
cnf(refute_0_316,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_315:[bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_317,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_316,refute_0_64]) ).
cnf(refute_0_318,plain,
( ~ circle(skolemFOFtoCNF_B_1,X_5831,X_5831,X_5831)
| ~ coll(skolemFOFtoCNF_B_1,X_5831,X_5831)
| perp(X_5831,X_5831,X_5831,X_5831) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(X_5831)),bind(B,$fot(X_5831)),bind(C,$fot(X_5831)),bind(O,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_319,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_5825,skolemFOFtoCNF_B_1,X_5825)
| circle(skolemFOFtoCNF_B_1,X_5825,X_5825,X_5825) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_5825)),bind(B,$fot(X_5825)),bind(C,$fot(X_5825)),bind(O,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_320,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_5822,X_5822)
| cong(skolemFOFtoCNF_B_1,X_5822,skolemFOFtoCNF_B_1,X_5822) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_5822)),bind(C,$fot(X_5822))]]) ).
cnf(refute_0_321,plain,
( ~ midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1)
| midp(skolemFOFtoCNF_B_1,X_5764,X_5764) ),
inference(subst,[],[refute_0_61:[bind(X_5763,$fot(skolemFOFtoCNF_C1)),bind(X_5765,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_322,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1)
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C1)),bind(C,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_323,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1) )],[refute_0_98,refute_0_322]) ).
cnf(refute_0_324,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),
inference(subst,[],[refute_0_312:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_3763,$fot(skolemFOFtoCNF_C1)),bind(X_3764,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_325,plain,
midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1) )],[refute_0_324,refute_0_323]) ).
cnf(refute_0_326,plain,
midp(skolemFOFtoCNF_B_1,X_5764,X_5764),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1) )],[refute_0_325,refute_0_321]) ).
cnf(refute_0_327,plain,
midp(skolemFOFtoCNF_B_1,X_5822,X_5822),
inference(subst,[],[refute_0_326:[bind(X_5764,$fot(X_5822))]]) ).
cnf(refute_0_328,plain,
cong(skolemFOFtoCNF_B_1,X_5822,skolemFOFtoCNF_B_1,X_5822),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_5822,X_5822) )],[refute_0_327,refute_0_320]) ).
cnf(refute_0_329,plain,
cong(skolemFOFtoCNF_B_1,X_5825,skolemFOFtoCNF_B_1,X_5825),
inference(subst,[],[refute_0_328:[bind(X_5822,$fot(X_5825))]]) ).
cnf(refute_0_330,plain,
circle(skolemFOFtoCNF_B_1,X_5825,X_5825,X_5825),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_5825,skolemFOFtoCNF_B_1,X_5825) )],[refute_0_329,refute_0_319]) ).
cnf(refute_0_331,plain,
circle(skolemFOFtoCNF_B_1,X_5831,X_5831,X_5831),
inference(subst,[],[refute_0_330:[bind(X_5825,$fot(X_5831))]]) ).
cnf(refute_0_332,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_5831,X_5831)
| perp(X_5831,X_5831,X_5831,X_5831) ),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_B_1,X_5831,X_5831,X_5831) )],[refute_0_331,refute_0_318]) ).
cnf(refute_0_333,plain,
coll(skolemFOFtoCNF_B_1,X_5831,X_5831),
inference(subst,[],[refute_0_312:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_3763,$fot(X_5831)),bind(X_3764,$fot(X_5831))]]) ).
cnf(refute_0_334,plain,
perp(X_5831,X_5831,X_5831,X_5831),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_5831,X_5831) )],[refute_0_333,refute_0_332]) ).
cnf(refute_0_335,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_334:[bind(X_5831,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_336,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_335,refute_0_317]) ).
cnf(refute_0_337,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),X_5764,X_5764),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_336,refute_0_62]) ).
cnf(refute_0_338,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),X_5852,X_5852),
inference(subst,[],[refute_0_337:[bind(X_5764,$fot(X_5852))]]) ).
cnf(refute_0_339,plain,
midp(skolemFOFtoCNF_P_1(X_5852,Q),X_5852,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),X_5852,X_5852) )],[refute_0_338,refute_0_57]) ).
cnf(refute_0_340,plain,
midp(skolemFOFtoCNF_P_1(X_5865,X_5864),X_5865,X_5864),
inference(subst,[],[refute_0_339:[bind(Q,$fot(X_5864)),bind(X_5852,$fot(X_5865))]]) ).
cnf(refute_0_341,plain,
cong(skolemFOFtoCNF_P_1(X_5865,X_5864),X_5865,skolemFOFtoCNF_P_1(X_5865,X_5864),X_5864),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_5865,X_5864),X_5865,X_5864) )],[refute_0_340,refute_0_17]) ).
cnf(refute_0_342,plain,
cong(skolemFOFtoCNF_P_1(X_9069,X_9068),X_9069,skolemFOFtoCNF_P_1(X_9069,X_9068),X_9068),
inference(subst,[],[refute_0_341:[bind(X_5864,$fot(X_9068)),bind(X_5865,$fot(X_9069))]]) ).
cnf(refute_0_343,plain,
cyclic(X_9069,X_9068,X_9068,X_9068),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_9069,X_9068),X_9069,skolemFOFtoCNF_P_1(X_9069,X_9068),X_9068) )],[refute_0_342,refute_0_15]) ).
cnf(refute_0_344,plain,
cyclic(X_9071,X_9070,X_9070,X_9070),
inference(subst,[],[refute_0_343:[bind(X_9068,$fot(X_9070)),bind(X_9069,$fot(X_9071))]]) ).
cnf(refute_0_345,plain,
cyclic(X_9070,X_9071,X_9070,X_9070),
inference(resolve,[$cnf( cyclic(X_9071,X_9070,X_9070,X_9070) )],[refute_0_344,refute_0_13]) ).
cnf(refute_0_346,plain,
cyclic(X_9072,X_9073,X_9072,X_9072),
inference(subst,[],[refute_0_345:[bind(X_9070,$fot(X_9072)),bind(X_9071,$fot(X_9073))]]) ).
cnf(refute_0_347,plain,
cyclic(X_9072,X_9072,X_9073,X_9072),
inference(resolve,[$cnf( cyclic(X_9072,X_9073,X_9072,X_9072) )],[refute_0_346,refute_0_11]) ).
cnf(refute_0_348,plain,
cyclic(X_9074,X_9074,X_9075,X_9074),
inference(subst,[],[refute_0_347:[bind(X_9072,$fot(X_9074)),bind(X_9073,$fot(X_9075))]]) ).
cnf(refute_0_349,plain,
cyclic(X_9074,X_9074,X_9074,X_9075),
inference(resolve,[$cnf( cyclic(X_9074,X_9074,X_9075,X_9074) )],[refute_0_348,refute_0_9]) ).
cnf(refute_0_350,plain,
cyclic(X_9076,X_9076,X_9076,X_9077),
inference(subst,[],[refute_0_349:[bind(X_9074,$fot(X_9076)),bind(X_9075,$fot(X_9077))]]) ).
cnf(refute_0_351,plain,
cyclic(X_9076,X_9076,X_9077,X_9077),
inference(resolve,[$cnf( cyclic(X_9076,X_9076,X_9076,X_9077) )],[refute_0_350,refute_0_7]) ).
cnf(refute_0_352,plain,
cyclic(X_9078,X_9078,X_9079,X_9079),
inference(subst,[],[refute_0_351:[bind(X_9076,$fot(X_9078)),bind(X_9077,$fot(X_9079))]]) ).
cnf(refute_0_353,plain,
( ~ cong(X_9078,X_9079,X_9078,X_9079)
| perp(X_9079,X_9078,X_9078,X_9079) ),
inference(resolve,[$cnf( cyclic(X_9078,X_9078,X_9079,X_9079) )],[refute_0_352,refute_0_5]) ).
cnf(refute_0_354,plain,
( ~ midp(X_5858,X_5857,X_5857)
| cong(X_5858,X_5857,X_5858,X_5857) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_5858)),bind(B,$fot(X_5857)),bind(C,$fot(X_5857))]]) ).
cnf(refute_0_355,plain,
( ~ midp(X_5836,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_5836,X_5764,X_5764) ),
inference(subst,[],[refute_0_61:[bind(X_5763,$fot(skolemFOFtoCNF_B_1)),bind(X_5765,$fot(X_5836))]]) ).
cnf(refute_0_356,plain,
( ~ coll(X_5835,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(X_5835,skolemFOFtoCNF_B_1,X_5835,skolemFOFtoCNF_B_1)
| midp(X_5835,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(X_5835)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_357,plain,
( ~ cong(X_5833,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_5833)
| cong(X_5833,skolemFOFtoCNF_B_1,X_5833,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_68:[bind(A,$fot(X_5833)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_5833))]]) ).
cnf(refute_0_358,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_5828,X_5828,skolemFOFtoCNF_B_1)
| cong(X_5828,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_5828) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_5828)),bind(C,$fot(X_5828)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_359,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_5825,skolemFOFtoCNF_B_1,X_5825)
| cong(skolemFOFtoCNF_B_1,X_5825,X_5825,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_68:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_5825)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_5825))]]) ).
cnf(refute_0_360,plain,
cong(skolemFOFtoCNF_B_1,X_5825,X_5825,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_5825,skolemFOFtoCNF_B_1,X_5825) )],[refute_0_329,refute_0_359]) ).
cnf(refute_0_361,plain,
cong(skolemFOFtoCNF_B_1,X_5828,X_5828,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_360:[bind(X_5825,$fot(X_5828))]]) ).
cnf(refute_0_362,plain,
cong(X_5828,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_5828),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_5828,X_5828,skolemFOFtoCNF_B_1) )],[refute_0_361,refute_0_358]) ).
cnf(refute_0_363,plain,
cong(X_5833,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_5833),
inference(subst,[],[refute_0_362:[bind(X_5828,$fot(X_5833))]]) ).
cnf(refute_0_364,plain,
cong(X_5833,skolemFOFtoCNF_B_1,X_5833,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(X_5833,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_5833) )],[refute_0_363,refute_0_357]) ).
cnf(refute_0_365,plain,
cong(X_5835,skolemFOFtoCNF_B_1,X_5835,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_364:[bind(X_5833,$fot(X_5835))]]) ).
cnf(refute_0_366,plain,
( ~ coll(X_5835,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_5835,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(X_5835,skolemFOFtoCNF_B_1,X_5835,skolemFOFtoCNF_B_1) )],[refute_0_365,refute_0_356]) ).
cnf(refute_0_367,plain,
coll(X_5835,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_312:[bind(C,$fot(X_5835)),bind(X_3763,$fot(skolemFOFtoCNF_B_1)),bind(X_3764,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_368,plain,
midp(X_5835,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(X_5835,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_367,refute_0_366]) ).
cnf(refute_0_369,plain,
midp(X_5836,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_368:[bind(X_5835,$fot(X_5836))]]) ).
cnf(refute_0_370,plain,
midp(X_5836,X_5764,X_5764),
inference(resolve,[$cnf( midp(X_5836,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_369,refute_0_355]) ).
cnf(refute_0_371,plain,
midp(X_5858,X_5857,X_5857),
inference(subst,[],[refute_0_370:[bind(X_5764,$fot(X_5857)),bind(X_5836,$fot(X_5858))]]) ).
cnf(refute_0_372,plain,
cong(X_5858,X_5857,X_5858,X_5857),
inference(resolve,[$cnf( midp(X_5858,X_5857,X_5857) )],[refute_0_371,refute_0_354]) ).
cnf(refute_0_373,plain,
cong(X_9078,X_9079,X_9078,X_9079),
inference(subst,[],[refute_0_372:[bind(X_5857,$fot(X_9079)),bind(X_5858,$fot(X_9078))]]) ).
cnf(refute_0_374,plain,
perp(X_9079,X_9078,X_9078,X_9079),
inference(resolve,[$cnf( cong(X_9078,X_9079,X_9078,X_9079) )],[refute_0_373,refute_0_353]) ).
cnf(refute_0_375,plain,
perp(X_9081,X_9080,X_9080,X_9081),
inference(subst,[],[refute_0_374:[bind(X_9078,$fot(X_9080)),bind(X_9079,$fot(X_9081))]]) ).
cnf(refute_0_376,plain,
( ~ midp(M,X_9081,X_9081)
| cong(X_9081,M,X_9080,M) ),
inference(resolve,[$cnf( perp(X_9081,X_9080,X_9080,X_9081) )],[refute_0_375,refute_0_3]) ).
cnf(refute_0_377,plain,
( ~ midp(X_5845,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1)
| midp(X_5845,X_5764,X_5764) ),
inference(subst,[],[refute_0_61:[bind(X_5763,$fot(skolemFOFtoCNF_C1)),bind(X_5765,$fot(X_5845))]]) ).
cnf(refute_0_378,plain,
( ~ coll(X_5844,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1)
| ~ cong(X_5844,skolemFOFtoCNF_C1,X_5844,skolemFOFtoCNF_C1)
| midp(X_5844,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(X_5844)),bind(B,$fot(skolemFOFtoCNF_C1)),bind(C,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_379,plain,
( ~ cong(X_5842,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,X_5842)
| cong(X_5842,skolemFOFtoCNF_C1,X_5842,skolemFOFtoCNF_C1) ),
inference(subst,[],[refute_0_68:[bind(A,$fot(X_5842)),bind(B,$fot(skolemFOFtoCNF_C1)),bind(C,$fot(skolemFOFtoCNF_C1)),bind(D,$fot(X_5842))]]) ).
cnf(refute_0_380,plain,
( ~ cong(skolemFOFtoCNF_C1,X_5837,X_5837,skolemFOFtoCNF_C1)
| cong(X_5837,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,X_5837) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(X_5837)),bind(C,$fot(X_5837)),bind(D,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_381,plain,
( ~ cong(skolemFOFtoCNF_C1,X_5827,skolemFOFtoCNF_C1,X_5827)
| cong(skolemFOFtoCNF_C1,X_5827,X_5827,skolemFOFtoCNF_C1) ),
inference(subst,[],[refute_0_68:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(X_5827)),bind(C,$fot(skolemFOFtoCNF_C1)),bind(D,$fot(X_5827))]]) ).
cnf(refute_0_382,plain,
( ~ midp(skolemFOFtoCNF_C1,X_5823,X_5823)
| cong(skolemFOFtoCNF_C1,X_5823,skolemFOFtoCNF_C1,X_5823) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_C1)),bind(B,$fot(X_5823)),bind(C,$fot(X_5823))]]) ).
cnf(refute_0_383,plain,
( ~ midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_C1,X_5764,X_5764) ),
inference(subst,[],[refute_0_61:[bind(X_5763,$fot(skolemFOFtoCNF_B_1)),bind(X_5765,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_384,plain,
midp(skolemFOFtoCNF_C1,X_5764,X_5764),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_314,refute_0_383]) ).
cnf(refute_0_385,plain,
midp(skolemFOFtoCNF_C1,X_5823,X_5823),
inference(subst,[],[refute_0_384:[bind(X_5764,$fot(X_5823))]]) ).
cnf(refute_0_386,plain,
cong(skolemFOFtoCNF_C1,X_5823,skolemFOFtoCNF_C1,X_5823),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C1,X_5823,X_5823) )],[refute_0_385,refute_0_382]) ).
cnf(refute_0_387,plain,
cong(skolemFOFtoCNF_C1,X_5827,skolemFOFtoCNF_C1,X_5827),
inference(subst,[],[refute_0_386:[bind(X_5823,$fot(X_5827))]]) ).
cnf(refute_0_388,plain,
cong(skolemFOFtoCNF_C1,X_5827,X_5827,skolemFOFtoCNF_C1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C1,X_5827,skolemFOFtoCNF_C1,X_5827) )],[refute_0_387,refute_0_381]) ).
cnf(refute_0_389,plain,
cong(skolemFOFtoCNF_C1,X_5837,X_5837,skolemFOFtoCNF_C1),
inference(subst,[],[refute_0_388:[bind(X_5827,$fot(X_5837))]]) ).
cnf(refute_0_390,plain,
cong(X_5837,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,X_5837),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C1,X_5837,X_5837,skolemFOFtoCNF_C1) )],[refute_0_389,refute_0_380]) ).
cnf(refute_0_391,plain,
cong(X_5842,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,X_5842),
inference(subst,[],[refute_0_390:[bind(X_5837,$fot(X_5842))]]) ).
cnf(refute_0_392,plain,
cong(X_5842,skolemFOFtoCNF_C1,X_5842,skolemFOFtoCNF_C1),
inference(resolve,[$cnf( cong(X_5842,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1,X_5842) )],[refute_0_391,refute_0_379]) ).
cnf(refute_0_393,plain,
cong(X_5844,skolemFOFtoCNF_C1,X_5844,skolemFOFtoCNF_C1),
inference(subst,[],[refute_0_392:[bind(X_5842,$fot(X_5844))]]) ).
cnf(refute_0_394,plain,
( ~ coll(X_5844,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1)
| midp(X_5844,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1) ),
inference(resolve,[$cnf( cong(X_5844,skolemFOFtoCNF_C1,X_5844,skolemFOFtoCNF_C1) )],[refute_0_393,refute_0_378]) ).
cnf(refute_0_395,plain,
coll(X_5844,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),
inference(subst,[],[refute_0_312:[bind(C,$fot(X_5844)),bind(X_3763,$fot(skolemFOFtoCNF_C1)),bind(X_3764,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_396,plain,
midp(X_5844,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),
inference(resolve,[$cnf( coll(X_5844,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1) )],[refute_0_395,refute_0_394]) ).
cnf(refute_0_397,plain,
midp(X_5845,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1),
inference(subst,[],[refute_0_396:[bind(X_5844,$fot(X_5845))]]) ).
cnf(refute_0_398,plain,
midp(X_5845,X_5764,X_5764),
inference(resolve,[$cnf( midp(X_5845,skolemFOFtoCNF_C1,skolemFOFtoCNF_C1) )],[refute_0_397,refute_0_377]) ).
cnf(refute_0_399,plain,
midp(M,X_9081,X_9081),
inference(subst,[],[refute_0_398:[bind(X_5764,$fot(X_9081)),bind(X_5845,$fot(M))]]) ).
cnf(refute_0_400,plain,
cong(X_9081,M,X_9080,M),
inference(resolve,[$cnf( midp(M,X_9081,X_9081) )],[refute_0_399,refute_0_376]) ).
cnf(refute_0_401,plain,
cong(A,P,B,P),
inference(subst,[],[refute_0_400:[bind(M,$fot(P)),bind(X_9080,$fot(B)),bind(X_9081,$fot(A))]]) ).
cnf(refute_0_402,plain,
( ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(resolve,[$cnf( cong(A,P,B,P) )],[refute_0_401,refute_0_1]) ).
cnf(refute_0_403,plain,
cong(A,Q,B,Q),
inference(subst,[],[refute_0_400:[bind(M,$fot(Q)),bind(X_9080,$fot(B)),bind(X_9081,$fot(A))]]) ).
cnf(refute_0_404,plain,
perp(A,B,P,Q),
inference(resolve,[$cnf( cong(A,Q,B,Q) )],[refute_0_403,refute_0_402]) ).
cnf(refute_0_405,plain,
perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A1,skolemFOFtoCNF_B1,skolemFOFtoCNF_C1),
inference(subst,[],[refute_0_404:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(P,$fot(skolemFOFtoCNF_B1)),bind(Q,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_406,plain,
$false,
inference(resolve,[$cnf( perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A1,skolemFOFtoCNF_B1,skolemFOFtoCNF_C1) )],[refute_0_405,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO542+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 08:31:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 91.20/91.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 91.20/91.37
% 91.20/91.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 91.21/91.41
%------------------------------------------------------------------------------