TSTP Solution File: GEO647+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO647+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:28:02 EDT 2022
% Result : Theorem 59.08s 59.31s
% Output : CNFRefutation 59.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 93
% Number of leaves : 32
% Syntax : Number of formulae : 481 ( 200 unt; 0 def)
% Number of atoms : 921 ( 0 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 791 ( 351 ~; 346 |; 60 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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; 0-6 aty)
% Number of variables : 1065 ( 205 sgn 466 !; 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(ruleD44,axiom,
! [A,B,C,E,F] :
( ( midp(E,A,B)
& midp(F,A,C) )
=> para(E,F,B,C) ) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ) ).
fof(ruleD53,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ) ).
fof(ruleX6,axiom,
! [A,B,C,D,M,N] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D) )
=> ( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(ruleX10,axiom,
! [A,B,C,H] :
? [P,Q] :
( ( perp(A,H,B,C)
& perp(B,H,A,C) )
=> ( coll(P,C,B)
& perp(A,P,C,B)
& coll(Q,C,A)
& perp(B,Q,C,A) ) ) ).
fof(ruleX11,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ) ).
fof(exemplo6GDDFULLmoreE0156,conjecture,
! [A,B,C,D,E,F,G] :
( ( midp(D,A,C)
& midp(E,B,A)
& midp(F,C,B)
& para(A,F,G,D)
& para(A,C,G,F) )
=> para(C,E,G,B) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E,F,G] :
( ( midp(D,A,C)
& midp(E,B,A)
& midp(F,C,B)
& para(A,F,G,D)
& para(A,C,G,F) )
=> para(C,E,G,B) ),
inference(strip,[],[exemplo6GDDFULLmoreE0156]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E,F,G] :
( ( midp(D,A,C)
& midp(E,B,A)
& midp(F,C,B)
& para(A,F,G,D)
& para(A,C,G,F) )
=> para(C,E,G,B) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F,G] :
( ~ para(C,E,G,B)
& midp(D,A,C)
& midp(E,B,A)
& midp(F,C,B)
& para(A,C,G,F)
& para(A,F,G,D) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
& midp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_F)
& para(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_D) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C,E,F] :
( ~ midp(E,A,B)
| ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(canonicalize,[],[ruleD44]) ).
fof(normalize_0_4,plain,
! [A,B,C,E,F] :
( ~ midp(E,A,B)
| ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_6,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_8,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_10,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[ruleD52]) ).
fof(normalize_0_12,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[ruleD57]) ).
fof(normalize_0_14,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[ruleD17]) ).
fof(normalize_0_16,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_18,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_20,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_22,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A,B,C,D,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[ruleD13]) ).
fof(normalize_0_24,plain,
! [A,B,C,D,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_26,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(canonicalize,[],[ruleX7]) ).
fof(normalize_0_28,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [A,B,C,D,M,N,Q] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(clausify,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_31,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_33,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_35,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD39]) ).
fof(normalize_0_37,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [A,B,C,D,P,Q] :
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(clausify,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[ruleD41]) ).
fof(normalize_0_40,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
midp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_42,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_43,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_42]) ).
fof(normalize_0_44,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD40]) ).
fof(normalize_0_45,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_44]) ).
fof(normalize_0_46,plain,
! [A,B,C,D,P,Q] :
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(clausify,[],[normalize_0_45]) ).
fof(normalize_0_47,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[ruleD19]) ).
fof(normalize_0_48,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(specialize,[],[normalize_0_47]) ).
fof(normalize_0_49,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[ruleD64]) ).
fof(normalize_0_50,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(specialize,[],[normalize_0_49]) ).
fof(normalize_0_51,plain,
midp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_52,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| ? [P] :
( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ),
inference(canonicalize,[],[ruleX6]) ).
fof(normalize_0_53,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| ? [P] :
( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ),
inference(specialize,[],[normalize_0_52]) ).
fof(normalize_0_54,plain,
! [A,B,C,D,M,N] :
( ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) )
& ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| para(skolemFOFtoCNF_P(A,B,C,D,M,N),M,B,D) )
& ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| para(skolemFOFtoCNF_P(A,B,C,D,M,N),N,A,C) ) ),
inference(clausify,[],[normalize_0_53]) ).
fof(normalize_0_55,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(conjunct,[],[normalize_0_54]) ).
fof(normalize_0_56,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_57,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_56]) ).
fof(normalize_0_58,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_59,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_58]) ).
fof(normalize_0_60,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[ruleD12]) ).
fof(normalize_0_61,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_60]) ).
fof(normalize_0_62,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[ruleD53]) ).
fof(normalize_0_63,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_62]) ).
fof(normalize_0_64,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_65,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_64]) ).
fof(normalize_0_66,plain,
midp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
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,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_75,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_74]) ).
cnf(refute_0_0,plain,
~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ midp(E,A,B)
| ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ coll(X_5315,X_5316,X_5317)
| ~ cong(X_5315,X_5316,X_5315,X_5317)
| midp(X_5315,X_5316,X_5317) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5315)),bind(B,$fot(X_5316)),bind(C,$fot(X_5317))]]) ).
cnf(refute_0_4,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ cong(X_5277,X_5278,X_5279,X_5277)
| cong(X_5277,X_5278,X_5277,X_5279) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5277)),bind(B,$fot(X_5278)),bind(C,$fot(X_5279)),bind(D,$fot(X_5277))]]) ).
cnf(refute_0_6,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ cong(X_5256,X_5254,X_5254,X_5255)
| cong(X_5254,X_5255,X_5256,X_5254) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_5256)),bind(B,$fot(X_5254)),bind(C,$fot(X_5254)),bind(D,$fot(X_5255))]]) ).
cnf(refute_0_8,plain,
( ~ cong(X_5253,X_5251,X_5252,X_5251)
| cong(X_5253,X_5251,X_5251,X_5252) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5253)),bind(B,$fot(X_5251)),bind(C,$fot(X_5252)),bind(D,$fot(X_5251))]]) ).
cnf(refute_0_9,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ midp(M,X_5234,X_5234)
| ~ perp(X_5234,X_5233,X_5233,X_5234)
| cong(X_5234,M,X_5233,M) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_5234)),bind(B,$fot(X_5233)),bind(C,$fot(X_5234))]]) ).
cnf(refute_0_11,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_12,plain,
( ~ cong(X_5231,X_5232,X_5231,X_5232)
| ~ cyclic(X_5231,X_5231,X_5232,X_5232)
| perp(X_5232,X_5231,X_5231,X_5232) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_5231)),bind(B,$fot(X_5231)),bind(P,$fot(X_5232)),bind(Q,$fot(X_5232))]]) ).
cnf(refute_0_13,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_14,plain,
( ~ cyclic(X_5229,X_5229,X_5229,X_5230)
| cyclic(X_5229,X_5229,X_5230,X_5230) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_5229)),bind(B,$fot(X_5229)),bind(C,$fot(X_5229)),bind(D,$fot(X_5230)),bind(E,$fot(X_5230))]]) ).
cnf(refute_0_15,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_16,plain,
( ~ cyclic(X_5227,X_5227,X_5228,X_5227)
| cyclic(X_5227,X_5227,X_5227,X_5228) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_5227)),bind(B,$fot(X_5227)),bind(C,$fot(X_5228)),bind(D,$fot(X_5227))]]) ).
cnf(refute_0_17,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_18,plain,
( ~ cyclic(X_5225,X_5226,X_5225,X_5225)
| cyclic(X_5225,X_5225,X_5226,X_5225) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_5225)),bind(B,$fot(X_5226)),bind(C,$fot(X_5225)),bind(D,$fot(X_5225))]]) ).
cnf(refute_0_19,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_20,plain,
( ~ cyclic(X_5224,X_5223,X_5223,X_5223)
| cyclic(X_5223,X_5224,X_5223,X_5223) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_5224)),bind(B,$fot(X_5223)),bind(C,$fot(X_5223)),bind(D,$fot(X_5223))]]) ).
cnf(refute_0_21,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_22,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_5222,X_5221),X_5222,skolemFOFtoCNF_P_1(X_5222,X_5221),X_5221)
| cyclic(X_5222,X_5221,X_5221,X_5221) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_5222)),bind(B,$fot(X_5221)),bind(C,$fot(X_5221)),bind(D,$fot(X_5221)),bind(O,$fot(skolemFOFtoCNF_P_1(X_5222,X_5221)))]]) ).
cnf(refute_0_23,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_24,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_4093,X_4092),X_4093,X_4092)
| cong(skolemFOFtoCNF_P_1(X_4093,X_4092),X_4093,skolemFOFtoCNF_P_1(X_4093,X_4092),X_4092) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P_1(X_4093,X_4092))),bind(B,$fot(X_4093)),bind(C,$fot(X_4092))]]) ).
cnf(refute_0_25,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_26,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_27,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_28,plain,
( ~ coll(X_609,X_609,X_608)
| coll(X_609,X_608,X_609) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_609)),bind(B,$fot(X_609)),bind(C,$fot(X_608))]]) ).
cnf(refute_0_29,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_30,plain,
( ~ coll(X_606,X_607,X_607)
| coll(X_607,X_607,X_606) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_606)),bind(B,$fot(X_607)),bind(C,$fot(X_607)),bind(D,$fot(X_607))]]) ).
cnf(refute_0_31,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_32,plain,
( ~ para(X_601,X_602,X_601,X_602)
| coll(X_601,X_602,X_602) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_601)),bind(B,$fot(X_602)),bind(C,$fot(X_602))]]) ).
cnf(refute_0_33,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_34,plain,
( ~ eqangle(X_599,X_600,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_599,X_600,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_599,X_600,X_599,X_600) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_599)),bind(B,$fot(X_600)),bind(C,$fot(X_599)),bind(D,$fot(X_600)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_35,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_36,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_35:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_37,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_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_38,plain,
( ~ cong(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_39,plain,
midp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_40,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_41,plain,
( ~ midp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_42,plain,
midp(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_39,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ midp(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_44,plain,
cong(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_44,refute_0_38]) ).
cnf(refute_0_46,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_45,refute_0_37]) ).
cnf(refute_0_47,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_46,refute_0_36]) ).
cnf(refute_0_48,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_49,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_51,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_156,X_157,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_156,X_157) ),
inference(subst,[],[refute_0_50:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(X_156)),bind(Q,$fot(X_157))]]) ).
cnf(refute_0_52,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_156,X_157,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_156,X_157),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_49,refute_0_51]) ).
cnf(refute_0_53,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_597,X_598,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_597,X_598),
inference(subst,[],[refute_0_52:[bind(X_156,$fot(X_597)),bind(X_157,$fot(X_598))]]) ).
cnf(refute_0_54,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_55,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_597,X_598,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_597,X_598)
| eqangle(X_597,X_598,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_597,X_598,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_54:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_597)),bind(D,$fot(X_598)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_597)),bind(V,$fot(X_598))]]) ).
cnf(refute_0_56,plain,
eqangle(X_597,X_598,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_597,X_598,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_597,X_598,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_597,X_598) )],[refute_0_53,refute_0_55]) ).
cnf(refute_0_57,plain,
eqangle(X_599,X_600,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_599,X_600,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_56:[bind(X_597,$fot(X_599)),bind(X_598,$fot(X_600))]]) ).
cnf(refute_0_58,plain,
para(X_599,X_600,X_599,X_600),
inference(resolve,[$cnf( eqangle(X_599,X_600,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_599,X_600,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_57,refute_0_34]) ).
cnf(refute_0_59,plain,
para(X_601,X_602,X_601,X_602),
inference(subst,[],[refute_0_58:[bind(X_599,$fot(X_601)),bind(X_600,$fot(X_602))]]) ).
cnf(refute_0_60,plain,
coll(X_601,X_602,X_602),
inference(resolve,[$cnf( para(X_601,X_602,X_601,X_602) )],[refute_0_59,refute_0_32]) ).
cnf(refute_0_61,plain,
coll(X_606,X_607,X_607),
inference(subst,[],[refute_0_60:[bind(X_601,$fot(X_606)),bind(X_602,$fot(X_607))]]) ).
cnf(refute_0_62,plain,
coll(X_607,X_607,X_606),
inference(resolve,[$cnf( coll(X_606,X_607,X_607) )],[refute_0_61,refute_0_30]) ).
cnf(refute_0_63,plain,
coll(X_609,X_609,X_608),
inference(subst,[],[refute_0_62:[bind(X_606,$fot(X_608)),bind(X_607,$fot(X_609))]]) ).
cnf(refute_0_64,plain,
coll(X_609,X_608,X_609),
inference(resolve,[$cnf( coll(X_609,X_609,X_608) )],[refute_0_63,refute_0_28]) ).
cnf(refute_0_65,plain,
coll(D,D,D),
inference(subst,[],[refute_0_64:[bind(X_608,$fot(D)),bind(X_609,$fot(D))]]) ).
cnf(refute_0_66,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_65,refute_0_26]) ).
cnf(refute_0_67,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_4051,X_4051)
| midp(skolemFOFtoCNF_P_1(X_4051,Q),X_4051,Q) ),
inference(subst,[],[refute_0_66:[bind(D,$fot(X_4051)),bind(N,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_68,plain,
para(X_3906,X_3907,X_3906,X_3907),
inference(subst,[],[refute_0_58:[bind(X_599,$fot(X_3906)),bind(X_600,$fot(X_3907))]]) ).
cnf(refute_0_69,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_70,plain,
( ~ midp(X_3908,X_3906,X_3906)
| ~ para(X_3906,X_3907,X_3906,X_3907)
| midp(X_3908,X_3907,X_3907) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(X_3906)),bind(B,$fot(X_3906)),bind(C,$fot(X_3907)),bind(D,$fot(X_3907)),bind(M,$fot(X_3908))]]) ).
cnf(refute_0_71,plain,
( ~ midp(X_3908,X_3906,X_3906)
| midp(X_3908,X_3907,X_3907) ),
inference(resolve,[$cnf( para(X_3906,X_3907,X_3906,X_3907) )],[refute_0_68,refute_0_70]) ).
cnf(refute_0_72,plain,
( ~ midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F))
| midp(skolemFOFtoCNF_B_1,X_3907,X_3907) ),
inference(subst,[],[refute_0_71:[bind(X_3906,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F))),bind(X_3908,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_73,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F))
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F))
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F))),bind(C,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_74,plain,
midp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_75,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_76,plain,
midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_78,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_F)),bind(N,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_79,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_76,refute_0_78]) ).
cnf(refute_0_80,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| ~ perp(skolemFOFtoCNF_B_1,X_3948,X_3948,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),X_3948,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_3948)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_81,plain,
( ~ perp(skolemFOFtoCNF_B_1,X_3948,X_3948,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),X_3948,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)) ),
inference(subst,[],[refute_0_81:[bind(X_3948,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_83,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_84,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_85,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_86,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_87,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_88,plain,
( ~ cong(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
| circle(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_89,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_90,plain,
cong(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_74,refute_0_89]) ).
cnf(refute_0_91,plain,
circle(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) )],[refute_0_90,refute_0_88]) ).
cnf(refute_0_92,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_93,plain,
( ~ coll(X_3893,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),C)
| ~ coll(X_3893,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),X_3894)
| coll(C,X_3894,X_3893) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3893)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E))),bind(D,$fot(X_3894))]]) ).
cnf(refute_0_94,plain,
( ~ coll(X_3864,skolemFOFtoCNF_B_1,C)
| ~ coll(X_3864,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E))
| coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),X_3864) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3864)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_95,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_96,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_3862,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E))
| coll(X_3862,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_3862)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_97,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E))
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E))),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_98,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)),skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E))),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)))),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_99,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E))),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_100,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E))),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_101,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_102,plain,
( ~ cong(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A)
| circle(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_103,plain,
midp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_104,plain,
( ~ midp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_105,plain,
cong(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
circle(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A) )],[refute_0_105,refute_0_102]) ).
cnf(refute_0_107,plain,
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_108,plain,
( ~ circle(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_107:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_109,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_106,refute_0_108]) ).
cnf(refute_0_110,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_109,refute_0_101]) ).
cnf(refute_0_111,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_B_1) )],[refute_0_110,refute_0_100]) ).
cnf(refute_0_112,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_113,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E))
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_112:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E))),bind(H,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_114,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)) )],[refute_0_111,refute_0_113]) ).
cnf(refute_0_115,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_B_1) )],[refute_0_114,refute_0_99]) ).
cnf(refute_0_116,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)),skolemFOFtoCNF_B_1) )],[refute_0_115,refute_0_98]) ).
cnf(refute_0_117,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)) )],[refute_0_116,refute_0_97]) ).
cnf(refute_0_118,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),X_3782)
| ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_3782,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E))),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3782))]]) ).
cnf(refute_0_119,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),X_3782)
| coll(skolemFOFtoCNF_B_1,X_3782,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_B_1) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),X_3782),
inference(subst,[],[refute_0_62:[bind(X_606,$fot(X_3782)),bind(X_607,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_121,plain,
coll(skolemFOFtoCNF_B_1,X_3782,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),X_3782) )],[refute_0_120,refute_0_119]) ).
cnf(refute_0_122,plain,
coll(skolemFOFtoCNF_B_1,X_3862,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)),
inference(subst,[],[refute_0_121:[bind(X_3782,$fot(X_3862))]]) ).
cnf(refute_0_123,plain,
coll(X_3862,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_3862,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)) )],[refute_0_122,refute_0_96]) ).
cnf(refute_0_124,plain,
coll(X_3864,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)),
inference(subst,[],[refute_0_123:[bind(X_3862,$fot(X_3864))]]) ).
cnf(refute_0_125,plain,
( ~ coll(X_3864,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),X_3864) ),
inference(resolve,[$cnf( coll(X_3864,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)) )],[refute_0_124,refute_0_94]) ).
cnf(refute_0_126,plain,
( ~ coll(X_3826,skolemFOFtoCNF_E,C)
| ~ coll(X_3826,skolemFOFtoCNF_E,X_3827)
| coll(C,X_3827,X_3826) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3826)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_3827))]]) ).
cnf(refute_0_127,plain,
( ~ coll(X_3825,skolemFOFtoCNF_A,C)
| ~ coll(X_3825,skolemFOFtoCNF_A,skolemFOFtoCNF_E)
| coll(C,skolemFOFtoCNF_E,X_3825) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3825)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_128,plain,
( ~ coll(skolemFOFtoCNF_A,X_3792,skolemFOFtoCNF_E)
| coll(X_3792,skolemFOFtoCNF_A,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3792)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_129,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_130,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_131,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_132,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_133,plain,
( ~ midp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_132:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_134,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_103,refute_0_133]) ).
cnf(refute_0_135,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_134,refute_0_131]) ).
cnf(refute_0_136,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A) )],[refute_0_135,refute_0_130]) ).
cnf(refute_0_137,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_E) )],[refute_0_136,refute_0_129]) ).
cnf(refute_0_138,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_139,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3782)
| ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_3782,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3782))]]) ).
cnf(refute_0_141,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3782)
| coll(skolemFOFtoCNF_A,X_3782,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_A) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3782),
inference(subst,[],[refute_0_62:[bind(X_606,$fot(X_3782)),bind(X_607,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_143,plain,
coll(skolemFOFtoCNF_A,X_3782,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3782) )],[refute_0_142,refute_0_141]) ).
cnf(refute_0_144,plain,
coll(skolemFOFtoCNF_A,X_3792,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_143:[bind(X_3782,$fot(X_3792))]]) ).
cnf(refute_0_145,plain,
coll(X_3792,skolemFOFtoCNF_A,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3792,skolemFOFtoCNF_E) )],[refute_0_144,refute_0_128]) ).
cnf(refute_0_146,plain,
coll(X_3825,skolemFOFtoCNF_A,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_145:[bind(X_3792,$fot(X_3825))]]) ).
cnf(refute_0_147,plain,
( ~ coll(X_3825,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_E,X_3825) ),
inference(resolve,[$cnf( coll(X_3825,skolemFOFtoCNF_A,skolemFOFtoCNF_E) )],[refute_0_146,refute_0_127]) ).
cnf(refute_0_148,plain,
( ~ coll(X_3813,skolemFOFtoCNF_C_1,C)
| ~ coll(X_3813,skolemFOFtoCNF_C_1,X_3814)
| coll(C,X_3814,X_3813) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3813)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3814))]]) ).
cnf(refute_0_149,plain,
( ~ coll(X_3794,X_3795,skolemFOFtoCNF_C_1)
| coll(X_3794,skolemFOFtoCNF_C_1,X_3795) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_3794)),bind(B,$fot(X_3795)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_150,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,C)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,X_3791)
| coll(C,X_3791,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_3791))]]) ).
cnf(refute_0_151,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_3790,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,X_3790) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3790)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_152,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_153,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_154,plain,
( ~ midp(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_132:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_155,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_154]) ).
cnf(refute_0_156,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_155,refute_0_153]) ).
cnf(refute_0_157,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_156,refute_0_152]) ).
cnf(refute_0_158,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_159,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3782)
| ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_3782,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3782))]]) ).
cnf(refute_0_161,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3782)
| coll(skolemFOFtoCNF_C_1,X_3782,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3782),
inference(subst,[],[refute_0_62:[bind(X_606,$fot(X_3782)),bind(X_607,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_163,plain,
coll(skolemFOFtoCNF_C_1,X_3782,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3782) )],[refute_0_162,refute_0_161]) ).
cnf(refute_0_164,plain,
coll(skolemFOFtoCNF_C_1,X_3790,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_163:[bind(X_3782,$fot(X_3790))]]) ).
cnf(refute_0_165,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,X_3790),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_3790,skolemFOFtoCNF_D) )],[refute_0_164,refute_0_151]) ).
cnf(refute_0_166,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,X_3791),
inference(subst,[],[refute_0_165:[bind(X_3790,$fot(X_3791))]]) ).
cnf(refute_0_167,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,C)
| coll(C,X_3791,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,X_3791) )],[refute_0_166,refute_0_150]) ).
cnf(refute_0_168,plain,
coll(X_3780,X_3780,X_3781),
inference(subst,[],[refute_0_62:[bind(X_606,$fot(X_3781)),bind(X_607,$fot(X_3780))]]) ).
cnf(refute_0_169,plain,
( ~ coll(X_3780,X_3780,X_3781)
| ~ coll(X_3780,X_3780,X_3782)
| coll(X_3781,X_3782,X_3780) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3780)),bind(B,$fot(X_3780)),bind(C,$fot(X_3781)),bind(D,$fot(X_3782))]]) ).
cnf(refute_0_170,plain,
( ~ coll(X_3780,X_3780,X_3782)
| coll(X_3781,X_3782,X_3780) ),
inference(resolve,[$cnf( coll(X_3780,X_3780,X_3781) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
coll(X_3780,X_3780,X_3782),
inference(subst,[],[refute_0_62:[bind(X_606,$fot(X_3782)),bind(X_607,$fot(X_3780))]]) ).
cnf(refute_0_172,plain,
coll(X_3781,X_3782,X_3780),
inference(resolve,[$cnf( coll(X_3780,X_3780,X_3782) )],[refute_0_171,refute_0_170]) ).
cnf(refute_0_173,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_172:[bind(X_3780,$fot(C)),bind(X_3781,$fot(skolemFOFtoCNF_C_1)),bind(X_3782,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_174,plain,
coll(C,X_3791,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,C) )],[refute_0_173,refute_0_167]) ).
cnf(refute_0_175,plain,
coll(X_3794,X_3795,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_174:[bind(C,$fot(X_3794)),bind(X_3791,$fot(X_3795))]]) ).
cnf(refute_0_176,plain,
coll(X_3794,skolemFOFtoCNF_C_1,X_3795),
inference(resolve,[$cnf( coll(X_3794,X_3795,skolemFOFtoCNF_C_1) )],[refute_0_175,refute_0_149]) ).
cnf(refute_0_177,plain,
coll(X_3813,skolemFOFtoCNF_C_1,X_3814),
inference(subst,[],[refute_0_176:[bind(X_3794,$fot(X_3813)),bind(X_3795,$fot(X_3814))]]) ).
cnf(refute_0_178,plain,
( ~ coll(X_3813,skolemFOFtoCNF_C_1,C)
| coll(C,X_3814,X_3813) ),
inference(resolve,[$cnf( coll(X_3813,skolemFOFtoCNF_C_1,X_3814) )],[refute_0_177,refute_0_148]) ).
cnf(refute_0_179,plain,
coll(X_3813,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_172:[bind(X_3780,$fot(C)),bind(X_3781,$fot(X_3813)),bind(X_3782,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_180,plain,
coll(C,X_3814,X_3813),
inference(resolve,[$cnf( coll(X_3813,skolemFOFtoCNF_C_1,C) )],[refute_0_179,refute_0_178]) ).
cnf(refute_0_181,plain,
coll(X_3825,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_180:[bind(C,$fot(X_3825)),bind(X_3813,$fot(C)),bind(X_3814,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_182,plain,
coll(C,skolemFOFtoCNF_E,X_3825),
inference(resolve,[$cnf( coll(X_3825,skolemFOFtoCNF_A,C) )],[refute_0_181,refute_0_147]) ).
cnf(refute_0_183,plain,
coll(X_3826,skolemFOFtoCNF_E,X_3827),
inference(subst,[],[refute_0_182:[bind(C,$fot(X_3826)),bind(X_3825,$fot(X_3827))]]) ).
cnf(refute_0_184,plain,
( ~ coll(X_3826,skolemFOFtoCNF_E,C)
| coll(C,X_3827,X_3826) ),
inference(resolve,[$cnf( coll(X_3826,skolemFOFtoCNF_E,X_3827) )],[refute_0_183,refute_0_126]) ).
cnf(refute_0_185,plain,
coll(X_3826,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_180:[bind(C,$fot(X_3826)),bind(X_3813,$fot(C)),bind(X_3814,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_186,plain,
coll(C,X_3827,X_3826),
inference(resolve,[$cnf( coll(X_3826,skolemFOFtoCNF_E,C) )],[refute_0_185,refute_0_184]) ).
cnf(refute_0_187,plain,
coll(X_3864,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_186:[bind(C,$fot(X_3864)),bind(X_3826,$fot(C)),bind(X_3827,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_188,plain,
coll(C,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),X_3864),
inference(resolve,[$cnf( coll(X_3864,skolemFOFtoCNF_B_1,C) )],[refute_0_187,refute_0_125]) ).
cnf(refute_0_189,plain,
coll(X_3893,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),X_3894),
inference(subst,[],[refute_0_188:[bind(C,$fot(X_3893)),bind(X_3864,$fot(X_3894))]]) ).
cnf(refute_0_190,plain,
( ~ coll(X_3893,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),C)
| coll(C,X_3894,X_3893) ),
inference(resolve,[$cnf( coll(X_3893,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),X_3894) )],[refute_0_189,refute_0_93]) ).
cnf(refute_0_191,plain,
( ~ coll(X_3889,skolemFOFtoCNF_A,C)
| ~ coll(X_3889,skolemFOFtoCNF_A,X_3890)
| coll(C,X_3890,X_3889) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3889)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3890))]]) ).
cnf(refute_0_192,plain,
( ~ coll(X_3819,skolemFOFtoCNF_D,C)
| ~ coll(X_3819,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,X_3819) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3819)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_193,plain,
( ~ coll(skolemFOFtoCNF_A,X_3807,C)
| ~ coll(skolemFOFtoCNF_A,X_3807,skolemFOFtoCNF_D)
| coll(C,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3807)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_194,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_195,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_157,refute_0_194]) ).
cnf(refute_0_196,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_197,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3782)
| ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_3782,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3782))]]) ).
cnf(refute_0_199,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3782)
| coll(skolemFOFtoCNF_A,X_3782,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
coll(skolemFOFtoCNF_A,X_3782,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3782) )],[refute_0_162,refute_0_199]) ).
cnf(refute_0_201,plain,
coll(skolemFOFtoCNF_A,X_3807,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_200:[bind(X_3782,$fot(X_3807))]]) ).
cnf(refute_0_202,plain,
( ~ coll(skolemFOFtoCNF_A,X_3807,C)
| coll(C,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3807,skolemFOFtoCNF_D) )],[refute_0_201,refute_0_193]) ).
cnf(refute_0_203,plain,
coll(skolemFOFtoCNF_A,X_3807,C),
inference(subst,[],[refute_0_172:[bind(X_3780,$fot(C)),bind(X_3781,$fot(skolemFOFtoCNF_A)),bind(X_3782,$fot(X_3807))]]) ).
cnf(refute_0_204,plain,
coll(C,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3807,C) )],[refute_0_203,refute_0_202]) ).
cnf(refute_0_205,plain,
coll(X_3819,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_204:[bind(C,$fot(X_3819))]]) ).
cnf(refute_0_206,plain,
( ~ coll(X_3819,skolemFOFtoCNF_D,C)
| coll(C,skolemFOFtoCNF_A,X_3819) ),
inference(resolve,[$cnf( coll(X_3819,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_205,refute_0_192]) ).
cnf(refute_0_207,plain,
coll(X_3819,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_180:[bind(C,$fot(X_3819)),bind(X_3813,$fot(C)),bind(X_3814,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_208,plain,
coll(C,skolemFOFtoCNF_A,X_3819),
inference(resolve,[$cnf( coll(X_3819,skolemFOFtoCNF_D,C) )],[refute_0_207,refute_0_206]) ).
cnf(refute_0_209,plain,
coll(X_3889,skolemFOFtoCNF_A,X_3890),
inference(subst,[],[refute_0_208:[bind(C,$fot(X_3889)),bind(X_3819,$fot(X_3890))]]) ).
cnf(refute_0_210,plain,
( ~ coll(X_3889,skolemFOFtoCNF_A,C)
| coll(C,X_3890,X_3889) ),
inference(resolve,[$cnf( coll(X_3889,skolemFOFtoCNF_A,X_3890) )],[refute_0_209,refute_0_191]) ).
cnf(refute_0_211,plain,
( ~ coll(X_3883,skolemFOFtoCNF_B_1,C)
| ~ coll(X_3883,skolemFOFtoCNF_B_1,X_3884)
| coll(C,X_3884,X_3883) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3883)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3884))]]) ).
cnf(refute_0_212,plain,
( ~ coll(X_3881,X_3882,skolemFOFtoCNF_B_1)
| coll(X_3881,skolemFOFtoCNF_B_1,X_3882) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_3881)),bind(B,$fot(X_3882)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_213,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),C)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),X_3844)
| coll(C,X_3844,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F))),bind(D,$fot(X_3844))]]) ).
cnf(refute_0_214,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_3840,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F))
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),X_3840) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_3840)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_215,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F))
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F))),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_216,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)),skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F))),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)))),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_217,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F))),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_218,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F))),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_219,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F))),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_220,plain,
( ~ perp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F))
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_221,plain,
( ~ perp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F))),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_222,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_223,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_224,plain,
( ~ cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1)
| circle(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_225,plain,
( ~ cong(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_226,plain,
cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) )],[refute_0_90,refute_0_225]) ).
cnf(refute_0_227,plain,
circle(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) )],[refute_0_226,refute_0_224]) ).
cnf(refute_0_228,plain,
( ~ circle(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_107:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_229,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_229,refute_0_223]) ).
cnf(refute_0_231,plain,
perp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) )],[refute_0_230,refute_0_222]) ).
cnf(refute_0_232,plain,
perp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1) )],[refute_0_231,refute_0_221]) ).
cnf(refute_0_233,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)) )],[refute_0_232,refute_0_220]) ).
cnf(refute_0_234,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) )],[refute_0_233,refute_0_219]) ).
cnf(refute_0_235,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_234,refute_0_218]) ).
cnf(refute_0_236,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F))
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_112:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F))),bind(H,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_237,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1) )],[refute_0_237,refute_0_217]) ).
cnf(refute_0_239,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)),skolemFOFtoCNF_B_1) )],[refute_0_238,refute_0_216]) ).
cnf(refute_0_240,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)) )],[refute_0_239,refute_0_215]) ).
cnf(refute_0_241,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),X_3782)
| ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_3782,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F))),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3782))]]) ).
cnf(refute_0_242,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),X_3782)
| coll(skolemFOFtoCNF_B_1,X_3782,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),X_3782),
inference(subst,[],[refute_0_62:[bind(X_606,$fot(X_3782)),bind(X_607,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_244,plain,
coll(skolemFOFtoCNF_B_1,X_3782,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),X_3782) )],[refute_0_243,refute_0_242]) ).
cnf(refute_0_245,plain,
coll(skolemFOFtoCNF_B_1,X_3840,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)),
inference(subst,[],[refute_0_244:[bind(X_3782,$fot(X_3840))]]) ).
cnf(refute_0_246,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),X_3840),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_3840,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)) )],[refute_0_245,refute_0_214]) ).
cnf(refute_0_247,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),X_3844),
inference(subst,[],[refute_0_246:[bind(X_3840,$fot(X_3844))]]) ).
cnf(refute_0_248,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),C)
| coll(C,X_3844,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),X_3844) )],[refute_0_247,refute_0_213]) ).
cnf(refute_0_249,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),C),
inference(subst,[],[refute_0_186:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_3826,$fot(C)),bind(X_3827,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_250,plain,
coll(C,X_3844,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),C) )],[refute_0_249,refute_0_248]) ).
cnf(refute_0_251,plain,
coll(X_3881,X_3882,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_250:[bind(C,$fot(X_3881)),bind(X_3844,$fot(X_3882))]]) ).
cnf(refute_0_252,plain,
coll(X_3881,skolemFOFtoCNF_B_1,X_3882),
inference(resolve,[$cnf( coll(X_3881,X_3882,skolemFOFtoCNF_B_1) )],[refute_0_251,refute_0_212]) ).
cnf(refute_0_253,plain,
coll(X_3883,skolemFOFtoCNF_B_1,X_3884),
inference(subst,[],[refute_0_252:[bind(X_3881,$fot(X_3883)),bind(X_3882,$fot(X_3884))]]) ).
cnf(refute_0_254,plain,
( ~ coll(X_3883,skolemFOFtoCNF_B_1,C)
| coll(C,X_3884,X_3883) ),
inference(resolve,[$cnf( coll(X_3883,skolemFOFtoCNF_B_1,X_3884) )],[refute_0_253,refute_0_211]) ).
cnf(refute_0_255,plain,
( ~ coll(X_3879,skolemFOFtoCNF_D,C)
| ~ coll(X_3879,skolemFOFtoCNF_D,X_3880)
| coll(C,X_3880,X_3879) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3879)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_3880))]]) ).
cnf(refute_0_256,plain,
( ~ coll(X_3842,X_3843,skolemFOFtoCNF_D)
| coll(X_3842,skolemFOFtoCNF_D,X_3843) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_3842)),bind(B,$fot(X_3843)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_257,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,C)
| ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,X_3796)
| coll(C,X_3796,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3796))]]) ).
cnf(refute_0_258,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,X_3791)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,X_3791) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(X_3791))]]) ).
cnf(refute_0_259,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,X_3791),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,X_3791) )],[refute_0_166,refute_0_258]) ).
cnf(refute_0_260,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,X_3796),
inference(subst,[],[refute_0_259:[bind(X_3791,$fot(X_3796))]]) ).
cnf(refute_0_261,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,C)
| coll(C,X_3796,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,X_3796) )],[refute_0_260,refute_0_257]) ).
cnf(refute_0_262,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_172:[bind(X_3780,$fot(C)),bind(X_3781,$fot(skolemFOFtoCNF_D)),bind(X_3782,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_263,plain,
coll(C,X_3796,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,C) )],[refute_0_262,refute_0_261]) ).
cnf(refute_0_264,plain,
coll(X_3842,X_3843,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_263:[bind(C,$fot(X_3842)),bind(X_3796,$fot(X_3843))]]) ).
cnf(refute_0_265,plain,
coll(X_3842,skolemFOFtoCNF_D,X_3843),
inference(resolve,[$cnf( coll(X_3842,X_3843,skolemFOFtoCNF_D) )],[refute_0_264,refute_0_256]) ).
cnf(refute_0_266,plain,
coll(X_3879,skolemFOFtoCNF_D,X_3880),
inference(subst,[],[refute_0_265:[bind(X_3842,$fot(X_3879)),bind(X_3843,$fot(X_3880))]]) ).
cnf(refute_0_267,plain,
( ~ coll(X_3879,skolemFOFtoCNF_D,C)
| coll(C,X_3880,X_3879) ),
inference(resolve,[$cnf( coll(X_3879,skolemFOFtoCNF_D,X_3880) )],[refute_0_266,refute_0_255]) ).
cnf(refute_0_268,plain,
( ~ coll(X_3874,skolemFOFtoCNF_F,C)
| ~ coll(X_3874,skolemFOFtoCNF_F,X_3875)
| coll(C,X_3875,X_3874) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3874)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_3875))]]) ).
cnf(refute_0_269,plain,
( ~ coll(X_3872,X_3873,skolemFOFtoCNF_F)
| coll(X_3872,skolemFOFtoCNF_F,X_3873) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_3872)),bind(B,$fot(X_3873)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_270,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,C)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,X_3824)
| coll(C,X_3824,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3824))]]) ).
cnf(refute_0_271,plain,
( ~ coll(skolemFOFtoCNF_F,X_3806,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,X_3806) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(X_3806)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_272,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_132:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_273,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_74,refute_0_272]) ).
cnf(refute_0_274,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_275,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3782)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,X_3782,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_3782))]]) ).
cnf(refute_0_277,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3782)
| coll(skolemFOFtoCNF_F,X_3782,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3782),
inference(subst,[],[refute_0_62:[bind(X_606,$fot(X_3782)),bind(X_607,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_279,plain,
coll(skolemFOFtoCNF_F,X_3782,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3782) )],[refute_0_278,refute_0_277]) ).
cnf(refute_0_280,plain,
coll(skolemFOFtoCNF_F,X_3806,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_279:[bind(X_3782,$fot(X_3806))]]) ).
cnf(refute_0_281,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,X_3806),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,X_3806,skolemFOFtoCNF_B_1) )],[refute_0_280,refute_0_271]) ).
cnf(refute_0_282,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,X_3824),
inference(subst,[],[refute_0_281:[bind(X_3806,$fot(X_3824))]]) ).
cnf(refute_0_283,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,C)
| coll(C,X_3824,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,X_3824) )],[refute_0_282,refute_0_270]) ).
cnf(refute_0_284,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_180:[bind(C,$fot(skolemFOFtoCNF_F)),bind(X_3813,$fot(C)),bind(X_3814,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_285,plain,
coll(C,X_3824,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,C) )],[refute_0_284,refute_0_283]) ).
cnf(refute_0_286,plain,
coll(X_3872,X_3873,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_285:[bind(C,$fot(X_3872)),bind(X_3824,$fot(X_3873))]]) ).
cnf(refute_0_287,plain,
coll(X_3872,skolemFOFtoCNF_F,X_3873),
inference(resolve,[$cnf( coll(X_3872,X_3873,skolemFOFtoCNF_F) )],[refute_0_286,refute_0_269]) ).
cnf(refute_0_288,plain,
coll(X_3874,skolemFOFtoCNF_F,X_3875),
inference(subst,[],[refute_0_287:[bind(X_3872,$fot(X_3874)),bind(X_3873,$fot(X_3875))]]) ).
cnf(refute_0_289,plain,
( ~ coll(X_3874,skolemFOFtoCNF_F,C)
| coll(C,X_3875,X_3874) ),
inference(resolve,[$cnf( coll(X_3874,skolemFOFtoCNF_F,X_3875) )],[refute_0_288,refute_0_268]) ).
cnf(refute_0_290,plain,
coll(X_3874,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_186:[bind(C,$fot(X_3874)),bind(X_3826,$fot(C)),bind(X_3827,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_291,plain,
coll(C,X_3875,X_3874),
inference(resolve,[$cnf( coll(X_3874,skolemFOFtoCNF_F,C) )],[refute_0_290,refute_0_289]) ).
cnf(refute_0_292,plain,
coll(X_3879,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_291:[bind(C,$fot(X_3879)),bind(X_3874,$fot(C)),bind(X_3875,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_293,plain,
coll(C,X_3880,X_3879),
inference(resolve,[$cnf( coll(X_3879,skolemFOFtoCNF_D,C) )],[refute_0_292,refute_0_267]) ).
cnf(refute_0_294,plain,
coll(X_3883,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_293:[bind(C,$fot(X_3883)),bind(X_3879,$fot(C)),bind(X_3880,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_295,plain,
coll(C,X_3884,X_3883),
inference(resolve,[$cnf( coll(X_3883,skolemFOFtoCNF_B_1,C) )],[refute_0_294,refute_0_254]) ).
cnf(refute_0_296,plain,
coll(X_3889,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_295:[bind(C,$fot(X_3889)),bind(X_3883,$fot(C)),bind(X_3884,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_297,plain,
coll(C,X_3890,X_3889),
inference(resolve,[$cnf( coll(X_3889,skolemFOFtoCNF_A,C) )],[refute_0_296,refute_0_210]) ).
cnf(refute_0_298,plain,
coll(X_3893,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),C),
inference(subst,[],[refute_0_297:[bind(C,$fot(X_3893)),bind(X_3889,$fot(C)),bind(X_3890,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_299,plain,
coll(C,X_3894,X_3893),
inference(resolve,[$cnf( coll(X_3893,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),C) )],[refute_0_298,refute_0_190]) ).
cnf(refute_0_300,plain,
coll(O,A,C),
inference(subst,[],[refute_0_299:[bind(C,$fot(O)),bind(X_3893,$fot(C)),bind(X_3894,$fot(A))]]) ).
cnf(refute_0_301,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_300,refute_0_92]) ).
cnf(refute_0_302,plain,
( ~ circle(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_301:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_303,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_91,refute_0_302]) ).
cnf(refute_0_304,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_303,refute_0_86]) ).
cnf(refute_0_305,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_304,refute_0_84]) ).
cnf(refute_0_306,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_305,refute_0_82]) ).
cnf(refute_0_307,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F))
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)) )],[refute_0_306,refute_0_73]) ).
cnf(refute_0_308,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)),
inference(subst,[],[refute_0_299:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_3893,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F))),bind(X_3894,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_309,plain,
midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)) )],[refute_0_308,refute_0_307]) ).
cnf(refute_0_310,plain,
midp(skolemFOFtoCNF_B_1,X_3907,X_3907),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)) )],[refute_0_309,refute_0_72]) ).
cnf(refute_0_311,plain,
midp(skolemFOFtoCNF_B_1,X_4051,X_4051),
inference(subst,[],[refute_0_310:[bind(X_3907,$fot(X_4051))]]) ).
cnf(refute_0_312,plain,
midp(skolemFOFtoCNF_P_1(X_4051,Q),X_4051,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_4051,X_4051) )],[refute_0_311,refute_0_67]) ).
cnf(refute_0_313,plain,
midp(skolemFOFtoCNF_P_1(X_4093,X_4092),X_4093,X_4092),
inference(subst,[],[refute_0_312:[bind(Q,$fot(X_4092)),bind(X_4051,$fot(X_4093))]]) ).
cnf(refute_0_314,plain,
cong(skolemFOFtoCNF_P_1(X_4093,X_4092),X_4093,skolemFOFtoCNF_P_1(X_4093,X_4092),X_4092),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_4093,X_4092),X_4093,X_4092) )],[refute_0_313,refute_0_24]) ).
cnf(refute_0_315,plain,
cong(skolemFOFtoCNF_P_1(X_5222,X_5221),X_5222,skolemFOFtoCNF_P_1(X_5222,X_5221),X_5221),
inference(subst,[],[refute_0_314:[bind(X_4092,$fot(X_5221)),bind(X_4093,$fot(X_5222))]]) ).
cnf(refute_0_316,plain,
cyclic(X_5222,X_5221,X_5221,X_5221),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_5222,X_5221),X_5222,skolemFOFtoCNF_P_1(X_5222,X_5221),X_5221) )],[refute_0_315,refute_0_22]) ).
cnf(refute_0_317,plain,
cyclic(X_5224,X_5223,X_5223,X_5223),
inference(subst,[],[refute_0_316:[bind(X_5221,$fot(X_5223)),bind(X_5222,$fot(X_5224))]]) ).
cnf(refute_0_318,plain,
cyclic(X_5223,X_5224,X_5223,X_5223),
inference(resolve,[$cnf( cyclic(X_5224,X_5223,X_5223,X_5223) )],[refute_0_317,refute_0_20]) ).
cnf(refute_0_319,plain,
cyclic(X_5225,X_5226,X_5225,X_5225),
inference(subst,[],[refute_0_318:[bind(X_5223,$fot(X_5225)),bind(X_5224,$fot(X_5226))]]) ).
cnf(refute_0_320,plain,
cyclic(X_5225,X_5225,X_5226,X_5225),
inference(resolve,[$cnf( cyclic(X_5225,X_5226,X_5225,X_5225) )],[refute_0_319,refute_0_18]) ).
cnf(refute_0_321,plain,
cyclic(X_5227,X_5227,X_5228,X_5227),
inference(subst,[],[refute_0_320:[bind(X_5225,$fot(X_5227)),bind(X_5226,$fot(X_5228))]]) ).
cnf(refute_0_322,plain,
cyclic(X_5227,X_5227,X_5227,X_5228),
inference(resolve,[$cnf( cyclic(X_5227,X_5227,X_5228,X_5227) )],[refute_0_321,refute_0_16]) ).
cnf(refute_0_323,plain,
cyclic(X_5229,X_5229,X_5229,X_5230),
inference(subst,[],[refute_0_322:[bind(X_5227,$fot(X_5229)),bind(X_5228,$fot(X_5230))]]) ).
cnf(refute_0_324,plain,
cyclic(X_5229,X_5229,X_5230,X_5230),
inference(resolve,[$cnf( cyclic(X_5229,X_5229,X_5229,X_5230) )],[refute_0_323,refute_0_14]) ).
cnf(refute_0_325,plain,
cyclic(X_5231,X_5231,X_5232,X_5232),
inference(subst,[],[refute_0_324:[bind(X_5229,$fot(X_5231)),bind(X_5230,$fot(X_5232))]]) ).
cnf(refute_0_326,plain,
( ~ cong(X_5231,X_5232,X_5231,X_5232)
| perp(X_5232,X_5231,X_5231,X_5232) ),
inference(resolve,[$cnf( cyclic(X_5231,X_5231,X_5232,X_5232) )],[refute_0_325,refute_0_12]) ).
cnf(refute_0_327,plain,
( ~ midp(X_4075,X_4074,X_4074)
| cong(X_4075,X_4074,X_4075,X_4074) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_4075)),bind(B,$fot(X_4074)),bind(C,$fot(X_4074))]]) ).
cnf(refute_0_328,plain,
( ~ midp(X_4073,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_4073,X_3907,X_3907) ),
inference(subst,[],[refute_0_71:[bind(X_3906,$fot(skolemFOFtoCNF_B_1)),bind(X_3908,$fot(X_4073))]]) ).
cnf(refute_0_329,plain,
( ~ coll(X_4072,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(X_4072,skolemFOFtoCNF_B_1,X_4072,skolemFOFtoCNF_B_1)
| midp(X_4072,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_4072)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_330,plain,
( ~ cong(X_4070,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4070)
| cong(X_4070,skolemFOFtoCNF_B_1,X_4070,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_4070)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_4070))]]) ).
cnf(refute_0_331,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_4064,X_4064,skolemFOFtoCNF_B_1)
| cong(X_4064,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4064) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_4064)),bind(C,$fot(X_4064)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_332,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_4054,skolemFOFtoCNF_B_1,X_4054)
| cong(skolemFOFtoCNF_B_1,X_4054,X_4054,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_4054)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_4054))]]) ).
cnf(refute_0_333,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_4051,X_4051)
| cong(skolemFOFtoCNF_B_1,X_4051,skolemFOFtoCNF_B_1,X_4051) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_4051)),bind(C,$fot(X_4051))]]) ).
cnf(refute_0_334,plain,
cong(skolemFOFtoCNF_B_1,X_4051,skolemFOFtoCNF_B_1,X_4051),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_4051,X_4051) )],[refute_0_311,refute_0_333]) ).
cnf(refute_0_335,plain,
cong(skolemFOFtoCNF_B_1,X_4054,skolemFOFtoCNF_B_1,X_4054),
inference(subst,[],[refute_0_334:[bind(X_4051,$fot(X_4054))]]) ).
cnf(refute_0_336,plain,
cong(skolemFOFtoCNF_B_1,X_4054,X_4054,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_4054,skolemFOFtoCNF_B_1,X_4054) )],[refute_0_335,refute_0_332]) ).
cnf(refute_0_337,plain,
cong(skolemFOFtoCNF_B_1,X_4064,X_4064,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_336:[bind(X_4054,$fot(X_4064))]]) ).
cnf(refute_0_338,plain,
cong(X_4064,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4064),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_4064,X_4064,skolemFOFtoCNF_B_1) )],[refute_0_337,refute_0_331]) ).
cnf(refute_0_339,plain,
cong(X_4070,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4070),
inference(subst,[],[refute_0_338:[bind(X_4064,$fot(X_4070))]]) ).
cnf(refute_0_340,plain,
cong(X_4070,skolemFOFtoCNF_B_1,X_4070,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(X_4070,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4070) )],[refute_0_339,refute_0_330]) ).
cnf(refute_0_341,plain,
cong(X_4072,skolemFOFtoCNF_B_1,X_4072,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_340:[bind(X_4070,$fot(X_4072))]]) ).
cnf(refute_0_342,plain,
( ~ coll(X_4072,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_4072,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(X_4072,skolemFOFtoCNF_B_1,X_4072,skolemFOFtoCNF_B_1) )],[refute_0_341,refute_0_329]) ).
cnf(refute_0_343,plain,
coll(X_4072,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_299:[bind(C,$fot(X_4072)),bind(X_3893,$fot(skolemFOFtoCNF_B_1)),bind(X_3894,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_344,plain,
midp(X_4072,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(X_4072,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_343,refute_0_342]) ).
cnf(refute_0_345,plain,
midp(X_4073,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_344:[bind(X_4072,$fot(X_4073))]]) ).
cnf(refute_0_346,plain,
midp(X_4073,X_3907,X_3907),
inference(resolve,[$cnf( midp(X_4073,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_345,refute_0_328]) ).
cnf(refute_0_347,plain,
midp(X_4075,X_4074,X_4074),
inference(subst,[],[refute_0_346:[bind(X_3907,$fot(X_4074)),bind(X_4073,$fot(X_4075))]]) ).
cnf(refute_0_348,plain,
cong(X_4075,X_4074,X_4075,X_4074),
inference(resolve,[$cnf( midp(X_4075,X_4074,X_4074) )],[refute_0_347,refute_0_327]) ).
cnf(refute_0_349,plain,
cong(X_5231,X_5232,X_5231,X_5232),
inference(subst,[],[refute_0_348:[bind(X_4074,$fot(X_5232)),bind(X_4075,$fot(X_5231))]]) ).
cnf(refute_0_350,plain,
perp(X_5232,X_5231,X_5231,X_5232),
inference(resolve,[$cnf( cong(X_5231,X_5232,X_5231,X_5232) )],[refute_0_349,refute_0_326]) ).
cnf(refute_0_351,plain,
perp(X_5234,X_5233,X_5233,X_5234),
inference(subst,[],[refute_0_350:[bind(X_5231,$fot(X_5233)),bind(X_5232,$fot(X_5234))]]) ).
cnf(refute_0_352,plain,
( ~ midp(M,X_5234,X_5234)
| cong(X_5234,M,X_5233,M) ),
inference(resolve,[$cnf( perp(X_5234,X_5233,X_5233,X_5234) )],[refute_0_351,refute_0_10]) ).
cnf(refute_0_353,plain,
midp(M,X_5234,X_5234),
inference(subst,[],[refute_0_346:[bind(X_3907,$fot(X_5234)),bind(X_4073,$fot(M))]]) ).
cnf(refute_0_354,plain,
cong(X_5234,M,X_5233,M),
inference(resolve,[$cnf( midp(M,X_5234,X_5234) )],[refute_0_353,refute_0_352]) ).
cnf(refute_0_355,plain,
cong(X_5253,X_5251,X_5252,X_5251),
inference(subst,[],[refute_0_354:[bind(M,$fot(X_5251)),bind(X_5233,$fot(X_5252)),bind(X_5234,$fot(X_5253))]]) ).
cnf(refute_0_356,plain,
cong(X_5253,X_5251,X_5251,X_5252),
inference(resolve,[$cnf( cong(X_5253,X_5251,X_5252,X_5251) )],[refute_0_355,refute_0_8]) ).
cnf(refute_0_357,plain,
cong(X_5256,X_5254,X_5254,X_5255),
inference(subst,[],[refute_0_356:[bind(X_5251,$fot(X_5254)),bind(X_5252,$fot(X_5255)),bind(X_5253,$fot(X_5256))]]) ).
cnf(refute_0_358,plain,
cong(X_5254,X_5255,X_5256,X_5254),
inference(resolve,[$cnf( cong(X_5256,X_5254,X_5254,X_5255) )],[refute_0_357,refute_0_7]) ).
cnf(refute_0_359,plain,
cong(X_5277,X_5278,X_5279,X_5277),
inference(subst,[],[refute_0_358:[bind(X_5254,$fot(X_5277)),bind(X_5255,$fot(X_5278)),bind(X_5256,$fot(X_5279))]]) ).
cnf(refute_0_360,plain,
cong(X_5277,X_5278,X_5277,X_5279),
inference(resolve,[$cnf( cong(X_5277,X_5278,X_5279,X_5277) )],[refute_0_359,refute_0_5]) ).
cnf(refute_0_361,plain,
cong(X_5315,X_5316,X_5315,X_5317),
inference(subst,[],[refute_0_360:[bind(X_5277,$fot(X_5315)),bind(X_5278,$fot(X_5316)),bind(X_5279,$fot(X_5317))]]) ).
cnf(refute_0_362,plain,
( ~ coll(X_5315,X_5316,X_5317)
| midp(X_5315,X_5316,X_5317) ),
inference(resolve,[$cnf( cong(X_5315,X_5316,X_5315,X_5317) )],[refute_0_361,refute_0_3]) ).
cnf(refute_0_363,plain,
coll(X_5315,X_5316,X_5317),
inference(subst,[],[refute_0_299:[bind(C,$fot(X_5315)),bind(X_3893,$fot(X_5317)),bind(X_3894,$fot(X_5316))]]) ).
cnf(refute_0_364,plain,
midp(X_5315,X_5316,X_5317),
inference(resolve,[$cnf( coll(X_5315,X_5316,X_5317) )],[refute_0_363,refute_0_362]) ).
cnf(refute_0_365,plain,
midp(E,A,B),
inference(subst,[],[refute_0_364:[bind(X_5315,$fot(E)),bind(X_5316,$fot(A)),bind(X_5317,$fot(B))]]) ).
cnf(refute_0_366,plain,
( ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(resolve,[$cnf( midp(E,A,B) )],[refute_0_365,refute_0_1]) ).
cnf(refute_0_367,plain,
midp(F,A,C),
inference(subst,[],[refute_0_364:[bind(X_5315,$fot(F)),bind(X_5316,$fot(A)),bind(X_5317,$fot(C))]]) ).
cnf(refute_0_368,plain,
para(E,F,B,C),
inference(resolve,[$cnf( midp(F,A,C) )],[refute_0_367,refute_0_366]) ).
cnf(refute_0_369,plain,
para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_368:[bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(skolemFOFtoCNF_C_1)),bind(F,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_370,plain,
$false,
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) )],[refute_0_369,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO647+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 13:07:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 59.08/59.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 59.08/59.31
% 59.08/59.31 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 59.17/59.34
%------------------------------------------------------------------------------