%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO608+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:27:39 EDT 2022
% Result : Theorem 62.92s 63.14s
% Output : CNFRefutation 62.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 103
% Number of leaves : 30
% Syntax : Number of formulae : 472 ( 199 unt; 0 def)
% Number of atoms : 900 ( 0 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 769 ( 341 ~; 336 |; 60 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 1033 ( 193 sgn 441 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ) ).
fof(ruleD7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ) ).
fof(ruleD8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C) )
=> circle(O,A,B,C) ) ).
fof(ruleD13,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C)
& cong(O,A,O,D) )
=> cyclic(A,B,C,D) ) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ) ).
fof(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ) ).
fof(ruleD53,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(ruleX10,axiom,
! [A,B,C,H] :
? [P,Q] :
( ( perp(A,H,B,C)
& perp(B,H,A,C) )
=> ( coll(P,C,B)
& perp(A,P,C,B)
& coll(Q,C,A)
& perp(B,Q,C,A) ) ) ).
fof(ruleX11,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ) ).
fof(exemplo6GDDFULL618070,conjecture,
! [P,A,B,O,A1,B1,O1,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ( midp(O,B,A)
& circle(O,A,NWPNT1,NWPNT2)
& coll(A1,P,A)
& circle(O,A,A1,NWPNT3)
& coll(B1,P,B)
& circle(O,A,B1,NWPNT4)
& circle(O1,P,A1,B1) )
=> perp(O,A1,A1,O1) ) ).
fof(subgoal_0,plain,
! [P,A,B,O,A1,B1,O1,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ( midp(O,B,A)
& circle(O,A,NWPNT1,NWPNT2)
& coll(A1,P,A)
& circle(O,A,A1,NWPNT3)
& coll(B1,P,B)
& circle(O,A,B1,NWPNT4)
& circle(O1,P,A1,B1) )
=> perp(O,A1,A1,O1) ),
inference(strip,[],[exemplo6GDDFULL618070]) ).
fof(negate_0_0,plain,
~ ! [P,A,B,O,A1,B1,O1,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ( midp(O,B,A)
& circle(O,A,NWPNT1,NWPNT2)
& coll(A1,P,A)
& circle(O,A,A1,NWPNT3)
& coll(B1,P,B)
& circle(O,A,B1,NWPNT4)
& circle(O1,P,A1,B1) )
=> perp(O,A1,A1,O1) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,A1,B,B1,O,O1,P] :
( ~ perp(O,A1,A1,O1)
& circle(O1,P,A1,B1)
& coll(A1,P,A)
& coll(B1,P,B)
& midp(O,B,A)
& ? [NWPNT3] : circle(O,A,A1,NWPNT3)
& ? [NWPNT4] : circle(O,A,B1,NWPNT4)
& ? [NWPNT1,NWPNT2] : circle(O,A,NWPNT1,NWPNT2) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_O1)
& circle(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A1,skolemFOFtoCNF_B1)
& coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A)
& coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
& ? [NWPNT3] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A1,NWPNT3)
& ? [NWPNT4] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B1,NWPNT4)
& ? [NWPNT1,NWPNT2] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,NWPNT1,NWPNT2) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_O1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,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_4,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,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_6,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,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] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_31,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,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_33,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_32]) ).
fof(normalize_0_34,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_33]) ).
fof(normalize_0_35,plain,
midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_36,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_37,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,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_39,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_38]) ).
fof(normalize_0_40,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_39]) ).
fof(normalize_0_41,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_42,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_41]) ).
fof(normalize_0_43,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_44,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_43]) ).
fof(normalize_0_45,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_46,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_45]) ).
fof(normalize_0_47,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_48,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_47]) ).
fof(normalize_0_49,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_50,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_49]) ).
fof(normalize_0_51,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_52,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_51]) ).
fof(normalize_0_53,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_54,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_53]) ).
fof(normalize_0_55,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_56,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_55]) ).
fof(normalize_0_57,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_58,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_57]) ).
fof(normalize_0_59,plain,
coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_60,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_61,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_60]) ).
fof(normalize_0_62,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_63,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_62]) ).
fof(normalize_0_64,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_63]) ).
fof(normalize_0_65,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(conjunct,[],[normalize_0_64]) ).
fof(normalize_0_66,plain,
circle(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A1,skolemFOFtoCNF_B1),
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)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(conjunct,[],[normalize_0_64]) ).
fof(normalize_0_71,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) ),
inference(conjunct,[],[normalize_0_64]) ).
fof(normalize_0_72,plain,
? [NWPNT4] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B1,NWPNT4),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_73,plain,
circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),
inference(skolemize,[],[normalize_0_72]) ).
fof(normalize_0_74,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
~ perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_O1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ circle(X_37474,X_37471,X_37472,X_37473)
| ~ coll(X_37474,X_37471,X_37473)
| perp(X_37471,X_37472,X_37472,X_37473) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_37471)),bind(B,$fot(X_37472)),bind(C,$fot(X_37473)),bind(O,$fot(X_37474))]]) ).
cnf(refute_0_3,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_6]) ).
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_15069,X_15070,X_15071,X_15069)
| cong(X_15069,X_15070,X_15069,X_15071) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_15069)),bind(B,$fot(X_15070)),bind(C,$fot(X_15071)),bind(D,$fot(X_15069))]]) ).
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_15048,X_15046,X_15046,X_15047)
| cong(X_15046,X_15047,X_15048,X_15046) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_15048)),bind(B,$fot(X_15046)),bind(C,$fot(X_15046)),bind(D,$fot(X_15047))]]) ).
cnf(refute_0_8,plain,
( ~ cong(X_15045,X_15043,X_15044,X_15043)
| cong(X_15045,X_15043,X_15043,X_15044) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_15045)),bind(B,$fot(X_15043)),bind(C,$fot(X_15044)),bind(D,$fot(X_15043))]]) ).
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_15026,X_15026)
| ~ perp(X_15026,X_15025,X_15025,X_15026)
| cong(X_15026,M,X_15025,M) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_15026)),bind(B,$fot(X_15025)),bind(C,$fot(X_15026))]]) ).
cnf(refute_0_11,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_12,plain,
( ~ cong(X_15023,X_15024,X_15023,X_15024)
| ~ cyclic(X_15023,X_15023,X_15024,X_15024)
| perp(X_15024,X_15023,X_15023,X_15024) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_15023)),bind(B,$fot(X_15023)),bind(P,$fot(X_15024)),bind(Q,$fot(X_15024))]]) ).
cnf(refute_0_13,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_14,plain,
( ~ cyclic(X_15021,X_15021,X_15021,X_15022)
| cyclic(X_15021,X_15021,X_15022,X_15022) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_15021)),bind(B,$fot(X_15021)),bind(C,$fot(X_15021)),bind(D,$fot(X_15022)),bind(E,$fot(X_15022))]]) ).
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_15019,X_15019,X_15020,X_15019)
| cyclic(X_15019,X_15019,X_15019,X_15020) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_15019)),bind(B,$fot(X_15019)),bind(C,$fot(X_15020)),bind(D,$fot(X_15019))]]) ).
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_15017,X_15018,X_15017,X_15017)
| cyclic(X_15017,X_15017,X_15018,X_15017) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_15017)),bind(B,$fot(X_15018)),bind(C,$fot(X_15017)),bind(D,$fot(X_15017))]]) ).
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_15016,X_15015,X_15015,X_15015)
| cyclic(X_15015,X_15016,X_15015,X_15015) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_15016)),bind(B,$fot(X_15015)),bind(C,$fot(X_15015)),bind(D,$fot(X_15015))]]) ).
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_15014,X_15013),X_15014,skolemFOFtoCNF_P_1(X_15014,X_15013),X_15013)
| cyclic(X_15014,X_15013,X_15013,X_15013) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_15014)),bind(B,$fot(X_15013)),bind(C,$fot(X_15013)),bind(D,$fot(X_15013)),bind(O,$fot(skolemFOFtoCNF_P_1(X_15014,X_15013)))]]) ).
cnf(refute_0_23,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_24,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_2231,X_2230),X_2231,X_2230)
| cong(skolemFOFtoCNF_P_1(X_2231,X_2230),X_2231,skolemFOFtoCNF_P_1(X_2231,X_2230),X_2230) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P_1(X_2231,X_2230))),bind(B,$fot(X_2231)),bind(C,$fot(X_2230))]]) ).
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(X_355,X_355,X_355)
| ~ midp(N,X_355,X_355)
| midp(skolemFOFtoCNF_P_1(X_355,Q),X_355,Q) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(X_355)),bind(B,$fot(X_355)),bind(C,$fot(X_355)),bind(D,$fot(X_355)),bind(M,$fot(N))]]) ).
cnf(refute_0_27,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_28,plain,
( ~ para(X_352,X_353,X_352,X_353)
| coll(X_352,X_353,X_353) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_352)),bind(B,$fot(X_353)),bind(C,$fot(X_353))]]) ).
cnf(refute_0_29,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_30,plain,
( ~ eqangle(X_350,X_351,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_350,X_351,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_350,X_351,X_350,X_351) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_350)),bind(B,$fot(X_351)),bind(C,$fot(X_350)),bind(D,$fot(X_351)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_31,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_32,plain,
( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_33,plain,
midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_34,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_35,plain,
cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_35,refute_0_32]) ).
cnf(refute_0_37,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_36,refute_0_31]) ).
cnf(refute_0_38,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_39,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_38:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_40,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_37,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$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,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_42,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_44,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_43:[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_45,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_156,X_157,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_156,X_157),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_44]) ).
cnf(refute_0_46,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_348,X_349,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_348,X_349),
inference(subst,[],[refute_0_45:[bind(X_156,$fot(X_348)),bind(X_157,$fot(X_349))]]) ).
cnf(refute_0_47,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_48,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_348,X_349,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_348,X_349)
| eqangle(X_348,X_349,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_348,X_349,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_47:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_348)),bind(D,$fot(X_349)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_348)),bind(V,$fot(X_349))]]) ).
cnf(refute_0_49,plain,
eqangle(X_348,X_349,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_348,X_349,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_348,X_349,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_348,X_349) )],[refute_0_46,refute_0_48]) ).
cnf(refute_0_50,plain,
eqangle(X_350,X_351,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_350,X_351,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_49:[bind(X_348,$fot(X_350)),bind(X_349,$fot(X_351))]]) ).
cnf(refute_0_51,plain,
para(X_350,X_351,X_350,X_351),
inference(resolve,[$cnf( eqangle(X_350,X_351,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_350,X_351,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_50,refute_0_30]) ).
cnf(refute_0_52,plain,
para(X_352,X_353,X_352,X_353),
inference(subst,[],[refute_0_51:[bind(X_350,$fot(X_352)),bind(X_351,$fot(X_353))]]) ).
cnf(refute_0_53,plain,
coll(X_352,X_353,X_353),
inference(resolve,[$cnf( para(X_352,X_353,X_352,X_353) )],[refute_0_52,refute_0_28]) ).
cnf(refute_0_54,plain,
coll(X_355,X_355,X_355),
inference(subst,[],[refute_0_53:[bind(X_352,$fot(X_355)),bind(X_353,$fot(X_355))]]) ).
cnf(refute_0_55,plain,
( ~ midp(N,X_355,X_355)
| midp(skolemFOFtoCNF_P_1(X_355,Q),X_355,Q) ),
inference(resolve,[$cnf( coll(X_355,X_355,X_355) )],[refute_0_54,refute_0_26]) ).
cnf(refute_0_56,plain,
( ~ midp(X_2190,X_2189,X_2189)
| midp(skolemFOFtoCNF_P_1(X_2189,Q),X_2189,Q) ),
inference(subst,[],[refute_0_55:[bind(N,$fot(X_2190)),bind(X_355,$fot(X_2189))]]) ).
cnf(refute_0_57,plain,
para(X_1589,X_1590,X_1589,X_1590),
inference(subst,[],[refute_0_51:[bind(X_350,$fot(X_1589)),bind(X_351,$fot(X_1590))]]) ).
cnf(refute_0_58,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_59,plain,
( ~ midp(X_1591,X_1589,X_1589)
| ~ para(X_1589,X_1590,X_1589,X_1590)
| midp(X_1591,X_1590,X_1590) ),
inference(subst,[],[refute_0_58:[bind(A,$fot(X_1589)),bind(B,$fot(X_1589)),bind(C,$fot(X_1590)),bind(D,$fot(X_1590)),bind(M,$fot(X_1591))]]) ).
cnf(refute_0_60,plain,
( ~ midp(X_1591,X_1589,X_1589)
| midp(X_1591,X_1590,X_1590) ),
inference(resolve,[$cnf( para(X_1589,X_1590,X_1589,X_1590) )],[refute_0_57,refute_0_59]) ).
cnf(refute_0_61,plain,
( ~ midp(X_2188,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_2188,X_1590,X_1590) ),
inference(subst,[],[refute_0_60:[bind(X_1589,$fot(skolemFOFtoCNF_B_1)),bind(X_1591,$fot(X_2188))]]) ).
cnf(refute_0_62,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_63,plain,
( ~ coll(X_2187,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(X_2187,skolemFOFtoCNF_B_1,X_2187,skolemFOFtoCNF_B_1)
| midp(X_2187,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_62:[bind(A,$fot(X_2187)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_64,plain,
( ~ cong(X_2184,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2184)
| cong(X_2184,skolemFOFtoCNF_B_1,X_2184,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_2184)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_2184))]]) ).
cnf(refute_0_65,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_2174,X_2174,skolemFOFtoCNF_B_1)
| cong(X_2174,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2174) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2174)),bind(C,$fot(X_2174)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_66,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_2171,skolemFOFtoCNF_B_1,X_2171)
| cong(skolemFOFtoCNF_B_1,X_2171,X_2171,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2171)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_2171))]]) ).
cnf(refute_0_67,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_2164,X_2164)
| cong(skolemFOFtoCNF_B_1,X_2164,skolemFOFtoCNF_B_1,X_2164) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2164)),bind(C,$fot(X_2164))]]) ).
cnf(refute_0_68,plain,
( ~ midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)
| midp(skolemFOFtoCNF_B_1,X_1590,X_1590) ),
inference(subst,[],[refute_0_60:[bind(X_1589,$fot(skolemFOFtoCNF_O_2)),bind(X_1591,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_69,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_62:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_70,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_71,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_72,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_73,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_74,plain,
( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_75,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_76,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_75:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_77,plain,
midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_33,refute_0_76]) ).
cnf(refute_0_78,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_79,plain,
cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_79,refute_0_74]) ).
cnf(refute_0_81,plain,
( ~ circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_82,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_84,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_85,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_77,refute_0_84]) ).
cnf(refute_0_86,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_85,refute_0_82]) ).
cnf(refute_0_87,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_86,refute_0_73]) ).
cnf(refute_0_88,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_87,refute_0_71]) ).
cnf(refute_0_89,plain,
( ~ midp(X_2155,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,X_2155,skolemFOFtoCNF_B_1,X_2155) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(M,$fot(X_2155))]]) ).
cnf(refute_0_90,plain,
( ~ midp(X_2155,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,X_2155,skolemFOFtoCNF_B_1,X_2155) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_90:[bind(X_2155,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_92,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_33,refute_0_91]) ).
cnf(refute_0_93,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) )],[refute_0_92,refute_0_69]) ).
cnf(refute_0_94,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_95,plain,
( ~ coll(X_1530,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1530,skolemFOFtoCNF_B_1,X_1531)
| coll(C,X_1531,X_1530) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(X_1530)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1531))]]) ).
cnf(refute_0_96,plain,
( ~ coll(X_1431,skolemFOFtoCNF_B1,C)
| ~ coll(X_1431,skolemFOFtoCNF_B1,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_1431) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(X_1431)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_97,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_1429,C)
| ~ coll(skolemFOFtoCNF_B_1,X_1429,skolemFOFtoCNF_B1)
| coll(C,skolemFOFtoCNF_B1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1429)),bind(D,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_98,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_99,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B1) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_100,plain,
coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_101,plain,
( ~ coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_B1)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_102,plain,
coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_104,plain,
( ~ coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_103:[bind(A,$fot(skolemFOFtoCNF_B1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_105,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8) )],[refute_0_102,refute_0_104]) ).
cnf(refute_0_106,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_P_8) )],[refute_0_105,refute_0_99]) ).
cnf(refute_0_107,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B1)
| coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_B1)),bind(D,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_108,plain,
coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B1) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
( ~ coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,X_1399)
| ~ coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_1399,skolemFOFtoCNF_B1) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_B1)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1399))]]) ).
cnf(refute_0_110,plain,
( ~ coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,X_1399)
| coll(skolemFOFtoCNF_B_1,X_1399,skolemFOFtoCNF_B1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_B_1) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
( ~ coll(X_357,X_356,X_357)
| coll(X_357,X_357,X_356) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(X_357)),bind(B,$fot(X_356)),bind(C,$fot(X_357))]]) ).
cnf(refute_0_112,plain,
( ~ coll(X_354,X_355,X_355)
| coll(X_355,X_354,X_355) ),
inference(subst,[],[refute_0_103:[bind(A,$fot(X_354)),bind(B,$fot(X_355)),bind(C,$fot(X_355))]]) ).
cnf(refute_0_113,plain,
coll(X_354,X_355,X_355),
inference(subst,[],[refute_0_53:[bind(X_352,$fot(X_354)),bind(X_353,$fot(X_355))]]) ).
cnf(refute_0_114,plain,
coll(X_355,X_354,X_355),
inference(resolve,[$cnf( coll(X_354,X_355,X_355) )],[refute_0_113,refute_0_112]) ).
cnf(refute_0_115,plain,
coll(X_357,X_356,X_357),
inference(subst,[],[refute_0_114:[bind(X_354,$fot(X_356)),bind(X_355,$fot(X_357))]]) ).
cnf(refute_0_116,plain,
coll(X_357,X_357,X_356),
inference(resolve,[$cnf( coll(X_357,X_356,X_357) )],[refute_0_115,refute_0_111]) ).
cnf(refute_0_117,plain,
coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,X_1399),
inference(subst,[],[refute_0_116:[bind(X_356,$fot(X_1399)),bind(X_357,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_118,plain,
coll(skolemFOFtoCNF_B_1,X_1399,skolemFOFtoCNF_B1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,X_1399) )],[refute_0_117,refute_0_110]) ).
cnf(refute_0_119,plain,
coll(skolemFOFtoCNF_B_1,X_1429,skolemFOFtoCNF_B1),
inference(subst,[],[refute_0_118:[bind(X_1399,$fot(X_1429))]]) ).
cnf(refute_0_120,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_1429,C)
| coll(C,skolemFOFtoCNF_B1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1429,skolemFOFtoCNF_B1) )],[refute_0_119,refute_0_97]) ).
cnf(refute_0_121,plain,
coll(X_1397,X_1397,X_1398),
inference(subst,[],[refute_0_116:[bind(X_356,$fot(X_1398)),bind(X_357,$fot(X_1397))]]) ).
cnf(refute_0_122,plain,
( ~ coll(X_1397,X_1397,X_1398)
| ~ coll(X_1397,X_1397,X_1399)
| coll(X_1398,X_1399,X_1397) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(X_1397)),bind(B,$fot(X_1397)),bind(C,$fot(X_1398)),bind(D,$fot(X_1399))]]) ).
cnf(refute_0_123,plain,
( ~ coll(X_1397,X_1397,X_1399)
| coll(X_1398,X_1399,X_1397) ),
inference(resolve,[$cnf( coll(X_1397,X_1397,X_1398) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
coll(X_1397,X_1397,X_1399),
inference(subst,[],[refute_0_116:[bind(X_356,$fot(X_1399)),bind(X_357,$fot(X_1397))]]) ).
cnf(refute_0_125,plain,
coll(X_1398,X_1399,X_1397),
inference(resolve,[$cnf( coll(X_1397,X_1397,X_1399) )],[refute_0_124,refute_0_123]) ).
cnf(refute_0_126,plain,
coll(skolemFOFtoCNF_B_1,X_1429,C),
inference(subst,[],[refute_0_125:[bind(X_1397,$fot(C)),bind(X_1398,$fot(skolemFOFtoCNF_B_1)),bind(X_1399,$fot(X_1429))]]) ).
cnf(refute_0_127,plain,
coll(C,skolemFOFtoCNF_B1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1429,C) )],[refute_0_126,refute_0_120]) ).
cnf(refute_0_128,plain,
coll(X_1431,skolemFOFtoCNF_B1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_127:[bind(C,$fot(X_1431))]]) ).
cnf(refute_0_129,plain,
( ~ coll(X_1431,skolemFOFtoCNF_B1,C)
| coll(C,skolemFOFtoCNF_B_1,X_1431) ),
inference(resolve,[$cnf( coll(X_1431,skolemFOFtoCNF_B1,skolemFOFtoCNF_B_1) )],[refute_0_128,refute_0_96]) ).
cnf(refute_0_130,plain,
coll(X_1431,skolemFOFtoCNF_B1,C),
inference(subst,[],[refute_0_125:[bind(X_1397,$fot(C)),bind(X_1398,$fot(X_1431)),bind(X_1399,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_131,plain,
coll(C,skolemFOFtoCNF_B_1,X_1431),
inference(resolve,[$cnf( coll(X_1431,skolemFOFtoCNF_B1,C) )],[refute_0_130,refute_0_129]) ).
cnf(refute_0_132,plain,
coll(X_1530,skolemFOFtoCNF_B_1,X_1531),
inference(subst,[],[refute_0_131:[bind(C,$fot(X_1530)),bind(X_1431,$fot(X_1531))]]) ).
cnf(refute_0_133,plain,
( ~ coll(X_1530,skolemFOFtoCNF_B_1,C)
| coll(C,X_1531,X_1530) ),
inference(resolve,[$cnf( coll(X_1530,skolemFOFtoCNF_B_1,X_1531) )],[refute_0_132,refute_0_95]) ).
cnf(refute_0_134,plain,
( ~ coll(X_1528,skolemFOFtoCNF_O1,C)
| ~ coll(X_1528,skolemFOFtoCNF_O1,X_1529)
| coll(C,X_1529,X_1528) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(X_1528)),bind(B,$fot(skolemFOFtoCNF_O1)),bind(D,$fot(X_1529))]]) ).
cnf(refute_0_135,plain,
( ~ coll(X_1505,X_1506,skolemFOFtoCNF_O1)
| coll(X_1505,skolemFOFtoCNF_O1,X_1506) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(X_1505)),bind(B,$fot(X_1506)),bind(C,$fot(skolemFOFtoCNF_O1))]]) ).
cnf(refute_0_136,plain,
( ~ coll(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,C)
| ~ coll(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,X_1444)
| coll(C,X_1444,skolemFOFtoCNF_O1) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_O1)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(X_1444))]]) ).
cnf(refute_0_137,plain,
( ~ coll(skolemFOFtoCNF_O1,X_1418,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,X_1418) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_O1)),bind(B,$fot(X_1418)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_138,plain,
( ~ coll(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_O1)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1))),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_139,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_103:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1))),bind(B,$fot(skolemFOFtoCNF_O1)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_140,plain,
( ~ perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8)
| perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1))),bind(C,$fot(skolemFOFtoCNF_O1)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_141,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_142,plain,
( ~ perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1)
| perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_141:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_O1)),bind(H,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1)))]]) ).
cnf(refute_0_143,plain,
( ~ perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8)
| perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1))),bind(C,$fot(skolemFOFtoCNF_O1)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_144,plain,
( ~ perp(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1))
| perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_O1)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1)))]]) ).
cnf(refute_0_145,plain,
( ~ perp(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8)
| perp(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1)) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_O1)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1))),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_146,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8)
| perp(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1))),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_O1)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_147,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1))),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(skolemFOFtoCNF_O1))]]) ).
cnf(refute_0_148,plain,
circle(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A1,skolemFOFtoCNF_B1),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_149,plain,
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_150,plain,
( ~ circle(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A1,skolemFOFtoCNF_B1)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1) ),
inference(subst,[],[refute_0_149:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(C,$fot(skolemFOFtoCNF_B1)),bind(O,$fot(skolemFOFtoCNF_O1))]]) ).
cnf(refute_0_151,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A1,skolemFOFtoCNF_B1) )],[refute_0_148,refute_0_150]) ).
cnf(refute_0_152,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1) )],[refute_0_151,refute_0_147]) ).
cnf(refute_0_153,plain,
perp(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8) )],[refute_0_152,refute_0_146]) ).
cnf(refute_0_154,plain,
perp(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8) )],[refute_0_153,refute_0_145]) ).
cnf(refute_0_155,plain,
perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1)) )],[refute_0_154,refute_0_144]) ).
cnf(refute_0_156,plain,
perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8) )],[refute_0_155,refute_0_143]) ).
cnf(refute_0_157,plain,
perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1) )],[refute_0_156,refute_0_142]) ).
cnf(refute_0_158,plain,
perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8) )],[refute_0_157,refute_0_140]) ).
cnf(refute_0_159,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_160,plain,
( ~ perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_159:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_O1)),bind(H,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1)))]]) ).
cnf(refute_0_161,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1) )],[refute_0_158,refute_0_160]) ).
cnf(refute_0_162,plain,
coll(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8) )],[refute_0_161,refute_0_139]) ).
cnf(refute_0_163,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1),skolemFOFtoCNF_P_8) )],[refute_0_162,refute_0_138]) ).
cnf(refute_0_164,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_1399)
| ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1)
| coll(skolemFOFtoCNF_O1,X_1399,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_O1)),bind(D,$fot(X_1399))]]) ).
cnf(refute_0_165,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_1399)
| coll(skolemFOFtoCNF_O1,X_1399,skolemFOFtoCNF_P_8) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_O1) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_1399),
inference(subst,[],[refute_0_116:[bind(X_356,$fot(X_1399)),bind(X_357,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_167,plain,
coll(skolemFOFtoCNF_O1,X_1399,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_1399) )],[refute_0_166,refute_0_165]) ).
cnf(refute_0_168,plain,
coll(skolemFOFtoCNF_O1,X_1418,skolemFOFtoCNF_P_8),
inference(subst,[],[refute_0_167:[bind(X_1399,$fot(X_1418))]]) ).
cnf(refute_0_169,plain,
coll(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,X_1418),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O1,X_1418,skolemFOFtoCNF_P_8) )],[refute_0_168,refute_0_137]) ).
cnf(refute_0_170,plain,
coll(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,X_1444),
inference(subst,[],[refute_0_169:[bind(X_1418,$fot(X_1444))]]) ).
cnf(refute_0_171,plain,
( ~ coll(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,C)
| coll(C,X_1444,skolemFOFtoCNF_O1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,X_1444) )],[refute_0_170,refute_0_136]) ).
cnf(refute_0_172,plain,
coll(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,C),
inference(subst,[],[refute_0_125:[bind(X_1397,$fot(C)),bind(X_1398,$fot(skolemFOFtoCNF_O1)),bind(X_1399,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_173,plain,
coll(C,X_1444,skolemFOFtoCNF_O1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O1,skolemFOFtoCNF_P_8,C) )],[refute_0_172,refute_0_171]) ).
cnf(refute_0_174,plain,
coll(X_1505,X_1506,skolemFOFtoCNF_O1),
inference(subst,[],[refute_0_173:[bind(C,$fot(X_1505)),bind(X_1444,$fot(X_1506))]]) ).
cnf(refute_0_175,plain,
coll(X_1505,skolemFOFtoCNF_O1,X_1506),
inference(resolve,[$cnf( coll(X_1505,X_1506,skolemFOFtoCNF_O1) )],[refute_0_174,refute_0_135]) ).
cnf(refute_0_176,plain,
coll(X_1528,skolemFOFtoCNF_O1,X_1529),
inference(subst,[],[refute_0_175:[bind(X_1505,$fot(X_1528)),bind(X_1506,$fot(X_1529))]]) ).
cnf(refute_0_177,plain,
( ~ coll(X_1528,skolemFOFtoCNF_O1,C)
| coll(C,X_1529,X_1528) ),
inference(resolve,[$cnf( coll(X_1528,skolemFOFtoCNF_O1,X_1529) )],[refute_0_176,refute_0_134]) ).
cnf(refute_0_178,plain,
( ~ coll(X_1524,skolemFOFtoCNF_B1,C)
| ~ coll(X_1524,skolemFOFtoCNF_B1,X_1525)
| coll(C,X_1525,X_1524) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(X_1524)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(D,$fot(X_1525))]]) ).
cnf(refute_0_179,plain,
( ~ coll(X_1453,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1453,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B1)
| coll(C,skolemFOFtoCNF_B1,X_1453) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(X_1453)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_180,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_1429,skolemFOFtoCNF_B1)
| coll(X_1429,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B1) ),
inference(subst,[],[refute_0_103:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1429)),bind(C,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_181,plain,
coll(X_1429,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1429,skolemFOFtoCNF_B1) )],[refute_0_119,refute_0_180]) ).
cnf(refute_0_182,plain,
coll(X_1453,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B1),
inference(subst,[],[refute_0_181:[bind(X_1429,$fot(X_1453))]]) ).
cnf(refute_0_183,plain,
( ~ coll(X_1453,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_B1,X_1453) ),
inference(resolve,[$cnf( coll(X_1453,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B1) )],[refute_0_182,refute_0_179]) ).
cnf(refute_0_184,plain,
coll(X_1453,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_125:[bind(X_1397,$fot(C)),bind(X_1398,$fot(X_1453)),bind(X_1399,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_185,plain,
coll(C,skolemFOFtoCNF_B1,X_1453),
inference(resolve,[$cnf( coll(X_1453,skolemFOFtoCNF_B_1,C) )],[refute_0_184,refute_0_183]) ).
cnf(refute_0_186,plain,
coll(X_1524,skolemFOFtoCNF_B1,X_1525),
inference(subst,[],[refute_0_185:[bind(C,$fot(X_1524)),bind(X_1453,$fot(X_1525))]]) ).
cnf(refute_0_187,plain,
( ~ coll(X_1524,skolemFOFtoCNF_B1,C)
| coll(C,X_1525,X_1524) ),
inference(resolve,[$cnf( coll(X_1524,skolemFOFtoCNF_B1,X_1525) )],[refute_0_186,refute_0_178]) ).
cnf(refute_0_188,plain,
( ~ coll(X_1522,skolemFOFtoCNF_P_8,C)
| ~ coll(X_1522,skolemFOFtoCNF_P_8,X_1523)
| coll(C,X_1523,X_1522) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(X_1522)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(X_1523))]]) ).
cnf(refute_0_189,plain,
( ~ coll(X_1450,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1450,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8)
| coll(C,skolemFOFtoCNF_P_8,X_1450) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(X_1450)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_190,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_1403,skolemFOFtoCNF_P_8)
| coll(X_1403,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_103:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1403)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_191,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_192,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B1,skolemFOFtoCNF_P_8) )],[refute_0_105,refute_0_191]) ).
cnf(refute_0_193,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_1399)
| ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_1399,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1399))]]) ).
cnf(refute_0_194,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_1399)
| coll(skolemFOFtoCNF_B_1,X_1399,skolemFOFtoCNF_P_8) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
coll(skolemFOFtoCNF_B_1,X_1399,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_1399) )],[refute_0_166,refute_0_194]) ).
cnf(refute_0_196,plain,
coll(skolemFOFtoCNF_B_1,X_1403,skolemFOFtoCNF_P_8),
inference(subst,[],[refute_0_195:[bind(X_1399,$fot(X_1403))]]) ).
cnf(refute_0_197,plain,
coll(X_1403,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1403,skolemFOFtoCNF_P_8) )],[refute_0_196,refute_0_190]) ).
cnf(refute_0_198,plain,
coll(X_1450,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8),
inference(subst,[],[refute_0_197:[bind(X_1403,$fot(X_1450))]]) ).
cnf(refute_0_199,plain,
( ~ coll(X_1450,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_P_8,X_1450) ),
inference(resolve,[$cnf( coll(X_1450,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8) )],[refute_0_198,refute_0_189]) ).
cnf(refute_0_200,plain,
coll(X_1450,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_125:[bind(X_1397,$fot(C)),bind(X_1398,$fot(X_1450)),bind(X_1399,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_201,plain,
coll(C,skolemFOFtoCNF_P_8,X_1450),
inference(resolve,[$cnf( coll(X_1450,skolemFOFtoCNF_B_1,C) )],[refute_0_200,refute_0_199]) ).
cnf(refute_0_202,plain,
coll(X_1522,skolemFOFtoCNF_P_8,X_1523),
inference(subst,[],[refute_0_201:[bind(C,$fot(X_1522)),bind(X_1450,$fot(X_1523))]]) ).
cnf(refute_0_203,plain,
( ~ coll(X_1522,skolemFOFtoCNF_P_8,C)
| coll(C,X_1523,X_1522) ),
inference(resolve,[$cnf( coll(X_1522,skolemFOFtoCNF_P_8,X_1523) )],[refute_0_202,refute_0_188]) ).
cnf(refute_0_204,plain,
( ~ coll(X_1499,skolemFOFtoCNF_O_2,C)
| ~ coll(X_1499,skolemFOFtoCNF_O_2,X_1500)
| coll(C,X_1500,X_1499) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(X_1499)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(X_1500))]]) ).
cnf(refute_0_205,plain,
( ~ coll(X_1415,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1415,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)
| coll(C,skolemFOFtoCNF_O_2,X_1415) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(X_1415)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_206,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_1414,skolemFOFtoCNF_O_2)
| coll(X_1414,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_103:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1414)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_207,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_208,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_209,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_33,refute_0_208]) ).
cnf(refute_0_210,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_103:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_211,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_211,refute_0_207]) ).
cnf(refute_0_213,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_214,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1399)
| ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_1399,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1399))]]) ).
cnf(refute_0_216,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1399)
| coll(skolemFOFtoCNF_B_1,X_1399,skolemFOFtoCNF_O_2) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1399),
inference(subst,[],[refute_0_116:[bind(X_356,$fot(X_1399)),bind(X_357,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_218,plain,
coll(skolemFOFtoCNF_B_1,X_1399,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1399) )],[refute_0_217,refute_0_216]) ).
cnf(refute_0_219,plain,
coll(skolemFOFtoCNF_B_1,X_1414,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_218:[bind(X_1399,$fot(X_1414))]]) ).
cnf(refute_0_220,plain,
coll(X_1414,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1414,skolemFOFtoCNF_O_2) )],[refute_0_219,refute_0_206]) ).
cnf(refute_0_221,plain,
coll(X_1415,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_220:[bind(X_1414,$fot(X_1415))]]) ).
cnf(refute_0_222,plain,
( ~ coll(X_1415,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_O_2,X_1415) ),
inference(resolve,[$cnf( coll(X_1415,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) )],[refute_0_221,refute_0_205]) ).
cnf(refute_0_223,plain,
coll(X_1415,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_125:[bind(X_1397,$fot(C)),bind(X_1398,$fot(X_1415)),bind(X_1399,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_224,plain,
coll(C,skolemFOFtoCNF_O_2,X_1415),
inference(resolve,[$cnf( coll(X_1415,skolemFOFtoCNF_B_1,C) )],[refute_0_223,refute_0_222]) ).
cnf(refute_0_225,plain,
coll(X_1499,skolemFOFtoCNF_O_2,X_1500),
inference(subst,[],[refute_0_224:[bind(C,$fot(X_1499)),bind(X_1415,$fot(X_1500))]]) ).
cnf(refute_0_226,plain,
( ~ coll(X_1499,skolemFOFtoCNF_O_2,C)
| coll(C,X_1500,X_1499) ),
inference(resolve,[$cnf( coll(X_1499,skolemFOFtoCNF_O_2,X_1500) )],[refute_0_225,refute_0_204]) ).
cnf(refute_0_227,plain,
( ~ coll(X_1483,skolemFOFtoCNF_NWPNT4,C)
| ~ coll(X_1483,skolemFOFtoCNF_NWPNT4,X_1484)
| coll(C,X_1484,X_1483) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(X_1483)),bind(B,$fot(skolemFOFtoCNF_NWPNT4)),bind(D,$fot(X_1484))]]) ).
cnf(refute_0_228,plain,
( ~ coll(X_1482,skolemFOFtoCNF_B1,C)
| ~ coll(X_1482,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4)
| coll(C,skolemFOFtoCNF_NWPNT4,X_1482) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(X_1482)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(D,$fot(skolemFOFtoCNF_NWPNT4))]]) ).
cnf(refute_0_229,plain,
( ~ coll(skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),C)
| ~ coll(skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),skolemFOFtoCNF_B1)
| coll(C,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_NWPNT4)),bind(B,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4))),bind(D,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_230,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1)
| coll(skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),skolemFOFtoCNF_B1) ),
inference(subst,[],[refute_0_103:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4))),bind(B,$fot(skolemFOFtoCNF_NWPNT4)),bind(C,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_231,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) ),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_232,plain,
( ~ perp(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4)
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1) ),
inference(subst,[],[refute_0_231:[bind(A,$fot(skolemFOFtoCNF_B1)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(C,$fot(skolemFOFtoCNF_NWPNT4)),bind(H,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_233,plain,
( ~ perp(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1)
| perp(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_B1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_NWPNT4)),bind(D,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_234,plain,
( ~ perp(skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_NWPNT4)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(C,$fot(skolemFOFtoCNF_B1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_235,plain,
( ~ perp(skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_B1)
| perp(skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_NWPNT4)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_236,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1)
| perp(skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_B1) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(C,$fot(skolemFOFtoCNF_NWPNT4)),bind(D,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_237,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(C,$fot(skolemFOFtoCNF_B1)),bind(D,$fot(skolemFOFtoCNF_NWPNT4))]]) ).
cnf(refute_0_238,plain,
circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_239,plain,
( ~ circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4)
| ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_NWPNT4)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B1)),bind(C,$fot(skolemFOFtoCNF_NWPNT4)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_240,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_NWPNT4)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4) ),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
( ~ coll(skolemFOFtoCNF_O_2,X_1428,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,X_1428) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(X_1428)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_242,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_243,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_209,refute_0_242]) ).
cnf(refute_0_244,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1399)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_O_2,X_1399,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(X_1399))]]) ).
cnf(refute_0_245,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1399)
| coll(skolemFOFtoCNF_O_2,X_1399,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1399),
inference(subst,[],[refute_0_116:[bind(X_356,$fot(X_1399)),bind(X_357,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_247,plain,
coll(skolemFOFtoCNF_O_2,X_1399,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1399) )],[refute_0_246,refute_0_245]) ).
cnf(refute_0_248,plain,
coll(skolemFOFtoCNF_O_2,X_1428,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_247:[bind(X_1399,$fot(X_1428))]]) ).
cnf(refute_0_249,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,X_1428),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,X_1428,skolemFOFtoCNF_A) )],[refute_0_248,refute_0_241]) ).
cnf(refute_0_250,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_NWPNT4),
inference(subst,[],[refute_0_249:[bind(X_1428,$fot(skolemFOFtoCNF_NWPNT4))]]) ).
cnf(refute_0_251,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_NWPNT4) )],[refute_0_250,refute_0_240]) ).
cnf(refute_0_252,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4) )],[refute_0_251,refute_0_237]) ).
cnf(refute_0_253,plain,
perp(skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_B1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1) )],[refute_0_252,refute_0_236]) ).
cnf(refute_0_254,plain,
perp(skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_B1) )],[refute_0_253,refute_0_235]) ).
cnf(refute_0_255,plain,
perp(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_A) )],[refute_0_254,refute_0_234]) ).
cnf(refute_0_256,plain,
perp(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1) )],[refute_0_255,refute_0_233]) ).
cnf(refute_0_257,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B1,skolemFOFtoCNF_A,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4) )],[refute_0_256,refute_0_232]) ).
cnf(refute_0_258,plain,
coll(skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),skolemFOFtoCNF_B1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_B1) )],[refute_0_257,refute_0_230]) ).
cnf(refute_0_259,plain,
( ~ coll(skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),C)
| coll(C,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),skolemFOFtoCNF_B1) )],[refute_0_258,refute_0_229]) ).
cnf(refute_0_260,plain,
( ~ coll(X_1458,skolemFOFtoCNF_A,C)
| ~ coll(X_1458,skolemFOFtoCNF_A,X_1459)
| coll(C,X_1459,X_1458) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(X_1458)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1459))]]) ).
cnf(refute_0_261,plain,
( ~ coll(X_1422,skolemFOFtoCNF_A1,C)
| ~ coll(X_1422,skolemFOFtoCNF_A1,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,X_1422) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(X_1422)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_262,plain,
( ~ coll(skolemFOFtoCNF_A,X_1406,C)
| ~ coll(skolemFOFtoCNF_A,X_1406,skolemFOFtoCNF_A1)
| coll(C,skolemFOFtoCNF_A1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1406)),bind(D,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_263,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A1) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_264,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_74]) ).
cnf(refute_0_265,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_266,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_103:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_268,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8) )],[refute_0_268,refute_0_263]) ).
cnf(refute_0_270,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A1)
| coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_A1)),bind(D,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_271,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A1) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,X_1399)
| ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_1399,skolemFOFtoCNF_A1) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1399))]]) ).
cnf(refute_0_273,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,X_1399)
| coll(skolemFOFtoCNF_A,X_1399,skolemFOFtoCNF_A1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,X_1399),
inference(subst,[],[refute_0_116:[bind(X_356,$fot(X_1399)),bind(X_357,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_275,plain,
coll(skolemFOFtoCNF_A,X_1399,skolemFOFtoCNF_A1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,X_1399) )],[refute_0_274,refute_0_273]) ).
cnf(refute_0_276,plain,
coll(skolemFOFtoCNF_A,X_1406,skolemFOFtoCNF_A1),
inference(subst,[],[refute_0_275:[bind(X_1399,$fot(X_1406))]]) ).
cnf(refute_0_277,plain,
( ~ coll(skolemFOFtoCNF_A,X_1406,C)
| coll(C,skolemFOFtoCNF_A1,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1406,skolemFOFtoCNF_A1) )],[refute_0_276,refute_0_262]) ).
cnf(refute_0_278,plain,
coll(skolemFOFtoCNF_A,X_1406,C),
inference(subst,[],[refute_0_125:[bind(X_1397,$fot(C)),bind(X_1398,$fot(skolemFOFtoCNF_A)),bind(X_1399,$fot(X_1406))]]) ).
cnf(refute_0_279,plain,
coll(C,skolemFOFtoCNF_A1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1406,C) )],[refute_0_278,refute_0_277]) ).
cnf(refute_0_280,plain,
coll(X_1422,skolemFOFtoCNF_A1,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_279:[bind(C,$fot(X_1422))]]) ).
cnf(refute_0_281,plain,
( ~ coll(X_1422,skolemFOFtoCNF_A1,C)
| coll(C,skolemFOFtoCNF_A,X_1422) ),
inference(resolve,[$cnf( coll(X_1422,skolemFOFtoCNF_A1,skolemFOFtoCNF_A) )],[refute_0_280,refute_0_261]) ).
cnf(refute_0_282,plain,
coll(X_1422,skolemFOFtoCNF_A1,C),
inference(subst,[],[refute_0_125:[bind(X_1397,$fot(C)),bind(X_1398,$fot(X_1422)),bind(X_1399,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_283,plain,
coll(C,skolemFOFtoCNF_A,X_1422),
inference(resolve,[$cnf( coll(X_1422,skolemFOFtoCNF_A1,C) )],[refute_0_282,refute_0_281]) ).
cnf(refute_0_284,plain,
coll(X_1458,skolemFOFtoCNF_A,X_1459),
inference(subst,[],[refute_0_283:[bind(C,$fot(X_1458)),bind(X_1422,$fot(X_1459))]]) ).
cnf(refute_0_285,plain,
( ~ coll(X_1458,skolemFOFtoCNF_A,C)
| coll(C,X_1459,X_1458) ),
inference(resolve,[$cnf( coll(X_1458,skolemFOFtoCNF_A,X_1459) )],[refute_0_284,refute_0_260]) ).
cnf(refute_0_286,plain,
coll(X_1458,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_125:[bind(X_1397,$fot(C)),bind(X_1398,$fot(X_1458)),bind(X_1399,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_287,plain,
coll(C,X_1459,X_1458),
inference(resolve,[$cnf( coll(X_1458,skolemFOFtoCNF_A,C) )],[refute_0_286,refute_0_285]) ).
cnf(refute_0_288,plain,
coll(skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),C),
inference(subst,[],[refute_0_287:[bind(C,$fot(skolemFOFtoCNF_NWPNT4)),bind(X_1458,$fot(C)),bind(X_1459,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4)))]]) ).
cnf(refute_0_289,plain,
coll(C,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_NWPNT4,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B1,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),C) )],[refute_0_288,refute_0_259]) ).
cnf(refute_0_290,plain,
coll(X_1482,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4),
inference(subst,[],[refute_0_289:[bind(C,$fot(X_1482))]]) ).
cnf(refute_0_291,plain,
( ~ coll(X_1482,skolemFOFtoCNF_B1,C)
| coll(C,skolemFOFtoCNF_NWPNT4,X_1482) ),
inference(resolve,[$cnf( coll(X_1482,skolemFOFtoCNF_B1,skolemFOFtoCNF_NWPNT4) )],[refute_0_290,refute_0_228]) ).
cnf(refute_0_292,plain,
coll(X_1482,skolemFOFtoCNF_B1,C),
inference(subst,[],[refute_0_287:[bind(C,$fot(X_1482)),bind(X_1458,$fot(C)),bind(X_1459,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_293,plain,
coll(C,skolemFOFtoCNF_NWPNT4,X_1482),
inference(resolve,[$cnf( coll(X_1482,skolemFOFtoCNF_B1,C) )],[refute_0_292,refute_0_291]) ).
cnf(refute_0_294,plain,
coll(X_1483,skolemFOFtoCNF_NWPNT4,X_1484),
inference(subst,[],[refute_0_293:[bind(C,$fot(X_1483)),bind(X_1482,$fot(X_1484))]]) ).
cnf(refute_0_295,plain,
( ~ coll(X_1483,skolemFOFtoCNF_NWPNT4,C)
| coll(C,X_1484,X_1483) ),
inference(resolve,[$cnf( coll(X_1483,skolemFOFtoCNF_NWPNT4,X_1484) )],[refute_0_294,refute_0_227]) ).
cnf(refute_0_296,plain,
coll(X_1483,skolemFOFtoCNF_NWPNT4,C),
inference(subst,[],[refute_0_287:[bind(C,$fot(X_1483)),bind(X_1458,$fot(C)),bind(X_1459,$fot(skolemFOFtoCNF_NWPNT4))]]) ).
cnf(refute_0_297,plain,
coll(C,X_1484,X_1483),
inference(resolve,[$cnf( coll(X_1483,skolemFOFtoCNF_NWPNT4,C) )],[refute_0_296,refute_0_295]) ).
cnf(refute_0_298,plain,
coll(X_1499,skolemFOFtoCNF_O_2,C),
inference(subst,[],[refute_0_297:[bind(C,$fot(X_1499)),bind(X_1483,$fot(C)),bind(X_1484,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_299,plain,
coll(C,X_1500,X_1499),
inference(resolve,[$cnf( coll(X_1499,skolemFOFtoCNF_O_2,C) )],[refute_0_298,refute_0_226]) ).
cnf(refute_0_300,plain,
coll(X_1522,skolemFOFtoCNF_P_8,C),
inference(subst,[],[refute_0_299:[bind(C,$fot(X_1522)),bind(X_1499,$fot(C)),bind(X_1500,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_301,plain,
coll(C,X_1523,X_1522),
inference(resolve,[$cnf( coll(X_1522,skolemFOFtoCNF_P_8,C) )],[refute_0_300,refute_0_203]) ).
cnf(refute_0_302,plain,
coll(X_1524,skolemFOFtoCNF_B1,C),
inference(subst,[],[refute_0_301:[bind(C,$fot(X_1524)),bind(X_1522,$fot(C)),bind(X_1523,$fot(skolemFOFtoCNF_B1))]]) ).
cnf(refute_0_303,plain,
coll(C,X_1525,X_1524),
inference(resolve,[$cnf( coll(X_1524,skolemFOFtoCNF_B1,C) )],[refute_0_302,refute_0_187]) ).
cnf(refute_0_304,plain,
coll(X_1528,skolemFOFtoCNF_O1,C),
inference(subst,[],[refute_0_303:[bind(C,$fot(X_1528)),bind(X_1524,$fot(C)),bind(X_1525,$fot(skolemFOFtoCNF_O1))]]) ).
cnf(refute_0_305,plain,
coll(C,X_1529,X_1528),
inference(resolve,[$cnf( coll(X_1528,skolemFOFtoCNF_O1,C) )],[refute_0_304,refute_0_177]) ).
cnf(refute_0_306,plain,
coll(X_1530,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_305:[bind(C,$fot(X_1530)),bind(X_1528,$fot(C)),bind(X_1529,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_307,plain,
coll(C,X_1531,X_1530),
inference(resolve,[$cnf( coll(X_1530,skolemFOFtoCNF_B_1,C) )],[refute_0_306,refute_0_133]) ).
cnf(refute_0_308,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_307:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_1530,$fot(skolemFOFtoCNF_O_2)),bind(X_1531,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_309,plain,
midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2) )],[refute_0_308,refute_0_93]) ).
cnf(refute_0_310,plain,
midp(skolemFOFtoCNF_B_1,X_1590,X_1590),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2) )],[refute_0_309,refute_0_68]) ).
cnf(refute_0_311,plain,
midp(skolemFOFtoCNF_B_1,X_2164,X_2164),
inference(subst,[],[refute_0_310:[bind(X_1590,$fot(X_2164))]]) ).
cnf(refute_0_312,plain,
cong(skolemFOFtoCNF_B_1,X_2164,skolemFOFtoCNF_B_1,X_2164),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_2164,X_2164) )],[refute_0_311,refute_0_67]) ).
cnf(refute_0_313,plain,
cong(skolemFOFtoCNF_B_1,X_2171,skolemFOFtoCNF_B_1,X_2171),
inference(subst,[],[refute_0_312:[bind(X_2164,$fot(X_2171))]]) ).
cnf(refute_0_314,plain,
cong(skolemFOFtoCNF_B_1,X_2171,X_2171,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_2171,skolemFOFtoCNF_B_1,X_2171) )],[refute_0_313,refute_0_66]) ).
cnf(refute_0_315,plain,
cong(skolemFOFtoCNF_B_1,X_2174,X_2174,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_314:[bind(X_2171,$fot(X_2174))]]) ).
cnf(refute_0_316,plain,
cong(X_2174,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2174),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_2174,X_2174,skolemFOFtoCNF_B_1) )],[refute_0_315,refute_0_65]) ).
cnf(refute_0_317,plain,
cong(X_2184,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2184),
inference(subst,[],[refute_0_316:[bind(X_2174,$fot(X_2184))]]) ).
cnf(refute_0_318,plain,
cong(X_2184,skolemFOFtoCNF_B_1,X_2184,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(X_2184,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2184) )],[refute_0_317,refute_0_64]) ).
cnf(refute_0_319,plain,
cong(X_2187,skolemFOFtoCNF_B_1,X_2187,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_318:[bind(X_2184,$fot(X_2187))]]) ).
cnf(refute_0_320,plain,
( ~ coll(X_2187,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_2187,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(X_2187,skolemFOFtoCNF_B_1,X_2187,skolemFOFtoCNF_B_1) )],[refute_0_319,refute_0_63]) ).
cnf(refute_0_321,plain,
coll(X_2187,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_307:[bind(C,$fot(X_2187)),bind(X_1530,$fot(skolemFOFtoCNF_B_1)),bind(X_1531,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_322,plain,
midp(X_2187,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(X_2187,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_321,refute_0_320]) ).
cnf(refute_0_323,plain,
midp(X_2188,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_322:[bind(X_2187,$fot(X_2188))]]) ).
cnf(refute_0_324,plain,
midp(X_2188,X_1590,X_1590),
inference(resolve,[$cnf( midp(X_2188,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_323,refute_0_61]) ).
cnf(refute_0_325,plain,
midp(X_2190,X_2189,X_2189),
inference(subst,[],[refute_0_324:[bind(X_1590,$fot(X_2189)),bind(X_2188,$fot(X_2190))]]) ).
cnf(refute_0_326,plain,
midp(skolemFOFtoCNF_P_1(X_2189,Q),X_2189,Q),
inference(resolve,[$cnf( midp(X_2190,X_2189,X_2189) )],[refute_0_325,refute_0_56]) ).
cnf(refute_0_327,plain,
midp(skolemFOFtoCNF_P_1(X_2231,X_2230),X_2231,X_2230),
inference(subst,[],[refute_0_326:[bind(Q,$fot(X_2230)),bind(X_2189,$fot(X_2231))]]) ).
cnf(refute_0_328,plain,
cong(skolemFOFtoCNF_P_1(X_2231,X_2230),X_2231,skolemFOFtoCNF_P_1(X_2231,X_2230),X_2230),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_2231,X_2230),X_2231,X_2230) )],[refute_0_327,refute_0_24]) ).
cnf(refute_0_329,plain,
cong(skolemFOFtoCNF_P_1(X_15014,X_15013),X_15014,skolemFOFtoCNF_P_1(X_15014,X_15013),X_15013),
inference(subst,[],[refute_0_328:[bind(X_2230,$fot(X_15013)),bind(X_2231,$fot(X_15014))]]) ).
cnf(refute_0_330,plain,
cyclic(X_15014,X_15013,X_15013,X_15013),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_15014,X_15013),X_15014,skolemFOFtoCNF_P_1(X_15014,X_15013),X_15013) )],[refute_0_329,refute_0_22]) ).
cnf(refute_0_331,plain,
cyclic(X_15016,X_15015,X_15015,X_15015),
inference(subst,[],[refute_0_330:[bind(X_15013,$fot(X_15015)),bind(X_15014,$fot(X_15016))]]) ).
cnf(refute_0_332,plain,
cyclic(X_15015,X_15016,X_15015,X_15015),
inference(resolve,[$cnf( cyclic(X_15016,X_15015,X_15015,X_15015) )],[refute_0_331,refute_0_20]) ).
cnf(refute_0_333,plain,
cyclic(X_15017,X_15018,X_15017,X_15017),
inference(subst,[],[refute_0_332:[bind(X_15015,$fot(X_15017)),bind(X_15016,$fot(X_15018))]]) ).
cnf(refute_0_334,plain,
cyclic(X_15017,X_15017,X_15018,X_15017),
inference(resolve,[$cnf( cyclic(X_15017,X_15018,X_15017,X_15017) )],[refute_0_333,refute_0_18]) ).
cnf(refute_0_335,plain,
cyclic(X_15019,X_15019,X_15020,X_15019),
inference(subst,[],[refute_0_334:[bind(X_15017,$fot(X_15019)),bind(X_15018,$fot(X_15020))]]) ).
cnf(refute_0_336,plain,
cyclic(X_15019,X_15019,X_15019,X_15020),
inference(resolve,[$cnf( cyclic(X_15019,X_15019,X_15020,X_15019) )],[refute_0_335,refute_0_16]) ).
cnf(refute_0_337,plain,
cyclic(X_15021,X_15021,X_15021,X_15022),
inference(subst,[],[refute_0_336:[bind(X_15019,$fot(X_15021)),bind(X_15020,$fot(X_15022))]]) ).
cnf(refute_0_338,plain,
cyclic(X_15021,X_15021,X_15022,X_15022),
inference(resolve,[$cnf( cyclic(X_15021,X_15021,X_15021,X_15022) )],[refute_0_337,refute_0_14]) ).
cnf(refute_0_339,plain,
cyclic(X_15023,X_15023,X_15024,X_15024),
inference(subst,[],[refute_0_338:[bind(X_15021,$fot(X_15023)),bind(X_15022,$fot(X_15024))]]) ).
cnf(refute_0_340,plain,
( ~ cong(X_15023,X_15024,X_15023,X_15024)
| perp(X_15024,X_15023,X_15023,X_15024) ),
inference(resolve,[$cnf( cyclic(X_15023,X_15023,X_15024,X_15024) )],[refute_0_339,refute_0_12]) ).
cnf(refute_0_341,plain,
( ~ midp(X_2190,X_2189,X_2189)
| cong(X_2190,X_2189,X_2190,X_2189) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_2190)),bind(B,$fot(X_2189)),bind(C,$fot(X_2189))]]) ).
cnf(refute_0_342,plain,
cong(X_2190,X_2189,X_2190,X_2189),
inference(resolve,[$cnf( midp(X_2190,X_2189,X_2189) )],[refute_0_325,refute_0_341]) ).
cnf(refute_0_343,plain,
cong(X_15023,X_15024,X_15023,X_15024),
inference(subst,[],[refute_0_342:[bind(X_2189,$fot(X_15024)),bind(X_2190,$fot(X_15023))]]) ).
cnf(refute_0_344,plain,
perp(X_15024,X_15023,X_15023,X_15024),
inference(resolve,[$cnf( cong(X_15023,X_15024,X_15023,X_15024) )],[refute_0_343,refute_0_340]) ).
cnf(refute_0_345,plain,
perp(X_15026,X_15025,X_15025,X_15026),
inference(subst,[],[refute_0_344:[bind(X_15023,$fot(X_15025)),bind(X_15024,$fot(X_15026))]]) ).
cnf(refute_0_346,plain,
( ~ midp(M,X_15026,X_15026)
| cong(X_15026,M,X_15025,M) ),
inference(resolve,[$cnf( perp(X_15026,X_15025,X_15025,X_15026) )],[refute_0_345,refute_0_10]) ).
cnf(refute_0_347,plain,
midp(M,X_15026,X_15026),
inference(subst,[],[refute_0_324:[bind(X_1590,$fot(X_15026)),bind(X_2188,$fot(M))]]) ).
cnf(refute_0_348,plain,
cong(X_15026,M,X_15025,M),
inference(resolve,[$cnf( midp(M,X_15026,X_15026) )],[refute_0_347,refute_0_346]) ).
cnf(refute_0_349,plain,
cong(X_15045,X_15043,X_15044,X_15043),
inference(subst,[],[refute_0_348:[bind(M,$fot(X_15043)),bind(X_15025,$fot(X_15044)),bind(X_15026,$fot(X_15045))]]) ).
cnf(refute_0_350,plain,
cong(X_15045,X_15043,X_15043,X_15044),
inference(resolve,[$cnf( cong(X_15045,X_15043,X_15044,X_15043) )],[refute_0_349,refute_0_8]) ).
cnf(refute_0_351,plain,
cong(X_15048,X_15046,X_15046,X_15047),
inference(subst,[],[refute_0_350:[bind(X_15043,$fot(X_15046)),bind(X_15044,$fot(X_15047)),bind(X_15045,$fot(X_15048))]]) ).
cnf(refute_0_352,plain,
cong(X_15046,X_15047,X_15048,X_15046),
inference(resolve,[$cnf( cong(X_15048,X_15046,X_15046,X_15047) )],[refute_0_351,refute_0_7]) ).
cnf(refute_0_353,plain,
cong(X_15069,X_15070,X_15071,X_15069),
inference(subst,[],[refute_0_352:[bind(X_15046,$fot(X_15069)),bind(X_15047,$fot(X_15070)),bind(X_15048,$fot(X_15071))]]) ).
cnf(refute_0_354,plain,
cong(X_15069,X_15070,X_15069,X_15071),
inference(resolve,[$cnf( cong(X_15069,X_15070,X_15071,X_15069) )],[refute_0_353,refute_0_5]) ).
cnf(refute_0_355,plain,
cong(O,A,O,B),
inference(subst,[],[refute_0_354:[bind(X_15069,$fot(O)),bind(X_15070,$fot(A)),bind(X_15071,$fot(B))]]) ).
cnf(refute_0_356,plain,
( ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(resolve,[$cnf( cong(O,A,O,B) )],[refute_0_355,refute_0_3]) ).
cnf(refute_0_357,plain,
cong(O,A,O,C),
inference(subst,[],[refute_0_354:[bind(X_15069,$fot(O)),bind(X_15070,$fot(A)),bind(X_15071,$fot(C))]]) ).
cnf(refute_0_358,plain,
circle(O,A,B,C),
inference(resolve,[$cnf( cong(O,A,O,C) )],[refute_0_357,refute_0_356]) ).
cnf(refute_0_359,plain,
circle(X_37474,X_37471,X_37472,X_37473),
inference(subst,[],[refute_0_358:[bind(A,$fot(X_37471)),bind(B,$fot(X_37472)),bind(C,$fot(X_37473)),bind(O,$fot(X_37474))]]) ).
cnf(refute_0_360,plain,
( ~ coll(X_37474,X_37471,X_37473)
| perp(X_37471,X_37472,X_37472,X_37473) ),
inference(resolve,[$cnf( circle(X_37474,X_37471,X_37472,X_37473) )],[refute_0_359,refute_0_2]) ).
cnf(refute_0_361,plain,
coll(X_37474,X_37471,X_37473),
inference(subst,[],[refute_0_307:[bind(C,$fot(X_37474)),bind(X_1530,$fot(X_37473)),bind(X_1531,$fot(X_37471))]]) ).
cnf(refute_0_362,plain,
perp(X_37471,X_37472,X_37472,X_37473),
inference(resolve,[$cnf( coll(X_37474,X_37471,X_37473) )],[refute_0_361,refute_0_360]) ).
cnf(refute_0_363,plain,
perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_O1),
inference(subst,[],[refute_0_362:[bind(X_37471,$fot(skolemFOFtoCNF_O_2)),bind(X_37472,$fot(skolemFOFtoCNF_A1)),bind(X_37473,$fot(skolemFOFtoCNF_O1))]]) ).
cnf(refute_0_364,plain,
$false,
inference(resolve,[$cnf( perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_O1) )],[refute_0_363,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO608+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 : n016.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 05:00:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 62.92/63.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 62.92/63.14
% 62.92/63.14 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 62.99/63.18
%------------------------------------------------------------------------------