TSTP Solution File: GEO619+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO619+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 05:27:42 EDT 2022
% Result : Theorem 73.11s 73.28s
% Output : CNFRefutation 73.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 104
% Number of leaves : 31
% Syntax : Number of formulae : 578 ( 257 unt; 0 def)
% Number of atoms : 1092 ( 0 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 918 ( 404 ~; 399 |; 82 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 1143 ( 226 sgn 460 !; 31 ?)
% 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(ruleX16,axiom,
! [A,B,C,D,M] :
? [P] :
( ( perp(A,B,A,C)
& perp(C,A,C,D)
& midp(M,B,D) )
=> midp(P,A,C) ) ).
fof(exemplo6GDDFULL8110981,conjecture,
! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ( perp(C,A,C,B)
& cong(A,C,B,C)
& coll(D,A,B)
& eqangle(E,C,C,A,A,C,C,D)
& coll(E,A,B)
& midp(F,D,E)
& circle(F,E,NWPNT1,NWPNT2)
& coll(G,C,E)
& circle(F,E,G,NWPNT3)
& coll(H,C,D)
& circle(F,E,H,NWPNT4) )
=> cong(D,G,D,H) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ( perp(C,A,C,B)
& cong(A,C,B,C)
& coll(D,A,B)
& eqangle(E,C,C,A,A,C,C,D)
& coll(E,A,B)
& midp(F,D,E)
& circle(F,E,NWPNT1,NWPNT2)
& coll(G,C,E)
& circle(F,E,G,NWPNT3)
& coll(H,C,D)
& circle(F,E,H,NWPNT4) )
=> cong(D,G,D,H) ),
inference(strip,[],[exemplo6GDDFULL8110981]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ( perp(C,A,C,B)
& cong(A,C,B,C)
& coll(D,A,B)
& eqangle(E,C,C,A,A,C,C,D)
& coll(E,A,B)
& midp(F,D,E)
& circle(F,E,NWPNT1,NWPNT2)
& coll(G,C,E)
& circle(F,E,G,NWPNT3)
& coll(H,C,D)
& circle(F,E,H,NWPNT4) )
=> cong(D,G,D,H) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F,G,H] :
( ~ cong(D,G,D,H)
& coll(D,A,B)
& coll(E,A,B)
& coll(G,C,E)
& coll(H,C,D)
& cong(A,C,B,C)
& eqangle(E,C,C,A,A,C,C,D)
& midp(F,D,E)
& perp(C,A,C,B)
& ? [NWPNT3] : circle(F,E,G,NWPNT3)
& ? [NWPNT4] : circle(F,E,H,NWPNT4)
& ? [NWPNT1,NWPNT2] : circle(F,E,NWPNT1,NWPNT2) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ cong(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_H)
& coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
& coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
& cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& eqangle(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
& midp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_E)
& perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& ? [NWPNT3] : circle(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_G,NWPNT3)
& ? [NWPNT4] : circle(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_H,NWPNT4)
& ? [NWPNT1,NWPNT2] : circle(skolemFOFtoCNF_F,skolemFOFtoCNF_E,NWPNT1,NWPNT2) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ cong(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_H),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_4,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_6,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,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_8,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,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_10,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_9]) ).
fof(normalize_0_11,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_12,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_11]) ).
fof(normalize_0_13,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_14,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_16,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_18,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,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_20,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_19]) ).
fof(normalize_0_21,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_22,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,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_24,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_23]) ).
fof(normalize_0_25,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_24]) ).
fof(normalize_0_26,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_27,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_29,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[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,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
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,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_48,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_47]) ).
fof(normalize_0_49,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_50,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_49]) ).
fof(normalize_0_51,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_52,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_51]) ).
fof(normalize_0_53,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_54,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_53]) ).
fof(normalize_0_55,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_54]) ).
fof(normalize_0_56,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_55]) ).
fof(normalize_0_57,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_58,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_57]) ).
fof(normalize_0_59,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[ruleD12]) ).
fof(normalize_0_60,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_59]) ).
fof(normalize_0_61,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(canonicalize,[],[ruleX11]) ).
fof(normalize_0_62,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(specialize,[],[normalize_0_61]) ).
fof(normalize_0_63,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(clausify,[],[normalize_0_62]) ).
fof(normalize_0_64,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_55]) ).
fof(normalize_0_65,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_66,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_65]) ).
fof(normalize_0_67,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_68,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_69,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_70,plain,
midp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_71,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_72,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_71]) ).
fof(normalize_0_73,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_74,plain,
! [A,B,C,D] :
( ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| ? [P] : midp(P,A,C)
| ! [M] : ~ midp(M,B,D) ),
inference(canonicalize,[],[ruleX16]) ).
fof(normalize_0_75,plain,
! [A,B,C,D] :
( ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| ? [P] : midp(P,A,C)
| ! [M] : ~ midp(M,B,D) ),
inference(specialize,[],[normalize_0_74]) ).
fof(normalize_0_76,plain,
! [A,B,C,D,M] :
( ~ midp(M,B,D)
| ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| midp(skolemFOFtoCNF_P_7(A,C),A,C) ),
inference(clausify,[],[normalize_0_75]) ).
cnf(refute_0_0,plain,
~ cong(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_H),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ cong(X_10139,X_10140,X_10141,X_10139)
| cong(X_10139,X_10140,X_10139,X_10141) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_10139)),bind(B,$fot(X_10140)),bind(C,$fot(X_10141)),bind(D,$fot(X_10139))]]) ).
cnf(refute_0_3,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ cong(X_10116,X_10114,X_10114,X_10115)
| cong(X_10114,X_10115,X_10116,X_10114) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_10116)),bind(B,$fot(X_10114)),bind(C,$fot(X_10114)),bind(D,$fot(X_10115))]]) ).
cnf(refute_0_5,plain,
( ~ cong(X_10113,X_10111,X_10112,X_10111)
| cong(X_10113,X_10111,X_10111,X_10112) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_10113)),bind(B,$fot(X_10111)),bind(C,$fot(X_10112)),bind(D,$fot(X_10111))]]) ).
cnf(refute_0_6,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
( ~ midp(M,X_10094,X_10094)
| ~ perp(X_10094,X_10093,X_10093,X_10094)
| cong(X_10094,M,X_10093,M) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_10094)),bind(B,$fot(X_10093)),bind(C,$fot(X_10094))]]) ).
cnf(refute_0_8,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_9,plain,
( ~ cong(X_10091,X_10092,X_10091,X_10092)
| ~ cyclic(X_10091,X_10091,X_10092,X_10092)
| perp(X_10092,X_10091,X_10091,X_10092) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_10091)),bind(B,$fot(X_10091)),bind(P,$fot(X_10092)),bind(Q,$fot(X_10092))]]) ).
cnf(refute_0_10,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_11,plain,
( ~ cyclic(X_10089,X_10089,X_10089,X_10090)
| cyclic(X_10089,X_10089,X_10090,X_10090) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_10089)),bind(B,$fot(X_10089)),bind(C,$fot(X_10089)),bind(D,$fot(X_10090)),bind(E,$fot(X_10090))]]) ).
cnf(refute_0_12,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_13,plain,
( ~ cyclic(X_10087,X_10087,X_10088,X_10087)
| cyclic(X_10087,X_10087,X_10087,X_10088) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_10087)),bind(B,$fot(X_10087)),bind(C,$fot(X_10088)),bind(D,$fot(X_10087))]]) ).
cnf(refute_0_14,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_15,plain,
( ~ cyclic(X_10085,X_10086,X_10085,X_10085)
| cyclic(X_10085,X_10085,X_10086,X_10085) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_10085)),bind(B,$fot(X_10086)),bind(C,$fot(X_10085)),bind(D,$fot(X_10085))]]) ).
cnf(refute_0_16,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_17,plain,
( ~ cyclic(X_10084,X_10083,X_10083,X_10083)
| cyclic(X_10083,X_10084,X_10083,X_10083) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_10084)),bind(B,$fot(X_10083)),bind(C,$fot(X_10083)),bind(D,$fot(X_10083))]]) ).
cnf(refute_0_18,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_20]) ).
cnf(refute_0_19,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_10082,X_10081),X_10082,skolemFOFtoCNF_P_1(X_10082,X_10081),X_10081)
| cyclic(X_10082,X_10081,X_10081,X_10081) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_10082)),bind(B,$fot(X_10081)),bind(C,$fot(X_10081)),bind(D,$fot(X_10081)),bind(O,$fot(skolemFOFtoCNF_P_1(X_10082,X_10081)))]]) ).
cnf(refute_0_20,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_21,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_4377,X_4376),X_4377,X_4376)
| cong(skolemFOFtoCNF_P_1(X_4377,X_4376),X_4377,skolemFOFtoCNF_P_1(X_4377,X_4376),X_4376) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_P_1(X_4377,X_4376))),bind(B,$fot(X_4377)),bind(C,$fot(X_4376))]]) ).
cnf(refute_0_22,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_25]) ).
cnf(refute_0_23,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_24,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_25,plain,
( ~ coll(X_501,X_501,X_500)
| coll(X_501,X_500,X_501) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_501)),bind(B,$fot(X_501)),bind(C,$fot(X_500))]]) ).
cnf(refute_0_26,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_27,plain,
( ~ coll(X_485,X_486,X_486)
| coll(X_486,X_486,X_485) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_485)),bind(B,$fot(X_486)),bind(C,$fot(X_486)),bind(D,$fot(X_486))]]) ).
cnf(refute_0_28,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_29,plain,
( ~ para(X_378,X_379,X_378,X_379)
| coll(X_378,X_379,X_379) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_378)),bind(B,$fot(X_379)),bind(C,$fot(X_379))]]) ).
cnf(refute_0_30,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_31,plain,
( ~ eqangle(X_376,X_377,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_376,X_377,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_376,X_377,X_376,X_377) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(X_376)),bind(B,$fot(X_377)),bind(C,$fot(X_376)),bind(D,$fot(X_377)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_32,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_33,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_34,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_35,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_36,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_38,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_38,refute_0_33]) ).
cnf(refute_0_40,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_39,refute_0_32]) ).
cnf(refute_0_41,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_10:[bind(A,$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_42,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_44,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_43:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_45,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_44]) ).
cnf(refute_0_46,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_30:[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_47,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_49,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154) ),
inference(subst,[],[refute_0_48:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(X_153)),bind(Q,$fot(X_154))]]) ).
cnf(refute_0_50,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_47,refute_0_49]) ).
cnf(refute_0_51,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_374,X_375,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_374,X_375),
inference(subst,[],[refute_0_50:[bind(X_153,$fot(X_374)),bind(X_154,$fot(X_375))]]) ).
cnf(refute_0_52,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_53,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_374,X_375,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_374,X_375)
| eqangle(X_374,X_375,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_374,X_375,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_52:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_374)),bind(D,$fot(X_375)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_374)),bind(V,$fot(X_375))]]) ).
cnf(refute_0_54,plain,
eqangle(X_374,X_375,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_374,X_375,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_374,X_375,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_374,X_375) )],[refute_0_51,refute_0_53]) ).
cnf(refute_0_55,plain,
eqangle(X_376,X_377,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_376,X_377,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_54:[bind(X_374,$fot(X_376)),bind(X_375,$fot(X_377))]]) ).
cnf(refute_0_56,plain,
para(X_376,X_377,X_376,X_377),
inference(resolve,[$cnf( eqangle(X_376,X_377,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_376,X_377,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_55,refute_0_31]) ).
cnf(refute_0_57,plain,
para(X_378,X_379,X_378,X_379),
inference(subst,[],[refute_0_56:[bind(X_376,$fot(X_378)),bind(X_377,$fot(X_379))]]) ).
cnf(refute_0_58,plain,
coll(X_378,X_379,X_379),
inference(resolve,[$cnf( para(X_378,X_379,X_378,X_379) )],[refute_0_57,refute_0_29]) ).
cnf(refute_0_59,plain,
coll(X_485,X_486,X_486),
inference(subst,[],[refute_0_58:[bind(X_378,$fot(X_485)),bind(X_379,$fot(X_486))]]) ).
cnf(refute_0_60,plain,
coll(X_486,X_486,X_485),
inference(resolve,[$cnf( coll(X_485,X_486,X_486) )],[refute_0_59,refute_0_27]) ).
cnf(refute_0_61,plain,
coll(X_501,X_501,X_500),
inference(subst,[],[refute_0_60:[bind(X_485,$fot(X_500)),bind(X_486,$fot(X_501))]]) ).
cnf(refute_0_62,plain,
coll(X_501,X_500,X_501),
inference(resolve,[$cnf( coll(X_501,X_501,X_500) )],[refute_0_61,refute_0_25]) ).
cnf(refute_0_63,plain,
coll(D,D,D),
inference(subst,[],[refute_0_62:[bind(X_500,$fot(D)),bind(X_501,$fot(D))]]) ).
cnf(refute_0_64,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_63,refute_0_23]) ).
cnf(refute_0_65,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),X_4366,X_4366)
| midp(skolemFOFtoCNF_P_1(X_4366,Q),X_4366,Q) ),
inference(subst,[],[refute_0_64:[bind(D,$fot(X_4366)),bind(N,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_66,plain,
para(X_3395,X_3396,X_3395,X_3396),
inference(subst,[],[refute_0_56:[bind(X_376,$fot(X_3395)),bind(X_377,$fot(X_3396))]]) ).
cnf(refute_0_67,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_68,plain,
( ~ midp(X_3397,X_3395,X_3395)
| ~ para(X_3395,X_3396,X_3395,X_3396)
| midp(X_3397,X_3396,X_3396) ),
inference(subst,[],[refute_0_67:[bind(A,$fot(X_3395)),bind(B,$fot(X_3395)),bind(C,$fot(X_3396)),bind(D,$fot(X_3396)),bind(M,$fot(X_3397))]]) ).
cnf(refute_0_69,plain,
( ~ midp(X_3397,X_3395,X_3395)
| midp(X_3397,X_3396,X_3396) ),
inference(resolve,[$cnf( para(X_3395,X_3396,X_3395,X_3396) )],[refute_0_66,refute_0_68]) ).
cnf(refute_0_70,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),X_3396,X_3396) ),
inference(subst,[],[refute_0_69:[bind(X_3395,$fot(skolemFOFtoCNF_B_1)),bind(X_3397,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_71,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,Q),skolemFOFtoCNF_B_1,Q) ),
inference(subst,[],[refute_0_64:[bind(D,$fot(skolemFOFtoCNF_B_1)),bind(N,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_72,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_73,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_74,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_75,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_76,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_77,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_78,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_79,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_80,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_39,refute_0_79]) ).
cnf(refute_0_81,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_82,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_84,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_85,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_84:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_86,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_87,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_88,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_56]) ).
cnf(refute_0_89,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(H,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)))]]) ).
cnf(refute_0_90,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_91,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_92,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_91:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)))]]) ).
cnf(refute_0_93,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_94,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_91:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_95,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_96,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_97,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| circle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_98,plain,
circle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_39,refute_0_97]) ).
cnf(refute_0_99,plain,
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_100,plain,
( ~ circle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_99:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_101,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_98,refute_0_100]) ).
cnf(refute_0_102,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_101,refute_0_95]) ).
cnf(refute_0_103,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_102,refute_0_94]) ).
cnf(refute_0_104,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1) )],[refute_0_103,refute_0_93]) ).
cnf(refute_0_105,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)) )],[refute_0_104,refute_0_92]) ).
cnf(refute_0_106,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_105,refute_0_90]) ).
cnf(refute_0_107,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_106,refute_0_89]) ).
cnf(refute_0_108,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_107,refute_0_87]) ).
cnf(refute_0_109,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) ),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_110,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_109:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(H,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)))]]) ).
cnf(refute_0_111,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_108,refute_0_110]) ).
cnf(refute_0_112,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_111,refute_0_85]) ).
cnf(refute_0_113,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_B_1) )],[refute_0_112,refute_0_83]) ).
cnf(refute_0_114,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1610)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_1610,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1610))]]) ).
cnf(refute_0_115,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1610)
| coll(skolemFOFtoCNF_C_1,X_1610,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1610),
inference(subst,[],[refute_0_60:[bind(X_485,$fot(X_1610)),bind(X_486,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_117,plain,
coll(skolemFOFtoCNF_C_1,X_1610,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1610) )],[refute_0_116,refute_0_115]) ).
cnf(refute_0_118,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_117:[bind(X_1610,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_119,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_118,refute_0_82]) ).
cnf(refute_0_120,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_119,refute_0_78]) ).
cnf(refute_0_121,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_122,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_91:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_123,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| circle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_124,plain,
circle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_80,refute_0_123]) ).
cnf(refute_0_125,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_126,plain,
( ~ coll(X_1730,skolemFOFtoCNF_H,C)
| ~ coll(X_1730,skolemFOFtoCNF_H,X_1731)
| coll(C,X_1731,X_1730) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1730)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_1731))]]) ).
cnf(refute_0_127,plain,
( ~ coll(skolemFOFtoCNF_H,X_1716,X_1717)
| coll(X_1716,skolemFOFtoCNF_H,X_1717) ),
inference(subst,[],[refute_0_84:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(X_1716)),bind(C,$fot(X_1717))]]) ).
cnf(refute_0_128,plain,
( ~ coll(X_1680,skolemFOFtoCNF_C_1,D)
| ~ coll(X_1680,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,D,X_1680) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1680)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_129,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_1661,skolemFOFtoCNF_H)
| coll(X_1661,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_84:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1661)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_130,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_131,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_132,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_133,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_134,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_134,refute_0_131]) ).
cnf(refute_0_136,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) )],[refute_0_135,refute_0_130]) ).
cnf(refute_0_137,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_1610)
| ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_1610,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1610))]]) ).
cnf(refute_0_138,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_1610)
| coll(skolemFOFtoCNF_C_1,X_1610,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_1610),
inference(subst,[],[refute_0_60:[bind(X_485,$fot(X_1610)),bind(X_486,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_140,plain,
coll(skolemFOFtoCNF_C_1,X_1610,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_1610) )],[refute_0_139,refute_0_138]) ).
cnf(refute_0_141,plain,
coll(skolemFOFtoCNF_C_1,X_1661,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_140:[bind(X_1610,$fot(X_1661))]]) ).
cnf(refute_0_142,plain,
coll(X_1661,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_1661,skolemFOFtoCNF_H) )],[refute_0_141,refute_0_129]) ).
cnf(refute_0_143,plain,
coll(X_1680,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_142:[bind(X_1661,$fot(X_1680))]]) ).
cnf(refute_0_144,plain,
( ~ coll(X_1680,skolemFOFtoCNF_C_1,D)
| coll(skolemFOFtoCNF_H,D,X_1680) ),
inference(resolve,[$cnf( coll(X_1680,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) )],[refute_0_143,refute_0_128]) ).
cnf(refute_0_145,plain,
( ~ coll(X_1677,skolemFOFtoCNF_E,C)
| ~ coll(X_1677,skolemFOFtoCNF_E,X_1678)
| coll(C,X_1678,X_1677) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1677)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_1678))]]) ).
cnf(refute_0_146,plain,
( ~ coll(skolemFOFtoCNF_E,X_1675,X_1676)
| coll(X_1675,skolemFOFtoCNF_E,X_1676) ),
inference(subst,[],[refute_0_84:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(X_1675)),bind(C,$fot(X_1676))]]) ).
cnf(refute_0_147,plain,
( ~ coll(X_1647,skolemFOFtoCNF_A,D)
| ~ coll(X_1647,skolemFOFtoCNF_A,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,D,X_1647) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1647)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_148,plain,
( ~ coll(skolemFOFtoCNF_E,X_1625,C)
| ~ coll(skolemFOFtoCNF_E,X_1625,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(X_1625)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_149,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_150,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_151,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_152,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_152,refute_0_149]) ).
cnf(refute_0_154,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1610)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,X_1610,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_1610))]]) ).
cnf(refute_0_155,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1610)
| coll(skolemFOFtoCNF_E,X_1610,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1610),
inference(subst,[],[refute_0_60:[bind(X_485,$fot(X_1610)),bind(X_486,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_157,plain,
coll(skolemFOFtoCNF_E,X_1610,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1610) )],[refute_0_156,refute_0_155]) ).
cnf(refute_0_158,plain,
coll(skolemFOFtoCNF_E,X_1625,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_157:[bind(X_1610,$fot(X_1625))]]) ).
cnf(refute_0_159,plain,
( ~ coll(skolemFOFtoCNF_E,X_1625,C)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,X_1625,skolemFOFtoCNF_A) )],[refute_0_158,refute_0_148]) ).
cnf(refute_0_160,plain,
coll(X_1608,X_1608,X_1609),
inference(subst,[],[refute_0_60:[bind(X_485,$fot(X_1609)),bind(X_486,$fot(X_1608))]]) ).
cnf(refute_0_161,plain,
( ~ coll(X_1608,X_1608,X_1609)
| ~ coll(X_1608,X_1608,X_1610)
| coll(X_1609,X_1610,X_1608) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1608)),bind(B,$fot(X_1608)),bind(C,$fot(X_1609)),bind(D,$fot(X_1610))]]) ).
cnf(refute_0_162,plain,
( ~ coll(X_1608,X_1608,X_1610)
| coll(X_1609,X_1610,X_1608) ),
inference(resolve,[$cnf( coll(X_1608,X_1608,X_1609) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
coll(X_1608,X_1608,X_1610),
inference(subst,[],[refute_0_60:[bind(X_485,$fot(X_1610)),bind(X_486,$fot(X_1608))]]) ).
cnf(refute_0_164,plain,
coll(X_1609,X_1610,X_1608),
inference(resolve,[$cnf( coll(X_1608,X_1608,X_1610) )],[refute_0_163,refute_0_162]) ).
cnf(refute_0_165,plain,
coll(skolemFOFtoCNF_E,X_1625,C),
inference(subst,[],[refute_0_164:[bind(X_1608,$fot(C)),bind(X_1609,$fot(skolemFOFtoCNF_E)),bind(X_1610,$fot(X_1625))]]) ).
cnf(refute_0_166,plain,
coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,X_1625,C) )],[refute_0_165,refute_0_159]) ).
cnf(refute_0_167,plain,
coll(X_1647,skolemFOFtoCNF_A,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_166:[bind(C,$fot(X_1647))]]) ).
cnf(refute_0_168,plain,
( ~ coll(X_1647,skolemFOFtoCNF_A,D)
| coll(skolemFOFtoCNF_E,D,X_1647) ),
inference(resolve,[$cnf( coll(X_1647,skolemFOFtoCNF_A,skolemFOFtoCNF_E) )],[refute_0_167,refute_0_147]) ).
cnf(refute_0_169,plain,
coll(X_1647,skolemFOFtoCNF_A,D),
inference(subst,[],[refute_0_164:[bind(X_1608,$fot(D)),bind(X_1609,$fot(X_1647)),bind(X_1610,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_170,plain,
coll(skolemFOFtoCNF_E,D,X_1647),
inference(resolve,[$cnf( coll(X_1647,skolemFOFtoCNF_A,D) )],[refute_0_169,refute_0_168]) ).
cnf(refute_0_171,plain,
coll(skolemFOFtoCNF_E,X_1675,X_1676),
inference(subst,[],[refute_0_170:[bind(D,$fot(X_1675)),bind(X_1647,$fot(X_1676))]]) ).
cnf(refute_0_172,plain,
coll(X_1675,skolemFOFtoCNF_E,X_1676),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,X_1675,X_1676) )],[refute_0_171,refute_0_146]) ).
cnf(refute_0_173,plain,
coll(X_1677,skolemFOFtoCNF_E,X_1678),
inference(subst,[],[refute_0_172:[bind(X_1675,$fot(X_1677)),bind(X_1676,$fot(X_1678))]]) ).
cnf(refute_0_174,plain,
( ~ coll(X_1677,skolemFOFtoCNF_E,C)
| coll(C,X_1678,X_1677) ),
inference(resolve,[$cnf( coll(X_1677,skolemFOFtoCNF_E,X_1678) )],[refute_0_173,refute_0_145]) ).
cnf(refute_0_175,plain,
( ~ coll(X_1671,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1671,skolemFOFtoCNF_B_1,X_1672)
| coll(C,X_1672,X_1671) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1671)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1672))]]) ).
cnf(refute_0_176,plain,
( ~ coll(X_1643,skolemFOFtoCNF_A,C)
| ~ coll(X_1643,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_1643) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1643)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_177,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_1622,C)
| ~ coll(skolemFOFtoCNF_B_1,X_1622,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1622)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_178,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_179,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_180,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_84:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_181,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_183,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_183,refute_0_178]) ).
cnf(refute_0_185,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1610)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_1610,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1610))]]) ).
cnf(refute_0_186,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1610)
| coll(skolemFOFtoCNF_B_1,X_1610,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
coll(skolemFOFtoCNF_B_1,X_1610,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1610) )],[refute_0_156,refute_0_186]) ).
cnf(refute_0_188,plain,
coll(skolemFOFtoCNF_B_1,X_1622,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_187:[bind(X_1610,$fot(X_1622))]]) ).
cnf(refute_0_189,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_1622,C)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1622,skolemFOFtoCNF_A) )],[refute_0_188,refute_0_177]) ).
cnf(refute_0_190,plain,
coll(skolemFOFtoCNF_B_1,X_1622,C),
inference(subst,[],[refute_0_164:[bind(X_1608,$fot(C)),bind(X_1609,$fot(skolemFOFtoCNF_B_1)),bind(X_1610,$fot(X_1622))]]) ).
cnf(refute_0_191,plain,
coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1622,C) )],[refute_0_190,refute_0_189]) ).
cnf(refute_0_192,plain,
coll(X_1643,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_191:[bind(C,$fot(X_1643))]]) ).
cnf(refute_0_193,plain,
( ~ coll(X_1643,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_B_1,X_1643) ),
inference(resolve,[$cnf( coll(X_1643,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_192,refute_0_176]) ).
cnf(refute_0_194,plain,
coll(X_1643,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_164:[bind(X_1608,$fot(C)),bind(X_1609,$fot(X_1643)),bind(X_1610,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_195,plain,
coll(C,skolemFOFtoCNF_B_1,X_1643),
inference(resolve,[$cnf( coll(X_1643,skolemFOFtoCNF_A,C) )],[refute_0_194,refute_0_193]) ).
cnf(refute_0_196,plain,
coll(X_1671,skolemFOFtoCNF_B_1,X_1672),
inference(subst,[],[refute_0_195:[bind(C,$fot(X_1671)),bind(X_1643,$fot(X_1672))]]) ).
cnf(refute_0_197,plain,
( ~ coll(X_1671,skolemFOFtoCNF_B_1,C)
| coll(C,X_1672,X_1671) ),
inference(resolve,[$cnf( coll(X_1671,skolemFOFtoCNF_B_1,X_1672) )],[refute_0_196,refute_0_175]) ).
cnf(refute_0_198,plain,
coll(X_1671,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_164:[bind(X_1608,$fot(C)),bind(X_1609,$fot(X_1671)),bind(X_1610,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_199,plain,
coll(C,X_1672,X_1671),
inference(resolve,[$cnf( coll(X_1671,skolemFOFtoCNF_B_1,C) )],[refute_0_198,refute_0_197]) ).
cnf(refute_0_200,plain,
coll(X_1677,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_199:[bind(C,$fot(X_1677)),bind(X_1671,$fot(C)),bind(X_1672,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_201,plain,
coll(C,X_1678,X_1677),
inference(resolve,[$cnf( coll(X_1677,skolemFOFtoCNF_E,C) )],[refute_0_200,refute_0_174]) ).
cnf(refute_0_202,plain,
coll(X_1680,skolemFOFtoCNF_C_1,D),
inference(subst,[],[refute_0_201:[bind(C,$fot(X_1680)),bind(X_1677,$fot(D)),bind(X_1678,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_203,plain,
coll(skolemFOFtoCNF_H,D,X_1680),
inference(resolve,[$cnf( coll(X_1680,skolemFOFtoCNF_C_1,D) )],[refute_0_202,refute_0_144]) ).
cnf(refute_0_204,plain,
coll(skolemFOFtoCNF_H,X_1716,X_1717),
inference(subst,[],[refute_0_203:[bind(D,$fot(X_1716)),bind(X_1680,$fot(X_1717))]]) ).
cnf(refute_0_205,plain,
coll(X_1716,skolemFOFtoCNF_H,X_1717),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,X_1716,X_1717) )],[refute_0_204,refute_0_127]) ).
cnf(refute_0_206,plain,
coll(X_1730,skolemFOFtoCNF_H,X_1731),
inference(subst,[],[refute_0_205:[bind(X_1716,$fot(X_1730)),bind(X_1717,$fot(X_1731))]]) ).
cnf(refute_0_207,plain,
( ~ coll(X_1730,skolemFOFtoCNF_H,C)
| coll(C,X_1731,X_1730) ),
inference(resolve,[$cnf( coll(X_1730,skolemFOFtoCNF_H,X_1731) )],[refute_0_206,refute_0_126]) ).
cnf(refute_0_208,plain,
( ~ coll(X_1728,skolemFOFtoCNF_F,C)
| ~ coll(X_1728,skolemFOFtoCNF_F,X_1729)
| coll(C,X_1729,X_1728) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1728)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_1729))]]) ).
cnf(refute_0_209,plain,
( ~ coll(skolemFOFtoCNF_F,X_1726,X_1727)
| coll(X_1726,skolemFOFtoCNF_F,X_1727) ),
inference(subst,[],[refute_0_84:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(X_1726)),bind(C,$fot(X_1727))]]) ).
cnf(refute_0_210,plain,
( ~ coll(X_1669,X_1670,D)
| ~ coll(X_1669,X_1670,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,D,X_1669) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1669)),bind(B,$fot(X_1670)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_211,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,C)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,X_1636)
| coll(C,X_1636,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_1636))]]) ).
cnf(refute_0_212,plain,
( ~ coll(skolemFOFtoCNF_F,X_1635,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,X_1635) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(X_1635)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_213,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_214,plain,
midp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_215,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_216,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_215:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_217,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_E),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_E) )],[refute_0_214,refute_0_216]) ).
cnf(refute_0_218,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_E) )],[refute_0_217,refute_0_213]) ).
cnf(refute_0_219,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1610)
| ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,X_1610,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_1610))]]) ).
cnf(refute_0_220,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1610)
| coll(skolemFOFtoCNF_F,X_1610,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_F) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1610),
inference(subst,[],[refute_0_60:[bind(X_485,$fot(X_1610)),bind(X_486,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_222,plain,
coll(skolemFOFtoCNF_F,X_1610,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1610) )],[refute_0_221,refute_0_220]) ).
cnf(refute_0_223,plain,
coll(skolemFOFtoCNF_F,X_1635,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_222:[bind(X_1610,$fot(X_1635))]]) ).
cnf(refute_0_224,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,X_1635),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,X_1635,skolemFOFtoCNF_E) )],[refute_0_223,refute_0_212]) ).
cnf(refute_0_225,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,X_1636),
inference(subst,[],[refute_0_224:[bind(X_1635,$fot(X_1636))]]) ).
cnf(refute_0_226,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,C)
| coll(C,X_1636,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,X_1636) )],[refute_0_225,refute_0_211]) ).
cnf(refute_0_227,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_164:[bind(X_1608,$fot(C)),bind(X_1609,$fot(skolemFOFtoCNF_F)),bind(X_1610,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_228,plain,
coll(C,X_1636,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,C) )],[refute_0_227,refute_0_226]) ).
cnf(refute_0_229,plain,
coll(X_1669,X_1670,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_228:[bind(C,$fot(X_1669)),bind(X_1636,$fot(X_1670))]]) ).
cnf(refute_0_230,plain,
( ~ coll(X_1669,X_1670,D)
| coll(skolemFOFtoCNF_F,D,X_1669) ),
inference(resolve,[$cnf( coll(X_1669,X_1670,skolemFOFtoCNF_F) )],[refute_0_229,refute_0_210]) ).
cnf(refute_0_231,plain,
coll(X_1669,X_1670,D),
inference(subst,[],[refute_0_164:[bind(X_1608,$fot(D)),bind(X_1609,$fot(X_1669)),bind(X_1610,$fot(X_1670))]]) ).
cnf(refute_0_232,plain,
coll(skolemFOFtoCNF_F,D,X_1669),
inference(resolve,[$cnf( coll(X_1669,X_1670,D) )],[refute_0_231,refute_0_230]) ).
cnf(refute_0_233,plain,
coll(skolemFOFtoCNF_F,X_1726,X_1727),
inference(subst,[],[refute_0_232:[bind(D,$fot(X_1726)),bind(X_1669,$fot(X_1727))]]) ).
cnf(refute_0_234,plain,
coll(X_1726,skolemFOFtoCNF_F,X_1727),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,X_1726,X_1727) )],[refute_0_233,refute_0_209]) ).
cnf(refute_0_235,plain,
coll(X_1728,skolemFOFtoCNF_F,X_1729),
inference(subst,[],[refute_0_234:[bind(X_1726,$fot(X_1728)),bind(X_1727,$fot(X_1729))]]) ).
cnf(refute_0_236,plain,
( ~ coll(X_1728,skolemFOFtoCNF_F,C)
| coll(C,X_1729,X_1728) ),
inference(resolve,[$cnf( coll(X_1728,skolemFOFtoCNF_F,X_1729) )],[refute_0_235,refute_0_208]) ).
cnf(refute_0_237,plain,
( ~ coll(X_1724,skolemFOFtoCNF_C_1,C)
| ~ coll(X_1724,skolemFOFtoCNF_C_1,X_1725)
| coll(C,X_1725,X_1724) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1724)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1725))]]) ).
cnf(refute_0_238,plain,
( ~ coll(X_1642,skolemFOFtoCNF_E,C)
| ~ coll(X_1642,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,X_1642) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1642)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_239,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_1616,C)
| ~ coll(skolemFOFtoCNF_C_1,X_1616,skolemFOFtoCNF_E)
| coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1616)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_240,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_241,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_84:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_242,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_244,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_E) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1610)
| ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_1610,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1610))]]) ).
cnf(refute_0_246,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1610)
| coll(skolemFOFtoCNF_C_1,X_1610,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
coll(skolemFOFtoCNF_C_1,X_1610,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1610) )],[refute_0_221,refute_0_246]) ).
cnf(refute_0_248,plain,
coll(skolemFOFtoCNF_C_1,X_1616,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_247:[bind(X_1610,$fot(X_1616))]]) ).
cnf(refute_0_249,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_1616,C)
| coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_1616,skolemFOFtoCNF_E) )],[refute_0_248,refute_0_239]) ).
cnf(refute_0_250,plain,
coll(skolemFOFtoCNF_C_1,X_1616,C),
inference(subst,[],[refute_0_164:[bind(X_1608,$fot(C)),bind(X_1609,$fot(skolemFOFtoCNF_C_1)),bind(X_1610,$fot(X_1616))]]) ).
cnf(refute_0_251,plain,
coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_1616,C) )],[refute_0_250,refute_0_249]) ).
cnf(refute_0_252,plain,
coll(X_1642,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_251:[bind(C,$fot(X_1642))]]) ).
cnf(refute_0_253,plain,
( ~ coll(X_1642,skolemFOFtoCNF_E,C)
| coll(C,skolemFOFtoCNF_C_1,X_1642) ),
inference(resolve,[$cnf( coll(X_1642,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_252,refute_0_238]) ).
cnf(refute_0_254,plain,
coll(X_1642,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_164:[bind(X_1608,$fot(C)),bind(X_1609,$fot(X_1642)),bind(X_1610,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_255,plain,
coll(C,skolemFOFtoCNF_C_1,X_1642),
inference(resolve,[$cnf( coll(X_1642,skolemFOFtoCNF_E,C) )],[refute_0_254,refute_0_253]) ).
cnf(refute_0_256,plain,
coll(X_1724,skolemFOFtoCNF_C_1,X_1725),
inference(subst,[],[refute_0_255:[bind(C,$fot(X_1724)),bind(X_1642,$fot(X_1725))]]) ).
cnf(refute_0_257,plain,
( ~ coll(X_1724,skolemFOFtoCNF_C_1,C)
| coll(C,X_1725,X_1724) ),
inference(resolve,[$cnf( coll(X_1724,skolemFOFtoCNF_C_1,X_1725) )],[refute_0_256,refute_0_237]) ).
cnf(refute_0_258,plain,
( ~ coll(X_1703,skolemFOFtoCNF_D,C)
| ~ coll(X_1703,skolemFOFtoCNF_D,X_1704)
| coll(C,X_1704,X_1703) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1703)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_1704))]]) ).
cnf(refute_0_259,plain,
( ~ coll(skolemFOFtoCNF_D,X_1701,X_1702)
| coll(X_1701,skolemFOFtoCNF_D,X_1702) ),
inference(subst,[],[refute_0_84:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_1701)),bind(C,$fot(X_1702))]]) ).
cnf(refute_0_260,plain,
( ~ coll(X_1700,skolemFOFtoCNF_F,D)
| ~ coll(X_1700,skolemFOFtoCNF_F,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,D,X_1700) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1700)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_261,plain,
( ~ coll(skolemFOFtoCNF_F,X_1632,skolemFOFtoCNF_D)
| coll(X_1632,skolemFOFtoCNF_F,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_84:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(X_1632)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_262,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_263,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_E)
| midp(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_D)),bind(M,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_264,plain,
midp(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_D),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_E) )],[refute_0_214,refute_0_263]) ).
cnf(refute_0_265,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_215:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_266,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_D),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_D) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_D) )],[refute_0_266,refute_0_262]) ).
cnf(refute_0_268,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_1610)
| ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,X_1610,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_1610))]]) ).
cnf(refute_0_269,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_1610)
| coll(skolemFOFtoCNF_F,X_1610,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_1610),
inference(subst,[],[refute_0_60:[bind(X_485,$fot(X_1610)),bind(X_486,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_271,plain,
coll(skolemFOFtoCNF_F,X_1610,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_1610) )],[refute_0_270,refute_0_269]) ).
cnf(refute_0_272,plain,
coll(skolemFOFtoCNF_F,X_1632,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_271:[bind(X_1610,$fot(X_1632))]]) ).
cnf(refute_0_273,plain,
coll(X_1632,skolemFOFtoCNF_F,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,X_1632,skolemFOFtoCNF_D) )],[refute_0_272,refute_0_261]) ).
cnf(refute_0_274,plain,
coll(X_1700,skolemFOFtoCNF_F,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_273:[bind(X_1632,$fot(X_1700))]]) ).
cnf(refute_0_275,plain,
( ~ coll(X_1700,skolemFOFtoCNF_F,D)
| coll(skolemFOFtoCNF_D,D,X_1700) ),
inference(resolve,[$cnf( coll(X_1700,skolemFOFtoCNF_F,skolemFOFtoCNF_D) )],[refute_0_274,refute_0_260]) ).
cnf(refute_0_276,plain,
( ~ coll(X_1692,skolemFOFtoCNF_G,C)
| ~ coll(X_1692,skolemFOFtoCNF_G,X_1693)
| coll(C,X_1693,X_1692) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1692)),bind(B,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_1693))]]) ).
cnf(refute_0_277,plain,
( ~ coll(X_1630,skolemFOFtoCNF_C_1,C)
| ~ coll(X_1630,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G)
| coll(C,skolemFOFtoCNF_G,X_1630) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1630)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_278,plain,
( ~ coll(skolemFOFtoCNF_G,X_1629,C)
| ~ coll(skolemFOFtoCNF_G,X_1629,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(X_1629)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_279,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_280,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_281,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_240,refute_0_280]) ).
cnf(refute_0_282,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_281,refute_0_279]) ).
cnf(refute_0_283,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1610)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,X_1610,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_1610))]]) ).
cnf(refute_0_284,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1610)
| coll(skolemFOFtoCNF_G,X_1610,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1610),
inference(subst,[],[refute_0_60:[bind(X_485,$fot(X_1610)),bind(X_486,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_286,plain,
coll(skolemFOFtoCNF_G,X_1610,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1610) )],[refute_0_285,refute_0_284]) ).
cnf(refute_0_287,plain,
coll(skolemFOFtoCNF_G,X_1629,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_286:[bind(X_1610,$fot(X_1629))]]) ).
cnf(refute_0_288,plain,
( ~ coll(skolemFOFtoCNF_G,X_1629,C)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,X_1629,skolemFOFtoCNF_C_1) )],[refute_0_287,refute_0_278]) ).
cnf(refute_0_289,plain,
coll(skolemFOFtoCNF_G,X_1629,C),
inference(subst,[],[refute_0_164:[bind(X_1608,$fot(C)),bind(X_1609,$fot(skolemFOFtoCNF_G)),bind(X_1610,$fot(X_1629))]]) ).
cnf(refute_0_290,plain,
coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,X_1629,C) )],[refute_0_289,refute_0_288]) ).
cnf(refute_0_291,plain,
coll(X_1630,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_290:[bind(C,$fot(X_1630))]]) ).
cnf(refute_0_292,plain,
( ~ coll(X_1630,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_G,X_1630) ),
inference(resolve,[$cnf( coll(X_1630,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G) )],[refute_0_291,refute_0_277]) ).
cnf(refute_0_293,plain,
coll(X_1630,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_164:[bind(X_1608,$fot(C)),bind(X_1609,$fot(X_1630)),bind(X_1610,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_294,plain,
coll(C,skolemFOFtoCNF_G,X_1630),
inference(resolve,[$cnf( coll(X_1630,skolemFOFtoCNF_C_1,C) )],[refute_0_293,refute_0_292]) ).
cnf(refute_0_295,plain,
coll(X_1692,skolemFOFtoCNF_G,X_1693),
inference(subst,[],[refute_0_294:[bind(C,$fot(X_1692)),bind(X_1630,$fot(X_1693))]]) ).
cnf(refute_0_296,plain,
( ~ coll(X_1692,skolemFOFtoCNF_G,C)
| coll(C,X_1693,X_1692) ),
inference(resolve,[$cnf( coll(X_1692,skolemFOFtoCNF_G,X_1693) )],[refute_0_295,refute_0_276]) ).
cnf(refute_0_297,plain,
( ~ coll(X_1681,skolemFOFtoCNF_A,C)
| ~ coll(X_1681,skolemFOFtoCNF_A,X_1682)
| coll(C,X_1682,X_1681) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1681)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1682))]]) ).
cnf(refute_0_298,plain,
( ~ coll(X_1624,skolemFOFtoCNF_D,C)
| ~ coll(X_1624,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,X_1624) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1624)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_299,plain,
( ~ coll(skolemFOFtoCNF_D,X_1623,skolemFOFtoCNF_A)
| coll(X_1623,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_84:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_1623)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_300,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_301,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_302,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_179,refute_0_301]) ).
cnf(refute_0_303,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_302,refute_0_300]) ).
cnf(refute_0_304,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1610)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,X_1610,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_1610))]]) ).
cnf(refute_0_305,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1610)
| coll(skolemFOFtoCNF_D,X_1610,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
coll(skolemFOFtoCNF_D,X_1610,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1610) )],[refute_0_156,refute_0_305]) ).
cnf(refute_0_307,plain,
coll(skolemFOFtoCNF_D,X_1623,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_306:[bind(X_1610,$fot(X_1623))]]) ).
cnf(refute_0_308,plain,
coll(X_1623,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_1623,skolemFOFtoCNF_A) )],[refute_0_307,refute_0_299]) ).
cnf(refute_0_309,plain,
coll(X_1624,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_308:[bind(X_1623,$fot(X_1624))]]) ).
cnf(refute_0_310,plain,
( ~ coll(X_1624,skolemFOFtoCNF_D,C)
| coll(C,skolemFOFtoCNF_A,X_1624) ),
inference(resolve,[$cnf( coll(X_1624,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_309,refute_0_298]) ).
cnf(refute_0_311,plain,
coll(X_1624,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_164:[bind(X_1608,$fot(C)),bind(X_1609,$fot(X_1624)),bind(X_1610,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_312,plain,
coll(C,skolemFOFtoCNF_A,X_1624),
inference(resolve,[$cnf( coll(X_1624,skolemFOFtoCNF_D,C) )],[refute_0_311,refute_0_310]) ).
cnf(refute_0_313,plain,
coll(X_1681,skolemFOFtoCNF_A,X_1682),
inference(subst,[],[refute_0_312:[bind(C,$fot(X_1681)),bind(X_1624,$fot(X_1682))]]) ).
cnf(refute_0_314,plain,
( ~ coll(X_1681,skolemFOFtoCNF_A,C)
| coll(C,X_1682,X_1681) ),
inference(resolve,[$cnf( coll(X_1681,skolemFOFtoCNF_A,X_1682) )],[refute_0_313,refute_0_297]) ).
cnf(refute_0_315,plain,
coll(X_1681,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_201:[bind(C,$fot(X_1681)),bind(X_1677,$fot(C)),bind(X_1678,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_316,plain,
coll(C,X_1682,X_1681),
inference(resolve,[$cnf( coll(X_1681,skolemFOFtoCNF_A,C) )],[refute_0_315,refute_0_314]) ).
cnf(refute_0_317,plain,
coll(X_1692,skolemFOFtoCNF_G,C),
inference(subst,[],[refute_0_316:[bind(C,$fot(X_1692)),bind(X_1681,$fot(C)),bind(X_1682,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_318,plain,
coll(C,X_1693,X_1692),
inference(resolve,[$cnf( coll(X_1692,skolemFOFtoCNF_G,C) )],[refute_0_317,refute_0_296]) ).
cnf(refute_0_319,plain,
coll(X_1700,skolemFOFtoCNF_F,D),
inference(subst,[],[refute_0_318:[bind(C,$fot(X_1700)),bind(X_1692,$fot(D)),bind(X_1693,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_320,plain,
coll(skolemFOFtoCNF_D,D,X_1700),
inference(resolve,[$cnf( coll(X_1700,skolemFOFtoCNF_F,D) )],[refute_0_319,refute_0_275]) ).
cnf(refute_0_321,plain,
coll(skolemFOFtoCNF_D,X_1701,X_1702),
inference(subst,[],[refute_0_320:[bind(D,$fot(X_1701)),bind(X_1700,$fot(X_1702))]]) ).
cnf(refute_0_322,plain,
coll(X_1701,skolemFOFtoCNF_D,X_1702),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_1701,X_1702) )],[refute_0_321,refute_0_259]) ).
cnf(refute_0_323,plain,
coll(X_1703,skolemFOFtoCNF_D,X_1704),
inference(subst,[],[refute_0_322:[bind(X_1701,$fot(X_1703)),bind(X_1702,$fot(X_1704))]]) ).
cnf(refute_0_324,plain,
( ~ coll(X_1703,skolemFOFtoCNF_D,C)
| coll(C,X_1704,X_1703) ),
inference(resolve,[$cnf( coll(X_1703,skolemFOFtoCNF_D,X_1704) )],[refute_0_323,refute_0_258]) ).
cnf(refute_0_325,plain,
coll(X_1703,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_318:[bind(C,$fot(X_1703)),bind(X_1692,$fot(C)),bind(X_1693,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_326,plain,
coll(C,X_1704,X_1703),
inference(resolve,[$cnf( coll(X_1703,skolemFOFtoCNF_D,C) )],[refute_0_325,refute_0_324]) ).
cnf(refute_0_327,plain,
coll(X_1724,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_326:[bind(C,$fot(X_1724)),bind(X_1703,$fot(C)),bind(X_1704,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_328,plain,
coll(C,X_1725,X_1724),
inference(resolve,[$cnf( coll(X_1724,skolemFOFtoCNF_C_1,C) )],[refute_0_327,refute_0_257]) ).
cnf(refute_0_329,plain,
coll(X_1728,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_328:[bind(C,$fot(X_1728)),bind(X_1724,$fot(C)),bind(X_1725,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_330,plain,
coll(C,X_1729,X_1728),
inference(resolve,[$cnf( coll(X_1728,skolemFOFtoCNF_F,C) )],[refute_0_329,refute_0_236]) ).
cnf(refute_0_331,plain,
coll(X_1730,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_330:[bind(C,$fot(X_1730)),bind(X_1728,$fot(C)),bind(X_1729,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_332,plain,
coll(C,X_1731,X_1730),
inference(resolve,[$cnf( coll(X_1730,skolemFOFtoCNF_H,C) )],[refute_0_331,refute_0_207]) ).
cnf(refute_0_333,plain,
coll(O,A,C),
inference(subst,[],[refute_0_332:[bind(C,$fot(O)),bind(X_1730,$fot(C)),bind(X_1731,$fot(A))]]) ).
cnf(refute_0_334,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_333,refute_0_125]) ).
cnf(refute_0_335,plain,
( ~ circle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_334:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_336,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_124,refute_0_335]) ).
cnf(refute_0_337,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_336,refute_0_122]) ).
cnf(refute_0_338,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_337,refute_0_121]) ).
cnf(refute_0_339,plain,
( ~ midp(X_4336,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,X_4336,skolemFOFtoCNF_B_1,X_4336) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(M,$fot(X_4336))]]) ).
cnf(refute_0_340,plain,
( ~ midp(X_4336,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,X_4336,skolemFOFtoCNF_B_1,X_4336) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_340:[bind(X_4336,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_342,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_120,refute_0_341]) ).
cnf(refute_0_343,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_342,refute_0_76]) ).
cnf(refute_0_344,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_343,refute_0_75]) ).
cnf(refute_0_345,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_344,refute_0_74]) ).
cnf(refute_0_346,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_345,refute_0_73]) ).
cnf(refute_0_347,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_332:[bind(C,$fot(skolemFOFtoCNF_C_1)),bind(X_1730,$fot(skolemFOFtoCNF_B_1)),bind(X_1731,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_348,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_347,refute_0_346]) ).
cnf(refute_0_349,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,Q),skolemFOFtoCNF_B_1,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_348,refute_0_71]) ).
cnf(refute_0_350,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_349:[bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_351,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),X_3396,X_3396),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_350,refute_0_70]) ).
cnf(refute_0_352,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),X_4366,X_4366),
inference(subst,[],[refute_0_351:[bind(X_3396,$fot(X_4366))]]) ).
cnf(refute_0_353,plain,
midp(skolemFOFtoCNF_P_1(X_4366,Q),X_4366,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),X_4366,X_4366) )],[refute_0_352,refute_0_65]) ).
cnf(refute_0_354,plain,
midp(skolemFOFtoCNF_P_1(X_4377,X_4376),X_4377,X_4376),
inference(subst,[],[refute_0_353:[bind(Q,$fot(X_4376)),bind(X_4366,$fot(X_4377))]]) ).
cnf(refute_0_355,plain,
cong(skolemFOFtoCNF_P_1(X_4377,X_4376),X_4377,skolemFOFtoCNF_P_1(X_4377,X_4376),X_4376),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_4377,X_4376),X_4377,X_4376) )],[refute_0_354,refute_0_21]) ).
cnf(refute_0_356,plain,
cong(skolemFOFtoCNF_P_1(X_10082,X_10081),X_10082,skolemFOFtoCNF_P_1(X_10082,X_10081),X_10081),
inference(subst,[],[refute_0_355:[bind(X_4376,$fot(X_10081)),bind(X_4377,$fot(X_10082))]]) ).
cnf(refute_0_357,plain,
cyclic(X_10082,X_10081,X_10081,X_10081),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_10082,X_10081),X_10082,skolemFOFtoCNF_P_1(X_10082,X_10081),X_10081) )],[refute_0_356,refute_0_19]) ).
cnf(refute_0_358,plain,
cyclic(X_10084,X_10083,X_10083,X_10083),
inference(subst,[],[refute_0_357:[bind(X_10081,$fot(X_10083)),bind(X_10082,$fot(X_10084))]]) ).
cnf(refute_0_359,plain,
cyclic(X_10083,X_10084,X_10083,X_10083),
inference(resolve,[$cnf( cyclic(X_10084,X_10083,X_10083,X_10083) )],[refute_0_358,refute_0_17]) ).
cnf(refute_0_360,plain,
cyclic(X_10085,X_10086,X_10085,X_10085),
inference(subst,[],[refute_0_359:[bind(X_10083,$fot(X_10085)),bind(X_10084,$fot(X_10086))]]) ).
cnf(refute_0_361,plain,
cyclic(X_10085,X_10085,X_10086,X_10085),
inference(resolve,[$cnf( cyclic(X_10085,X_10086,X_10085,X_10085) )],[refute_0_360,refute_0_15]) ).
cnf(refute_0_362,plain,
cyclic(X_10087,X_10087,X_10088,X_10087),
inference(subst,[],[refute_0_361:[bind(X_10085,$fot(X_10087)),bind(X_10086,$fot(X_10088))]]) ).
cnf(refute_0_363,plain,
cyclic(X_10087,X_10087,X_10087,X_10088),
inference(resolve,[$cnf( cyclic(X_10087,X_10087,X_10088,X_10087) )],[refute_0_362,refute_0_13]) ).
cnf(refute_0_364,plain,
cyclic(X_10089,X_10089,X_10089,X_10090),
inference(subst,[],[refute_0_363:[bind(X_10087,$fot(X_10089)),bind(X_10088,$fot(X_10090))]]) ).
cnf(refute_0_365,plain,
cyclic(X_10089,X_10089,X_10090,X_10090),
inference(resolve,[$cnf( cyclic(X_10089,X_10089,X_10089,X_10090) )],[refute_0_364,refute_0_11]) ).
cnf(refute_0_366,plain,
cyclic(X_10091,X_10091,X_10092,X_10092),
inference(subst,[],[refute_0_365:[bind(X_10089,$fot(X_10091)),bind(X_10090,$fot(X_10092))]]) ).
cnf(refute_0_367,plain,
( ~ cong(X_10091,X_10092,X_10091,X_10092)
| perp(X_10092,X_10091,X_10091,X_10092) ),
inference(resolve,[$cnf( cyclic(X_10091,X_10091,X_10092,X_10092) )],[refute_0_366,refute_0_9]) ).
cnf(refute_0_368,plain,
( ~ midp(X_4593,X_4592,X_4592)
| cong(X_4593,X_4592,X_4593,X_4592) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_4593)),bind(B,$fot(X_4592)),bind(C,$fot(X_4592))]]) ).
cnf(refute_0_369,plain,
( ~ midp(X_4356,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_4356,X_3396,X_3396) ),
inference(subst,[],[refute_0_69:[bind(X_3395,$fot(skolemFOFtoCNF_B_1)),bind(X_3397,$fot(X_4356))]]) ).
cnf(refute_0_370,plain,
( ~ coll(X_4355,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(X_4355,skolemFOFtoCNF_B_1,X_4355,skolemFOFtoCNF_B_1)
| midp(X_4355,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(X_4355)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_371,plain,
( ~ cong(X_4352,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4352)
| cong(X_4352,skolemFOFtoCNF_B_1,X_4352,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_4352)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_4352))]]) ).
cnf(refute_0_372,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_4347,X_4347,skolemFOFtoCNF_B_1)
| cong(X_4347,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4347) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_4347)),bind(C,$fot(X_4347)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_373,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_4341,skolemFOFtoCNF_B_1,X_4341)
| cong(skolemFOFtoCNF_B_1,X_4341,X_4341,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_4341)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_4341))]]) ).
cnf(refute_0_374,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_4339,X_4339)
| cong(skolemFOFtoCNF_B_1,X_4339,skolemFOFtoCNF_B_1,X_4339) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_4339)),bind(C,$fot(X_4339))]]) ).
cnf(refute_0_375,plain,
( ~ midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_B_1,X_3396,X_3396) ),
inference(subst,[],[refute_0_69:[bind(X_3395,$fot(skolemFOFtoCNF_C_1)),bind(X_3397,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_376,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_377,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_342,refute_0_376]) ).
cnf(refute_0_378,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_332:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_1730,$fot(skolemFOFtoCNF_C_1)),bind(X_1731,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_379,plain,
midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_378,refute_0_377]) ).
cnf(refute_0_380,plain,
midp(skolemFOFtoCNF_B_1,X_3396,X_3396),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_379,refute_0_375]) ).
cnf(refute_0_381,plain,
midp(skolemFOFtoCNF_B_1,X_4339,X_4339),
inference(subst,[],[refute_0_380:[bind(X_3396,$fot(X_4339))]]) ).
cnf(refute_0_382,plain,
cong(skolemFOFtoCNF_B_1,X_4339,skolemFOFtoCNF_B_1,X_4339),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_4339,X_4339) )],[refute_0_381,refute_0_374]) ).
cnf(refute_0_383,plain,
cong(skolemFOFtoCNF_B_1,X_4341,skolemFOFtoCNF_B_1,X_4341),
inference(subst,[],[refute_0_382:[bind(X_4339,$fot(X_4341))]]) ).
cnf(refute_0_384,plain,
cong(skolemFOFtoCNF_B_1,X_4341,X_4341,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_4341,skolemFOFtoCNF_B_1,X_4341) )],[refute_0_383,refute_0_373]) ).
cnf(refute_0_385,plain,
cong(skolemFOFtoCNF_B_1,X_4347,X_4347,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_384:[bind(X_4341,$fot(X_4347))]]) ).
cnf(refute_0_386,plain,
cong(X_4347,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4347),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_4347,X_4347,skolemFOFtoCNF_B_1) )],[refute_0_385,refute_0_372]) ).
cnf(refute_0_387,plain,
cong(X_4352,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4352),
inference(subst,[],[refute_0_386:[bind(X_4347,$fot(X_4352))]]) ).
cnf(refute_0_388,plain,
cong(X_4352,skolemFOFtoCNF_B_1,X_4352,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(X_4352,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4352) )],[refute_0_387,refute_0_371]) ).
cnf(refute_0_389,plain,
cong(X_4355,skolemFOFtoCNF_B_1,X_4355,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_388:[bind(X_4352,$fot(X_4355))]]) ).
cnf(refute_0_390,plain,
( ~ coll(X_4355,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_4355,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(X_4355,skolemFOFtoCNF_B_1,X_4355,skolemFOFtoCNF_B_1) )],[refute_0_389,refute_0_370]) ).
cnf(refute_0_391,plain,
coll(X_4355,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_332:[bind(C,$fot(X_4355)),bind(X_1730,$fot(skolemFOFtoCNF_B_1)),bind(X_1731,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_392,plain,
midp(X_4355,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(X_4355,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_391,refute_0_390]) ).
cnf(refute_0_393,plain,
midp(X_4356,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_392:[bind(X_4355,$fot(X_4356))]]) ).
cnf(refute_0_394,plain,
midp(X_4356,X_3396,X_3396),
inference(resolve,[$cnf( midp(X_4356,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_393,refute_0_369]) ).
cnf(refute_0_395,plain,
midp(X_4593,X_4592,X_4592),
inference(subst,[],[refute_0_394:[bind(X_3396,$fot(X_4592)),bind(X_4356,$fot(X_4593))]]) ).
cnf(refute_0_396,plain,
cong(X_4593,X_4592,X_4593,X_4592),
inference(resolve,[$cnf( midp(X_4593,X_4592,X_4592) )],[refute_0_395,refute_0_368]) ).
cnf(refute_0_397,plain,
cong(X_10091,X_10092,X_10091,X_10092),
inference(subst,[],[refute_0_396:[bind(X_4592,$fot(X_10092)),bind(X_4593,$fot(X_10091))]]) ).
cnf(refute_0_398,plain,
perp(X_10092,X_10091,X_10091,X_10092),
inference(resolve,[$cnf( cong(X_10091,X_10092,X_10091,X_10092) )],[refute_0_397,refute_0_367]) ).
cnf(refute_0_399,plain,
perp(X_10094,X_10093,X_10093,X_10094),
inference(subst,[],[refute_0_398:[bind(X_10091,$fot(X_10093)),bind(X_10092,$fot(X_10094))]]) ).
cnf(refute_0_400,plain,
( ~ midp(M,X_10094,X_10094)
| cong(X_10094,M,X_10093,M) ),
inference(resolve,[$cnf( perp(X_10094,X_10093,X_10093,X_10094) )],[refute_0_399,refute_0_7]) ).
cnf(refute_0_401,plain,
( ~ midp(X_4440,skolemFOFtoCNF_E,skolemFOFtoCNF_E)
| midp(X_4440,X_3396,X_3396) ),
inference(subst,[],[refute_0_69:[bind(X_3395,$fot(skolemFOFtoCNF_E)),bind(X_3397,$fot(X_4440))]]) ).
cnf(refute_0_402,plain,
( ~ coll(X_4439,skolemFOFtoCNF_E,skolemFOFtoCNF_E)
| ~ cong(X_4439,skolemFOFtoCNF_E,X_4439,skolemFOFtoCNF_E)
| midp(X_4439,skolemFOFtoCNF_E,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(X_4439)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_403,plain,
( ~ cong(X_4437,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_4437)
| cong(X_4437,skolemFOFtoCNF_E,X_4437,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_4437)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_4437))]]) ).
cnf(refute_0_404,plain,
( ~ cong(skolemFOFtoCNF_E,X_4423,X_4423,skolemFOFtoCNF_E)
| cong(X_4423,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_4423) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(X_4423)),bind(C,$fot(X_4423)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_405,plain,
( ~ cong(skolemFOFtoCNF_E,X_4394,skolemFOFtoCNF_E,X_4394)
| cong(skolemFOFtoCNF_E,X_4394,X_4394,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(X_4394)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_4394))]]) ).
cnf(refute_0_406,plain,
( ~ midp(skolemFOFtoCNF_E,X_4369,X_4369)
| cong(skolemFOFtoCNF_E,X_4369,skolemFOFtoCNF_E,X_4369) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(X_4369)),bind(C,$fot(X_4369))]]) ).
cnf(refute_0_407,plain,
( ~ midp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D))
| midp(skolemFOFtoCNF_E,X_3396,X_3396) ),
inference(subst,[],[refute_0_69:[bind(X_3395,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D))),bind(X_3397,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_408,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D))
| ~ cong(skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D))
| midp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D)) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D))),bind(C,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_409,plain,
( ~ cong(skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E)
| cong(skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D)) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D))),bind(C,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D))),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_410,plain,
( ~ cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D))
| cong(skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D))),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_411,plain,
( ~ cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E)
| cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D)) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D))),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D))),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_412,plain,
( ~ midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E,skolemFOFtoCNF_E)
| cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D))),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_413,plain,
( ~ cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_D)
| eqangle(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_43:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_D)),bind(P,$fot(skolemFOFtoCNF_D)),bind(Q,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_414,plain,
( ~ cong(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_D)
| cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_D)),bind(O,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_415,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_D)
| cong(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_416,plain,
cong(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_D),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_D) )],[refute_0_264,refute_0_415]) ).
cnf(refute_0_417,plain,
cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_D),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_D) )],[refute_0_416,refute_0_414]) ).
cnf(refute_0_418,plain,
eqangle(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_D),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_D) )],[refute_0_417,refute_0_413]) ).
cnf(refute_0_419,plain,
( ~ eqangle(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_D)
| para(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_E)),bind(P,$fot(skolemFOFtoCNF_D)),bind(Q,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_420,plain,
para(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_E),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_D) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
( ~ midp(X_3397,skolemFOFtoCNF_D,skolemFOFtoCNF_D)
| ~ para(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_E)
| midp(X_3397,skolemFOFtoCNF_E,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_67:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E)),bind(M,$fot(X_3397))]]) ).
cnf(refute_0_422,plain,
( ~ midp(X_3397,skolemFOFtoCNF_D,skolemFOFtoCNF_D)
| midp(X_3397,skolemFOFtoCNF_E,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_E) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
( ~ midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_D)
| midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_422:[bind(X_3397,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_424,plain,
( ~ midp(M,B,D)
| ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| midp(skolemFOFtoCNF_P_7(A,C),A,C) ),
inference(canonicalize,[],[normalize_0_76]) ).
cnf(refute_0_425,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),X_4366,X_4366)
| ~ perp(X_4366,X_4366,X_4366,X_4366)
| midp(skolemFOFtoCNF_P_7(X_4366,X_4366),X_4366,X_4366) ),
inference(subst,[],[refute_0_424:[bind(A,$fot(X_4366)),bind(B,$fot(X_4366)),bind(C,$fot(X_4366)),bind(D,$fot(X_4366)),bind(M,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_426,plain,
( ~ perp(X_4366,X_4366,X_4366,X_4366)
| midp(skolemFOFtoCNF_P_7(X_4366,X_4366),X_4366,X_4366) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),X_4366,X_4366) )],[refute_0_352,refute_0_425]) ).
cnf(refute_0_427,plain,
( ~ circle(skolemFOFtoCNF_B_1,X_4350,X_4350,X_4350)
| perp(X_4350,X_4350,X_4350,X_4350) ),
inference(subst,[],[refute_0_334:[bind(A,$fot(X_4350)),bind(B,$fot(X_4350)),bind(C,$fot(X_4350)),bind(O,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_428,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_4341,skolemFOFtoCNF_B_1,X_4341)
| circle(skolemFOFtoCNF_B_1,X_4341,X_4341,X_4341) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(X_4341)),bind(B,$fot(X_4341)),bind(C,$fot(X_4341)),bind(O,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_429,plain,
circle(skolemFOFtoCNF_B_1,X_4341,X_4341,X_4341),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_4341,skolemFOFtoCNF_B_1,X_4341) )],[refute_0_383,refute_0_428]) ).
cnf(refute_0_430,plain,
circle(skolemFOFtoCNF_B_1,X_4350,X_4350,X_4350),
inference(subst,[],[refute_0_429:[bind(X_4341,$fot(X_4350))]]) ).
cnf(refute_0_431,plain,
perp(X_4350,X_4350,X_4350,X_4350),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_B_1,X_4350,X_4350,X_4350) )],[refute_0_430,refute_0_427]) ).
cnf(refute_0_432,plain,
perp(X_4366,X_4366,X_4366,X_4366),
inference(subst,[],[refute_0_431:[bind(X_4350,$fot(X_4366))]]) ).
cnf(refute_0_433,plain,
midp(skolemFOFtoCNF_P_7(X_4366,X_4366),X_4366,X_4366),
inference(resolve,[$cnf( perp(X_4366,X_4366,X_4366,X_4366) )],[refute_0_432,refute_0_426]) ).
cnf(refute_0_434,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_433:[bind(X_4366,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_435,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E,skolemFOFtoCNF_E),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_D) )],[refute_0_434,refute_0_423]) ).
cnf(refute_0_436,plain,
cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E,skolemFOFtoCNF_E) )],[refute_0_435,refute_0_412]) ).
cnf(refute_0_437,plain,
cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E) )],[refute_0_436,refute_0_411]) ).
cnf(refute_0_438,plain,
cong(skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D)) )],[refute_0_437,refute_0_410]) ).
cnf(refute_0_439,plain,
cong(skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E) )],[refute_0_438,refute_0_409]) ).
cnf(refute_0_440,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D))
| midp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D)) )],[refute_0_439,refute_0_408]) ).
cnf(refute_0_441,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D)),
inference(subst,[],[refute_0_332:[bind(C,$fot(skolemFOFtoCNF_E)),bind(X_1730,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D))),bind(X_1731,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_442,plain,
midp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D)) )],[refute_0_441,refute_0_440]) ).
cnf(refute_0_443,plain,
midp(skolemFOFtoCNF_E,X_3396,X_3396),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_E,skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_P_7(skolemFOFtoCNF_D,skolemFOFtoCNF_D)) )],[refute_0_442,refute_0_407]) ).
cnf(refute_0_444,plain,
midp(skolemFOFtoCNF_E,X_4369,X_4369),
inference(subst,[],[refute_0_443:[bind(X_3396,$fot(X_4369))]]) ).
cnf(refute_0_445,plain,
cong(skolemFOFtoCNF_E,X_4369,skolemFOFtoCNF_E,X_4369),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_E,X_4369,X_4369) )],[refute_0_444,refute_0_406]) ).
cnf(refute_0_446,plain,
cong(skolemFOFtoCNF_E,X_4394,skolemFOFtoCNF_E,X_4394),
inference(subst,[],[refute_0_445:[bind(X_4369,$fot(X_4394))]]) ).
cnf(refute_0_447,plain,
cong(skolemFOFtoCNF_E,X_4394,X_4394,skolemFOFtoCNF_E),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_E,X_4394,skolemFOFtoCNF_E,X_4394) )],[refute_0_446,refute_0_405]) ).
cnf(refute_0_448,plain,
cong(skolemFOFtoCNF_E,X_4423,X_4423,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_447:[bind(X_4394,$fot(X_4423))]]) ).
cnf(refute_0_449,plain,
cong(X_4423,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_4423),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_E,X_4423,X_4423,skolemFOFtoCNF_E) )],[refute_0_448,refute_0_404]) ).
cnf(refute_0_450,plain,
cong(X_4437,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_4437),
inference(subst,[],[refute_0_449:[bind(X_4423,$fot(X_4437))]]) ).
cnf(refute_0_451,plain,
cong(X_4437,skolemFOFtoCNF_E,X_4437,skolemFOFtoCNF_E),
inference(resolve,[$cnf( cong(X_4437,skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_4437) )],[refute_0_450,refute_0_403]) ).
cnf(refute_0_452,plain,
cong(X_4439,skolemFOFtoCNF_E,X_4439,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_451:[bind(X_4437,$fot(X_4439))]]) ).
cnf(refute_0_453,plain,
( ~ coll(X_4439,skolemFOFtoCNF_E,skolemFOFtoCNF_E)
| midp(X_4439,skolemFOFtoCNF_E,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( cong(X_4439,skolemFOFtoCNF_E,X_4439,skolemFOFtoCNF_E) )],[refute_0_452,refute_0_402]) ).
cnf(refute_0_454,plain,
coll(X_4439,skolemFOFtoCNF_E,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_332:[bind(C,$fot(X_4439)),bind(X_1730,$fot(skolemFOFtoCNF_E)),bind(X_1731,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_455,plain,
midp(X_4439,skolemFOFtoCNF_E,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(X_4439,skolemFOFtoCNF_E,skolemFOFtoCNF_E) )],[refute_0_454,refute_0_453]) ).
cnf(refute_0_456,plain,
midp(X_4440,skolemFOFtoCNF_E,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_455:[bind(X_4439,$fot(X_4440))]]) ).
cnf(refute_0_457,plain,
midp(X_4440,X_3396,X_3396),
inference(resolve,[$cnf( midp(X_4440,skolemFOFtoCNF_E,skolemFOFtoCNF_E) )],[refute_0_456,refute_0_401]) ).
cnf(refute_0_458,plain,
midp(M,X_10094,X_10094),
inference(subst,[],[refute_0_457:[bind(X_3396,$fot(X_10094)),bind(X_4440,$fot(M))]]) ).
cnf(refute_0_459,plain,
cong(X_10094,M,X_10093,M),
inference(resolve,[$cnf( midp(M,X_10094,X_10094) )],[refute_0_458,refute_0_400]) ).
cnf(refute_0_460,plain,
cong(X_10113,X_10111,X_10112,X_10111),
inference(subst,[],[refute_0_459:[bind(M,$fot(X_10111)),bind(X_10093,$fot(X_10112)),bind(X_10094,$fot(X_10113))]]) ).
cnf(refute_0_461,plain,
cong(X_10113,X_10111,X_10111,X_10112),
inference(resolve,[$cnf( cong(X_10113,X_10111,X_10112,X_10111) )],[refute_0_460,refute_0_5]) ).
cnf(refute_0_462,plain,
cong(X_10116,X_10114,X_10114,X_10115),
inference(subst,[],[refute_0_461:[bind(X_10111,$fot(X_10114)),bind(X_10112,$fot(X_10115)),bind(X_10113,$fot(X_10116))]]) ).
cnf(refute_0_463,plain,
cong(X_10114,X_10115,X_10116,X_10114),
inference(resolve,[$cnf( cong(X_10116,X_10114,X_10114,X_10115) )],[refute_0_462,refute_0_4]) ).
cnf(refute_0_464,plain,
cong(X_10139,X_10140,X_10141,X_10139),
inference(subst,[],[refute_0_463:[bind(X_10114,$fot(X_10139)),bind(X_10115,$fot(X_10140)),bind(X_10116,$fot(X_10141))]]) ).
cnf(refute_0_465,plain,
cong(X_10139,X_10140,X_10139,X_10141),
inference(resolve,[$cnf( cong(X_10139,X_10140,X_10141,X_10139) )],[refute_0_464,refute_0_2]) ).
cnf(refute_0_466,plain,
cong(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_465:[bind(X_10139,$fot(skolemFOFtoCNF_D)),bind(X_10140,$fot(skolemFOFtoCNF_G)),bind(X_10141,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_467,plain,
$false,
inference(resolve,[$cnf( cong(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_H) )],[refute_0_466,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO619+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 18:23:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 73.11/73.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 73.11/73.28
% 73.11/73.28 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 73.13/73.32
%------------------------------------------------------------------------------