TSTP Solution File: GEO588+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO588+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 05:27:30 EDT 2022
% Result : Theorem 68.99s 69.20s
% Output : CNFRefutation 69.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 110
% Number of leaves : 31
% Syntax : Number of formulae : 567 ( 254 unt; 0 def)
% Number of atoms : 1062 ( 0 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 893 ( 398 ~; 393 |; 69 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-6 aty)
% Number of variables : 1155 ( 240 sgn 459 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ) ).
fof(ruleD7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ) ).
fof(ruleD8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C) )
=> circle(O,A,B,C) ) ).
fof(ruleD13,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C)
& cong(O,A,O,D) )
=> cyclic(A,B,C,D) ) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ) ).
fof(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ) ).
fof(ruleD44,axiom,
! [A,B,C,E,F] :
( ( midp(E,A,B)
& midp(F,A,C) )
=> para(E,F,B,C) ) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ) ).
fof(ruleD53,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ) ).
fof(ruleX6,axiom,
! [A,B,C,D,M,N] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D) )
=> ( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(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(exemplo6GDDFULL416050,conjecture,
! [A,C,M,B,O,D,P,R,J,NWPNT1] :
( ( coll(M,A,C)
& perp(A,C,M,B)
& circle(O,A,C,B)
& circle(O,B,D,NWPNT1)
& coll(D,B,M)
& midp(P,B,A)
& midp(R,D,C)
& coll(J,M,O)
& coll(J,P,R) )
=> para(P,O,M,R) ) ).
fof(subgoal_0,plain,
! [A,C,M,B,O,D,P,R,J,NWPNT1] :
( ( coll(M,A,C)
& perp(A,C,M,B)
& circle(O,A,C,B)
& circle(O,B,D,NWPNT1)
& coll(D,B,M)
& midp(P,B,A)
& midp(R,D,C)
& coll(J,M,O)
& coll(J,P,R) )
=> para(P,O,M,R) ),
inference(strip,[],[exemplo6GDDFULL416050]) ).
fof(negate_0_0,plain,
~ ! [A,C,M,B,O,D,P,R,J,NWPNT1] :
( ( coll(M,A,C)
& perp(A,C,M,B)
& circle(O,A,C,B)
& circle(O,B,D,NWPNT1)
& coll(D,B,M)
& midp(P,B,A)
& midp(R,D,C)
& coll(J,M,O)
& coll(J,P,R) )
=> para(P,O,M,R) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,J,M,O,P,R] :
( ~ para(P,O,M,R)
& circle(O,A,C,B)
& coll(D,B,M)
& coll(J,M,O)
& coll(J,P,R)
& coll(M,A,C)
& midp(P,B,A)
& midp(R,D,C)
& perp(A,C,M,B)
& ? [NWPNT1] : circle(O,B,D,NWPNT1) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ para(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3,skolemFOFtoCNF_R_1)
& circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3)
& coll(skolemFOFtoCNF_J,skolemFOFtoCNF_M_3,skolemFOFtoCNF_O_2)
& coll(skolemFOFtoCNF_J,skolemFOFtoCNF_P_8,skolemFOFtoCNF_R_1)
& coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
& midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1)
& ? [NWPNT1] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,NWPNT1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ para(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3,skolemFOFtoCNF_R_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C,E,F] :
( ~ midp(E,A,B)
| ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(canonicalize,[],[ruleD44]) ).
fof(normalize_0_4,plain,
! [A,B,C,E,F] :
( ~ midp(E,A,B)
| ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_6,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_8,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_10,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[ruleD52]) ).
fof(normalize_0_12,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[ruleD57]) ).
fof(normalize_0_14,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[ruleD17]) ).
fof(normalize_0_16,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_18,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_20,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_22,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A,B,C,D,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[ruleD13]) ).
fof(normalize_0_24,plain,
! [A,B,C,D,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_26,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(canonicalize,[],[ruleX7]) ).
fof(normalize_0_28,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [A,B,C,D,M,N,Q] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(clausify,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_31,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_33,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_35,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD39]) ).
fof(normalize_0_37,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [A,B,C,D,P,Q] :
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(clausify,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[ruleD41]) ).
fof(normalize_0_40,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_42,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_43,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_42]) ).
fof(normalize_0_44,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_43]) ).
fof(normalize_0_45,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_46,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_45]) ).
fof(normalize_0_47,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_48,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_47]) ).
fof(normalize_0_49,plain,
midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_50,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_51,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_50]) ).
fof(normalize_0_52,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_53,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_52]) ).
fof(normalize_0_54,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_55,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_54]) ).
fof(normalize_0_56,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| ? [P] :
( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ),
inference(canonicalize,[],[ruleX6]) ).
fof(normalize_0_57,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| ? [P] :
( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ),
inference(specialize,[],[normalize_0_56]) ).
fof(normalize_0_58,plain,
! [A,B,C,D,M,N] :
( ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) )
& ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| para(skolemFOFtoCNF_P(A,B,C,D,M,N),M,B,D) )
& ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| para(skolemFOFtoCNF_P(A,B,C,D,M,N),N,A,C) ) ),
inference(clausify,[],[normalize_0_57]) ).
fof(normalize_0_59,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(conjunct,[],[normalize_0_58]) ).
fof(normalize_0_60,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_61,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_60]) ).
fof(normalize_0_62,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[ruleD53]) ).
fof(normalize_0_63,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_62]) ).
fof(normalize_0_64,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_65,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_64]) ).
fof(normalize_0_66,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_67,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_66]) ).
fof(normalize_0_68,plain,
coll(skolemFOFtoCNF_J,skolemFOFtoCNF_P_8,skolemFOFtoCNF_R_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_69,plain,
coll(skolemFOFtoCNF_J,skolemFOFtoCNF_M_3,skolemFOFtoCNF_O_2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_70,plain,
coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_71,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_72,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_73,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_72]) ).
fof(normalize_0_74,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_73]) ).
cnf(refute_0_0,plain,
~ para(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3,skolemFOFtoCNF_R_1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ midp(E,A,B)
| ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ coll(X_4292,X_4293,X_4294)
| ~ cong(X_4292,X_4293,X_4292,X_4294)
| midp(X_4292,X_4293,X_4294) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_4292)),bind(B,$fot(X_4293)),bind(C,$fot(X_4294))]]) ).
cnf(refute_0_4,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ cong(X_4287,X_4288,X_4289,X_4287)
| cong(X_4287,X_4288,X_4287,X_4289) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_4287)),bind(B,$fot(X_4288)),bind(C,$fot(X_4289)),bind(D,$fot(X_4287))]]) ).
cnf(refute_0_6,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ cong(X_4270,X_4268,X_4268,X_4269)
| cong(X_4268,X_4269,X_4270,X_4268) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_4270)),bind(B,$fot(X_4268)),bind(C,$fot(X_4268)),bind(D,$fot(X_4269))]]) ).
cnf(refute_0_8,plain,
( ~ cong(X_4261,X_4259,X_4260,X_4259)
| cong(X_4261,X_4259,X_4259,X_4260) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_4261)),bind(B,$fot(X_4259)),bind(C,$fot(X_4260)),bind(D,$fot(X_4259))]]) ).
cnf(refute_0_9,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ midp(M,X_4242,X_4242)
| ~ perp(X_4242,X_4241,X_4241,X_4242)
| cong(X_4242,M,X_4241,M) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_4242)),bind(B,$fot(X_4241)),bind(C,$fot(X_4242))]]) ).
cnf(refute_0_11,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_12,plain,
( ~ cong(X_4239,X_4240,X_4239,X_4240)
| ~ cyclic(X_4239,X_4239,X_4240,X_4240)
| perp(X_4240,X_4239,X_4239,X_4240) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_4239)),bind(B,$fot(X_4239)),bind(P,$fot(X_4240)),bind(Q,$fot(X_4240))]]) ).
cnf(refute_0_13,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_14,plain,
( ~ cyclic(X_4237,X_4237,X_4237,X_4238)
| cyclic(X_4237,X_4237,X_4238,X_4238) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_4237)),bind(B,$fot(X_4237)),bind(C,$fot(X_4237)),bind(D,$fot(X_4238)),bind(E,$fot(X_4238))]]) ).
cnf(refute_0_15,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_16,plain,
( ~ cyclic(X_4235,X_4235,X_4236,X_4235)
| cyclic(X_4235,X_4235,X_4235,X_4236) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_4235)),bind(B,$fot(X_4235)),bind(C,$fot(X_4236)),bind(D,$fot(X_4235))]]) ).
cnf(refute_0_17,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_18,plain,
( ~ cyclic(X_4233,X_4234,X_4233,X_4233)
| cyclic(X_4233,X_4233,X_4234,X_4233) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_4233)),bind(B,$fot(X_4234)),bind(C,$fot(X_4233)),bind(D,$fot(X_4233))]]) ).
cnf(refute_0_19,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_20,plain,
( ~ cyclic(X_4232,X_4231,X_4231,X_4231)
| cyclic(X_4231,X_4232,X_4231,X_4231) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_4232)),bind(B,$fot(X_4231)),bind(C,$fot(X_4231)),bind(D,$fot(X_4231))]]) ).
cnf(refute_0_21,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_22,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_4230,X_4229),X_4230,skolemFOFtoCNF_P_1(X_4230,X_4229),X_4229)
| cyclic(X_4230,X_4229,X_4229,X_4229) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_4230)),bind(B,$fot(X_4229)),bind(C,$fot(X_4229)),bind(D,$fot(X_4229)),bind(O,$fot(skolemFOFtoCNF_P_1(X_4230,X_4229)))]]) ).
cnf(refute_0_23,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_24,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_2832,X_2831),X_2832,X_2831)
| cong(skolemFOFtoCNF_P_1(X_2832,X_2831),X_2832,skolemFOFtoCNF_P_1(X_2832,X_2831),X_2831) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P_1(X_2832,X_2831))),bind(B,$fot(X_2832)),bind(C,$fot(X_2831))]]) ).
cnf(refute_0_25,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_26,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_27,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_28,plain,
( ~ coll(X_466,X_465,X_466)
| coll(X_466,X_466,X_465) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_466)),bind(B,$fot(X_465)),bind(C,$fot(X_466))]]) ).
cnf(refute_0_29,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_30,plain,
( ~ coll(X_463,X_464,X_464)
| coll(X_464,X_463,X_464) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_463)),bind(B,$fot(X_464)),bind(C,$fot(X_464))]]) ).
cnf(refute_0_31,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_32,plain,
( ~ para(X_461,X_462,X_461,X_462)
| coll(X_461,X_462,X_462) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_461)),bind(B,$fot(X_462)),bind(C,$fot(X_462))]]) ).
cnf(refute_0_33,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_34,plain,
( ~ eqangle(X_459,X_460,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_459,X_460,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_459,X_460,X_459,X_460) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_459)),bind(B,$fot(X_460)),bind(C,$fot(X_459)),bind(D,$fot(X_460)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_35,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_36,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_35:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_37,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_38,plain,
( ~ cong(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_39,plain,
midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_40,plain,
( ~ midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_41,plain,
cong(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) )],[refute_0_41,refute_0_38]) ).
cnf(refute_0_43,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_37]) ).
cnf(refute_0_44,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_43,refute_0_36]) ).
cnf(refute_0_45,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_46,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_48,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_47:[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_49,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_46,refute_0_48]) ).
cnf(refute_0_50,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_457,X_458,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_457,X_458),
inference(subst,[],[refute_0_49:[bind(X_153,$fot(X_457)),bind(X_154,$fot(X_458))]]) ).
cnf(refute_0_51,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_52,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_457,X_458,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_457,X_458)
| eqangle(X_457,X_458,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_457,X_458,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_51:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_457)),bind(D,$fot(X_458)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_457)),bind(V,$fot(X_458))]]) ).
cnf(refute_0_53,plain,
eqangle(X_457,X_458,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_457,X_458,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_457,X_458,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_457,X_458) )],[refute_0_50,refute_0_52]) ).
cnf(refute_0_54,plain,
eqangle(X_459,X_460,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_459,X_460,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_53:[bind(X_457,$fot(X_459)),bind(X_458,$fot(X_460))]]) ).
cnf(refute_0_55,plain,
para(X_459,X_460,X_459,X_460),
inference(resolve,[$cnf( eqangle(X_459,X_460,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_459,X_460,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_54,refute_0_34]) ).
cnf(refute_0_56,plain,
para(X_461,X_462,X_461,X_462),
inference(subst,[],[refute_0_55:[bind(X_459,$fot(X_461)),bind(X_460,$fot(X_462))]]) ).
cnf(refute_0_57,plain,
coll(X_461,X_462,X_462),
inference(resolve,[$cnf( para(X_461,X_462,X_461,X_462) )],[refute_0_56,refute_0_32]) ).
cnf(refute_0_58,plain,
coll(X_463,X_464,X_464),
inference(subst,[],[refute_0_57:[bind(X_461,$fot(X_463)),bind(X_462,$fot(X_464))]]) ).
cnf(refute_0_59,plain,
coll(X_464,X_463,X_464),
inference(resolve,[$cnf( coll(X_463,X_464,X_464) )],[refute_0_58,refute_0_30]) ).
cnf(refute_0_60,plain,
coll(X_466,X_465,X_466),
inference(subst,[],[refute_0_59:[bind(X_463,$fot(X_465)),bind(X_464,$fot(X_466))]]) ).
cnf(refute_0_61,plain,
coll(X_466,X_466,X_465),
inference(resolve,[$cnf( coll(X_466,X_465,X_466) )],[refute_0_60,refute_0_28]) ).
cnf(refute_0_62,plain,
coll(D,D,D),
inference(subst,[],[refute_0_61:[bind(X_465,$fot(D)),bind(X_466,$fot(D))]]) ).
cnf(refute_0_63,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_62,refute_0_26]) ).
cnf(refute_0_64,plain,
( ~ midp(skolemFOFtoCNF_D,X_2703,X_2703)
| midp(skolemFOFtoCNF_P_1(X_2703,Q),X_2703,Q) ),
inference(subst,[],[refute_0_63:[bind(D,$fot(X_2703)),bind(N,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_65,plain,
para(X_2658,X_2659,X_2658,X_2659),
inference(subst,[],[refute_0_55:[bind(X_459,$fot(X_2658)),bind(X_460,$fot(X_2659))]]) ).
cnf(refute_0_66,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_67,plain,
( ~ midp(X_2660,X_2658,X_2658)
| ~ para(X_2658,X_2659,X_2658,X_2659)
| midp(X_2660,X_2659,X_2659) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(X_2658)),bind(B,$fot(X_2658)),bind(C,$fot(X_2659)),bind(D,$fot(X_2659)),bind(M,$fot(X_2660))]]) ).
cnf(refute_0_68,plain,
( ~ midp(X_2660,X_2658,X_2658)
| midp(X_2660,X_2659,X_2659) ),
inference(resolve,[$cnf( para(X_2658,X_2659,X_2658,X_2659) )],[refute_0_65,refute_0_67]) ).
cnf(refute_0_69,plain,
( ~ midp(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)
| midp(skolemFOFtoCNF_D,X_2659,X_2659) ),
inference(subst,[],[refute_0_68:[bind(X_2658,$fot(skolemFOFtoCNF_R_1)),bind(X_2660,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_70,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)
| ~ cong(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1)
| midp(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_R_1)),bind(C,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_71,plain,
midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_72,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_73,plain,
( ~ perp(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| perp(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_74,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_75,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_D)
| perp(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_76,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_77,plain,
( ~ cong(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_D)
| circle(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_D)),bind(O,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)))))]]) ).
cnf(refute_0_78,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| cong(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))))),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_79,plain,
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_80,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_D)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)))),bind(N,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))))]]) ).
cnf(refute_0_81,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_D)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),bind(N,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)))]]) ).
cnf(refute_0_82,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_83,plain,
( ~ midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_82:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(M,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_84,plain,
midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_71,refute_0_83]) ).
cnf(refute_0_85,plain,
( ~ midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_D)),bind(M,$fot(skolemFOFtoCNF_R_1)),bind(N,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_86,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_86,refute_0_81]) ).
cnf(refute_0_88,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_87,refute_0_80]) ).
cnf(refute_0_89,plain,
cong(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_D),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_88,refute_0_78]) ).
cnf(refute_0_90,plain,
circle(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_D) )],[refute_0_89,refute_0_77]) ).
cnf(refute_0_91,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_92,plain,
( ~ circle(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D)
| ~ coll(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_91:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_D)),bind(O,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)))))]]) ).
cnf(refute_0_93,plain,
( ~ coll(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D) )],[refute_0_90,refute_0_92]) ).
cnf(refute_0_94,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_95,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))))),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_96,plain,
coll(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_88,refute_0_95]) ).
cnf(refute_0_97,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_96,refute_0_93]) ).
cnf(refute_0_98,plain,
perp(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_D) )],[refute_0_97,refute_0_75]) ).
cnf(refute_0_99,plain,
perp(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_98,refute_0_73]) ).
cnf(refute_0_100,plain,
( ~ midp(X_2698,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| ~ perp(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_D,X_2698,skolemFOFtoCNF_D,X_2698) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(X_2698))]]) ).
cnf(refute_0_101,plain,
( ~ midp(X_2698,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_D,X_2698,skolemFOFtoCNF_D,X_2698) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
( ~ midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1) ),
inference(subst,[],[refute_0_101:[bind(X_2698,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_103,plain,
cong(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_71,refute_0_102]) ).
cnf(refute_0_104,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)
| midp(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_R_1) )],[refute_0_103,refute_0_70]) ).
cnf(refute_0_105,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_106,plain,
( ~ coll(X_2649,skolemFOFtoCNF_J,C)
| ~ coll(X_2649,skolemFOFtoCNF_J,X_2650)
| coll(C,X_2650,X_2649) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2649)),bind(B,$fot(skolemFOFtoCNF_J)),bind(D,$fot(X_2650))]]) ).
cnf(refute_0_107,plain,
( ~ coll(X_2517,skolemFOFtoCNF_R_1,C)
| ~ coll(X_2517,skolemFOFtoCNF_R_1,skolemFOFtoCNF_J)
| coll(C,skolemFOFtoCNF_J,X_2517) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2517)),bind(B,$fot(skolemFOFtoCNF_R_1)),bind(D,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_108,plain,
( ~ coll(skolemFOFtoCNF_R_1,X_2516,skolemFOFtoCNF_J)
| coll(X_2516,skolemFOFtoCNF_R_1,skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_R_1)),bind(B,$fot(X_2516)),bind(C,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_109,plain,
( ~ coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1,skolemFOFtoCNF_J)
| coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,skolemFOFtoCNF_R_1) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_R_1)),bind(B,$fot(skolemFOFtoCNF_R_1)),bind(C,$fot(skolemFOFtoCNF_J)),bind(D,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_110,plain,
coll(skolemFOFtoCNF_J,skolemFOFtoCNF_P_8,skolemFOFtoCNF_R_1),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_111,plain,
( ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_P_8,skolemFOFtoCNF_R_1)
| coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1,skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_J)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_R_1)),bind(D,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_112,plain,
coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1,skolemFOFtoCNF_J),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,skolemFOFtoCNF_P_8,skolemFOFtoCNF_R_1) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,skolemFOFtoCNF_R_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1,skolemFOFtoCNF_J) )],[refute_0_112,refute_0_109]) ).
cnf(refute_0_114,plain,
( ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,X_2491)
| ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,skolemFOFtoCNF_R_1)
| coll(skolemFOFtoCNF_R_1,X_2491,skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_J)),bind(B,$fot(skolemFOFtoCNF_J)),bind(C,$fot(skolemFOFtoCNF_R_1)),bind(D,$fot(X_2491))]]) ).
cnf(refute_0_115,plain,
( ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,X_2491)
| coll(skolemFOFtoCNF_R_1,X_2491,skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,skolemFOFtoCNF_R_1) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,X_2491),
inference(subst,[],[refute_0_61:[bind(X_465,$fot(X_2491)),bind(X_466,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_117,plain,
coll(skolemFOFtoCNF_R_1,X_2491,skolemFOFtoCNF_J),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,X_2491) )],[refute_0_116,refute_0_115]) ).
cnf(refute_0_118,plain,
coll(skolemFOFtoCNF_R_1,X_2516,skolemFOFtoCNF_J),
inference(subst,[],[refute_0_117:[bind(X_2491,$fot(X_2516))]]) ).
cnf(refute_0_119,plain,
coll(X_2516,skolemFOFtoCNF_R_1,skolemFOFtoCNF_J),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_R_1,X_2516,skolemFOFtoCNF_J) )],[refute_0_118,refute_0_108]) ).
cnf(refute_0_120,plain,
coll(X_2517,skolemFOFtoCNF_R_1,skolemFOFtoCNF_J),
inference(subst,[],[refute_0_119:[bind(X_2516,$fot(X_2517))]]) ).
cnf(refute_0_121,plain,
( ~ coll(X_2517,skolemFOFtoCNF_R_1,C)
| coll(C,skolemFOFtoCNF_J,X_2517) ),
inference(resolve,[$cnf( coll(X_2517,skolemFOFtoCNF_R_1,skolemFOFtoCNF_J) )],[refute_0_120,refute_0_107]) ).
cnf(refute_0_122,plain,
coll(X_2489,X_2489,X_2490),
inference(subst,[],[refute_0_61:[bind(X_465,$fot(X_2490)),bind(X_466,$fot(X_2489))]]) ).
cnf(refute_0_123,plain,
( ~ coll(X_2489,X_2489,X_2490)
| ~ coll(X_2489,X_2489,X_2491)
| coll(X_2490,X_2491,X_2489) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2489)),bind(B,$fot(X_2489)),bind(C,$fot(X_2490)),bind(D,$fot(X_2491))]]) ).
cnf(refute_0_124,plain,
( ~ coll(X_2489,X_2489,X_2491)
| coll(X_2490,X_2491,X_2489) ),
inference(resolve,[$cnf( coll(X_2489,X_2489,X_2490) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
coll(X_2489,X_2489,X_2491),
inference(subst,[],[refute_0_61:[bind(X_465,$fot(X_2491)),bind(X_466,$fot(X_2489))]]) ).
cnf(refute_0_126,plain,
coll(X_2490,X_2491,X_2489),
inference(resolve,[$cnf( coll(X_2489,X_2489,X_2491) )],[refute_0_125,refute_0_124]) ).
cnf(refute_0_127,plain,
coll(X_2517,skolemFOFtoCNF_R_1,C),
inference(subst,[],[refute_0_126:[bind(X_2489,$fot(C)),bind(X_2490,$fot(X_2517)),bind(X_2491,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_128,plain,
coll(C,skolemFOFtoCNF_J,X_2517),
inference(resolve,[$cnf( coll(X_2517,skolemFOFtoCNF_R_1,C) )],[refute_0_127,refute_0_121]) ).
cnf(refute_0_129,plain,
coll(X_2649,skolemFOFtoCNF_J,X_2650),
inference(subst,[],[refute_0_128:[bind(C,$fot(X_2649)),bind(X_2517,$fot(X_2650))]]) ).
cnf(refute_0_130,plain,
( ~ coll(X_2649,skolemFOFtoCNF_J,C)
| coll(C,X_2650,X_2649) ),
inference(resolve,[$cnf( coll(X_2649,skolemFOFtoCNF_J,X_2650) )],[refute_0_129,refute_0_106]) ).
cnf(refute_0_131,plain,
( ~ coll(X_2647,skolemFOFtoCNF_M_3,C)
| ~ coll(X_2647,skolemFOFtoCNF_M_3,X_2648)
| coll(C,X_2648,X_2647) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2647)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(X_2648))]]) ).
cnf(refute_0_132,plain,
( ~ coll(X_2525,skolemFOFtoCNF_J,C)
| ~ coll(X_2525,skolemFOFtoCNF_J,skolemFOFtoCNF_M_3)
| coll(C,skolemFOFtoCNF_M_3,X_2525) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2525)),bind(B,$fot(skolemFOFtoCNF_J)),bind(D,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_133,plain,
( ~ coll(skolemFOFtoCNF_M_3,X_2497,C)
| ~ coll(skolemFOFtoCNF_M_3,X_2497,skolemFOFtoCNF_J)
| coll(C,skolemFOFtoCNF_J,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(X_2497)),bind(D,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_134,plain,
( ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_J)
| coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_J)),bind(D,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_135,plain,
coll(skolemFOFtoCNF_J,skolemFOFtoCNF_M_3,skolemFOFtoCNF_O_2),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_136,plain,
( ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_M_3,skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_J,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_J)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_137,plain,
coll(skolemFOFtoCNF_J,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,skolemFOFtoCNF_M_3,skolemFOFtoCNF_O_2) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
( ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3)
| coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_J)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_139,plain,
coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_J),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_J) )],[refute_0_139,refute_0_134]) ).
cnf(refute_0_141,plain,
( ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,X_2491)
| ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,skolemFOFtoCNF_M_3)
| coll(skolemFOFtoCNF_M_3,X_2491,skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_J)),bind(B,$fot(skolemFOFtoCNF_J)),bind(C,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(X_2491))]]) ).
cnf(refute_0_142,plain,
( ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,X_2491)
| coll(skolemFOFtoCNF_M_3,X_2491,skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,skolemFOFtoCNF_M_3) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
coll(skolemFOFtoCNF_M_3,X_2491,skolemFOFtoCNF_J),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,X_2491) )],[refute_0_116,refute_0_142]) ).
cnf(refute_0_144,plain,
coll(skolemFOFtoCNF_M_3,X_2497,skolemFOFtoCNF_J),
inference(subst,[],[refute_0_143:[bind(X_2491,$fot(X_2497))]]) ).
cnf(refute_0_145,plain,
( ~ coll(skolemFOFtoCNF_M_3,X_2497,C)
| coll(C,skolemFOFtoCNF_J,skolemFOFtoCNF_M_3) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,X_2497,skolemFOFtoCNF_J) )],[refute_0_144,refute_0_133]) ).
cnf(refute_0_146,plain,
coll(skolemFOFtoCNF_M_3,X_2497,C),
inference(subst,[],[refute_0_126:[bind(X_2489,$fot(C)),bind(X_2490,$fot(skolemFOFtoCNF_M_3)),bind(X_2491,$fot(X_2497))]]) ).
cnf(refute_0_147,plain,
coll(C,skolemFOFtoCNF_J,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,X_2497,C) )],[refute_0_146,refute_0_145]) ).
cnf(refute_0_148,plain,
coll(X_2525,skolemFOFtoCNF_J,skolemFOFtoCNF_M_3),
inference(subst,[],[refute_0_147:[bind(C,$fot(X_2525))]]) ).
cnf(refute_0_149,plain,
( ~ coll(X_2525,skolemFOFtoCNF_J,C)
| coll(C,skolemFOFtoCNF_M_3,X_2525) ),
inference(resolve,[$cnf( coll(X_2525,skolemFOFtoCNF_J,skolemFOFtoCNF_M_3) )],[refute_0_148,refute_0_132]) ).
cnf(refute_0_150,plain,
coll(X_2525,skolemFOFtoCNF_J,C),
inference(subst,[],[refute_0_126:[bind(X_2489,$fot(C)),bind(X_2490,$fot(X_2525)),bind(X_2491,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_151,plain,
coll(C,skolemFOFtoCNF_M_3,X_2525),
inference(resolve,[$cnf( coll(X_2525,skolemFOFtoCNF_J,C) )],[refute_0_150,refute_0_149]) ).
cnf(refute_0_152,plain,
coll(X_2647,skolemFOFtoCNF_M_3,X_2648),
inference(subst,[],[refute_0_151:[bind(C,$fot(X_2647)),bind(X_2525,$fot(X_2648))]]) ).
cnf(refute_0_153,plain,
( ~ coll(X_2647,skolemFOFtoCNF_M_3,C)
| coll(C,X_2648,X_2647) ),
inference(resolve,[$cnf( coll(X_2647,skolemFOFtoCNF_M_3,X_2648) )],[refute_0_152,refute_0_131]) ).
cnf(refute_0_154,plain,
( ~ coll(X_2645,skolemFOFtoCNF_C_1,C)
| ~ coll(X_2645,skolemFOFtoCNF_C_1,X_2646)
| coll(C,X_2646,X_2645) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2645)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_2646))]]) ).
cnf(refute_0_155,plain,
( ~ coll(X_2595,X_2596,skolemFOFtoCNF_C_1)
| coll(X_2595,skolemFOFtoCNF_C_1,X_2596) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_2595)),bind(B,$fot(X_2596)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_156,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,C)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,X_2536)
| coll(C,X_2536,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_2536))]]) ).
cnf(refute_0_157,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_2534,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,X_2534) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_2534)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_158,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_159,plain,
coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_160,plain,
( ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_161,plain,
coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
( ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_163,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_A) )],[refute_0_163,refute_0_158]) ).
cnf(refute_0_165,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2491)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_2491,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_2491))]]) ).
cnf(refute_0_166,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2491)
| coll(skolemFOFtoCNF_C_1,X_2491,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2491),
inference(subst,[],[refute_0_61:[bind(X_465,$fot(X_2491)),bind(X_466,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_168,plain,
coll(skolemFOFtoCNF_C_1,X_2491,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2491) )],[refute_0_167,refute_0_166]) ).
cnf(refute_0_169,plain,
coll(skolemFOFtoCNF_C_1,X_2534,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_168:[bind(X_2491,$fot(X_2534))]]) ).
cnf(refute_0_170,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,X_2534),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_2534,skolemFOFtoCNF_A) )],[refute_0_169,refute_0_157]) ).
cnf(refute_0_171,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,X_2536),
inference(subst,[],[refute_0_170:[bind(X_2534,$fot(X_2536))]]) ).
cnf(refute_0_172,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,C)
| coll(C,X_2536,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,X_2536) )],[refute_0_171,refute_0_156]) ).
cnf(refute_0_173,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_126:[bind(X_2489,$fot(C)),bind(X_2490,$fot(skolemFOFtoCNF_C_1)),bind(X_2491,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_174,plain,
coll(C,X_2536,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,C) )],[refute_0_173,refute_0_172]) ).
cnf(refute_0_175,plain,
coll(X_2595,X_2596,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_174:[bind(C,$fot(X_2595)),bind(X_2536,$fot(X_2596))]]) ).
cnf(refute_0_176,plain,
coll(X_2595,skolemFOFtoCNF_C_1,X_2596),
inference(resolve,[$cnf( coll(X_2595,X_2596,skolemFOFtoCNF_C_1) )],[refute_0_175,refute_0_155]) ).
cnf(refute_0_177,plain,
coll(X_2645,skolemFOFtoCNF_C_1,X_2646),
inference(subst,[],[refute_0_176:[bind(X_2595,$fot(X_2645)),bind(X_2596,$fot(X_2646))]]) ).
cnf(refute_0_178,plain,
( ~ coll(X_2645,skolemFOFtoCNF_C_1,C)
| coll(C,X_2646,X_2645) ),
inference(resolve,[$cnf( coll(X_2645,skolemFOFtoCNF_C_1,X_2646) )],[refute_0_177,refute_0_154]) ).
cnf(refute_0_179,plain,
( ~ coll(X_2641,skolemFOFtoCNF_P_8,C)
| ~ coll(X_2641,skolemFOFtoCNF_P_8,X_2642)
| coll(C,X_2642,X_2641) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2641)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(X_2642))]]) ).
cnf(refute_0_180,plain,
( ~ coll(X_2613,skolemFOFtoCNF_J,C)
| ~ coll(X_2613,skolemFOFtoCNF_J,skolemFOFtoCNF_P_8)
| coll(C,skolemFOFtoCNF_P_8,X_2613) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2613)),bind(B,$fot(skolemFOFtoCNF_J)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_181,plain,
( ~ coll(skolemFOFtoCNF_P_8,X_2499,C)
| ~ coll(skolemFOFtoCNF_P_8,X_2499,skolemFOFtoCNF_J)
| coll(C,skolemFOFtoCNF_J,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(X_2499)),bind(D,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_182,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_J)
| coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_J)),bind(D,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_183,plain,
( ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_P_8,skolemFOFtoCNF_R_1)
| coll(skolemFOFtoCNF_J,skolemFOFtoCNF_R_1,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_J)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_184,plain,
coll(skolemFOFtoCNF_J,skolemFOFtoCNF_R_1,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,skolemFOFtoCNF_P_8,skolemFOFtoCNF_R_1) )],[refute_0_110,refute_0_183]) ).
cnf(refute_0_185,plain,
( ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_R_1,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_J)),bind(B,$fot(skolemFOFtoCNF_R_1)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_186,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_J),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,skolemFOFtoCNF_R_1,skolemFOFtoCNF_P_8) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_J) )],[refute_0_186,refute_0_182]) ).
cnf(refute_0_188,plain,
( ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,X_2491)
| ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_P_8,X_2491,skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_J)),bind(B,$fot(skolemFOFtoCNF_J)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(X_2491))]]) ).
cnf(refute_0_189,plain,
( ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,X_2491)
| coll(skolemFOFtoCNF_P_8,X_2491,skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,skolemFOFtoCNF_P_8) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
coll(skolemFOFtoCNF_P_8,X_2491,skolemFOFtoCNF_J),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,skolemFOFtoCNF_J,X_2491) )],[refute_0_116,refute_0_189]) ).
cnf(refute_0_191,plain,
coll(skolemFOFtoCNF_P_8,X_2499,skolemFOFtoCNF_J),
inference(subst,[],[refute_0_190:[bind(X_2491,$fot(X_2499))]]) ).
cnf(refute_0_192,plain,
( ~ coll(skolemFOFtoCNF_P_8,X_2499,C)
| coll(C,skolemFOFtoCNF_J,skolemFOFtoCNF_P_8) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,X_2499,skolemFOFtoCNF_J) )],[refute_0_191,refute_0_181]) ).
cnf(refute_0_193,plain,
coll(skolemFOFtoCNF_P_8,X_2499,C),
inference(subst,[],[refute_0_126:[bind(X_2489,$fot(C)),bind(X_2490,$fot(skolemFOFtoCNF_P_8)),bind(X_2491,$fot(X_2499))]]) ).
cnf(refute_0_194,plain,
coll(C,skolemFOFtoCNF_J,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,X_2499,C) )],[refute_0_193,refute_0_192]) ).
cnf(refute_0_195,plain,
coll(X_2613,skolemFOFtoCNF_J,skolemFOFtoCNF_P_8),
inference(subst,[],[refute_0_194:[bind(C,$fot(X_2613))]]) ).
cnf(refute_0_196,plain,
( ~ coll(X_2613,skolemFOFtoCNF_J,C)
| coll(C,skolemFOFtoCNF_P_8,X_2613) ),
inference(resolve,[$cnf( coll(X_2613,skolemFOFtoCNF_J,skolemFOFtoCNF_P_8) )],[refute_0_195,refute_0_180]) ).
cnf(refute_0_197,plain,
( ~ coll(X_2607,skolemFOFtoCNF_D,C)
| ~ coll(X_2607,skolemFOFtoCNF_D,X_2608)
| coll(C,X_2608,X_2607) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2607)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_2608))]]) ).
cnf(refute_0_198,plain,
( ~ coll(X_2514,skolemFOFtoCNF_C_1,C)
| ~ coll(X_2514,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| coll(C,skolemFOFtoCNF_D,X_2514) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2514)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_199,plain,
( ~ coll(skolemFOFtoCNF_D,X_2513,C)
| ~ coll(skolemFOFtoCNF_D,X_2513,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_2513)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_200,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_R_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_201,plain,
( ~ coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_R_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_202,plain,
( ~ midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_R_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_203,plain,
coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_71,refute_0_202]) ).
cnf(refute_0_204,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_203,refute_0_201]) ).
cnf(refute_0_205,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_C_1) )],[refute_0_204,refute_0_200]) ).
cnf(refute_0_206,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_2491)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,X_2491,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_2491))]]) ).
cnf(refute_0_207,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_2491)
| coll(skolemFOFtoCNF_D,X_2491,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_2491),
inference(subst,[],[refute_0_61:[bind(X_465,$fot(X_2491)),bind(X_466,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_209,plain,
coll(skolemFOFtoCNF_D,X_2491,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_2491) )],[refute_0_208,refute_0_207]) ).
cnf(refute_0_210,plain,
coll(skolemFOFtoCNF_D,X_2513,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_209:[bind(X_2491,$fot(X_2513))]]) ).
cnf(refute_0_211,plain,
( ~ coll(skolemFOFtoCNF_D,X_2513,C)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_2513,skolemFOFtoCNF_C_1) )],[refute_0_210,refute_0_199]) ).
cnf(refute_0_212,plain,
coll(skolemFOFtoCNF_D,X_2513,C),
inference(subst,[],[refute_0_126:[bind(X_2489,$fot(C)),bind(X_2490,$fot(skolemFOFtoCNF_D)),bind(X_2491,$fot(X_2513))]]) ).
cnf(refute_0_213,plain,
coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_2513,C) )],[refute_0_212,refute_0_211]) ).
cnf(refute_0_214,plain,
coll(X_2514,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_213:[bind(C,$fot(X_2514))]]) ).
cnf(refute_0_215,plain,
( ~ coll(X_2514,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_D,X_2514) ),
inference(resolve,[$cnf( coll(X_2514,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_214,refute_0_198]) ).
cnf(refute_0_216,plain,
coll(X_2514,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_126:[bind(X_2489,$fot(C)),bind(X_2490,$fot(X_2514)),bind(X_2491,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_217,plain,
coll(C,skolemFOFtoCNF_D,X_2514),
inference(resolve,[$cnf( coll(X_2514,skolemFOFtoCNF_C_1,C) )],[refute_0_216,refute_0_215]) ).
cnf(refute_0_218,plain,
coll(X_2607,skolemFOFtoCNF_D,X_2608),
inference(subst,[],[refute_0_217:[bind(C,$fot(X_2607)),bind(X_2514,$fot(X_2608))]]) ).
cnf(refute_0_219,plain,
( ~ coll(X_2607,skolemFOFtoCNF_D,C)
| coll(C,X_2608,X_2607) ),
inference(resolve,[$cnf( coll(X_2607,skolemFOFtoCNF_D,X_2608) )],[refute_0_218,refute_0_197]) ).
cnf(refute_0_220,plain,
( ~ coll(X_2605,skolemFOFtoCNF_B_1,C)
| ~ coll(X_2605,skolemFOFtoCNF_B_1,X_2606)
| coll(C,X_2606,X_2605) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2605)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_2606))]]) ).
cnf(refute_0_221,plain,
( ~ coll(X_2604,skolemFOFtoCNF_M_3,C)
| ~ coll(X_2604,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_2604) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2604)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_222,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_2518,C)
| ~ coll(skolemFOFtoCNF_B_1,X_2518,skolemFOFtoCNF_M_3)
| coll(C,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2518)),bind(D,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_223,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3)
| coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_224,plain,
( ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_225,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_226,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_227,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_229,plain,
coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) )],[refute_0_229,refute_0_224]) ).
cnf(refute_0_231,plain,
coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3) )],[refute_0_230,refute_0_223]) ).
cnf(refute_0_232,plain,
( ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,X_2491)
| ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_2491,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_2491))]]) ).
cnf(refute_0_233,plain,
( ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,X_2491)
| coll(skolemFOFtoCNF_B_1,X_2491,skolemFOFtoCNF_M_3) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,X_2491),
inference(subst,[],[refute_0_61:[bind(X_465,$fot(X_2491)),bind(X_466,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_235,plain,
coll(skolemFOFtoCNF_B_1,X_2491,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,X_2491) )],[refute_0_234,refute_0_233]) ).
cnf(refute_0_236,plain,
coll(skolemFOFtoCNF_B_1,X_2518,skolemFOFtoCNF_M_3),
inference(subst,[],[refute_0_235:[bind(X_2491,$fot(X_2518))]]) ).
cnf(refute_0_237,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_2518,C)
| coll(C,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_2518,skolemFOFtoCNF_M_3) )],[refute_0_236,refute_0_222]) ).
cnf(refute_0_238,plain,
coll(skolemFOFtoCNF_B_1,X_2518,C),
inference(subst,[],[refute_0_126:[bind(X_2489,$fot(C)),bind(X_2490,$fot(skolemFOFtoCNF_B_1)),bind(X_2491,$fot(X_2518))]]) ).
cnf(refute_0_239,plain,
coll(C,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_2518,C) )],[refute_0_238,refute_0_237]) ).
cnf(refute_0_240,plain,
coll(X_2604,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_239:[bind(C,$fot(X_2604))]]) ).
cnf(refute_0_241,plain,
( ~ coll(X_2604,skolemFOFtoCNF_M_3,C)
| coll(C,skolemFOFtoCNF_B_1,X_2604) ),
inference(resolve,[$cnf( coll(X_2604,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1) )],[refute_0_240,refute_0_221]) ).
cnf(refute_0_242,plain,
( ~ coll(X_2589,skolemFOFtoCNF_R_1,C)
| ~ coll(X_2589,skolemFOFtoCNF_R_1,X_2590)
| coll(C,X_2590,X_2589) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2589)),bind(B,$fot(skolemFOFtoCNF_R_1)),bind(D,$fot(X_2590))]]) ).
cnf(refute_0_243,plain,
( ~ coll(X_2588,skolemFOFtoCNF_P_8,C)
| ~ coll(X_2588,skolemFOFtoCNF_P_8,skolemFOFtoCNF_R_1)
| coll(C,skolemFOFtoCNF_R_1,X_2588) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2588)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_244,plain,
( ~ coll(skolemFOFtoCNF_P_8,X_2561,skolemFOFtoCNF_R_1)
| coll(X_2561,skolemFOFtoCNF_P_8,skolemFOFtoCNF_R_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(X_2561)),bind(C,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_245,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_J,skolemFOFtoCNF_R_1)
| coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_J)),bind(C,$fot(skolemFOFtoCNF_R_1)),bind(D,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_246,plain,
( ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_P_8,skolemFOFtoCNF_R_1)
| coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_J,skolemFOFtoCNF_R_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_J)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_247,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_J,skolemFOFtoCNF_R_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,skolemFOFtoCNF_P_8,skolemFOFtoCNF_R_1) )],[refute_0_110,refute_0_246]) ).
cnf(refute_0_248,plain,
coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_J,skolemFOFtoCNF_R_1) )],[refute_0_247,refute_0_245]) ).
cnf(refute_0_249,plain,
( ~ coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1,X_2491)
| ~ coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_P_8,X_2491,skolemFOFtoCNF_R_1) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_R_1)),bind(B,$fot(skolemFOFtoCNF_R_1)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(X_2491))]]) ).
cnf(refute_0_250,plain,
( ~ coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1,X_2491)
| coll(skolemFOFtoCNF_P_8,X_2491,skolemFOFtoCNF_R_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1,skolemFOFtoCNF_P_8) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1,X_2491),
inference(subst,[],[refute_0_61:[bind(X_465,$fot(X_2491)),bind(X_466,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_252,plain,
coll(skolemFOFtoCNF_P_8,X_2491,skolemFOFtoCNF_R_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1,X_2491) )],[refute_0_251,refute_0_250]) ).
cnf(refute_0_253,plain,
coll(skolemFOFtoCNF_P_8,X_2561,skolemFOFtoCNF_R_1),
inference(subst,[],[refute_0_252:[bind(X_2491,$fot(X_2561))]]) ).
cnf(refute_0_254,plain,
coll(X_2561,skolemFOFtoCNF_P_8,skolemFOFtoCNF_R_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,X_2561,skolemFOFtoCNF_R_1) )],[refute_0_253,refute_0_244]) ).
cnf(refute_0_255,plain,
coll(X_2588,skolemFOFtoCNF_P_8,skolemFOFtoCNF_R_1),
inference(subst,[],[refute_0_254:[bind(X_2561,$fot(X_2588))]]) ).
cnf(refute_0_256,plain,
( ~ coll(X_2588,skolemFOFtoCNF_P_8,C)
| coll(C,skolemFOFtoCNF_R_1,X_2588) ),
inference(resolve,[$cnf( coll(X_2588,skolemFOFtoCNF_P_8,skolemFOFtoCNF_R_1) )],[refute_0_255,refute_0_243]) ).
cnf(refute_0_257,plain,
( ~ coll(X_2584,skolemFOFtoCNF_A,C)
| ~ coll(X_2584,skolemFOFtoCNF_A,X_2585)
| coll(C,X_2585,X_2584) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2584)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_2585))]]) ).
cnf(refute_0_258,plain,
( ~ coll(X_2583,skolemFOFtoCNF_P_8,C)
| ~ coll(X_2583,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,X_2583) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2583)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_259,plain,
( ~ coll(skolemFOFtoCNF_A,X_2551,C)
| ~ coll(skolemFOFtoCNF_A,X_2551,skolemFOFtoCNF_P_8)
| coll(C,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_2551)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_260,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_261,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_262,plain,
( ~ midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_94:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_263,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_39,refute_0_262]) ).
cnf(refute_0_264,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_263,refute_0_261]) ).
cnf(refute_0_265,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8) )],[refute_0_264,refute_0_260]) ).
cnf(refute_0_266,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_2491)
| ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_2491,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_2491))]]) ).
cnf(refute_0_267,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_2491)
| coll(skolemFOFtoCNF_A,X_2491,skolemFOFtoCNF_P_8) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_2491),
inference(subst,[],[refute_0_61:[bind(X_465,$fot(X_2491)),bind(X_466,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_269,plain,
coll(skolemFOFtoCNF_A,X_2491,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_2491) )],[refute_0_268,refute_0_267]) ).
cnf(refute_0_270,plain,
coll(skolemFOFtoCNF_A,X_2551,skolemFOFtoCNF_P_8),
inference(subst,[],[refute_0_269:[bind(X_2491,$fot(X_2551))]]) ).
cnf(refute_0_271,plain,
( ~ coll(skolemFOFtoCNF_A,X_2551,C)
| coll(C,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_2551,skolemFOFtoCNF_P_8) )],[refute_0_270,refute_0_259]) ).
cnf(refute_0_272,plain,
coll(skolemFOFtoCNF_A,X_2551,C),
inference(subst,[],[refute_0_126:[bind(X_2489,$fot(C)),bind(X_2490,$fot(skolemFOFtoCNF_A)),bind(X_2491,$fot(X_2551))]]) ).
cnf(refute_0_273,plain,
coll(C,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_2551,C) )],[refute_0_272,refute_0_271]) ).
cnf(refute_0_274,plain,
coll(X_2583,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_273:[bind(C,$fot(X_2583))]]) ).
cnf(refute_0_275,plain,
( ~ coll(X_2583,skolemFOFtoCNF_P_8,C)
| coll(C,skolemFOFtoCNF_A,X_2583) ),
inference(resolve,[$cnf( coll(X_2583,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) )],[refute_0_274,refute_0_258]) ).
cnf(refute_0_276,plain,
( ~ coll(X_2576,skolemFOFtoCNF_O_2,C)
| ~ coll(X_2576,skolemFOFtoCNF_O_2,X_2577)
| coll(C,X_2577,X_2576) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2576)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(X_2577))]]) ).
cnf(refute_0_277,plain,
( ~ coll(X_2529,skolemFOFtoCNF_J,C)
| ~ coll(X_2529,skolemFOFtoCNF_J,skolemFOFtoCNF_O_2)
| coll(C,skolemFOFtoCNF_O_2,X_2529) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(X_2529)),bind(B,$fot(skolemFOFtoCNF_J)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_278,plain,
( ~ coll(skolemFOFtoCNF_J,X_2522,skolemFOFtoCNF_O_2)
| coll(X_2522,skolemFOFtoCNF_J,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_J)),bind(B,$fot(X_2522)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_279,plain,
( ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_M_3,skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_J)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_280,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_J),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,skolemFOFtoCNF_M_3,skolemFOFtoCNF_O_2) )],[refute_0_135,refute_0_279]) ).
cnf(refute_0_281,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_2491)
| ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_J)
| coll(skolemFOFtoCNF_J,X_2491,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_105:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_J)),bind(D,$fot(X_2491))]]) ).
cnf(refute_0_282,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_2491)
| coll(skolemFOFtoCNF_J,X_2491,skolemFOFtoCNF_O_2) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_J) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_2491),
inference(subst,[],[refute_0_61:[bind(X_465,$fot(X_2491)),bind(X_466,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_284,plain,
coll(skolemFOFtoCNF_J,X_2491,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_2491) )],[refute_0_283,refute_0_282]) ).
cnf(refute_0_285,plain,
coll(skolemFOFtoCNF_J,X_2522,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_284:[bind(X_2491,$fot(X_2522))]]) ).
cnf(refute_0_286,plain,
coll(X_2522,skolemFOFtoCNF_J,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,X_2522,skolemFOFtoCNF_O_2) )],[refute_0_285,refute_0_278]) ).
cnf(refute_0_287,plain,
coll(X_2529,skolemFOFtoCNF_J,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_286:[bind(X_2522,$fot(X_2529))]]) ).
cnf(refute_0_288,plain,
( ~ coll(X_2529,skolemFOFtoCNF_J,C)
| coll(C,skolemFOFtoCNF_O_2,X_2529) ),
inference(resolve,[$cnf( coll(X_2529,skolemFOFtoCNF_J,skolemFOFtoCNF_O_2) )],[refute_0_287,refute_0_277]) ).
cnf(refute_0_289,plain,
coll(X_2529,skolemFOFtoCNF_J,C),
inference(subst,[],[refute_0_126:[bind(X_2489,$fot(C)),bind(X_2490,$fot(X_2529)),bind(X_2491,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_290,plain,
coll(C,skolemFOFtoCNF_O_2,X_2529),
inference(resolve,[$cnf( coll(X_2529,skolemFOFtoCNF_J,C) )],[refute_0_289,refute_0_288]) ).
cnf(refute_0_291,plain,
coll(X_2576,skolemFOFtoCNF_O_2,X_2577),
inference(subst,[],[refute_0_290:[bind(C,$fot(X_2576)),bind(X_2529,$fot(X_2577))]]) ).
cnf(refute_0_292,plain,
( ~ coll(X_2576,skolemFOFtoCNF_O_2,C)
| coll(C,X_2577,X_2576) ),
inference(resolve,[$cnf( coll(X_2576,skolemFOFtoCNF_O_2,X_2577) )],[refute_0_291,refute_0_276]) ).
cnf(refute_0_293,plain,
coll(X_2576,skolemFOFtoCNF_O_2,C),
inference(subst,[],[refute_0_126:[bind(X_2489,$fot(C)),bind(X_2490,$fot(X_2576)),bind(X_2491,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_294,plain,
coll(C,X_2577,X_2576),
inference(resolve,[$cnf( coll(X_2576,skolemFOFtoCNF_O_2,C) )],[refute_0_293,refute_0_292]) ).
cnf(refute_0_295,plain,
coll(X_2583,skolemFOFtoCNF_P_8,C),
inference(subst,[],[refute_0_294:[bind(C,$fot(X_2583)),bind(X_2576,$fot(C)),bind(X_2577,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_296,plain,
coll(C,skolemFOFtoCNF_A,X_2583),
inference(resolve,[$cnf( coll(X_2583,skolemFOFtoCNF_P_8,C) )],[refute_0_295,refute_0_275]) ).
cnf(refute_0_297,plain,
coll(X_2584,skolemFOFtoCNF_A,X_2585),
inference(subst,[],[refute_0_296:[bind(C,$fot(X_2584)),bind(X_2583,$fot(X_2585))]]) ).
cnf(refute_0_298,plain,
( ~ coll(X_2584,skolemFOFtoCNF_A,C)
| coll(C,X_2585,X_2584) ),
inference(resolve,[$cnf( coll(X_2584,skolemFOFtoCNF_A,X_2585) )],[refute_0_297,refute_0_257]) ).
cnf(refute_0_299,plain,
coll(X_2584,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_294:[bind(C,$fot(X_2584)),bind(X_2576,$fot(C)),bind(X_2577,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_300,plain,
coll(C,X_2585,X_2584),
inference(resolve,[$cnf( coll(X_2584,skolemFOFtoCNF_A,C) )],[refute_0_299,refute_0_298]) ).
cnf(refute_0_301,plain,
coll(X_2588,skolemFOFtoCNF_P_8,C),
inference(subst,[],[refute_0_300:[bind(C,$fot(X_2588)),bind(X_2584,$fot(C)),bind(X_2585,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_302,plain,
coll(C,skolemFOFtoCNF_R_1,X_2588),
inference(resolve,[$cnf( coll(X_2588,skolemFOFtoCNF_P_8,C) )],[refute_0_301,refute_0_256]) ).
cnf(refute_0_303,plain,
coll(X_2589,skolemFOFtoCNF_R_1,X_2590),
inference(subst,[],[refute_0_302:[bind(C,$fot(X_2589)),bind(X_2588,$fot(X_2590))]]) ).
cnf(refute_0_304,plain,
( ~ coll(X_2589,skolemFOFtoCNF_R_1,C)
| coll(C,X_2590,X_2589) ),
inference(resolve,[$cnf( coll(X_2589,skolemFOFtoCNF_R_1,X_2590) )],[refute_0_303,refute_0_242]) ).
cnf(refute_0_305,plain,
coll(X_2589,skolemFOFtoCNF_R_1,C),
inference(subst,[],[refute_0_300:[bind(C,$fot(X_2589)),bind(X_2584,$fot(C)),bind(X_2585,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_306,plain,
coll(C,X_2590,X_2589),
inference(resolve,[$cnf( coll(X_2589,skolemFOFtoCNF_R_1,C) )],[refute_0_305,refute_0_304]) ).
cnf(refute_0_307,plain,
coll(X_2604,skolemFOFtoCNF_M_3,C),
inference(subst,[],[refute_0_306:[bind(C,$fot(X_2604)),bind(X_2589,$fot(C)),bind(X_2590,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_308,plain,
coll(C,skolemFOFtoCNF_B_1,X_2604),
inference(resolve,[$cnf( coll(X_2604,skolemFOFtoCNF_M_3,C) )],[refute_0_307,refute_0_241]) ).
cnf(refute_0_309,plain,
coll(X_2605,skolemFOFtoCNF_B_1,X_2606),
inference(subst,[],[refute_0_308:[bind(C,$fot(X_2605)),bind(X_2604,$fot(X_2606))]]) ).
cnf(refute_0_310,plain,
( ~ coll(X_2605,skolemFOFtoCNF_B_1,C)
| coll(C,X_2606,X_2605) ),
inference(resolve,[$cnf( coll(X_2605,skolemFOFtoCNF_B_1,X_2606) )],[refute_0_309,refute_0_220]) ).
cnf(refute_0_311,plain,
coll(X_2605,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_306:[bind(C,$fot(X_2605)),bind(X_2589,$fot(C)),bind(X_2590,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_312,plain,
coll(C,X_2606,X_2605),
inference(resolve,[$cnf( coll(X_2605,skolemFOFtoCNF_B_1,C) )],[refute_0_311,refute_0_310]) ).
cnf(refute_0_313,plain,
coll(X_2607,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_312:[bind(C,$fot(X_2607)),bind(X_2605,$fot(C)),bind(X_2606,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_314,plain,
coll(C,X_2608,X_2607),
inference(resolve,[$cnf( coll(X_2607,skolemFOFtoCNF_D,C) )],[refute_0_313,refute_0_219]) ).
cnf(refute_0_315,plain,
coll(X_2613,skolemFOFtoCNF_J,C),
inference(subst,[],[refute_0_314:[bind(C,$fot(X_2613)),bind(X_2607,$fot(C)),bind(X_2608,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_316,plain,
coll(C,skolemFOFtoCNF_P_8,X_2613),
inference(resolve,[$cnf( coll(X_2613,skolemFOFtoCNF_J,C) )],[refute_0_315,refute_0_196]) ).
cnf(refute_0_317,plain,
coll(X_2641,skolemFOFtoCNF_P_8,X_2642),
inference(subst,[],[refute_0_316:[bind(C,$fot(X_2641)),bind(X_2613,$fot(X_2642))]]) ).
cnf(refute_0_318,plain,
( ~ coll(X_2641,skolemFOFtoCNF_P_8,C)
| coll(C,X_2642,X_2641) ),
inference(resolve,[$cnf( coll(X_2641,skolemFOFtoCNF_P_8,X_2642) )],[refute_0_317,refute_0_179]) ).
cnf(refute_0_319,plain,
coll(X_2641,skolemFOFtoCNF_P_8,C),
inference(subst,[],[refute_0_314:[bind(C,$fot(X_2641)),bind(X_2607,$fot(C)),bind(X_2608,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_320,plain,
coll(C,X_2642,X_2641),
inference(resolve,[$cnf( coll(X_2641,skolemFOFtoCNF_P_8,C) )],[refute_0_319,refute_0_318]) ).
cnf(refute_0_321,plain,
coll(X_2645,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_320:[bind(C,$fot(X_2645)),bind(X_2641,$fot(C)),bind(X_2642,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_322,plain,
coll(C,X_2646,X_2645),
inference(resolve,[$cnf( coll(X_2645,skolemFOFtoCNF_C_1,C) )],[refute_0_321,refute_0_178]) ).
cnf(refute_0_323,plain,
coll(X_2647,skolemFOFtoCNF_M_3,C),
inference(subst,[],[refute_0_322:[bind(C,$fot(X_2647)),bind(X_2645,$fot(C)),bind(X_2646,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_324,plain,
coll(C,X_2648,X_2647),
inference(resolve,[$cnf( coll(X_2647,skolemFOFtoCNF_M_3,C) )],[refute_0_323,refute_0_153]) ).
cnf(refute_0_325,plain,
coll(X_2649,skolemFOFtoCNF_J,C),
inference(subst,[],[refute_0_324:[bind(C,$fot(X_2649)),bind(X_2647,$fot(C)),bind(X_2648,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_326,plain,
coll(C,X_2650,X_2649),
inference(resolve,[$cnf( coll(X_2649,skolemFOFtoCNF_J,C) )],[refute_0_325,refute_0_130]) ).
cnf(refute_0_327,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),
inference(subst,[],[refute_0_326:[bind(C,$fot(skolemFOFtoCNF_D)),bind(X_2649,$fot(skolemFOFtoCNF_R_1)),bind(X_2650,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_328,plain,
midp(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1) )],[refute_0_327,refute_0_104]) ).
cnf(refute_0_329,plain,
midp(skolemFOFtoCNF_D,X_2659,X_2659),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1) )],[refute_0_328,refute_0_69]) ).
cnf(refute_0_330,plain,
midp(skolemFOFtoCNF_D,X_2703,X_2703),
inference(subst,[],[refute_0_329:[bind(X_2659,$fot(X_2703))]]) ).
cnf(refute_0_331,plain,
midp(skolemFOFtoCNF_P_1(X_2703,Q),X_2703,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_D,X_2703,X_2703) )],[refute_0_330,refute_0_64]) ).
cnf(refute_0_332,plain,
midp(skolemFOFtoCNF_P_1(X_2832,X_2831),X_2832,X_2831),
inference(subst,[],[refute_0_331:[bind(Q,$fot(X_2831)),bind(X_2703,$fot(X_2832))]]) ).
cnf(refute_0_333,plain,
cong(skolemFOFtoCNF_P_1(X_2832,X_2831),X_2832,skolemFOFtoCNF_P_1(X_2832,X_2831),X_2831),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_2832,X_2831),X_2832,X_2831) )],[refute_0_332,refute_0_24]) ).
cnf(refute_0_334,plain,
cong(skolemFOFtoCNF_P_1(X_4230,X_4229),X_4230,skolemFOFtoCNF_P_1(X_4230,X_4229),X_4229),
inference(subst,[],[refute_0_333:[bind(X_2831,$fot(X_4229)),bind(X_2832,$fot(X_4230))]]) ).
cnf(refute_0_335,plain,
cyclic(X_4230,X_4229,X_4229,X_4229),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_4230,X_4229),X_4230,skolemFOFtoCNF_P_1(X_4230,X_4229),X_4229) )],[refute_0_334,refute_0_22]) ).
cnf(refute_0_336,plain,
cyclic(X_4232,X_4231,X_4231,X_4231),
inference(subst,[],[refute_0_335:[bind(X_4229,$fot(X_4231)),bind(X_4230,$fot(X_4232))]]) ).
cnf(refute_0_337,plain,
cyclic(X_4231,X_4232,X_4231,X_4231),
inference(resolve,[$cnf( cyclic(X_4232,X_4231,X_4231,X_4231) )],[refute_0_336,refute_0_20]) ).
cnf(refute_0_338,plain,
cyclic(X_4233,X_4234,X_4233,X_4233),
inference(subst,[],[refute_0_337:[bind(X_4231,$fot(X_4233)),bind(X_4232,$fot(X_4234))]]) ).
cnf(refute_0_339,plain,
cyclic(X_4233,X_4233,X_4234,X_4233),
inference(resolve,[$cnf( cyclic(X_4233,X_4234,X_4233,X_4233) )],[refute_0_338,refute_0_18]) ).
cnf(refute_0_340,plain,
cyclic(X_4235,X_4235,X_4236,X_4235),
inference(subst,[],[refute_0_339:[bind(X_4233,$fot(X_4235)),bind(X_4234,$fot(X_4236))]]) ).
cnf(refute_0_341,plain,
cyclic(X_4235,X_4235,X_4235,X_4236),
inference(resolve,[$cnf( cyclic(X_4235,X_4235,X_4236,X_4235) )],[refute_0_340,refute_0_16]) ).
cnf(refute_0_342,plain,
cyclic(X_4237,X_4237,X_4237,X_4238),
inference(subst,[],[refute_0_341:[bind(X_4235,$fot(X_4237)),bind(X_4236,$fot(X_4238))]]) ).
cnf(refute_0_343,plain,
cyclic(X_4237,X_4237,X_4238,X_4238),
inference(resolve,[$cnf( cyclic(X_4237,X_4237,X_4237,X_4238) )],[refute_0_342,refute_0_14]) ).
cnf(refute_0_344,plain,
cyclic(X_4239,X_4239,X_4240,X_4240),
inference(subst,[],[refute_0_343:[bind(X_4237,$fot(X_4239)),bind(X_4238,$fot(X_4240))]]) ).
cnf(refute_0_345,plain,
( ~ cong(X_4239,X_4240,X_4239,X_4240)
| perp(X_4240,X_4239,X_4239,X_4240) ),
inference(resolve,[$cnf( cyclic(X_4239,X_4239,X_4240,X_4240) )],[refute_0_344,refute_0_12]) ).
cnf(refute_0_346,plain,
( ~ midp(X_3025,X_3024,X_3024)
| cong(X_3025,X_3024,X_3025,X_3024) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_3025)),bind(B,$fot(X_3024)),bind(C,$fot(X_3024))]]) ).
cnf(refute_0_347,plain,
( ~ midp(X_2717,skolemFOFtoCNF_D,skolemFOFtoCNF_D)
| midp(X_2717,X_2659,X_2659) ),
inference(subst,[],[refute_0_68:[bind(X_2658,$fot(skolemFOFtoCNF_D)),bind(X_2660,$fot(X_2717))]]) ).
cnf(refute_0_348,plain,
( ~ coll(X_2716,skolemFOFtoCNF_D,skolemFOFtoCNF_D)
| ~ cong(X_2716,skolemFOFtoCNF_D,X_2716,skolemFOFtoCNF_D)
| midp(X_2716,skolemFOFtoCNF_D,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_2716)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_349,plain,
( ~ cong(X_2714,skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_2714)
| cong(X_2714,skolemFOFtoCNF_D,X_2714,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_2714)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_2714))]]) ).
cnf(refute_0_350,plain,
( ~ cong(skolemFOFtoCNF_D,X_2709,X_2709,skolemFOFtoCNF_D)
| cong(X_2709,skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_2709) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_2709)),bind(C,$fot(X_2709)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_351,plain,
( ~ cong(skolemFOFtoCNF_D,X_2705,skolemFOFtoCNF_D,X_2705)
| cong(skolemFOFtoCNF_D,X_2705,X_2705,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_2705)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_2705))]]) ).
cnf(refute_0_352,plain,
( ~ midp(skolemFOFtoCNF_D,X_2703,X_2703)
| cong(skolemFOFtoCNF_D,X_2703,skolemFOFtoCNF_D,X_2703) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_2703)),bind(C,$fot(X_2703))]]) ).
cnf(refute_0_353,plain,
cong(skolemFOFtoCNF_D,X_2703,skolemFOFtoCNF_D,X_2703),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_D,X_2703,X_2703) )],[refute_0_330,refute_0_352]) ).
cnf(refute_0_354,plain,
cong(skolemFOFtoCNF_D,X_2705,skolemFOFtoCNF_D,X_2705),
inference(subst,[],[refute_0_353:[bind(X_2703,$fot(X_2705))]]) ).
cnf(refute_0_355,plain,
cong(skolemFOFtoCNF_D,X_2705,X_2705,skolemFOFtoCNF_D),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_D,X_2705,skolemFOFtoCNF_D,X_2705) )],[refute_0_354,refute_0_351]) ).
cnf(refute_0_356,plain,
cong(skolemFOFtoCNF_D,X_2709,X_2709,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_355:[bind(X_2705,$fot(X_2709))]]) ).
cnf(refute_0_357,plain,
cong(X_2709,skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_2709),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_D,X_2709,X_2709,skolemFOFtoCNF_D) )],[refute_0_356,refute_0_350]) ).
cnf(refute_0_358,plain,
cong(X_2714,skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_2714),
inference(subst,[],[refute_0_357:[bind(X_2709,$fot(X_2714))]]) ).
cnf(refute_0_359,plain,
cong(X_2714,skolemFOFtoCNF_D,X_2714,skolemFOFtoCNF_D),
inference(resolve,[$cnf( cong(X_2714,skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_2714) )],[refute_0_358,refute_0_349]) ).
cnf(refute_0_360,plain,
cong(X_2716,skolemFOFtoCNF_D,X_2716,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_359:[bind(X_2714,$fot(X_2716))]]) ).
cnf(refute_0_361,plain,
( ~ coll(X_2716,skolemFOFtoCNF_D,skolemFOFtoCNF_D)
| midp(X_2716,skolemFOFtoCNF_D,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( cong(X_2716,skolemFOFtoCNF_D,X_2716,skolemFOFtoCNF_D) )],[refute_0_360,refute_0_348]) ).
cnf(refute_0_362,plain,
coll(X_2716,skolemFOFtoCNF_D,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_326:[bind(C,$fot(X_2716)),bind(X_2649,$fot(skolemFOFtoCNF_D)),bind(X_2650,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_363,plain,
midp(X_2716,skolemFOFtoCNF_D,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(X_2716,skolemFOFtoCNF_D,skolemFOFtoCNF_D) )],[refute_0_362,refute_0_361]) ).
cnf(refute_0_364,plain,
midp(X_2717,skolemFOFtoCNF_D,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_363:[bind(X_2716,$fot(X_2717))]]) ).
cnf(refute_0_365,plain,
midp(X_2717,X_2659,X_2659),
inference(resolve,[$cnf( midp(X_2717,skolemFOFtoCNF_D,skolemFOFtoCNF_D) )],[refute_0_364,refute_0_347]) ).
cnf(refute_0_366,plain,
midp(X_3025,X_3024,X_3024),
inference(subst,[],[refute_0_365:[bind(X_2659,$fot(X_3024)),bind(X_2717,$fot(X_3025))]]) ).
cnf(refute_0_367,plain,
cong(X_3025,X_3024,X_3025,X_3024),
inference(resolve,[$cnf( midp(X_3025,X_3024,X_3024) )],[refute_0_366,refute_0_346]) ).
cnf(refute_0_368,plain,
cong(X_4239,X_4240,X_4239,X_4240),
inference(subst,[],[refute_0_367:[bind(X_3024,$fot(X_4240)),bind(X_3025,$fot(X_4239))]]) ).
cnf(refute_0_369,plain,
perp(X_4240,X_4239,X_4239,X_4240),
inference(resolve,[$cnf( cong(X_4239,X_4240,X_4239,X_4240) )],[refute_0_368,refute_0_345]) ).
cnf(refute_0_370,plain,
perp(X_4242,X_4241,X_4241,X_4242),
inference(subst,[],[refute_0_369:[bind(X_4239,$fot(X_4241)),bind(X_4240,$fot(X_4242))]]) ).
cnf(refute_0_371,plain,
( ~ midp(M,X_4242,X_4242)
| cong(X_4242,M,X_4241,M) ),
inference(resolve,[$cnf( perp(X_4242,X_4241,X_4241,X_4242) )],[refute_0_370,refute_0_10]) ).
cnf(refute_0_372,plain,
( ~ midp(X_2782,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_2782,X_2659,X_2659) ),
inference(subst,[],[refute_0_68:[bind(X_2658,$fot(skolemFOFtoCNF_A)),bind(X_2660,$fot(X_2782))]]) ).
cnf(refute_0_373,plain,
( ~ coll(X_2781,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ cong(X_2781,skolemFOFtoCNF_A,X_2781,skolemFOFtoCNF_A)
| midp(X_2781,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_2781)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_374,plain,
( ~ cong(X_2779,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2779)
| cong(X_2779,skolemFOFtoCNF_A,X_2779,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_2779)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_2779))]]) ).
cnf(refute_0_375,plain,
( ~ cong(skolemFOFtoCNF_A,X_2755,X_2755,skolemFOFtoCNF_A)
| cong(X_2755,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2755) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_2755)),bind(C,$fot(X_2755)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_376,plain,
( ~ cong(skolemFOFtoCNF_A,X_2753,skolemFOFtoCNF_A,X_2753)
| cong(skolemFOFtoCNF_A,X_2753,X_2753,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_2753)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_2753))]]) ).
cnf(refute_0_377,plain,
( ~ midp(skolemFOFtoCNF_A,X_2751,X_2751)
| cong(skolemFOFtoCNF_A,X_2751,skolemFOFtoCNF_A,X_2751) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_2751)),bind(C,$fot(X_2751))]]) ).
cnf(refute_0_378,plain,
( ~ midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| midp(skolemFOFtoCNF_A,X_2659,X_2659) ),
inference(subst,[],[refute_0_68:[bind(X_2658,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(X_2660,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_379,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(C,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_380,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(C,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_381,plain,
( ~ cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_382,plain,
( ~ cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_383,plain,
( ~ midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_384,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_35:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_385,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_386,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_387,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_388,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_389,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_388]) ).
cnf(refute_0_390,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_389,refute_0_387]) ).
cnf(refute_0_391,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_390,refute_0_386]) ).
cnf(refute_0_392,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_391,refute_0_385]) ).
cnf(refute_0_393,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_392,refute_0_384]) ).
cnf(refute_0_394,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_395,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
( ~ midp(X_2660,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| midp(X_2660,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(M,$fot(X_2660))]]) ).
cnf(refute_0_397,plain,
( ~ midp(X_2660,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_2660,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
( ~ midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_397:[bind(X_2660,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_399,plain,
( ~ midp(M,B,D)
| ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| midp(skolemFOFtoCNF_P_7(A,C),A,C) ),
inference(canonicalize,[],[normalize_0_74]) ).
cnf(refute_0_400,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),X_2730,X_2730)
| ~ perp(X_2730,X_2730,X_2730,X_2730)
| midp(skolemFOFtoCNF_P_7(X_2730,X_2730),X_2730,X_2730) ),
inference(subst,[],[refute_0_399:[bind(A,$fot(X_2730)),bind(B,$fot(X_2730)),bind(C,$fot(X_2730)),bind(D,$fot(X_2730)),bind(M,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)))]]) ).
cnf(refute_0_401,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),X_2659,X_2659) ),
inference(subst,[],[refute_0_68:[bind(X_2658,$fot(skolemFOFtoCNF_R_1)),bind(X_2660,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)))]]) ).
cnf(refute_0_402,plain,
( ~ midp(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_R_1,Q),skolemFOFtoCNF_R_1,Q) ),
inference(subst,[],[refute_0_63:[bind(D,$fot(skolemFOFtoCNF_R_1)),bind(N,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_403,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_R_1,Q),skolemFOFtoCNF_R_1,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_D,skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1) )],[refute_0_328,refute_0_402]) ).
cnf(refute_0_404,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),
inference(subst,[],[refute_0_403:[bind(Q,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_405,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),X_2659,X_2659),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1) )],[refute_0_404,refute_0_401]) ).
cnf(refute_0_406,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),X_2730,X_2730),
inference(subst,[],[refute_0_405:[bind(X_2659,$fot(X_2730))]]) ).
cnf(refute_0_407,plain,
( ~ perp(X_2730,X_2730,X_2730,X_2730)
| midp(skolemFOFtoCNF_P_7(X_2730,X_2730),X_2730,X_2730) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_R_1,skolemFOFtoCNF_R_1),X_2730,X_2730) )],[refute_0_406,refute_0_400]) ).
cnf(refute_0_408,plain,
( ~ circle(skolemFOFtoCNF_D,X_2712,X_2712,X_2712)
| ~ coll(skolemFOFtoCNF_D,X_2712,X_2712)
| perp(X_2712,X_2712,X_2712,X_2712) ),
inference(subst,[],[refute_0_91:[bind(A,$fot(X_2712)),bind(B,$fot(X_2712)),bind(C,$fot(X_2712)),bind(O,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_409,plain,
( ~ cong(skolemFOFtoCNF_D,X_2705,skolemFOFtoCNF_D,X_2705)
| circle(skolemFOFtoCNF_D,X_2705,X_2705,X_2705) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(X_2705)),bind(B,$fot(X_2705)),bind(C,$fot(X_2705)),bind(O,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_410,plain,
circle(skolemFOFtoCNF_D,X_2705,X_2705,X_2705),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_D,X_2705,skolemFOFtoCNF_D,X_2705) )],[refute_0_354,refute_0_409]) ).
cnf(refute_0_411,plain,
circle(skolemFOFtoCNF_D,X_2712,X_2712,X_2712),
inference(subst,[],[refute_0_410:[bind(X_2705,$fot(X_2712))]]) ).
cnf(refute_0_412,plain,
( ~ coll(skolemFOFtoCNF_D,X_2712,X_2712)
| perp(X_2712,X_2712,X_2712,X_2712) ),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_D,X_2712,X_2712,X_2712) )],[refute_0_411,refute_0_408]) ).
cnf(refute_0_413,plain,
coll(skolemFOFtoCNF_D,X_2712,X_2712),
inference(subst,[],[refute_0_326:[bind(C,$fot(skolemFOFtoCNF_D)),bind(X_2649,$fot(X_2712)),bind(X_2650,$fot(X_2712))]]) ).
cnf(refute_0_414,plain,
perp(X_2712,X_2712,X_2712,X_2712),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_2712,X_2712) )],[refute_0_413,refute_0_412]) ).
cnf(refute_0_415,plain,
perp(X_2730,X_2730,X_2730,X_2730),
inference(subst,[],[refute_0_414:[bind(X_2712,$fot(X_2730))]]) ).
cnf(refute_0_416,plain,
midp(skolemFOFtoCNF_P_7(X_2730,X_2730),X_2730,X_2730),
inference(resolve,[$cnf( perp(X_2730,X_2730,X_2730,X_2730) )],[refute_0_415,refute_0_407]) ).
cnf(refute_0_417,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_416:[bind(X_2730,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_418,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_417,refute_0_398]) ).
cnf(refute_0_419,plain,
cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_418,refute_0_383]) ).
cnf(refute_0_420,plain,
cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A) )],[refute_0_419,refute_0_382]) ).
cnf(refute_0_421,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) )],[refute_0_420,refute_0_381]) ).
cnf(refute_0_422,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A) )],[refute_0_421,refute_0_380]) ).
cnf(refute_0_423,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) )],[refute_0_422,refute_0_379]) ).
cnf(refute_0_424,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)),
inference(subst,[],[refute_0_326:[bind(C,$fot(skolemFOFtoCNF_A)),bind(X_2649,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(X_2650,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_425,plain,
midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) )],[refute_0_424,refute_0_423]) ).
cnf(refute_0_426,plain,
midp(skolemFOFtoCNF_A,X_2659,X_2659),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) )],[refute_0_425,refute_0_378]) ).
cnf(refute_0_427,plain,
midp(skolemFOFtoCNF_A,X_2751,X_2751),
inference(subst,[],[refute_0_426:[bind(X_2659,$fot(X_2751))]]) ).
cnf(refute_0_428,plain,
cong(skolemFOFtoCNF_A,X_2751,skolemFOFtoCNF_A,X_2751),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,X_2751,X_2751) )],[refute_0_427,refute_0_377]) ).
cnf(refute_0_429,plain,
cong(skolemFOFtoCNF_A,X_2753,skolemFOFtoCNF_A,X_2753),
inference(subst,[],[refute_0_428:[bind(X_2751,$fot(X_2753))]]) ).
cnf(refute_0_430,plain,
cong(skolemFOFtoCNF_A,X_2753,X_2753,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_2753,skolemFOFtoCNF_A,X_2753) )],[refute_0_429,refute_0_376]) ).
cnf(refute_0_431,plain,
cong(skolemFOFtoCNF_A,X_2755,X_2755,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_430:[bind(X_2753,$fot(X_2755))]]) ).
cnf(refute_0_432,plain,
cong(X_2755,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2755),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_2755,X_2755,skolemFOFtoCNF_A) )],[refute_0_431,refute_0_375]) ).
cnf(refute_0_433,plain,
cong(X_2779,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2779),
inference(subst,[],[refute_0_432:[bind(X_2755,$fot(X_2779))]]) ).
cnf(refute_0_434,plain,
cong(X_2779,skolemFOFtoCNF_A,X_2779,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(X_2779,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2779) )],[refute_0_433,refute_0_374]) ).
cnf(refute_0_435,plain,
cong(X_2781,skolemFOFtoCNF_A,X_2781,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_434:[bind(X_2779,$fot(X_2781))]]) ).
cnf(refute_0_436,plain,
( ~ coll(X_2781,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_2781,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( cong(X_2781,skolemFOFtoCNF_A,X_2781,skolemFOFtoCNF_A) )],[refute_0_435,refute_0_373]) ).
cnf(refute_0_437,plain,
coll(X_2781,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_326:[bind(C,$fot(X_2781)),bind(X_2649,$fot(skolemFOFtoCNF_A)),bind(X_2650,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_438,plain,
midp(X_2781,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(X_2781,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_437,refute_0_436]) ).
cnf(refute_0_439,plain,
midp(X_2782,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_438:[bind(X_2781,$fot(X_2782))]]) ).
cnf(refute_0_440,plain,
midp(X_2782,X_2659,X_2659),
inference(resolve,[$cnf( midp(X_2782,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_439,refute_0_372]) ).
cnf(refute_0_441,plain,
midp(M,X_4242,X_4242),
inference(subst,[],[refute_0_440:[bind(X_2659,$fot(X_4242)),bind(X_2782,$fot(M))]]) ).
cnf(refute_0_442,plain,
cong(X_4242,M,X_4241,M),
inference(resolve,[$cnf( midp(M,X_4242,X_4242) )],[refute_0_441,refute_0_371]) ).
cnf(refute_0_443,plain,
cong(X_4261,X_4259,X_4260,X_4259),
inference(subst,[],[refute_0_442:[bind(M,$fot(X_4259)),bind(X_4241,$fot(X_4260)),bind(X_4242,$fot(X_4261))]]) ).
cnf(refute_0_444,plain,
cong(X_4261,X_4259,X_4259,X_4260),
inference(resolve,[$cnf( cong(X_4261,X_4259,X_4260,X_4259) )],[refute_0_443,refute_0_8]) ).
cnf(refute_0_445,plain,
cong(X_4270,X_4268,X_4268,X_4269),
inference(subst,[],[refute_0_444:[bind(X_4259,$fot(X_4268)),bind(X_4260,$fot(X_4269)),bind(X_4261,$fot(X_4270))]]) ).
cnf(refute_0_446,plain,
cong(X_4268,X_4269,X_4270,X_4268),
inference(resolve,[$cnf( cong(X_4270,X_4268,X_4268,X_4269) )],[refute_0_445,refute_0_7]) ).
cnf(refute_0_447,plain,
cong(X_4287,X_4288,X_4289,X_4287),
inference(subst,[],[refute_0_446:[bind(X_4268,$fot(X_4287)),bind(X_4269,$fot(X_4288)),bind(X_4270,$fot(X_4289))]]) ).
cnf(refute_0_448,plain,
cong(X_4287,X_4288,X_4287,X_4289),
inference(resolve,[$cnf( cong(X_4287,X_4288,X_4289,X_4287) )],[refute_0_447,refute_0_5]) ).
cnf(refute_0_449,plain,
cong(X_4292,X_4293,X_4292,X_4294),
inference(subst,[],[refute_0_448:[bind(X_4287,$fot(X_4292)),bind(X_4288,$fot(X_4293)),bind(X_4289,$fot(X_4294))]]) ).
cnf(refute_0_450,plain,
( ~ coll(X_4292,X_4293,X_4294)
| midp(X_4292,X_4293,X_4294) ),
inference(resolve,[$cnf( cong(X_4292,X_4293,X_4292,X_4294) )],[refute_0_449,refute_0_3]) ).
cnf(refute_0_451,plain,
coll(X_4292,X_4293,X_4294),
inference(subst,[],[refute_0_326:[bind(C,$fot(X_4292)),bind(X_2649,$fot(X_4294)),bind(X_2650,$fot(X_4293))]]) ).
cnf(refute_0_452,plain,
midp(X_4292,X_4293,X_4294),
inference(resolve,[$cnf( coll(X_4292,X_4293,X_4294) )],[refute_0_451,refute_0_450]) ).
cnf(refute_0_453,plain,
midp(E,A,B),
inference(subst,[],[refute_0_452:[bind(X_4292,$fot(E)),bind(X_4293,$fot(A)),bind(X_4294,$fot(B))]]) ).
cnf(refute_0_454,plain,
( ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(resolve,[$cnf( midp(E,A,B) )],[refute_0_453,refute_0_1]) ).
cnf(refute_0_455,plain,
midp(F,A,C),
inference(subst,[],[refute_0_452:[bind(X_4292,$fot(F)),bind(X_4293,$fot(A)),bind(X_4294,$fot(C))]]) ).
cnf(refute_0_456,plain,
para(E,F,B,C),
inference(resolve,[$cnf( midp(F,A,C) )],[refute_0_455,refute_0_454]) ).
cnf(refute_0_457,plain,
para(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3,skolemFOFtoCNF_R_1),
inference(subst,[],[refute_0_456:[bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_R_1)),bind(E,$fot(skolemFOFtoCNF_P_8)),bind(F,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_458,plain,
$false,
inference(resolve,[$cnf( para(skolemFOFtoCNF_P_8,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3,skolemFOFtoCNF_R_1) )],[refute_0_457,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO588+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 17 16:00:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 68.99/69.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 68.99/69.20
% 68.99/69.20 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 69.07/69.24
%------------------------------------------------------------------------------