TSTP Solution File: GEO632+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO632+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 05:27:46 EDT 2022
% Result : Theorem 46.48s 46.67s
% Output : CNFRefutation 46.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 91
% Number of leaves : 32
% Syntax : Number of formulae : 495 ( 211 unt; 0 def)
% Number of atoms : 960 ( 0 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 826 ( 361 ~; 356 |; 75 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-6 aty)
% Number of variables : 1141 ( 236 sgn 479 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ) ).
fof(ruleD7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ) ).
fof(ruleD8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C) )
=> circle(O,A,B,C) ) ).
fof(ruleD13,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C)
& cong(O,A,O,D) )
=> cyclic(A,B,C,D) ) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ) ).
fof(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ) ).
fof(ruleD44,axiom,
! [A,B,C,E,F] :
( ( midp(E,A,B)
& midp(F,A,C) )
=> para(E,F,B,C) ) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ) ).
fof(ruleD53,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ) ).
fof(ruleX6,axiom,
! [A,B,C,D,M,N] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D) )
=> ( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(ruleX10,axiom,
! [A,B,C,H] :
? [P,Q] :
( ( perp(A,H,B,C)
& perp(B,H,A,C) )
=> ( coll(P,C,B)
& perp(A,P,C,B)
& coll(Q,C,A)
& perp(B,Q,C,A) ) ) ).
fof(ruleX11,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ) ).
fof(exemplo6GDDFULL8110995,conjecture,
! [A,B,C,A1,S,F,P,Q,NWPNT1,NWPNT2] :
( ( midp(A1,C,B)
& eqangle(S,A,A,B,C,A,A,A1)
& coll(S,B,C)
& circle(F,A,B,C)
& circle(F,A,P,NWPNT1)
& coll(P,A,A1)
& circle(F,A,Q,NWPNT2)
& coll(Q,A,S) )
=> para(B,C,P,Q) ) ).
fof(subgoal_0,plain,
! [A,B,C,A1,S,F,P,Q,NWPNT1,NWPNT2] :
( ( midp(A1,C,B)
& eqangle(S,A,A,B,C,A,A,A1)
& coll(S,B,C)
& circle(F,A,B,C)
& circle(F,A,P,NWPNT1)
& coll(P,A,A1)
& circle(F,A,Q,NWPNT2)
& coll(Q,A,S) )
=> para(B,C,P,Q) ),
inference(strip,[],[exemplo6GDDFULL8110995]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,A1,S,F,P,Q,NWPNT1,NWPNT2] :
( ( midp(A1,C,B)
& eqangle(S,A,A,B,C,A,A,A1)
& coll(S,B,C)
& circle(F,A,B,C)
& circle(F,A,P,NWPNT1)
& coll(P,A,A1)
& circle(F,A,Q,NWPNT2)
& coll(Q,A,S) )
=> para(B,C,P,Q) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,A1,B,C,F,P,Q,S] :
( ~ para(B,C,P,Q)
& circle(F,A,B,C)
& coll(P,A,A1)
& coll(Q,A,S)
& coll(S,B,C)
& eqangle(S,A,A,B,C,A,A,A1)
& midp(A1,C,B)
& ? [NWPNT1] : circle(F,A,P,NWPNT1)
& ? [NWPNT2] : circle(F,A,Q,NWPNT2) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_Q_3)
& circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A1)
& coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_A,skolemFOFtoCNF_S)
& coll(skolemFOFtoCNF_S,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& eqangle(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A1)
& midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& ? [NWPNT1] : circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8,NWPNT1)
& ? [NWPNT2] : circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_Q_3,NWPNT2) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_Q_3),
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,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD39]) ).
fof(normalize_0_31,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A,B,C,D,P,Q] :
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(clausify,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[ruleD41]) ).
fof(normalize_0_34,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_36,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD40]) ).
fof(normalize_0_37,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [A,B,C,D,P,Q] :
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(clausify,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[ruleD19]) ).
fof(normalize_0_40,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(specialize,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[ruleD64]) ).
fof(normalize_0_42,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(specialize,[],[normalize_0_41]) ).
fof(normalize_0_43,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_44,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_43]) ).
fof(normalize_0_45,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_46,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_45]) ).
fof(normalize_0_47,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_46]) ).
fof(normalize_0_48,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_47]) ).
fof(normalize_0_49,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_50,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_49]) ).
fof(normalize_0_51,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_52,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_51]) ).
fof(normalize_0_53,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_54,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_53]) ).
fof(normalize_0_55,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_56,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_55]) ).
fof(normalize_0_57,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_58,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_57]) ).
fof(normalize_0_59,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_60,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_59]) ).
fof(normalize_0_61,plain,
coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_A,skolemFOFtoCNF_S),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_62,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_63,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_62]) ).
fof(normalize_0_64,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_65,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_64]) ).
fof(normalize_0_66,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_67,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_66]) ).
fof(normalize_0_68,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| ? [P,Q] :
( coll(P,C,B)
& coll(Q,C,A)
& perp(A,P,C,B)
& perp(B,Q,C,A) ) ),
inference(canonicalize,[],[ruleX10]) ).
fof(normalize_0_69,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| ? [P,Q] :
( coll(P,C,B)
& coll(Q,C,A)
& perp(A,P,C,B)
& perp(B,Q,C,A) ) ),
inference(specialize,[],[normalize_0_68]) ).
fof(normalize_0_70,plain,
! [A,B,C,H] :
( ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(B,skolemFOFtoCNF_Q_1(A,B,C),C,A) ) ),
inference(clausify,[],[normalize_0_69]) ).
fof(normalize_0_71,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(conjunct,[],[normalize_0_70]) ).
fof(normalize_0_72,plain,
circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_73,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(canonicalize,[],[ruleX11]) ).
fof(normalize_0_74,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(specialize,[],[normalize_0_73]) ).
fof(normalize_0_75,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(clausify,[],[normalize_0_74]) ).
fof(normalize_0_76,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(conjunct,[],[normalize_0_70]) ).
fof(normalize_0_77,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_78,plain,
coll(skolemFOFtoCNF_S,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_Q_3),
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_5878,X_5879,X_5880)
| ~ cong(X_5878,X_5879,X_5878,X_5880)
| midp(X_5878,X_5879,X_5880) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5878)),bind(B,$fot(X_5879)),bind(C,$fot(X_5880))]]) ).
cnf(refute_0_4,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ cong(X_5813,X_5814,X_5815,X_5813)
| cong(X_5813,X_5814,X_5813,X_5815) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5813)),bind(B,$fot(X_5814)),bind(C,$fot(X_5815)),bind(D,$fot(X_5813))]]) ).
cnf(refute_0_6,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ cong(X_5792,X_5790,X_5790,X_5791)
| cong(X_5790,X_5791,X_5792,X_5790) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_5792)),bind(B,$fot(X_5790)),bind(C,$fot(X_5790)),bind(D,$fot(X_5791))]]) ).
cnf(refute_0_8,plain,
( ~ cong(X_5789,X_5787,X_5788,X_5787)
| cong(X_5789,X_5787,X_5787,X_5788) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5789)),bind(B,$fot(X_5787)),bind(C,$fot(X_5788)),bind(D,$fot(X_5787))]]) ).
cnf(refute_0_9,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ midp(M,X_5770,X_5770)
| ~ perp(X_5770,X_5769,X_5769,X_5770)
| cong(X_5770,M,X_5769,M) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_5770)),bind(B,$fot(X_5769)),bind(C,$fot(X_5770))]]) ).
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_5767,X_5768,X_5767,X_5768)
| ~ cyclic(X_5767,X_5767,X_5768,X_5768)
| perp(X_5768,X_5767,X_5767,X_5768) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_5767)),bind(B,$fot(X_5767)),bind(P,$fot(X_5768)),bind(Q,$fot(X_5768))]]) ).
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_5765,X_5765,X_5765,X_5766)
| cyclic(X_5765,X_5765,X_5766,X_5766) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_5765)),bind(B,$fot(X_5765)),bind(C,$fot(X_5765)),bind(D,$fot(X_5766)),bind(E,$fot(X_5766))]]) ).
cnf(refute_0_15,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_16,plain,
( ~ cyclic(X_5763,X_5763,X_5764,X_5763)
| cyclic(X_5763,X_5763,X_5763,X_5764) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_5763)),bind(B,$fot(X_5763)),bind(C,$fot(X_5764)),bind(D,$fot(X_5763))]]) ).
cnf(refute_0_17,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_18,plain,
( ~ cyclic(X_5761,X_5762,X_5761,X_5761)
| cyclic(X_5761,X_5761,X_5762,X_5761) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_5761)),bind(B,$fot(X_5762)),bind(C,$fot(X_5761)),bind(D,$fot(X_5761))]]) ).
cnf(refute_0_19,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_20,plain,
( ~ cyclic(X_5760,X_5759,X_5759,X_5759)
| cyclic(X_5759,X_5760,X_5759,X_5759) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_5760)),bind(B,$fot(X_5759)),bind(C,$fot(X_5759)),bind(D,$fot(X_5759))]]) ).
cnf(refute_0_21,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_22,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_5758,X_5757),X_5758,skolemFOFtoCNF_P_1(X_5758,X_5757),X_5757)
| cyclic(X_5758,X_5757,X_5757,X_5757) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_5758)),bind(B,$fot(X_5757)),bind(C,$fot(X_5757)),bind(D,$fot(X_5757)),bind(O,$fot(skolemFOFtoCNF_P_1(X_5758,X_5757)))]]) ).
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_2448,X_2447),X_2448,X_2447)
| cong(skolemFOFtoCNF_P_1(X_2448,X_2447),X_2448,skolemFOFtoCNF_P_1(X_2448,X_2447),X_2447) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P_1(X_2448,X_2447))),bind(B,$fot(X_2448)),bind(C,$fot(X_2447))]]) ).
cnf(refute_0_25,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_26,plain,
( ~ coll(X_2424,X_2424,X_2424)
| ~ midp(skolemFOFtoCNF_C_1,X_2424,X_2424)
| midp(skolemFOFtoCNF_P_1(X_2424,Q),X_2424,Q) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(X_2424)),bind(B,$fot(X_2424)),bind(C,$fot(X_2424)),bind(D,$fot(X_2424)),bind(M,$fot(skolemFOFtoCNF_C_1)),bind(N,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_27,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_28,plain,
( ~ eqangle(X_369,X_370,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_369,X_370,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| para(X_369,X_370,X_369,X_370) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_369)),bind(B,$fot(X_370)),bind(C,$fot(X_369)),bind(D,$fot(X_370)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_29,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_30,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_31,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_32,plain,
( ~ cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_33,plain,
midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_34,plain,
( ~ midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_35,plain,
cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1) )],[refute_0_35,refute_0_32]) ).
cnf(refute_0_37,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_36,refute_0_31]) ).
cnf(refute_0_38,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_37,refute_0_30]) ).
cnf(refute_0_39,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_40,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_42,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154) ),
inference(subst,[],[refute_0_41:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(X_153)),bind(Q,$fot(X_154))]]) ).
cnf(refute_0_43,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_40,refute_0_42]) ).
cnf(refute_0_44,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_361,X_362,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_361,X_362),
inference(subst,[],[refute_0_43:[bind(X_153,$fot(X_361)),bind(X_154,$fot(X_362))]]) ).
cnf(refute_0_45,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_46,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_361,X_362,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_361,X_362)
| eqangle(X_361,X_362,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_361,X_362,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_45:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_361)),bind(D,$fot(X_362)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1)),bind(U,$fot(X_361)),bind(V,$fot(X_362))]]) ).
cnf(refute_0_47,plain,
eqangle(X_361,X_362,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_361,X_362,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_361,X_362,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_361,X_362) )],[refute_0_44,refute_0_46]) ).
cnf(refute_0_48,plain,
eqangle(X_369,X_370,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_369,X_370,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_47:[bind(X_361,$fot(X_369)),bind(X_362,$fot(X_370))]]) ).
cnf(refute_0_49,plain,
para(X_369,X_370,X_369,X_370),
inference(resolve,[$cnf( eqangle(X_369,X_370,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_369,X_370,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_48,refute_0_28]) ).
cnf(refute_0_50,plain,
para(X_2318,X_2319,X_2318,X_2319),
inference(subst,[],[refute_0_49:[bind(X_369,$fot(X_2318)),bind(X_370,$fot(X_2319))]]) ).
cnf(refute_0_51,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_52,plain,
( ~ midp(X_2320,X_2318,X_2318)
| ~ para(X_2318,X_2319,X_2318,X_2319)
| midp(X_2320,X_2319,X_2319) ),
inference(subst,[],[refute_0_51:[bind(A,$fot(X_2318)),bind(B,$fot(X_2318)),bind(C,$fot(X_2319)),bind(D,$fot(X_2319)),bind(M,$fot(X_2320))]]) ).
cnf(refute_0_53,plain,
( ~ midp(X_2320,X_2318,X_2318)
| midp(X_2320,X_2319,X_2319) ),
inference(resolve,[$cnf( para(X_2318,X_2319,X_2318,X_2319) )],[refute_0_50,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))
| midp(skolemFOFtoCNF_C_1,X_2319,X_2319) ),
inference(subst,[],[refute_0_53:[bind(X_2318,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))),bind(X_2320,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_55,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))
| ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))),bind(C,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)))]]) ).
cnf(refute_0_56,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_57,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_56:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)))]]) ).
cnf(refute_0_58,plain,
( ~ midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_56:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_59,plain,
midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_33,refute_0_58]) ).
cnf(refute_0_60,plain,
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_61,plain,
( ~ midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_60:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_A1)),bind(N,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_62,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_59,refute_0_61]) ).
cnf(refute_0_63,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_62,refute_0_57]) ).
cnf(refute_0_64,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| ~ perp(skolemFOFtoCNF_C_1,X_2364,X_2364,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),X_2364,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_2364)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)))]]) ).
cnf(refute_0_65,plain,
( ~ perp(skolemFOFtoCNF_C_1,X_2364,X_2364,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),X_2364,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) ),
inference(subst,[],[refute_0_65:[bind(X_2364,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_67,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_68,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_67:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_69,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_70,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_71,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_72,plain,
( ~ cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1)
| circle(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_71:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_73,plain,
( ~ midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_74,plain,
cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_59,refute_0_73]) ).
cnf(refute_0_75,plain,
circle(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1) )],[refute_0_74,refute_0_72]) ).
cnf(refute_0_76,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_77,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_78,plain,
( ~ coll(X_1598,skolemFOFtoCNF_Q_3,C)
| ~ coll(X_1598,skolemFOFtoCNF_Q_3,X_1599)
| coll(C,X_1599,X_1598) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_1598)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(D,$fot(X_1599))]]) ).
cnf(refute_0_79,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_80,plain,
( ~ coll(skolemFOFtoCNF_Q_3,X_1551,X_1552)
| coll(X_1551,skolemFOFtoCNF_Q_3,X_1552) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(X_1551)),bind(C,$fot(X_1552))]]) ).
cnf(refute_0_81,plain,
( ~ coll(X_1527,skolemFOFtoCNF_S,D)
| ~ coll(X_1527,skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3)
| coll(skolemFOFtoCNF_Q_3,D,X_1527) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_1527)),bind(B,$fot(skolemFOFtoCNF_S)),bind(C,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_82,plain,
( ~ coll(skolemFOFtoCNF_S,X_1525,skolemFOFtoCNF_Q_3)
| coll(X_1525,skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_S)),bind(B,$fot(X_1525)),bind(C,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_83,plain,
( ~ coll(skolemFOFtoCNF_S,skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3)
| coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_S)),bind(B,$fot(skolemFOFtoCNF_S)),bind(C,$fot(skolemFOFtoCNF_Q_3)),bind(D,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_84,plain,
coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_A,skolemFOFtoCNF_S),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_85,plain,
( ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_A,skolemFOFtoCNF_S)
| coll(skolemFOFtoCNF_S,skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_S)),bind(D,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_86,plain,
coll(skolemFOFtoCNF_S,skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_A,skolemFOFtoCNF_S) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_S,skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3) )],[refute_0_86,refute_0_83]) ).
cnf(refute_0_88,plain,
( ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,X_1473)
| ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S)
| coll(skolemFOFtoCNF_S,X_1473,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(C,$fot(skolemFOFtoCNF_S)),bind(D,$fot(X_1473))]]) ).
cnf(refute_0_89,plain,
( ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,X_1473)
| coll(skolemFOFtoCNF_S,X_1473,skolemFOFtoCNF_Q_3) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_91,plain,
( ~ coll(X_439,X_438,X_439)
| coll(X_439,X_439,X_438) ),
inference(subst,[],[refute_0_90:[bind(A,$fot(X_439)),bind(B,$fot(X_438)),bind(C,$fot(X_439))]]) ).
cnf(refute_0_92,plain,
( ~ coll(X_436,X_437,X_437)
| coll(X_437,X_436,X_437) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(X_436)),bind(B,$fot(X_437)),bind(C,$fot(X_437))]]) ).
cnf(refute_0_93,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_94,plain,
( ~ para(X_371,X_372,X_371,X_372)
| coll(X_371,X_372,X_372) ),
inference(subst,[],[refute_0_93:[bind(A,$fot(X_371)),bind(B,$fot(X_372)),bind(C,$fot(X_372))]]) ).
cnf(refute_0_95,plain,
para(X_371,X_372,X_371,X_372),
inference(subst,[],[refute_0_49:[bind(X_369,$fot(X_371)),bind(X_370,$fot(X_372))]]) ).
cnf(refute_0_96,plain,
coll(X_371,X_372,X_372),
inference(resolve,[$cnf( para(X_371,X_372,X_371,X_372) )],[refute_0_95,refute_0_94]) ).
cnf(refute_0_97,plain,
coll(X_436,X_437,X_437),
inference(subst,[],[refute_0_96:[bind(X_371,$fot(X_436)),bind(X_372,$fot(X_437))]]) ).
cnf(refute_0_98,plain,
coll(X_437,X_436,X_437),
inference(resolve,[$cnf( coll(X_436,X_437,X_437) )],[refute_0_97,refute_0_92]) ).
cnf(refute_0_99,plain,
coll(X_439,X_438,X_439),
inference(subst,[],[refute_0_98:[bind(X_436,$fot(X_438)),bind(X_437,$fot(X_439))]]) ).
cnf(refute_0_100,plain,
coll(X_439,X_439,X_438),
inference(resolve,[$cnf( coll(X_439,X_438,X_439) )],[refute_0_99,refute_0_91]) ).
cnf(refute_0_101,plain,
coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,X_1473),
inference(subst,[],[refute_0_100:[bind(X_438,$fot(X_1473)),bind(X_439,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_102,plain,
coll(skolemFOFtoCNF_S,X_1473,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,X_1473) )],[refute_0_101,refute_0_89]) ).
cnf(refute_0_103,plain,
coll(skolemFOFtoCNF_S,X_1525,skolemFOFtoCNF_Q_3),
inference(subst,[],[refute_0_102:[bind(X_1473,$fot(X_1525))]]) ).
cnf(refute_0_104,plain,
coll(X_1525,skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_S,X_1525,skolemFOFtoCNF_Q_3) )],[refute_0_103,refute_0_82]) ).
cnf(refute_0_105,plain,
coll(X_1527,skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3),
inference(subst,[],[refute_0_104:[bind(X_1525,$fot(X_1527))]]) ).
cnf(refute_0_106,plain,
( ~ coll(X_1527,skolemFOFtoCNF_S,D)
| coll(skolemFOFtoCNF_Q_3,D,X_1527) ),
inference(resolve,[$cnf( coll(X_1527,skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3) )],[refute_0_105,refute_0_81]) ).
cnf(refute_0_107,plain,
( ~ coll(X_436,X_437,X_437)
| coll(X_437,X_437,X_436) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_436)),bind(B,$fot(X_437)),bind(C,$fot(X_437)),bind(D,$fot(X_437))]]) ).
cnf(refute_0_108,plain,
coll(X_437,X_437,X_436),
inference(resolve,[$cnf( coll(X_436,X_437,X_437) )],[refute_0_97,refute_0_107]) ).
cnf(refute_0_109,plain,
coll(X_1471,X_1471,X_1472),
inference(subst,[],[refute_0_108:[bind(X_436,$fot(X_1472)),bind(X_437,$fot(X_1471))]]) ).
cnf(refute_0_110,plain,
( ~ coll(X_1471,X_1471,X_1472)
| ~ coll(X_1471,X_1471,X_1473)
| coll(X_1472,X_1473,X_1471) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_1471)),bind(B,$fot(X_1471)),bind(C,$fot(X_1472)),bind(D,$fot(X_1473))]]) ).
cnf(refute_0_111,plain,
( ~ coll(X_1471,X_1471,X_1473)
| coll(X_1472,X_1473,X_1471) ),
inference(resolve,[$cnf( coll(X_1471,X_1471,X_1472) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
coll(X_1471,X_1471,X_1473),
inference(subst,[],[refute_0_100:[bind(X_438,$fot(X_1473)),bind(X_439,$fot(X_1471))]]) ).
cnf(refute_0_113,plain,
coll(X_1472,X_1473,X_1471),
inference(resolve,[$cnf( coll(X_1471,X_1471,X_1473) )],[refute_0_112,refute_0_111]) ).
cnf(refute_0_114,plain,
coll(X_1527,skolemFOFtoCNF_S,D),
inference(subst,[],[refute_0_113:[bind(X_1471,$fot(D)),bind(X_1472,$fot(X_1527)),bind(X_1473,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_115,plain,
coll(skolemFOFtoCNF_Q_3,D,X_1527),
inference(resolve,[$cnf( coll(X_1527,skolemFOFtoCNF_S,D) )],[refute_0_114,refute_0_106]) ).
cnf(refute_0_116,plain,
coll(skolemFOFtoCNF_Q_3,X_1551,X_1552),
inference(subst,[],[refute_0_115:[bind(D,$fot(X_1551)),bind(X_1527,$fot(X_1552))]]) ).
cnf(refute_0_117,plain,
coll(X_1551,skolemFOFtoCNF_Q_3,X_1552),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,X_1551,X_1552) )],[refute_0_116,refute_0_80]) ).
cnf(refute_0_118,plain,
coll(X_1598,skolemFOFtoCNF_Q_3,X_1599),
inference(subst,[],[refute_0_117:[bind(X_1551,$fot(X_1598)),bind(X_1552,$fot(X_1599))]]) ).
cnf(refute_0_119,plain,
( ~ coll(X_1598,skolemFOFtoCNF_Q_3,C)
| coll(C,X_1599,X_1598) ),
inference(resolve,[$cnf( coll(X_1598,skolemFOFtoCNF_Q_3,X_1599) )],[refute_0_118,refute_0_78]) ).
cnf(refute_0_120,plain,
( ~ coll(X_1587,skolemFOFtoCNF_C_1,C)
| ~ coll(X_1587,skolemFOFtoCNF_C_1,X_1588)
| coll(C,X_1588,X_1587) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_1587)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1588))]]) ).
cnf(refute_0_121,plain,
( ~ coll(X_1512,skolemFOFtoCNF_A1,C)
| ~ coll(X_1512,skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,X_1512) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_1512)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_122,plain,
( ~ coll(skolemFOFtoCNF_A1,X_1500,skolemFOFtoCNF_C_1)
| coll(X_1500,skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(X_1500)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_123,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_124,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_125,plain,
( ~ midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_124:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_126,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_59,refute_0_125]) ).
cnf(refute_0_127,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_126,refute_0_123]) ).
cnf(refute_0_128,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1473)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1)
| coll(skolemFOFtoCNF_A1,X_1473,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A1)),bind(D,$fot(X_1473))]]) ).
cnf(refute_0_129,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1473)
| coll(skolemFOFtoCNF_A1,X_1473,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1473),
inference(subst,[],[refute_0_100:[bind(X_438,$fot(X_1473)),bind(X_439,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_131,plain,
coll(skolemFOFtoCNF_A1,X_1473,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1473) )],[refute_0_130,refute_0_129]) ).
cnf(refute_0_132,plain,
coll(skolemFOFtoCNF_A1,X_1500,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_131:[bind(X_1473,$fot(X_1500))]]) ).
cnf(refute_0_133,plain,
coll(X_1500,skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,X_1500,skolemFOFtoCNF_C_1) )],[refute_0_132,refute_0_122]) ).
cnf(refute_0_134,plain,
coll(X_1512,skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_133:[bind(X_1500,$fot(X_1512))]]) ).
cnf(refute_0_135,plain,
( ~ coll(X_1512,skolemFOFtoCNF_A1,C)
| coll(C,skolemFOFtoCNF_C_1,X_1512) ),
inference(resolve,[$cnf( coll(X_1512,skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1) )],[refute_0_134,refute_0_121]) ).
cnf(refute_0_136,plain,
coll(X_1512,skolemFOFtoCNF_A1,C),
inference(subst,[],[refute_0_113:[bind(X_1471,$fot(C)),bind(X_1472,$fot(X_1512)),bind(X_1473,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_137,plain,
coll(C,skolemFOFtoCNF_C_1,X_1512),
inference(resolve,[$cnf( coll(X_1512,skolemFOFtoCNF_A1,C) )],[refute_0_136,refute_0_135]) ).
cnf(refute_0_138,plain,
coll(X_1587,skolemFOFtoCNF_C_1,X_1588),
inference(subst,[],[refute_0_137:[bind(C,$fot(X_1587)),bind(X_1512,$fot(X_1588))]]) ).
cnf(refute_0_139,plain,
( ~ coll(X_1587,skolemFOFtoCNF_C_1,C)
| coll(C,X_1588,X_1587) ),
inference(resolve,[$cnf( coll(X_1587,skolemFOFtoCNF_C_1,X_1588) )],[refute_0_138,refute_0_120]) ).
cnf(refute_0_140,plain,
( ~ coll(X_1585,skolemFOFtoCNF_S,C)
| ~ coll(X_1585,skolemFOFtoCNF_S,X_1586)
| coll(C,X_1586,X_1585) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_1585)),bind(B,$fot(skolemFOFtoCNF_S)),bind(D,$fot(X_1586))]]) ).
cnf(refute_0_141,plain,
( ~ coll(X_1580,X_1581,skolemFOFtoCNF_S)
| coll(X_1580,skolemFOFtoCNF_S,X_1581) ),
inference(subst,[],[refute_0_90:[bind(A,$fot(X_1580)),bind(B,$fot(X_1581)),bind(C,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_142,plain,
( ~ coll(skolemFOFtoCNF_S,skolemFOFtoCNF_A,C)
| ~ coll(skolemFOFtoCNF_S,skolemFOFtoCNF_A,X_1509)
| coll(C,X_1509,skolemFOFtoCNF_S) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_S)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1509))]]) ).
cnf(refute_0_143,plain,
( ~ coll(skolemFOFtoCNF_S,X_1489,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_S,skolemFOFtoCNF_A,X_1489) ),
inference(subst,[],[refute_0_90:[bind(A,$fot(skolemFOFtoCNF_S)),bind(B,$fot(X_1489)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_144,plain,
( ~ coll(skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_S) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_S)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_145,plain,
( ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_A,skolemFOFtoCNF_S)
| coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_90:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_146,plain,
coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_A,skolemFOFtoCNF_S) )],[refute_0_84,refute_0_145]) ).
cnf(refute_0_147,plain,
( ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(skolemFOFtoCNF_S)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_148,plain,
coll(skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S,skolemFOFtoCNF_A) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_S),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_A) )],[refute_0_148,refute_0_144]) ).
cnf(refute_0_150,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1473)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_S)
| coll(skolemFOFtoCNF_S,X_1473,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_S)),bind(D,$fot(X_1473))]]) ).
cnf(refute_0_151,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1473)
| coll(skolemFOFtoCNF_S,X_1473,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_S) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1473),
inference(subst,[],[refute_0_100:[bind(X_438,$fot(X_1473)),bind(X_439,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_153,plain,
coll(skolemFOFtoCNF_S,X_1473,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1473) )],[refute_0_152,refute_0_151]) ).
cnf(refute_0_154,plain,
coll(skolemFOFtoCNF_S,X_1489,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_153:[bind(X_1473,$fot(X_1489))]]) ).
cnf(refute_0_155,plain,
coll(skolemFOFtoCNF_S,skolemFOFtoCNF_A,X_1489),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_S,X_1489,skolemFOFtoCNF_A) )],[refute_0_154,refute_0_143]) ).
cnf(refute_0_156,plain,
coll(skolemFOFtoCNF_S,skolemFOFtoCNF_A,X_1509),
inference(subst,[],[refute_0_155:[bind(X_1489,$fot(X_1509))]]) ).
cnf(refute_0_157,plain,
( ~ coll(skolemFOFtoCNF_S,skolemFOFtoCNF_A,C)
| coll(C,X_1509,skolemFOFtoCNF_S) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_S,skolemFOFtoCNF_A,X_1509) )],[refute_0_156,refute_0_142]) ).
cnf(refute_0_158,plain,
coll(skolemFOFtoCNF_S,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_113:[bind(X_1471,$fot(C)),bind(X_1472,$fot(skolemFOFtoCNF_S)),bind(X_1473,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_159,plain,
coll(C,X_1509,skolemFOFtoCNF_S),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_S,skolemFOFtoCNF_A,C) )],[refute_0_158,refute_0_157]) ).
cnf(refute_0_160,plain,
coll(X_1580,X_1581,skolemFOFtoCNF_S),
inference(subst,[],[refute_0_159:[bind(C,$fot(X_1580)),bind(X_1509,$fot(X_1581))]]) ).
cnf(refute_0_161,plain,
coll(X_1580,skolemFOFtoCNF_S,X_1581),
inference(resolve,[$cnf( coll(X_1580,X_1581,skolemFOFtoCNF_S) )],[refute_0_160,refute_0_141]) ).
cnf(refute_0_162,plain,
coll(X_1585,skolemFOFtoCNF_S,X_1586),
inference(subst,[],[refute_0_161:[bind(X_1580,$fot(X_1585)),bind(X_1581,$fot(X_1586))]]) ).
cnf(refute_0_163,plain,
( ~ coll(X_1585,skolemFOFtoCNF_S,C)
| coll(C,X_1586,X_1585) ),
inference(resolve,[$cnf( coll(X_1585,skolemFOFtoCNF_S,X_1586) )],[refute_0_162,refute_0_140]) ).
cnf(refute_0_164,plain,
( ~ coll(X_1569,skolemFOFtoCNF_F,C)
| ~ coll(X_1569,skolemFOFtoCNF_F,X_1570)
| coll(C,X_1570,X_1569) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_1569)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_1570))]]) ).
cnf(refute_0_165,plain,
( ~ coll(X_1565,X_1566,skolemFOFtoCNF_F)
| coll(X_1565,skolemFOFtoCNF_F,X_1566) ),
inference(subst,[],[refute_0_90:[bind(A,$fot(X_1565)),bind(B,$fot(X_1566)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_166,plain,
( ~ coll(skolemFOFtoCNF_F,X_1545,C)
| ~ coll(skolemFOFtoCNF_F,X_1545,X_1546)
| coll(C,X_1546,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(X_1545)),bind(D,$fot(X_1546))]]) ).
cnf(refute_0_167,plain,
( ~ coll(X_1486,skolemFOFtoCNF_A,D)
| ~ coll(X_1486,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,D,X_1486) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_1486)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_168,plain,
( ~ coll(skolemFOFtoCNF_A,X_1478,skolemFOFtoCNF_F)
| coll(X_1478,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1478)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_169,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_170,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_171,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_90:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_172,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_67:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_173,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_174,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_173:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F)),bind(H,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_175,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_67:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_176,plain,
( ~ perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_177,plain,
( ~ perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)) ),
inference(subst,[],[refute_0_67:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_178,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_179,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_67:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_180,plain,
circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_181,plain,
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_182,plain,
( ~ circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_181:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_183,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_180,refute_0_182]) ).
cnf(refute_0_184,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_183,refute_0_179]) ).
cnf(refute_0_185,plain,
perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_184,refute_0_178]) ).
cnf(refute_0_186,plain,
perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A) )],[refute_0_185,refute_0_177]) ).
cnf(refute_0_187,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F)) )],[refute_0_186,refute_0_176]) ).
cnf(refute_0_188,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_187,refute_0_175]) ).
cnf(refute_0_189,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_188,refute_0_174]) ).
cnf(refute_0_190,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_189,refute_0_172]) ).
cnf(refute_0_191,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_76]) ).
cnf(refute_0_192,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_191:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F)),bind(H,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_193,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_190,refute_0_192]) ).
cnf(refute_0_194,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_193,refute_0_171]) ).
cnf(refute_0_195,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_194,refute_0_170]) ).
cnf(refute_0_196,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),skolemFOFtoCNF_F) )],[refute_0_195,refute_0_169]) ).
cnf(refute_0_197,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_1473)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_1473,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1473))]]) ).
cnf(refute_0_198,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_1473)
| coll(skolemFOFtoCNF_A,X_1473,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_1473),
inference(subst,[],[refute_0_100:[bind(X_438,$fot(X_1473)),bind(X_439,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_200,plain,
coll(skolemFOFtoCNF_A,X_1473,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_1473) )],[refute_0_199,refute_0_198]) ).
cnf(refute_0_201,plain,
coll(skolemFOFtoCNF_A,X_1478,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_200:[bind(X_1473,$fot(X_1478))]]) ).
cnf(refute_0_202,plain,
coll(X_1478,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1478,skolemFOFtoCNF_F) )],[refute_0_201,refute_0_168]) ).
cnf(refute_0_203,plain,
coll(X_1486,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_202:[bind(X_1478,$fot(X_1486))]]) ).
cnf(refute_0_204,plain,
( ~ coll(X_1486,skolemFOFtoCNF_A,D)
| coll(skolemFOFtoCNF_F,D,X_1486) ),
inference(resolve,[$cnf( coll(X_1486,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_203,refute_0_167]) ).
cnf(refute_0_205,plain,
coll(X_1486,skolemFOFtoCNF_A,D),
inference(subst,[],[refute_0_113:[bind(X_1471,$fot(D)),bind(X_1472,$fot(X_1486)),bind(X_1473,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_206,plain,
coll(skolemFOFtoCNF_F,D,X_1486),
inference(resolve,[$cnf( coll(X_1486,skolemFOFtoCNF_A,D) )],[refute_0_205,refute_0_204]) ).
cnf(refute_0_207,plain,
coll(skolemFOFtoCNF_F,X_1545,X_1546),
inference(subst,[],[refute_0_206:[bind(D,$fot(X_1545)),bind(X_1486,$fot(X_1546))]]) ).
cnf(refute_0_208,plain,
( ~ coll(skolemFOFtoCNF_F,X_1545,C)
| coll(C,X_1546,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,X_1545,X_1546) )],[refute_0_207,refute_0_166]) ).
cnf(refute_0_209,plain,
coll(skolemFOFtoCNF_F,X_1545,C),
inference(subst,[],[refute_0_113:[bind(X_1471,$fot(C)),bind(X_1472,$fot(skolemFOFtoCNF_F)),bind(X_1473,$fot(X_1545))]]) ).
cnf(refute_0_210,plain,
coll(C,X_1546,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,X_1545,C) )],[refute_0_209,refute_0_208]) ).
cnf(refute_0_211,plain,
coll(X_1565,X_1566,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_210:[bind(C,$fot(X_1565)),bind(X_1546,$fot(X_1566))]]) ).
cnf(refute_0_212,plain,
coll(X_1565,skolemFOFtoCNF_F,X_1566),
inference(resolve,[$cnf( coll(X_1565,X_1566,skolemFOFtoCNF_F) )],[refute_0_211,refute_0_165]) ).
cnf(refute_0_213,plain,
coll(X_1569,skolemFOFtoCNF_F,X_1570),
inference(subst,[],[refute_0_212:[bind(X_1565,$fot(X_1569)),bind(X_1566,$fot(X_1570))]]) ).
cnf(refute_0_214,plain,
( ~ coll(X_1569,skolemFOFtoCNF_F,C)
| coll(C,X_1570,X_1569) ),
inference(resolve,[$cnf( coll(X_1569,skolemFOFtoCNF_F,X_1570) )],[refute_0_213,refute_0_164]) ).
cnf(refute_0_215,plain,
( ~ coll(X_1563,skolemFOFtoCNF_A,C)
| ~ coll(X_1563,skolemFOFtoCNF_A,X_1564)
| coll(C,X_1564,X_1563) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_1563)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1564))]]) ).
cnf(refute_0_216,plain,
( ~ coll(skolemFOFtoCNF_A,X_1543,X_1544)
| coll(X_1543,skolemFOFtoCNF_A,X_1544) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1543)),bind(C,$fot(X_1544))]]) ).
cnf(refute_0_217,plain,
( ~ coll(X_1504,skolemFOFtoCNF_F,D)
| ~ coll(X_1504,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,D,X_1504) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_1504)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_218,plain,
( ~ coll(skolemFOFtoCNF_A,X_1478,C)
| ~ coll(skolemFOFtoCNF_A,X_1478,skolemFOFtoCNF_F)
| coll(C,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1478)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_219,plain,
( ~ coll(skolemFOFtoCNF_A,X_1478,C)
| coll(C,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1478,skolemFOFtoCNF_F) )],[refute_0_201,refute_0_218]) ).
cnf(refute_0_220,plain,
coll(skolemFOFtoCNF_A,X_1478,C),
inference(subst,[],[refute_0_113:[bind(X_1471,$fot(C)),bind(X_1472,$fot(skolemFOFtoCNF_A)),bind(X_1473,$fot(X_1478))]]) ).
cnf(refute_0_221,plain,
coll(C,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1478,C) )],[refute_0_220,refute_0_219]) ).
cnf(refute_0_222,plain,
coll(X_1504,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_221:[bind(C,$fot(X_1504))]]) ).
cnf(refute_0_223,plain,
( ~ coll(X_1504,skolemFOFtoCNF_F,D)
| coll(skolemFOFtoCNF_A,D,X_1504) ),
inference(resolve,[$cnf( coll(X_1504,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_222,refute_0_217]) ).
cnf(refute_0_224,plain,
coll(X_1504,skolemFOFtoCNF_F,D),
inference(subst,[],[refute_0_113:[bind(X_1471,$fot(D)),bind(X_1472,$fot(X_1504)),bind(X_1473,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_225,plain,
coll(skolemFOFtoCNF_A,D,X_1504),
inference(resolve,[$cnf( coll(X_1504,skolemFOFtoCNF_F,D) )],[refute_0_224,refute_0_223]) ).
cnf(refute_0_226,plain,
coll(skolemFOFtoCNF_A,X_1543,X_1544),
inference(subst,[],[refute_0_225:[bind(D,$fot(X_1543)),bind(X_1504,$fot(X_1544))]]) ).
cnf(refute_0_227,plain,
coll(X_1543,skolemFOFtoCNF_A,X_1544),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1543,X_1544) )],[refute_0_226,refute_0_216]) ).
cnf(refute_0_228,plain,
coll(X_1563,skolemFOFtoCNF_A,X_1564),
inference(subst,[],[refute_0_227:[bind(X_1543,$fot(X_1563)),bind(X_1544,$fot(X_1564))]]) ).
cnf(refute_0_229,plain,
( ~ coll(X_1563,skolemFOFtoCNF_A,C)
| coll(C,X_1564,X_1563) ),
inference(resolve,[$cnf( coll(X_1563,skolemFOFtoCNF_A,X_1564) )],[refute_0_228,refute_0_215]) ).
cnf(refute_0_230,plain,
( ~ coll(X_1558,skolemFOFtoCNF_P_8,C)
| ~ coll(X_1558,skolemFOFtoCNF_P_8,X_1559)
| coll(C,X_1559,X_1558) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_1558)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(X_1559))]]) ).
cnf(refute_0_231,plain,
( ~ coll(X_1502,skolemFOFtoCNF_A1,C)
| ~ coll(X_1502,skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8)
| coll(C,skolemFOFtoCNF_P_8,X_1502) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_1502)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_232,plain,
( ~ coll(skolemFOFtoCNF_P_8,X_1499,C)
| ~ coll(skolemFOFtoCNF_P_8,X_1499,skolemFOFtoCNF_A1)
| coll(C,skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(X_1499)),bind(D,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_233,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A1),
inference(canonicalize,[],[normalize_0_77]) ).
cnf(refute_0_234,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A1)
| coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A1)),bind(D,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_235,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A1) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,X_1473)
| ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_P_8,X_1473,skolemFOFtoCNF_A1) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(X_1473))]]) ).
cnf(refute_0_237,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,X_1473)
| coll(skolemFOFtoCNF_P_8,X_1473,skolemFOFtoCNF_A1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,X_1473),
inference(subst,[],[refute_0_100:[bind(X_438,$fot(X_1473)),bind(X_439,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_239,plain,
coll(skolemFOFtoCNF_P_8,X_1473,skolemFOFtoCNF_A1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,X_1473) )],[refute_0_238,refute_0_237]) ).
cnf(refute_0_240,plain,
coll(skolemFOFtoCNF_P_8,X_1499,skolemFOFtoCNF_A1),
inference(subst,[],[refute_0_239:[bind(X_1473,$fot(X_1499))]]) ).
cnf(refute_0_241,plain,
( ~ coll(skolemFOFtoCNF_P_8,X_1499,C)
| coll(C,skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,X_1499,skolemFOFtoCNF_A1) )],[refute_0_240,refute_0_232]) ).
cnf(refute_0_242,plain,
coll(skolemFOFtoCNF_P_8,X_1499,C),
inference(subst,[],[refute_0_113:[bind(X_1471,$fot(C)),bind(X_1472,$fot(skolemFOFtoCNF_P_8)),bind(X_1473,$fot(X_1499))]]) ).
cnf(refute_0_243,plain,
coll(C,skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,X_1499,C) )],[refute_0_242,refute_0_241]) ).
cnf(refute_0_244,plain,
coll(X_1502,skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8),
inference(subst,[],[refute_0_243:[bind(C,$fot(X_1502))]]) ).
cnf(refute_0_245,plain,
( ~ coll(X_1502,skolemFOFtoCNF_A1,C)
| coll(C,skolemFOFtoCNF_P_8,X_1502) ),
inference(resolve,[$cnf( coll(X_1502,skolemFOFtoCNF_A1,skolemFOFtoCNF_P_8) )],[refute_0_244,refute_0_231]) ).
cnf(refute_0_246,plain,
coll(X_1502,skolemFOFtoCNF_A1,C),
inference(subst,[],[refute_0_113:[bind(X_1471,$fot(C)),bind(X_1472,$fot(X_1502)),bind(X_1473,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_247,plain,
coll(C,skolemFOFtoCNF_P_8,X_1502),
inference(resolve,[$cnf( coll(X_1502,skolemFOFtoCNF_A1,C) )],[refute_0_246,refute_0_245]) ).
cnf(refute_0_248,plain,
coll(X_1558,skolemFOFtoCNF_P_8,X_1559),
inference(subst,[],[refute_0_247:[bind(C,$fot(X_1558)),bind(X_1502,$fot(X_1559))]]) ).
cnf(refute_0_249,plain,
( ~ coll(X_1558,skolemFOFtoCNF_P_8,C)
| coll(C,X_1559,X_1558) ),
inference(resolve,[$cnf( coll(X_1558,skolemFOFtoCNF_P_8,X_1559) )],[refute_0_248,refute_0_230]) ).
cnf(refute_0_250,plain,
( ~ coll(X_1556,skolemFOFtoCNF_A1,C)
| ~ coll(X_1556,skolemFOFtoCNF_A1,X_1557)
| coll(C,X_1557,X_1556) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_1556)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(D,$fot(X_1557))]]) ).
cnf(refute_0_251,plain,
( ~ coll(X_1537,X_1538,skolemFOFtoCNF_A1)
| coll(X_1537,skolemFOFtoCNF_A1,X_1538) ),
inference(subst,[],[refute_0_90:[bind(A,$fot(X_1537)),bind(B,$fot(X_1538)),bind(C,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_252,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,C)
| ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,X_1517)
| coll(C,X_1517,skolemFOFtoCNF_A1) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1517))]]) ).
cnf(refute_0_253,plain,
( ~ coll(skolemFOFtoCNF_A1,X_1516,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,X_1516) ),
inference(subst,[],[refute_0_90:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(X_1516)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_254,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_255,plain,
( ~ midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_124:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_256,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_33,refute_0_255]) ).
cnf(refute_0_257,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_256,refute_0_254]) ).
cnf(refute_0_258,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1473)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1)
| coll(skolemFOFtoCNF_A1,X_1473,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A1)),bind(D,$fot(X_1473))]]) ).
cnf(refute_0_259,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1473)
| coll(skolemFOFtoCNF_A1,X_1473,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1473),
inference(subst,[],[refute_0_100:[bind(X_438,$fot(X_1473)),bind(X_439,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_261,plain,
coll(skolemFOFtoCNF_A1,X_1473,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1473) )],[refute_0_260,refute_0_259]) ).
cnf(refute_0_262,plain,
coll(skolemFOFtoCNF_A1,X_1516,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_261:[bind(X_1473,$fot(X_1516))]]) ).
cnf(refute_0_263,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,X_1516),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,X_1516,skolemFOFtoCNF_B_1) )],[refute_0_262,refute_0_253]) ).
cnf(refute_0_264,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,X_1517),
inference(subst,[],[refute_0_263:[bind(X_1516,$fot(X_1517))]]) ).
cnf(refute_0_265,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,C)
| coll(C,X_1517,skolemFOFtoCNF_A1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,X_1517) )],[refute_0_264,refute_0_252]) ).
cnf(refute_0_266,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_113:[bind(X_1471,$fot(C)),bind(X_1472,$fot(skolemFOFtoCNF_A1)),bind(X_1473,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_267,plain,
coll(C,X_1517,skolemFOFtoCNF_A1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,C) )],[refute_0_266,refute_0_265]) ).
cnf(refute_0_268,plain,
coll(X_1537,X_1538,skolemFOFtoCNF_A1),
inference(subst,[],[refute_0_267:[bind(C,$fot(X_1537)),bind(X_1517,$fot(X_1538))]]) ).
cnf(refute_0_269,plain,
coll(X_1537,skolemFOFtoCNF_A1,X_1538),
inference(resolve,[$cnf( coll(X_1537,X_1538,skolemFOFtoCNF_A1) )],[refute_0_268,refute_0_251]) ).
cnf(refute_0_270,plain,
coll(X_1556,skolemFOFtoCNF_A1,X_1557),
inference(subst,[],[refute_0_269:[bind(X_1537,$fot(X_1556)),bind(X_1538,$fot(X_1557))]]) ).
cnf(refute_0_271,plain,
( ~ coll(X_1556,skolemFOFtoCNF_A1,C)
| coll(C,X_1557,X_1556) ),
inference(resolve,[$cnf( coll(X_1556,skolemFOFtoCNF_A1,X_1557) )],[refute_0_270,refute_0_250]) ).
cnf(refute_0_272,plain,
( ~ coll(X_1547,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1547,skolemFOFtoCNF_B_1,X_1548)
| coll(C,X_1548,X_1547) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_1547)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1548))]]) ).
cnf(refute_0_273,plain,
( ~ coll(X_1510,skolemFOFtoCNF_C_1,C)
| ~ coll(X_1510,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_1510) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_1510)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_274,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_1490,skolemFOFtoCNF_B_1)
| coll(X_1490,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1490)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_275,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_S,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_S)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_276,plain,
coll(skolemFOFtoCNF_S,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_78]) ).
cnf(refute_0_277,plain,
( ~ coll(skolemFOFtoCNF_S,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_S,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_90:[bind(A,$fot(skolemFOFtoCNF_S)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_278,plain,
coll(skolemFOFtoCNF_S,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_S,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
( ~ coll(skolemFOFtoCNF_S,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_S,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_S)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_280,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_S,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_S,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_S,skolemFOFtoCNF_B_1) )],[refute_0_280,refute_0_275]) ).
cnf(refute_0_282,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1473)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_1473,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1473))]]) ).
cnf(refute_0_283,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1473)
| coll(skolemFOFtoCNF_C_1,X_1473,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
coll(skolemFOFtoCNF_C_1,X_1473,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1473) )],[refute_0_260,refute_0_283]) ).
cnf(refute_0_285,plain,
coll(skolemFOFtoCNF_C_1,X_1490,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_284:[bind(X_1473,$fot(X_1490))]]) ).
cnf(refute_0_286,plain,
coll(X_1490,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_1490,skolemFOFtoCNF_B_1) )],[refute_0_285,refute_0_274]) ).
cnf(refute_0_287,plain,
coll(X_1510,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_286:[bind(X_1490,$fot(X_1510))]]) ).
cnf(refute_0_288,plain,
( ~ coll(X_1510,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_B_1,X_1510) ),
inference(resolve,[$cnf( coll(X_1510,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_287,refute_0_273]) ).
cnf(refute_0_289,plain,
coll(X_1510,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_113:[bind(X_1471,$fot(C)),bind(X_1472,$fot(X_1510)),bind(X_1473,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_290,plain,
coll(C,skolemFOFtoCNF_B_1,X_1510),
inference(resolve,[$cnf( coll(X_1510,skolemFOFtoCNF_C_1,C) )],[refute_0_289,refute_0_288]) ).
cnf(refute_0_291,plain,
coll(X_1547,skolemFOFtoCNF_B_1,X_1548),
inference(subst,[],[refute_0_290:[bind(C,$fot(X_1547)),bind(X_1510,$fot(X_1548))]]) ).
cnf(refute_0_292,plain,
( ~ coll(X_1547,skolemFOFtoCNF_B_1,C)
| coll(C,X_1548,X_1547) ),
inference(resolve,[$cnf( coll(X_1547,skolemFOFtoCNF_B_1,X_1548) )],[refute_0_291,refute_0_272]) ).
cnf(refute_0_293,plain,
coll(X_1547,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_113:[bind(X_1471,$fot(C)),bind(X_1472,$fot(X_1547)),bind(X_1473,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_294,plain,
coll(C,X_1548,X_1547),
inference(resolve,[$cnf( coll(X_1547,skolemFOFtoCNF_B_1,C) )],[refute_0_293,refute_0_292]) ).
cnf(refute_0_295,plain,
coll(X_1556,skolemFOFtoCNF_A1,C),
inference(subst,[],[refute_0_294:[bind(C,$fot(X_1556)),bind(X_1547,$fot(C)),bind(X_1548,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_296,plain,
coll(C,X_1557,X_1556),
inference(resolve,[$cnf( coll(X_1556,skolemFOFtoCNF_A1,C) )],[refute_0_295,refute_0_271]) ).
cnf(refute_0_297,plain,
coll(X_1558,skolemFOFtoCNF_P_8,C),
inference(subst,[],[refute_0_296:[bind(C,$fot(X_1558)),bind(X_1556,$fot(C)),bind(X_1557,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_298,plain,
coll(C,X_1559,X_1558),
inference(resolve,[$cnf( coll(X_1558,skolemFOFtoCNF_P_8,C) )],[refute_0_297,refute_0_249]) ).
cnf(refute_0_299,plain,
coll(X_1563,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_298:[bind(C,$fot(X_1563)),bind(X_1558,$fot(C)),bind(X_1559,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_300,plain,
coll(C,X_1564,X_1563),
inference(resolve,[$cnf( coll(X_1563,skolemFOFtoCNF_A,C) )],[refute_0_299,refute_0_229]) ).
cnf(refute_0_301,plain,
coll(X_1569,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_300:[bind(C,$fot(X_1569)),bind(X_1563,$fot(C)),bind(X_1564,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_302,plain,
coll(C,X_1570,X_1569),
inference(resolve,[$cnf( coll(X_1569,skolemFOFtoCNF_F,C) )],[refute_0_301,refute_0_214]) ).
cnf(refute_0_303,plain,
coll(X_1585,skolemFOFtoCNF_S,C),
inference(subst,[],[refute_0_302:[bind(C,$fot(X_1585)),bind(X_1569,$fot(C)),bind(X_1570,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_304,plain,
coll(C,X_1586,X_1585),
inference(resolve,[$cnf( coll(X_1585,skolemFOFtoCNF_S,C) )],[refute_0_303,refute_0_163]) ).
cnf(refute_0_305,plain,
coll(X_1587,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_304:[bind(C,$fot(X_1587)),bind(X_1585,$fot(C)),bind(X_1586,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_306,plain,
coll(C,X_1588,X_1587),
inference(resolve,[$cnf( coll(X_1587,skolemFOFtoCNF_C_1,C) )],[refute_0_305,refute_0_139]) ).
cnf(refute_0_307,plain,
coll(X_1598,skolemFOFtoCNF_Q_3,C),
inference(subst,[],[refute_0_306:[bind(C,$fot(X_1598)),bind(X_1587,$fot(C)),bind(X_1588,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_308,plain,
coll(C,X_1599,X_1598),
inference(resolve,[$cnf( coll(X_1598,skolemFOFtoCNF_Q_3,C) )],[refute_0_307,refute_0_119]) ).
cnf(refute_0_309,plain,
coll(O,A,C),
inference(subst,[],[refute_0_308:[bind(C,$fot(O)),bind(X_1598,$fot(C)),bind(X_1599,$fot(A))]]) ).
cnf(refute_0_310,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_309,refute_0_76]) ).
cnf(refute_0_311,plain,
( ~ circle(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_310:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_312,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_75,refute_0_311]) ).
cnf(refute_0_313,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_312,refute_0_70]) ).
cnf(refute_0_314,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_313,refute_0_68]) ).
cnf(refute_0_315,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_314,refute_0_66]) ).
cnf(refute_0_316,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) )],[refute_0_315,refute_0_55]) ).
cnf(refute_0_317,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)),
inference(subst,[],[refute_0_308:[bind(C,$fot(skolemFOFtoCNF_C_1)),bind(X_1598,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))),bind(X_1599,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)))]]) ).
cnf(refute_0_318,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) )],[refute_0_317,refute_0_316]) ).
cnf(refute_0_319,plain,
midp(skolemFOFtoCNF_C_1,X_2319,X_2319),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) )],[refute_0_318,refute_0_54]) ).
cnf(refute_0_320,plain,
midp(skolemFOFtoCNF_C_1,X_2424,X_2424),
inference(subst,[],[refute_0_319:[bind(X_2319,$fot(X_2424))]]) ).
cnf(refute_0_321,plain,
( ~ coll(X_2424,X_2424,X_2424)
| midp(skolemFOFtoCNF_P_1(X_2424,Q),X_2424,Q) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,X_2424,X_2424) )],[refute_0_320,refute_0_26]) ).
cnf(refute_0_322,plain,
coll(X_2424,X_2424,X_2424),
inference(subst,[],[refute_0_308:[bind(C,$fot(X_2424)),bind(X_1598,$fot(X_2424)),bind(X_1599,$fot(X_2424))]]) ).
cnf(refute_0_323,plain,
midp(skolemFOFtoCNF_P_1(X_2424,Q),X_2424,Q),
inference(resolve,[$cnf( coll(X_2424,X_2424,X_2424) )],[refute_0_322,refute_0_321]) ).
cnf(refute_0_324,plain,
midp(skolemFOFtoCNF_P_1(X_2448,X_2447),X_2448,X_2447),
inference(subst,[],[refute_0_323:[bind(Q,$fot(X_2447)),bind(X_2424,$fot(X_2448))]]) ).
cnf(refute_0_325,plain,
cong(skolemFOFtoCNF_P_1(X_2448,X_2447),X_2448,skolemFOFtoCNF_P_1(X_2448,X_2447),X_2447),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_2448,X_2447),X_2448,X_2447) )],[refute_0_324,refute_0_24]) ).
cnf(refute_0_326,plain,
cong(skolemFOFtoCNF_P_1(X_5758,X_5757),X_5758,skolemFOFtoCNF_P_1(X_5758,X_5757),X_5757),
inference(subst,[],[refute_0_325:[bind(X_2447,$fot(X_5757)),bind(X_2448,$fot(X_5758))]]) ).
cnf(refute_0_327,plain,
cyclic(X_5758,X_5757,X_5757,X_5757),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_5758,X_5757),X_5758,skolemFOFtoCNF_P_1(X_5758,X_5757),X_5757) )],[refute_0_326,refute_0_22]) ).
cnf(refute_0_328,plain,
cyclic(X_5760,X_5759,X_5759,X_5759),
inference(subst,[],[refute_0_327:[bind(X_5757,$fot(X_5759)),bind(X_5758,$fot(X_5760))]]) ).
cnf(refute_0_329,plain,
cyclic(X_5759,X_5760,X_5759,X_5759),
inference(resolve,[$cnf( cyclic(X_5760,X_5759,X_5759,X_5759) )],[refute_0_328,refute_0_20]) ).
cnf(refute_0_330,plain,
cyclic(X_5761,X_5762,X_5761,X_5761),
inference(subst,[],[refute_0_329:[bind(X_5759,$fot(X_5761)),bind(X_5760,$fot(X_5762))]]) ).
cnf(refute_0_331,plain,
cyclic(X_5761,X_5761,X_5762,X_5761),
inference(resolve,[$cnf( cyclic(X_5761,X_5762,X_5761,X_5761) )],[refute_0_330,refute_0_18]) ).
cnf(refute_0_332,plain,
cyclic(X_5763,X_5763,X_5764,X_5763),
inference(subst,[],[refute_0_331:[bind(X_5761,$fot(X_5763)),bind(X_5762,$fot(X_5764))]]) ).
cnf(refute_0_333,plain,
cyclic(X_5763,X_5763,X_5763,X_5764),
inference(resolve,[$cnf( cyclic(X_5763,X_5763,X_5764,X_5763) )],[refute_0_332,refute_0_16]) ).
cnf(refute_0_334,plain,
cyclic(X_5765,X_5765,X_5765,X_5766),
inference(subst,[],[refute_0_333:[bind(X_5763,$fot(X_5765)),bind(X_5764,$fot(X_5766))]]) ).
cnf(refute_0_335,plain,
cyclic(X_5765,X_5765,X_5766,X_5766),
inference(resolve,[$cnf( cyclic(X_5765,X_5765,X_5765,X_5766) )],[refute_0_334,refute_0_14]) ).
cnf(refute_0_336,plain,
cyclic(X_5767,X_5767,X_5768,X_5768),
inference(subst,[],[refute_0_335:[bind(X_5765,$fot(X_5767)),bind(X_5766,$fot(X_5768))]]) ).
cnf(refute_0_337,plain,
( ~ cong(X_5767,X_5768,X_5767,X_5768)
| perp(X_5768,X_5767,X_5767,X_5768) ),
inference(resolve,[$cnf( cyclic(X_5767,X_5767,X_5768,X_5768) )],[refute_0_336,refute_0_12]) ).
cnf(refute_0_338,plain,
( ~ midp(X_2438,X_2437,X_2437)
| cong(X_2438,X_2437,X_2438,X_2437) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_2438)),bind(B,$fot(X_2437)),bind(C,$fot(X_2437))]]) ).
cnf(refute_0_339,plain,
( ~ midp(X_2436,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(X_2436,X_2319,X_2319) ),
inference(subst,[],[refute_0_53:[bind(X_2318,$fot(skolemFOFtoCNF_C_1)),bind(X_2320,$fot(X_2436))]]) ).
cnf(refute_0_340,plain,
( ~ coll(X_2435,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| ~ cong(X_2435,skolemFOFtoCNF_C_1,X_2435,skolemFOFtoCNF_C_1)
| midp(X_2435,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_2435)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_341,plain,
( ~ cong(X_2434,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_2434)
| cong(X_2434,skolemFOFtoCNF_C_1,X_2434,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_2434)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_2434))]]) ).
cnf(refute_0_342,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_2427,X_2427,skolemFOFtoCNF_C_1)
| cong(X_2427,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_2427) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_2427)),bind(C,$fot(X_2427)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_343,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_2426,skolemFOFtoCNF_C_1,X_2426)
| cong(skolemFOFtoCNF_C_1,X_2426,X_2426,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_2426)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_2426))]]) ).
cnf(refute_0_344,plain,
( ~ midp(skolemFOFtoCNF_C_1,X_2424,X_2424)
| cong(skolemFOFtoCNF_C_1,X_2424,skolemFOFtoCNF_C_1,X_2424) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_2424)),bind(C,$fot(X_2424))]]) ).
cnf(refute_0_345,plain,
cong(skolemFOFtoCNF_C_1,X_2424,skolemFOFtoCNF_C_1,X_2424),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,X_2424,X_2424) )],[refute_0_320,refute_0_344]) ).
cnf(refute_0_346,plain,
cong(skolemFOFtoCNF_C_1,X_2426,skolemFOFtoCNF_C_1,X_2426),
inference(subst,[],[refute_0_345:[bind(X_2424,$fot(X_2426))]]) ).
cnf(refute_0_347,plain,
cong(skolemFOFtoCNF_C_1,X_2426,X_2426,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_2426,skolemFOFtoCNF_C_1,X_2426) )],[refute_0_346,refute_0_343]) ).
cnf(refute_0_348,plain,
cong(skolemFOFtoCNF_C_1,X_2427,X_2427,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_347:[bind(X_2426,$fot(X_2427))]]) ).
cnf(refute_0_349,plain,
cong(X_2427,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_2427),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_2427,X_2427,skolemFOFtoCNF_C_1) )],[refute_0_348,refute_0_342]) ).
cnf(refute_0_350,plain,
cong(X_2434,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_2434),
inference(subst,[],[refute_0_349:[bind(X_2427,$fot(X_2434))]]) ).
cnf(refute_0_351,plain,
cong(X_2434,skolemFOFtoCNF_C_1,X_2434,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(X_2434,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_2434) )],[refute_0_350,refute_0_341]) ).
cnf(refute_0_352,plain,
cong(X_2435,skolemFOFtoCNF_C_1,X_2435,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_351:[bind(X_2434,$fot(X_2435))]]) ).
cnf(refute_0_353,plain,
( ~ coll(X_2435,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(X_2435,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( cong(X_2435,skolemFOFtoCNF_C_1,X_2435,skolemFOFtoCNF_C_1) )],[refute_0_352,refute_0_340]) ).
cnf(refute_0_354,plain,
coll(X_2435,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_308:[bind(C,$fot(X_2435)),bind(X_1598,$fot(skolemFOFtoCNF_C_1)),bind(X_1599,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_355,plain,
midp(X_2435,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(X_2435,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_354,refute_0_353]) ).
cnf(refute_0_356,plain,
midp(X_2436,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_355:[bind(X_2435,$fot(X_2436))]]) ).
cnf(refute_0_357,plain,
midp(X_2436,X_2319,X_2319),
inference(resolve,[$cnf( midp(X_2436,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_356,refute_0_339]) ).
cnf(refute_0_358,plain,
midp(X_2438,X_2437,X_2437),
inference(subst,[],[refute_0_357:[bind(X_2319,$fot(X_2437)),bind(X_2436,$fot(X_2438))]]) ).
cnf(refute_0_359,plain,
cong(X_2438,X_2437,X_2438,X_2437),
inference(resolve,[$cnf( midp(X_2438,X_2437,X_2437) )],[refute_0_358,refute_0_338]) ).
cnf(refute_0_360,plain,
cong(X_5767,X_5768,X_5767,X_5768),
inference(subst,[],[refute_0_359:[bind(X_2437,$fot(X_5768)),bind(X_2438,$fot(X_5767))]]) ).
cnf(refute_0_361,plain,
perp(X_5768,X_5767,X_5767,X_5768),
inference(resolve,[$cnf( cong(X_5767,X_5768,X_5767,X_5768) )],[refute_0_360,refute_0_337]) ).
cnf(refute_0_362,plain,
perp(X_5770,X_5769,X_5769,X_5770),
inference(subst,[],[refute_0_361:[bind(X_5767,$fot(X_5769)),bind(X_5768,$fot(X_5770))]]) ).
cnf(refute_0_363,plain,
( ~ midp(M,X_5770,X_5770)
| cong(X_5770,M,X_5769,M) ),
inference(resolve,[$cnf( perp(X_5770,X_5769,X_5769,X_5770) )],[refute_0_362,refute_0_10]) ).
cnf(refute_0_364,plain,
midp(M,X_5770,X_5770),
inference(subst,[],[refute_0_357:[bind(X_2319,$fot(X_5770)),bind(X_2436,$fot(M))]]) ).
cnf(refute_0_365,plain,
cong(X_5770,M,X_5769,M),
inference(resolve,[$cnf( midp(M,X_5770,X_5770) )],[refute_0_364,refute_0_363]) ).
cnf(refute_0_366,plain,
cong(X_5789,X_5787,X_5788,X_5787),
inference(subst,[],[refute_0_365:[bind(M,$fot(X_5787)),bind(X_5769,$fot(X_5788)),bind(X_5770,$fot(X_5789))]]) ).
cnf(refute_0_367,plain,
cong(X_5789,X_5787,X_5787,X_5788),
inference(resolve,[$cnf( cong(X_5789,X_5787,X_5788,X_5787) )],[refute_0_366,refute_0_8]) ).
cnf(refute_0_368,plain,
cong(X_5792,X_5790,X_5790,X_5791),
inference(subst,[],[refute_0_367:[bind(X_5787,$fot(X_5790)),bind(X_5788,$fot(X_5791)),bind(X_5789,$fot(X_5792))]]) ).
cnf(refute_0_369,plain,
cong(X_5790,X_5791,X_5792,X_5790),
inference(resolve,[$cnf( cong(X_5792,X_5790,X_5790,X_5791) )],[refute_0_368,refute_0_7]) ).
cnf(refute_0_370,plain,
cong(X_5813,X_5814,X_5815,X_5813),
inference(subst,[],[refute_0_369:[bind(X_5790,$fot(X_5813)),bind(X_5791,$fot(X_5814)),bind(X_5792,$fot(X_5815))]]) ).
cnf(refute_0_371,plain,
cong(X_5813,X_5814,X_5813,X_5815),
inference(resolve,[$cnf( cong(X_5813,X_5814,X_5815,X_5813) )],[refute_0_370,refute_0_5]) ).
cnf(refute_0_372,plain,
cong(X_5878,X_5879,X_5878,X_5880),
inference(subst,[],[refute_0_371:[bind(X_5813,$fot(X_5878)),bind(X_5814,$fot(X_5879)),bind(X_5815,$fot(X_5880))]]) ).
cnf(refute_0_373,plain,
( ~ coll(X_5878,X_5879,X_5880)
| midp(X_5878,X_5879,X_5880) ),
inference(resolve,[$cnf( cong(X_5878,X_5879,X_5878,X_5880) )],[refute_0_372,refute_0_3]) ).
cnf(refute_0_374,plain,
coll(X_5878,X_5879,X_5880),
inference(subst,[],[refute_0_308:[bind(C,$fot(X_5878)),bind(X_1598,$fot(X_5880)),bind(X_1599,$fot(X_5879))]]) ).
cnf(refute_0_375,plain,
midp(X_5878,X_5879,X_5880),
inference(resolve,[$cnf( coll(X_5878,X_5879,X_5880) )],[refute_0_374,refute_0_373]) ).
cnf(refute_0_376,plain,
midp(E,A,B),
inference(subst,[],[refute_0_375:[bind(X_5878,$fot(E)),bind(X_5879,$fot(A)),bind(X_5880,$fot(B))]]) ).
cnf(refute_0_377,plain,
( ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(resolve,[$cnf( midp(E,A,B) )],[refute_0_376,refute_0_1]) ).
cnf(refute_0_378,plain,
midp(F,A,C),
inference(subst,[],[refute_0_375:[bind(X_5878,$fot(F)),bind(X_5879,$fot(A)),bind(X_5880,$fot(C))]]) ).
cnf(refute_0_379,plain,
para(E,F,B,C),
inference(resolve,[$cnf( midp(F,A,C) )],[refute_0_378,refute_0_377]) ).
cnf(refute_0_380,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_Q_3),
inference(subst,[],[refute_0_379:[bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_Q_3)),bind(E,$fot(skolemFOFtoCNF_B_1)),bind(F,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_381,plain,
$false,
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_Q_3) )],[refute_0_380,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO632+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.32 % Computer : n022.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Fri Jun 17 20:39:47 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.13/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 46.48/46.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.48/46.67
% 46.48/46.67 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 46.48/46.70
%------------------------------------------------------------------------------