TSTP Solution File: GEO543+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO543+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 05:27:05 EDT 2022
% Result : Theorem 69.08s 69.25s
% Output : CNFRefutation 69.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 76
% Number of leaves : 29
% Syntax : Number of formulae : 361 ( 142 unt; 0 def)
% Number of atoms : 733 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 642 ( 270 ~; 265 |; 76 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-6 aty)
% Number of variables : 901 ( 128 sgn 424 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ) ).
fof(ruleD7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ) ).
fof(ruleD8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C) )
=> circle(O,A,B,C) ) ).
fof(ruleD13,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C)
& cong(O,A,O,D) )
=> cyclic(A,B,C,D) ) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ) ).
fof(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ) ).
fof(ruleD53,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ) ).
fof(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(exemplo6GDDFULL012003,conjecture,
! [A,B,C,D,E,F,H,A1,P,Q] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& perp(E,B,A,C)
& coll(E,A,C)
& perp(F,C,A,B)
& coll(F,A,B)
& coll(H,B,E)
& coll(H,C,F)
& midp(A1,C,B)
& midp(P,E,B)
& midp(Q,F,C) )
=> cyclic(P,Q,H,D) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E,F,H,A1,P,Q] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& perp(E,B,A,C)
& coll(E,A,C)
& perp(F,C,A,B)
& coll(F,A,B)
& coll(H,B,E)
& coll(H,C,F)
& midp(A1,C,B)
& midp(P,E,B)
& midp(Q,F,C) )
=> cyclic(P,Q,H,D) ),
inference(strip,[],[exemplo6GDDFULL012003]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E,F,H,A1,P,Q] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& perp(E,B,A,C)
& coll(E,A,C)
& perp(F,C,A,B)
& coll(F,A,B)
& coll(H,B,E)
& coll(H,C,F)
& midp(A1,C,B)
& midp(P,E,B)
& midp(Q,F,C) )
=> cyclic(P,Q,H,D) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,A1,B,C,D,E,F,H,P,Q] :
( ~ cyclic(P,Q,H,D)
& coll(D,B,C)
& coll(E,A,C)
& coll(F,A,B)
& coll(H,B,E)
& coll(H,C,F)
& midp(A1,C,B)
& midp(P,E,B)
& midp(Q,F,C)
& perp(D,A,B,C)
& perp(E,B,A,C)
& perp(F,C,A,B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ cyclic(skolemFOFtoCNF_P_8,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_H,skolemFOFtoCNF_D)
& coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
& coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F)
& midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ cyclic(skolemFOFtoCNF_P_8,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_H,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_4,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_6,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,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_8,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_7]) ).
fof(normalize_0_9,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_10,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_12,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,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_14,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,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_16,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_15]) ).
fof(normalize_0_17,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_18,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_17]) ).
fof(normalize_0_19,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_20,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_22,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(canonicalize,[],[ruleX7]) ).
fof(normalize_0_24,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [A,B,C,D,M,N,Q] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(clausify,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_27,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_29,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_31,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD39]) ).
fof(normalize_0_33,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A,B,C,D,P,Q] :
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(clausify,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_36,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[ruleD41]) ).
fof(normalize_0_37,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD40]) ).
fof(normalize_0_39,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
! [A,B,C,D,P,Q] :
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(clausify,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[ruleD19]) ).
fof(normalize_0_42,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(specialize,[],[normalize_0_41]) ).
fof(normalize_0_43,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[ruleD64]) ).
fof(normalize_0_44,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(specialize,[],[normalize_0_43]) ).
fof(normalize_0_45,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_46,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_45]) ).
fof(normalize_0_47,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_48,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_47]) ).
fof(normalize_0_49,plain,
! [A,B,C,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,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_56,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| ? [P] :
( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ),
inference(specialize,[],[normalize_0_55]) ).
fof(normalize_0_57,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_56]) ).
fof(normalize_0_58,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(conjunct,[],[normalize_0_57]) ).
fof(normalize_0_59,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_60,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_59]) ).
fof(normalize_0_61,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_62,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_61]) ).
fof(normalize_0_63,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_64,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_63]) ).
fof(normalize_0_65,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_66,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_67,plain,
midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
~ cyclic(skolemFOFtoCNF_P_8,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_H,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ cyclic(X_9774,X_9773,X_9774,X_9775)
| cyclic(X_9774,X_9774,X_9773,X_9775) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_9774)),bind(B,$fot(X_9773)),bind(C,$fot(X_9774)),bind(D,$fot(X_9775))]]) ).
cnf(refute_0_3,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ cyclic(X_9770,X_9771,X_9771,X_9772)
| cyclic(X_9771,X_9770,X_9771,X_9772) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_9770)),bind(B,$fot(X_9771)),bind(C,$fot(X_9771)),bind(D,$fot(X_9772))]]) ).
cnf(refute_0_5,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_8]) ).
cnf(refute_0_6,plain,
( ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,C,C,D) ),
inference(subst,[],[refute_0_5:[bind(B,$fot(C))]]) ).
cnf(refute_0_7,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ cong(X_4725,X_4726,X_4727,X_4725)
| cong(X_4725,X_4726,X_4725,X_4727) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_4725)),bind(B,$fot(X_4726)),bind(C,$fot(X_4727)),bind(D,$fot(X_4725))]]) ).
cnf(refute_0_9,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ cong(X_4702,X_4700,X_4700,X_4701)
| cong(X_4700,X_4701,X_4702,X_4700) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_4702)),bind(B,$fot(X_4700)),bind(C,$fot(X_4700)),bind(D,$fot(X_4701))]]) ).
cnf(refute_0_11,plain,
( ~ cong(X_4699,X_4697,X_4698,X_4697)
| cong(X_4699,X_4697,X_4697,X_4698) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_4699)),bind(B,$fot(X_4697)),bind(C,$fot(X_4698)),bind(D,$fot(X_4697))]]) ).
cnf(refute_0_12,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_13,plain,
( ~ midp(M,X_4680,X_4680)
| ~ perp(X_4680,X_4679,X_4679,X_4680)
| cong(X_4680,M,X_4679,M) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_4680)),bind(B,$fot(X_4679)),bind(C,$fot(X_4680))]]) ).
cnf(refute_0_14,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_16]) ).
cnf(refute_0_15,plain,
( ~ cong(X_4677,X_4678,X_4677,X_4678)
| ~ cyclic(X_4677,X_4677,X_4678,X_4678)
| perp(X_4678,X_4677,X_4677,X_4678) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_4677)),bind(B,$fot(X_4677)),bind(P,$fot(X_4678)),bind(Q,$fot(X_4678))]]) ).
cnf(refute_0_16,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_17,plain,
( ~ cyclic(X_4675,X_4675,X_4675,X_4676)
| cyclic(X_4675,X_4675,X_4676,X_4676) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_4675)),bind(B,$fot(X_4675)),bind(C,$fot(X_4675)),bind(D,$fot(X_4676)),bind(E,$fot(X_4676))]]) ).
cnf(refute_0_18,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_19,plain,
( ~ cyclic(X_4673,X_4673,X_4674,X_4673)
| cyclic(X_4673,X_4673,X_4673,X_4674) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_4673)),bind(B,$fot(X_4673)),bind(C,$fot(X_4674)),bind(D,$fot(X_4673))]]) ).
cnf(refute_0_20,plain,
( ~ cyclic(X_4671,X_4672,X_4671,X_4671)
| cyclic(X_4671,X_4671,X_4672,X_4671) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_4671)),bind(B,$fot(X_4672)),bind(C,$fot(X_4671)),bind(D,$fot(X_4671))]]) ).
cnf(refute_0_21,plain,
( ~ cyclic(X_4670,X_4669,X_4669,X_4669)
| cyclic(X_4669,X_4670,X_4669,X_4669) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_4670)),bind(B,$fot(X_4669)),bind(C,$fot(X_4669)),bind(D,$fot(X_4669))]]) ).
cnf(refute_0_22,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_4668,X_4667),X_4668,skolemFOFtoCNF_P_1(X_4668,X_4667),X_4667)
| cyclic(X_4668,X_4667,X_4667,X_4667) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_4668)),bind(B,$fot(X_4667)),bind(C,$fot(X_4667)),bind(D,$fot(X_4667)),bind(O,$fot(skolemFOFtoCNF_P_1(X_4668,X_4667)))]]) ).
cnf(refute_0_23,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_24,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_3787,X_3786),X_3787,X_3786)
| cong(skolemFOFtoCNF_P_1(X_3787,X_3786),X_3787,skolemFOFtoCNF_P_1(X_3787,X_3786),X_3786) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P_1(X_3787,X_3786))),bind(B,$fot(X_3787)),bind(C,$fot(X_3786))]]) ).
cnf(refute_0_25,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_26,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_27,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_28,plain,
( ~ coll(X_587,X_587,X_586)
| coll(X_587,X_586,X_587) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_587)),bind(B,$fot(X_587)),bind(C,$fot(X_586))]]) ).
cnf(refute_0_29,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_30,plain,
( ~ coll(X_584,X_585,X_585)
| coll(X_585,X_585,X_584) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_584)),bind(B,$fot(X_585)),bind(C,$fot(X_585)),bind(D,$fot(X_585))]]) ).
cnf(refute_0_31,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_32,plain,
( ~ para(X_579,X_580,X_579,X_580)
| coll(X_579,X_580,X_580) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_579)),bind(B,$fot(X_580)),bind(C,$fot(X_580))]]) ).
cnf(refute_0_33,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_34,plain,
( ~ eqangle(X_577,X_578,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_577,X_578,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| para(X_577,X_578,X_577,X_578) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_577)),bind(B,$fot(X_578)),bind(C,$fot(X_577)),bind(D,$fot(X_578)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_35,plain,
( ~ cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_E)),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_36,plain,
( ~ cong(skolemFOFtoCNF_P_8,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_37,plain,
midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_38,plain,
( ~ midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_P_8,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_39,plain,
cong(skolemFOFtoCNF_P_8,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_8,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1) )],[refute_0_39,refute_0_36]) ).
cnf(refute_0_41,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_40,refute_0_35]) ).
cnf(refute_0_42,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_43,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_42:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_44,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_41,refute_0_43]) ).
cnf(refute_0_45,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_33:[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_46,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_48,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154) ),
inference(subst,[],[refute_0_47:[bind(A,$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,$fot(X_154))]]) ).
cnf(refute_0_49,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_46,refute_0_48]) ).
cnf(refute_0_50,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_569,X_570,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_569,X_570),
inference(subst,[],[refute_0_49:[bind(X_153,$fot(X_569)),bind(X_154,$fot(X_570))]]) ).
cnf(refute_0_51,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_52,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_569,X_570,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_569,X_570)
| eqangle(X_569,X_570,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_569,X_570,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_51:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_569)),bind(D,$fot(X_570)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1)),bind(U,$fot(X_569)),bind(V,$fot(X_570))]]) ).
cnf(refute_0_53,plain,
eqangle(X_569,X_570,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_569,X_570,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_569,X_570,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_569,X_570) )],[refute_0_50,refute_0_52]) ).
cnf(refute_0_54,plain,
eqangle(X_577,X_578,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_577,X_578,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_53:[bind(X_569,$fot(X_577)),bind(X_570,$fot(X_578))]]) ).
cnf(refute_0_55,plain,
para(X_577,X_578,X_577,X_578),
inference(resolve,[$cnf( eqangle(X_577,X_578,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_577,X_578,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_54,refute_0_34]) ).
cnf(refute_0_56,plain,
para(X_579,X_580,X_579,X_580),
inference(subst,[],[refute_0_55:[bind(X_577,$fot(X_579)),bind(X_578,$fot(X_580))]]) ).
cnf(refute_0_57,plain,
coll(X_579,X_580,X_580),
inference(resolve,[$cnf( para(X_579,X_580,X_579,X_580) )],[refute_0_56,refute_0_32]) ).
cnf(refute_0_58,plain,
coll(X_584,X_585,X_585),
inference(subst,[],[refute_0_57:[bind(X_579,$fot(X_584)),bind(X_580,$fot(X_585))]]) ).
cnf(refute_0_59,plain,
coll(X_585,X_585,X_584),
inference(resolve,[$cnf( coll(X_584,X_585,X_585) )],[refute_0_58,refute_0_30]) ).
cnf(refute_0_60,plain,
coll(X_587,X_587,X_586),
inference(subst,[],[refute_0_59:[bind(X_584,$fot(X_586)),bind(X_585,$fot(X_587))]]) ).
cnf(refute_0_61,plain,
coll(X_587,X_586,X_587),
inference(resolve,[$cnf( coll(X_587,X_587,X_586) )],[refute_0_60,refute_0_28]) ).
cnf(refute_0_62,plain,
coll(D,D,D),
inference(subst,[],[refute_0_61:[bind(X_586,$fot(D)),bind(X_587,$fot(D))]]) ).
cnf(refute_0_63,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_62,refute_0_26]) ).
cnf(refute_0_64,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_3724,X_3724)
| midp(skolemFOFtoCNF_P_1(X_3724,Q),X_3724,Q) ),
inference(subst,[],[refute_0_63:[bind(D,$fot(X_3724)),bind(N,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_65,plain,
para(X_3668,X_3669,X_3668,X_3669),
inference(subst,[],[refute_0_55:[bind(X_577,$fot(X_3668)),bind(X_578,$fot(X_3669))]]) ).
cnf(refute_0_66,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_67,plain,
( ~ midp(X_3670,X_3668,X_3668)
| ~ para(X_3668,X_3669,X_3668,X_3669)
| midp(X_3670,X_3669,X_3669) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(X_3668)),bind(B,$fot(X_3668)),bind(C,$fot(X_3669)),bind(D,$fot(X_3669)),bind(M,$fot(X_3670))]]) ).
cnf(refute_0_68,plain,
( ~ midp(X_3670,X_3668,X_3668)
| midp(X_3670,X_3669,X_3669) ),
inference(resolve,[$cnf( para(X_3668,X_3669,X_3668,X_3669) )],[refute_0_65,refute_0_67]) ).
cnf(refute_0_69,plain,
( ~ midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)
| midp(skolemFOFtoCNF_B_1,X_3669,X_3669) ),
inference(subst,[],[refute_0_68:[bind(X_3668,$fot(skolemFOFtoCNF_P_8)),bind(X_3670,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_70,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_71,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_72,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_73,plain,
( ~ midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(M,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_74,plain,
midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) )],[refute_0_37,refute_0_73]) ).
cnf(refute_0_75,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_76,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_75:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_77,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_78,plain,
( ~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_79,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_80,plain,
( ~ cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1)
| circle(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)))))]]) ).
cnf(refute_0_81,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_E,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))))),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_82,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)))))]]) ).
cnf(refute_0_83,plain,
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_84,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_E)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)))),bind(N,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))))]]) ).
cnf(refute_0_85,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_E)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),bind(N,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)))]]) ).
cnf(refute_0_86,plain,
( ~ midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_E)),bind(M,$fot(skolemFOFtoCNF_P_8)),bind(N,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_87,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_74,refute_0_86]) ).
cnf(refute_0_88,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_87,refute_0_85]) ).
cnf(refute_0_89,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_88,refute_0_84]) ).
cnf(refute_0_90,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_E,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_89,refute_0_82]) ).
cnf(refute_0_91,plain,
cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) )],[refute_0_90,refute_0_81]) ).
cnf(refute_0_92,plain,
circle(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1) )],[refute_0_91,refute_0_80]) ).
cnf(refute_0_93,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_94,plain,
( ~ circle(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ coll(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_E,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_93:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)))))]]) ).
cnf(refute_0_95,plain,
( ~ coll(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_E,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_92,refute_0_94]) ).
cnf(refute_0_96,plain,
( ~ coll(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_97,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_98,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_97:[bind(A,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_99,plain,
coll(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_89,refute_0_98]) ).
cnf(refute_0_100,plain,
coll(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_E,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_99,refute_0_96]) ).
cnf(refute_0_101,plain,
perp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) )],[refute_0_100,refute_0_95]) ).
cnf(refute_0_102,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_101,refute_0_78]) ).
cnf(refute_0_103,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) )],[refute_0_102,refute_0_76]) ).
cnf(refute_0_104,plain,
( ~ midp(X_3722,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| cong(skolemFOFtoCNF_B_1,X_3722,skolemFOFtoCNF_B_1,X_3722) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_E)),bind(M,$fot(X_3722))]]) ).
cnf(refute_0_105,plain,
( ~ midp(X_3722,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| cong(skolemFOFtoCNF_B_1,X_3722,skolemFOFtoCNF_B_1,X_3722) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
( ~ midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_105:[bind(X_3722,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_107,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_74,refute_0_106]) ).
cnf(refute_0_108,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8) )],[refute_0_107,refute_0_71]) ).
cnf(refute_0_109,plain,
( ~ coll(X_3651,skolemFOFtoCNF_A,C)
| ~ coll(X_3651,skolemFOFtoCNF_A,X_3652)
| coll(C,X_3652,X_3651) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3651)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3652))]]) ).
cnf(refute_0_110,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_111,plain,
( ~ coll(skolemFOFtoCNF_A,X_3626,X_3627)
| coll(X_3626,skolemFOFtoCNF_A,X_3627) ),
inference(subst,[],[refute_0_110:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3626)),bind(C,$fot(X_3627))]]) ).
cnf(refute_0_112,plain,
( ~ coll(X_3584,skolemFOFtoCNF_C_1,D)
| ~ coll(X_3584,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,D,X_3584) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3584)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_113,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_3583,skolemFOFtoCNF_A)
| coll(X_3583,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_110:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3583)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_114,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_115,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_116,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_110:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_117,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_119,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_119,refute_0_114]) ).
cnf(refute_0_121,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3548)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_3548,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3548))]]) ).
cnf(refute_0_122,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3548)
| coll(skolemFOFtoCNF_C_1,X_3548,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3548),
inference(subst,[],[refute_0_59:[bind(X_584,$fot(X_3548)),bind(X_585,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_124,plain,
coll(skolemFOFtoCNF_C_1,X_3548,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3548) )],[refute_0_123,refute_0_122]) ).
cnf(refute_0_125,plain,
coll(skolemFOFtoCNF_C_1,X_3583,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_124:[bind(X_3548,$fot(X_3583))]]) ).
cnf(refute_0_126,plain,
coll(X_3583,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_3583,skolemFOFtoCNF_A) )],[refute_0_125,refute_0_113]) ).
cnf(refute_0_127,plain,
coll(X_3584,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_126:[bind(X_3583,$fot(X_3584))]]) ).
cnf(refute_0_128,plain,
( ~ coll(X_3584,skolemFOFtoCNF_C_1,D)
| coll(skolemFOFtoCNF_A,D,X_3584) ),
inference(resolve,[$cnf( coll(X_3584,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_127,refute_0_112]) ).
cnf(refute_0_129,plain,
coll(X_3546,X_3546,X_3547),
inference(subst,[],[refute_0_59:[bind(X_584,$fot(X_3547)),bind(X_585,$fot(X_3546))]]) ).
cnf(refute_0_130,plain,
( ~ coll(X_3546,X_3546,X_3547)
| ~ coll(X_3546,X_3546,X_3548)
| coll(X_3547,X_3548,X_3546) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3546)),bind(B,$fot(X_3546)),bind(C,$fot(X_3547)),bind(D,$fot(X_3548))]]) ).
cnf(refute_0_131,plain,
( ~ coll(X_3546,X_3546,X_3548)
| coll(X_3547,X_3548,X_3546) ),
inference(resolve,[$cnf( coll(X_3546,X_3546,X_3547) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
coll(X_3546,X_3546,X_3548),
inference(subst,[],[refute_0_59:[bind(X_584,$fot(X_3548)),bind(X_585,$fot(X_3546))]]) ).
cnf(refute_0_133,plain,
coll(X_3547,X_3548,X_3546),
inference(resolve,[$cnf( coll(X_3546,X_3546,X_3548) )],[refute_0_132,refute_0_131]) ).
cnf(refute_0_134,plain,
coll(X_3584,skolemFOFtoCNF_C_1,D),
inference(subst,[],[refute_0_133:[bind(X_3546,$fot(D)),bind(X_3547,$fot(X_3584)),bind(X_3548,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_135,plain,
coll(skolemFOFtoCNF_A,D,X_3584),
inference(resolve,[$cnf( coll(X_3584,skolemFOFtoCNF_C_1,D) )],[refute_0_134,refute_0_128]) ).
cnf(refute_0_136,plain,
coll(skolemFOFtoCNF_A,X_3626,X_3627),
inference(subst,[],[refute_0_135:[bind(D,$fot(X_3626)),bind(X_3584,$fot(X_3627))]]) ).
cnf(refute_0_137,plain,
coll(X_3626,skolemFOFtoCNF_A,X_3627),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3626,X_3627) )],[refute_0_136,refute_0_111]) ).
cnf(refute_0_138,plain,
coll(X_3651,skolemFOFtoCNF_A,X_3652),
inference(subst,[],[refute_0_137:[bind(X_3626,$fot(X_3651)),bind(X_3627,$fot(X_3652))]]) ).
cnf(refute_0_139,plain,
( ~ coll(X_3651,skolemFOFtoCNF_A,C)
| coll(C,X_3652,X_3651) ),
inference(resolve,[$cnf( coll(X_3651,skolemFOFtoCNF_A,X_3652) )],[refute_0_138,refute_0_109]) ).
cnf(refute_0_140,plain,
( ~ coll(X_3624,skolemFOFtoCNF_H,C)
| ~ coll(X_3624,skolemFOFtoCNF_H,X_3625)
| coll(C,X_3625,X_3624) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3624)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_3625))]]) ).
cnf(refute_0_141,plain,
( ~ coll(X_3574,skolemFOFtoCNF_B_1,C)
| ~ coll(X_3574,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
| coll(C,skolemFOFtoCNF_H,X_3574) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3574)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_142,plain,
( ~ coll(skolemFOFtoCNF_H,X_3560,C)
| ~ coll(skolemFOFtoCNF_H,X_3560,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(X_3560)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_143,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_144,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_145,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_146,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_110:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_147,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_149,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_E) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_H) )],[refute_0_149,refute_0_144]) ).
cnf(refute_0_151,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) )],[refute_0_150,refute_0_143]) ).
cnf(refute_0_152,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3548)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,X_3548,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_3548))]]) ).
cnf(refute_0_153,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3548)
| coll(skolemFOFtoCNF_H,X_3548,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3548),
inference(subst,[],[refute_0_59:[bind(X_584,$fot(X_3548)),bind(X_585,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_155,plain,
coll(skolemFOFtoCNF_H,X_3548,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3548) )],[refute_0_154,refute_0_153]) ).
cnf(refute_0_156,plain,
coll(skolemFOFtoCNF_H,X_3560,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_155:[bind(X_3548,$fot(X_3560))]]) ).
cnf(refute_0_157,plain,
( ~ coll(skolemFOFtoCNF_H,X_3560,C)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,X_3560,skolemFOFtoCNF_B_1) )],[refute_0_156,refute_0_142]) ).
cnf(refute_0_158,plain,
coll(skolemFOFtoCNF_H,X_3560,C),
inference(subst,[],[refute_0_133:[bind(X_3546,$fot(C)),bind(X_3547,$fot(skolemFOFtoCNF_H)),bind(X_3548,$fot(X_3560))]]) ).
cnf(refute_0_159,plain,
coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,X_3560,C) )],[refute_0_158,refute_0_157]) ).
cnf(refute_0_160,plain,
coll(X_3574,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_159:[bind(C,$fot(X_3574))]]) ).
cnf(refute_0_161,plain,
( ~ coll(X_3574,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_H,X_3574) ),
inference(resolve,[$cnf( coll(X_3574,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_160,refute_0_141]) ).
cnf(refute_0_162,plain,
coll(X_3574,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_133:[bind(X_3546,$fot(C)),bind(X_3547,$fot(X_3574)),bind(X_3548,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_163,plain,
coll(C,skolemFOFtoCNF_H,X_3574),
inference(resolve,[$cnf( coll(X_3574,skolemFOFtoCNF_B_1,C) )],[refute_0_162,refute_0_161]) ).
cnf(refute_0_164,plain,
coll(X_3624,skolemFOFtoCNF_H,X_3625),
inference(subst,[],[refute_0_163:[bind(C,$fot(X_3624)),bind(X_3574,$fot(X_3625))]]) ).
cnf(refute_0_165,plain,
( ~ coll(X_3624,skolemFOFtoCNF_H,C)
| coll(C,X_3625,X_3624) ),
inference(resolve,[$cnf( coll(X_3624,skolemFOFtoCNF_H,X_3625) )],[refute_0_164,refute_0_140]) ).
cnf(refute_0_166,plain,
( ~ coll(X_3615,skolemFOFtoCNF_Q_3,C)
| ~ coll(X_3615,skolemFOFtoCNF_Q_3,X_3616)
| coll(C,X_3616,X_3615) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3615)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(D,$fot(X_3616))]]) ).
cnf(refute_0_167,plain,
( ~ coll(X_3596,skolemFOFtoCNF_C_1,C)
| ~ coll(X_3596,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3)
| coll(C,skolemFOFtoCNF_Q_3,X_3596) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3596)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_168,plain,
( ~ coll(skolemFOFtoCNF_Q_3,X_3594,C)
| ~ coll(skolemFOFtoCNF_Q_3,X_3594,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(X_3594)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_169,plain,
( ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_170,plain,
midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_171,plain,
( ~ midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_97:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_172,plain,
coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) )],[refute_0_172,refute_0_169]) ).
cnf(refute_0_174,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3548)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3)
| coll(skolemFOFtoCNF_Q_3,X_3548,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_Q_3)),bind(D,$fot(X_3548))]]) ).
cnf(refute_0_175,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3548)
| coll(skolemFOFtoCNF_Q_3,X_3548,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3548),
inference(subst,[],[refute_0_59:[bind(X_584,$fot(X_3548)),bind(X_585,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_177,plain,
coll(skolemFOFtoCNF_Q_3,X_3548,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3548) )],[refute_0_176,refute_0_175]) ).
cnf(refute_0_178,plain,
coll(skolemFOFtoCNF_Q_3,X_3594,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_177:[bind(X_3548,$fot(X_3594))]]) ).
cnf(refute_0_179,plain,
( ~ coll(skolemFOFtoCNF_Q_3,X_3594,C)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,X_3594,skolemFOFtoCNF_C_1) )],[refute_0_178,refute_0_168]) ).
cnf(refute_0_180,plain,
coll(skolemFOFtoCNF_Q_3,X_3594,C),
inference(subst,[],[refute_0_133:[bind(X_3546,$fot(C)),bind(X_3547,$fot(skolemFOFtoCNF_Q_3)),bind(X_3548,$fot(X_3594))]]) ).
cnf(refute_0_181,plain,
coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,X_3594,C) )],[refute_0_180,refute_0_179]) ).
cnf(refute_0_182,plain,
coll(X_3596,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3),
inference(subst,[],[refute_0_181:[bind(C,$fot(X_3596))]]) ).
cnf(refute_0_183,plain,
( ~ coll(X_3596,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_Q_3,X_3596) ),
inference(resolve,[$cnf( coll(X_3596,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3) )],[refute_0_182,refute_0_167]) ).
cnf(refute_0_184,plain,
coll(X_3596,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_133:[bind(X_3546,$fot(C)),bind(X_3547,$fot(X_3596)),bind(X_3548,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_185,plain,
coll(C,skolemFOFtoCNF_Q_3,X_3596),
inference(resolve,[$cnf( coll(X_3596,skolemFOFtoCNF_C_1,C) )],[refute_0_184,refute_0_183]) ).
cnf(refute_0_186,plain,
coll(X_3615,skolemFOFtoCNF_Q_3,X_3616),
inference(subst,[],[refute_0_185:[bind(C,$fot(X_3615)),bind(X_3596,$fot(X_3616))]]) ).
cnf(refute_0_187,plain,
( ~ coll(X_3615,skolemFOFtoCNF_Q_3,C)
| coll(C,X_3616,X_3615) ),
inference(resolve,[$cnf( coll(X_3615,skolemFOFtoCNF_Q_3,X_3616) )],[refute_0_186,refute_0_166]) ).
cnf(refute_0_188,plain,
coll(X_3615,skolemFOFtoCNF_Q_3,C),
inference(subst,[],[refute_0_133:[bind(X_3546,$fot(C)),bind(X_3547,$fot(X_3615)),bind(X_3548,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_189,plain,
coll(C,X_3616,X_3615),
inference(resolve,[$cnf( coll(X_3615,skolemFOFtoCNF_Q_3,C) )],[refute_0_188,refute_0_187]) ).
cnf(refute_0_190,plain,
coll(X_3624,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_189:[bind(C,$fot(X_3624)),bind(X_3615,$fot(C)),bind(X_3616,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_191,plain,
coll(C,X_3625,X_3624),
inference(resolve,[$cnf( coll(X_3624,skolemFOFtoCNF_H,C) )],[refute_0_190,refute_0_165]) ).
cnf(refute_0_192,plain,
coll(X_3651,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_191:[bind(C,$fot(X_3651)),bind(X_3624,$fot(C)),bind(X_3625,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_193,plain,
coll(C,X_3652,X_3651),
inference(resolve,[$cnf( coll(X_3651,skolemFOFtoCNF_A,C) )],[refute_0_192,refute_0_139]) ).
cnf(refute_0_194,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),
inference(subst,[],[refute_0_193:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_3651,$fot(skolemFOFtoCNF_P_8)),bind(X_3652,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_195,plain,
midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8) )],[refute_0_194,refute_0_108]) ).
cnf(refute_0_196,plain,
midp(skolemFOFtoCNF_B_1,X_3669,X_3669),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8) )],[refute_0_195,refute_0_69]) ).
cnf(refute_0_197,plain,
midp(skolemFOFtoCNF_B_1,X_3724,X_3724),
inference(subst,[],[refute_0_196:[bind(X_3669,$fot(X_3724))]]) ).
cnf(refute_0_198,plain,
midp(skolemFOFtoCNF_P_1(X_3724,Q),X_3724,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_3724,X_3724) )],[refute_0_197,refute_0_64]) ).
cnf(refute_0_199,plain,
midp(skolemFOFtoCNF_P_1(X_3787,X_3786),X_3787,X_3786),
inference(subst,[],[refute_0_198:[bind(Q,$fot(X_3786)),bind(X_3724,$fot(X_3787))]]) ).
cnf(refute_0_200,plain,
cong(skolemFOFtoCNF_P_1(X_3787,X_3786),X_3787,skolemFOFtoCNF_P_1(X_3787,X_3786),X_3786),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_3787,X_3786),X_3787,X_3786) )],[refute_0_199,refute_0_24]) ).
cnf(refute_0_201,plain,
cong(skolemFOFtoCNF_P_1(X_4668,X_4667),X_4668,skolemFOFtoCNF_P_1(X_4668,X_4667),X_4667),
inference(subst,[],[refute_0_200:[bind(X_3786,$fot(X_4667)),bind(X_3787,$fot(X_4668))]]) ).
cnf(refute_0_202,plain,
cyclic(X_4668,X_4667,X_4667,X_4667),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_4668,X_4667),X_4668,skolemFOFtoCNF_P_1(X_4668,X_4667),X_4667) )],[refute_0_201,refute_0_22]) ).
cnf(refute_0_203,plain,
cyclic(X_4670,X_4669,X_4669,X_4669),
inference(subst,[],[refute_0_202:[bind(X_4667,$fot(X_4669)),bind(X_4668,$fot(X_4670))]]) ).
cnf(refute_0_204,plain,
cyclic(X_4669,X_4670,X_4669,X_4669),
inference(resolve,[$cnf( cyclic(X_4670,X_4669,X_4669,X_4669) )],[refute_0_203,refute_0_21]) ).
cnf(refute_0_205,plain,
cyclic(X_4671,X_4672,X_4671,X_4671),
inference(subst,[],[refute_0_204:[bind(X_4669,$fot(X_4671)),bind(X_4670,$fot(X_4672))]]) ).
cnf(refute_0_206,plain,
cyclic(X_4671,X_4671,X_4672,X_4671),
inference(resolve,[$cnf( cyclic(X_4671,X_4672,X_4671,X_4671) )],[refute_0_205,refute_0_20]) ).
cnf(refute_0_207,plain,
cyclic(X_4673,X_4673,X_4674,X_4673),
inference(subst,[],[refute_0_206:[bind(X_4671,$fot(X_4673)),bind(X_4672,$fot(X_4674))]]) ).
cnf(refute_0_208,plain,
cyclic(X_4673,X_4673,X_4673,X_4674),
inference(resolve,[$cnf( cyclic(X_4673,X_4673,X_4674,X_4673) )],[refute_0_207,refute_0_19]) ).
cnf(refute_0_209,plain,
cyclic(X_4675,X_4675,X_4675,X_4676),
inference(subst,[],[refute_0_208:[bind(X_4673,$fot(X_4675)),bind(X_4674,$fot(X_4676))]]) ).
cnf(refute_0_210,plain,
cyclic(X_4675,X_4675,X_4676,X_4676),
inference(resolve,[$cnf( cyclic(X_4675,X_4675,X_4675,X_4676) )],[refute_0_209,refute_0_17]) ).
cnf(refute_0_211,plain,
cyclic(X_4677,X_4677,X_4678,X_4678),
inference(subst,[],[refute_0_210:[bind(X_4675,$fot(X_4677)),bind(X_4676,$fot(X_4678))]]) ).
cnf(refute_0_212,plain,
( ~ cong(X_4677,X_4678,X_4677,X_4678)
| perp(X_4678,X_4677,X_4677,X_4678) ),
inference(resolve,[$cnf( cyclic(X_4677,X_4677,X_4678,X_4678) )],[refute_0_211,refute_0_15]) ).
cnf(refute_0_213,plain,
( ~ midp(X_3760,X_3759,X_3759)
| cong(X_3760,X_3759,X_3760,X_3759) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_3760)),bind(B,$fot(X_3759)),bind(C,$fot(X_3759))]]) ).
cnf(refute_0_214,plain,
( ~ midp(X_3749,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_3749,X_3669,X_3669) ),
inference(subst,[],[refute_0_68:[bind(X_3668,$fot(skolemFOFtoCNF_B_1)),bind(X_3670,$fot(X_3749))]]) ).
cnf(refute_0_215,plain,
( ~ coll(X_3740,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(X_3740,skolemFOFtoCNF_B_1,X_3740,skolemFOFtoCNF_B_1)
| midp(X_3740,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(X_3740)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_216,plain,
( ~ cong(X_3738,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3738)
| cong(X_3738,skolemFOFtoCNF_B_1,X_3738,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_3738)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3738))]]) ).
cnf(refute_0_217,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_3734,X_3734,skolemFOFtoCNF_B_1)
| cong(X_3734,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3734) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_3734)),bind(C,$fot(X_3734)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_218,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_3728,skolemFOFtoCNF_B_1,X_3728)
| cong(skolemFOFtoCNF_B_1,X_3728,X_3728,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_3728)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3728))]]) ).
cnf(refute_0_219,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_3724,X_3724)
| cong(skolemFOFtoCNF_B_1,X_3724,skolemFOFtoCNF_B_1,X_3724) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_3724)),bind(C,$fot(X_3724))]]) ).
cnf(refute_0_220,plain,
cong(skolemFOFtoCNF_B_1,X_3724,skolemFOFtoCNF_B_1,X_3724),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_3724,X_3724) )],[refute_0_197,refute_0_219]) ).
cnf(refute_0_221,plain,
cong(skolemFOFtoCNF_B_1,X_3728,skolemFOFtoCNF_B_1,X_3728),
inference(subst,[],[refute_0_220:[bind(X_3724,$fot(X_3728))]]) ).
cnf(refute_0_222,plain,
cong(skolemFOFtoCNF_B_1,X_3728,X_3728,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_3728,skolemFOFtoCNF_B_1,X_3728) )],[refute_0_221,refute_0_218]) ).
cnf(refute_0_223,plain,
cong(skolemFOFtoCNF_B_1,X_3734,X_3734,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_222:[bind(X_3728,$fot(X_3734))]]) ).
cnf(refute_0_224,plain,
cong(X_3734,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3734),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_3734,X_3734,skolemFOFtoCNF_B_1) )],[refute_0_223,refute_0_217]) ).
cnf(refute_0_225,plain,
cong(X_3738,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3738),
inference(subst,[],[refute_0_224:[bind(X_3734,$fot(X_3738))]]) ).
cnf(refute_0_226,plain,
cong(X_3738,skolemFOFtoCNF_B_1,X_3738,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(X_3738,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3738) )],[refute_0_225,refute_0_216]) ).
cnf(refute_0_227,plain,
cong(X_3740,skolemFOFtoCNF_B_1,X_3740,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_226:[bind(X_3738,$fot(X_3740))]]) ).
cnf(refute_0_228,plain,
( ~ coll(X_3740,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_3740,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(X_3740,skolemFOFtoCNF_B_1,X_3740,skolemFOFtoCNF_B_1) )],[refute_0_227,refute_0_215]) ).
cnf(refute_0_229,plain,
coll(X_3740,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_193:[bind(C,$fot(X_3740)),bind(X_3651,$fot(skolemFOFtoCNF_B_1)),bind(X_3652,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_230,plain,
midp(X_3740,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(X_3740,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_229,refute_0_228]) ).
cnf(refute_0_231,plain,
midp(X_3749,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_230:[bind(X_3740,$fot(X_3749))]]) ).
cnf(refute_0_232,plain,
midp(X_3749,X_3669,X_3669),
inference(resolve,[$cnf( midp(X_3749,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_231,refute_0_214]) ).
cnf(refute_0_233,plain,
midp(X_3760,X_3759,X_3759),
inference(subst,[],[refute_0_232:[bind(X_3669,$fot(X_3759)),bind(X_3749,$fot(X_3760))]]) ).
cnf(refute_0_234,plain,
cong(X_3760,X_3759,X_3760,X_3759),
inference(resolve,[$cnf( midp(X_3760,X_3759,X_3759) )],[refute_0_233,refute_0_213]) ).
cnf(refute_0_235,plain,
cong(X_4677,X_4678,X_4677,X_4678),
inference(subst,[],[refute_0_234:[bind(X_3759,$fot(X_4678)),bind(X_3760,$fot(X_4677))]]) ).
cnf(refute_0_236,plain,
perp(X_4678,X_4677,X_4677,X_4678),
inference(resolve,[$cnf( cong(X_4677,X_4678,X_4677,X_4678) )],[refute_0_235,refute_0_212]) ).
cnf(refute_0_237,plain,
perp(X_4680,X_4679,X_4679,X_4680),
inference(subst,[],[refute_0_236:[bind(X_4677,$fot(X_4679)),bind(X_4678,$fot(X_4680))]]) ).
cnf(refute_0_238,plain,
( ~ midp(M,X_4680,X_4680)
| cong(X_4680,M,X_4679,M) ),
inference(resolve,[$cnf( perp(X_4680,X_4679,X_4679,X_4680) )],[refute_0_237,refute_0_13]) ).
cnf(refute_0_239,plain,
midp(M,X_4680,X_4680),
inference(subst,[],[refute_0_232:[bind(X_3669,$fot(X_4680)),bind(X_3749,$fot(M))]]) ).
cnf(refute_0_240,plain,
cong(X_4680,M,X_4679,M),
inference(resolve,[$cnf( midp(M,X_4680,X_4680) )],[refute_0_239,refute_0_238]) ).
cnf(refute_0_241,plain,
cong(X_4699,X_4697,X_4698,X_4697),
inference(subst,[],[refute_0_240:[bind(M,$fot(X_4697)),bind(X_4679,$fot(X_4698)),bind(X_4680,$fot(X_4699))]]) ).
cnf(refute_0_242,plain,
cong(X_4699,X_4697,X_4697,X_4698),
inference(resolve,[$cnf( cong(X_4699,X_4697,X_4698,X_4697) )],[refute_0_241,refute_0_11]) ).
cnf(refute_0_243,plain,
cong(X_4702,X_4700,X_4700,X_4701),
inference(subst,[],[refute_0_242:[bind(X_4697,$fot(X_4700)),bind(X_4698,$fot(X_4701)),bind(X_4699,$fot(X_4702))]]) ).
cnf(refute_0_244,plain,
cong(X_4700,X_4701,X_4702,X_4700),
inference(resolve,[$cnf( cong(X_4702,X_4700,X_4700,X_4701) )],[refute_0_243,refute_0_10]) ).
cnf(refute_0_245,plain,
cong(X_4725,X_4726,X_4727,X_4725),
inference(subst,[],[refute_0_244:[bind(X_4700,$fot(X_4725)),bind(X_4701,$fot(X_4726)),bind(X_4702,$fot(X_4727))]]) ).
cnf(refute_0_246,plain,
cong(X_4725,X_4726,X_4725,X_4727),
inference(resolve,[$cnf( cong(X_4725,X_4726,X_4727,X_4725) )],[refute_0_245,refute_0_8]) ).
cnf(refute_0_247,plain,
cong(O,A,O,C),
inference(subst,[],[refute_0_246:[bind(X_4725,$fot(O)),bind(X_4726,$fot(A)),bind(X_4727,$fot(C))]]) ).
cnf(refute_0_248,plain,
( ~ cong(O,A,O,D)
| cyclic(A,C,C,D) ),
inference(resolve,[$cnf( cong(O,A,O,C) )],[refute_0_247,refute_0_6]) ).
cnf(refute_0_249,plain,
cong(O,A,O,D),
inference(subst,[],[refute_0_246:[bind(X_4725,$fot(O)),bind(X_4726,$fot(A)),bind(X_4727,$fot(D))]]) ).
cnf(refute_0_250,plain,
cyclic(A,C,C,D),
inference(resolve,[$cnf( cong(O,A,O,D) )],[refute_0_249,refute_0_248]) ).
cnf(refute_0_251,plain,
cyclic(X_9770,X_9771,X_9771,X_9772),
inference(subst,[],[refute_0_250:[bind(A,$fot(X_9770)),bind(C,$fot(X_9771)),bind(D,$fot(X_9772))]]) ).
cnf(refute_0_252,plain,
cyclic(X_9771,X_9770,X_9771,X_9772),
inference(resolve,[$cnf( cyclic(X_9770,X_9771,X_9771,X_9772) )],[refute_0_251,refute_0_4]) ).
cnf(refute_0_253,plain,
cyclic(X_9774,X_9773,X_9774,X_9775),
inference(subst,[],[refute_0_252:[bind(X_9770,$fot(X_9773)),bind(X_9771,$fot(X_9774)),bind(X_9772,$fot(X_9775))]]) ).
cnf(refute_0_254,plain,
cyclic(X_9774,X_9774,X_9773,X_9775),
inference(resolve,[$cnf( cyclic(X_9774,X_9773,X_9774,X_9775) )],[refute_0_253,refute_0_2]) ).
cnf(refute_0_255,plain,
cyclic(X_10355,X_10355,X_10356,X_10357),
inference(subst,[],[refute_0_254:[bind(X_9773,$fot(X_10356)),bind(X_9774,$fot(X_10355)),bind(X_9775,$fot(X_10357))]]) ).
cnf(refute_0_256,plain,
( ~ cyclic(X_10355,X_10355,X_10356,X_10357)
| ~ cyclic(X_10355,X_10355,X_10356,X_10358)
| cyclic(X_10355,X_10356,X_10357,X_10358) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_10355)),bind(B,$fot(X_10355)),bind(C,$fot(X_10356)),bind(D,$fot(X_10357)),bind(E,$fot(X_10358))]]) ).
cnf(refute_0_257,plain,
( ~ cyclic(X_10355,X_10355,X_10356,X_10358)
| cyclic(X_10355,X_10356,X_10357,X_10358) ),
inference(resolve,[$cnf( cyclic(X_10355,X_10355,X_10356,X_10357) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
cyclic(X_10355,X_10355,X_10356,X_10358),
inference(subst,[],[refute_0_254:[bind(X_9773,$fot(X_10356)),bind(X_9774,$fot(X_10355)),bind(X_9775,$fot(X_10358))]]) ).
cnf(refute_0_259,plain,
cyclic(X_10355,X_10356,X_10357,X_10358),
inference(resolve,[$cnf( cyclic(X_10355,X_10355,X_10356,X_10358) )],[refute_0_258,refute_0_257]) ).
cnf(refute_0_260,plain,
cyclic(skolemFOFtoCNF_P_8,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_H,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_259:[bind(X_10355,$fot(skolemFOFtoCNF_P_8)),bind(X_10356,$fot(skolemFOFtoCNF_Q_3)),bind(X_10357,$fot(skolemFOFtoCNF_H)),bind(X_10358,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_261,plain,
$false,
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_P_8,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_H,skolemFOFtoCNF_D) )],[refute_0_260,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO543+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 17 18:08:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 69.08/69.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 69.08/69.25
% 69.08/69.25 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 69.08/69.28
%------------------------------------------------------------------------------