TSTP Solution File: GEO580+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO580+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 05:27:28 EDT 2022
% Result : Theorem 36.57s 36.85s
% Output : CNFRefutation 36.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 84
% Number of leaves : 29
% Syntax : Number of formulae : 392 ( 160 unt; 0 def)
% Number of atoms : 785 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 687 ( 294 ~; 289 |; 73 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-6 aty)
% Number of variables : 941 ( 146 sgn 429 !; 17 ?)
% 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(ruleD4,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(A,B,D,C) ) ).
fof(ruleD5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(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(ruleX6,axiom,
! [A,B,C,D,M,N] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D) )
=> ( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(ruleX16,axiom,
! [A,B,C,D,M] :
? [P] :
( ( perp(A,B,A,C)
& perp(C,A,C,D)
& midp(M,B,D) )
=> midp(P,A,C) ) ).
fof(exemplo6GDDFULL416042,conjecture,
! [A,B,C,D,E,F,G,H] :
( ( eqangle(D,A,A,B,D,A,A,C)
& eqangle(D,B,B,C,D,B,B,A)
& eqangle(D,C,C,A,D,C,C,B)
& perp(E,A,B,C)
& coll(E,B,C)
& perp(F,B,A,D)
& coll(F,A,D)
& perp(G,C,A,D)
& coll(G,A,D)
& midp(H,C,B) )
=> cyclic(E,F,G,H) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E,F,G,H] :
( ( eqangle(D,A,A,B,D,A,A,C)
& eqangle(D,B,B,C,D,B,B,A)
& eqangle(D,C,C,A,D,C,C,B)
& perp(E,A,B,C)
& coll(E,B,C)
& perp(F,B,A,D)
& coll(F,A,D)
& perp(G,C,A,D)
& coll(G,A,D)
& midp(H,C,B) )
=> cyclic(E,F,G,H) ),
inference(strip,[],[exemplo6GDDFULL416042]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E,F,G,H] :
( ( eqangle(D,A,A,B,D,A,A,C)
& eqangle(D,B,B,C,D,B,B,A)
& eqangle(D,C,C,A,D,C,C,B)
& perp(E,A,B,C)
& coll(E,B,C)
& perp(F,B,A,D)
& coll(F,A,D)
& perp(G,C,A,D)
& coll(G,A,D)
& midp(H,C,B) )
=> cyclic(E,F,G,H) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F,G,H] :
( ~ cyclic(E,F,G,H)
& coll(E,B,C)
& coll(F,A,D)
& coll(G,A,D)
& eqangle(D,A,A,B,D,A,A,C)
& eqangle(D,B,B,C,D,B,B,A)
& eqangle(D,C,C,A,D,C,C,B)
& midp(H,C,B)
& perp(E,A,B,C)
& perp(F,B,A,D)
& perp(G,C,A,D) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_H)
& coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
& coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
& eqangle(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& eqangle(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
& eqangle(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& perp(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
& perp(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_H),
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,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_14,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_13]) ).
fof(normalize_0_15,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_16,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_18,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A,B,C,D] :
( ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| ? [P] : midp(P,A,C)
| ! [M] : ~ midp(M,B,D) ),
inference(canonicalize,[],[ruleX16]) ).
fof(normalize_0_20,plain,
! [A,B,C,D] :
( ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| ? [P] : midp(P,A,C)
| ! [M] : ~ midp(M,B,D) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B,C,D,M] :
( ~ midp(M,B,D)
| ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| midp(skolemFOFtoCNF_P_7(A,C),A,C) ),
inference(clausify,[],[normalize_0_20]) ).
fof(normalize_0_22,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_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(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,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_23]) ).
fof(normalize_0_25,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_26,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_28,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_30,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD39]) ).
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(specialize,[],[normalize_0_31]) ).
fof(normalize_0_33,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_32]) ).
fof(normalize_0_34,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_35,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,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_37,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_36]) ).
fof(normalize_0_38,plain,
midp(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
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(canonicalize,[],[ruleD40]) ).
fof(normalize_0_40,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_39]) ).
fof(normalize_0_41,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_40]) ).
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(canonicalize,[],[ruleD19]) ).
fof(normalize_0_43,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_42]) ).
fof(normalize_0_44,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_45,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_44]) ).
fof(normalize_0_46,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(canonicalize,[],[ruleD4]) ).
fof(normalize_0_47,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(specialize,[],[normalize_0_46]) ).
fof(normalize_0_48,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(canonicalize,[],[ruleD5]) ).
fof(normalize_0_49,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(specialize,[],[normalize_0_48]) ).
fof(normalize_0_50,plain,
eqangle(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_51,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_52,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_51]) ).
fof(normalize_0_53,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_54,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_53]) ).
fof(normalize_0_55,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_56,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_57,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_58,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_59,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_58]) ).
fof(normalize_0_60,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_61,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_60]) ).
fof(normalize_0_62,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_63,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_62]) ).
fof(normalize_0_64,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_65,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_64]) ).
fof(normalize_0_66,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_67,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_66]) ).
fof(normalize_0_68,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_67]) ).
fof(normalize_0_69,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_68]) ).
cnf(refute_0_0,plain,
~ cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_H),
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_10414,X_10413,X_10414,X_10415)
| cyclic(X_10414,X_10414,X_10413,X_10415) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_10414)),bind(B,$fot(X_10413)),bind(C,$fot(X_10414)),bind(D,$fot(X_10415))]]) ).
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_10410,X_10411,X_10411,X_10412)
| cyclic(X_10411,X_10410,X_10411,X_10412) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_10410)),bind(B,$fot(X_10411)),bind(C,$fot(X_10411)),bind(D,$fot(X_10412))]]) ).
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,$fot(C))]]) ).
cnf(refute_0_7,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ cong(X_8594,X_8592,X_8593,X_8594)
| cong(X_8594,X_8592,X_8594,X_8593) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_8594)),bind(B,$fot(X_8592)),bind(C,$fot(X_8593)),bind(D,$fot(X_8594))]]) ).
cnf(refute_0_9,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ cong(X_8556,X_8557,X_8557,X_8555)
| cong(X_8557,X_8555,X_8556,X_8557) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_8556)),bind(B,$fot(X_8557)),bind(C,$fot(X_8557)),bind(D,$fot(X_8555))]]) ).
cnf(refute_0_11,plain,
( ~ cong(X_8463,X_8464,X_8462,X_8464)
| cong(X_8463,X_8464,X_8464,X_8462) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_8463)),bind(B,$fot(X_8464)),bind(C,$fot(X_8462)),bind(D,$fot(X_8464))]]) ).
cnf(refute_0_12,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_13,plain,
( ~ midp(X_3007,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A))
| ~ para(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),D,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),D)
| midp(X_3007,D,D) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(B,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(C,$fot(D)),bind(M,$fot(X_3007))]]) ).
cnf(refute_0_14,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_15,plain,
( ~ coll(X_3006,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A))
| ~ cong(X_3006,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3006,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A))
| midp(X_3006,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_3006)),bind(B,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(C,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_16,plain,
( ~ cong(X_3004,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3004)
| cong(X_3004,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3004,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_3004)),bind(B,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(C,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(D,$fot(X_3004))]]) ).
cnf(refute_0_17,plain,
( ~ cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3002,X_3002,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A))
| cong(X_3002,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3002) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(B,$fot(X_3002)),bind(C,$fot(X_3002)),bind(D,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_18,plain,
( ~ cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_2855,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_2855)
| cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_2855,X_2855,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(B,$fot(X_2855)),bind(C,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(D,$fot(X_2855))]]) ).
cnf(refute_0_19,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_20,plain,
( ~ midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_2644,X_2644)
| cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_2644,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_2644) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(B,$fot(X_2644)),bind(C,$fot(X_2644))]]) ).
cnf(refute_0_21,plain,
( ~ midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ para(skolemFOFtoCNF_A,D,skolemFOFtoCNF_A,D)
| midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),D,D) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(D)),bind(M,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_22,plain,
( ~ midp(M,B,D)
| ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| midp(skolemFOFtoCNF_P_7(A,C),A,C) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_23,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_24,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_24]) ).
cnf(refute_0_25,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_26,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_27,plain,
( ~ coll(X_365,X_365,X_364)
| coll(X_365,X_364,X_365) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_365)),bind(B,$fot(X_365)),bind(C,$fot(X_364))]]) ).
cnf(refute_0_28,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_29,plain,
( ~ coll(X_362,X_363,X_363)
| coll(X_363,X_363,X_362) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_362)),bind(B,$fot(X_363)),bind(C,$fot(X_363)),bind(D,$fot(X_363))]]) ).
cnf(refute_0_30,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_31,plain,
( ~ para(X_360,X_361,X_360,X_361)
| coll(X_360,X_361,X_361) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(X_360)),bind(B,$fot(X_361)),bind(C,$fot(X_361))]]) ).
cnf(refute_0_32,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_33,plain,
( ~ eqangle(X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| para(X_358,X_359,X_358,X_359) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(X_358)),bind(B,$fot(X_359)),bind(C,$fot(X_358)),bind(D,$fot(X_359)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_34,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_35,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_34:[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_36,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_37,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_38,plain,
( ~ cong(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_39,plain,
midp(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_40,plain,
( ~ midp(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_41,plain,
cong(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) )],[refute_0_41,refute_0_38]) ).
cnf(refute_0_43,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_42,refute_0_37]) ).
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,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_43,refute_0_35]) ).
cnf(refute_0_45,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_32:[bind(A,$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_41]) ).
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,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_46,refute_0_48]) ).
cnf(refute_0_50,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357),
inference(subst,[],[refute_0_49:[bind(X_153,$fot(X_356)),bind(X_154,$fot(X_357))]]) ).
cnf(refute_0_51,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_52,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357)
| eqangle(X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_51:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_356)),bind(D,$fot(X_357)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1)),bind(U,$fot(X_356)),bind(V,$fot(X_357))]]) ).
cnf(refute_0_53,plain,
eqangle(X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357) )],[refute_0_50,refute_0_52]) ).
cnf(refute_0_54,plain,
eqangle(X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_53:[bind(X_356,$fot(X_358)),bind(X_357,$fot(X_359))]]) ).
cnf(refute_0_55,plain,
para(X_358,X_359,X_358,X_359),
inference(resolve,[$cnf( eqangle(X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_54,refute_0_33]) ).
cnf(refute_0_56,plain,
para(X_360,X_361,X_360,X_361),
inference(subst,[],[refute_0_55:[bind(X_358,$fot(X_360)),bind(X_359,$fot(X_361))]]) ).
cnf(refute_0_57,plain,
coll(X_360,X_361,X_361),
inference(resolve,[$cnf( para(X_360,X_361,X_360,X_361) )],[refute_0_56,refute_0_31]) ).
cnf(refute_0_58,plain,
coll(X_362,X_363,X_363),
inference(subst,[],[refute_0_57:[bind(X_360,$fot(X_362)),bind(X_361,$fot(X_363))]]) ).
cnf(refute_0_59,plain,
coll(X_363,X_363,X_362),
inference(resolve,[$cnf( coll(X_362,X_363,X_363) )],[refute_0_58,refute_0_29]) ).
cnf(refute_0_60,plain,
coll(X_365,X_365,X_364),
inference(subst,[],[refute_0_59:[bind(X_362,$fot(X_364)),bind(X_363,$fot(X_365))]]) ).
cnf(refute_0_61,plain,
coll(X_365,X_364,X_365),
inference(resolve,[$cnf( coll(X_365,X_365,X_364) )],[refute_0_60,refute_0_27]) ).
cnf(refute_0_62,plain,
coll(D,D,D),
inference(subst,[],[refute_0_61:[bind(X_364,$fot(D)),bind(X_365,$fot(D))]]) ).
cnf(refute_0_63,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_62,refute_0_25]) ).
cnf(refute_0_64,plain,
( ~ midp(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,Q),skolemFOFtoCNF_A,Q) ),
inference(subst,[],[refute_0_63:[bind(D,$fot(skolemFOFtoCNF_A)),bind(N,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_65,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_66,plain,
( ~ midp(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_65:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_67,plain,
midp(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_39,refute_0_66]) ).
cnf(refute_0_68,plain,
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_69,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_68:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_70,plain,
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_71,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_72,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_68:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_73,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_74,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_D)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_75,plain,
eqangle(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_76,plain,
( ~ eqangle(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_51:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_D)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_A)),bind(V,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_77,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_77,refute_0_74]) ).
cnf(refute_0_79,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_78,refute_0_73]) ).
cnf(refute_0_80,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_79,refute_0_72]) ).
cnf(refute_0_81,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_80,refute_0_71]) ).
cnf(refute_0_82,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_81,refute_0_69]) ).
cnf(refute_0_83,plain,
( ~ midp(X_2635,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| midp(X_2635,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(M,$fot(X_2635))]]) ).
cnf(refute_0_84,plain,
( ~ midp(X_2635,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(X_2635,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
( ~ midp(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_84:[bind(X_2635,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_86,plain,
midp(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_67,refute_0_85]) ).
cnf(refute_0_87,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,Q),skolemFOFtoCNF_A,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_86,refute_0_64]) ).
cnf(refute_0_88,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_87:[bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_89,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_88,refute_0_23]) ).
cnf(refute_0_90,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_91,plain,
( ~ coll(X_1943,skolemFOFtoCNF_A,C)
| ~ coll(X_1943,skolemFOFtoCNF_A,X_1944)
| coll(C,X_1944,X_1943) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_1943)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1944))]]) ).
cnf(refute_0_92,plain,
( ~ coll(X_1910,skolemFOFtoCNF_G,C)
| ~ coll(X_1910,skolemFOFtoCNF_G,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,X_1910) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_1910)),bind(B,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_93,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_94,plain,
( ~ coll(skolemFOFtoCNF_G,X_1908,skolemFOFtoCNF_A)
| coll(X_1908,skolemFOFtoCNF_G,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_93:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(X_1908)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_95,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_96,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_97,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_99,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1854)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,X_1854,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_1854))]]) ).
cnf(refute_0_101,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1854)
| coll(skolemFOFtoCNF_G,X_1854,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_G) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1854),
inference(subst,[],[refute_0_59:[bind(X_362,$fot(X_1854)),bind(X_363,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_103,plain,
coll(skolemFOFtoCNF_G,X_1854,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1854) )],[refute_0_102,refute_0_101]) ).
cnf(refute_0_104,plain,
coll(skolemFOFtoCNF_G,X_1908,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_103:[bind(X_1854,$fot(X_1908))]]) ).
cnf(refute_0_105,plain,
coll(X_1908,skolemFOFtoCNF_G,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,X_1908,skolemFOFtoCNF_A) )],[refute_0_104,refute_0_94]) ).
cnf(refute_0_106,plain,
coll(X_1910,skolemFOFtoCNF_G,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_105:[bind(X_1908,$fot(X_1910))]]) ).
cnf(refute_0_107,plain,
( ~ coll(X_1910,skolemFOFtoCNF_G,C)
| coll(C,skolemFOFtoCNF_A,X_1910) ),
inference(resolve,[$cnf( coll(X_1910,skolemFOFtoCNF_G,skolemFOFtoCNF_A) )],[refute_0_106,refute_0_92]) ).
cnf(refute_0_108,plain,
coll(X_1852,X_1852,X_1853),
inference(subst,[],[refute_0_59:[bind(X_362,$fot(X_1853)),bind(X_363,$fot(X_1852))]]) ).
cnf(refute_0_109,plain,
( ~ coll(X_1852,X_1852,X_1853)
| ~ coll(X_1852,X_1852,X_1854)
| coll(X_1853,X_1854,X_1852) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_1852)),bind(B,$fot(X_1852)),bind(C,$fot(X_1853)),bind(D,$fot(X_1854))]]) ).
cnf(refute_0_110,plain,
( ~ coll(X_1852,X_1852,X_1854)
| coll(X_1853,X_1854,X_1852) ),
inference(resolve,[$cnf( coll(X_1852,X_1852,X_1853) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
coll(X_1852,X_1852,X_1854),
inference(subst,[],[refute_0_59:[bind(X_362,$fot(X_1854)),bind(X_363,$fot(X_1852))]]) ).
cnf(refute_0_112,plain,
coll(X_1853,X_1854,X_1852),
inference(resolve,[$cnf( coll(X_1852,X_1852,X_1854) )],[refute_0_111,refute_0_110]) ).
cnf(refute_0_113,plain,
coll(X_1910,skolemFOFtoCNF_G,C),
inference(subst,[],[refute_0_112:[bind(X_1852,$fot(C)),bind(X_1853,$fot(X_1910)),bind(X_1854,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_114,plain,
coll(C,skolemFOFtoCNF_A,X_1910),
inference(resolve,[$cnf( coll(X_1910,skolemFOFtoCNF_G,C) )],[refute_0_113,refute_0_107]) ).
cnf(refute_0_115,plain,
coll(X_1943,skolemFOFtoCNF_A,X_1944),
inference(subst,[],[refute_0_114:[bind(C,$fot(X_1943)),bind(X_1910,$fot(X_1944))]]) ).
cnf(refute_0_116,plain,
( ~ coll(X_1943,skolemFOFtoCNF_A,C)
| coll(C,X_1944,X_1943) ),
inference(resolve,[$cnf( coll(X_1943,skolemFOFtoCNF_A,X_1944) )],[refute_0_115,refute_0_91]) ).
cnf(refute_0_117,plain,
( ~ coll(X_1935,skolemFOFtoCNF_C_1,C)
| ~ coll(X_1935,skolemFOFtoCNF_C_1,X_1936)
| coll(C,X_1936,X_1935) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_1935)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1936))]]) ).
cnf(refute_0_118,plain,
( ~ coll(X_1920,X_1921,skolemFOFtoCNF_C_1)
| coll(X_1920,skolemFOFtoCNF_C_1,X_1921) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_1920)),bind(B,$fot(X_1921)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_119,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,C)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,X_1919)
| coll(C,X_1919,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_1919))]]) ).
cnf(refute_0_120,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_1862,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,X_1862) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1862)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_121,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_93:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_122,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_123,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_93:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_124,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_126,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_126,refute_0_121]) ).
cnf(refute_0_128,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_129,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1854)
| ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_1854,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1854))]]) ).
cnf(refute_0_131,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1854)
| coll(skolemFOFtoCNF_C_1,X_1854,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1854),
inference(subst,[],[refute_0_59:[bind(X_362,$fot(X_1854)),bind(X_363,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_133,plain,
coll(skolemFOFtoCNF_C_1,X_1854,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1854) )],[refute_0_132,refute_0_131]) ).
cnf(refute_0_134,plain,
coll(skolemFOFtoCNF_C_1,X_1862,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_133:[bind(X_1854,$fot(X_1862))]]) ).
cnf(refute_0_135,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,X_1862),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_1862,skolemFOFtoCNF_E) )],[refute_0_134,refute_0_120]) ).
cnf(refute_0_136,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,X_1919),
inference(subst,[],[refute_0_135:[bind(X_1862,$fot(X_1919))]]) ).
cnf(refute_0_137,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,C)
| coll(C,X_1919,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,X_1919) )],[refute_0_136,refute_0_119]) ).
cnf(refute_0_138,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_112:[bind(X_1852,$fot(C)),bind(X_1853,$fot(skolemFOFtoCNF_C_1)),bind(X_1854,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_139,plain,
coll(C,X_1919,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,C) )],[refute_0_138,refute_0_137]) ).
cnf(refute_0_140,plain,
coll(X_1920,X_1921,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_139:[bind(C,$fot(X_1920)),bind(X_1919,$fot(X_1921))]]) ).
cnf(refute_0_141,plain,
coll(X_1920,skolemFOFtoCNF_C_1,X_1921),
inference(resolve,[$cnf( coll(X_1920,X_1921,skolemFOFtoCNF_C_1) )],[refute_0_140,refute_0_118]) ).
cnf(refute_0_142,plain,
coll(X_1935,skolemFOFtoCNF_C_1,X_1936),
inference(subst,[],[refute_0_141:[bind(X_1920,$fot(X_1935)),bind(X_1921,$fot(X_1936))]]) ).
cnf(refute_0_143,plain,
( ~ coll(X_1935,skolemFOFtoCNF_C_1,C)
| coll(C,X_1936,X_1935) ),
inference(resolve,[$cnf( coll(X_1935,skolemFOFtoCNF_C_1,X_1936) )],[refute_0_142,refute_0_117]) ).
cnf(refute_0_144,plain,
( ~ coll(X_1930,skolemFOFtoCNF_D,C)
| ~ coll(X_1930,skolemFOFtoCNF_D,X_1931)
| coll(C,X_1931,X_1930) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_1930)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_1931))]]) ).
cnf(refute_0_145,plain,
( ~ coll(X_1929,skolemFOFtoCNF_A,C)
| ~ coll(X_1929,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| coll(C,skolemFOFtoCNF_D,X_1929) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_1929)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_146,plain,
( ~ coll(skolemFOFtoCNF_D,X_1902,C)
| ~ coll(skolemFOFtoCNF_D,X_1902,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_1902)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_147,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_93:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_148,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_149,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_150,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_150,refute_0_147]) ).
cnf(refute_0_152,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_153,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1854)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,X_1854,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_1854))]]) ).
cnf(refute_0_155,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1854)
| coll(skolemFOFtoCNF_D,X_1854,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
coll(skolemFOFtoCNF_D,X_1854,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1854) )],[refute_0_102,refute_0_155]) ).
cnf(refute_0_157,plain,
coll(skolemFOFtoCNF_D,X_1902,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_156:[bind(X_1854,$fot(X_1902))]]) ).
cnf(refute_0_158,plain,
( ~ coll(skolemFOFtoCNF_D,X_1902,C)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_1902,skolemFOFtoCNF_A) )],[refute_0_157,refute_0_146]) ).
cnf(refute_0_159,plain,
coll(skolemFOFtoCNF_D,X_1902,C),
inference(subst,[],[refute_0_112:[bind(X_1852,$fot(C)),bind(X_1853,$fot(skolemFOFtoCNF_D)),bind(X_1854,$fot(X_1902))]]) ).
cnf(refute_0_160,plain,
coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_1902,C) )],[refute_0_159,refute_0_158]) ).
cnf(refute_0_161,plain,
coll(X_1929,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_160:[bind(C,$fot(X_1929))]]) ).
cnf(refute_0_162,plain,
( ~ coll(X_1929,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_D,X_1929) ),
inference(resolve,[$cnf( coll(X_1929,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_161,refute_0_145]) ).
cnf(refute_0_163,plain,
( ~ coll(X_1927,skolemFOFtoCNF_G,C)
| ~ coll(X_1927,skolemFOFtoCNF_G,X_1928)
| coll(C,X_1928,X_1927) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_1927)),bind(B,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_1928))]]) ).
cnf(refute_0_164,plain,
( ~ coll(X_1893,skolemFOFtoCNF_A,C)
| ~ coll(X_1893,skolemFOFtoCNF_A,skolemFOFtoCNF_G)
| coll(C,skolemFOFtoCNF_G,X_1893) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_1893)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_165,plain,
( ~ coll(skolemFOFtoCNF_A,X_1885,skolemFOFtoCNF_G)
| coll(X_1885,skolemFOFtoCNF_A,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_93:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1885)),bind(C,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_166,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_93:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_167,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_95,refute_0_166]) ).
cnf(refute_0_168,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_169,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_D) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_171,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_G) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1854)
| ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_1854,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1854))]]) ).
cnf(refute_0_173,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1854)
| coll(skolemFOFtoCNF_A,X_1854,skolemFOFtoCNF_G) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_A) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1854),
inference(subst,[],[refute_0_59:[bind(X_362,$fot(X_1854)),bind(X_363,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_175,plain,
coll(skolemFOFtoCNF_A,X_1854,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1854) )],[refute_0_174,refute_0_173]) ).
cnf(refute_0_176,plain,
coll(skolemFOFtoCNF_A,X_1885,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_175:[bind(X_1854,$fot(X_1885))]]) ).
cnf(refute_0_177,plain,
coll(X_1885,skolemFOFtoCNF_A,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1885,skolemFOFtoCNF_G) )],[refute_0_176,refute_0_165]) ).
cnf(refute_0_178,plain,
coll(X_1893,skolemFOFtoCNF_A,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_177:[bind(X_1885,$fot(X_1893))]]) ).
cnf(refute_0_179,plain,
( ~ coll(X_1893,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_G,X_1893) ),
inference(resolve,[$cnf( coll(X_1893,skolemFOFtoCNF_A,skolemFOFtoCNF_G) )],[refute_0_178,refute_0_164]) ).
cnf(refute_0_180,plain,
coll(X_1893,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_112:[bind(X_1852,$fot(C)),bind(X_1853,$fot(X_1893)),bind(X_1854,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_181,plain,
coll(C,skolemFOFtoCNF_G,X_1893),
inference(resolve,[$cnf( coll(X_1893,skolemFOFtoCNF_A,C) )],[refute_0_180,refute_0_179]) ).
cnf(refute_0_182,plain,
coll(X_1927,skolemFOFtoCNF_G,X_1928),
inference(subst,[],[refute_0_181:[bind(C,$fot(X_1927)),bind(X_1893,$fot(X_1928))]]) ).
cnf(refute_0_183,plain,
( ~ coll(X_1927,skolemFOFtoCNF_G,C)
| coll(C,X_1928,X_1927) ),
inference(resolve,[$cnf( coll(X_1927,skolemFOFtoCNF_G,X_1928) )],[refute_0_182,refute_0_163]) ).
cnf(refute_0_184,plain,
coll(X_1927,skolemFOFtoCNF_G,C),
inference(subst,[],[refute_0_112:[bind(X_1852,$fot(C)),bind(X_1853,$fot(X_1927)),bind(X_1854,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_185,plain,
coll(C,X_1928,X_1927),
inference(resolve,[$cnf( coll(X_1927,skolemFOFtoCNF_G,C) )],[refute_0_184,refute_0_183]) ).
cnf(refute_0_186,plain,
coll(X_1929,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_185:[bind(C,$fot(X_1929)),bind(X_1927,$fot(C)),bind(X_1928,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_187,plain,
coll(C,skolemFOFtoCNF_D,X_1929),
inference(resolve,[$cnf( coll(X_1929,skolemFOFtoCNF_A,C) )],[refute_0_186,refute_0_162]) ).
cnf(refute_0_188,plain,
coll(X_1930,skolemFOFtoCNF_D,X_1931),
inference(subst,[],[refute_0_187:[bind(C,$fot(X_1930)),bind(X_1929,$fot(X_1931))]]) ).
cnf(refute_0_189,plain,
( ~ coll(X_1930,skolemFOFtoCNF_D,C)
| coll(C,X_1931,X_1930) ),
inference(resolve,[$cnf( coll(X_1930,skolemFOFtoCNF_D,X_1931) )],[refute_0_188,refute_0_144]) ).
cnf(refute_0_190,plain,
coll(X_1930,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_185:[bind(C,$fot(X_1930)),bind(X_1927,$fot(C)),bind(X_1928,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_191,plain,
coll(C,X_1931,X_1930),
inference(resolve,[$cnf( coll(X_1930,skolemFOFtoCNF_D,C) )],[refute_0_190,refute_0_189]) ).
cnf(refute_0_192,plain,
coll(X_1935,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_191:[bind(C,$fot(X_1935)),bind(X_1930,$fot(C)),bind(X_1931,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_193,plain,
coll(C,X_1936,X_1935),
inference(resolve,[$cnf( coll(X_1935,skolemFOFtoCNF_C_1,C) )],[refute_0_192,refute_0_143]) ).
cnf(refute_0_194,plain,
coll(X_1943,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_193:[bind(C,$fot(X_1943)),bind(X_1935,$fot(C)),bind(X_1936,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_195,plain,
coll(C,X_1944,X_1943),
inference(resolve,[$cnf( coll(X_1943,skolemFOFtoCNF_A,C) )],[refute_0_194,refute_0_116]) ).
cnf(refute_0_196,plain,
coll(O,A,C),
inference(subst,[],[refute_0_195:[bind(C,$fot(O)),bind(X_1943,$fot(C)),bind(X_1944,$fot(A))]]) ).
cnf(refute_0_197,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_196,refute_0_90]) ).
cnf(refute_0_198,plain,
( ~ circle(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_197:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_199,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_200,plain,
( ~ cong(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_H,skolemFOFtoCNF_A)
| circle(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_199:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_201,plain,
( ~ midp(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_H,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_202,plain,
cong(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_H,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_86,refute_0_201]) ).
cnf(refute_0_203,plain,
circle(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_H,skolemFOFtoCNF_A) )],[refute_0_202,refute_0_200]) ).
cnf(refute_0_204,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_203,refute_0_198]) ).
cnf(refute_0_205,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_204,refute_0_89]) ).
cnf(refute_0_206,plain,
( ~ para(skolemFOFtoCNF_A,D,skolemFOFtoCNF_A,D)
| midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),D,D) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_205,refute_0_21]) ).
cnf(refute_0_207,plain,
para(skolemFOFtoCNF_A,D,skolemFOFtoCNF_A,D),
inference(subst,[],[refute_0_55:[bind(X_358,$fot(skolemFOFtoCNF_A)),bind(X_359,$fot(D))]]) ).
cnf(refute_0_208,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),D,D),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,D,skolemFOFtoCNF_A,D) )],[refute_0_207,refute_0_206]) ).
cnf(refute_0_209,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_2644,X_2644),
inference(subst,[],[refute_0_208:[bind(D,$fot(X_2644))]]) ).
cnf(refute_0_210,plain,
cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_2644,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_2644),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_2644,X_2644) )],[refute_0_209,refute_0_20]) ).
cnf(refute_0_211,plain,
cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_2855,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_2855),
inference(subst,[],[refute_0_210:[bind(X_2644,$fot(X_2855))]]) ).
cnf(refute_0_212,plain,
cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_2855,X_2855,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_2855,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_2855) )],[refute_0_211,refute_0_18]) ).
cnf(refute_0_213,plain,
cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3002,X_3002,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_212:[bind(X_2855,$fot(X_3002))]]) ).
cnf(refute_0_214,plain,
cong(X_3002,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3002),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3002,X_3002,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) )],[refute_0_213,refute_0_17]) ).
cnf(refute_0_215,plain,
cong(X_3004,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3004),
inference(subst,[],[refute_0_214:[bind(X_3002,$fot(X_3004))]]) ).
cnf(refute_0_216,plain,
cong(X_3004,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3004,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( cong(X_3004,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3004) )],[refute_0_215,refute_0_16]) ).
cnf(refute_0_217,plain,
cong(X_3006,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3006,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_216:[bind(X_3004,$fot(X_3006))]]) ).
cnf(refute_0_218,plain,
( ~ coll(X_3006,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A))
| midp(X_3006,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( cong(X_3006,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3006,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) )],[refute_0_217,refute_0_15]) ).
cnf(refute_0_219,plain,
coll(X_3006,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_195:[bind(C,$fot(X_3006)),bind(X_1943,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(X_1944,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_220,plain,
midp(X_3006,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( coll(X_3006,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) )],[refute_0_219,refute_0_218]) ).
cnf(refute_0_221,plain,
midp(X_3007,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_220:[bind(X_3006,$fot(X_3007))]]) ).
cnf(refute_0_222,plain,
( ~ para(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),D,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),D)
| midp(X_3007,D,D) ),
inference(resolve,[$cnf( midp(X_3007,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) )],[refute_0_221,refute_0_13]) ).
cnf(refute_0_223,plain,
para(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),D,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),D),
inference(subst,[],[refute_0_55:[bind(X_358,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(X_359,$fot(D))]]) ).
cnf(refute_0_224,plain,
midp(X_3007,D,D),
inference(resolve,[$cnf( para(skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),D,skolemFOFtoCNF_P_7(skolemFOFtoCNF_A,skolemFOFtoCNF_A),D) )],[refute_0_223,refute_0_222]) ).
cnf(refute_0_225,plain,
midp(X_8452,X_8451,X_8451),
inference(subst,[],[refute_0_224:[bind(D,$fot(X_8451)),bind(X_3007,$fot(X_8452))]]) ).
cnf(refute_0_226,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_227,plain,
( ~ midp(X_8452,X_8451,X_8451)
| ~ perp(X_8451,X_8450,X_8450,X_8451)
| cong(X_8451,X_8452,X_8450,X_8452) ),
inference(subst,[],[refute_0_226:[bind(A,$fot(X_8451)),bind(B,$fot(X_8450)),bind(C,$fot(X_8451)),bind(M,$fot(X_8452))]]) ).
cnf(refute_0_228,plain,
( ~ perp(X_8451,X_8450,X_8450,X_8451)
| cong(X_8451,X_8452,X_8450,X_8452) ),
inference(resolve,[$cnf( midp(X_8452,X_8451,X_8451) )],[refute_0_225,refute_0_227]) ).
cnf(refute_0_229,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_230,plain,
( ~ cong(X_4450,X_4451,X_4450,X_4451)
| ~ cyclic(X_4450,X_4450,X_4451,X_4451)
| perp(X_4451,X_4450,X_4450,X_4451) ),
inference(subst,[],[refute_0_229:[bind(A,$fot(X_4450)),bind(B,$fot(X_4450)),bind(P,$fot(X_4451)),bind(Q,$fot(X_4451))]]) ).
cnf(refute_0_231,plain,
( ~ cyclic(X_4448,X_4448,X_4448,X_4449)
| cyclic(X_4448,X_4448,X_4449,X_4449) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_4448)),bind(B,$fot(X_4448)),bind(C,$fot(X_4448)),bind(D,$fot(X_4449)),bind(E,$fot(X_4449))]]) ).
cnf(refute_0_232,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_233,plain,
( ~ cyclic(X_4446,X_4446,X_4447,X_4446)
| cyclic(X_4446,X_4446,X_4446,X_4447) ),
inference(subst,[],[refute_0_232:[bind(A,$fot(X_4446)),bind(B,$fot(X_4446)),bind(C,$fot(X_4447)),bind(D,$fot(X_4446))]]) ).
cnf(refute_0_234,plain,
( ~ cyclic(X_4444,X_4445,X_4444,X_4444)
| cyclic(X_4444,X_4444,X_4445,X_4444) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_4444)),bind(B,$fot(X_4445)),bind(C,$fot(X_4444)),bind(D,$fot(X_4444))]]) ).
cnf(refute_0_235,plain,
( ~ cyclic(X_4443,X_4442,X_4442,X_4442)
| cyclic(X_4442,X_4443,X_4442,X_4442) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_4443)),bind(B,$fot(X_4442)),bind(C,$fot(X_4442)),bind(D,$fot(X_4442))]]) ).
cnf(refute_0_236,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_4441,X_4440),X_4441,skolemFOFtoCNF_P_1(X_4441,X_4440),X_4440)
| cyclic(X_4441,X_4440,X_4440,X_4440) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_4441)),bind(B,$fot(X_4440)),bind(C,$fot(X_4440)),bind(D,$fot(X_4440)),bind(O,$fot(skolemFOFtoCNF_P_1(X_4441,X_4440)))]]) ).
cnf(refute_0_237,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_2667,X_2666),X_2667,X_2666)
| cong(skolemFOFtoCNF_P_1(X_2667,X_2666),X_2667,skolemFOFtoCNF_P_1(X_2667,X_2666),X_2666) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(skolemFOFtoCNF_P_1(X_2667,X_2666))),bind(B,$fot(X_2667)),bind(C,$fot(X_2666))]]) ).
cnf(refute_0_238,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_H),X_2664,X_2664)
| midp(skolemFOFtoCNF_P_1(X_2664,Q),X_2664,Q) ),
inference(subst,[],[refute_0_63:[bind(D,$fot(X_2664)),bind(N,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_H)))]]) ).
cnf(refute_0_239,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_H),skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ para(skolemFOFtoCNF_A,D,skolemFOFtoCNF_A,D)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_H),D,D) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(D)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_H)))]]) ).
cnf(refute_0_240,plain,
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_241,plain,
( ~ midp(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_H),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_240:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_H)),bind(N,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_242,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_H),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_67,refute_0_241]) ).
cnf(refute_0_243,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_H),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_H),skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_84:[bind(X_2635,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_H)))]]) ).
cnf(refute_0_244,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_H),skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_H),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
( ~ para(skolemFOFtoCNF_A,D,skolemFOFtoCNF_A,D)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_H),D,D) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_H),skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_244,refute_0_239]) ).
cnf(refute_0_246,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_H),D,D),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,D,skolemFOFtoCNF_A,D) )],[refute_0_207,refute_0_245]) ).
cnf(refute_0_247,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_H),X_2664,X_2664),
inference(subst,[],[refute_0_246:[bind(D,$fot(X_2664))]]) ).
cnf(refute_0_248,plain,
midp(skolemFOFtoCNF_P_1(X_2664,Q),X_2664,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_H),X_2664,X_2664) )],[refute_0_247,refute_0_238]) ).
cnf(refute_0_249,plain,
midp(skolemFOFtoCNF_P_1(X_2667,X_2666),X_2667,X_2666),
inference(subst,[],[refute_0_248:[bind(Q,$fot(X_2666)),bind(X_2664,$fot(X_2667))]]) ).
cnf(refute_0_250,plain,
cong(skolemFOFtoCNF_P_1(X_2667,X_2666),X_2667,skolemFOFtoCNF_P_1(X_2667,X_2666),X_2666),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_2667,X_2666),X_2667,X_2666) )],[refute_0_249,refute_0_237]) ).
cnf(refute_0_251,plain,
cong(skolemFOFtoCNF_P_1(X_4441,X_4440),X_4441,skolemFOFtoCNF_P_1(X_4441,X_4440),X_4440),
inference(subst,[],[refute_0_250:[bind(X_2666,$fot(X_4440)),bind(X_2667,$fot(X_4441))]]) ).
cnf(refute_0_252,plain,
cyclic(X_4441,X_4440,X_4440,X_4440),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_4441,X_4440),X_4441,skolemFOFtoCNF_P_1(X_4441,X_4440),X_4440) )],[refute_0_251,refute_0_236]) ).
cnf(refute_0_253,plain,
cyclic(X_4443,X_4442,X_4442,X_4442),
inference(subst,[],[refute_0_252:[bind(X_4440,$fot(X_4442)),bind(X_4441,$fot(X_4443))]]) ).
cnf(refute_0_254,plain,
cyclic(X_4442,X_4443,X_4442,X_4442),
inference(resolve,[$cnf( cyclic(X_4443,X_4442,X_4442,X_4442) )],[refute_0_253,refute_0_235]) ).
cnf(refute_0_255,plain,
cyclic(X_4444,X_4445,X_4444,X_4444),
inference(subst,[],[refute_0_254:[bind(X_4442,$fot(X_4444)),bind(X_4443,$fot(X_4445))]]) ).
cnf(refute_0_256,plain,
cyclic(X_4444,X_4444,X_4445,X_4444),
inference(resolve,[$cnf( cyclic(X_4444,X_4445,X_4444,X_4444) )],[refute_0_255,refute_0_234]) ).
cnf(refute_0_257,plain,
cyclic(X_4446,X_4446,X_4447,X_4446),
inference(subst,[],[refute_0_256:[bind(X_4444,$fot(X_4446)),bind(X_4445,$fot(X_4447))]]) ).
cnf(refute_0_258,plain,
cyclic(X_4446,X_4446,X_4446,X_4447),
inference(resolve,[$cnf( cyclic(X_4446,X_4446,X_4447,X_4446) )],[refute_0_257,refute_0_233]) ).
cnf(refute_0_259,plain,
cyclic(X_4448,X_4448,X_4448,X_4449),
inference(subst,[],[refute_0_258:[bind(X_4446,$fot(X_4448)),bind(X_4447,$fot(X_4449))]]) ).
cnf(refute_0_260,plain,
cyclic(X_4448,X_4448,X_4449,X_4449),
inference(resolve,[$cnf( cyclic(X_4448,X_4448,X_4448,X_4449) )],[refute_0_259,refute_0_231]) ).
cnf(refute_0_261,plain,
cyclic(X_4450,X_4450,X_4451,X_4451),
inference(subst,[],[refute_0_260:[bind(X_4448,$fot(X_4450)),bind(X_4449,$fot(X_4451))]]) ).
cnf(refute_0_262,plain,
( ~ cong(X_4450,X_4451,X_4450,X_4451)
| perp(X_4451,X_4450,X_4450,X_4451) ),
inference(resolve,[$cnf( cyclic(X_4450,X_4450,X_4451,X_4451) )],[refute_0_261,refute_0_230]) ).
cnf(refute_0_263,plain,
( ~ midp(X_3009,X_3008,X_3008)
| cong(X_3009,X_3008,X_3009,X_3008) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_3009)),bind(B,$fot(X_3008)),bind(C,$fot(X_3008))]]) ).
cnf(refute_0_264,plain,
midp(X_3009,X_3008,X_3008),
inference(subst,[],[refute_0_224:[bind(D,$fot(X_3008)),bind(X_3007,$fot(X_3009))]]) ).
cnf(refute_0_265,plain,
cong(X_3009,X_3008,X_3009,X_3008),
inference(resolve,[$cnf( midp(X_3009,X_3008,X_3008) )],[refute_0_264,refute_0_263]) ).
cnf(refute_0_266,plain,
cong(X_4450,X_4451,X_4450,X_4451),
inference(subst,[],[refute_0_265:[bind(X_3008,$fot(X_4451)),bind(X_3009,$fot(X_4450))]]) ).
cnf(refute_0_267,plain,
perp(X_4451,X_4450,X_4450,X_4451),
inference(resolve,[$cnf( cong(X_4450,X_4451,X_4450,X_4451) )],[refute_0_266,refute_0_262]) ).
cnf(refute_0_268,plain,
perp(X_8451,X_8450,X_8450,X_8451),
inference(subst,[],[refute_0_267:[bind(X_4450,$fot(X_8450)),bind(X_4451,$fot(X_8451))]]) ).
cnf(refute_0_269,plain,
cong(X_8451,X_8452,X_8450,X_8452),
inference(resolve,[$cnf( perp(X_8451,X_8450,X_8450,X_8451) )],[refute_0_268,refute_0_228]) ).
cnf(refute_0_270,plain,
cong(X_8463,X_8464,X_8462,X_8464),
inference(subst,[],[refute_0_269:[bind(X_8450,$fot(X_8462)),bind(X_8451,$fot(X_8463)),bind(X_8452,$fot(X_8464))]]) ).
cnf(refute_0_271,plain,
cong(X_8463,X_8464,X_8464,X_8462),
inference(resolve,[$cnf( cong(X_8463,X_8464,X_8462,X_8464) )],[refute_0_270,refute_0_11]) ).
cnf(refute_0_272,plain,
cong(X_8556,X_8557,X_8557,X_8555),
inference(subst,[],[refute_0_271:[bind(X_8462,$fot(X_8555)),bind(X_8463,$fot(X_8556)),bind(X_8464,$fot(X_8557))]]) ).
cnf(refute_0_273,plain,
cong(X_8557,X_8555,X_8556,X_8557),
inference(resolve,[$cnf( cong(X_8556,X_8557,X_8557,X_8555) )],[refute_0_272,refute_0_10]) ).
cnf(refute_0_274,plain,
cong(X_8594,X_8592,X_8593,X_8594),
inference(subst,[],[refute_0_273:[bind(X_8555,$fot(X_8592)),bind(X_8556,$fot(X_8593)),bind(X_8557,$fot(X_8594))]]) ).
cnf(refute_0_275,plain,
cong(X_8594,X_8592,X_8594,X_8593),
inference(resolve,[$cnf( cong(X_8594,X_8592,X_8593,X_8594) )],[refute_0_274,refute_0_8]) ).
cnf(refute_0_276,plain,
cong(O,A,O,C),
inference(subst,[],[refute_0_275:[bind(X_8592,$fot(A)),bind(X_8593,$fot(C)),bind(X_8594,$fot(O))]]) ).
cnf(refute_0_277,plain,
( ~ cong(O,A,O,D)
| cyclic(A,C,C,D) ),
inference(resolve,[$cnf( cong(O,A,O,C) )],[refute_0_276,refute_0_6]) ).
cnf(refute_0_278,plain,
cong(O,A,O,D),
inference(subst,[],[refute_0_275:[bind(X_8592,$fot(A)),bind(X_8593,$fot(D)),bind(X_8594,$fot(O))]]) ).
cnf(refute_0_279,plain,
cyclic(A,C,C,D),
inference(resolve,[$cnf( cong(O,A,O,D) )],[refute_0_278,refute_0_277]) ).
cnf(refute_0_280,plain,
cyclic(X_10410,X_10411,X_10411,X_10412),
inference(subst,[],[refute_0_279:[bind(A,$fot(X_10410)),bind(C,$fot(X_10411)),bind(D,$fot(X_10412))]]) ).
cnf(refute_0_281,plain,
cyclic(X_10411,X_10410,X_10411,X_10412),
inference(resolve,[$cnf( cyclic(X_10410,X_10411,X_10411,X_10412) )],[refute_0_280,refute_0_4]) ).
cnf(refute_0_282,plain,
cyclic(X_10414,X_10413,X_10414,X_10415),
inference(subst,[],[refute_0_281:[bind(X_10410,$fot(X_10413)),bind(X_10411,$fot(X_10414)),bind(X_10412,$fot(X_10415))]]) ).
cnf(refute_0_283,plain,
cyclic(X_10414,X_10414,X_10413,X_10415),
inference(resolve,[$cnf( cyclic(X_10414,X_10413,X_10414,X_10415) )],[refute_0_282,refute_0_2]) ).
cnf(refute_0_284,plain,
cyclic(X_10577,X_10577,X_10578,X_10579),
inference(subst,[],[refute_0_283:[bind(X_10413,$fot(X_10578)),bind(X_10414,$fot(X_10577)),bind(X_10415,$fot(X_10579))]]) ).
cnf(refute_0_285,plain,
( ~ cyclic(X_10577,X_10577,X_10578,X_10579)
| ~ cyclic(X_10577,X_10577,X_10578,X_10580)
| cyclic(X_10577,X_10578,X_10579,X_10580) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_10577)),bind(B,$fot(X_10577)),bind(C,$fot(X_10578)),bind(D,$fot(X_10579)),bind(E,$fot(X_10580))]]) ).
cnf(refute_0_286,plain,
( ~ cyclic(X_10577,X_10577,X_10578,X_10580)
| cyclic(X_10577,X_10578,X_10579,X_10580) ),
inference(resolve,[$cnf( cyclic(X_10577,X_10577,X_10578,X_10579) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
cyclic(X_10577,X_10577,X_10578,X_10580),
inference(subst,[],[refute_0_283:[bind(X_10413,$fot(X_10578)),bind(X_10414,$fot(X_10577)),bind(X_10415,$fot(X_10580))]]) ).
cnf(refute_0_288,plain,
cyclic(X_10577,X_10578,X_10579,X_10580),
inference(resolve,[$cnf( cyclic(X_10577,X_10577,X_10578,X_10580) )],[refute_0_287,refute_0_286]) ).
cnf(refute_0_289,plain,
cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_288:[bind(X_10577,$fot(skolemFOFtoCNF_E)),bind(X_10578,$fot(skolemFOFtoCNF_F)),bind(X_10579,$fot(skolemFOFtoCNF_G)),bind(X_10580,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_290,plain,
$false,
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_H) )],[refute_0_289,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO580+1 : TPTP v8.1.0. Released v7.5.0.
% 0.02/0.09 % Command : metis --show proof --show saturation %s
% 0.09/0.29 % Computer : n015.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Fri Jun 17 19:22:12 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.09/0.29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 36.57/36.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.57/36.85
% 36.57/36.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 36.65/36.88
%------------------------------------------------------------------------------