TSTP Solution File: GEO633+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO633+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 05:27:47 EDT 2022
% Result : Theorem 27.86s 28.04s
% Output : CNFRefutation 27.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 84
% Number of leaves : 30
% Syntax : Number of formulae : 473 ( 204 unt; 0 def)
% Number of atoms : 900 ( 0 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 765 ( 338 ~; 333 |; 62 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-6 aty)
% Number of variables : 1039 ( 207 sgn 430 !; 14 ?)
% 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(ruleD56,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q) )
=> perp(A,B,P,Q) ) ).
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(exemplo6GDDFULL8110996,conjecture,
! [A,B,C,A1,S,N,G,H] :
( ( midp(A1,C,B)
& eqangle(S,A,A,B,C,A,A,A1)
& coll(S,B,C)
& coll(N,A,A1)
& perp(G,N,A,B)
& coll(G,A,B)
& perp(H,N,A,C)
& coll(H,A,C) )
=> perp(G,H,A,S) ) ).
fof(subgoal_0,plain,
! [A,B,C,A1,S,N,G,H] :
( ( midp(A1,C,B)
& eqangle(S,A,A,B,C,A,A,A1)
& coll(S,B,C)
& coll(N,A,A1)
& perp(G,N,A,B)
& coll(G,A,B)
& perp(H,N,A,C)
& coll(H,A,C) )
=> perp(G,H,A,S) ),
inference(strip,[],[exemplo6GDDFULL8110996]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,A1,S,N,G,H] :
( ( midp(A1,C,B)
& eqangle(S,A,A,B,C,A,A,A1)
& coll(S,B,C)
& coll(N,A,A1)
& perp(G,N,A,B)
& coll(G,A,B)
& perp(H,N,A,C)
& coll(H,A,C) )
=> perp(G,H,A,S) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,A1,B,C,G,H,N,S] :
( ~ perp(G,H,A,S)
& coll(G,A,B)
& coll(H,A,C)
& coll(N,A,A1)
& coll(S,B,C)
& eqangle(S,A,A,B,C,A,A,A1)
& midp(A1,C,B)
& perp(G,N,A,B)
& perp(H,N,A,C) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ perp(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_S)
& coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A1)
& coll(skolemFOFtoCNF_S,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& eqangle(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A1)
& midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& perp(skolemFOFtoCNF_G,skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& perp(skolemFOFtoCNF_H,skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ perp(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_S),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(canonicalize,[],[ruleD56]) ).
fof(normalize_0_4,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,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_6,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,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_8,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_7]) ).
fof(normalize_0_9,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_10,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_9]) ).
fof(normalize_0_11,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_12,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_14,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_16,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,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_18,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_17]) ).
fof(normalize_0_19,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_20,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,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_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(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,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_22]) ).
fof(normalize_0_24,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_25,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_27,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_29,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD39]) ).
fof(normalize_0_31,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A,B,C,D,P,Q] :
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(clausify,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
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] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD40]) ).
fof(normalize_0_37,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [A,B,C,D,P,Q] :
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(clausify,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[ruleD19]) ).
fof(normalize_0_40,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(specialize,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[ruleD64]) ).
fof(normalize_0_42,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(specialize,[],[normalize_0_41]) ).
fof(normalize_0_43,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_44,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_43]) ).
fof(normalize_0_45,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_46,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_45]) ).
fof(normalize_0_47,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_48,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_47]) ).
fof(normalize_0_49,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_48]) ).
fof(normalize_0_50,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_49]) ).
fof(normalize_0_51,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_52,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_51]) ).
fof(normalize_0_53,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_54,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_53]) ).
fof(normalize_0_55,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[ruleD12]) ).
fof(normalize_0_56,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_55]) ).
fof(normalize_0_57,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_58,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_57]) ).
fof(normalize_0_59,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_60,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_59]) ).
fof(normalize_0_61,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_62,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_63,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_62]) ).
fof(normalize_0_64,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_65,plain,
coll(skolemFOFtoCNF_S,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_66,plain,
coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_67,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_68,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_67]) ).
fof(normalize_0_69,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_70,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_69]) ).
cnf(refute_0_0,plain,
~ perp(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_S),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ midp(M,X_2139,X_2139)
| ~ perp(X_2139,X_2138,X_2138,X_2139)
| cong(X_2139,M,X_2138,M) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_2139)),bind(B,$fot(X_2138)),bind(C,$fot(X_2139))]]) ).
cnf(refute_0_4,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ cong(X_2136,X_2137,X_2136,X_2137)
| ~ cyclic(X_2136,X_2136,X_2137,X_2137)
| perp(X_2137,X_2136,X_2136,X_2137) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_2136)),bind(B,$fot(X_2136)),bind(P,$fot(X_2137)),bind(Q,$fot(X_2137))]]) ).
cnf(refute_0_6,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ cyclic(X_2134,X_2134,X_2134,X_2135)
| cyclic(X_2134,X_2134,X_2135,X_2135) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_2134)),bind(B,$fot(X_2134)),bind(C,$fot(X_2134)),bind(D,$fot(X_2135)),bind(E,$fot(X_2135))]]) ).
cnf(refute_0_8,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_9,plain,
( ~ cyclic(X_2132,X_2132,X_2133,X_2132)
| cyclic(X_2132,X_2132,X_2132,X_2133) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_2132)),bind(B,$fot(X_2132)),bind(C,$fot(X_2133)),bind(D,$fot(X_2132))]]) ).
cnf(refute_0_10,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_11,plain,
( ~ cyclic(X_2130,X_2131,X_2130,X_2130)
| cyclic(X_2130,X_2130,X_2131,X_2130) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_2130)),bind(B,$fot(X_2131)),bind(C,$fot(X_2130)),bind(D,$fot(X_2130))]]) ).
cnf(refute_0_12,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_13,plain,
( ~ cyclic(X_2129,X_2128,X_2128,X_2128)
| cyclic(X_2128,X_2129,X_2128,X_2128) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_2129)),bind(B,$fot(X_2128)),bind(C,$fot(X_2128)),bind(D,$fot(X_2128))]]) ).
cnf(refute_0_14,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_18]) ).
cnf(refute_0_15,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_2127,X_2126),X_2127,skolemFOFtoCNF_P_1(X_2127,X_2126),X_2126)
| cyclic(X_2127,X_2126,X_2126,X_2126) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_2127)),bind(B,$fot(X_2126)),bind(C,$fot(X_2126)),bind(D,$fot(X_2126)),bind(O,$fot(skolemFOFtoCNF_P_1(X_2127,X_2126)))]]) ).
cnf(refute_0_16,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_17,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_1617,X_1616),X_1617,X_1616)
| cong(skolemFOFtoCNF_P_1(X_1617,X_1616),X_1617,skolemFOFtoCNF_P_1(X_1617,X_1616),X_1616) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_P_1(X_1617,X_1616))),bind(B,$fot(X_1617)),bind(C,$fot(X_1616))]]) ).
cnf(refute_0_18,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_23]) ).
cnf(refute_0_19,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_20,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_21,plain,
( ~ coll(X_360,X_360,X_359)
| coll(X_360,X_359,X_360) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_360)),bind(B,$fot(X_360)),bind(C,$fot(X_359))]]) ).
cnf(refute_0_22,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_23,plain,
( ~ coll(X_357,X_358,X_358)
| coll(X_358,X_358,X_357) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_357)),bind(B,$fot(X_358)),bind(C,$fot(X_358)),bind(D,$fot(X_358))]]) ).
cnf(refute_0_24,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_25,plain,
( ~ para(X_355,X_356,X_355,X_356)
| coll(X_355,X_356,X_356) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_355)),bind(B,$fot(X_356)),bind(C,$fot(X_356))]]) ).
cnf(refute_0_26,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_27,plain,
( ~ eqangle(X_353,X_354,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_353,X_354,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| para(X_353,X_354,X_353,X_354) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_353)),bind(B,$fot(X_354)),bind(C,$fot(X_353)),bind(D,$fot(X_354)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_28,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_6:[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,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_29,plain,
( ~ cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_30,plain,
midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_31,plain,
( ~ midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_32,plain,
cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1) )],[refute_0_32,refute_0_29]) ).
cnf(refute_0_34,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_33,refute_0_28]) ).
cnf(refute_0_35,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_36,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_35:[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_37,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,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_34,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_26:[bind(A,$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,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_39,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$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_37,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_41,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_40:[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_42,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_39,refute_0_41]) ).
cnf(refute_0_43,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_345,X_346,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_345,X_346),
inference(subst,[],[refute_0_42:[bind(X_153,$fot(X_345)),bind(X_154,$fot(X_346))]]) ).
cnf(refute_0_44,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_45,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_345,X_346,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_345,X_346)
| eqangle(X_345,X_346,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_345,X_346,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_345)),bind(D,$fot(X_346)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1)),bind(U,$fot(X_345)),bind(V,$fot(X_346))]]) ).
cnf(refute_0_46,plain,
eqangle(X_345,X_346,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_345,X_346,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_345,X_346,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_345,X_346) )],[refute_0_43,refute_0_45]) ).
cnf(refute_0_47,plain,
eqangle(X_353,X_354,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_353,X_354,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_46:[bind(X_345,$fot(X_353)),bind(X_346,$fot(X_354))]]) ).
cnf(refute_0_48,plain,
para(X_353,X_354,X_353,X_354),
inference(resolve,[$cnf( eqangle(X_353,X_354,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_353,X_354,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_47,refute_0_27]) ).
cnf(refute_0_49,plain,
para(X_355,X_356,X_355,X_356),
inference(subst,[],[refute_0_48:[bind(X_353,$fot(X_355)),bind(X_354,$fot(X_356))]]) ).
cnf(refute_0_50,plain,
coll(X_355,X_356,X_356),
inference(resolve,[$cnf( para(X_355,X_356,X_355,X_356) )],[refute_0_49,refute_0_25]) ).
cnf(refute_0_51,plain,
coll(X_357,X_358,X_358),
inference(subst,[],[refute_0_50:[bind(X_355,$fot(X_357)),bind(X_356,$fot(X_358))]]) ).
cnf(refute_0_52,plain,
coll(X_358,X_358,X_357),
inference(resolve,[$cnf( coll(X_357,X_358,X_358) )],[refute_0_51,refute_0_23]) ).
cnf(refute_0_53,plain,
coll(X_360,X_360,X_359),
inference(subst,[],[refute_0_52:[bind(X_357,$fot(X_359)),bind(X_358,$fot(X_360))]]) ).
cnf(refute_0_54,plain,
coll(X_360,X_359,X_360),
inference(resolve,[$cnf( coll(X_360,X_360,X_359) )],[refute_0_53,refute_0_21]) ).
cnf(refute_0_55,plain,
coll(D,D,D),
inference(subst,[],[refute_0_54:[bind(X_359,$fot(D)),bind(X_360,$fot(D))]]) ).
cnf(refute_0_56,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_55,refute_0_19]) ).
cnf(refute_0_57,plain,
( ~ midp(skolemFOFtoCNF_C_1,X_1590,X_1590)
| midp(skolemFOFtoCNF_P_1(X_1590,Q),X_1590,Q) ),
inference(subst,[],[refute_0_56:[bind(D,$fot(X_1590)),bind(N,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_58,plain,
para(X_1519,X_1520,X_1519,X_1520),
inference(subst,[],[refute_0_48:[bind(X_353,$fot(X_1519)),bind(X_354,$fot(X_1520))]]) ).
cnf(refute_0_59,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_60,plain,
( ~ midp(X_1521,X_1519,X_1519)
| ~ para(X_1519,X_1520,X_1519,X_1520)
| midp(X_1521,X_1520,X_1520) ),
inference(subst,[],[refute_0_59:[bind(A,$fot(X_1519)),bind(B,$fot(X_1519)),bind(C,$fot(X_1520)),bind(D,$fot(X_1520)),bind(M,$fot(X_1521))]]) ).
cnf(refute_0_61,plain,
( ~ midp(X_1521,X_1519,X_1519)
| midp(X_1521,X_1520,X_1520) ),
inference(resolve,[$cnf( para(X_1519,X_1520,X_1519,X_1520) )],[refute_0_58,refute_0_60]) ).
cnf(refute_0_62,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))
| midp(skolemFOFtoCNF_C_1,X_1520,X_1520) ),
inference(subst,[],[refute_0_61:[bind(X_1519,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))),bind(X_1521,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_63,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_64,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))
| ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) ),
inference(subst,[],[refute_0_63:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))),bind(C,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)))]]) ).
cnf(refute_0_65,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_66,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_65:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)))]]) ).
cnf(refute_0_67,plain,
( ~ midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_65:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_68,plain,
midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_30,refute_0_67]) ).
cnf(refute_0_69,plain,
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_70,plain,
( ~ midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_A1)),bind(N,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_71,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_68,refute_0_70]) ).
cnf(refute_0_72,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_71,refute_0_66]) ).
cnf(refute_0_73,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| ~ perp(skolemFOFtoCNF_C_1,X_1551,X_1551,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),X_1551,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1551)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)))]]) ).
cnf(refute_0_74,plain,
( ~ perp(skolemFOFtoCNF_C_1,X_1551,X_1551,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),X_1551,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) ),
inference(subst,[],[refute_0_74:[bind(X_1551,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_76,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_77,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_78,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_79,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_80,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_81,plain,
( ~ cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1)
| circle(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_82,plain,
( ~ midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_83,plain,
cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_68,refute_0_82]) ).
cnf(refute_0_84,plain,
circle(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1) )],[refute_0_83,refute_0_81]) ).
cnf(refute_0_85,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_86,plain,
( ~ coll(X_1510,skolemFOFtoCNF_A,C)
| ~ coll(X_1510,skolemFOFtoCNF_A,X_1511)
| coll(C,X_1511,X_1510) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_1510)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1511))]]) ).
cnf(refute_0_87,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_88,plain,
( ~ coll(skolemFOFtoCNF_A,X_1506,X_1507)
| coll(X_1506,skolemFOFtoCNF_A,X_1507) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1506)),bind(C,$fot(X_1507))]]) ).
cnf(refute_0_89,plain,
( ~ coll(X_1408,skolemFOFtoCNF_B_1,D)
| ~ coll(X_1408,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,D,X_1408) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_1408)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_90,plain,
( ~ coll(skolemFOFtoCNF_A,X_1399,C)
| ~ coll(skolemFOFtoCNF_A,X_1399,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1399)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_91,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_92,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_93,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_95,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1395)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_1395,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1395))]]) ).
cnf(refute_0_97,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1395)
| coll(skolemFOFtoCNF_A,X_1395,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1395),
inference(subst,[],[refute_0_52:[bind(X_357,$fot(X_1395)),bind(X_358,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_99,plain,
coll(skolemFOFtoCNF_A,X_1395,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1395) )],[refute_0_98,refute_0_97]) ).
cnf(refute_0_100,plain,
coll(skolemFOFtoCNF_A,X_1399,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_99:[bind(X_1395,$fot(X_1399))]]) ).
cnf(refute_0_101,plain,
( ~ coll(skolemFOFtoCNF_A,X_1399,C)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1399,skolemFOFtoCNF_B_1) )],[refute_0_100,refute_0_90]) ).
cnf(refute_0_102,plain,
coll(X_1393,X_1393,X_1394),
inference(subst,[],[refute_0_52:[bind(X_357,$fot(X_1394)),bind(X_358,$fot(X_1393))]]) ).
cnf(refute_0_103,plain,
( ~ coll(X_1393,X_1393,X_1394)
| ~ coll(X_1393,X_1393,X_1395)
| coll(X_1394,X_1395,X_1393) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_1393)),bind(B,$fot(X_1393)),bind(C,$fot(X_1394)),bind(D,$fot(X_1395))]]) ).
cnf(refute_0_104,plain,
( ~ coll(X_1393,X_1393,X_1395)
| coll(X_1394,X_1395,X_1393) ),
inference(resolve,[$cnf( coll(X_1393,X_1393,X_1394) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
coll(X_1393,X_1393,X_1395),
inference(subst,[],[refute_0_52:[bind(X_357,$fot(X_1395)),bind(X_358,$fot(X_1393))]]) ).
cnf(refute_0_106,plain,
coll(X_1394,X_1395,X_1393),
inference(resolve,[$cnf( coll(X_1393,X_1393,X_1395) )],[refute_0_105,refute_0_104]) ).
cnf(refute_0_107,plain,
coll(skolemFOFtoCNF_A,X_1399,C),
inference(subst,[],[refute_0_106:[bind(X_1393,$fot(C)),bind(X_1394,$fot(skolemFOFtoCNF_A)),bind(X_1395,$fot(X_1399))]]) ).
cnf(refute_0_108,plain,
coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1399,C) )],[refute_0_107,refute_0_101]) ).
cnf(refute_0_109,plain,
coll(X_1408,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_108:[bind(C,$fot(X_1408))]]) ).
cnf(refute_0_110,plain,
( ~ coll(X_1408,skolemFOFtoCNF_B_1,D)
| coll(skolemFOFtoCNF_A,D,X_1408) ),
inference(resolve,[$cnf( coll(X_1408,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_109,refute_0_89]) ).
cnf(refute_0_111,plain,
coll(X_1408,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_106:[bind(X_1393,$fot(D)),bind(X_1394,$fot(X_1408)),bind(X_1395,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_112,plain,
coll(skolemFOFtoCNF_A,D,X_1408),
inference(resolve,[$cnf( coll(X_1408,skolemFOFtoCNF_B_1,D) )],[refute_0_111,refute_0_110]) ).
cnf(refute_0_113,plain,
coll(skolemFOFtoCNF_A,X_1506,X_1507),
inference(subst,[],[refute_0_112:[bind(D,$fot(X_1506)),bind(X_1408,$fot(X_1507))]]) ).
cnf(refute_0_114,plain,
coll(X_1506,skolemFOFtoCNF_A,X_1507),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1506,X_1507) )],[refute_0_113,refute_0_88]) ).
cnf(refute_0_115,plain,
coll(X_1510,skolemFOFtoCNF_A,X_1511),
inference(subst,[],[refute_0_114:[bind(X_1506,$fot(X_1510)),bind(X_1507,$fot(X_1511))]]) ).
cnf(refute_0_116,plain,
( ~ coll(X_1510,skolemFOFtoCNF_A,C)
| coll(C,X_1511,X_1510) ),
inference(resolve,[$cnf( coll(X_1510,skolemFOFtoCNF_A,X_1511) )],[refute_0_115,refute_0_86]) ).
cnf(refute_0_117,plain,
( ~ coll(X_1508,skolemFOFtoCNF_C_1,C)
| ~ coll(X_1508,skolemFOFtoCNF_C_1,X_1509)
| coll(C,X_1509,X_1508) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_1508)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1509))]]) ).
cnf(refute_0_118,plain,
( ~ coll(X_1433,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1433,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,X_1433) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_1433)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_119,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_1432,C)
| ~ coll(skolemFOFtoCNF_C_1,X_1432,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1432)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_120,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_121,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_122,plain,
( ~ midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_121:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_123,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_30,refute_0_122]) ).
cnf(refute_0_124,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_123,refute_0_120]) ).
cnf(refute_0_125,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_126,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1395)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_1395,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1395))]]) ).
cnf(refute_0_128,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1395)
| coll(skolemFOFtoCNF_C_1,X_1395,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
coll(skolemFOFtoCNF_C_1,X_1395,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1395) )],[refute_0_98,refute_0_128]) ).
cnf(refute_0_130,plain,
coll(skolemFOFtoCNF_C_1,X_1432,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_129:[bind(X_1395,$fot(X_1432))]]) ).
cnf(refute_0_131,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_1432,C)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_1432,skolemFOFtoCNF_B_1) )],[refute_0_130,refute_0_119]) ).
cnf(refute_0_132,plain,
coll(skolemFOFtoCNF_C_1,X_1432,C),
inference(subst,[],[refute_0_106:[bind(X_1393,$fot(C)),bind(X_1394,$fot(skolemFOFtoCNF_C_1)),bind(X_1395,$fot(X_1432))]]) ).
cnf(refute_0_133,plain,
coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_1432,C) )],[refute_0_132,refute_0_131]) ).
cnf(refute_0_134,plain,
coll(X_1433,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_133:[bind(C,$fot(X_1433))]]) ).
cnf(refute_0_135,plain,
( ~ coll(X_1433,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_C_1,X_1433) ),
inference(resolve,[$cnf( coll(X_1433,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_134,refute_0_118]) ).
cnf(refute_0_136,plain,
coll(X_1433,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_106:[bind(X_1393,$fot(C)),bind(X_1394,$fot(X_1433)),bind(X_1395,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_137,plain,
coll(C,skolemFOFtoCNF_C_1,X_1433),
inference(resolve,[$cnf( coll(X_1433,skolemFOFtoCNF_B_1,C) )],[refute_0_136,refute_0_135]) ).
cnf(refute_0_138,plain,
coll(X_1508,skolemFOFtoCNF_C_1,X_1509),
inference(subst,[],[refute_0_137:[bind(C,$fot(X_1508)),bind(X_1433,$fot(X_1509))]]) ).
cnf(refute_0_139,plain,
( ~ coll(X_1508,skolemFOFtoCNF_C_1,C)
| coll(C,X_1509,X_1508) ),
inference(resolve,[$cnf( coll(X_1508,skolemFOFtoCNF_C_1,X_1509) )],[refute_0_138,refute_0_117]) ).
cnf(refute_0_140,plain,
( ~ coll(X_1502,skolemFOFtoCNF_A1,C)
| ~ coll(X_1502,skolemFOFtoCNF_A1,X_1503)
| coll(C,X_1503,X_1502) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_1502)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(D,$fot(X_1503))]]) ).
cnf(refute_0_141,plain,
( ~ coll(X_1415,skolemFOFtoCNF_C_1,C)
| ~ coll(X_1415,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1)
| coll(C,skolemFOFtoCNF_A1,X_1415) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_1415)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_142,plain,
( ~ coll(skolemFOFtoCNF_A1,X_1404,C)
| ~ coll(skolemFOFtoCNF_A1,X_1404,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(X_1404)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_143,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_144,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_123,refute_0_143]) ).
cnf(refute_0_145,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_146,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1395)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1)
| coll(skolemFOFtoCNF_A1,X_1395,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A1)),bind(D,$fot(X_1395))]]) ).
cnf(refute_0_148,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1395)
| coll(skolemFOFtoCNF_A1,X_1395,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1395),
inference(subst,[],[refute_0_52:[bind(X_357,$fot(X_1395)),bind(X_358,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_150,plain,
coll(skolemFOFtoCNF_A1,X_1395,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1395) )],[refute_0_149,refute_0_148]) ).
cnf(refute_0_151,plain,
coll(skolemFOFtoCNF_A1,X_1404,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_150:[bind(X_1395,$fot(X_1404))]]) ).
cnf(refute_0_152,plain,
( ~ coll(skolemFOFtoCNF_A1,X_1404,C)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,X_1404,skolemFOFtoCNF_C_1) )],[refute_0_151,refute_0_142]) ).
cnf(refute_0_153,plain,
coll(skolemFOFtoCNF_A1,X_1404,C),
inference(subst,[],[refute_0_106:[bind(X_1393,$fot(C)),bind(X_1394,$fot(skolemFOFtoCNF_A1)),bind(X_1395,$fot(X_1404))]]) ).
cnf(refute_0_154,plain,
coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,X_1404,C) )],[refute_0_153,refute_0_152]) ).
cnf(refute_0_155,plain,
coll(X_1415,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1),
inference(subst,[],[refute_0_154:[bind(C,$fot(X_1415))]]) ).
cnf(refute_0_156,plain,
( ~ coll(X_1415,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_A1,X_1415) ),
inference(resolve,[$cnf( coll(X_1415,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1) )],[refute_0_155,refute_0_141]) ).
cnf(refute_0_157,plain,
coll(X_1415,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_106:[bind(X_1393,$fot(C)),bind(X_1394,$fot(X_1415)),bind(X_1395,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_158,plain,
coll(C,skolemFOFtoCNF_A1,X_1415),
inference(resolve,[$cnf( coll(X_1415,skolemFOFtoCNF_C_1,C) )],[refute_0_157,refute_0_156]) ).
cnf(refute_0_159,plain,
coll(X_1502,skolemFOFtoCNF_A1,X_1503),
inference(subst,[],[refute_0_158:[bind(C,$fot(X_1502)),bind(X_1415,$fot(X_1503))]]) ).
cnf(refute_0_160,plain,
( ~ coll(X_1502,skolemFOFtoCNF_A1,C)
| coll(C,X_1503,X_1502) ),
inference(resolve,[$cnf( coll(X_1502,skolemFOFtoCNF_A1,X_1503) )],[refute_0_159,refute_0_140]) ).
cnf(refute_0_161,plain,
( ~ coll(X_1500,skolemFOFtoCNF_G,C)
| ~ coll(X_1500,skolemFOFtoCNF_G,X_1501)
| coll(C,X_1501,X_1500) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_1500)),bind(B,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_1501))]]) ).
cnf(refute_0_162,plain,
( ~ coll(skolemFOFtoCNF_G,X_1498,X_1499)
| coll(X_1498,skolemFOFtoCNF_G,X_1499) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(X_1498)),bind(C,$fot(X_1499))]]) ).
cnf(refute_0_163,plain,
( ~ coll(X_1413,skolemFOFtoCNF_A,D)
| ~ coll(X_1413,skolemFOFtoCNF_A,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,D,X_1413) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_1413)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_164,plain,
( ~ coll(skolemFOFtoCNF_A,X_1400,skolemFOFtoCNF_G)
| coll(X_1400,skolemFOFtoCNF_A,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1400)),bind(C,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_165,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_166,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) )],[refute_0_93,refute_0_165]) ).
cnf(refute_0_167,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_168,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1395)
| ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_1395,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1395))]]) ).
cnf(refute_0_170,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1395)
| coll(skolemFOFtoCNF_A,X_1395,skolemFOFtoCNF_G) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_A) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1395),
inference(subst,[],[refute_0_52:[bind(X_357,$fot(X_1395)),bind(X_358,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_172,plain,
coll(skolemFOFtoCNF_A,X_1395,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1395) )],[refute_0_171,refute_0_170]) ).
cnf(refute_0_173,plain,
coll(skolemFOFtoCNF_A,X_1400,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_172:[bind(X_1395,$fot(X_1400))]]) ).
cnf(refute_0_174,plain,
coll(X_1400,skolemFOFtoCNF_A,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1400,skolemFOFtoCNF_G) )],[refute_0_173,refute_0_164]) ).
cnf(refute_0_175,plain,
coll(X_1413,skolemFOFtoCNF_A,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_174:[bind(X_1400,$fot(X_1413))]]) ).
cnf(refute_0_176,plain,
( ~ coll(X_1413,skolemFOFtoCNF_A,D)
| coll(skolemFOFtoCNF_G,D,X_1413) ),
inference(resolve,[$cnf( coll(X_1413,skolemFOFtoCNF_A,skolemFOFtoCNF_G) )],[refute_0_175,refute_0_163]) ).
cnf(refute_0_177,plain,
coll(X_1413,skolemFOFtoCNF_A,D),
inference(subst,[],[refute_0_106:[bind(X_1393,$fot(D)),bind(X_1394,$fot(X_1413)),bind(X_1395,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_178,plain,
coll(skolemFOFtoCNF_G,D,X_1413),
inference(resolve,[$cnf( coll(X_1413,skolemFOFtoCNF_A,D) )],[refute_0_177,refute_0_176]) ).
cnf(refute_0_179,plain,
coll(skolemFOFtoCNF_G,X_1498,X_1499),
inference(subst,[],[refute_0_178:[bind(D,$fot(X_1498)),bind(X_1413,$fot(X_1499))]]) ).
cnf(refute_0_180,plain,
coll(X_1498,skolemFOFtoCNF_G,X_1499),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,X_1498,X_1499) )],[refute_0_179,refute_0_162]) ).
cnf(refute_0_181,plain,
coll(X_1500,skolemFOFtoCNF_G,X_1501),
inference(subst,[],[refute_0_180:[bind(X_1498,$fot(X_1500)),bind(X_1499,$fot(X_1501))]]) ).
cnf(refute_0_182,plain,
( ~ coll(X_1500,skolemFOFtoCNF_G,C)
| coll(C,X_1501,X_1500) ),
inference(resolve,[$cnf( coll(X_1500,skolemFOFtoCNF_G,X_1501) )],[refute_0_181,refute_0_161]) ).
cnf(refute_0_183,plain,
( ~ coll(X_1494,skolemFOFtoCNF_H,C)
| ~ coll(X_1494,skolemFOFtoCNF_H,X_1495)
| coll(C,X_1495,X_1494) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_1494)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_1495))]]) ).
cnf(refute_0_184,plain,
( ~ coll(X_1492,X_1493,skolemFOFtoCNF_H)
| coll(X_1492,skolemFOFtoCNF_H,X_1493) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_1492)),bind(B,$fot(X_1493)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_185,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,C)
| ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,X_1464)
| coll(C,X_1464,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1464))]]) ).
cnf(refute_0_186,plain,
( ~ coll(skolemFOFtoCNF_H,X_1463,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,X_1463) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(X_1463)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_187,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_188,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_189,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1395)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,X_1395,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_1395))]]) ).
cnf(refute_0_191,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1395)
| coll(skolemFOFtoCNF_H,X_1395,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
coll(skolemFOFtoCNF_H,X_1395,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1395) )],[refute_0_149,refute_0_191]) ).
cnf(refute_0_193,plain,
coll(skolemFOFtoCNF_H,X_1463,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_192:[bind(X_1395,$fot(X_1463))]]) ).
cnf(refute_0_194,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,X_1463),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,X_1463,skolemFOFtoCNF_C_1) )],[refute_0_193,refute_0_186]) ).
cnf(refute_0_195,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,X_1464),
inference(subst,[],[refute_0_194:[bind(X_1463,$fot(X_1464))]]) ).
cnf(refute_0_196,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,C)
| coll(C,X_1464,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,X_1464) )],[refute_0_195,refute_0_185]) ).
cnf(refute_0_197,plain,
( ~ coll(X_1454,skolemFOFtoCNF_S,C)
| ~ coll(X_1454,skolemFOFtoCNF_S,X_1455)
| coll(C,X_1455,X_1454) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_1454)),bind(B,$fot(skolemFOFtoCNF_S)),bind(D,$fot(X_1455))]]) ).
cnf(refute_0_198,plain,
( ~ coll(X_1417,skolemFOFtoCNF_C_1,C)
| ~ coll(X_1417,skolemFOFtoCNF_C_1,skolemFOFtoCNF_S)
| coll(C,skolemFOFtoCNF_S,X_1417) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_1417)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_199,plain,
( ~ coll(skolemFOFtoCNF_S,X_1405,C)
| ~ coll(skolemFOFtoCNF_S,X_1405,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_S) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_S)),bind(B,$fot(X_1405)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_200,plain,
coll(skolemFOFtoCNF_S,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_201,plain,
( ~ coll(skolemFOFtoCNF_S,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_S) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_S)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_202,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_S),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_S,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1395)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_S)
| coll(skolemFOFtoCNF_S,X_1395,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_S)),bind(D,$fot(X_1395))]]) ).
cnf(refute_0_204,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1395)
| coll(skolemFOFtoCNF_S,X_1395,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_S) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
coll(skolemFOFtoCNF_S,X_1395,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1395) )],[refute_0_149,refute_0_204]) ).
cnf(refute_0_206,plain,
coll(skolemFOFtoCNF_S,X_1405,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_205:[bind(X_1395,$fot(X_1405))]]) ).
cnf(refute_0_207,plain,
( ~ coll(skolemFOFtoCNF_S,X_1405,C)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_S) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_S,X_1405,skolemFOFtoCNF_C_1) )],[refute_0_206,refute_0_199]) ).
cnf(refute_0_208,plain,
coll(skolemFOFtoCNF_S,X_1405,C),
inference(subst,[],[refute_0_106:[bind(X_1393,$fot(C)),bind(X_1394,$fot(skolemFOFtoCNF_S)),bind(X_1395,$fot(X_1405))]]) ).
cnf(refute_0_209,plain,
coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_S),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_S,X_1405,C) )],[refute_0_208,refute_0_207]) ).
cnf(refute_0_210,plain,
coll(X_1417,skolemFOFtoCNF_C_1,skolemFOFtoCNF_S),
inference(subst,[],[refute_0_209:[bind(C,$fot(X_1417))]]) ).
cnf(refute_0_211,plain,
( ~ coll(X_1417,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_S,X_1417) ),
inference(resolve,[$cnf( coll(X_1417,skolemFOFtoCNF_C_1,skolemFOFtoCNF_S) )],[refute_0_210,refute_0_198]) ).
cnf(refute_0_212,plain,
coll(X_1417,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_106:[bind(X_1393,$fot(C)),bind(X_1394,$fot(X_1417)),bind(X_1395,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_213,plain,
coll(C,skolemFOFtoCNF_S,X_1417),
inference(resolve,[$cnf( coll(X_1417,skolemFOFtoCNF_C_1,C) )],[refute_0_212,refute_0_211]) ).
cnf(refute_0_214,plain,
coll(X_1454,skolemFOFtoCNF_S,X_1455),
inference(subst,[],[refute_0_213:[bind(C,$fot(X_1454)),bind(X_1417,$fot(X_1455))]]) ).
cnf(refute_0_215,plain,
( ~ coll(X_1454,skolemFOFtoCNF_S,C)
| coll(C,X_1455,X_1454) ),
inference(resolve,[$cnf( coll(X_1454,skolemFOFtoCNF_S,X_1455) )],[refute_0_214,refute_0_197]) ).
cnf(refute_0_216,plain,
( ~ coll(X_1451,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1451,skolemFOFtoCNF_B_1,X_1452)
| coll(C,X_1452,X_1451) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_1451)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1452))]]) ).
cnf(refute_0_217,plain,
( ~ coll(X_1410,skolemFOFtoCNF_A,C)
| ~ coll(X_1410,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_1410) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_1410)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_218,plain,
( ~ coll(skolemFOFtoCNF_A,X_1399,skolemFOFtoCNF_B_1)
| coll(X_1399,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1399)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_219,plain,
coll(X_1399,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1399,skolemFOFtoCNF_B_1) )],[refute_0_100,refute_0_218]) ).
cnf(refute_0_220,plain,
coll(X_1410,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_219:[bind(X_1399,$fot(X_1410))]]) ).
cnf(refute_0_221,plain,
( ~ coll(X_1410,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_B_1,X_1410) ),
inference(resolve,[$cnf( coll(X_1410,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_220,refute_0_217]) ).
cnf(refute_0_222,plain,
coll(X_1410,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_106:[bind(X_1393,$fot(C)),bind(X_1394,$fot(X_1410)),bind(X_1395,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_223,plain,
coll(C,skolemFOFtoCNF_B_1,X_1410),
inference(resolve,[$cnf( coll(X_1410,skolemFOFtoCNF_A,C) )],[refute_0_222,refute_0_221]) ).
cnf(refute_0_224,plain,
coll(X_1451,skolemFOFtoCNF_B_1,X_1452),
inference(subst,[],[refute_0_223:[bind(C,$fot(X_1451)),bind(X_1410,$fot(X_1452))]]) ).
cnf(refute_0_225,plain,
( ~ coll(X_1451,skolemFOFtoCNF_B_1,C)
| coll(C,X_1452,X_1451) ),
inference(resolve,[$cnf( coll(X_1451,skolemFOFtoCNF_B_1,X_1452) )],[refute_0_224,refute_0_216]) ).
cnf(refute_0_226,plain,
coll(X_1451,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_106:[bind(X_1393,$fot(C)),bind(X_1394,$fot(X_1451)),bind(X_1395,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_227,plain,
coll(C,X_1452,X_1451),
inference(resolve,[$cnf( coll(X_1451,skolemFOFtoCNF_B_1,C) )],[refute_0_226,refute_0_225]) ).
cnf(refute_0_228,plain,
coll(X_1454,skolemFOFtoCNF_S,C),
inference(subst,[],[refute_0_227:[bind(C,$fot(X_1454)),bind(X_1451,$fot(C)),bind(X_1452,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_229,plain,
coll(C,X_1455,X_1454),
inference(resolve,[$cnf( coll(X_1454,skolemFOFtoCNF_S,C) )],[refute_0_228,refute_0_215]) ).
cnf(refute_0_230,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_229:[bind(C,$fot(skolemFOFtoCNF_H)),bind(X_1454,$fot(C)),bind(X_1455,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_231,plain,
coll(C,X_1464,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,C) )],[refute_0_230,refute_0_196]) ).
cnf(refute_0_232,plain,
coll(X_1492,X_1493,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_231:[bind(C,$fot(X_1492)),bind(X_1464,$fot(X_1493))]]) ).
cnf(refute_0_233,plain,
coll(X_1492,skolemFOFtoCNF_H,X_1493),
inference(resolve,[$cnf( coll(X_1492,X_1493,skolemFOFtoCNF_H) )],[refute_0_232,refute_0_184]) ).
cnf(refute_0_234,plain,
coll(X_1494,skolemFOFtoCNF_H,X_1495),
inference(subst,[],[refute_0_233:[bind(X_1492,$fot(X_1494)),bind(X_1493,$fot(X_1495))]]) ).
cnf(refute_0_235,plain,
( ~ coll(X_1494,skolemFOFtoCNF_H,C)
| coll(C,X_1495,X_1494) ),
inference(resolve,[$cnf( coll(X_1494,skolemFOFtoCNF_H,X_1495) )],[refute_0_234,refute_0_183]) ).
cnf(refute_0_236,plain,
( ~ coll(X_1483,skolemFOFtoCNF_N,C)
| ~ coll(X_1483,skolemFOFtoCNF_N,X_1484)
| coll(C,X_1484,X_1483) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_1483)),bind(B,$fot(skolemFOFtoCNF_N)),bind(D,$fot(X_1484))]]) ).
cnf(refute_0_237,plain,
( ~ coll(X_1479,X_1480,skolemFOFtoCNF_N)
| coll(X_1479,skolemFOFtoCNF_N,X_1480) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_1479)),bind(B,$fot(X_1480)),bind(C,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_238,plain,
( ~ coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A1,C)
| ~ coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A1,X_1478)
| coll(C,X_1478,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_N)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(D,$fot(X_1478))]]) ).
cnf(refute_0_239,plain,
( ~ coll(skolemFOFtoCNF_N,X_1427,skolemFOFtoCNF_A1)
| coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A1,X_1427) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_N)),bind(B,$fot(X_1427)),bind(C,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_240,plain,
coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A1),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_241,plain,
( ~ coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A1)
| coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_N)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A1)),bind(D,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_242,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_N),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A1) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,X_1395)
| ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_N)
| coll(skolemFOFtoCNF_N,X_1395,skolemFOFtoCNF_A1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_A1)),bind(C,$fot(skolemFOFtoCNF_N)),bind(D,$fot(X_1395))]]) ).
cnf(refute_0_244,plain,
( ~ coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,X_1395)
| coll(skolemFOFtoCNF_N,X_1395,skolemFOFtoCNF_A1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,skolemFOFtoCNF_N) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,X_1395),
inference(subst,[],[refute_0_52:[bind(X_357,$fot(X_1395)),bind(X_358,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_246,plain,
coll(skolemFOFtoCNF_N,X_1395,skolemFOFtoCNF_A1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A1,skolemFOFtoCNF_A1,X_1395) )],[refute_0_245,refute_0_244]) ).
cnf(refute_0_247,plain,
coll(skolemFOFtoCNF_N,X_1427,skolemFOFtoCNF_A1),
inference(subst,[],[refute_0_246:[bind(X_1395,$fot(X_1427))]]) ).
cnf(refute_0_248,plain,
coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A1,X_1427),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_N,X_1427,skolemFOFtoCNF_A1) )],[refute_0_247,refute_0_239]) ).
cnf(refute_0_249,plain,
coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A1,X_1478),
inference(subst,[],[refute_0_248:[bind(X_1427,$fot(X_1478))]]) ).
cnf(refute_0_250,plain,
( ~ coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A1,C)
| coll(C,X_1478,skolemFOFtoCNF_N) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A1,X_1478) )],[refute_0_249,refute_0_238]) ).
cnf(refute_0_251,plain,
coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A1,C),
inference(subst,[],[refute_0_229:[bind(C,$fot(skolemFOFtoCNF_N)),bind(X_1454,$fot(C)),bind(X_1455,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_252,plain,
coll(C,X_1478,skolemFOFtoCNF_N),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A1,C) )],[refute_0_251,refute_0_250]) ).
cnf(refute_0_253,plain,
coll(X_1479,X_1480,skolemFOFtoCNF_N),
inference(subst,[],[refute_0_252:[bind(C,$fot(X_1479)),bind(X_1478,$fot(X_1480))]]) ).
cnf(refute_0_254,plain,
coll(X_1479,skolemFOFtoCNF_N,X_1480),
inference(resolve,[$cnf( coll(X_1479,X_1480,skolemFOFtoCNF_N) )],[refute_0_253,refute_0_237]) ).
cnf(refute_0_255,plain,
coll(X_1483,skolemFOFtoCNF_N,X_1484),
inference(subst,[],[refute_0_254:[bind(X_1479,$fot(X_1483)),bind(X_1480,$fot(X_1484))]]) ).
cnf(refute_0_256,plain,
( ~ coll(X_1483,skolemFOFtoCNF_N,C)
| coll(C,X_1484,X_1483) ),
inference(resolve,[$cnf( coll(X_1483,skolemFOFtoCNF_N,X_1484) )],[refute_0_255,refute_0_236]) ).
cnf(refute_0_257,plain,
coll(X_1483,skolemFOFtoCNF_N,C),
inference(subst,[],[refute_0_229:[bind(C,$fot(X_1483)),bind(X_1454,$fot(C)),bind(X_1455,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_258,plain,
coll(C,X_1484,X_1483),
inference(resolve,[$cnf( coll(X_1483,skolemFOFtoCNF_N,C) )],[refute_0_257,refute_0_256]) ).
cnf(refute_0_259,plain,
coll(X_1494,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_258:[bind(C,$fot(X_1494)),bind(X_1483,$fot(C)),bind(X_1484,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_260,plain,
coll(C,X_1495,X_1494),
inference(resolve,[$cnf( coll(X_1494,skolemFOFtoCNF_H,C) )],[refute_0_259,refute_0_235]) ).
cnf(refute_0_261,plain,
coll(X_1500,skolemFOFtoCNF_G,C),
inference(subst,[],[refute_0_260:[bind(C,$fot(X_1500)),bind(X_1494,$fot(C)),bind(X_1495,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_262,plain,
coll(C,X_1501,X_1500),
inference(resolve,[$cnf( coll(X_1500,skolemFOFtoCNF_G,C) )],[refute_0_261,refute_0_182]) ).
cnf(refute_0_263,plain,
coll(X_1502,skolemFOFtoCNF_A1,C),
inference(subst,[],[refute_0_262:[bind(C,$fot(X_1502)),bind(X_1500,$fot(C)),bind(X_1501,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_264,plain,
coll(C,X_1503,X_1502),
inference(resolve,[$cnf( coll(X_1502,skolemFOFtoCNF_A1,C) )],[refute_0_263,refute_0_160]) ).
cnf(refute_0_265,plain,
coll(X_1508,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_264:[bind(C,$fot(X_1508)),bind(X_1502,$fot(C)),bind(X_1503,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_266,plain,
coll(C,X_1509,X_1508),
inference(resolve,[$cnf( coll(X_1508,skolemFOFtoCNF_C_1,C) )],[refute_0_265,refute_0_139]) ).
cnf(refute_0_267,plain,
coll(X_1510,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_266:[bind(C,$fot(X_1510)),bind(X_1508,$fot(C)),bind(X_1509,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_268,plain,
coll(C,X_1511,X_1510),
inference(resolve,[$cnf( coll(X_1510,skolemFOFtoCNF_A,C) )],[refute_0_267,refute_0_116]) ).
cnf(refute_0_269,plain,
coll(O,A,C),
inference(subst,[],[refute_0_268:[bind(C,$fot(O)),bind(X_1510,$fot(C)),bind(X_1511,$fot(A))]]) ).
cnf(refute_0_270,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_269,refute_0_85]) ).
cnf(refute_0_271,plain,
( ~ circle(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_270:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_272,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_84,refute_0_271]) ).
cnf(refute_0_273,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_272,refute_0_79]) ).
cnf(refute_0_274,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_273,refute_0_77]) ).
cnf(refute_0_275,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_274,refute_0_75]) ).
cnf(refute_0_276,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) )],[refute_0_275,refute_0_64]) ).
cnf(refute_0_277,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)),
inference(subst,[],[refute_0_268:[bind(C,$fot(skolemFOFtoCNF_C_1)),bind(X_1510,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))),bind(X_1511,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)))]]) ).
cnf(refute_0_278,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) )],[refute_0_277,refute_0_276]) ).
cnf(refute_0_279,plain,
midp(skolemFOFtoCNF_C_1,X_1520,X_1520),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) )],[refute_0_278,refute_0_62]) ).
cnf(refute_0_280,plain,
midp(skolemFOFtoCNF_C_1,X_1590,X_1590),
inference(subst,[],[refute_0_279:[bind(X_1520,$fot(X_1590))]]) ).
cnf(refute_0_281,plain,
midp(skolemFOFtoCNF_P_1(X_1590,Q),X_1590,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,X_1590,X_1590) )],[refute_0_280,refute_0_57]) ).
cnf(refute_0_282,plain,
midp(skolemFOFtoCNF_P_1(X_1617,X_1616),X_1617,X_1616),
inference(subst,[],[refute_0_281:[bind(Q,$fot(X_1616)),bind(X_1590,$fot(X_1617))]]) ).
cnf(refute_0_283,plain,
cong(skolemFOFtoCNF_P_1(X_1617,X_1616),X_1617,skolemFOFtoCNF_P_1(X_1617,X_1616),X_1616),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_1617,X_1616),X_1617,X_1616) )],[refute_0_282,refute_0_17]) ).
cnf(refute_0_284,plain,
cong(skolemFOFtoCNF_P_1(X_2127,X_2126),X_2127,skolemFOFtoCNF_P_1(X_2127,X_2126),X_2126),
inference(subst,[],[refute_0_283:[bind(X_1616,$fot(X_2126)),bind(X_1617,$fot(X_2127))]]) ).
cnf(refute_0_285,plain,
cyclic(X_2127,X_2126,X_2126,X_2126),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_2127,X_2126),X_2127,skolemFOFtoCNF_P_1(X_2127,X_2126),X_2126) )],[refute_0_284,refute_0_15]) ).
cnf(refute_0_286,plain,
cyclic(X_2129,X_2128,X_2128,X_2128),
inference(subst,[],[refute_0_285:[bind(X_2126,$fot(X_2128)),bind(X_2127,$fot(X_2129))]]) ).
cnf(refute_0_287,plain,
cyclic(X_2128,X_2129,X_2128,X_2128),
inference(resolve,[$cnf( cyclic(X_2129,X_2128,X_2128,X_2128) )],[refute_0_286,refute_0_13]) ).
cnf(refute_0_288,plain,
cyclic(X_2130,X_2131,X_2130,X_2130),
inference(subst,[],[refute_0_287:[bind(X_2128,$fot(X_2130)),bind(X_2129,$fot(X_2131))]]) ).
cnf(refute_0_289,plain,
cyclic(X_2130,X_2130,X_2131,X_2130),
inference(resolve,[$cnf( cyclic(X_2130,X_2131,X_2130,X_2130) )],[refute_0_288,refute_0_11]) ).
cnf(refute_0_290,plain,
cyclic(X_2132,X_2132,X_2133,X_2132),
inference(subst,[],[refute_0_289:[bind(X_2130,$fot(X_2132)),bind(X_2131,$fot(X_2133))]]) ).
cnf(refute_0_291,plain,
cyclic(X_2132,X_2132,X_2132,X_2133),
inference(resolve,[$cnf( cyclic(X_2132,X_2132,X_2133,X_2132) )],[refute_0_290,refute_0_9]) ).
cnf(refute_0_292,plain,
cyclic(X_2134,X_2134,X_2134,X_2135),
inference(subst,[],[refute_0_291:[bind(X_2132,$fot(X_2134)),bind(X_2133,$fot(X_2135))]]) ).
cnf(refute_0_293,plain,
cyclic(X_2134,X_2134,X_2135,X_2135),
inference(resolve,[$cnf( cyclic(X_2134,X_2134,X_2134,X_2135) )],[refute_0_292,refute_0_7]) ).
cnf(refute_0_294,plain,
cyclic(X_2136,X_2136,X_2137,X_2137),
inference(subst,[],[refute_0_293:[bind(X_2134,$fot(X_2136)),bind(X_2135,$fot(X_2137))]]) ).
cnf(refute_0_295,plain,
( ~ cong(X_2136,X_2137,X_2136,X_2137)
| perp(X_2137,X_2136,X_2136,X_2137) ),
inference(resolve,[$cnf( cyclic(X_2136,X_2136,X_2137,X_2137) )],[refute_0_294,refute_0_5]) ).
cnf(refute_0_296,plain,
( ~ midp(X_1726,X_1725,X_1725)
| cong(X_1726,X_1725,X_1726,X_1725) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_1726)),bind(B,$fot(X_1725)),bind(C,$fot(X_1725))]]) ).
cnf(refute_0_297,plain,
( ~ midp(X_1610,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_1610,X_1520,X_1520) ),
inference(subst,[],[refute_0_61:[bind(X_1519,$fot(skolemFOFtoCNF_B_1)),bind(X_1521,$fot(X_1610))]]) ).
cnf(refute_0_298,plain,
( ~ coll(X_1609,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(X_1609,skolemFOFtoCNF_B_1,X_1609,skolemFOFtoCNF_B_1)
| midp(X_1609,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_63:[bind(A,$fot(X_1609)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_299,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_300,plain,
( ~ cong(X_1608,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1608)
| cong(X_1608,skolemFOFtoCNF_B_1,X_1608,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_299:[bind(A,$fot(X_1608)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1608))]]) ).
cnf(refute_0_301,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_302,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_1598,X_1598,skolemFOFtoCNF_B_1)
| cong(X_1598,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1598) ),
inference(subst,[],[refute_0_301:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1598)),bind(C,$fot(X_1598)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_303,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_1595,skolemFOFtoCNF_B_1,X_1595)
| cong(skolemFOFtoCNF_B_1,X_1595,X_1595,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_299:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1595)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1595))]]) ).
cnf(refute_0_304,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_1591,X_1591)
| cong(skolemFOFtoCNF_B_1,X_1591,skolemFOFtoCNF_B_1,X_1591) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1591)),bind(C,$fot(X_1591))]]) ).
cnf(refute_0_305,plain,
( ~ midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))
| midp(skolemFOFtoCNF_B_1,X_1520,X_1520) ),
inference(subst,[],[refute_0_61:[bind(X_1519,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))),bind(X_1521,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_306,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) ),
inference(subst,[],[refute_0_63:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))),bind(C,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)))]]) ).
cnf(refute_0_307,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| ~ perp(skolemFOFtoCNF_B_1,X_1551,X_1551,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),X_1551,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1551)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)))]]) ).
cnf(refute_0_308,plain,
( ~ perp(skolemFOFtoCNF_B_1,X_1551,X_1551,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),X_1551,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_71,refute_0_307]) ).
cnf(refute_0_309,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) ),
inference(subst,[],[refute_0_308:[bind(X_1551,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_310,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_311,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_312,plain,
( ~ cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1)
| circle(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_313,plain,
circle(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_B_1) )],[refute_0_32,refute_0_312]) ).
cnf(refute_0_314,plain,
( ~ circle(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_270:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_A1))]]) ).
cnf(refute_0_315,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_A1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_315,refute_0_311]) ).
cnf(refute_0_317,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_316,refute_0_310]) ).
cnf(refute_0_318,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_317,refute_0_309]) ).
cnf(refute_0_319,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) )],[refute_0_318,refute_0_306]) ).
cnf(refute_0_320,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)),
inference(subst,[],[refute_0_268:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_1510,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1))),bind(X_1511,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)))]]) ).
cnf(refute_0_321,plain,
midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) )],[refute_0_320,refute_0_319]) ).
cnf(refute_0_322,plain,
midp(skolemFOFtoCNF_B_1,X_1520,X_1520),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A1,skolemFOFtoCNF_A1)) )],[refute_0_321,refute_0_305]) ).
cnf(refute_0_323,plain,
midp(skolemFOFtoCNF_B_1,X_1591,X_1591),
inference(subst,[],[refute_0_322:[bind(X_1520,$fot(X_1591))]]) ).
cnf(refute_0_324,plain,
cong(skolemFOFtoCNF_B_1,X_1591,skolemFOFtoCNF_B_1,X_1591),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_1591,X_1591) )],[refute_0_323,refute_0_304]) ).
cnf(refute_0_325,plain,
cong(skolemFOFtoCNF_B_1,X_1595,skolemFOFtoCNF_B_1,X_1595),
inference(subst,[],[refute_0_324:[bind(X_1591,$fot(X_1595))]]) ).
cnf(refute_0_326,plain,
cong(skolemFOFtoCNF_B_1,X_1595,X_1595,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_1595,skolemFOFtoCNF_B_1,X_1595) )],[refute_0_325,refute_0_303]) ).
cnf(refute_0_327,plain,
cong(skolemFOFtoCNF_B_1,X_1598,X_1598,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_326:[bind(X_1595,$fot(X_1598))]]) ).
cnf(refute_0_328,plain,
cong(X_1598,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1598),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_1598,X_1598,skolemFOFtoCNF_B_1) )],[refute_0_327,refute_0_302]) ).
cnf(refute_0_329,plain,
cong(X_1608,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1608),
inference(subst,[],[refute_0_328:[bind(X_1598,$fot(X_1608))]]) ).
cnf(refute_0_330,plain,
cong(X_1608,skolemFOFtoCNF_B_1,X_1608,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(X_1608,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1608) )],[refute_0_329,refute_0_300]) ).
cnf(refute_0_331,plain,
cong(X_1609,skolemFOFtoCNF_B_1,X_1609,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_330:[bind(X_1608,$fot(X_1609))]]) ).
cnf(refute_0_332,plain,
( ~ coll(X_1609,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_1609,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(X_1609,skolemFOFtoCNF_B_1,X_1609,skolemFOFtoCNF_B_1) )],[refute_0_331,refute_0_298]) ).
cnf(refute_0_333,plain,
coll(X_1609,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_268:[bind(C,$fot(X_1609)),bind(X_1510,$fot(skolemFOFtoCNF_B_1)),bind(X_1511,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_334,plain,
midp(X_1609,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(X_1609,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_333,refute_0_332]) ).
cnf(refute_0_335,plain,
midp(X_1610,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_334:[bind(X_1609,$fot(X_1610))]]) ).
cnf(refute_0_336,plain,
midp(X_1610,X_1520,X_1520),
inference(resolve,[$cnf( midp(X_1610,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_335,refute_0_297]) ).
cnf(refute_0_337,plain,
midp(X_1726,X_1725,X_1725),
inference(subst,[],[refute_0_336:[bind(X_1520,$fot(X_1725)),bind(X_1610,$fot(X_1726))]]) ).
cnf(refute_0_338,plain,
cong(X_1726,X_1725,X_1726,X_1725),
inference(resolve,[$cnf( midp(X_1726,X_1725,X_1725) )],[refute_0_337,refute_0_296]) ).
cnf(refute_0_339,plain,
cong(X_2136,X_2137,X_2136,X_2137),
inference(subst,[],[refute_0_338:[bind(X_1725,$fot(X_2137)),bind(X_1726,$fot(X_2136))]]) ).
cnf(refute_0_340,plain,
perp(X_2137,X_2136,X_2136,X_2137),
inference(resolve,[$cnf( cong(X_2136,X_2137,X_2136,X_2137) )],[refute_0_339,refute_0_295]) ).
cnf(refute_0_341,plain,
perp(X_2139,X_2138,X_2138,X_2139),
inference(subst,[],[refute_0_340:[bind(X_2136,$fot(X_2138)),bind(X_2137,$fot(X_2139))]]) ).
cnf(refute_0_342,plain,
( ~ midp(M,X_2139,X_2139)
| cong(X_2139,M,X_2138,M) ),
inference(resolve,[$cnf( perp(X_2139,X_2138,X_2138,X_2139) )],[refute_0_341,refute_0_3]) ).
cnf(refute_0_343,plain,
( ~ midp(X_1613,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(X_1613,X_1520,X_1520) ),
inference(subst,[],[refute_0_61:[bind(X_1519,$fot(skolemFOFtoCNF_C_1)),bind(X_1521,$fot(X_1613))]]) ).
cnf(refute_0_344,plain,
( ~ coll(X_1612,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| ~ cong(X_1612,skolemFOFtoCNF_C_1,X_1612,skolemFOFtoCNF_C_1)
| midp(X_1612,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_63:[bind(A,$fot(X_1612)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_345,plain,
( ~ cong(X_1611,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1611)
| cong(X_1611,skolemFOFtoCNF_C_1,X_1611,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_299:[bind(A,$fot(X_1611)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1611))]]) ).
cnf(refute_0_346,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_1602,X_1602,skolemFOFtoCNF_C_1)
| cong(X_1602,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1602) ),
inference(subst,[],[refute_0_301:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1602)),bind(C,$fot(X_1602)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_347,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_1593,skolemFOFtoCNF_C_1,X_1593)
| cong(skolemFOFtoCNF_C_1,X_1593,X_1593,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_299:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1593)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1593))]]) ).
cnf(refute_0_348,plain,
( ~ midp(skolemFOFtoCNF_C_1,X_1590,X_1590)
| cong(skolemFOFtoCNF_C_1,X_1590,skolemFOFtoCNF_C_1,X_1590) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1590)),bind(C,$fot(X_1590))]]) ).
cnf(refute_0_349,plain,
cong(skolemFOFtoCNF_C_1,X_1590,skolemFOFtoCNF_C_1,X_1590),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,X_1590,X_1590) )],[refute_0_280,refute_0_348]) ).
cnf(refute_0_350,plain,
cong(skolemFOFtoCNF_C_1,X_1593,skolemFOFtoCNF_C_1,X_1593),
inference(subst,[],[refute_0_349:[bind(X_1590,$fot(X_1593))]]) ).
cnf(refute_0_351,plain,
cong(skolemFOFtoCNF_C_1,X_1593,X_1593,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_1593,skolemFOFtoCNF_C_1,X_1593) )],[refute_0_350,refute_0_347]) ).
cnf(refute_0_352,plain,
cong(skolemFOFtoCNF_C_1,X_1602,X_1602,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_351:[bind(X_1593,$fot(X_1602))]]) ).
cnf(refute_0_353,plain,
cong(X_1602,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1602),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_1602,X_1602,skolemFOFtoCNF_C_1) )],[refute_0_352,refute_0_346]) ).
cnf(refute_0_354,plain,
cong(X_1611,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1611),
inference(subst,[],[refute_0_353:[bind(X_1602,$fot(X_1611))]]) ).
cnf(refute_0_355,plain,
cong(X_1611,skolemFOFtoCNF_C_1,X_1611,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(X_1611,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1611) )],[refute_0_354,refute_0_345]) ).
cnf(refute_0_356,plain,
cong(X_1612,skolemFOFtoCNF_C_1,X_1612,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_355:[bind(X_1611,$fot(X_1612))]]) ).
cnf(refute_0_357,plain,
( ~ coll(X_1612,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(X_1612,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( cong(X_1612,skolemFOFtoCNF_C_1,X_1612,skolemFOFtoCNF_C_1) )],[refute_0_356,refute_0_344]) ).
cnf(refute_0_358,plain,
coll(X_1612,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_268:[bind(C,$fot(X_1612)),bind(X_1510,$fot(skolemFOFtoCNF_C_1)),bind(X_1511,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_359,plain,
midp(X_1612,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(X_1612,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_358,refute_0_357]) ).
cnf(refute_0_360,plain,
midp(X_1613,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_359:[bind(X_1612,$fot(X_1613))]]) ).
cnf(refute_0_361,plain,
midp(X_1613,X_1520,X_1520),
inference(resolve,[$cnf( midp(X_1613,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_360,refute_0_343]) ).
cnf(refute_0_362,plain,
midp(M,X_2139,X_2139),
inference(subst,[],[refute_0_361:[bind(X_1520,$fot(X_2139)),bind(X_1613,$fot(M))]]) ).
cnf(refute_0_363,plain,
cong(X_2139,M,X_2138,M),
inference(resolve,[$cnf( midp(M,X_2139,X_2139) )],[refute_0_362,refute_0_342]) ).
cnf(refute_0_364,plain,
cong(A,P,B,P),
inference(subst,[],[refute_0_363:[bind(M,$fot(P)),bind(X_2138,$fot(B)),bind(X_2139,$fot(A))]]) ).
cnf(refute_0_365,plain,
( ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(resolve,[$cnf( cong(A,P,B,P) )],[refute_0_364,refute_0_1]) ).
cnf(refute_0_366,plain,
cong(A,Q,B,Q),
inference(subst,[],[refute_0_363:[bind(M,$fot(Q)),bind(X_2138,$fot(B)),bind(X_2139,$fot(A))]]) ).
cnf(refute_0_367,plain,
perp(A,B,P,Q),
inference(resolve,[$cnf( cong(A,Q,B,Q) )],[refute_0_366,refute_0_365]) ).
cnf(refute_0_368,plain,
perp(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_S),
inference(subst,[],[refute_0_367:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_H)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_369,plain,
$false,
inference(resolve,[$cnf( perp(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_S) )],[refute_0_368,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO633+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n019.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 : Sat Jun 18 02:30:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 27.86/28.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.86/28.04
% 27.86/28.04 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 27.92/28.08
%------------------------------------------------------------------------------