%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO551+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 05:27:08 EDT 2022
% Result : Theorem 51.39s 51.59s
% Output : CNFRefutation 51.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 88
% Number of leaves : 26
% Syntax : Number of formulae : 322 ( 130 unt; 0 def)
% Number of atoms : 612 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 520 ( 230 ~; 225 |; 37 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 793 ( 96 sgn 367 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ) ).
fof(ruleD7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ) ).
fof(ruleD8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C) )
=> circle(O,A,B,C) ) ).
fof(ruleD13,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C)
& cong(O,A,O,D) )
=> cyclic(A,B,C,D) ) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ) ).
fof(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ) ).
fof(ruleD53,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(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(exemplo6GDDFULL012011,conjecture,
! [A,B,C,D,L,M,N] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& midp(L,A,B)
& midp(M,C,B)
& midp(N,A,C) )
=> cyclic(L,D,M,N) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,L,M,N] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& midp(L,A,B)
& midp(M,C,B)
& midp(N,A,C) )
=> cyclic(L,D,M,N) ),
inference(strip,[],[exemplo6GDDFULL012011]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,L,M,N] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& midp(L,A,B)
& midp(M,C,B)
& midp(N,A,C) )
=> cyclic(L,D,M,N) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,L,M,N] :
( ~ cyclic(L,D,M,N)
& coll(D,B,C)
& midp(L,A,B)
& midp(M,C,B)
& midp(N,A,C)
& perp(D,A,B,C) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ cyclic(skolemFOFtoCNF_L,skolemFOFtoCNF_D,skolemFOFtoCNF_M_3,skolemFOFtoCNF_N)
& coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ cyclic(skolemFOFtoCNF_L,skolemFOFtoCNF_D,skolemFOFtoCNF_M_3,skolemFOFtoCNF_N),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_4,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_6,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C,D,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[ruleD13]) ).
fof(normalize_0_8,plain,
! [A,B,C,D,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_10,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_12,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[ruleD52]) ).
fof(normalize_0_14,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[ruleD57]) ).
fof(normalize_0_16,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[ruleD17]) ).
fof(normalize_0_18,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_20,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_22,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(canonicalize,[],[ruleX7]) ).
fof(normalize_0_24,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [A,B,C,D,M,N,Q] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(clausify,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_27,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_29,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_31,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD39]) ).
fof(normalize_0_33,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A,B,C,D,P,Q] :
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(clausify,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[ruleD41]) ).
fof(normalize_0_36,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
midp(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_38,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_39,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD40]) ).
fof(normalize_0_41,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_40]) ).
fof(normalize_0_42,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_41]) ).
fof(normalize_0_43,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[ruleD19]) ).
fof(normalize_0_44,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_43]) ).
fof(normalize_0_45,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_46,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_45]) ).
fof(normalize_0_47,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_48,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_47]) ).
fof(normalize_0_49,plain,
midp(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_50,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_51,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_50]) ).
fof(normalize_0_52,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_53,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_52]) ).
fof(normalize_0_54,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[ruleD12]) ).
fof(normalize_0_55,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_54]) ).
fof(normalize_0_56,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[ruleD53]) ).
fof(normalize_0_57,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_56]) ).
fof(normalize_0_58,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
~ cyclic(skolemFOFtoCNF_L,skolemFOFtoCNF_D,skolemFOFtoCNF_M_3,skolemFOFtoCNF_N),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ cyclic(X_10163,X_10162,X_10163,X_10164)
| cyclic(X_10163,X_10163,X_10162,X_10164) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_10163)),bind(B,$fot(X_10162)),bind(C,$fot(X_10163)),bind(D,$fot(X_10164))]]) ).
cnf(refute_0_3,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ cyclic(X_10159,X_10160,X_10160,X_10161)
| cyclic(X_10160,X_10159,X_10160,X_10161) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_10159)),bind(B,$fot(X_10160)),bind(C,$fot(X_10160)),bind(D,$fot(X_10161))]]) ).
cnf(refute_0_5,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
( ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,C,C,D) ),
inference(subst,[],[refute_0_5:[bind(B,$fot(C))]]) ).
cnf(refute_0_7,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ cong(X_5655,X_5656,X_5657,X_5655)
| cong(X_5655,X_5656,X_5655,X_5657) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_5655)),bind(B,$fot(X_5656)),bind(C,$fot(X_5657)),bind(D,$fot(X_5655))]]) ).
cnf(refute_0_9,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ cong(X_5638,X_5636,X_5636,X_5637)
| cong(X_5636,X_5637,X_5638,X_5636) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_5638)),bind(B,$fot(X_5636)),bind(C,$fot(X_5636)),bind(D,$fot(X_5637))]]) ).
cnf(refute_0_11,plain,
( ~ cong(X_5635,X_5633,X_5634,X_5633)
| cong(X_5635,X_5633,X_5633,X_5634) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_5635)),bind(B,$fot(X_5633)),bind(C,$fot(X_5634)),bind(D,$fot(X_5633))]]) ).
cnf(refute_0_12,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_13,plain,
( ~ midp(M,X_5616,X_5616)
| ~ perp(X_5616,X_5615,X_5615,X_5616)
| cong(X_5616,M,X_5615,M) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_5616)),bind(B,$fot(X_5615)),bind(C,$fot(X_5616))]]) ).
cnf(refute_0_14,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_15,plain,
( ~ cong(X_5613,X_5614,X_5613,X_5614)
| ~ cyclic(X_5613,X_5613,X_5614,X_5614)
| perp(X_5614,X_5613,X_5613,X_5614) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_5613)),bind(B,$fot(X_5613)),bind(P,$fot(X_5614)),bind(Q,$fot(X_5614))]]) ).
cnf(refute_0_16,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_17,plain,
( ~ cyclic(X_5611,X_5611,X_5611,X_5612)
| cyclic(X_5611,X_5611,X_5612,X_5612) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_5611)),bind(B,$fot(X_5611)),bind(C,$fot(X_5611)),bind(D,$fot(X_5612)),bind(E,$fot(X_5612))]]) ).
cnf(refute_0_18,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_19,plain,
( ~ cyclic(X_5609,X_5609,X_5610,X_5609)
| cyclic(X_5609,X_5609,X_5609,X_5610) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_5609)),bind(B,$fot(X_5609)),bind(C,$fot(X_5610)),bind(D,$fot(X_5609))]]) ).
cnf(refute_0_20,plain,
( ~ cyclic(X_5607,X_5608,X_5607,X_5607)
| cyclic(X_5607,X_5607,X_5608,X_5607) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_5607)),bind(B,$fot(X_5608)),bind(C,$fot(X_5607)),bind(D,$fot(X_5607))]]) ).
cnf(refute_0_21,plain,
( ~ cyclic(X_5606,X_5605,X_5605,X_5605)
| cyclic(X_5605,X_5606,X_5605,X_5605) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_5606)),bind(B,$fot(X_5605)),bind(C,$fot(X_5605)),bind(D,$fot(X_5605))]]) ).
cnf(refute_0_22,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_5604,X_5603),X_5604,skolemFOFtoCNF_P_1(X_5604,X_5603),X_5603)
| cyclic(X_5604,X_5603,X_5603,X_5603) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_5604)),bind(B,$fot(X_5603)),bind(C,$fot(X_5603)),bind(D,$fot(X_5603)),bind(O,$fot(skolemFOFtoCNF_P_1(X_5604,X_5603)))]]) ).
cnf(refute_0_23,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_24,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_3687,X_3686),X_3687,X_3686)
| cong(skolemFOFtoCNF_P_1(X_3687,X_3686),X_3687,skolemFOFtoCNF_P_1(X_3687,X_3686),X_3686) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P_1(X_3687,X_3686))),bind(B,$fot(X_3687)),bind(C,$fot(X_3686))]]) ).
cnf(refute_0_25,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_26,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_27,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_28,plain,
( ~ coll(X_577,X_577,X_576)
| coll(X_577,X_576,X_577) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_577)),bind(B,$fot(X_577)),bind(C,$fot(X_576))]]) ).
cnf(refute_0_29,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_30,plain,
( ~ coll(X_574,X_575,X_575)
| coll(X_575,X_575,X_574) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_574)),bind(B,$fot(X_575)),bind(C,$fot(X_575)),bind(D,$fot(X_575))]]) ).
cnf(refute_0_31,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_32,plain,
( ~ para(X_569,X_570,X_569,X_570)
| coll(X_569,X_570,X_570) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_569)),bind(B,$fot(X_570)),bind(C,$fot(X_570))]]) ).
cnf(refute_0_33,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_34,plain,
( ~ eqangle(X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_567,X_568,X_567,X_568) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_567)),bind(B,$fot(X_568)),bind(C,$fot(X_567)),bind(D,$fot(X_568)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_35,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_36,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_35:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_37,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_38,plain,
( ~ cong(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_L,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_39,plain,
midp(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_40,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_41,plain,
( ~ midp(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_42,plain,
midp(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_39,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ midp(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_L,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_L)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_44,plain,
cong(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_L,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_L,skolemFOFtoCNF_A) )],[refute_0_44,refute_0_38]) ).
cnf(refute_0_46,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_45,refute_0_37]) ).
cnf(refute_0_47,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_46,refute_0_36]) ).
cnf(refute_0_48,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_49,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_51,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154) ),
inference(subst,[],[refute_0_50:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(X_153)),bind(Q,$fot(X_154))]]) ).
cnf(refute_0_52,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_49,refute_0_51]) ).
cnf(refute_0_53,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566),
inference(subst,[],[refute_0_52:[bind(X_153,$fot(X_565)),bind(X_154,$fot(X_566))]]) ).
cnf(refute_0_54,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_55,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566)
| eqangle(X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_54:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_565)),bind(D,$fot(X_566)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_565)),bind(V,$fot(X_566))]]) ).
cnf(refute_0_56,plain,
eqangle(X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566) )],[refute_0_53,refute_0_55]) ).
cnf(refute_0_57,plain,
eqangle(X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_56:[bind(X_565,$fot(X_567)),bind(X_566,$fot(X_568))]]) ).
cnf(refute_0_58,plain,
para(X_567,X_568,X_567,X_568),
inference(resolve,[$cnf( eqangle(X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_57,refute_0_34]) ).
cnf(refute_0_59,plain,
para(X_569,X_570,X_569,X_570),
inference(subst,[],[refute_0_58:[bind(X_567,$fot(X_569)),bind(X_568,$fot(X_570))]]) ).
cnf(refute_0_60,plain,
coll(X_569,X_570,X_570),
inference(resolve,[$cnf( para(X_569,X_570,X_569,X_570) )],[refute_0_59,refute_0_32]) ).
cnf(refute_0_61,plain,
coll(X_574,X_575,X_575),
inference(subst,[],[refute_0_60:[bind(X_569,$fot(X_574)),bind(X_570,$fot(X_575))]]) ).
cnf(refute_0_62,plain,
coll(X_575,X_575,X_574),
inference(resolve,[$cnf( coll(X_574,X_575,X_575) )],[refute_0_61,refute_0_30]) ).
cnf(refute_0_63,plain,
coll(X_577,X_577,X_576),
inference(subst,[],[refute_0_62:[bind(X_574,$fot(X_576)),bind(X_575,$fot(X_577))]]) ).
cnf(refute_0_64,plain,
coll(X_577,X_576,X_577),
inference(resolve,[$cnf( coll(X_577,X_577,X_576) )],[refute_0_63,refute_0_28]) ).
cnf(refute_0_65,plain,
coll(D,D,D),
inference(subst,[],[refute_0_64:[bind(X_576,$fot(D)),bind(X_577,$fot(D))]]) ).
cnf(refute_0_66,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_65,refute_0_26]) ).
cnf(refute_0_67,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3685,X_3685)
| midp(skolemFOFtoCNF_P_1(X_3685,Q),X_3685,Q) ),
inference(subst,[],[refute_0_66:[bind(D,$fot(X_3685)),bind(N,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_68,plain,
para(X_3602,X_3603,X_3602,X_3603),
inference(subst,[],[refute_0_58:[bind(X_567,$fot(X_3602)),bind(X_568,$fot(X_3603))]]) ).
cnf(refute_0_69,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_70,plain,
( ~ midp(X_3604,X_3602,X_3602)
| ~ para(X_3602,X_3603,X_3602,X_3603)
| midp(X_3604,X_3603,X_3603) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(X_3602)),bind(B,$fot(X_3602)),bind(C,$fot(X_3603)),bind(D,$fot(X_3603)),bind(M,$fot(X_3604))]]) ).
cnf(refute_0_71,plain,
( ~ midp(X_3604,X_3602,X_3602)
| midp(X_3604,X_3603,X_3603) ),
inference(resolve,[$cnf( para(X_3602,X_3603,X_3602,X_3603) )],[refute_0_68,refute_0_70]) ).
cnf(refute_0_72,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3603,X_3603) ),
inference(subst,[],[refute_0_71:[bind(X_3602,$fot(skolemFOFtoCNF_A)),bind(X_3604,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_73,plain,
( ~ midp(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,Q),skolemFOFtoCNF_A,Q) ),
inference(subst,[],[refute_0_66:[bind(D,$fot(skolemFOFtoCNF_A)),bind(N,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_74,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_75,plain,
( ~ coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ cong(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_N)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_76,plain,
( ~ cong(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_N)
| cong(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_N)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_77,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_N,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_N)),bind(C,$fot(skolemFOFtoCNF_N)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_78,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_N)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_N,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_N)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_79,plain,
midp(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_80,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_81,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_82,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_83,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_82:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_84,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_85,plain,
( ~ cong(skolemFOFtoCNF_N,skolemFOFtoCNF_C_1,skolemFOFtoCNF_N,skolemFOFtoCNF_A)
| circle(skolemFOFtoCNF_N,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_84:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_86,plain,
( ~ midp(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_N,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_87,plain,
midp(skolemFOFtoCNF_N,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_79,refute_0_86]) ).
cnf(refute_0_88,plain,
( ~ midp(skolemFOFtoCNF_N,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_N,skolemFOFtoCNF_C_1,skolemFOFtoCNF_N,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_N)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_89,plain,
cong(skolemFOFtoCNF_N,skolemFOFtoCNF_C_1,skolemFOFtoCNF_N,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_N,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
circle(skolemFOFtoCNF_N,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_N,skolemFOFtoCNF_C_1,skolemFOFtoCNF_N,skolemFOFtoCNF_A) )],[refute_0_89,refute_0_85]) ).
cnf(refute_0_91,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_92,plain,
( ~ coll(X_3585,skolemFOFtoCNF_D,C)
| ~ coll(X_3585,skolemFOFtoCNF_D,X_3586)
| coll(C,X_3586,X_3585) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3585)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_3586))]]) ).
cnf(refute_0_93,plain,
( ~ coll(X_3583,X_3584,skolemFOFtoCNF_D)
| coll(X_3583,skolemFOFtoCNF_D,X_3584) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_3583)),bind(B,$fot(X_3584)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_94,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,C)
| ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_3582)
| coll(C,X_3582,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3582))]]) ).
cnf(refute_0_95,plain,
( ~ coll(skolemFOFtoCNF_D,X_3557,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_3557) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_3557)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_96,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_97,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_98,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_99,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_99,refute_0_96]) ).
cnf(refute_0_101,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3526)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,X_3526,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_3526))]]) ).
cnf(refute_0_102,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3526)
| coll(skolemFOFtoCNF_D,X_3526,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3526),
inference(subst,[],[refute_0_62:[bind(X_574,$fot(X_3526)),bind(X_575,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_104,plain,
coll(skolemFOFtoCNF_D,X_3526,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3526) )],[refute_0_103,refute_0_102]) ).
cnf(refute_0_105,plain,
coll(skolemFOFtoCNF_D,X_3557,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_104:[bind(X_3526,$fot(X_3557))]]) ).
cnf(refute_0_106,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_3557),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_3557,skolemFOFtoCNF_B_1) )],[refute_0_105,refute_0_95]) ).
cnf(refute_0_107,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_3582),
inference(subst,[],[refute_0_106:[bind(X_3557,$fot(X_3582))]]) ).
cnf(refute_0_108,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,C)
| coll(C,X_3582,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_3582) )],[refute_0_107,refute_0_94]) ).
cnf(refute_0_109,plain,
coll(X_3524,X_3524,X_3525),
inference(subst,[],[refute_0_62:[bind(X_574,$fot(X_3525)),bind(X_575,$fot(X_3524))]]) ).
cnf(refute_0_110,plain,
( ~ coll(X_3524,X_3524,X_3525)
| ~ coll(X_3524,X_3524,X_3526)
| coll(X_3525,X_3526,X_3524) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3524)),bind(B,$fot(X_3524)),bind(C,$fot(X_3525)),bind(D,$fot(X_3526))]]) ).
cnf(refute_0_111,plain,
( ~ coll(X_3524,X_3524,X_3526)
| coll(X_3525,X_3526,X_3524) ),
inference(resolve,[$cnf( coll(X_3524,X_3524,X_3525) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
coll(X_3524,X_3524,X_3526),
inference(subst,[],[refute_0_62:[bind(X_574,$fot(X_3526)),bind(X_575,$fot(X_3524))]]) ).
cnf(refute_0_113,plain,
coll(X_3525,X_3526,X_3524),
inference(resolve,[$cnf( coll(X_3524,X_3524,X_3526) )],[refute_0_112,refute_0_111]) ).
cnf(refute_0_114,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_113:[bind(X_3524,$fot(C)),bind(X_3525,$fot(skolemFOFtoCNF_D)),bind(X_3526,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_115,plain,
coll(C,X_3582,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,C) )],[refute_0_114,refute_0_108]) ).
cnf(refute_0_116,plain,
coll(X_3583,X_3584,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_115:[bind(C,$fot(X_3583)),bind(X_3582,$fot(X_3584))]]) ).
cnf(refute_0_117,plain,
coll(X_3583,skolemFOFtoCNF_D,X_3584),
inference(resolve,[$cnf( coll(X_3583,X_3584,skolemFOFtoCNF_D) )],[refute_0_116,refute_0_93]) ).
cnf(refute_0_118,plain,
coll(X_3585,skolemFOFtoCNF_D,X_3586),
inference(subst,[],[refute_0_117:[bind(X_3583,$fot(X_3585)),bind(X_3584,$fot(X_3586))]]) ).
cnf(refute_0_119,plain,
( ~ coll(X_3585,skolemFOFtoCNF_D,C)
| coll(C,X_3586,X_3585) ),
inference(resolve,[$cnf( coll(X_3585,skolemFOFtoCNF_D,X_3586) )],[refute_0_118,refute_0_92]) ).
cnf(refute_0_120,plain,
coll(X_3585,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_113:[bind(X_3524,$fot(C)),bind(X_3525,$fot(X_3585)),bind(X_3526,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_121,plain,
coll(C,X_3586,X_3585),
inference(resolve,[$cnf( coll(X_3585,skolemFOFtoCNF_D,C) )],[refute_0_120,refute_0_119]) ).
cnf(refute_0_122,plain,
coll(O,A,C),
inference(subst,[],[refute_0_121:[bind(C,$fot(O)),bind(X_3585,$fot(C)),bind(X_3586,$fot(A))]]) ).
cnf(refute_0_123,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_122,refute_0_91]) ).
cnf(refute_0_124,plain,
( ~ circle(skolemFOFtoCNF_N,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_125,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_N,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_90,refute_0_124]) ).
cnf(refute_0_126,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_125,refute_0_83]) ).
cnf(refute_0_127,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_126,refute_0_81]) ).
cnf(refute_0_128,plain,
( ~ midp(X_3653,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_A,X_3653,skolemFOFtoCNF_A,X_3653) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(X_3653))]]) ).
cnf(refute_0_129,plain,
( ~ midp(X_3653,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_A,X_3653,skolemFOFtoCNF_A,X_3653) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
( ~ midp(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_129:[bind(X_3653,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_131,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_N),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_79,refute_0_130]) ).
cnf(refute_0_132,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_N,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_N) )],[refute_0_131,refute_0_78]) ).
cnf(refute_0_133,plain,
cong(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_N),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_N,skolemFOFtoCNF_A) )],[refute_0_132,refute_0_77]) ).
cnf(refute_0_134,plain,
cong(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_N) )],[refute_0_133,refute_0_76]) ).
cnf(refute_0_135,plain,
( ~ coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_A) )],[refute_0_134,refute_0_75]) ).
cnf(refute_0_136,plain,
coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_121:[bind(C,$fot(skolemFOFtoCNF_N)),bind(X_3585,$fot(skolemFOFtoCNF_A)),bind(X_3586,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_137,plain,
midp(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_136,refute_0_135]) ).
cnf(refute_0_138,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,Q),skolemFOFtoCNF_A,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_137,refute_0_73]) ).
cnf(refute_0_139,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_138:[bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_140,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3603,X_3603),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_139,refute_0_72]) ).
cnf(refute_0_141,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3685,X_3685),
inference(subst,[],[refute_0_140:[bind(X_3603,$fot(X_3685))]]) ).
cnf(refute_0_142,plain,
midp(skolemFOFtoCNF_P_1(X_3685,Q),X_3685,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),X_3685,X_3685) )],[refute_0_141,refute_0_67]) ).
cnf(refute_0_143,plain,
midp(skolemFOFtoCNF_P_1(X_3687,X_3686),X_3687,X_3686),
inference(subst,[],[refute_0_142:[bind(Q,$fot(X_3686)),bind(X_3685,$fot(X_3687))]]) ).
cnf(refute_0_144,plain,
cong(skolemFOFtoCNF_P_1(X_3687,X_3686),X_3687,skolemFOFtoCNF_P_1(X_3687,X_3686),X_3686),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_3687,X_3686),X_3687,X_3686) )],[refute_0_143,refute_0_24]) ).
cnf(refute_0_145,plain,
cong(skolemFOFtoCNF_P_1(X_5604,X_5603),X_5604,skolemFOFtoCNF_P_1(X_5604,X_5603),X_5603),
inference(subst,[],[refute_0_144:[bind(X_3686,$fot(X_5603)),bind(X_3687,$fot(X_5604))]]) ).
cnf(refute_0_146,plain,
cyclic(X_5604,X_5603,X_5603,X_5603),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_5604,X_5603),X_5604,skolemFOFtoCNF_P_1(X_5604,X_5603),X_5603) )],[refute_0_145,refute_0_22]) ).
cnf(refute_0_147,plain,
cyclic(X_5606,X_5605,X_5605,X_5605),
inference(subst,[],[refute_0_146:[bind(X_5603,$fot(X_5605)),bind(X_5604,$fot(X_5606))]]) ).
cnf(refute_0_148,plain,
cyclic(X_5605,X_5606,X_5605,X_5605),
inference(resolve,[$cnf( cyclic(X_5606,X_5605,X_5605,X_5605) )],[refute_0_147,refute_0_21]) ).
cnf(refute_0_149,plain,
cyclic(X_5607,X_5608,X_5607,X_5607),
inference(subst,[],[refute_0_148:[bind(X_5605,$fot(X_5607)),bind(X_5606,$fot(X_5608))]]) ).
cnf(refute_0_150,plain,
cyclic(X_5607,X_5607,X_5608,X_5607),
inference(resolve,[$cnf( cyclic(X_5607,X_5608,X_5607,X_5607) )],[refute_0_149,refute_0_20]) ).
cnf(refute_0_151,plain,
cyclic(X_5609,X_5609,X_5610,X_5609),
inference(subst,[],[refute_0_150:[bind(X_5607,$fot(X_5609)),bind(X_5608,$fot(X_5610))]]) ).
cnf(refute_0_152,plain,
cyclic(X_5609,X_5609,X_5609,X_5610),
inference(resolve,[$cnf( cyclic(X_5609,X_5609,X_5610,X_5609) )],[refute_0_151,refute_0_19]) ).
cnf(refute_0_153,plain,
cyclic(X_5611,X_5611,X_5611,X_5612),
inference(subst,[],[refute_0_152:[bind(X_5609,$fot(X_5611)),bind(X_5610,$fot(X_5612))]]) ).
cnf(refute_0_154,plain,
cyclic(X_5611,X_5611,X_5612,X_5612),
inference(resolve,[$cnf( cyclic(X_5611,X_5611,X_5611,X_5612) )],[refute_0_153,refute_0_17]) ).
cnf(refute_0_155,plain,
cyclic(X_5613,X_5613,X_5614,X_5614),
inference(subst,[],[refute_0_154:[bind(X_5611,$fot(X_5613)),bind(X_5612,$fot(X_5614))]]) ).
cnf(refute_0_156,plain,
( ~ cong(X_5613,X_5614,X_5613,X_5614)
| perp(X_5614,X_5613,X_5613,X_5614) ),
inference(resolve,[$cnf( cyclic(X_5613,X_5613,X_5614,X_5614) )],[refute_0_155,refute_0_15]) ).
cnf(refute_0_157,plain,
( ~ midp(X_3693,X_3692,X_3692)
| cong(X_3693,X_3692,X_3693,X_3692) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_3693)),bind(B,$fot(X_3692)),bind(C,$fot(X_3692))]]) ).
cnf(refute_0_158,plain,
( ~ midp(X_3672,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_3672,X_3603,X_3603) ),
inference(subst,[],[refute_0_71:[bind(X_3602,$fot(skolemFOFtoCNF_A)),bind(X_3604,$fot(X_3672))]]) ).
cnf(refute_0_159,plain,
( ~ coll(X_3671,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ cong(X_3671,skolemFOFtoCNF_A,X_3671,skolemFOFtoCNF_A)
| midp(X_3671,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(X_3671)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_160,plain,
( ~ cong(X_3668,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3668)
| cong(X_3668,skolemFOFtoCNF_A,X_3668,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_3668)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3668))]]) ).
cnf(refute_0_161,plain,
( ~ cong(skolemFOFtoCNF_A,X_3664,X_3664,skolemFOFtoCNF_A)
| cong(X_3664,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3664) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3664)),bind(C,$fot(X_3664)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_162,plain,
( ~ cong(skolemFOFtoCNF_A,X_3659,skolemFOFtoCNF_A,X_3659)
| cong(skolemFOFtoCNF_A,X_3659,X_3659,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3659)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3659))]]) ).
cnf(refute_0_163,plain,
( ~ midp(skolemFOFtoCNF_A,X_3655,X_3655)
| cong(skolemFOFtoCNF_A,X_3655,skolemFOFtoCNF_A,X_3655) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3655)),bind(C,$fot(X_3655))]]) ).
cnf(refute_0_164,plain,
( ~ midp(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_N)
| midp(skolemFOFtoCNF_A,X_3603,X_3603) ),
inference(subst,[],[refute_0_71:[bind(X_3602,$fot(skolemFOFtoCNF_N)),bind(X_3604,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_165,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_N)
| ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_N)
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_N)),bind(C,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_166,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_N)
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_N) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_N) )],[refute_0_131,refute_0_165]) ).
cnf(refute_0_167,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_N),
inference(subst,[],[refute_0_121:[bind(C,$fot(skolemFOFtoCNF_A)),bind(X_3585,$fot(skolemFOFtoCNF_N)),bind(X_3586,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_168,plain,
midp(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_N),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_N) )],[refute_0_167,refute_0_166]) ).
cnf(refute_0_169,plain,
midp(skolemFOFtoCNF_A,X_3603,X_3603),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,skolemFOFtoCNF_N,skolemFOFtoCNF_N) )],[refute_0_168,refute_0_164]) ).
cnf(refute_0_170,plain,
midp(skolemFOFtoCNF_A,X_3655,X_3655),
inference(subst,[],[refute_0_169:[bind(X_3603,$fot(X_3655))]]) ).
cnf(refute_0_171,plain,
cong(skolemFOFtoCNF_A,X_3655,skolemFOFtoCNF_A,X_3655),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,X_3655,X_3655) )],[refute_0_170,refute_0_163]) ).
cnf(refute_0_172,plain,
cong(skolemFOFtoCNF_A,X_3659,skolemFOFtoCNF_A,X_3659),
inference(subst,[],[refute_0_171:[bind(X_3655,$fot(X_3659))]]) ).
cnf(refute_0_173,plain,
cong(skolemFOFtoCNF_A,X_3659,X_3659,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_3659,skolemFOFtoCNF_A,X_3659) )],[refute_0_172,refute_0_162]) ).
cnf(refute_0_174,plain,
cong(skolemFOFtoCNF_A,X_3664,X_3664,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_173:[bind(X_3659,$fot(X_3664))]]) ).
cnf(refute_0_175,plain,
cong(X_3664,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3664),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_3664,X_3664,skolemFOFtoCNF_A) )],[refute_0_174,refute_0_161]) ).
cnf(refute_0_176,plain,
cong(X_3668,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3668),
inference(subst,[],[refute_0_175:[bind(X_3664,$fot(X_3668))]]) ).
cnf(refute_0_177,plain,
cong(X_3668,skolemFOFtoCNF_A,X_3668,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(X_3668,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3668) )],[refute_0_176,refute_0_160]) ).
cnf(refute_0_178,plain,
cong(X_3671,skolemFOFtoCNF_A,X_3671,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_177:[bind(X_3668,$fot(X_3671))]]) ).
cnf(refute_0_179,plain,
( ~ coll(X_3671,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_3671,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( cong(X_3671,skolemFOFtoCNF_A,X_3671,skolemFOFtoCNF_A) )],[refute_0_178,refute_0_159]) ).
cnf(refute_0_180,plain,
coll(X_3671,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_121:[bind(C,$fot(X_3671)),bind(X_3585,$fot(skolemFOFtoCNF_A)),bind(X_3586,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_181,plain,
midp(X_3671,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(X_3671,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_180,refute_0_179]) ).
cnf(refute_0_182,plain,
midp(X_3672,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_181:[bind(X_3671,$fot(X_3672))]]) ).
cnf(refute_0_183,plain,
midp(X_3672,X_3603,X_3603),
inference(resolve,[$cnf( midp(X_3672,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_182,refute_0_158]) ).
cnf(refute_0_184,plain,
midp(X_3693,X_3692,X_3692),
inference(subst,[],[refute_0_183:[bind(X_3603,$fot(X_3692)),bind(X_3672,$fot(X_3693))]]) ).
cnf(refute_0_185,plain,
cong(X_3693,X_3692,X_3693,X_3692),
inference(resolve,[$cnf( midp(X_3693,X_3692,X_3692) )],[refute_0_184,refute_0_157]) ).
cnf(refute_0_186,plain,
cong(X_5613,X_5614,X_5613,X_5614),
inference(subst,[],[refute_0_185:[bind(X_3692,$fot(X_5614)),bind(X_3693,$fot(X_5613))]]) ).
cnf(refute_0_187,plain,
perp(X_5614,X_5613,X_5613,X_5614),
inference(resolve,[$cnf( cong(X_5613,X_5614,X_5613,X_5614) )],[refute_0_186,refute_0_156]) ).
cnf(refute_0_188,plain,
perp(X_5616,X_5615,X_5615,X_5616),
inference(subst,[],[refute_0_187:[bind(X_5613,$fot(X_5615)),bind(X_5614,$fot(X_5616))]]) ).
cnf(refute_0_189,plain,
( ~ midp(M,X_5616,X_5616)
| cong(X_5616,M,X_5615,M) ),
inference(resolve,[$cnf( perp(X_5616,X_5615,X_5615,X_5616) )],[refute_0_188,refute_0_13]) ).
cnf(refute_0_190,plain,
( ~ midp(X_3679,skolemFOFtoCNF_N,skolemFOFtoCNF_N)
| midp(X_3679,X_3603,X_3603) ),
inference(subst,[],[refute_0_71:[bind(X_3602,$fot(skolemFOFtoCNF_N)),bind(X_3604,$fot(X_3679))]]) ).
cnf(refute_0_191,plain,
( ~ coll(X_3678,skolemFOFtoCNF_N,skolemFOFtoCNF_N)
| ~ cong(X_3678,skolemFOFtoCNF_N,X_3678,skolemFOFtoCNF_N)
| midp(X_3678,skolemFOFtoCNF_N,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(X_3678)),bind(B,$fot(skolemFOFtoCNF_N)),bind(C,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_192,plain,
( ~ cong(X_3677,skolemFOFtoCNF_N,skolemFOFtoCNF_N,X_3677)
| cong(X_3677,skolemFOFtoCNF_N,X_3677,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_3677)),bind(B,$fot(skolemFOFtoCNF_N)),bind(C,$fot(skolemFOFtoCNF_N)),bind(D,$fot(X_3677))]]) ).
cnf(refute_0_193,plain,
( ~ cong(skolemFOFtoCNF_N,X_3673,X_3673,skolemFOFtoCNF_N)
| cong(X_3673,skolemFOFtoCNF_N,skolemFOFtoCNF_N,X_3673) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_N)),bind(B,$fot(X_3673)),bind(C,$fot(X_3673)),bind(D,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_194,plain,
( ~ cong(skolemFOFtoCNF_N,X_3662,skolemFOFtoCNF_N,X_3662)
| cong(skolemFOFtoCNF_N,X_3662,X_3662,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_N)),bind(B,$fot(X_3662)),bind(C,$fot(skolemFOFtoCNF_N)),bind(D,$fot(X_3662))]]) ).
cnf(refute_0_195,plain,
( ~ midp(skolemFOFtoCNF_N,X_3657,X_3657)
| cong(skolemFOFtoCNF_N,X_3657,skolemFOFtoCNF_N,X_3657) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_N)),bind(B,$fot(X_3657)),bind(C,$fot(X_3657))]]) ).
cnf(refute_0_196,plain,
( ~ midp(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_N,X_3603,X_3603) ),
inference(subst,[],[refute_0_71:[bind(X_3602,$fot(skolemFOFtoCNF_A)),bind(X_3604,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_197,plain,
midp(skolemFOFtoCNF_N,X_3603,X_3603),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_N,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_137,refute_0_196]) ).
cnf(refute_0_198,plain,
midp(skolemFOFtoCNF_N,X_3657,X_3657),
inference(subst,[],[refute_0_197:[bind(X_3603,$fot(X_3657))]]) ).
cnf(refute_0_199,plain,
cong(skolemFOFtoCNF_N,X_3657,skolemFOFtoCNF_N,X_3657),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_N,X_3657,X_3657) )],[refute_0_198,refute_0_195]) ).
cnf(refute_0_200,plain,
cong(skolemFOFtoCNF_N,X_3662,skolemFOFtoCNF_N,X_3662),
inference(subst,[],[refute_0_199:[bind(X_3657,$fot(X_3662))]]) ).
cnf(refute_0_201,plain,
cong(skolemFOFtoCNF_N,X_3662,X_3662,skolemFOFtoCNF_N),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_N,X_3662,skolemFOFtoCNF_N,X_3662) )],[refute_0_200,refute_0_194]) ).
cnf(refute_0_202,plain,
cong(skolemFOFtoCNF_N,X_3673,X_3673,skolemFOFtoCNF_N),
inference(subst,[],[refute_0_201:[bind(X_3662,$fot(X_3673))]]) ).
cnf(refute_0_203,plain,
cong(X_3673,skolemFOFtoCNF_N,skolemFOFtoCNF_N,X_3673),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_N,X_3673,X_3673,skolemFOFtoCNF_N) )],[refute_0_202,refute_0_193]) ).
cnf(refute_0_204,plain,
cong(X_3677,skolemFOFtoCNF_N,skolemFOFtoCNF_N,X_3677),
inference(subst,[],[refute_0_203:[bind(X_3673,$fot(X_3677))]]) ).
cnf(refute_0_205,plain,
cong(X_3677,skolemFOFtoCNF_N,X_3677,skolemFOFtoCNF_N),
inference(resolve,[$cnf( cong(X_3677,skolemFOFtoCNF_N,skolemFOFtoCNF_N,X_3677) )],[refute_0_204,refute_0_192]) ).
cnf(refute_0_206,plain,
cong(X_3678,skolemFOFtoCNF_N,X_3678,skolemFOFtoCNF_N),
inference(subst,[],[refute_0_205:[bind(X_3677,$fot(X_3678))]]) ).
cnf(refute_0_207,plain,
( ~ coll(X_3678,skolemFOFtoCNF_N,skolemFOFtoCNF_N)
| midp(X_3678,skolemFOFtoCNF_N,skolemFOFtoCNF_N) ),
inference(resolve,[$cnf( cong(X_3678,skolemFOFtoCNF_N,X_3678,skolemFOFtoCNF_N) )],[refute_0_206,refute_0_191]) ).
cnf(refute_0_208,plain,
coll(X_3678,skolemFOFtoCNF_N,skolemFOFtoCNF_N),
inference(subst,[],[refute_0_121:[bind(C,$fot(X_3678)),bind(X_3585,$fot(skolemFOFtoCNF_N)),bind(X_3586,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_209,plain,
midp(X_3678,skolemFOFtoCNF_N,skolemFOFtoCNF_N),
inference(resolve,[$cnf( coll(X_3678,skolemFOFtoCNF_N,skolemFOFtoCNF_N) )],[refute_0_208,refute_0_207]) ).
cnf(refute_0_210,plain,
midp(X_3679,skolemFOFtoCNF_N,skolemFOFtoCNF_N),
inference(subst,[],[refute_0_209:[bind(X_3678,$fot(X_3679))]]) ).
cnf(refute_0_211,plain,
midp(X_3679,X_3603,X_3603),
inference(resolve,[$cnf( midp(X_3679,skolemFOFtoCNF_N,skolemFOFtoCNF_N) )],[refute_0_210,refute_0_190]) ).
cnf(refute_0_212,plain,
midp(M,X_5616,X_5616),
inference(subst,[],[refute_0_211:[bind(X_3603,$fot(X_5616)),bind(X_3679,$fot(M))]]) ).
cnf(refute_0_213,plain,
cong(X_5616,M,X_5615,M),
inference(resolve,[$cnf( midp(M,X_5616,X_5616) )],[refute_0_212,refute_0_189]) ).
cnf(refute_0_214,plain,
cong(X_5635,X_5633,X_5634,X_5633),
inference(subst,[],[refute_0_213:[bind(M,$fot(X_5633)),bind(X_5615,$fot(X_5634)),bind(X_5616,$fot(X_5635))]]) ).
cnf(refute_0_215,plain,
cong(X_5635,X_5633,X_5633,X_5634),
inference(resolve,[$cnf( cong(X_5635,X_5633,X_5634,X_5633) )],[refute_0_214,refute_0_11]) ).
cnf(refute_0_216,plain,
cong(X_5638,X_5636,X_5636,X_5637),
inference(subst,[],[refute_0_215:[bind(X_5633,$fot(X_5636)),bind(X_5634,$fot(X_5637)),bind(X_5635,$fot(X_5638))]]) ).
cnf(refute_0_217,plain,
cong(X_5636,X_5637,X_5638,X_5636),
inference(resolve,[$cnf( cong(X_5638,X_5636,X_5636,X_5637) )],[refute_0_216,refute_0_10]) ).
cnf(refute_0_218,plain,
cong(X_5655,X_5656,X_5657,X_5655),
inference(subst,[],[refute_0_217:[bind(X_5636,$fot(X_5655)),bind(X_5637,$fot(X_5656)),bind(X_5638,$fot(X_5657))]]) ).
cnf(refute_0_219,plain,
cong(X_5655,X_5656,X_5655,X_5657),
inference(resolve,[$cnf( cong(X_5655,X_5656,X_5657,X_5655) )],[refute_0_218,refute_0_8]) ).
cnf(refute_0_220,plain,
cong(O,A,O,C),
inference(subst,[],[refute_0_219:[bind(X_5655,$fot(O)),bind(X_5656,$fot(A)),bind(X_5657,$fot(C))]]) ).
cnf(refute_0_221,plain,
( ~ cong(O,A,O,D)
| cyclic(A,C,C,D) ),
inference(resolve,[$cnf( cong(O,A,O,C) )],[refute_0_220,refute_0_6]) ).
cnf(refute_0_222,plain,
cong(O,A,O,D),
inference(subst,[],[refute_0_219:[bind(X_5655,$fot(O)),bind(X_5656,$fot(A)),bind(X_5657,$fot(D))]]) ).
cnf(refute_0_223,plain,
cyclic(A,C,C,D),
inference(resolve,[$cnf( cong(O,A,O,D) )],[refute_0_222,refute_0_221]) ).
cnf(refute_0_224,plain,
cyclic(X_10159,X_10160,X_10160,X_10161),
inference(subst,[],[refute_0_223:[bind(A,$fot(X_10159)),bind(C,$fot(X_10160)),bind(D,$fot(X_10161))]]) ).
cnf(refute_0_225,plain,
cyclic(X_10160,X_10159,X_10160,X_10161),
inference(resolve,[$cnf( cyclic(X_10159,X_10160,X_10160,X_10161) )],[refute_0_224,refute_0_4]) ).
cnf(refute_0_226,plain,
cyclic(X_10163,X_10162,X_10163,X_10164),
inference(subst,[],[refute_0_225:[bind(X_10159,$fot(X_10162)),bind(X_10160,$fot(X_10163)),bind(X_10161,$fot(X_10164))]]) ).
cnf(refute_0_227,plain,
cyclic(X_10163,X_10163,X_10162,X_10164),
inference(resolve,[$cnf( cyclic(X_10163,X_10162,X_10163,X_10164) )],[refute_0_226,refute_0_2]) ).
cnf(refute_0_228,plain,
cyclic(X_10424,X_10424,X_10425,X_10426),
inference(subst,[],[refute_0_227:[bind(X_10162,$fot(X_10425)),bind(X_10163,$fot(X_10424)),bind(X_10164,$fot(X_10426))]]) ).
cnf(refute_0_229,plain,
( ~ cyclic(X_10424,X_10424,X_10425,X_10426)
| ~ cyclic(X_10424,X_10424,X_10425,X_10427)
| cyclic(X_10424,X_10425,X_10426,X_10427) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_10424)),bind(B,$fot(X_10424)),bind(C,$fot(X_10425)),bind(D,$fot(X_10426)),bind(E,$fot(X_10427))]]) ).
cnf(refute_0_230,plain,
( ~ cyclic(X_10424,X_10424,X_10425,X_10427)
| cyclic(X_10424,X_10425,X_10426,X_10427) ),
inference(resolve,[$cnf( cyclic(X_10424,X_10424,X_10425,X_10426) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
cyclic(X_10424,X_10424,X_10425,X_10427),
inference(subst,[],[refute_0_227:[bind(X_10162,$fot(X_10425)),bind(X_10163,$fot(X_10424)),bind(X_10164,$fot(X_10427))]]) ).
cnf(refute_0_232,plain,
cyclic(X_10424,X_10425,X_10426,X_10427),
inference(resolve,[$cnf( cyclic(X_10424,X_10424,X_10425,X_10427) )],[refute_0_231,refute_0_230]) ).
cnf(refute_0_233,plain,
cyclic(skolemFOFtoCNF_L,skolemFOFtoCNF_D,skolemFOFtoCNF_M_3,skolemFOFtoCNF_N),
inference(subst,[],[refute_0_232:[bind(X_10424,$fot(skolemFOFtoCNF_L)),bind(X_10425,$fot(skolemFOFtoCNF_D)),bind(X_10426,$fot(skolemFOFtoCNF_M_3)),bind(X_10427,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_234,plain,
$false,
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_L,skolemFOFtoCNF_D,skolemFOFtoCNF_M_3,skolemFOFtoCNF_N) )],[refute_0_233,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO551+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sat Jun 18 10:03:27 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.32 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 51.39/51.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.39/51.59
% 51.39/51.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 51.39/51.61
%------------------------------------------------------------------------------