%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO624+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n006.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 05:27:44 EDT 2022
% Result : Theorem 129.55s 129.72s
% Output : CNFRefutation 129.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 90
% Number of leaves : 26
% Syntax : Number of formulae : 473 ( 216 unt; 0 def)
% Number of atoms : 892 ( 0 equ)
% Maximal formula atoms : 13 ( 1 avg)
% Number of connectives : 743 ( 324 ~; 319 |; 72 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 1033 ( 241 sgn 376 !; 13 ?)
% 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(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(exemplo6GDDFULL8110988,conjecture,
! [O,X,L,A,Y,B,P,Q,Q1,P1] :
( ( perp(A,L,O,X)
& coll(A,O,X)
& perp(B,L,O,Y)
& coll(B,O,Y)
& coll(L,A,P)
& cong(L,A,L,P)
& coll(L,B,Q)
& cong(L,B,L,Q)
& coll(Q1,L,A)
& coll(Q1,O,Y)
& coll(P1,O,X)
& coll(P1,L,B) )
=> cyclic(O,P,Q,P1) ) ).
fof(subgoal_0,plain,
! [O,X,L,A,Y,B,P,Q,Q1,P1] :
( ( perp(A,L,O,X)
& coll(A,O,X)
& perp(B,L,O,Y)
& coll(B,O,Y)
& coll(L,A,P)
& cong(L,A,L,P)
& coll(L,B,Q)
& cong(L,B,L,Q)
& coll(Q1,L,A)
& coll(Q1,O,Y)
& coll(P1,O,X)
& coll(P1,L,B) )
=> cyclic(O,P,Q,P1) ),
inference(strip,[],[exemplo6GDDFULL8110988]) ).
fof(negate_0_0,plain,
~ ! [O,X,L,A,Y,B,P,Q,Q1,P1] :
( ( perp(A,L,O,X)
& coll(A,O,X)
& perp(B,L,O,Y)
& coll(B,O,Y)
& coll(L,A,P)
& cong(L,A,L,P)
& coll(L,B,Q)
& cong(L,B,L,Q)
& coll(Q1,L,A)
& coll(Q1,O,Y)
& coll(P1,O,X)
& coll(P1,L,B) )
=> cyclic(O,P,Q,P1) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,L,O,P,P1,Q,Q1,X,Y] :
( ~ cyclic(O,P,Q,P1)
& coll(A,O,X)
& coll(B,O,Y)
& coll(L,A,P)
& coll(L,B,Q)
& coll(P1,L,B)
& coll(P1,O,X)
& coll(Q1,L,A)
& coll(Q1,O,Y)
& cong(L,A,L,P)
& cong(L,B,L,Q)
& perp(A,L,O,X)
& perp(B,L,O,Y) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ cyclic(skolemFOFtoCNF_O_2,skolemFOFtoCNF_P_8,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_P1)
& coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1)
& coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_Y)
& coll(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8)
& coll(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3)
& coll(skolemFOFtoCNF_P1,skolemFOFtoCNF_L,skolemFOFtoCNF_B_1)
& coll(skolemFOFtoCNF_P1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1)
& coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_L,skolemFOFtoCNF_A)
& coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_Y)
& cong(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_P_8)
& cong(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_L,skolemFOFtoCNF_Q_3)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_L,skolemFOFtoCNF_O_2,skolemFOFtoCNF_Y) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ cyclic(skolemFOFtoCNF_O_2,skolemFOFtoCNF_P_8,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_P1),
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,
cong(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_P_8),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_36,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[ruleD41]) ).
fof(normalize_0_37,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD40]) ).
fof(normalize_0_39,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
! [A,B,C,D,P,Q] :
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(clausify,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[ruleD19]) ).
fof(normalize_0_42,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(specialize,[],[normalize_0_41]) ).
fof(normalize_0_43,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[ruleD64]) ).
fof(normalize_0_44,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(specialize,[],[normalize_0_43]) ).
fof(normalize_0_45,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_46,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_45]) ).
fof(normalize_0_47,plain,
coll(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_48,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_49,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_48]) ).
fof(normalize_0_50,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_51,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_50]) ).
fof(normalize_0_52,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_53,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_52]) ).
fof(normalize_0_54,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_55,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_54]) ).
fof(normalize_0_56,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_57,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_56]) ).
fof(normalize_0_58,plain,
coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_L,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_59,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_60,plain,
coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_Y),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_61,plain,
coll(skolemFOFtoCNF_P1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_62,plain,
coll(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
~ cyclic(skolemFOFtoCNF_O_2,skolemFOFtoCNF_P_8,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_P1),
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_14503,X_14502,X_14503,X_14504)
| cyclic(X_14503,X_14503,X_14502,X_14504) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_14503)),bind(B,$fot(X_14502)),bind(C,$fot(X_14503)),bind(D,$fot(X_14504))]]) ).
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_14499,X_14500,X_14500,X_14501)
| cyclic(X_14500,X_14499,X_14500,X_14501) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_14499)),bind(B,$fot(X_14500)),bind(C,$fot(X_14500)),bind(D,$fot(X_14501))]]) ).
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,$fot(C))]]) ).
cnf(refute_0_7,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ cong(X_7128,X_7129,X_7130,X_7128)
| cong(X_7128,X_7129,X_7128,X_7130) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_7128)),bind(B,$fot(X_7129)),bind(C,$fot(X_7130)),bind(D,$fot(X_7128))]]) ).
cnf(refute_0_9,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ cong(X_7111,X_7109,X_7109,X_7110)
| cong(X_7109,X_7110,X_7111,X_7109) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_7111)),bind(B,$fot(X_7109)),bind(C,$fot(X_7109)),bind(D,$fot(X_7110))]]) ).
cnf(refute_0_11,plain,
( ~ cong(X_7108,X_7106,X_7107,X_7106)
| cong(X_7108,X_7106,X_7106,X_7107) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_7108)),bind(B,$fot(X_7106)),bind(C,$fot(X_7107)),bind(D,$fot(X_7106))]]) ).
cnf(refute_0_12,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_13,plain,
( ~ midp(M,X_7089,X_7089)
| ~ perp(X_7089,X_7088,X_7088,X_7089)
| cong(X_7089,M,X_7088,M) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_7089)),bind(B,$fot(X_7088)),bind(C,$fot(X_7089))]]) ).
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_7086,X_7087,X_7086,X_7087)
| ~ cyclic(X_7086,X_7086,X_7087,X_7087)
| perp(X_7087,X_7086,X_7086,X_7087) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_7086)),bind(B,$fot(X_7086)),bind(P,$fot(X_7087)),bind(Q,$fot(X_7087))]]) ).
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_7084,X_7084,X_7084,X_7085)
| cyclic(X_7084,X_7084,X_7085,X_7085) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_7084)),bind(B,$fot(X_7084)),bind(C,$fot(X_7084)),bind(D,$fot(X_7085)),bind(E,$fot(X_7085))]]) ).
cnf(refute_0_18,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_19,plain,
( ~ cyclic(X_7082,X_7082,X_7083,X_7082)
| cyclic(X_7082,X_7082,X_7082,X_7083) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_7082)),bind(B,$fot(X_7082)),bind(C,$fot(X_7083)),bind(D,$fot(X_7082))]]) ).
cnf(refute_0_20,plain,
( ~ cyclic(X_7080,X_7081,X_7080,X_7080)
| cyclic(X_7080,X_7080,X_7081,X_7080) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_7080)),bind(B,$fot(X_7081)),bind(C,$fot(X_7080)),bind(D,$fot(X_7080))]]) ).
cnf(refute_0_21,plain,
( ~ cyclic(X_7079,X_7078,X_7078,X_7078)
| cyclic(X_7078,X_7079,X_7078,X_7078) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_7079)),bind(B,$fot(X_7078)),bind(C,$fot(X_7078)),bind(D,$fot(X_7078))]]) ).
cnf(refute_0_22,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_7077,X_7076),X_7077,skolemFOFtoCNF_P_1(X_7077,X_7076),X_7076)
| cyclic(X_7077,X_7076,X_7076,X_7076) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_7077)),bind(B,$fot(X_7076)),bind(C,$fot(X_7076)),bind(D,$fot(X_7076)),bind(O,$fot(skolemFOFtoCNF_P_1(X_7077,X_7076)))]]) ).
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_5581,X_5580),X_5581,X_5580)
| cong(skolemFOFtoCNF_P_1(X_5581,X_5580),X_5581,skolemFOFtoCNF_P_1(X_5581,X_5580),X_5580) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P_1(X_5581,X_5580))),bind(B,$fot(X_5581)),bind(C,$fot(X_5580))]]) ).
cnf(refute_0_25,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_26,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_27,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_28,plain,
( ~ coll(X_548,X_548,X_547)
| coll(X_548,X_547,X_548) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_548)),bind(B,$fot(X_548)),bind(C,$fot(X_547))]]) ).
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_403,X_404,X_404)
| coll(X_404,X_404,X_403) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_403)),bind(B,$fot(X_404)),bind(C,$fot(X_404)),bind(D,$fot(X_404))]]) ).
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_401,X_402,X_401,X_402)
| coll(X_401,X_402,X_402) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_401)),bind(B,$fot(X_402)),bind(C,$fot(X_402))]]) ).
cnf(refute_0_33,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_34,plain,
( ~ eqangle(X_399,X_400,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_399,X_400,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_399,X_400,X_399,X_400) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_399)),bind(B,$fot(X_400)),bind(C,$fot(X_399)),bind(D,$fot(X_400)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_35,plain,
( ~ cong(skolemFOFtoCNF_L,skolemFOFtoCNF_P_8,skolemFOFtoCNF_L,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_36,plain,
cong(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_P_8),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_37,plain,
( ~ cong(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_P_8)
| cong(skolemFOFtoCNF_L,skolemFOFtoCNF_P_8,skolemFOFtoCNF_L,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_L)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_L)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_38,plain,
cong(skolemFOFtoCNF_L,skolemFOFtoCNF_P_8,skolemFOFtoCNF_L,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_P_8) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
cyclic(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_L,skolemFOFtoCNF_P_8,skolemFOFtoCNF_L,skolemFOFtoCNF_A) )],[refute_0_38,refute_0_35]) ).
cnf(refute_0_40,plain,
( ~ cyclic(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_41,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_43,plain,
( ~ cyclic(skolemFOFtoCNF_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_42:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_44,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_41,refute_0_43]) ).
cnf(refute_0_45,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_33:[bind(A,$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,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_46,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_48,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_159,X_160,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_159,X_160) ),
inference(subst,[],[refute_0_47:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(X_159)),bind(Q,$fot(X_160))]]) ).
cnf(refute_0_49,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_159,X_160,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_159,X_160),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_46,refute_0_48]) ).
cnf(refute_0_50,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_397,X_398,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_397,X_398),
inference(subst,[],[refute_0_49:[bind(X_159,$fot(X_397)),bind(X_160,$fot(X_398))]]) ).
cnf(refute_0_51,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_52,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_397,X_398,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_397,X_398)
| eqangle(X_397,X_398,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_397,X_398,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_51:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_397)),bind(D,$fot(X_398)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_397)),bind(V,$fot(X_398))]]) ).
cnf(refute_0_53,plain,
eqangle(X_397,X_398,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_397,X_398,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_397,X_398,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_397,X_398) )],[refute_0_50,refute_0_52]) ).
cnf(refute_0_54,plain,
eqangle(X_399,X_400,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_399,X_400,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_53:[bind(X_397,$fot(X_399)),bind(X_398,$fot(X_400))]]) ).
cnf(refute_0_55,plain,
para(X_399,X_400,X_399,X_400),
inference(resolve,[$cnf( eqangle(X_399,X_400,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_399,X_400,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_54,refute_0_34]) ).
cnf(refute_0_56,plain,
para(X_401,X_402,X_401,X_402),
inference(subst,[],[refute_0_55:[bind(X_399,$fot(X_401)),bind(X_400,$fot(X_402))]]) ).
cnf(refute_0_57,plain,
coll(X_401,X_402,X_402),
inference(resolve,[$cnf( para(X_401,X_402,X_401,X_402) )],[refute_0_56,refute_0_32]) ).
cnf(refute_0_58,plain,
coll(X_403,X_404,X_404),
inference(subst,[],[refute_0_57:[bind(X_401,$fot(X_403)),bind(X_402,$fot(X_404))]]) ).
cnf(refute_0_59,plain,
coll(X_404,X_404,X_403),
inference(resolve,[$cnf( coll(X_403,X_404,X_404) )],[refute_0_58,refute_0_30]) ).
cnf(refute_0_60,plain,
coll(X_548,X_548,X_547),
inference(subst,[],[refute_0_59:[bind(X_403,$fot(X_547)),bind(X_404,$fot(X_548))]]) ).
cnf(refute_0_61,plain,
coll(X_548,X_547,X_548),
inference(resolve,[$cnf( coll(X_548,X_548,X_547) )],[refute_0_60,refute_0_28]) ).
cnf(refute_0_62,plain,
coll(D,D,D),
inference(subst,[],[refute_0_61:[bind(X_547,$fot(D)),bind(X_548,$fot(D))]]) ).
cnf(refute_0_63,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_62,refute_0_26]) ).
cnf(refute_0_64,plain,
( ~ midp(skolemFOFtoCNF_A,X_4793,X_4793)
| midp(skolemFOFtoCNF_P_1(X_4793,Q),X_4793,Q) ),
inference(subst,[],[refute_0_63:[bind(D,$fot(X_4793)),bind(N,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_65,plain,
para(X_4722,X_4723,X_4722,X_4723),
inference(subst,[],[refute_0_55:[bind(X_399,$fot(X_4722)),bind(X_400,$fot(X_4723))]]) ).
cnf(refute_0_66,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_67,plain,
( ~ midp(X_4724,X_4722,X_4722)
| ~ para(X_4722,X_4723,X_4722,X_4723)
| midp(X_4724,X_4723,X_4723) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(X_4722)),bind(B,$fot(X_4722)),bind(C,$fot(X_4723)),bind(D,$fot(X_4723)),bind(M,$fot(X_4724))]]) ).
cnf(refute_0_68,plain,
( ~ midp(X_4724,X_4722,X_4722)
| midp(X_4724,X_4723,X_4723) ),
inference(resolve,[$cnf( para(X_4722,X_4723,X_4722,X_4723) )],[refute_0_65,refute_0_67]) ).
cnf(refute_0_69,plain,
( ~ midp(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_L)
| midp(skolemFOFtoCNF_A,X_4723,X_4723) ),
inference(subst,[],[refute_0_68:[bind(X_4722,$fot(skolemFOFtoCNF_L)),bind(X_4724,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_70,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_71,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_L)
| ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_L)
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_L) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_L)),bind(C,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_72,plain,
( ~ coll(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8)
| ~ cong(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_P_8)
| midp(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_L)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_73,plain,
( ~ coll(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8)
| midp(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_P_8) )],[refute_0_36,refute_0_72]) ).
cnf(refute_0_74,plain,
coll(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_75,plain,
midp(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8) )],[refute_0_74,refute_0_73]) ).
cnf(refute_0_76,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_77,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_78,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_79,plain,
( ~ perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_80,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_81,plain,
( ~ cong(skolemFOFtoCNF_L,skolemFOFtoCNF_P_8,skolemFOFtoCNF_L,skolemFOFtoCNF_A)
| circle(skolemFOFtoCNF_L,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_82,plain,
circle(skolemFOFtoCNF_L,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_L,skolemFOFtoCNF_P_8,skolemFOFtoCNF_L,skolemFOFtoCNF_A) )],[refute_0_38,refute_0_81]) ).
cnf(refute_0_83,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_84,plain,
( ~ circle(skolemFOFtoCNF_L,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ coll(skolemFOFtoCNF_L,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_85,plain,
( ~ coll(skolemFOFtoCNF_L,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_L,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_82,refute_0_84]) ).
cnf(refute_0_86,plain,
( ~ coll(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_L,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_L)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_87,plain,
coll(skolemFOFtoCNF_L,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8) )],[refute_0_74,refute_0_86]) ).
cnf(refute_0_88,plain,
perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_L,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) )],[refute_0_87,refute_0_85]) ).
cnf(refute_0_89,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_88,refute_0_79]) ).
cnf(refute_0_90,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) )],[refute_0_89,refute_0_77]) ).
cnf(refute_0_91,plain,
( ~ midp(X_4788,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8)
| ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8)
| cong(skolemFOFtoCNF_A,X_4788,skolemFOFtoCNF_A,X_4788) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(M,$fot(X_4788))]]) ).
cnf(refute_0_92,plain,
( ~ midp(X_4788,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8)
| cong(skolemFOFtoCNF_A,X_4788,skolemFOFtoCNF_A,X_4788) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
( ~ midp(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_L) ),
inference(subst,[],[refute_0_92:[bind(X_4788,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_94,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_L),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8) )],[refute_0_75,refute_0_93]) ).
cnf(refute_0_95,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_L)
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_L) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_L) )],[refute_0_94,refute_0_71]) ).
cnf(refute_0_96,plain,
( ~ coll(X_2272,skolemFOFtoCNF_Q1,C)
| ~ coll(X_2272,skolemFOFtoCNF_Q1,X_2273)
| coll(C,X_2273,X_2272) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2272)),bind(B,$fot(skolemFOFtoCNF_Q1)),bind(D,$fot(X_2273))]]) ).
cnf(refute_0_97,plain,
( ~ coll(X_2198,skolemFOFtoCNF_A,C)
| ~ coll(X_2198,skolemFOFtoCNF_A,skolemFOFtoCNF_Q1)
| coll(C,skolemFOFtoCNF_Q1,X_2198) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2198)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_Q1))]]) ).
cnf(refute_0_98,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_99,plain,
( ~ coll(skolemFOFtoCNF_A,X_2177,skolemFOFtoCNF_Q1)
| coll(X_2177,skolemFOFtoCNF_A,skolemFOFtoCNF_Q1) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_2177)),bind(C,$fot(skolemFOFtoCNF_Q1))]]) ).
cnf(refute_0_100,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_Q1)
| coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_Q1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_Q1)),bind(D,$fot(skolemFOFtoCNF_Q1))]]) ).
cnf(refute_0_101,plain,
coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_L,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_102,plain,
( ~ coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_L,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_Q1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_Q1)),bind(B,$fot(skolemFOFtoCNF_L)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_103,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_Q1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_L,skolemFOFtoCNF_A) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_Q1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_Q1) )],[refute_0_103,refute_0_100]) ).
cnf(refute_0_105,plain,
( ~ coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_Q1,X_2119)
| ~ coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_Q1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_2119,skolemFOFtoCNF_Q1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_Q1)),bind(B,$fot(skolemFOFtoCNF_Q1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_2119))]]) ).
cnf(refute_0_106,plain,
( ~ coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_Q1,X_2119)
| coll(skolemFOFtoCNF_A,X_2119,skolemFOFtoCNF_Q1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_Q1,skolemFOFtoCNF_A) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_Q1,X_2119),
inference(subst,[],[refute_0_59:[bind(X_403,$fot(X_2119)),bind(X_404,$fot(skolemFOFtoCNF_Q1))]]) ).
cnf(refute_0_108,plain,
coll(skolemFOFtoCNF_A,X_2119,skolemFOFtoCNF_Q1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_Q1,X_2119) )],[refute_0_107,refute_0_106]) ).
cnf(refute_0_109,plain,
coll(skolemFOFtoCNF_A,X_2177,skolemFOFtoCNF_Q1),
inference(subst,[],[refute_0_108:[bind(X_2119,$fot(X_2177))]]) ).
cnf(refute_0_110,plain,
coll(X_2177,skolemFOFtoCNF_A,skolemFOFtoCNF_Q1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_2177,skolemFOFtoCNF_Q1) )],[refute_0_109,refute_0_99]) ).
cnf(refute_0_111,plain,
coll(X_2198,skolemFOFtoCNF_A,skolemFOFtoCNF_Q1),
inference(subst,[],[refute_0_110:[bind(X_2177,$fot(X_2198))]]) ).
cnf(refute_0_112,plain,
( ~ coll(X_2198,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_Q1,X_2198) ),
inference(resolve,[$cnf( coll(X_2198,skolemFOFtoCNF_A,skolemFOFtoCNF_Q1) )],[refute_0_111,refute_0_97]) ).
cnf(refute_0_113,plain,
( ~ coll(X_2191,skolemFOFtoCNF_L,C)
| ~ coll(X_2191,skolemFOFtoCNF_L,X_2192)
| coll(C,X_2192,X_2191) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2191)),bind(B,$fot(skolemFOFtoCNF_L)),bind(D,$fot(X_2192))]]) ).
cnf(refute_0_114,plain,
( ~ coll(X_2185,skolemFOFtoCNF_A,C)
| ~ coll(X_2185,skolemFOFtoCNF_A,skolemFOFtoCNF_L)
| coll(C,skolemFOFtoCNF_L,X_2185) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2185)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_115,plain,
( ~ coll(skolemFOFtoCNF_L,X_2122,C)
| ~ coll(skolemFOFtoCNF_L,X_2122,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_L) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_L)),bind(B,$fot(X_2122)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_116,plain,
( ~ coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_L,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_L,skolemFOFtoCNF_Q1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_Q1)),bind(B,$fot(skolemFOFtoCNF_L)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_117,plain,
coll(skolemFOFtoCNF_L,skolemFOFtoCNF_Q1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_L,skolemFOFtoCNF_A) )],[refute_0_101,refute_0_116]) ).
cnf(refute_0_118,plain,
( ~ coll(skolemFOFtoCNF_L,skolemFOFtoCNF_Q1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_L) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_L)),bind(B,$fot(skolemFOFtoCNF_Q1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_119,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_L),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_L,skolemFOFtoCNF_Q1,skolemFOFtoCNF_A) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2119)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_L)
| coll(skolemFOFtoCNF_L,X_2119,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_L)),bind(D,$fot(X_2119))]]) ).
cnf(refute_0_121,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2119)
| coll(skolemFOFtoCNF_L,X_2119,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_L) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2119),
inference(subst,[],[refute_0_59:[bind(X_403,$fot(X_2119)),bind(X_404,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_123,plain,
coll(skolemFOFtoCNF_L,X_2119,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2119) )],[refute_0_122,refute_0_121]) ).
cnf(refute_0_124,plain,
coll(skolemFOFtoCNF_L,X_2122,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_123:[bind(X_2119,$fot(X_2122))]]) ).
cnf(refute_0_125,plain,
( ~ coll(skolemFOFtoCNF_L,X_2122,C)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_L) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_L,X_2122,skolemFOFtoCNF_A) )],[refute_0_124,refute_0_115]) ).
cnf(refute_0_126,plain,
coll(X_2117,X_2117,X_2118),
inference(subst,[],[refute_0_59:[bind(X_403,$fot(X_2118)),bind(X_404,$fot(X_2117))]]) ).
cnf(refute_0_127,plain,
( ~ coll(X_2117,X_2117,X_2118)
| ~ coll(X_2117,X_2117,X_2119)
| coll(X_2118,X_2119,X_2117) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2117)),bind(B,$fot(X_2117)),bind(C,$fot(X_2118)),bind(D,$fot(X_2119))]]) ).
cnf(refute_0_128,plain,
( ~ coll(X_2117,X_2117,X_2119)
| coll(X_2118,X_2119,X_2117) ),
inference(resolve,[$cnf( coll(X_2117,X_2117,X_2118) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
coll(X_2117,X_2117,X_2119),
inference(subst,[],[refute_0_59:[bind(X_403,$fot(X_2119)),bind(X_404,$fot(X_2117))]]) ).
cnf(refute_0_130,plain,
coll(X_2118,X_2119,X_2117),
inference(resolve,[$cnf( coll(X_2117,X_2117,X_2119) )],[refute_0_129,refute_0_128]) ).
cnf(refute_0_131,plain,
coll(skolemFOFtoCNF_L,X_2122,C),
inference(subst,[],[refute_0_130:[bind(X_2117,$fot(C)),bind(X_2118,$fot(skolemFOFtoCNF_L)),bind(X_2119,$fot(X_2122))]]) ).
cnf(refute_0_132,plain,
coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_L),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_L,X_2122,C) )],[refute_0_131,refute_0_125]) ).
cnf(refute_0_133,plain,
coll(X_2185,skolemFOFtoCNF_A,skolemFOFtoCNF_L),
inference(subst,[],[refute_0_132:[bind(C,$fot(X_2185))]]) ).
cnf(refute_0_134,plain,
( ~ coll(X_2185,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_L,X_2185) ),
inference(resolve,[$cnf( coll(X_2185,skolemFOFtoCNF_A,skolemFOFtoCNF_L) )],[refute_0_133,refute_0_114]) ).
cnf(refute_0_135,plain,
coll(X_2185,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_130:[bind(X_2117,$fot(C)),bind(X_2118,$fot(X_2185)),bind(X_2119,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_136,plain,
coll(C,skolemFOFtoCNF_L,X_2185),
inference(resolve,[$cnf( coll(X_2185,skolemFOFtoCNF_A,C) )],[refute_0_135,refute_0_134]) ).
cnf(refute_0_137,plain,
coll(X_2191,skolemFOFtoCNF_L,X_2192),
inference(subst,[],[refute_0_136:[bind(C,$fot(X_2191)),bind(X_2185,$fot(X_2192))]]) ).
cnf(refute_0_138,plain,
( ~ coll(X_2191,skolemFOFtoCNF_L,C)
| coll(C,X_2192,X_2191) ),
inference(resolve,[$cnf( coll(X_2191,skolemFOFtoCNF_L,X_2192) )],[refute_0_137,refute_0_113]) ).
cnf(refute_0_139,plain,
coll(X_2191,skolemFOFtoCNF_L,C),
inference(subst,[],[refute_0_130:[bind(X_2117,$fot(C)),bind(X_2118,$fot(X_2191)),bind(X_2119,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_140,plain,
coll(C,X_2192,X_2191),
inference(resolve,[$cnf( coll(X_2191,skolemFOFtoCNF_L,C) )],[refute_0_139,refute_0_138]) ).
cnf(refute_0_141,plain,
coll(X_2198,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_140:[bind(C,$fot(X_2198)),bind(X_2191,$fot(C)),bind(X_2192,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_142,plain,
coll(C,skolemFOFtoCNF_Q1,X_2198),
inference(resolve,[$cnf( coll(X_2198,skolemFOFtoCNF_A,C) )],[refute_0_141,refute_0_112]) ).
cnf(refute_0_143,plain,
coll(X_2272,skolemFOFtoCNF_Q1,X_2273),
inference(subst,[],[refute_0_142:[bind(C,$fot(X_2272)),bind(X_2198,$fot(X_2273))]]) ).
cnf(refute_0_144,plain,
( ~ coll(X_2272,skolemFOFtoCNF_Q1,C)
| coll(C,X_2273,X_2272) ),
inference(resolve,[$cnf( coll(X_2272,skolemFOFtoCNF_Q1,X_2273) )],[refute_0_143,refute_0_96]) ).
cnf(refute_0_145,plain,
( ~ coll(X_2270,skolemFOFtoCNF_O_2,C)
| ~ coll(X_2270,skolemFOFtoCNF_O_2,X_2271)
| coll(C,X_2271,X_2270) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2270)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(X_2271))]]) ).
cnf(refute_0_146,plain,
( ~ coll(X_2197,skolemFOFtoCNF_A,C)
| ~ coll(X_2197,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
| coll(C,skolemFOFtoCNF_O_2,X_2197) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2197)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_147,plain,
( ~ coll(skolemFOFtoCNF_A,X_2174,skolemFOFtoCNF_O_2)
| coll(X_2174,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_2174)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_148,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_X_1,skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_X_1)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_149,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_150,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_X_1,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_0_151,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_X_1,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_X_1,skolemFOFtoCNF_O_2) )],[refute_0_151,refute_0_148]) ).
cnf(refute_0_153,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_2119)
| ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_2119,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_2119))]]) ).
cnf(refute_0_154,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_2119)
| coll(skolemFOFtoCNF_A,X_2119,skolemFOFtoCNF_O_2) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_2119),
inference(subst,[],[refute_0_59:[bind(X_403,$fot(X_2119)),bind(X_404,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_156,plain,
coll(skolemFOFtoCNF_A,X_2119,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_2119) )],[refute_0_155,refute_0_154]) ).
cnf(refute_0_157,plain,
coll(skolemFOFtoCNF_A,X_2174,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_156:[bind(X_2119,$fot(X_2174))]]) ).
cnf(refute_0_158,plain,
coll(X_2174,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_2174,skolemFOFtoCNF_O_2) )],[refute_0_157,refute_0_147]) ).
cnf(refute_0_159,plain,
coll(X_2197,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_158:[bind(X_2174,$fot(X_2197))]]) ).
cnf(refute_0_160,plain,
( ~ coll(X_2197,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_O_2,X_2197) ),
inference(resolve,[$cnf( coll(X_2197,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_159,refute_0_146]) ).
cnf(refute_0_161,plain,
coll(X_2197,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_140:[bind(C,$fot(X_2197)),bind(X_2191,$fot(C)),bind(X_2192,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_162,plain,
coll(C,skolemFOFtoCNF_O_2,X_2197),
inference(resolve,[$cnf( coll(X_2197,skolemFOFtoCNF_A,C) )],[refute_0_161,refute_0_160]) ).
cnf(refute_0_163,plain,
coll(X_2270,skolemFOFtoCNF_O_2,X_2271),
inference(subst,[],[refute_0_162:[bind(C,$fot(X_2270)),bind(X_2197,$fot(X_2271))]]) ).
cnf(refute_0_164,plain,
( ~ coll(X_2270,skolemFOFtoCNF_O_2,C)
| coll(C,X_2271,X_2270) ),
inference(resolve,[$cnf( coll(X_2270,skolemFOFtoCNF_O_2,X_2271) )],[refute_0_163,refute_0_145]) ).
cnf(refute_0_165,plain,
( ~ coll(X_2260,skolemFOFtoCNF_P_8,C)
| ~ coll(X_2260,skolemFOFtoCNF_P_8,X_2261)
| coll(C,X_2261,X_2260) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2260)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(X_2261))]]) ).
cnf(refute_0_166,plain,
( ~ coll(X_2158,skolemFOFtoCNF_L,C)
| ~ coll(X_2158,skolemFOFtoCNF_L,skolemFOFtoCNF_P_8)
| coll(C,skolemFOFtoCNF_P_8,X_2158) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2158)),bind(B,$fot(skolemFOFtoCNF_L)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_167,plain,
( ~ coll(skolemFOFtoCNF_L,X_2137,skolemFOFtoCNF_P_8)
| coll(X_2137,skolemFOFtoCNF_L,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_L)),bind(B,$fot(X_2137)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_168,plain,
( ~ coll(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_L) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_L)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_169,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_L),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8) )],[refute_0_74,refute_0_168]) ).
cnf(refute_0_170,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_2119)
| ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_L)
| coll(skolemFOFtoCNF_L,X_2119,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_L)),bind(D,$fot(X_2119))]]) ).
cnf(refute_0_171,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_2119)
| coll(skolemFOFtoCNF_L,X_2119,skolemFOFtoCNF_P_8) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_L) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_2119),
inference(subst,[],[refute_0_59:[bind(X_403,$fot(X_2119)),bind(X_404,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_173,plain,
coll(skolemFOFtoCNF_L,X_2119,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,X_2119) )],[refute_0_172,refute_0_171]) ).
cnf(refute_0_174,plain,
coll(skolemFOFtoCNF_L,X_2137,skolemFOFtoCNF_P_8),
inference(subst,[],[refute_0_173:[bind(X_2119,$fot(X_2137))]]) ).
cnf(refute_0_175,plain,
coll(X_2137,skolemFOFtoCNF_L,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_L,X_2137,skolemFOFtoCNF_P_8) )],[refute_0_174,refute_0_167]) ).
cnf(refute_0_176,plain,
coll(X_2158,skolemFOFtoCNF_L,skolemFOFtoCNF_P_8),
inference(subst,[],[refute_0_175:[bind(X_2137,$fot(X_2158))]]) ).
cnf(refute_0_177,plain,
( ~ coll(X_2158,skolemFOFtoCNF_L,C)
| coll(C,skolemFOFtoCNF_P_8,X_2158) ),
inference(resolve,[$cnf( coll(X_2158,skolemFOFtoCNF_L,skolemFOFtoCNF_P_8) )],[refute_0_176,refute_0_166]) ).
cnf(refute_0_178,plain,
coll(X_2158,skolemFOFtoCNF_L,C),
inference(subst,[],[refute_0_130:[bind(X_2117,$fot(C)),bind(X_2118,$fot(X_2158)),bind(X_2119,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_179,plain,
coll(C,skolemFOFtoCNF_P_8,X_2158),
inference(resolve,[$cnf( coll(X_2158,skolemFOFtoCNF_L,C) )],[refute_0_178,refute_0_177]) ).
cnf(refute_0_180,plain,
coll(X_2260,skolemFOFtoCNF_P_8,X_2261),
inference(subst,[],[refute_0_179:[bind(C,$fot(X_2260)),bind(X_2158,$fot(X_2261))]]) ).
cnf(refute_0_181,plain,
( ~ coll(X_2260,skolemFOFtoCNF_P_8,C)
| coll(C,X_2261,X_2260) ),
inference(resolve,[$cnf( coll(X_2260,skolemFOFtoCNF_P_8,X_2261) )],[refute_0_180,refute_0_165]) ).
cnf(refute_0_182,plain,
( ~ coll(X_2218,skolemFOFtoCNF_Y,C)
| ~ coll(X_2218,skolemFOFtoCNF_Y,X_2219)
| coll(C,X_2219,X_2218) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2218)),bind(B,$fot(skolemFOFtoCNF_Y)),bind(D,$fot(X_2219))]]) ).
cnf(refute_0_183,plain,
( ~ coll(X_2166,skolemFOFtoCNF_Q1,C)
| ~ coll(X_2166,skolemFOFtoCNF_Q1,skolemFOFtoCNF_Y)
| coll(C,skolemFOFtoCNF_Y,X_2166) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2166)),bind(B,$fot(skolemFOFtoCNF_Q1)),bind(D,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_184,plain,
( ~ coll(skolemFOFtoCNF_Q1,X_2140,skolemFOFtoCNF_Y)
| coll(X_2140,skolemFOFtoCNF_Q1,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_Q1)),bind(B,$fot(X_2140)),bind(C,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_185,plain,
coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_Y),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_186,plain,
( ~ coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_Y)
| coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y,skolemFOFtoCNF_Q1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_Q1)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_Y)),bind(D,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_187,plain,
coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y,skolemFOFtoCNF_Q1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_Y) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
( ~ coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y,X_2119)
| ~ coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y,skolemFOFtoCNF_Q1)
| coll(skolemFOFtoCNF_Q1,X_2119,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_Y)),bind(B,$fot(skolemFOFtoCNF_Y)),bind(C,$fot(skolemFOFtoCNF_Q1)),bind(D,$fot(X_2119))]]) ).
cnf(refute_0_189,plain,
( ~ coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y,X_2119)
| coll(skolemFOFtoCNF_Q1,X_2119,skolemFOFtoCNF_Y) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y,skolemFOFtoCNF_Q1) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y,X_2119),
inference(subst,[],[refute_0_59:[bind(X_403,$fot(X_2119)),bind(X_404,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_191,plain,
coll(skolemFOFtoCNF_Q1,X_2119,skolemFOFtoCNF_Y),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y,X_2119) )],[refute_0_190,refute_0_189]) ).
cnf(refute_0_192,plain,
coll(skolemFOFtoCNF_Q1,X_2140,skolemFOFtoCNF_Y),
inference(subst,[],[refute_0_191:[bind(X_2119,$fot(X_2140))]]) ).
cnf(refute_0_193,plain,
coll(X_2140,skolemFOFtoCNF_Q1,skolemFOFtoCNF_Y),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q1,X_2140,skolemFOFtoCNF_Y) )],[refute_0_192,refute_0_184]) ).
cnf(refute_0_194,plain,
coll(X_2166,skolemFOFtoCNF_Q1,skolemFOFtoCNF_Y),
inference(subst,[],[refute_0_193:[bind(X_2140,$fot(X_2166))]]) ).
cnf(refute_0_195,plain,
( ~ coll(X_2166,skolemFOFtoCNF_Q1,C)
| coll(C,skolemFOFtoCNF_Y,X_2166) ),
inference(resolve,[$cnf( coll(X_2166,skolemFOFtoCNF_Q1,skolemFOFtoCNF_Y) )],[refute_0_194,refute_0_183]) ).
cnf(refute_0_196,plain,
coll(X_2166,skolemFOFtoCNF_Q1,C),
inference(subst,[],[refute_0_130:[bind(X_2117,$fot(C)),bind(X_2118,$fot(X_2166)),bind(X_2119,$fot(skolemFOFtoCNF_Q1))]]) ).
cnf(refute_0_197,plain,
coll(C,skolemFOFtoCNF_Y,X_2166),
inference(resolve,[$cnf( coll(X_2166,skolemFOFtoCNF_Q1,C) )],[refute_0_196,refute_0_195]) ).
cnf(refute_0_198,plain,
coll(X_2218,skolemFOFtoCNF_Y,X_2219),
inference(subst,[],[refute_0_197:[bind(C,$fot(X_2218)),bind(X_2166,$fot(X_2219))]]) ).
cnf(refute_0_199,plain,
( ~ coll(X_2218,skolemFOFtoCNF_Y,C)
| coll(C,X_2219,X_2218) ),
inference(resolve,[$cnf( coll(X_2218,skolemFOFtoCNF_Y,X_2219) )],[refute_0_198,refute_0_182]) ).
cnf(refute_0_200,plain,
( ~ coll(X_2216,skolemFOFtoCNF_P1,C)
| ~ coll(X_2216,skolemFOFtoCNF_P1,X_2217)
| coll(C,X_2217,X_2216) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2216)),bind(B,$fot(skolemFOFtoCNF_P1)),bind(D,$fot(X_2217))]]) ).
cnf(refute_0_201,plain,
( ~ coll(X_2162,skolemFOFtoCNF_O_2,C)
| ~ coll(X_2162,skolemFOFtoCNF_O_2,skolemFOFtoCNF_P1)
| coll(C,skolemFOFtoCNF_P1,X_2162) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2162)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_P1))]]) ).
cnf(refute_0_202,plain,
( ~ coll(skolemFOFtoCNF_O_2,X_2135,skolemFOFtoCNF_P1)
| coll(X_2135,skolemFOFtoCNF_O_2,skolemFOFtoCNF_P1) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(X_2135)),bind(C,$fot(skolemFOFtoCNF_P1))]]) ).
cnf(refute_0_203,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1,skolemFOFtoCNF_P1)
| coll(skolemFOFtoCNF_P1,skolemFOFtoCNF_P1,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_X_1)),bind(C,$fot(skolemFOFtoCNF_P1)),bind(D,$fot(skolemFOFtoCNF_P1))]]) ).
cnf(refute_0_204,plain,
coll(skolemFOFtoCNF_P1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_205,plain,
( ~ coll(skolemFOFtoCNF_P1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_P1,skolemFOFtoCNF_X_1) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_P1)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_0_206,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_P1,skolemFOFtoCNF_X_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_P1,skolemFOFtoCNF_X_1)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1,skolemFOFtoCNF_P1) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_P1)),bind(C,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_0_208,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1,skolemFOFtoCNF_P1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_P1,skolemFOFtoCNF_X_1) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
coll(skolemFOFtoCNF_P1,skolemFOFtoCNF_P1,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1,skolemFOFtoCNF_P1) )],[refute_0_208,refute_0_203]) ).
cnf(refute_0_210,plain,
( ~ coll(skolemFOFtoCNF_P1,skolemFOFtoCNF_P1,X_2119)
| ~ coll(skolemFOFtoCNF_P1,skolemFOFtoCNF_P1,skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_O_2,X_2119,skolemFOFtoCNF_P1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_P1)),bind(B,$fot(skolemFOFtoCNF_P1)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(X_2119))]]) ).
cnf(refute_0_211,plain,
( ~ coll(skolemFOFtoCNF_P1,skolemFOFtoCNF_P1,X_2119)
| coll(skolemFOFtoCNF_O_2,X_2119,skolemFOFtoCNF_P1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P1,skolemFOFtoCNF_P1,skolemFOFtoCNF_O_2) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
coll(skolemFOFtoCNF_P1,skolemFOFtoCNF_P1,X_2119),
inference(subst,[],[refute_0_59:[bind(X_403,$fot(X_2119)),bind(X_404,$fot(skolemFOFtoCNF_P1))]]) ).
cnf(refute_0_213,plain,
coll(skolemFOFtoCNF_O_2,X_2119,skolemFOFtoCNF_P1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P1,skolemFOFtoCNF_P1,X_2119) )],[refute_0_212,refute_0_211]) ).
cnf(refute_0_214,plain,
coll(skolemFOFtoCNF_O_2,X_2135,skolemFOFtoCNF_P1),
inference(subst,[],[refute_0_213:[bind(X_2119,$fot(X_2135))]]) ).
cnf(refute_0_215,plain,
coll(X_2135,skolemFOFtoCNF_O_2,skolemFOFtoCNF_P1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,X_2135,skolemFOFtoCNF_P1) )],[refute_0_214,refute_0_202]) ).
cnf(refute_0_216,plain,
coll(X_2162,skolemFOFtoCNF_O_2,skolemFOFtoCNF_P1),
inference(subst,[],[refute_0_215:[bind(X_2135,$fot(X_2162))]]) ).
cnf(refute_0_217,plain,
( ~ coll(X_2162,skolemFOFtoCNF_O_2,C)
| coll(C,skolemFOFtoCNF_P1,X_2162) ),
inference(resolve,[$cnf( coll(X_2162,skolemFOFtoCNF_O_2,skolemFOFtoCNF_P1) )],[refute_0_216,refute_0_201]) ).
cnf(refute_0_218,plain,
coll(X_2162,skolemFOFtoCNF_O_2,C),
inference(subst,[],[refute_0_130:[bind(X_2117,$fot(C)),bind(X_2118,$fot(X_2162)),bind(X_2119,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_219,plain,
coll(C,skolemFOFtoCNF_P1,X_2162),
inference(resolve,[$cnf( coll(X_2162,skolemFOFtoCNF_O_2,C) )],[refute_0_218,refute_0_217]) ).
cnf(refute_0_220,plain,
coll(X_2216,skolemFOFtoCNF_P1,X_2217),
inference(subst,[],[refute_0_219:[bind(C,$fot(X_2216)),bind(X_2162,$fot(X_2217))]]) ).
cnf(refute_0_221,plain,
( ~ coll(X_2216,skolemFOFtoCNF_P1,C)
| coll(C,X_2217,X_2216) ),
inference(resolve,[$cnf( coll(X_2216,skolemFOFtoCNF_P1,X_2217) )],[refute_0_220,refute_0_200]) ).
cnf(refute_0_222,plain,
( ~ coll(X_2214,skolemFOFtoCNF_A,C)
| ~ coll(X_2214,skolemFOFtoCNF_A,X_2215)
| coll(C,X_2215,X_2214) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2214)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_2215))]]) ).
cnf(refute_0_223,plain,
( ~ coll(X_2128,skolemFOFtoCNF_P_8,C)
| ~ coll(X_2128,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,X_2128) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2128)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_224,plain,
( ~ coll(skolemFOFtoCNF_P_8,X_2123,skolemFOFtoCNF_A)
| coll(X_2123,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(X_2123)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_225,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_226,plain,
( ~ coll(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_L)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_227,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8) )],[refute_0_74,refute_0_226]) ).
cnf(refute_0_228,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_L)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_229,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_P_8) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) )],[refute_0_229,refute_0_225]) ).
cnf(refute_0_231,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2119)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_P_8,X_2119,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(X_2119))]]) ).
cnf(refute_0_232,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2119)
| coll(skolemFOFtoCNF_P_8,X_2119,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
coll(skolemFOFtoCNF_P_8,X_2119,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2119) )],[refute_0_122,refute_0_232]) ).
cnf(refute_0_234,plain,
coll(skolemFOFtoCNF_P_8,X_2123,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_233:[bind(X_2119,$fot(X_2123))]]) ).
cnf(refute_0_235,plain,
coll(X_2123,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,X_2123,skolemFOFtoCNF_A) )],[refute_0_234,refute_0_224]) ).
cnf(refute_0_236,plain,
coll(X_2128,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_235:[bind(X_2123,$fot(X_2128))]]) ).
cnf(refute_0_237,plain,
( ~ coll(X_2128,skolemFOFtoCNF_P_8,C)
| coll(C,skolemFOFtoCNF_A,X_2128) ),
inference(resolve,[$cnf( coll(X_2128,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) )],[refute_0_236,refute_0_223]) ).
cnf(refute_0_238,plain,
coll(X_2128,skolemFOFtoCNF_P_8,C),
inference(subst,[],[refute_0_130:[bind(X_2117,$fot(C)),bind(X_2118,$fot(X_2128)),bind(X_2119,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_239,plain,
coll(C,skolemFOFtoCNF_A,X_2128),
inference(resolve,[$cnf( coll(X_2128,skolemFOFtoCNF_P_8,C) )],[refute_0_238,refute_0_237]) ).
cnf(refute_0_240,plain,
coll(X_2214,skolemFOFtoCNF_A,X_2215),
inference(subst,[],[refute_0_239:[bind(C,$fot(X_2214)),bind(X_2128,$fot(X_2215))]]) ).
cnf(refute_0_241,plain,
( ~ coll(X_2214,skolemFOFtoCNF_A,C)
| coll(C,X_2215,X_2214) ),
inference(resolve,[$cnf( coll(X_2214,skolemFOFtoCNF_A,X_2215) )],[refute_0_240,refute_0_222]) ).
cnf(refute_0_242,plain,
( ~ coll(X_2206,skolemFOFtoCNF_B_1,C)
| ~ coll(X_2206,skolemFOFtoCNF_B_1,X_2207)
| coll(C,X_2207,X_2206) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2206)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_2207))]]) ).
cnf(refute_0_243,plain,
( ~ coll(X_2141,skolemFOFtoCNF_Q_3,C)
| ~ coll(X_2141,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_2141) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2141)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_244,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_2127,C)
| ~ coll(skolemFOFtoCNF_B_1,X_2127,skolemFOFtoCNF_Q_3)
| coll(C,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2127)),bind(D,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_245,plain,
coll(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_246,plain,
( ~ coll(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_L,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_L)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_247,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_L,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_L,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_L,skolemFOFtoCNF_Q_3)
| coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_L)),bind(C,$fot(skolemFOFtoCNF_Q_3)),bind(D,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_249,plain,
coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_L,skolemFOFtoCNF_Q_3) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
( ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,X_2119)
| ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_2119,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_2119))]]) ).
cnf(refute_0_251,plain,
( ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,X_2119)
| coll(skolemFOFtoCNF_B_1,X_2119,skolemFOFtoCNF_Q_3) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,X_2119),
inference(subst,[],[refute_0_59:[bind(X_403,$fot(X_2119)),bind(X_404,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_253,plain,
coll(skolemFOFtoCNF_B_1,X_2119,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3,X_2119) )],[refute_0_252,refute_0_251]) ).
cnf(refute_0_254,plain,
coll(skolemFOFtoCNF_B_1,X_2127,skolemFOFtoCNF_Q_3),
inference(subst,[],[refute_0_253:[bind(X_2119,$fot(X_2127))]]) ).
cnf(refute_0_255,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_2127,C)
| coll(C,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_2127,skolemFOFtoCNF_Q_3) )],[refute_0_254,refute_0_244]) ).
cnf(refute_0_256,plain,
coll(skolemFOFtoCNF_B_1,X_2127,C),
inference(subst,[],[refute_0_130:[bind(X_2117,$fot(C)),bind(X_2118,$fot(skolemFOFtoCNF_B_1)),bind(X_2119,$fot(X_2127))]]) ).
cnf(refute_0_257,plain,
coll(C,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_2127,C) )],[refute_0_256,refute_0_255]) ).
cnf(refute_0_258,plain,
coll(X_2141,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_257:[bind(C,$fot(X_2141))]]) ).
cnf(refute_0_259,plain,
( ~ coll(X_2141,skolemFOFtoCNF_Q_3,C)
| coll(C,skolemFOFtoCNF_B_1,X_2141) ),
inference(resolve,[$cnf( coll(X_2141,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1) )],[refute_0_258,refute_0_243]) ).
cnf(refute_0_260,plain,
coll(X_2141,skolemFOFtoCNF_Q_3,C),
inference(subst,[],[refute_0_130:[bind(X_2117,$fot(C)),bind(X_2118,$fot(X_2141)),bind(X_2119,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_261,plain,
coll(C,skolemFOFtoCNF_B_1,X_2141),
inference(resolve,[$cnf( coll(X_2141,skolemFOFtoCNF_Q_3,C) )],[refute_0_260,refute_0_259]) ).
cnf(refute_0_262,plain,
coll(X_2206,skolemFOFtoCNF_B_1,X_2207),
inference(subst,[],[refute_0_261:[bind(C,$fot(X_2206)),bind(X_2141,$fot(X_2207))]]) ).
cnf(refute_0_263,plain,
( ~ coll(X_2206,skolemFOFtoCNF_B_1,C)
| coll(C,X_2207,X_2206) ),
inference(resolve,[$cnf( coll(X_2206,skolemFOFtoCNF_B_1,X_2207) )],[refute_0_262,refute_0_242]) ).
cnf(refute_0_264,plain,
( ~ coll(X_2204,skolemFOFtoCNF_X_1,C)
| ~ coll(X_2204,skolemFOFtoCNF_X_1,X_2205)
| coll(C,X_2205,X_2204) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2204)),bind(B,$fot(skolemFOFtoCNF_X_1)),bind(D,$fot(X_2205))]]) ).
cnf(refute_0_265,plain,
( ~ coll(X_2189,skolemFOFtoCNF_O_2,C)
| ~ coll(X_2189,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1)
| coll(C,skolemFOFtoCNF_X_1,X_2189) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2189)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_0_266,plain,
( ~ coll(skolemFOFtoCNF_X_1,X_2176,C)
| ~ coll(skolemFOFtoCNF_X_1,X_2176,skolemFOFtoCNF_O_2)
| coll(C,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_X_1)),bind(B,$fot(X_2176)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_267,plain,
( ~ coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_X_1,skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_X_1)),bind(B,$fot(skolemFOFtoCNF_X_1)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_268,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_X_1) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_0_269,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_X_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1) )],[refute_0_149,refute_0_268]) ).
cnf(refute_0_270,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_X_1)
| coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_X_1,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_X_1)),bind(D,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_0_271,plain,
coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_X_1,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_X_1) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_X_1,skolemFOFtoCNF_X_1,skolemFOFtoCNF_O_2) )],[refute_0_271,refute_0_267]) ).
cnf(refute_0_273,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_2119)
| ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1)
| coll(skolemFOFtoCNF_X_1,X_2119,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_X_1)),bind(D,$fot(X_2119))]]) ).
cnf(refute_0_274,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_2119)
| coll(skolemFOFtoCNF_X_1,X_2119,skolemFOFtoCNF_O_2) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
coll(skolemFOFtoCNF_X_1,X_2119,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_2119) )],[refute_0_155,refute_0_274]) ).
cnf(refute_0_276,plain,
coll(skolemFOFtoCNF_X_1,X_2176,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_275:[bind(X_2119,$fot(X_2176))]]) ).
cnf(refute_0_277,plain,
( ~ coll(skolemFOFtoCNF_X_1,X_2176,C)
| coll(C,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_X_1,X_2176,skolemFOFtoCNF_O_2) )],[refute_0_276,refute_0_266]) ).
cnf(refute_0_278,plain,
coll(skolemFOFtoCNF_X_1,X_2176,C),
inference(subst,[],[refute_0_130:[bind(X_2117,$fot(C)),bind(X_2118,$fot(skolemFOFtoCNF_X_1)),bind(X_2119,$fot(X_2176))]]) ).
cnf(refute_0_279,plain,
coll(C,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_X_1,X_2176,C) )],[refute_0_278,refute_0_277]) ).
cnf(refute_0_280,plain,
coll(X_2189,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1),
inference(subst,[],[refute_0_279:[bind(C,$fot(X_2189))]]) ).
cnf(refute_0_281,plain,
( ~ coll(X_2189,skolemFOFtoCNF_O_2,C)
| coll(C,skolemFOFtoCNF_X_1,X_2189) ),
inference(resolve,[$cnf( coll(X_2189,skolemFOFtoCNF_O_2,skolemFOFtoCNF_X_1) )],[refute_0_280,refute_0_265]) ).
cnf(refute_0_282,plain,
coll(X_2189,skolemFOFtoCNF_O_2,C),
inference(subst,[],[refute_0_130:[bind(X_2117,$fot(C)),bind(X_2118,$fot(X_2189)),bind(X_2119,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_283,plain,
coll(C,skolemFOFtoCNF_X_1,X_2189),
inference(resolve,[$cnf( coll(X_2189,skolemFOFtoCNF_O_2,C) )],[refute_0_282,refute_0_281]) ).
cnf(refute_0_284,plain,
coll(X_2204,skolemFOFtoCNF_X_1,X_2205),
inference(subst,[],[refute_0_283:[bind(C,$fot(X_2204)),bind(X_2189,$fot(X_2205))]]) ).
cnf(refute_0_285,plain,
( ~ coll(X_2204,skolemFOFtoCNF_X_1,C)
| coll(C,X_2205,X_2204) ),
inference(resolve,[$cnf( coll(X_2204,skolemFOFtoCNF_X_1,X_2205) )],[refute_0_284,refute_0_264]) ).
cnf(refute_0_286,plain,
( ~ coll(X_2199,skolemFOFtoCNF_Q_3,C)
| ~ coll(X_2199,skolemFOFtoCNF_Q_3,X_2200)
| coll(C,X_2200,X_2199) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2199)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(D,$fot(X_2200))]]) ).
cnf(refute_0_287,plain,
( ~ coll(X_2142,skolemFOFtoCNF_B_1,C)
| ~ coll(X_2142,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3)
| coll(C,skolemFOFtoCNF_Q_3,X_2142) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2142)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_288,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_2127,skolemFOFtoCNF_Q_3)
| coll(X_2127,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_98:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2127)),bind(C,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_289,plain,
coll(X_2127,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_2127,skolemFOFtoCNF_Q_3) )],[refute_0_254,refute_0_288]) ).
cnf(refute_0_290,plain,
coll(X_2142,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3),
inference(subst,[],[refute_0_289:[bind(X_2127,$fot(X_2142))]]) ).
cnf(refute_0_291,plain,
( ~ coll(X_2142,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_Q_3,X_2142) ),
inference(resolve,[$cnf( coll(X_2142,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3) )],[refute_0_290,refute_0_287]) ).
cnf(refute_0_292,plain,
coll(X_2142,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_130:[bind(X_2117,$fot(C)),bind(X_2118,$fot(X_2142)),bind(X_2119,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_293,plain,
coll(C,skolemFOFtoCNF_Q_3,X_2142),
inference(resolve,[$cnf( coll(X_2142,skolemFOFtoCNF_B_1,C) )],[refute_0_292,refute_0_291]) ).
cnf(refute_0_294,plain,
coll(X_2199,skolemFOFtoCNF_Q_3,X_2200),
inference(subst,[],[refute_0_293:[bind(C,$fot(X_2199)),bind(X_2142,$fot(X_2200))]]) ).
cnf(refute_0_295,plain,
( ~ coll(X_2199,skolemFOFtoCNF_Q_3,C)
| coll(C,X_2200,X_2199) ),
inference(resolve,[$cnf( coll(X_2199,skolemFOFtoCNF_Q_3,X_2200) )],[refute_0_294,refute_0_286]) ).
cnf(refute_0_296,plain,
coll(X_2199,skolemFOFtoCNF_Q_3,C),
inference(subst,[],[refute_0_140:[bind(C,$fot(X_2199)),bind(X_2191,$fot(C)),bind(X_2192,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_297,plain,
coll(C,X_2200,X_2199),
inference(resolve,[$cnf( coll(X_2199,skolemFOFtoCNF_Q_3,C) )],[refute_0_296,refute_0_295]) ).
cnf(refute_0_298,plain,
coll(X_2204,skolemFOFtoCNF_X_1,C),
inference(subst,[],[refute_0_297:[bind(C,$fot(X_2204)),bind(X_2199,$fot(C)),bind(X_2200,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_0_299,plain,
coll(C,X_2205,X_2204),
inference(resolve,[$cnf( coll(X_2204,skolemFOFtoCNF_X_1,C) )],[refute_0_298,refute_0_285]) ).
cnf(refute_0_300,plain,
coll(X_2206,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_299:[bind(C,$fot(X_2206)),bind(X_2204,$fot(C)),bind(X_2205,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_301,plain,
coll(C,X_2207,X_2206),
inference(resolve,[$cnf( coll(X_2206,skolemFOFtoCNF_B_1,C) )],[refute_0_300,refute_0_263]) ).
cnf(refute_0_302,plain,
coll(X_2214,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_301:[bind(C,$fot(X_2214)),bind(X_2206,$fot(C)),bind(X_2207,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_303,plain,
coll(C,X_2215,X_2214),
inference(resolve,[$cnf( coll(X_2214,skolemFOFtoCNF_A,C) )],[refute_0_302,refute_0_241]) ).
cnf(refute_0_304,plain,
coll(X_2216,skolemFOFtoCNF_P1,C),
inference(subst,[],[refute_0_303:[bind(C,$fot(X_2216)),bind(X_2214,$fot(C)),bind(X_2215,$fot(skolemFOFtoCNF_P1))]]) ).
cnf(refute_0_305,plain,
coll(C,X_2217,X_2216),
inference(resolve,[$cnf( coll(X_2216,skolemFOFtoCNF_P1,C) )],[refute_0_304,refute_0_221]) ).
cnf(refute_0_306,plain,
coll(X_2218,skolemFOFtoCNF_Y,C),
inference(subst,[],[refute_0_305:[bind(C,$fot(X_2218)),bind(X_2216,$fot(C)),bind(X_2217,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_307,plain,
coll(C,X_2219,X_2218),
inference(resolve,[$cnf( coll(X_2218,skolemFOFtoCNF_Y,C) )],[refute_0_306,refute_0_199]) ).
cnf(refute_0_308,plain,
coll(X_2260,skolemFOFtoCNF_P_8,C),
inference(subst,[],[refute_0_307:[bind(C,$fot(X_2260)),bind(X_2218,$fot(C)),bind(X_2219,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_309,plain,
coll(C,X_2261,X_2260),
inference(resolve,[$cnf( coll(X_2260,skolemFOFtoCNF_P_8,C) )],[refute_0_308,refute_0_181]) ).
cnf(refute_0_310,plain,
coll(X_2270,skolemFOFtoCNF_O_2,C),
inference(subst,[],[refute_0_309:[bind(C,$fot(X_2270)),bind(X_2260,$fot(C)),bind(X_2261,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_311,plain,
coll(C,X_2271,X_2270),
inference(resolve,[$cnf( coll(X_2270,skolemFOFtoCNF_O_2,C) )],[refute_0_310,refute_0_164]) ).
cnf(refute_0_312,plain,
coll(X_2272,skolemFOFtoCNF_Q1,C),
inference(subst,[],[refute_0_311:[bind(C,$fot(X_2272)),bind(X_2270,$fot(C)),bind(X_2271,$fot(skolemFOFtoCNF_Q1))]]) ).
cnf(refute_0_313,plain,
coll(C,X_2273,X_2272),
inference(resolve,[$cnf( coll(X_2272,skolemFOFtoCNF_Q1,C) )],[refute_0_312,refute_0_144]) ).
cnf(refute_0_314,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_L),
inference(subst,[],[refute_0_313:[bind(C,$fot(skolemFOFtoCNF_A)),bind(X_2272,$fot(skolemFOFtoCNF_L)),bind(X_2273,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_315,plain,
midp(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_L),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_L) )],[refute_0_314,refute_0_95]) ).
cnf(refute_0_316,plain,
midp(skolemFOFtoCNF_A,X_4723,X_4723),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,skolemFOFtoCNF_L,skolemFOFtoCNF_L) )],[refute_0_315,refute_0_69]) ).
cnf(refute_0_317,plain,
midp(skolemFOFtoCNF_A,X_4793,X_4793),
inference(subst,[],[refute_0_316:[bind(X_4723,$fot(X_4793))]]) ).
cnf(refute_0_318,plain,
midp(skolemFOFtoCNF_P_1(X_4793,Q),X_4793,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,X_4793,X_4793) )],[refute_0_317,refute_0_64]) ).
cnf(refute_0_319,plain,
midp(skolemFOFtoCNF_P_1(X_5581,X_5580),X_5581,X_5580),
inference(subst,[],[refute_0_318:[bind(Q,$fot(X_5580)),bind(X_4793,$fot(X_5581))]]) ).
cnf(refute_0_320,plain,
cong(skolemFOFtoCNF_P_1(X_5581,X_5580),X_5581,skolemFOFtoCNF_P_1(X_5581,X_5580),X_5580),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_5581,X_5580),X_5581,X_5580) )],[refute_0_319,refute_0_24]) ).
cnf(refute_0_321,plain,
cong(skolemFOFtoCNF_P_1(X_7077,X_7076),X_7077,skolemFOFtoCNF_P_1(X_7077,X_7076),X_7076),
inference(subst,[],[refute_0_320:[bind(X_5580,$fot(X_7076)),bind(X_5581,$fot(X_7077))]]) ).
cnf(refute_0_322,plain,
cyclic(X_7077,X_7076,X_7076,X_7076),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_7077,X_7076),X_7077,skolemFOFtoCNF_P_1(X_7077,X_7076),X_7076) )],[refute_0_321,refute_0_22]) ).
cnf(refute_0_323,plain,
cyclic(X_7079,X_7078,X_7078,X_7078),
inference(subst,[],[refute_0_322:[bind(X_7076,$fot(X_7078)),bind(X_7077,$fot(X_7079))]]) ).
cnf(refute_0_324,plain,
cyclic(X_7078,X_7079,X_7078,X_7078),
inference(resolve,[$cnf( cyclic(X_7079,X_7078,X_7078,X_7078) )],[refute_0_323,refute_0_21]) ).
cnf(refute_0_325,plain,
cyclic(X_7080,X_7081,X_7080,X_7080),
inference(subst,[],[refute_0_324:[bind(X_7078,$fot(X_7080)),bind(X_7079,$fot(X_7081))]]) ).
cnf(refute_0_326,plain,
cyclic(X_7080,X_7080,X_7081,X_7080),
inference(resolve,[$cnf( cyclic(X_7080,X_7081,X_7080,X_7080) )],[refute_0_325,refute_0_20]) ).
cnf(refute_0_327,plain,
cyclic(X_7082,X_7082,X_7083,X_7082),
inference(subst,[],[refute_0_326:[bind(X_7080,$fot(X_7082)),bind(X_7081,$fot(X_7083))]]) ).
cnf(refute_0_328,plain,
cyclic(X_7082,X_7082,X_7082,X_7083),
inference(resolve,[$cnf( cyclic(X_7082,X_7082,X_7083,X_7082) )],[refute_0_327,refute_0_19]) ).
cnf(refute_0_329,plain,
cyclic(X_7084,X_7084,X_7084,X_7085),
inference(subst,[],[refute_0_328:[bind(X_7082,$fot(X_7084)),bind(X_7083,$fot(X_7085))]]) ).
cnf(refute_0_330,plain,
cyclic(X_7084,X_7084,X_7085,X_7085),
inference(resolve,[$cnf( cyclic(X_7084,X_7084,X_7084,X_7085) )],[refute_0_329,refute_0_17]) ).
cnf(refute_0_331,plain,
cyclic(X_7086,X_7086,X_7087,X_7087),
inference(subst,[],[refute_0_330:[bind(X_7084,$fot(X_7086)),bind(X_7085,$fot(X_7087))]]) ).
cnf(refute_0_332,plain,
( ~ cong(X_7086,X_7087,X_7086,X_7087)
| perp(X_7087,X_7086,X_7086,X_7087) ),
inference(resolve,[$cnf( cyclic(X_7086,X_7086,X_7087,X_7087) )],[refute_0_331,refute_0_15]) ).
cnf(refute_0_333,plain,
( ~ midp(X_4809,X_4808,X_4808)
| cong(X_4809,X_4808,X_4809,X_4808) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_4809)),bind(B,$fot(X_4808)),bind(C,$fot(X_4808))]]) ).
cnf(refute_0_334,plain,
( ~ midp(X_4807,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_4807,X_4723,X_4723) ),
inference(subst,[],[refute_0_68:[bind(X_4722,$fot(skolemFOFtoCNF_A)),bind(X_4724,$fot(X_4807))]]) ).
cnf(refute_0_335,plain,
( ~ coll(X_4806,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ cong(X_4806,skolemFOFtoCNF_A,X_4806,skolemFOFtoCNF_A)
| midp(X_4806,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(X_4806)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_336,plain,
( ~ cong(X_4803,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4803)
| cong(X_4803,skolemFOFtoCNF_A,X_4803,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_4803)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_4803))]]) ).
cnf(refute_0_337,plain,
( ~ cong(skolemFOFtoCNF_A,X_4799,X_4799,skolemFOFtoCNF_A)
| cong(X_4799,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4799) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_4799)),bind(C,$fot(X_4799)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_338,plain,
( ~ cong(skolemFOFtoCNF_A,X_4796,skolemFOFtoCNF_A,X_4796)
| cong(skolemFOFtoCNF_A,X_4796,X_4796,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_4796)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_4796))]]) ).
cnf(refute_0_339,plain,
( ~ midp(skolemFOFtoCNF_A,X_4793,X_4793)
| cong(skolemFOFtoCNF_A,X_4793,skolemFOFtoCNF_A,X_4793) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_4793)),bind(C,$fot(X_4793))]]) ).
cnf(refute_0_340,plain,
cong(skolemFOFtoCNF_A,X_4793,skolemFOFtoCNF_A,X_4793),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,X_4793,X_4793) )],[refute_0_317,refute_0_339]) ).
cnf(refute_0_341,plain,
cong(skolemFOFtoCNF_A,X_4796,skolemFOFtoCNF_A,X_4796),
inference(subst,[],[refute_0_340:[bind(X_4793,$fot(X_4796))]]) ).
cnf(refute_0_342,plain,
cong(skolemFOFtoCNF_A,X_4796,X_4796,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_4796,skolemFOFtoCNF_A,X_4796) )],[refute_0_341,refute_0_338]) ).
cnf(refute_0_343,plain,
cong(skolemFOFtoCNF_A,X_4799,X_4799,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_342:[bind(X_4796,$fot(X_4799))]]) ).
cnf(refute_0_344,plain,
cong(X_4799,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4799),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_4799,X_4799,skolemFOFtoCNF_A) )],[refute_0_343,refute_0_337]) ).
cnf(refute_0_345,plain,
cong(X_4803,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4803),
inference(subst,[],[refute_0_344:[bind(X_4799,$fot(X_4803))]]) ).
cnf(refute_0_346,plain,
cong(X_4803,skolemFOFtoCNF_A,X_4803,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(X_4803,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4803) )],[refute_0_345,refute_0_336]) ).
cnf(refute_0_347,plain,
cong(X_4806,skolemFOFtoCNF_A,X_4806,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_346:[bind(X_4803,$fot(X_4806))]]) ).
cnf(refute_0_348,plain,
( ~ coll(X_4806,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_4806,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( cong(X_4806,skolemFOFtoCNF_A,X_4806,skolemFOFtoCNF_A) )],[refute_0_347,refute_0_335]) ).
cnf(refute_0_349,plain,
coll(X_4806,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_313:[bind(C,$fot(X_4806)),bind(X_2272,$fot(skolemFOFtoCNF_A)),bind(X_2273,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_350,plain,
midp(X_4806,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(X_4806,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_349,refute_0_348]) ).
cnf(refute_0_351,plain,
midp(X_4807,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_350:[bind(X_4806,$fot(X_4807))]]) ).
cnf(refute_0_352,plain,
midp(X_4807,X_4723,X_4723),
inference(resolve,[$cnf( midp(X_4807,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_351,refute_0_334]) ).
cnf(refute_0_353,plain,
midp(X_4809,X_4808,X_4808),
inference(subst,[],[refute_0_352:[bind(X_4723,$fot(X_4808)),bind(X_4807,$fot(X_4809))]]) ).
cnf(refute_0_354,plain,
cong(X_4809,X_4808,X_4809,X_4808),
inference(resolve,[$cnf( midp(X_4809,X_4808,X_4808) )],[refute_0_353,refute_0_333]) ).
cnf(refute_0_355,plain,
cong(X_7086,X_7087,X_7086,X_7087),
inference(subst,[],[refute_0_354:[bind(X_4808,$fot(X_7087)),bind(X_4809,$fot(X_7086))]]) ).
cnf(refute_0_356,plain,
perp(X_7087,X_7086,X_7086,X_7087),
inference(resolve,[$cnf( cong(X_7086,X_7087,X_7086,X_7087) )],[refute_0_355,refute_0_332]) ).
cnf(refute_0_357,plain,
perp(X_7089,X_7088,X_7088,X_7089),
inference(subst,[],[refute_0_356:[bind(X_7086,$fot(X_7088)),bind(X_7087,$fot(X_7089))]]) ).
cnf(refute_0_358,plain,
( ~ midp(M,X_7089,X_7089)
| cong(X_7089,M,X_7088,M) ),
inference(resolve,[$cnf( perp(X_7089,X_7088,X_7088,X_7089) )],[refute_0_357,refute_0_13]) ).
cnf(refute_0_359,plain,
midp(M,X_7089,X_7089),
inference(subst,[],[refute_0_352:[bind(X_4723,$fot(X_7089)),bind(X_4807,$fot(M))]]) ).
cnf(refute_0_360,plain,
cong(X_7089,M,X_7088,M),
inference(resolve,[$cnf( midp(M,X_7089,X_7089) )],[refute_0_359,refute_0_358]) ).
cnf(refute_0_361,plain,
cong(X_7108,X_7106,X_7107,X_7106),
inference(subst,[],[refute_0_360:[bind(M,$fot(X_7106)),bind(X_7088,$fot(X_7107)),bind(X_7089,$fot(X_7108))]]) ).
cnf(refute_0_362,plain,
cong(X_7108,X_7106,X_7106,X_7107),
inference(resolve,[$cnf( cong(X_7108,X_7106,X_7107,X_7106) )],[refute_0_361,refute_0_11]) ).
cnf(refute_0_363,plain,
cong(X_7111,X_7109,X_7109,X_7110),
inference(subst,[],[refute_0_362:[bind(X_7106,$fot(X_7109)),bind(X_7107,$fot(X_7110)),bind(X_7108,$fot(X_7111))]]) ).
cnf(refute_0_364,plain,
cong(X_7109,X_7110,X_7111,X_7109),
inference(resolve,[$cnf( cong(X_7111,X_7109,X_7109,X_7110) )],[refute_0_363,refute_0_10]) ).
cnf(refute_0_365,plain,
cong(X_7128,X_7129,X_7130,X_7128),
inference(subst,[],[refute_0_364:[bind(X_7109,$fot(X_7128)),bind(X_7110,$fot(X_7129)),bind(X_7111,$fot(X_7130))]]) ).
cnf(refute_0_366,plain,
cong(X_7128,X_7129,X_7128,X_7130),
inference(resolve,[$cnf( cong(X_7128,X_7129,X_7130,X_7128) )],[refute_0_365,refute_0_8]) ).
cnf(refute_0_367,plain,
cong(O,A,O,C),
inference(subst,[],[refute_0_366:[bind(X_7128,$fot(O)),bind(X_7129,$fot(A)),bind(X_7130,$fot(C))]]) ).
cnf(refute_0_368,plain,
( ~ cong(O,A,O,D)
| cyclic(A,C,C,D) ),
inference(resolve,[$cnf( cong(O,A,O,C) )],[refute_0_367,refute_0_6]) ).
cnf(refute_0_369,plain,
cong(O,A,O,D),
inference(subst,[],[refute_0_366:[bind(X_7128,$fot(O)),bind(X_7129,$fot(A)),bind(X_7130,$fot(D))]]) ).
cnf(refute_0_370,plain,
cyclic(A,C,C,D),
inference(resolve,[$cnf( cong(O,A,O,D) )],[refute_0_369,refute_0_368]) ).
cnf(refute_0_371,plain,
cyclic(X_14499,X_14500,X_14500,X_14501),
inference(subst,[],[refute_0_370:[bind(A,$fot(X_14499)),bind(C,$fot(X_14500)),bind(D,$fot(X_14501))]]) ).
cnf(refute_0_372,plain,
cyclic(X_14500,X_14499,X_14500,X_14501),
inference(resolve,[$cnf( cyclic(X_14499,X_14500,X_14500,X_14501) )],[refute_0_371,refute_0_4]) ).
cnf(refute_0_373,plain,
cyclic(X_14503,X_14502,X_14503,X_14504),
inference(subst,[],[refute_0_372:[bind(X_14499,$fot(X_14502)),bind(X_14500,$fot(X_14503)),bind(X_14501,$fot(X_14504))]]) ).
cnf(refute_0_374,plain,
cyclic(X_14503,X_14503,X_14502,X_14504),
inference(resolve,[$cnf( cyclic(X_14503,X_14502,X_14503,X_14504) )],[refute_0_373,refute_0_2]) ).
cnf(refute_0_375,plain,
cyclic(X_15046,X_15046,X_15047,X_15048),
inference(subst,[],[refute_0_374:[bind(X_14502,$fot(X_15047)),bind(X_14503,$fot(X_15046)),bind(X_14504,$fot(X_15048))]]) ).
cnf(refute_0_376,plain,
( ~ cyclic(X_15046,X_15046,X_15047,X_15048)
| ~ cyclic(X_15046,X_15046,X_15047,X_15049)
| cyclic(X_15046,X_15047,X_15048,X_15049) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_15046)),bind(B,$fot(X_15046)),bind(C,$fot(X_15047)),bind(D,$fot(X_15048)),bind(E,$fot(X_15049))]]) ).
cnf(refute_0_377,plain,
( ~ cyclic(X_15046,X_15046,X_15047,X_15049)
| cyclic(X_15046,X_15047,X_15048,X_15049) ),
inference(resolve,[$cnf( cyclic(X_15046,X_15046,X_15047,X_15048) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
cyclic(X_15046,X_15046,X_15047,X_15049),
inference(subst,[],[refute_0_374:[bind(X_14502,$fot(X_15047)),bind(X_14503,$fot(X_15046)),bind(X_14504,$fot(X_15049))]]) ).
cnf(refute_0_379,plain,
cyclic(X_15046,X_15047,X_15048,X_15049),
inference(resolve,[$cnf( cyclic(X_15046,X_15046,X_15047,X_15049) )],[refute_0_378,refute_0_377]) ).
cnf(refute_0_380,plain,
cyclic(skolemFOFtoCNF_O_2,skolemFOFtoCNF_P_8,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_P1),
inference(subst,[],[refute_0_379:[bind(X_15046,$fot(skolemFOFtoCNF_O_2)),bind(X_15047,$fot(skolemFOFtoCNF_P_8)),bind(X_15048,$fot(skolemFOFtoCNF_Q_3)),bind(X_15049,$fot(skolemFOFtoCNF_P1))]]) ).
cnf(refute_0_381,plain,
$false,
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_O_2,skolemFOFtoCNF_P_8,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_P1) )],[refute_0_380,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO624+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jun 17 22:45:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 129.55/129.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 129.55/129.72
% 129.55/129.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 129.55/129.75
%------------------------------------------------------------------------------