%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO642+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.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 05:28:00 EDT 2022
% Result : Theorem 60.55s 60.74s
% Output : CNFRefutation 60.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 85
% Number of leaves : 31
% Syntax : Number of formulae : 591 ( 264 unt; 0 def)
% Number of atoms : 1119 ( 0 equ)
% Maximal formula atoms : 14 ( 1 avg)
% Number of connectives : 937 ( 409 ~; 404 |; 91 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-3 aty)
% Number of variables : 1150 ( 232 sgn 467 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ) ).
fof(ruleD7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ) ).
fof(ruleD8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C) )
=> circle(O,A,B,C) ) ).
fof(ruleD13,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C)
& cong(O,A,O,D) )
=> cyclic(A,B,C,D) ) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ) ).
fof(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ) ).
fof(ruleD53,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ) ).
fof(ruleD56,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q) )
=> perp(A,B,P,Q) ) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ) ).
fof(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(ruleX10,axiom,
! [A,B,C,H] :
? [P,Q] :
( ( perp(A,H,B,C)
& perp(B,H,A,C) )
=> ( coll(P,C,B)
& perp(A,P,C,B)
& coll(Q,C,A)
& perp(B,Q,C,A) ) ) ).
fof(ruleX11,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ) ).
fof(exemplo6GDDFULL81109108,conjecture,
! [A,B,O,C,P,D,G,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8] :
( ( midp(O,B,A)
& circle(O,A,NWPNT1,NWPNT2)
& circle(O,A,C,NWPNT3)
& circle(O,A,P,NWPNT4)
& circle(C,B,NWPNT5,NWPNT6)
& circle(O,A,D,NWPNT7)
& circle(C,B,D,NWPNT8)
& coll(G,B,P)
& coll(G,A,D)
& coll(E,A,C)
& coll(E,B,P)
& coll(F,A,D)
& coll(F,C,P) )
=> perp(E,F,A,D) ) ).
fof(subgoal_0,plain,
! [A,B,O,C,P,D,G,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8] :
( ( midp(O,B,A)
& circle(O,A,NWPNT1,NWPNT2)
& circle(O,A,C,NWPNT3)
& circle(O,A,P,NWPNT4)
& circle(C,B,NWPNT5,NWPNT6)
& circle(O,A,D,NWPNT7)
& circle(C,B,D,NWPNT8)
& coll(G,B,P)
& coll(G,A,D)
& coll(E,A,C)
& coll(E,B,P)
& coll(F,A,D)
& coll(F,C,P) )
=> perp(E,F,A,D) ),
inference(strip,[],[exemplo6GDDFULL81109108]) ).
fof(negate_0_0,plain,
~ ! [A,B,O,C,P,D,G,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8] :
( ( midp(O,B,A)
& circle(O,A,NWPNT1,NWPNT2)
& circle(O,A,C,NWPNT3)
& circle(O,A,P,NWPNT4)
& circle(C,B,NWPNT5,NWPNT6)
& circle(O,A,D,NWPNT7)
& circle(C,B,D,NWPNT8)
& coll(G,B,P)
& coll(G,A,D)
& coll(E,A,C)
& coll(E,B,P)
& coll(F,A,D)
& coll(F,C,P) )
=> perp(E,F,A,D) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F,G,O,P] :
( ~ perp(E,F,A,D)
& coll(E,A,C)
& coll(E,B,P)
& coll(F,A,D)
& coll(F,C,P)
& coll(G,A,D)
& coll(G,B,P)
& midp(O,B,A)
& ? [NWPNT3] : circle(O,A,C,NWPNT3)
& ? [NWPNT4] : circle(O,A,P,NWPNT4)
& ? [NWPNT7] : circle(O,A,D,NWPNT7)
& ? [NWPNT8] : circle(C,B,D,NWPNT8)
& ? [NWPNT1,NWPNT2] : circle(O,A,NWPNT1,NWPNT2)
& ? [NWPNT5,NWPNT6] : circle(C,B,NWPNT5,NWPNT6) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
& coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8)
& coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
& coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_8)
& coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
& coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8)
& midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
& ? [NWPNT3] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,NWPNT3)
& ? [NWPNT4] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_P_8,NWPNT4)
& ? [NWPNT7] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_D,NWPNT7)
& ? [NWPNT8] : circle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,NWPNT8)
& ? [NWPNT1,NWPNT2] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,NWPNT1,NWPNT2)
& ? [NWPNT5,NWPNT6] : circle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,NWPNT5,NWPNT6) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(canonicalize,[],[ruleD56]) ).
fof(normalize_0_4,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[ruleD52]) ).
fof(normalize_0_6,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[ruleD57]) ).
fof(normalize_0_8,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[ruleD17]) ).
fof(normalize_0_10,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_12,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_14,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_16,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,C,D,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[ruleD13]) ).
fof(normalize_0_18,plain,
! [A,B,C,D,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_20,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(canonicalize,[],[ruleX7]) ).
fof(normalize_0_22,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A,B,C,D,M,N,Q] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(clausify,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_25,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,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_27,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_26]) ).
fof(normalize_0_28,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_27]) ).
fof(normalize_0_29,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_30,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
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,[],[ruleD40]) ).
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] :
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(clausify,[],[normalize_0_33]) ).
fof(normalize_0_35,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_36,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_35]) ).
fof(normalize_0_37,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_38,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_37]) ).
fof(normalize_0_39,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_40,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_42,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_41]) ).
fof(normalize_0_43,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_44,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_43]) ).
fof(normalize_0_45,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_46,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_45]) ).
fof(normalize_0_47,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_48,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_47]) ).
fof(normalize_0_49,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[ruleD53]) ).
fof(normalize_0_50,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_49]) ).
fof(normalize_0_51,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_52,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_51]) ).
fof(normalize_0_53,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_54,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_53]) ).
fof(normalize_0_55,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_56,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_55]) ).
fof(normalize_0_57,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_58,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_57]) ).
fof(normalize_0_59,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| ? [P,Q] :
( coll(P,C,B)
& coll(Q,C,A)
& perp(A,P,C,B)
& perp(B,Q,C,A) ) ),
inference(canonicalize,[],[ruleX10]) ).
fof(normalize_0_60,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| ? [P,Q] :
( coll(P,C,B)
& coll(Q,C,A)
& perp(A,P,C,B)
& perp(B,Q,C,A) ) ),
inference(specialize,[],[normalize_0_59]) ).
fof(normalize_0_61,plain,
! [A,B,C,H] :
( ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(B,skolemFOFtoCNF_Q_1(A,B,C),C,A) ) ),
inference(clausify,[],[normalize_0_60]) ).
fof(normalize_0_62,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_63,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(canonicalize,[],[ruleX11]) ).
fof(normalize_0_64,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(specialize,[],[normalize_0_63]) ).
fof(normalize_0_65,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(clausify,[],[normalize_0_64]) ).
fof(normalize_0_66,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) ),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_67,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_68,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_8),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_69,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_70,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_71,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_72,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_73,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_74,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_73]) ).
fof(normalize_0_75,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_76,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_75]) ).
cnf(refute_0_0,plain,
~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ midp(M,X_9162,X_9162)
| ~ perp(X_9162,X_9161,X_9161,X_9162)
| cong(X_9162,M,X_9161,M) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_9162)),bind(B,$fot(X_9161)),bind(C,$fot(X_9162))]]) ).
cnf(refute_0_4,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ cong(X_9159,X_9160,X_9159,X_9160)
| ~ cyclic(X_9159,X_9159,X_9160,X_9160)
| perp(X_9160,X_9159,X_9159,X_9160) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_9159)),bind(B,$fot(X_9159)),bind(P,$fot(X_9160)),bind(Q,$fot(X_9160))]]) ).
cnf(refute_0_6,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ cyclic(X_9157,X_9157,X_9157,X_9158)
| cyclic(X_9157,X_9157,X_9158,X_9158) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_9157)),bind(B,$fot(X_9157)),bind(C,$fot(X_9157)),bind(D,$fot(X_9158)),bind(E,$fot(X_9158))]]) ).
cnf(refute_0_8,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_9,plain,
( ~ cyclic(X_9155,X_9155,X_9156,X_9155)
| cyclic(X_9155,X_9155,X_9155,X_9156) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_9155)),bind(B,$fot(X_9155)),bind(C,$fot(X_9156)),bind(D,$fot(X_9155))]]) ).
cnf(refute_0_10,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_11,plain,
( ~ cyclic(X_9153,X_9154,X_9153,X_9153)
| cyclic(X_9153,X_9153,X_9154,X_9153) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_9153)),bind(B,$fot(X_9154)),bind(C,$fot(X_9153)),bind(D,$fot(X_9153))]]) ).
cnf(refute_0_12,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_13,plain,
( ~ cyclic(X_9152,X_9151,X_9151,X_9151)
| cyclic(X_9151,X_9152,X_9151,X_9151) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_9152)),bind(B,$fot(X_9151)),bind(C,$fot(X_9151)),bind(D,$fot(X_9151))]]) ).
cnf(refute_0_14,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_15,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_9150,X_9149),X_9150,skolemFOFtoCNF_P_1(X_9150,X_9149),X_9149)
| cyclic(X_9150,X_9149,X_9149,X_9149) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_9150)),bind(B,$fot(X_9149)),bind(C,$fot(X_9149)),bind(D,$fot(X_9149)),bind(O,$fot(skolemFOFtoCNF_P_1(X_9150,X_9149)))]]) ).
cnf(refute_0_16,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_17,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_2480,X_2479),X_2480,X_2479)
| cong(skolemFOFtoCNF_P_1(X_2480,X_2479),X_2480,skolemFOFtoCNF_P_1(X_2480,X_2479),X_2479) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_P_1(X_2480,X_2479))),bind(B,$fot(X_2480)),bind(C,$fot(X_2479))]]) ).
cnf(refute_0_18,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_19,plain,
( ~ coll(X_368,X_368,X_368)
| ~ midp(N,X_368,X_368)
| midp(skolemFOFtoCNF_P_1(X_368,Q),X_368,Q) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_368)),bind(B,$fot(X_368)),bind(C,$fot(X_368)),bind(D,$fot(X_368)),bind(M,$fot(N))]]) ).
cnf(refute_0_20,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_21,plain,
( ~ para(X_365,X_366,X_365,X_366)
| coll(X_365,X_366,X_366) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_365)),bind(B,$fot(X_366)),bind(C,$fot(X_366))]]) ).
cnf(refute_0_22,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_23,plain,
( ~ eqangle(X_363,X_364,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_363,X_364,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_363,X_364,X_363,X_364) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_363)),bind(B,$fot(X_364)),bind(C,$fot(X_363)),bind(D,$fot(X_364)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_24,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_25,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_24:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_26,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_27,plain,
( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_28,plain,
midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_29,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_30,plain,
cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_30,refute_0_27]) ).
cnf(refute_0_32,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_31,refute_0_26]) ).
cnf(refute_0_33,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_32,refute_0_25]) ).
cnf(refute_0_34,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_22:[bind(A,$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,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_35,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_37,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(X_153)),bind(Q,$fot(X_154))]]) ).
cnf(refute_0_38,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_35,refute_0_37]) ).
cnf(refute_0_39,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_361,X_362,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_361,X_362),
inference(subst,[],[refute_0_38:[bind(X_153,$fot(X_361)),bind(X_154,$fot(X_362))]]) ).
cnf(refute_0_40,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_41,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_361,X_362,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_361,X_362)
| eqangle(X_361,X_362,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_361,X_362,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_361)),bind(D,$fot(X_362)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_361)),bind(V,$fot(X_362))]]) ).
cnf(refute_0_42,plain,
eqangle(X_361,X_362,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_361,X_362,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_361,X_362,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_361,X_362) )],[refute_0_39,refute_0_41]) ).
cnf(refute_0_43,plain,
eqangle(X_363,X_364,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_363,X_364,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_42:[bind(X_361,$fot(X_363)),bind(X_362,$fot(X_364))]]) ).
cnf(refute_0_44,plain,
para(X_363,X_364,X_363,X_364),
inference(resolve,[$cnf( eqangle(X_363,X_364,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_363,X_364,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_43,refute_0_23]) ).
cnf(refute_0_45,plain,
para(X_365,X_366,X_365,X_366),
inference(subst,[],[refute_0_44:[bind(X_363,$fot(X_365)),bind(X_364,$fot(X_366))]]) ).
cnf(refute_0_46,plain,
coll(X_365,X_366,X_366),
inference(resolve,[$cnf( para(X_365,X_366,X_365,X_366) )],[refute_0_45,refute_0_21]) ).
cnf(refute_0_47,plain,
coll(X_368,X_368,X_368),
inference(subst,[],[refute_0_46:[bind(X_365,$fot(X_368)),bind(X_366,$fot(X_368))]]) ).
cnf(refute_0_48,plain,
( ~ midp(N,X_368,X_368)
| midp(skolemFOFtoCNF_P_1(X_368,Q),X_368,Q) ),
inference(resolve,[$cnf( coll(X_368,X_368,X_368) )],[refute_0_47,refute_0_19]) ).
cnf(refute_0_49,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_2451,X_2451)
| midp(skolemFOFtoCNF_P_1(X_2451,Q),X_2451,Q) ),
inference(subst,[],[refute_0_48:[bind(N,$fot(skolemFOFtoCNF_B_1)),bind(X_368,$fot(X_2451))]]) ).
cnf(refute_0_50,plain,
para(X_2396,X_2397,X_2396,X_2397),
inference(subst,[],[refute_0_44:[bind(X_363,$fot(X_2396)),bind(X_364,$fot(X_2397))]]) ).
cnf(refute_0_51,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_52,plain,
( ~ midp(X_2398,X_2396,X_2396)
| ~ para(X_2396,X_2397,X_2396,X_2397)
| midp(X_2398,X_2397,X_2397) ),
inference(subst,[],[refute_0_51:[bind(A,$fot(X_2396)),bind(B,$fot(X_2396)),bind(C,$fot(X_2397)),bind(D,$fot(X_2397)),bind(M,$fot(X_2398))]]) ).
cnf(refute_0_53,plain,
( ~ midp(X_2398,X_2396,X_2396)
| midp(X_2398,X_2397,X_2397) ),
inference(resolve,[$cnf( para(X_2396,X_2397,X_2396,X_2397) )],[refute_0_50,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)
| midp(skolemFOFtoCNF_B_1,X_2397,X_2397) ),
inference(subst,[],[refute_0_53:[bind(X_2396,$fot(skolemFOFtoCNF_O_2)),bind(X_2398,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_55,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_56,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_55:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_57,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_58,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_57:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_59,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_60,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_59:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_61,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_62,plain,
( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_61:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_63,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_64,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_63:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_65,plain,
midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_28,refute_0_64]) ).
cnf(refute_0_66,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_67,plain,
cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_67,refute_0_62]) ).
cnf(refute_0_69,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_70,plain,
( ~ circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_71,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_68,refute_0_70]) ).
cnf(refute_0_72,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_73,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_74,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_65,refute_0_73]) ).
cnf(refute_0_75,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_74,refute_0_71]) ).
cnf(refute_0_76,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_75,refute_0_60]) ).
cnf(refute_0_77,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_76,refute_0_58]) ).
cnf(refute_0_78,plain,
( ~ midp(X_2446,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,X_2446,skolemFOFtoCNF_B_1,X_2446) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(M,$fot(X_2446))]]) ).
cnf(refute_0_79,plain,
( ~ midp(X_2446,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,X_2446,skolemFOFtoCNF_B_1,X_2446) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_79:[bind(X_2446,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_81,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_28,refute_0_80]) ).
cnf(refute_0_82,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) )],[refute_0_81,refute_0_56]) ).
cnf(refute_0_83,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_84,plain,
( ~ coll(X_1664,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),C)
| ~ coll(X_1664,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),X_1665)
| coll(C,X_1665,X_1664) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1664)),bind(B,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2))),bind(D,$fot(X_1665))]]) ).
cnf(refute_0_85,plain,
( ~ coll(X_1618,skolemFOFtoCNF_O_2,C)
| ~ coll(X_1618,skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2))
| coll(C,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),X_1618) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1618)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_86,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_87,plain,
( ~ coll(skolemFOFtoCNF_O_2,X_1608,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2))
| coll(X_1608,skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(X_1608)),bind(C,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_88,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2))
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2))),bind(D,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_89,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_90,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)) ),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2))),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_91,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2))),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_92,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_57:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2))),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_93,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_94,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_93:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(H,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_95,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_57:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2))),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_96,plain,
( ~ perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2))
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_59:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_97,plain,
( ~ perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)) ),
inference(subst,[],[refute_0_57:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2))),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_98,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_59:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_99,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_57:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_100,plain,
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_101,plain,
( ~ circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_102,plain,
( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
| circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_61:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_103,plain,
circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_30,refute_0_102]) ).
cnf(refute_0_104,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_103,refute_0_101]) ).
cnf(refute_0_105,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) )],[refute_0_104,refute_0_99]) ).
cnf(refute_0_106,plain,
perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_105,refute_0_98]) ).
cnf(refute_0_107,plain,
perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1) )],[refute_0_106,refute_0_97]) ).
cnf(refute_0_108,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)) )],[refute_0_107,refute_0_96]) ).
cnf(refute_0_109,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_108,refute_0_95]) ).
cnf(refute_0_110,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) )],[refute_0_109,refute_0_94]) ).
cnf(refute_0_111,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_110,refute_0_92]) ).
cnf(refute_0_112,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) ),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_113,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_112:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(H,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_114,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) )],[refute_0_111,refute_0_113]) ).
cnf(refute_0_115,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_114,refute_0_91]) ).
cnf(refute_0_116,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1) )],[refute_0_115,refute_0_90]) ).
cnf(refute_0_117,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)) )],[refute_0_116,refute_0_88]) ).
cnf(refute_0_118,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),X_1485)
| ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_O_2,X_1485,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2))),bind(B,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2))),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(X_1485))]]) ).
cnf(refute_0_119,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),X_1485)
| coll(skolemFOFtoCNF_O_2,X_1485,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_O_2) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
( ~ coll(X_367,X_368,X_368)
| coll(X_368,X_368,X_367) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_367)),bind(B,$fot(X_368)),bind(C,$fot(X_368)),bind(D,$fot(X_368))]]) ).
cnf(refute_0_121,plain,
coll(X_367,X_368,X_368),
inference(subst,[],[refute_0_46:[bind(X_365,$fot(X_367)),bind(X_366,$fot(X_368))]]) ).
cnf(refute_0_122,plain,
coll(X_368,X_368,X_367),
inference(resolve,[$cnf( coll(X_367,X_368,X_368) )],[refute_0_121,refute_0_120]) ).
cnf(refute_0_123,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),X_1485),
inference(subst,[],[refute_0_122:[bind(X_367,$fot(X_1485)),bind(X_368,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_124,plain,
coll(skolemFOFtoCNF_O_2,X_1485,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),X_1485) )],[refute_0_123,refute_0_119]) ).
cnf(refute_0_125,plain,
coll(skolemFOFtoCNF_O_2,X_1608,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)),
inference(subst,[],[refute_0_124:[bind(X_1485,$fot(X_1608))]]) ).
cnf(refute_0_126,plain,
coll(X_1608,skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,X_1608,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)) )],[refute_0_125,refute_0_87]) ).
cnf(refute_0_127,plain,
coll(X_1618,skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)),
inference(subst,[],[refute_0_126:[bind(X_1608,$fot(X_1618))]]) ).
cnf(refute_0_128,plain,
( ~ coll(X_1618,skolemFOFtoCNF_O_2,C)
| coll(C,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),X_1618) ),
inference(resolve,[$cnf( coll(X_1618,skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)) )],[refute_0_127,refute_0_85]) ).
cnf(refute_0_129,plain,
( ~ coll(X_1595,skolemFOFtoCNF_C_1,C)
| ~ coll(X_1595,skolemFOFtoCNF_C_1,X_1596)
| coll(C,X_1596,X_1595) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1595)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1596))]]) ).
cnf(refute_0_130,plain,
( ~ coll(X_1587,skolemFOFtoCNF_E,C)
| ~ coll(X_1587,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,X_1587) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1587)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_131,plain,
( ~ coll(skolemFOFtoCNF_E,X_1586,skolemFOFtoCNF_C_1)
| coll(X_1586,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(X_1586)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_132,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_133,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_134,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1485)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,X_1485,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_1485))]]) ).
cnf(refute_0_136,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1485)
| coll(skolemFOFtoCNF_E,X_1485,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1485),
inference(subst,[],[refute_0_122:[bind(X_367,$fot(X_1485)),bind(X_368,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_138,plain,
coll(skolemFOFtoCNF_E,X_1485,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1485) )],[refute_0_137,refute_0_136]) ).
cnf(refute_0_139,plain,
coll(skolemFOFtoCNF_E,X_1586,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_138:[bind(X_1485,$fot(X_1586))]]) ).
cnf(refute_0_140,plain,
coll(X_1586,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,X_1586,skolemFOFtoCNF_C_1) )],[refute_0_139,refute_0_131]) ).
cnf(refute_0_141,plain,
coll(X_1587,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_140:[bind(X_1586,$fot(X_1587))]]) ).
cnf(refute_0_142,plain,
( ~ coll(X_1587,skolemFOFtoCNF_E,C)
| coll(C,skolemFOFtoCNF_C_1,X_1587) ),
inference(resolve,[$cnf( coll(X_1587,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_141,refute_0_130]) ).
cnf(refute_0_143,plain,
( ~ coll(X_1579,skolemFOFtoCNF_A,C)
| ~ coll(X_1579,skolemFOFtoCNF_A,X_1580)
| coll(C,X_1580,X_1579) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1579)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1580))]]) ).
cnf(refute_0_144,plain,
( ~ coll(X_1573,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1573,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,X_1573) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1573)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_145,plain,
( ~ coll(skolemFOFtoCNF_A,X_1523,C)
| ~ coll(skolemFOFtoCNF_A,X_1523,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1523)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_146,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_147,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_148,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_149,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_150,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_151,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_28,refute_0_150]) ).
cnf(refute_0_152,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_151,refute_0_149]) ).
cnf(refute_0_153,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_152,refute_0_148]) ).
cnf(refute_0_154,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_153,refute_0_147]) ).
cnf(refute_0_155,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) )],[refute_0_154,refute_0_146]) ).
cnf(refute_0_156,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_157,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1485)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_1485,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1485))]]) ).
cnf(refute_0_159,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1485)
| coll(skolemFOFtoCNF_A,X_1485,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1485),
inference(subst,[],[refute_0_122:[bind(X_367,$fot(X_1485)),bind(X_368,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_161,plain,
coll(skolemFOFtoCNF_A,X_1485,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1485) )],[refute_0_160,refute_0_159]) ).
cnf(refute_0_162,plain,
coll(skolemFOFtoCNF_A,X_1523,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_161:[bind(X_1485,$fot(X_1523))]]) ).
cnf(refute_0_163,plain,
( ~ coll(skolemFOFtoCNF_A,X_1523,C)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1523,skolemFOFtoCNF_B_1) )],[refute_0_162,refute_0_145]) ).
cnf(refute_0_164,plain,
coll(X_1483,X_1483,X_1484),
inference(subst,[],[refute_0_122:[bind(X_367,$fot(X_1484)),bind(X_368,$fot(X_1483))]]) ).
cnf(refute_0_165,plain,
( ~ coll(X_1483,X_1483,X_1484)
| ~ coll(X_1483,X_1483,X_1485)
| coll(X_1484,X_1485,X_1483) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1483)),bind(B,$fot(X_1483)),bind(C,$fot(X_1484)),bind(D,$fot(X_1485))]]) ).
cnf(refute_0_166,plain,
( ~ coll(X_1483,X_1483,X_1485)
| coll(X_1484,X_1485,X_1483) ),
inference(resolve,[$cnf( coll(X_1483,X_1483,X_1484) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
coll(X_1483,X_1483,X_1485),
inference(subst,[],[refute_0_122:[bind(X_367,$fot(X_1485)),bind(X_368,$fot(X_1483))]]) ).
cnf(refute_0_168,plain,
coll(X_1484,X_1485,X_1483),
inference(resolve,[$cnf( coll(X_1483,X_1483,X_1485) )],[refute_0_167,refute_0_166]) ).
cnf(refute_0_169,plain,
coll(skolemFOFtoCNF_A,X_1523,C),
inference(subst,[],[refute_0_168:[bind(X_1483,$fot(C)),bind(X_1484,$fot(skolemFOFtoCNF_A)),bind(X_1485,$fot(X_1523))]]) ).
cnf(refute_0_170,plain,
coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1523,C) )],[refute_0_169,refute_0_163]) ).
cnf(refute_0_171,plain,
coll(X_1573,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_170:[bind(C,$fot(X_1573))]]) ).
cnf(refute_0_172,plain,
( ~ coll(X_1573,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_A,X_1573) ),
inference(resolve,[$cnf( coll(X_1573,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_171,refute_0_144]) ).
cnf(refute_0_173,plain,
( ~ coll(X_1565,skolemFOFtoCNF_P_8,C)
| ~ coll(X_1565,skolemFOFtoCNF_P_8,X_1566)
| coll(C,X_1566,X_1565) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1565)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(X_1566))]]) ).
cnf(refute_0_174,plain,
( ~ coll(X_1564,skolemFOFtoCNF_F,C)
| ~ coll(X_1564,skolemFOFtoCNF_F,skolemFOFtoCNF_P_8)
| coll(C,skolemFOFtoCNF_P_8,X_1564) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1564)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_175,plain,
( ~ coll(skolemFOFtoCNF_P_8,X_1535,C)
| ~ coll(skolemFOFtoCNF_P_8,X_1535,skolemFOFtoCNF_F)
| coll(C,skolemFOFtoCNF_F,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(X_1535)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_176,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_177,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_178,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_8),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_179,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_180,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_8) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_P_8) )],[refute_0_180,refute_0_177]) ).
cnf(refute_0_182,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_F) )],[refute_0_181,refute_0_176]) ).
cnf(refute_0_183,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_184,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_1485)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_P_8,X_1485,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(X_1485))]]) ).
cnf(refute_0_186,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_1485)
| coll(skolemFOFtoCNF_P_8,X_1485,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_P_8) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_1485),
inference(subst,[],[refute_0_122:[bind(X_367,$fot(X_1485)),bind(X_368,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_188,plain,
coll(skolemFOFtoCNF_P_8,X_1485,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_1485) )],[refute_0_187,refute_0_186]) ).
cnf(refute_0_189,plain,
coll(skolemFOFtoCNF_P_8,X_1535,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_188:[bind(X_1485,$fot(X_1535))]]) ).
cnf(refute_0_190,plain,
( ~ coll(skolemFOFtoCNF_P_8,X_1535,C)
| coll(C,skolemFOFtoCNF_F,skolemFOFtoCNF_P_8) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,X_1535,skolemFOFtoCNF_F) )],[refute_0_189,refute_0_175]) ).
cnf(refute_0_191,plain,
coll(skolemFOFtoCNF_P_8,X_1535,C),
inference(subst,[],[refute_0_168:[bind(X_1483,$fot(C)),bind(X_1484,$fot(skolemFOFtoCNF_P_8)),bind(X_1485,$fot(X_1535))]]) ).
cnf(refute_0_192,plain,
coll(C,skolemFOFtoCNF_F,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,X_1535,C) )],[refute_0_191,refute_0_190]) ).
cnf(refute_0_193,plain,
coll(X_1564,skolemFOFtoCNF_F,skolemFOFtoCNF_P_8),
inference(subst,[],[refute_0_192:[bind(C,$fot(X_1564))]]) ).
cnf(refute_0_194,plain,
( ~ coll(X_1564,skolemFOFtoCNF_F,C)
| coll(C,skolemFOFtoCNF_P_8,X_1564) ),
inference(resolve,[$cnf( coll(X_1564,skolemFOFtoCNF_F,skolemFOFtoCNF_P_8) )],[refute_0_193,refute_0_174]) ).
cnf(refute_0_195,plain,
coll(X_1564,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_168:[bind(X_1483,$fot(C)),bind(X_1484,$fot(X_1564)),bind(X_1485,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_196,plain,
coll(C,skolemFOFtoCNF_P_8,X_1564),
inference(resolve,[$cnf( coll(X_1564,skolemFOFtoCNF_F,C) )],[refute_0_195,refute_0_194]) ).
cnf(refute_0_197,plain,
coll(X_1565,skolemFOFtoCNF_P_8,X_1566),
inference(subst,[],[refute_0_196:[bind(C,$fot(X_1565)),bind(X_1564,$fot(X_1566))]]) ).
cnf(refute_0_198,plain,
( ~ coll(X_1565,skolemFOFtoCNF_P_8,C)
| coll(C,X_1566,X_1565) ),
inference(resolve,[$cnf( coll(X_1565,skolemFOFtoCNF_P_8,X_1566) )],[refute_0_197,refute_0_173]) ).
cnf(refute_0_199,plain,
coll(X_1565,skolemFOFtoCNF_P_8,C),
inference(subst,[],[refute_0_168:[bind(X_1483,$fot(C)),bind(X_1484,$fot(X_1565)),bind(X_1485,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_200,plain,
coll(C,X_1566,X_1565),
inference(resolve,[$cnf( coll(X_1565,skolemFOFtoCNF_P_8,C) )],[refute_0_199,refute_0_198]) ).
cnf(refute_0_201,plain,
coll(X_1573,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_200:[bind(C,$fot(X_1573)),bind(X_1565,$fot(C)),bind(X_1566,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_202,plain,
coll(C,skolemFOFtoCNF_A,X_1573),
inference(resolve,[$cnf( coll(X_1573,skolemFOFtoCNF_B_1,C) )],[refute_0_201,refute_0_172]) ).
cnf(refute_0_203,plain,
coll(X_1579,skolemFOFtoCNF_A,X_1580),
inference(subst,[],[refute_0_202:[bind(C,$fot(X_1579)),bind(X_1573,$fot(X_1580))]]) ).
cnf(refute_0_204,plain,
( ~ coll(X_1579,skolemFOFtoCNF_A,C)
| coll(C,X_1580,X_1579) ),
inference(resolve,[$cnf( coll(X_1579,skolemFOFtoCNF_A,X_1580) )],[refute_0_203,refute_0_143]) ).
cnf(refute_0_205,plain,
( ~ coll(X_1577,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1577,skolemFOFtoCNF_B_1,X_1578)
| coll(C,X_1578,X_1577) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1577)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1578))]]) ).
cnf(refute_0_206,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_1555,X_1556)
| coll(X_1555,skolemFOFtoCNF_B_1,X_1556) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1555)),bind(C,$fot(X_1556))]]) ).
cnf(refute_0_207,plain,
( ~ coll(X_1519,skolemFOFtoCNF_O_2,D)
| ~ coll(X_1519,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,D,X_1519) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1519)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_208,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_1509,C)
| ~ coll(skolemFOFtoCNF_B_1,X_1509,skolemFOFtoCNF_O_2)
| coll(C,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1509)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_209,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_210,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_153,refute_0_209]) ).
cnf(refute_0_211,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1485)
| ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_1485,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1485))]]) ).
cnf(refute_0_212,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1485)
| coll(skolemFOFtoCNF_B_1,X_1485,skolemFOFtoCNF_O_2) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1485),
inference(subst,[],[refute_0_122:[bind(X_367,$fot(X_1485)),bind(X_368,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_214,plain,
coll(skolemFOFtoCNF_B_1,X_1485,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1485) )],[refute_0_213,refute_0_212]) ).
cnf(refute_0_215,plain,
coll(skolemFOFtoCNF_B_1,X_1509,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_214:[bind(X_1485,$fot(X_1509))]]) ).
cnf(refute_0_216,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_1509,C)
| coll(C,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1509,skolemFOFtoCNF_O_2) )],[refute_0_215,refute_0_208]) ).
cnf(refute_0_217,plain,
coll(skolemFOFtoCNF_B_1,X_1509,C),
inference(subst,[],[refute_0_168:[bind(X_1483,$fot(C)),bind(X_1484,$fot(skolemFOFtoCNF_B_1)),bind(X_1485,$fot(X_1509))]]) ).
cnf(refute_0_218,plain,
coll(C,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1509,C) )],[refute_0_217,refute_0_216]) ).
cnf(refute_0_219,plain,
coll(X_1519,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_218:[bind(C,$fot(X_1519))]]) ).
cnf(refute_0_220,plain,
( ~ coll(X_1519,skolemFOFtoCNF_O_2,D)
| coll(skolemFOFtoCNF_B_1,D,X_1519) ),
inference(resolve,[$cnf( coll(X_1519,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_219,refute_0_207]) ).
cnf(refute_0_221,plain,
coll(X_1519,skolemFOFtoCNF_O_2,D),
inference(subst,[],[refute_0_168:[bind(X_1483,$fot(D)),bind(X_1484,$fot(X_1519)),bind(X_1485,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_222,plain,
coll(skolemFOFtoCNF_B_1,D,X_1519),
inference(resolve,[$cnf( coll(X_1519,skolemFOFtoCNF_O_2,D) )],[refute_0_221,refute_0_220]) ).
cnf(refute_0_223,plain,
coll(skolemFOFtoCNF_B_1,X_1555,X_1556),
inference(subst,[],[refute_0_222:[bind(D,$fot(X_1555)),bind(X_1519,$fot(X_1556))]]) ).
cnf(refute_0_224,plain,
coll(X_1555,skolemFOFtoCNF_B_1,X_1556),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1555,X_1556) )],[refute_0_223,refute_0_206]) ).
cnf(refute_0_225,plain,
coll(X_1577,skolemFOFtoCNF_B_1,X_1578),
inference(subst,[],[refute_0_224:[bind(X_1555,$fot(X_1577)),bind(X_1556,$fot(X_1578))]]) ).
cnf(refute_0_226,plain,
( ~ coll(X_1577,skolemFOFtoCNF_B_1,C)
| coll(C,X_1578,X_1577) ),
inference(resolve,[$cnf( coll(X_1577,skolemFOFtoCNF_B_1,X_1578) )],[refute_0_225,refute_0_205]) ).
cnf(refute_0_227,plain,
coll(X_1577,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_200:[bind(C,$fot(X_1577)),bind(X_1565,$fot(C)),bind(X_1566,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_228,plain,
coll(C,X_1578,X_1577),
inference(resolve,[$cnf( coll(X_1577,skolemFOFtoCNF_B_1,C) )],[refute_0_227,refute_0_226]) ).
cnf(refute_0_229,plain,
coll(X_1579,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_228:[bind(C,$fot(X_1579)),bind(X_1577,$fot(C)),bind(X_1578,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_230,plain,
coll(C,X_1580,X_1579),
inference(resolve,[$cnf( coll(X_1579,skolemFOFtoCNF_A,C) )],[refute_0_229,refute_0_204]) ).
cnf(refute_0_231,plain,
coll(X_1587,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_230:[bind(C,$fot(X_1587)),bind(X_1579,$fot(C)),bind(X_1580,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_232,plain,
coll(C,skolemFOFtoCNF_C_1,X_1587),
inference(resolve,[$cnf( coll(X_1587,skolemFOFtoCNF_E,C) )],[refute_0_231,refute_0_142]) ).
cnf(refute_0_233,plain,
coll(X_1595,skolemFOFtoCNF_C_1,X_1596),
inference(subst,[],[refute_0_232:[bind(C,$fot(X_1595)),bind(X_1587,$fot(X_1596))]]) ).
cnf(refute_0_234,plain,
( ~ coll(X_1595,skolemFOFtoCNF_C_1,C)
| coll(C,X_1596,X_1595) ),
inference(resolve,[$cnf( coll(X_1595,skolemFOFtoCNF_C_1,X_1596) )],[refute_0_233,refute_0_129]) ).
cnf(refute_0_235,plain,
( ~ coll(X_1593,skolemFOFtoCNF_G,C)
| ~ coll(X_1593,skolemFOFtoCNF_G,X_1594)
| coll(C,X_1594,X_1593) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1593)),bind(B,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_1594))]]) ).
cnf(refute_0_236,plain,
( ~ coll(X_1538,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1538,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G)
| coll(C,skolemFOFtoCNF_G,X_1538) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1538)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_237,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_1487,skolemFOFtoCNF_G)
| coll(X_1487,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1487)),bind(C,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_238,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_239,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_240,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_241,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_P_8) )],[refute_0_241,refute_0_238]) ).
cnf(refute_0_243,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_244,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_G) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1485)
| ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_1485,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1485))]]) ).
cnf(refute_0_246,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1485)
| coll(skolemFOFtoCNF_B_1,X_1485,skolemFOFtoCNF_G) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1485),
inference(subst,[],[refute_0_122:[bind(X_367,$fot(X_1485)),bind(X_368,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_248,plain,
coll(skolemFOFtoCNF_B_1,X_1485,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1485) )],[refute_0_247,refute_0_246]) ).
cnf(refute_0_249,plain,
coll(skolemFOFtoCNF_B_1,X_1487,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_248:[bind(X_1485,$fot(X_1487))]]) ).
cnf(refute_0_250,plain,
coll(X_1487,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1487,skolemFOFtoCNF_G) )],[refute_0_249,refute_0_237]) ).
cnf(refute_0_251,plain,
coll(X_1538,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_250:[bind(X_1487,$fot(X_1538))]]) ).
cnf(refute_0_252,plain,
( ~ coll(X_1538,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_G,X_1538) ),
inference(resolve,[$cnf( coll(X_1538,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G) )],[refute_0_251,refute_0_236]) ).
cnf(refute_0_253,plain,
coll(X_1538,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_168:[bind(X_1483,$fot(C)),bind(X_1484,$fot(X_1538)),bind(X_1485,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_254,plain,
coll(C,skolemFOFtoCNF_G,X_1538),
inference(resolve,[$cnf( coll(X_1538,skolemFOFtoCNF_B_1,C) )],[refute_0_253,refute_0_252]) ).
cnf(refute_0_255,plain,
coll(X_1593,skolemFOFtoCNF_G,X_1594),
inference(subst,[],[refute_0_254:[bind(C,$fot(X_1593)),bind(X_1538,$fot(X_1594))]]) ).
cnf(refute_0_256,plain,
( ~ coll(X_1593,skolemFOFtoCNF_G,C)
| coll(C,X_1594,X_1593) ),
inference(resolve,[$cnf( coll(X_1593,skolemFOFtoCNF_G,X_1594) )],[refute_0_255,refute_0_235]) ).
cnf(refute_0_257,plain,
coll(X_1593,skolemFOFtoCNF_G,C),
inference(subst,[],[refute_0_230:[bind(C,$fot(X_1593)),bind(X_1579,$fot(C)),bind(X_1580,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_258,plain,
coll(C,X_1594,X_1593),
inference(resolve,[$cnf( coll(X_1593,skolemFOFtoCNF_G,C) )],[refute_0_257,refute_0_256]) ).
cnf(refute_0_259,plain,
coll(X_1595,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_258:[bind(C,$fot(X_1595)),bind(X_1593,$fot(C)),bind(X_1594,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_260,plain,
coll(C,X_1596,X_1595),
inference(resolve,[$cnf( coll(X_1595,skolemFOFtoCNF_C_1,C) )],[refute_0_259,refute_0_234]) ).
cnf(refute_0_261,plain,
coll(X_1618,skolemFOFtoCNF_O_2,C),
inference(subst,[],[refute_0_260:[bind(C,$fot(X_1618)),bind(X_1595,$fot(C)),bind(X_1596,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_262,plain,
coll(C,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),X_1618),
inference(resolve,[$cnf( coll(X_1618,skolemFOFtoCNF_O_2,C) )],[refute_0_261,refute_0_128]) ).
cnf(refute_0_263,plain,
coll(X_1664,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),X_1665),
inference(subst,[],[refute_0_262:[bind(C,$fot(X_1664)),bind(X_1618,$fot(X_1665))]]) ).
cnf(refute_0_264,plain,
( ~ coll(X_1664,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),C)
| coll(C,X_1665,X_1664) ),
inference(resolve,[$cnf( coll(X_1664,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),X_1665) )],[refute_0_263,refute_0_84]) ).
cnf(refute_0_265,plain,
( ~ coll(X_1641,skolemFOFtoCNF_O_2,C)
| ~ coll(X_1641,skolemFOFtoCNF_O_2,X_1642)
| coll(C,X_1642,X_1641) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1641)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(X_1642))]]) ).
cnf(refute_0_266,plain,
( ~ coll(X_1537,skolemFOFtoCNF_A,C)
| ~ coll(X_1537,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
| coll(C,skolemFOFtoCNF_O_2,X_1537) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1537)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_267,plain,
( ~ coll(skolemFOFtoCNF_A,X_1536,skolemFOFtoCNF_O_2)
| coll(X_1536,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1536)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_268,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_269,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) )],[refute_0_154,refute_0_268]) ).
cnf(refute_0_270,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1485)
| ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_1485,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1485))]]) ).
cnf(refute_0_271,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1485)
| coll(skolemFOFtoCNF_A,X_1485,skolemFOFtoCNF_O_2) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
coll(skolemFOFtoCNF_A,X_1485,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1485) )],[refute_0_213,refute_0_271]) ).
cnf(refute_0_273,plain,
coll(skolemFOFtoCNF_A,X_1536,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_272:[bind(X_1485,$fot(X_1536))]]) ).
cnf(refute_0_274,plain,
coll(X_1536,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1536,skolemFOFtoCNF_O_2) )],[refute_0_273,refute_0_267]) ).
cnf(refute_0_275,plain,
coll(X_1537,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_274:[bind(X_1536,$fot(X_1537))]]) ).
cnf(refute_0_276,plain,
( ~ coll(X_1537,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_O_2,X_1537) ),
inference(resolve,[$cnf( coll(X_1537,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_275,refute_0_266]) ).
cnf(refute_0_277,plain,
coll(X_1537,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_168:[bind(X_1483,$fot(C)),bind(X_1484,$fot(X_1537)),bind(X_1485,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_278,plain,
coll(C,skolemFOFtoCNF_O_2,X_1537),
inference(resolve,[$cnf( coll(X_1537,skolemFOFtoCNF_A,C) )],[refute_0_277,refute_0_276]) ).
cnf(refute_0_279,plain,
coll(X_1641,skolemFOFtoCNF_O_2,X_1642),
inference(subst,[],[refute_0_278:[bind(C,$fot(X_1641)),bind(X_1537,$fot(X_1642))]]) ).
cnf(refute_0_280,plain,
( ~ coll(X_1641,skolemFOFtoCNF_O_2,C)
| coll(C,X_1642,X_1641) ),
inference(resolve,[$cnf( coll(X_1641,skolemFOFtoCNF_O_2,X_1642) )],[refute_0_279,refute_0_265]) ).
cnf(refute_0_281,plain,
( ~ coll(X_1637,skolemFOFtoCNF_E,C)
| ~ coll(X_1637,skolemFOFtoCNF_E,X_1638)
| coll(C,X_1638,X_1637) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1637)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_1638))]]) ).
cnf(refute_0_282,plain,
( ~ coll(X_1496,skolemFOFtoCNF_P_8,C)
| ~ coll(X_1496,skolemFOFtoCNF_P_8,skolemFOFtoCNF_E)
| coll(C,skolemFOFtoCNF_E,X_1496) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1496)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_283,plain,
( ~ coll(skolemFOFtoCNF_P_8,X_1495,skolemFOFtoCNF_E)
| coll(X_1495,skolemFOFtoCNF_P_8,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(X_1495)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_284,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_285,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_286,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_287,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_289,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) )],[refute_0_289,refute_0_284]) ).
cnf(refute_0_291,plain,
( ~ coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_292,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1485)
| ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8)
| coll(skolemFOFtoCNF_P_8,X_1485,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_P_8)),bind(D,$fot(X_1485))]]) ).
cnf(refute_0_294,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1485)
| coll(skolemFOFtoCNF_P_8,X_1485,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_P_8) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1485),
inference(subst,[],[refute_0_122:[bind(X_367,$fot(X_1485)),bind(X_368,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_296,plain,
coll(skolemFOFtoCNF_P_8,X_1485,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1485) )],[refute_0_295,refute_0_294]) ).
cnf(refute_0_297,plain,
coll(skolemFOFtoCNF_P_8,X_1495,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_296:[bind(X_1485,$fot(X_1495))]]) ).
cnf(refute_0_298,plain,
coll(X_1495,skolemFOFtoCNF_P_8,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_8,X_1495,skolemFOFtoCNF_E) )],[refute_0_297,refute_0_283]) ).
cnf(refute_0_299,plain,
coll(X_1496,skolemFOFtoCNF_P_8,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_298:[bind(X_1495,$fot(X_1496))]]) ).
cnf(refute_0_300,plain,
( ~ coll(X_1496,skolemFOFtoCNF_P_8,C)
| coll(C,skolemFOFtoCNF_E,X_1496) ),
inference(resolve,[$cnf( coll(X_1496,skolemFOFtoCNF_P_8,skolemFOFtoCNF_E) )],[refute_0_299,refute_0_282]) ).
cnf(refute_0_301,plain,
coll(X_1496,skolemFOFtoCNF_P_8,C),
inference(subst,[],[refute_0_168:[bind(X_1483,$fot(C)),bind(X_1484,$fot(X_1496)),bind(X_1485,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_302,plain,
coll(C,skolemFOFtoCNF_E,X_1496),
inference(resolve,[$cnf( coll(X_1496,skolemFOFtoCNF_P_8,C) )],[refute_0_301,refute_0_300]) ).
cnf(refute_0_303,plain,
coll(X_1637,skolemFOFtoCNF_E,X_1638),
inference(subst,[],[refute_0_302:[bind(C,$fot(X_1637)),bind(X_1496,$fot(X_1638))]]) ).
cnf(refute_0_304,plain,
( ~ coll(X_1637,skolemFOFtoCNF_E,C)
| coll(C,X_1638,X_1637) ),
inference(resolve,[$cnf( coll(X_1637,skolemFOFtoCNF_E,X_1638) )],[refute_0_303,refute_0_281]) ).
cnf(refute_0_305,plain,
( ~ coll(X_1630,skolemFOFtoCNF_F,C)
| ~ coll(X_1630,skolemFOFtoCNF_F,X_1631)
| coll(C,X_1631,X_1630) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1630)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_1631))]]) ).
cnf(refute_0_306,plain,
( ~ coll(X_1531,skolemFOFtoCNF_D,C)
| ~ coll(X_1531,skolemFOFtoCNF_D,skolemFOFtoCNF_F)
| coll(C,skolemFOFtoCNF_F,X_1531) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1531)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_307,plain,
( ~ coll(skolemFOFtoCNF_F,X_1530,C)
| ~ coll(skolemFOFtoCNF_F,X_1530,skolemFOFtoCNF_D)
| coll(C,skolemFOFtoCNF_D,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(X_1530)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_308,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_309,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_310,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_1485)
| ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,X_1485,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_1485))]]) ).
cnf(refute_0_312,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_1485)
| coll(skolemFOFtoCNF_F,X_1485,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_1485),
inference(subst,[],[refute_0_122:[bind(X_367,$fot(X_1485)),bind(X_368,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_314,plain,
coll(skolemFOFtoCNF_F,X_1485,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_1485) )],[refute_0_313,refute_0_312]) ).
cnf(refute_0_315,plain,
coll(skolemFOFtoCNF_F,X_1530,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_314:[bind(X_1485,$fot(X_1530))]]) ).
cnf(refute_0_316,plain,
( ~ coll(skolemFOFtoCNF_F,X_1530,C)
| coll(C,skolemFOFtoCNF_D,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,X_1530,skolemFOFtoCNF_D) )],[refute_0_315,refute_0_307]) ).
cnf(refute_0_317,plain,
coll(skolemFOFtoCNF_F,X_1530,C),
inference(subst,[],[refute_0_168:[bind(X_1483,$fot(C)),bind(X_1484,$fot(skolemFOFtoCNF_F)),bind(X_1485,$fot(X_1530))]]) ).
cnf(refute_0_318,plain,
coll(C,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,X_1530,C) )],[refute_0_317,refute_0_316]) ).
cnf(refute_0_319,plain,
coll(X_1531,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_318:[bind(C,$fot(X_1531))]]) ).
cnf(refute_0_320,plain,
( ~ coll(X_1531,skolemFOFtoCNF_D,C)
| coll(C,skolemFOFtoCNF_F,X_1531) ),
inference(resolve,[$cnf( coll(X_1531,skolemFOFtoCNF_D,skolemFOFtoCNF_F) )],[refute_0_319,refute_0_306]) ).
cnf(refute_0_321,plain,
coll(X_1531,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_168:[bind(X_1483,$fot(C)),bind(X_1484,$fot(X_1531)),bind(X_1485,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_322,plain,
coll(C,skolemFOFtoCNF_F,X_1531),
inference(resolve,[$cnf( coll(X_1531,skolemFOFtoCNF_D,C) )],[refute_0_321,refute_0_320]) ).
cnf(refute_0_323,plain,
coll(X_1630,skolemFOFtoCNF_F,X_1631),
inference(subst,[],[refute_0_322:[bind(C,$fot(X_1630)),bind(X_1531,$fot(X_1631))]]) ).
cnf(refute_0_324,plain,
( ~ coll(X_1630,skolemFOFtoCNF_F,C)
| coll(C,X_1631,X_1630) ),
inference(resolve,[$cnf( coll(X_1630,skolemFOFtoCNF_F,X_1631) )],[refute_0_323,refute_0_305]) ).
cnf(refute_0_325,plain,
( ~ coll(X_1626,skolemFOFtoCNF_D,C)
| ~ coll(X_1626,skolemFOFtoCNF_D,X_1627)
| coll(C,X_1627,X_1626) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1626)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_1627))]]) ).
cnf(refute_0_326,plain,
( ~ coll(X_1500,skolemFOFtoCNF_G,C)
| ~ coll(X_1500,skolemFOFtoCNF_G,skolemFOFtoCNF_D)
| coll(C,skolemFOFtoCNF_D,X_1500) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1500)),bind(B,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_327,plain,
( ~ coll(skolemFOFtoCNF_D,X_1497,C)
| ~ coll(skolemFOFtoCNF_D,X_1497,skolemFOFtoCNF_G)
| coll(C,skolemFOFtoCNF_G,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_1497)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_328,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_329,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_330,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_89:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_331,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_333,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_A) )],[refute_0_333,refute_0_328]) ).
cnf(refute_0_335,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_336,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_G) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1485)
| ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,X_1485,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_1485))]]) ).
cnf(refute_0_338,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1485)
| coll(skolemFOFtoCNF_D,X_1485,skolemFOFtoCNF_G) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_D) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
coll(skolemFOFtoCNF_D,X_1485,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1485) )],[refute_0_247,refute_0_338]) ).
cnf(refute_0_340,plain,
coll(skolemFOFtoCNF_D,X_1497,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_339:[bind(X_1485,$fot(X_1497))]]) ).
cnf(refute_0_341,plain,
( ~ coll(skolemFOFtoCNF_D,X_1497,C)
| coll(C,skolemFOFtoCNF_G,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_1497,skolemFOFtoCNF_G) )],[refute_0_340,refute_0_327]) ).
cnf(refute_0_342,plain,
coll(skolemFOFtoCNF_D,X_1497,C),
inference(subst,[],[refute_0_168:[bind(X_1483,$fot(C)),bind(X_1484,$fot(skolemFOFtoCNF_D)),bind(X_1485,$fot(X_1497))]]) ).
cnf(refute_0_343,plain,
coll(C,skolemFOFtoCNF_G,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_1497,C) )],[refute_0_342,refute_0_341]) ).
cnf(refute_0_344,plain,
coll(X_1500,skolemFOFtoCNF_G,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_343:[bind(C,$fot(X_1500))]]) ).
cnf(refute_0_345,plain,
( ~ coll(X_1500,skolemFOFtoCNF_G,C)
| coll(C,skolemFOFtoCNF_D,X_1500) ),
inference(resolve,[$cnf( coll(X_1500,skolemFOFtoCNF_G,skolemFOFtoCNF_D) )],[refute_0_344,refute_0_326]) ).
cnf(refute_0_346,plain,
coll(X_1500,skolemFOFtoCNF_G,C),
inference(subst,[],[refute_0_168:[bind(X_1483,$fot(C)),bind(X_1484,$fot(X_1500)),bind(X_1485,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_347,plain,
coll(C,skolemFOFtoCNF_D,X_1500),
inference(resolve,[$cnf( coll(X_1500,skolemFOFtoCNF_G,C) )],[refute_0_346,refute_0_345]) ).
cnf(refute_0_348,plain,
coll(X_1626,skolemFOFtoCNF_D,X_1627),
inference(subst,[],[refute_0_347:[bind(C,$fot(X_1626)),bind(X_1500,$fot(X_1627))]]) ).
cnf(refute_0_349,plain,
( ~ coll(X_1626,skolemFOFtoCNF_D,C)
| coll(C,X_1627,X_1626) ),
inference(resolve,[$cnf( coll(X_1626,skolemFOFtoCNF_D,X_1627) )],[refute_0_348,refute_0_325]) ).
cnf(refute_0_350,plain,
coll(X_1626,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_260:[bind(C,$fot(X_1626)),bind(X_1595,$fot(C)),bind(X_1596,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_351,plain,
coll(C,X_1627,X_1626),
inference(resolve,[$cnf( coll(X_1626,skolemFOFtoCNF_D,C) )],[refute_0_350,refute_0_349]) ).
cnf(refute_0_352,plain,
coll(X_1630,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_351:[bind(C,$fot(X_1630)),bind(X_1626,$fot(C)),bind(X_1627,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_353,plain,
coll(C,X_1631,X_1630),
inference(resolve,[$cnf( coll(X_1630,skolemFOFtoCNF_F,C) )],[refute_0_352,refute_0_324]) ).
cnf(refute_0_354,plain,
coll(X_1637,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_353:[bind(C,$fot(X_1637)),bind(X_1630,$fot(C)),bind(X_1631,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_355,plain,
coll(C,X_1638,X_1637),
inference(resolve,[$cnf( coll(X_1637,skolemFOFtoCNF_E,C) )],[refute_0_354,refute_0_304]) ).
cnf(refute_0_356,plain,
coll(X_1641,skolemFOFtoCNF_O_2,C),
inference(subst,[],[refute_0_355:[bind(C,$fot(X_1641)),bind(X_1637,$fot(C)),bind(X_1638,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_357,plain,
coll(C,X_1642,X_1641),
inference(resolve,[$cnf( coll(X_1641,skolemFOFtoCNF_O_2,C) )],[refute_0_356,refute_0_280]) ).
cnf(refute_0_358,plain,
coll(X_1664,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),C),
inference(subst,[],[refute_0_357:[bind(C,$fot(X_1664)),bind(X_1641,$fot(C)),bind(X_1642,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_359,plain,
coll(C,X_1665,X_1664),
inference(resolve,[$cnf( coll(X_1664,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),C) )],[refute_0_358,refute_0_264]) ).
cnf(refute_0_360,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_359:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_1664,$fot(skolemFOFtoCNF_O_2)),bind(X_1665,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_361,plain,
midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2) )],[refute_0_360,refute_0_82]) ).
cnf(refute_0_362,plain,
midp(skolemFOFtoCNF_B_1,X_2397,X_2397),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2) )],[refute_0_361,refute_0_54]) ).
cnf(refute_0_363,plain,
midp(skolemFOFtoCNF_B_1,X_2451,X_2451),
inference(subst,[],[refute_0_362:[bind(X_2397,$fot(X_2451))]]) ).
cnf(refute_0_364,plain,
midp(skolemFOFtoCNF_P_1(X_2451,Q),X_2451,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_2451,X_2451) )],[refute_0_363,refute_0_49]) ).
cnf(refute_0_365,plain,
midp(skolemFOFtoCNF_P_1(X_2480,X_2479),X_2480,X_2479),
inference(subst,[],[refute_0_364:[bind(Q,$fot(X_2479)),bind(X_2451,$fot(X_2480))]]) ).
cnf(refute_0_366,plain,
cong(skolemFOFtoCNF_P_1(X_2480,X_2479),X_2480,skolemFOFtoCNF_P_1(X_2480,X_2479),X_2479),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_2480,X_2479),X_2480,X_2479) )],[refute_0_365,refute_0_17]) ).
cnf(refute_0_367,plain,
cong(skolemFOFtoCNF_P_1(X_9150,X_9149),X_9150,skolemFOFtoCNF_P_1(X_9150,X_9149),X_9149),
inference(subst,[],[refute_0_366:[bind(X_2479,$fot(X_9149)),bind(X_2480,$fot(X_9150))]]) ).
cnf(refute_0_368,plain,
cyclic(X_9150,X_9149,X_9149,X_9149),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_9150,X_9149),X_9150,skolemFOFtoCNF_P_1(X_9150,X_9149),X_9149) )],[refute_0_367,refute_0_15]) ).
cnf(refute_0_369,plain,
cyclic(X_9152,X_9151,X_9151,X_9151),
inference(subst,[],[refute_0_368:[bind(X_9149,$fot(X_9151)),bind(X_9150,$fot(X_9152))]]) ).
cnf(refute_0_370,plain,
cyclic(X_9151,X_9152,X_9151,X_9151),
inference(resolve,[$cnf( cyclic(X_9152,X_9151,X_9151,X_9151) )],[refute_0_369,refute_0_13]) ).
cnf(refute_0_371,plain,
cyclic(X_9153,X_9154,X_9153,X_9153),
inference(subst,[],[refute_0_370:[bind(X_9151,$fot(X_9153)),bind(X_9152,$fot(X_9154))]]) ).
cnf(refute_0_372,plain,
cyclic(X_9153,X_9153,X_9154,X_9153),
inference(resolve,[$cnf( cyclic(X_9153,X_9154,X_9153,X_9153) )],[refute_0_371,refute_0_11]) ).
cnf(refute_0_373,plain,
cyclic(X_9155,X_9155,X_9156,X_9155),
inference(subst,[],[refute_0_372:[bind(X_9153,$fot(X_9155)),bind(X_9154,$fot(X_9156))]]) ).
cnf(refute_0_374,plain,
cyclic(X_9155,X_9155,X_9155,X_9156),
inference(resolve,[$cnf( cyclic(X_9155,X_9155,X_9156,X_9155) )],[refute_0_373,refute_0_9]) ).
cnf(refute_0_375,plain,
cyclic(X_9157,X_9157,X_9157,X_9158),
inference(subst,[],[refute_0_374:[bind(X_9155,$fot(X_9157)),bind(X_9156,$fot(X_9158))]]) ).
cnf(refute_0_376,plain,
cyclic(X_9157,X_9157,X_9158,X_9158),
inference(resolve,[$cnf( cyclic(X_9157,X_9157,X_9157,X_9158) )],[refute_0_375,refute_0_7]) ).
cnf(refute_0_377,plain,
cyclic(X_9159,X_9159,X_9160,X_9160),
inference(subst,[],[refute_0_376:[bind(X_9157,$fot(X_9159)),bind(X_9158,$fot(X_9160))]]) ).
cnf(refute_0_378,plain,
( ~ cong(X_9159,X_9160,X_9159,X_9160)
| perp(X_9160,X_9159,X_9159,X_9160) ),
inference(resolve,[$cnf( cyclic(X_9159,X_9159,X_9160,X_9160) )],[refute_0_377,refute_0_5]) ).
cnf(refute_0_379,plain,
( ~ midp(X_2634,X_2633,X_2633)
| cong(X_2634,X_2633,X_2634,X_2633) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_2634)),bind(B,$fot(X_2633)),bind(C,$fot(X_2633))]]) ).
cnf(refute_0_380,plain,
( ~ midp(X_2467,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_2467,X_2397,X_2397) ),
inference(subst,[],[refute_0_53:[bind(X_2396,$fot(skolemFOFtoCNF_B_1)),bind(X_2398,$fot(X_2467))]]) ).
cnf(refute_0_381,plain,
( ~ coll(X_2466,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(X_2466,skolemFOFtoCNF_B_1,X_2466,skolemFOFtoCNF_B_1)
| midp(X_2466,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_55:[bind(A,$fot(X_2466)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_382,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_74]) ).
cnf(refute_0_383,plain,
( ~ cong(X_2463,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2463)
| cong(X_2463,skolemFOFtoCNF_B_1,X_2463,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_382:[bind(A,$fot(X_2463)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_2463))]]) ).
cnf(refute_0_384,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_76]) ).
cnf(refute_0_385,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_2459,X_2459,skolemFOFtoCNF_B_1)
| cong(X_2459,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2459) ),
inference(subst,[],[refute_0_384:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2459)),bind(C,$fot(X_2459)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_386,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_2455,skolemFOFtoCNF_B_1,X_2455)
| cong(skolemFOFtoCNF_B_1,X_2455,X_2455,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_382:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2455)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_2455))]]) ).
cnf(refute_0_387,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_2451,X_2451)
| cong(skolemFOFtoCNF_B_1,X_2451,skolemFOFtoCNF_B_1,X_2451) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2451)),bind(C,$fot(X_2451))]]) ).
cnf(refute_0_388,plain,
cong(skolemFOFtoCNF_B_1,X_2451,skolemFOFtoCNF_B_1,X_2451),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_2451,X_2451) )],[refute_0_363,refute_0_387]) ).
cnf(refute_0_389,plain,
cong(skolemFOFtoCNF_B_1,X_2455,skolemFOFtoCNF_B_1,X_2455),
inference(subst,[],[refute_0_388:[bind(X_2451,$fot(X_2455))]]) ).
cnf(refute_0_390,plain,
cong(skolemFOFtoCNF_B_1,X_2455,X_2455,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_2455,skolemFOFtoCNF_B_1,X_2455) )],[refute_0_389,refute_0_386]) ).
cnf(refute_0_391,plain,
cong(skolemFOFtoCNF_B_1,X_2459,X_2459,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_390:[bind(X_2455,$fot(X_2459))]]) ).
cnf(refute_0_392,plain,
cong(X_2459,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2459),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_2459,X_2459,skolemFOFtoCNF_B_1) )],[refute_0_391,refute_0_385]) ).
cnf(refute_0_393,plain,
cong(X_2463,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2463),
inference(subst,[],[refute_0_392:[bind(X_2459,$fot(X_2463))]]) ).
cnf(refute_0_394,plain,
cong(X_2463,skolemFOFtoCNF_B_1,X_2463,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(X_2463,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2463) )],[refute_0_393,refute_0_383]) ).
cnf(refute_0_395,plain,
cong(X_2466,skolemFOFtoCNF_B_1,X_2466,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_394:[bind(X_2463,$fot(X_2466))]]) ).
cnf(refute_0_396,plain,
( ~ coll(X_2466,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_2466,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(X_2466,skolemFOFtoCNF_B_1,X_2466,skolemFOFtoCNF_B_1) )],[refute_0_395,refute_0_381]) ).
cnf(refute_0_397,plain,
coll(X_2466,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_359:[bind(C,$fot(X_2466)),bind(X_1664,$fot(skolemFOFtoCNF_B_1)),bind(X_1665,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_398,plain,
midp(X_2466,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(X_2466,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_397,refute_0_396]) ).
cnf(refute_0_399,plain,
midp(X_2467,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_398:[bind(X_2466,$fot(X_2467))]]) ).
cnf(refute_0_400,plain,
midp(X_2467,X_2397,X_2397),
inference(resolve,[$cnf( midp(X_2467,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_399,refute_0_380]) ).
cnf(refute_0_401,plain,
midp(X_2634,X_2633,X_2633),
inference(subst,[],[refute_0_400:[bind(X_2397,$fot(X_2633)),bind(X_2467,$fot(X_2634))]]) ).
cnf(refute_0_402,plain,
cong(X_2634,X_2633,X_2634,X_2633),
inference(resolve,[$cnf( midp(X_2634,X_2633,X_2633) )],[refute_0_401,refute_0_379]) ).
cnf(refute_0_403,plain,
cong(X_9159,X_9160,X_9159,X_9160),
inference(subst,[],[refute_0_402:[bind(X_2633,$fot(X_9160)),bind(X_2634,$fot(X_9159))]]) ).
cnf(refute_0_404,plain,
perp(X_9160,X_9159,X_9159,X_9160),
inference(resolve,[$cnf( cong(X_9159,X_9160,X_9159,X_9160) )],[refute_0_403,refute_0_378]) ).
cnf(refute_0_405,plain,
perp(X_9162,X_9161,X_9161,X_9162),
inference(subst,[],[refute_0_404:[bind(X_9159,$fot(X_9161)),bind(X_9160,$fot(X_9162))]]) ).
cnf(refute_0_406,plain,
( ~ midp(M,X_9162,X_9162)
| cong(X_9162,M,X_9161,M) ),
inference(resolve,[$cnf( perp(X_9162,X_9161,X_9161,X_9162) )],[refute_0_405,refute_0_3]) ).
cnf(refute_0_407,plain,
( ~ midp(X_2498,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_2498,X_2397,X_2397) ),
inference(subst,[],[refute_0_53:[bind(X_2396,$fot(skolemFOFtoCNF_A)),bind(X_2398,$fot(X_2498))]]) ).
cnf(refute_0_408,plain,
( ~ coll(X_2497,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ cong(X_2497,skolemFOFtoCNF_A,X_2497,skolemFOFtoCNF_A)
| midp(X_2497,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_55:[bind(A,$fot(X_2497)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_409,plain,
( ~ cong(X_2495,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2495)
| cong(X_2495,skolemFOFtoCNF_A,X_2495,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_382:[bind(A,$fot(X_2495)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_2495))]]) ).
cnf(refute_0_410,plain,
( ~ cong(skolemFOFtoCNF_A,X_2492,X_2492,skolemFOFtoCNF_A)
| cong(X_2492,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2492) ),
inference(subst,[],[refute_0_384:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_2492)),bind(C,$fot(X_2492)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_411,plain,
( ~ cong(skolemFOFtoCNF_A,X_2491,skolemFOFtoCNF_A,X_2491)
| cong(skolemFOFtoCNF_A,X_2491,X_2491,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_382:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_2491)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_2491))]]) ).
cnf(refute_0_412,plain,
( ~ midp(skolemFOFtoCNF_A,X_2489,X_2489)
| cong(skolemFOFtoCNF_A,X_2489,skolemFOFtoCNF_A,X_2489) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_2489)),bind(C,$fot(X_2489))]]) ).
cnf(refute_0_413,plain,
( ~ midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| midp(skolemFOFtoCNF_A,X_2397,X_2397) ),
inference(subst,[],[refute_0_53:[bind(X_2396,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(X_2398,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_414,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) ),
inference(subst,[],[refute_0_55:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(C,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_415,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) ),
inference(subst,[],[refute_0_382:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(C,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_416,plain,
( ~ cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_384:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_417,plain,
( ~ cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) ),
inference(subst,[],[refute_0_382:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_418,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_419,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_420,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_421,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_422,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_423,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_424,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_31,refute_0_423]) ).
cnf(refute_0_425,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_424,refute_0_422]) ).
cnf(refute_0_426,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_425,refute_0_421]) ).
cnf(refute_0_427,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_426,refute_0_420]) ).
cnf(refute_0_428,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_427,refute_0_419]) ).
cnf(refute_0_429,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_430,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
( ~ midp(X_2398,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| midp(X_2398,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_51:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(M,$fot(X_2398))]]) ).
cnf(refute_0_432,plain,
( ~ midp(X_2398,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_2398,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_432:[bind(X_2398,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_434,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,X_2453),skolemFOFtoCNF_B_1,X_2453)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,X_2453),X_2453,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_63:[bind(A,$fot(X_2453)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,X_2453)))]]) ).
cnf(refute_0_435,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,Q),skolemFOFtoCNF_B_1,Q) ),
inference(subst,[],[refute_0_48:[bind(N,$fot(skolemFOFtoCNF_O_2)),bind(X_368,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_436,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_55:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_437,plain,
( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)
| cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_382:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_438,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_384:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_439,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_382:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_440,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) )],[refute_0_81,refute_0_439]) ).
cnf(refute_0_441,plain,
cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_440,refute_0_438]) ).
cnf(refute_0_442,plain,
cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) )],[refute_0_441,refute_0_437]) ).
cnf(refute_0_443,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_442,refute_0_436]) ).
cnf(refute_0_444,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_359:[bind(C,$fot(skolemFOFtoCNF_O_2)),bind(X_1664,$fot(skolemFOFtoCNF_B_1)),bind(X_1665,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_445,plain,
midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_444,refute_0_443]) ).
cnf(refute_0_446,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,Q),skolemFOFtoCNF_B_1,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_445,refute_0_435]) ).
cnf(refute_0_447,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,X_2453),skolemFOFtoCNF_B_1,X_2453),
inference(subst,[],[refute_0_446:[bind(Q,$fot(X_2453))]]) ).
cnf(refute_0_448,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,X_2453),X_2453,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,X_2453),skolemFOFtoCNF_B_1,X_2453) )],[refute_0_447,refute_0_434]) ).
cnf(refute_0_449,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_448:[bind(X_2453,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_450,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_449,refute_0_433]) ).
cnf(refute_0_451,plain,
cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_450,refute_0_418]) ).
cnf(refute_0_452,plain,
cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A) )],[refute_0_451,refute_0_417]) ).
cnf(refute_0_453,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) )],[refute_0_452,refute_0_416]) ).
cnf(refute_0_454,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A) )],[refute_0_453,refute_0_415]) ).
cnf(refute_0_455,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) )],[refute_0_454,refute_0_414]) ).
cnf(refute_0_456,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)),
inference(subst,[],[refute_0_359:[bind(C,$fot(skolemFOFtoCNF_A)),bind(X_1664,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(X_1665,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_457,plain,
midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) )],[refute_0_456,refute_0_455]) ).
cnf(refute_0_458,plain,
midp(skolemFOFtoCNF_A,X_2397,X_2397),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) )],[refute_0_457,refute_0_413]) ).
cnf(refute_0_459,plain,
midp(skolemFOFtoCNF_A,X_2489,X_2489),
inference(subst,[],[refute_0_458:[bind(X_2397,$fot(X_2489))]]) ).
cnf(refute_0_460,plain,
cong(skolemFOFtoCNF_A,X_2489,skolemFOFtoCNF_A,X_2489),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,X_2489,X_2489) )],[refute_0_459,refute_0_412]) ).
cnf(refute_0_461,plain,
cong(skolemFOFtoCNF_A,X_2491,skolemFOFtoCNF_A,X_2491),
inference(subst,[],[refute_0_460:[bind(X_2489,$fot(X_2491))]]) ).
cnf(refute_0_462,plain,
cong(skolemFOFtoCNF_A,X_2491,X_2491,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_2491,skolemFOFtoCNF_A,X_2491) )],[refute_0_461,refute_0_411]) ).
cnf(refute_0_463,plain,
cong(skolemFOFtoCNF_A,X_2492,X_2492,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_462:[bind(X_2491,$fot(X_2492))]]) ).
cnf(refute_0_464,plain,
cong(X_2492,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2492),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_2492,X_2492,skolemFOFtoCNF_A) )],[refute_0_463,refute_0_410]) ).
cnf(refute_0_465,plain,
cong(X_2495,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2495),
inference(subst,[],[refute_0_464:[bind(X_2492,$fot(X_2495))]]) ).
cnf(refute_0_466,plain,
cong(X_2495,skolemFOFtoCNF_A,X_2495,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(X_2495,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2495) )],[refute_0_465,refute_0_409]) ).
cnf(refute_0_467,plain,
cong(X_2497,skolemFOFtoCNF_A,X_2497,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_466:[bind(X_2495,$fot(X_2497))]]) ).
cnf(refute_0_468,plain,
( ~ coll(X_2497,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_2497,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( cong(X_2497,skolemFOFtoCNF_A,X_2497,skolemFOFtoCNF_A) )],[refute_0_467,refute_0_408]) ).
cnf(refute_0_469,plain,
coll(X_2497,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_359:[bind(C,$fot(X_2497)),bind(X_1664,$fot(skolemFOFtoCNF_A)),bind(X_1665,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_470,plain,
midp(X_2497,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(X_2497,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_469,refute_0_468]) ).
cnf(refute_0_471,plain,
midp(X_2498,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_470:[bind(X_2497,$fot(X_2498))]]) ).
cnf(refute_0_472,plain,
midp(X_2498,X_2397,X_2397),
inference(resolve,[$cnf( midp(X_2498,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_471,refute_0_407]) ).
cnf(refute_0_473,plain,
midp(M,X_9162,X_9162),
inference(subst,[],[refute_0_472:[bind(X_2397,$fot(X_9162)),bind(X_2498,$fot(M))]]) ).
cnf(refute_0_474,plain,
cong(X_9162,M,X_9161,M),
inference(resolve,[$cnf( midp(M,X_9162,X_9162) )],[refute_0_473,refute_0_406]) ).
cnf(refute_0_475,plain,
cong(A,P,B,P),
inference(subst,[],[refute_0_474:[bind(M,$fot(P)),bind(X_9161,$fot(B)),bind(X_9162,$fot(A))]]) ).
cnf(refute_0_476,plain,
( ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(resolve,[$cnf( cong(A,P,B,P) )],[refute_0_475,refute_0_1]) ).
cnf(refute_0_477,plain,
cong(A,Q,B,Q),
inference(subst,[],[refute_0_474:[bind(M,$fot(Q)),bind(X_9161,$fot(B)),bind(X_9162,$fot(A))]]) ).
cnf(refute_0_478,plain,
perp(A,B,P,Q),
inference(resolve,[$cnf( cong(A,Q,B,Q) )],[refute_0_477,refute_0_476]) ).
cnf(refute_0_479,plain,
perp(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_478:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_F)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_480,plain,
$false,
inference(resolve,[$cnf( perp(skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_479,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO642+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 18:52:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 60.55/60.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 60.55/60.74
% 60.55/60.74 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 60.59/60.78
%------------------------------------------------------------------------------