%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO587+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:27:30 EDT 2022
% Result : Theorem 80.22s 80.41s
% Output : CNFRefutation 80.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 98
% Number of leaves : 31
% Syntax : Number of formulae : 380 ( 149 unt; 0 def)
% Number of atoms : 759 ( 0 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 671 ( 292 ~; 287 |; 59 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-6 aty)
% Number of variables : 933 ( 127 sgn 453 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ) ).
fof(ruleD7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ) ).
fof(ruleD8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C) )
=> circle(O,A,B,C) ) ).
fof(ruleD13,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C)
& cong(O,A,O,D) )
=> cyclic(A,B,C,D) ) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ) ).
fof(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ) ).
fof(ruleD53,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ) ).
fof(ruleD56,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q) )
=> perp(A,B,P,Q) ) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ) ).
fof(ruleX6,axiom,
! [A,B,C,D,M,N] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D) )
=> ( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(ruleX16,axiom,
! [A,B,C,D,M] :
? [P] :
( ( perp(A,B,A,C)
& perp(C,A,C,D)
& midp(M,B,D) )
=> midp(P,A,C) ) ).
fof(exemplo6GDDFULL416049,conjecture,
! [A,C,B,D,P,Q,R,S,O] :
( ( perp(A,C,B,D)
& midp(P,B,A)
& midp(Q,C,B)
& midp(R,D,C)
& midp(S,A,D)
& coll(O,P,R)
& coll(O,Q,S) )
=> cong(O,S,O,R) ) ).
fof(subgoal_0,plain,
! [A,C,B,D,P,Q,R,S,O] :
( ( perp(A,C,B,D)
& midp(P,B,A)
& midp(Q,C,B)
& midp(R,D,C)
& midp(S,A,D)
& coll(O,P,R)
& coll(O,Q,S) )
=> cong(O,S,O,R) ),
inference(strip,[],[exemplo6GDDFULL416049]) ).
fof(negate_0_0,plain,
~ ! [A,C,B,D,P,Q,R,S,O] :
( ( perp(A,C,B,D)
& midp(P,B,A)
& midp(Q,C,B)
& midp(R,D,C)
& midp(S,A,D)
& coll(O,P,R)
& coll(O,Q,S) )
=> cong(O,S,O,R) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,O,P,Q,R,S] :
( ~ cong(O,S,O,R)
& coll(O,P,R)
& coll(O,Q,S)
& midp(P,B,A)
& midp(Q,C,B)
& midp(R,D,C)
& midp(S,A,D)
& perp(A,C,B,D) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_S,skolemFOFtoCNF_O_2,skolemFOFtoCNF_R_1)
& coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_P_8,skolemFOFtoCNF_R_1)
& coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S)
& midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
& midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_S,skolemFOFtoCNF_O_2,skolemFOFtoCNF_R_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_4,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_6,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,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_8,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,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_10,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_9]) ).
fof(normalize_0_11,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_12,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_11]) ).
fof(normalize_0_13,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_14,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_16,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_18,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,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_20,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_19]) ).
fof(normalize_0_21,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_22,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(canonicalize,[],[ruleX7]) ).
fof(normalize_0_24,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [A,B,C,D,M,N,Q] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(clausify,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_27,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_29,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_31,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD39]) ).
fof(normalize_0_33,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A,B,C,D,P,Q] :
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(clausify,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[ruleD41]) ).
fof(normalize_0_36,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_38,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD40]) ).
fof(normalize_0_39,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
! [A,B,C,D,P,Q] :
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(clausify,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[ruleD19]) ).
fof(normalize_0_42,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(specialize,[],[normalize_0_41]) ).
fof(normalize_0_43,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[ruleD64]) ).
fof(normalize_0_44,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(specialize,[],[normalize_0_43]) ).
fof(normalize_0_45,plain,
! [A,B,C,D] :
( ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| ? [P] : midp(P,A,C)
| ! [M] : ~ midp(M,B,D) ),
inference(canonicalize,[],[ruleX16]) ).
fof(normalize_0_46,plain,
! [A,B,C,D] :
( ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| ? [P] : midp(P,A,C)
| ! [M] : ~ midp(M,B,D) ),
inference(specialize,[],[normalize_0_45]) ).
fof(normalize_0_47,plain,
! [A,B,C,D,M] :
( ~ midp(M,B,D)
| ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| midp(skolemFOFtoCNF_P_7(A,C),A,C) ),
inference(clausify,[],[normalize_0_46]) ).
fof(normalize_0_48,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_49,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_48]) ).
fof(normalize_0_50,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_51,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(specialize,[],[normalize_0_50]) ).
fof(normalize_0_52,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_53,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_52]) ).
fof(normalize_0_54,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_55,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_54]) ).
fof(normalize_0_56,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[ruleD12]) ).
fof(normalize_0_57,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_56]) ).
fof(normalize_0_58,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| ? [P] :
( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ),
inference(canonicalize,[],[ruleX6]) ).
fof(normalize_0_59,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| ? [P] :
( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ),
inference(specialize,[],[normalize_0_58]) ).
fof(normalize_0_60,plain,
! [A,B,C,D,M,N] :
( ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) )
& ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| para(skolemFOFtoCNF_P(A,B,C,D,M,N),M,B,D) )
& ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| para(skolemFOFtoCNF_P(A,B,C,D,M,N),N,A,C) ) ),
inference(clausify,[],[normalize_0_59]) ).
fof(normalize_0_61,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(conjunct,[],[normalize_0_60]) ).
fof(normalize_0_62,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_63,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_62]) ).
fof(normalize_0_64,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_65,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_64]) ).
fof(normalize_0_66,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_67,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_66]) ).
fof(normalize_0_68,plain,
midp(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_69,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_70,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_69]) ).
fof(normalize_0_71,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_72,plain,
midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_73,plain,
midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_S,skolemFOFtoCNF_O_2,skolemFOFtoCNF_R_1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ cong(X_9262,X_9263,X_9264,X_9262)
| cong(X_9262,X_9263,X_9262,X_9264) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_9262)),bind(B,$fot(X_9263)),bind(C,$fot(X_9264)),bind(D,$fot(X_9262))]]) ).
cnf(refute_0_3,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ cong(X_9241,X_9239,X_9239,X_9240)
| cong(X_9239,X_9240,X_9241,X_9239) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_9241)),bind(B,$fot(X_9239)),bind(C,$fot(X_9239)),bind(D,$fot(X_9240))]]) ).
cnf(refute_0_5,plain,
( ~ cong(X_9238,X_9236,X_9237,X_9236)
| cong(X_9238,X_9236,X_9236,X_9237) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_9238)),bind(B,$fot(X_9236)),bind(C,$fot(X_9237)),bind(D,$fot(X_9236))]]) ).
cnf(refute_0_6,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
( ~ midp(M,X_9219,X_9219)
| ~ perp(X_9219,X_9218,X_9218,X_9219)
| cong(X_9219,M,X_9218,M) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_9219)),bind(B,$fot(X_9218)),bind(C,$fot(X_9219))]]) ).
cnf(refute_0_8,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_9,plain,
( ~ cong(X_9216,X_9217,X_9216,X_9217)
| ~ cyclic(X_9216,X_9216,X_9217,X_9217)
| perp(X_9217,X_9216,X_9216,X_9217) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_9216)),bind(B,$fot(X_9216)),bind(P,$fot(X_9217)),bind(Q,$fot(X_9217))]]) ).
cnf(refute_0_10,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_11,plain,
( ~ cyclic(X_9214,X_9214,X_9214,X_9215)
| cyclic(X_9214,X_9214,X_9215,X_9215) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_9214)),bind(B,$fot(X_9214)),bind(C,$fot(X_9214)),bind(D,$fot(X_9215)),bind(E,$fot(X_9215))]]) ).
cnf(refute_0_12,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_13,plain,
( ~ cyclic(X_9212,X_9212,X_9213,X_9212)
| cyclic(X_9212,X_9212,X_9212,X_9213) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_9212)),bind(B,$fot(X_9212)),bind(C,$fot(X_9213)),bind(D,$fot(X_9212))]]) ).
cnf(refute_0_14,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_15,plain,
( ~ cyclic(X_9210,X_9211,X_9210,X_9210)
| cyclic(X_9210,X_9210,X_9211,X_9210) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_9210)),bind(B,$fot(X_9211)),bind(C,$fot(X_9210)),bind(D,$fot(X_9210))]]) ).
cnf(refute_0_16,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_17,plain,
( ~ cyclic(X_9209,X_9208,X_9208,X_9208)
| cyclic(X_9208,X_9209,X_9208,X_9208) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_9209)),bind(B,$fot(X_9208)),bind(C,$fot(X_9208)),bind(D,$fot(X_9208))]]) ).
cnf(refute_0_18,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_20]) ).
cnf(refute_0_19,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_9207,X_9206),X_9207,skolemFOFtoCNF_P_1(X_9207,X_9206),X_9206)
| cyclic(X_9207,X_9206,X_9206,X_9206) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_9207)),bind(B,$fot(X_9206)),bind(C,$fot(X_9206)),bind(D,$fot(X_9206)),bind(O,$fot(skolemFOFtoCNF_P_1(X_9207,X_9206)))]]) ).
cnf(refute_0_20,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_21,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_4858,X_4857),X_4858,X_4857)
| cong(skolemFOFtoCNF_P_1(X_4858,X_4857),X_4858,skolemFOFtoCNF_P_1(X_4858,X_4857),X_4857) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_P_1(X_4858,X_4857))),bind(B,$fot(X_4858)),bind(C,$fot(X_4857))]]) ).
cnf(refute_0_22,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_23,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_24,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_25,plain,
( ~ coll(X_697,X_696,X_697)
| coll(X_697,X_697,X_696) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_697)),bind(B,$fot(X_696)),bind(C,$fot(X_697))]]) ).
cnf(refute_0_26,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_27,plain,
( ~ coll(X_694,X_695,X_695)
| coll(X_695,X_694,X_695) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_694)),bind(B,$fot(X_695)),bind(C,$fot(X_695))]]) ).
cnf(refute_0_28,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_29,plain,
( ~ para(X_689,X_690,X_689,X_690)
| coll(X_689,X_690,X_690) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_689)),bind(B,$fot(X_690)),bind(C,$fot(X_690))]]) ).
cnf(refute_0_30,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_31,plain,
( ~ eqangle(X_687,X_688,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_687,X_688,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_687,X_688,X_687,X_688) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(X_687)),bind(B,$fot(X_688)),bind(C,$fot(X_687)),bind(D,$fot(X_688)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_32,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_33,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_34,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_10:[bind(A,$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_35,plain,
( ~ cong(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_36,plain,
midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_37,plain,
( ~ midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_P_8)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_38,plain,
cong(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_A) )],[refute_0_38,refute_0_35]) ).
cnf(refute_0_40,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_39,refute_0_34]) ).
cnf(refute_0_41,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_40,refute_0_33]) ).
cnf(refute_0_42,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_30:[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_43,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_45,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154) ),
inference(subst,[],[refute_0_44:[bind(A,$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,$fot(X_154))]]) ).
cnf(refute_0_46,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_43,refute_0_45]) ).
cnf(refute_0_47,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_685,X_686,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_685,X_686),
inference(subst,[],[refute_0_46:[bind(X_153,$fot(X_685)),bind(X_154,$fot(X_686))]]) ).
cnf(refute_0_48,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_49,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_685,X_686,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_685,X_686)
| eqangle(X_685,X_686,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_685,X_686,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_48:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_685)),bind(D,$fot(X_686)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_685)),bind(V,$fot(X_686))]]) ).
cnf(refute_0_50,plain,
eqangle(X_685,X_686,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_685,X_686,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_685,X_686,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_685,X_686) )],[refute_0_47,refute_0_49]) ).
cnf(refute_0_51,plain,
eqangle(X_687,X_688,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_687,X_688,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_50:[bind(X_685,$fot(X_687)),bind(X_686,$fot(X_688))]]) ).
cnf(refute_0_52,plain,
para(X_687,X_688,X_687,X_688),
inference(resolve,[$cnf( eqangle(X_687,X_688,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_687,X_688,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_51,refute_0_31]) ).
cnf(refute_0_53,plain,
para(X_689,X_690,X_689,X_690),
inference(subst,[],[refute_0_52:[bind(X_687,$fot(X_689)),bind(X_688,$fot(X_690))]]) ).
cnf(refute_0_54,plain,
coll(X_689,X_690,X_690),
inference(resolve,[$cnf( para(X_689,X_690,X_689,X_690) )],[refute_0_53,refute_0_29]) ).
cnf(refute_0_55,plain,
coll(X_694,X_695,X_695),
inference(subst,[],[refute_0_54:[bind(X_689,$fot(X_694)),bind(X_690,$fot(X_695))]]) ).
cnf(refute_0_56,plain,
coll(X_695,X_694,X_695),
inference(resolve,[$cnf( coll(X_694,X_695,X_695) )],[refute_0_55,refute_0_27]) ).
cnf(refute_0_57,plain,
coll(X_697,X_696,X_697),
inference(subst,[],[refute_0_56:[bind(X_694,$fot(X_696)),bind(X_695,$fot(X_697))]]) ).
cnf(refute_0_58,plain,
coll(X_697,X_697,X_696),
inference(resolve,[$cnf( coll(X_697,X_696,X_697) )],[refute_0_57,refute_0_25]) ).
cnf(refute_0_59,plain,
coll(D,D,D),
inference(subst,[],[refute_0_58:[bind(X_696,$fot(D)),bind(X_697,$fot(D))]]) ).
cnf(refute_0_60,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_59,refute_0_23]) ).
cnf(refute_0_61,plain,
( ~ midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),X_4844,X_4844)
| midp(skolemFOFtoCNF_P_1(X_4844,Q),X_4844,Q) ),
inference(subst,[],[refute_0_60:[bind(D,$fot(X_4844)),bind(N,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_62,plain,
para(X_4741,X_4742,X_4741,X_4742),
inference(subst,[],[refute_0_52:[bind(X_687,$fot(X_4741)),bind(X_688,$fot(X_4742))]]) ).
cnf(refute_0_63,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_64,plain,
( ~ midp(X_4743,X_4741,X_4741)
| ~ para(X_4741,X_4742,X_4741,X_4742)
| midp(X_4743,X_4742,X_4742) ),
inference(subst,[],[refute_0_63:[bind(A,$fot(X_4741)),bind(B,$fot(X_4741)),bind(C,$fot(X_4742)),bind(D,$fot(X_4742)),bind(M,$fot(X_4743))]]) ).
cnf(refute_0_65,plain,
( ~ midp(X_4743,X_4741,X_4741)
| midp(X_4743,X_4742,X_4742) ),
inference(resolve,[$cnf( para(X_4741,X_4742,X_4741,X_4742) )],[refute_0_62,refute_0_64]) ).
cnf(refute_0_66,plain,
( ~ midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),X_4742,X_4742) ),
inference(subst,[],[refute_0_65:[bind(X_4741,$fot(skolemFOFtoCNF_B_1)),bind(X_4743,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_67,plain,
( ~ midp(M,B,D)
| ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| midp(skolemFOFtoCNF_P_7(A,C),A,C) ),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_68,plain,
( ~ midp(M,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_67:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_69,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_70,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4821,X_4821)
| perp(X_4821,X_4821,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_4821)),bind(D,$fot(X_4821))]]) ).
cnf(refute_0_71,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_72,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_4815,skolemFOFtoCNF_B_1,X_4815)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4815,X_4815) ),
inference(subst,[],[refute_0_71:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(X_4815)),bind(Q,$fot(X_4815))]]) ).
cnf(refute_0_73,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_4812,X_4812)
| cong(skolemFOFtoCNF_B_1,X_4812,skolemFOFtoCNF_B_1,X_4812) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_4812)),bind(C,$fot(X_4812))]]) ).
cnf(refute_0_74,plain,
( ~ midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)
| midp(skolemFOFtoCNF_B_1,X_4742,X_4742) ),
inference(subst,[],[refute_0_65:[bind(X_4741,$fot(skolemFOFtoCNF_P_8)),bind(X_4743,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_75,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_76,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_75:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_8)),bind(C,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_77,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_78,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_77:[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_79,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_69:[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_80,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_81,plain,
( ~ cong(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1)
| circle(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)))))]]) ).
cnf(refute_0_82,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_83,plain,
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_84,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)))),bind(N,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))))]]) ).
cnf(refute_0_85,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),bind(N,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)))]]) ).
cnf(refute_0_86,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_87,plain,
( ~ midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_88,plain,
midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_36,refute_0_87]) ).
cnf(refute_0_89,plain,
( ~ midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_P_8)),bind(N,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_90,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_90,refute_0_85]) ).
cnf(refute_0_92,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_91,refute_0_84]) ).
cnf(refute_0_93,plain,
cong(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_92,refute_0_82]) ).
cnf(refute_0_94,plain,
circle(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_B_1) )],[refute_0_93,refute_0_81]) ).
cnf(refute_0_95,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_96,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_97,plain,
( ~ coll(X_4020,skolemFOFtoCNF_S,C)
| ~ coll(X_4020,skolemFOFtoCNF_S,X_4021)
| coll(C,X_4021,X_4020) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(X_4020)),bind(B,$fot(skolemFOFtoCNF_S)),bind(D,$fot(X_4021))]]) ).
cnf(refute_0_98,plain,
( ~ coll(X_4004,skolemFOFtoCNF_D,C)
| ~ coll(X_4004,skolemFOFtoCNF_D,skolemFOFtoCNF_S)
| coll(C,skolemFOFtoCNF_S,X_4004) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(X_4004)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_99,plain,
( ~ coll(skolemFOFtoCNF_S,X_3931,C)
| ~ coll(skolemFOFtoCNF_S,X_3931,skolemFOFtoCNF_D)
| coll(C,skolemFOFtoCNF_D,skolemFOFtoCNF_S) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(skolemFOFtoCNF_S)),bind(B,$fot(X_3931)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_100,plain,
midp(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_101,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_102,plain,
( ~ midp(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_101:[bind(A,$fot(skolemFOFtoCNF_S)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_103,plain,
coll(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_100,refute_0_102]) ).
cnf(refute_0_104,plain,
( ~ coll(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_S) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(skolemFOFtoCNF_S)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_105,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_S),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3900)
| ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_S)
| coll(skolemFOFtoCNF_S,X_3900,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_S)),bind(D,$fot(X_3900))]]) ).
cnf(refute_0_107,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3900)
| coll(skolemFOFtoCNF_S,X_3900,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_S) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3900),
inference(subst,[],[refute_0_58:[bind(X_696,$fot(X_3900)),bind(X_697,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_109,plain,
coll(skolemFOFtoCNF_S,X_3900,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3900) )],[refute_0_108,refute_0_107]) ).
cnf(refute_0_110,plain,
coll(skolemFOFtoCNF_S,X_3931,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_109:[bind(X_3900,$fot(X_3931))]]) ).
cnf(refute_0_111,plain,
( ~ coll(skolemFOFtoCNF_S,X_3931,C)
| coll(C,skolemFOFtoCNF_D,skolemFOFtoCNF_S) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_S,X_3931,skolemFOFtoCNF_D) )],[refute_0_110,refute_0_99]) ).
cnf(refute_0_112,plain,
( ~ coll(X_694,X_695,X_695)
| coll(X_695,X_695,X_694) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(X_694)),bind(B,$fot(X_695)),bind(C,$fot(X_695)),bind(D,$fot(X_695))]]) ).
cnf(refute_0_113,plain,
coll(X_695,X_695,X_694),
inference(resolve,[$cnf( coll(X_694,X_695,X_695) )],[refute_0_55,refute_0_112]) ).
cnf(refute_0_114,plain,
coll(X_3898,X_3898,X_3899),
inference(subst,[],[refute_0_113:[bind(X_694,$fot(X_3899)),bind(X_695,$fot(X_3898))]]) ).
cnf(refute_0_115,plain,
( ~ coll(X_3898,X_3898,X_3899)
| ~ coll(X_3898,X_3898,X_3900)
| coll(X_3899,X_3900,X_3898) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(X_3898)),bind(B,$fot(X_3898)),bind(C,$fot(X_3899)),bind(D,$fot(X_3900))]]) ).
cnf(refute_0_116,plain,
( ~ coll(X_3898,X_3898,X_3900)
| coll(X_3899,X_3900,X_3898) ),
inference(resolve,[$cnf( coll(X_3898,X_3898,X_3899) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
coll(X_3898,X_3898,X_3900),
inference(subst,[],[refute_0_58:[bind(X_696,$fot(X_3900)),bind(X_697,$fot(X_3898))]]) ).
cnf(refute_0_118,plain,
coll(X_3899,X_3900,X_3898),
inference(resolve,[$cnf( coll(X_3898,X_3898,X_3900) )],[refute_0_117,refute_0_116]) ).
cnf(refute_0_119,plain,
coll(skolemFOFtoCNF_S,X_3931,C),
inference(subst,[],[refute_0_118:[bind(X_3898,$fot(C)),bind(X_3899,$fot(skolemFOFtoCNF_S)),bind(X_3900,$fot(X_3931))]]) ).
cnf(refute_0_120,plain,
coll(C,skolemFOFtoCNF_D,skolemFOFtoCNF_S),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_S,X_3931,C) )],[refute_0_119,refute_0_111]) ).
cnf(refute_0_121,plain,
coll(X_4004,skolemFOFtoCNF_D,skolemFOFtoCNF_S),
inference(subst,[],[refute_0_120:[bind(C,$fot(X_4004))]]) ).
cnf(refute_0_122,plain,
( ~ coll(X_4004,skolemFOFtoCNF_D,C)
| coll(C,skolemFOFtoCNF_S,X_4004) ),
inference(resolve,[$cnf( coll(X_4004,skolemFOFtoCNF_D,skolemFOFtoCNF_S) )],[refute_0_121,refute_0_98]) ).
cnf(refute_0_123,plain,
( ~ coll(X_3968,skolemFOFtoCNF_O_2,C)
| ~ coll(X_3968,skolemFOFtoCNF_O_2,X_3969)
| coll(C,X_3969,X_3968) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(X_3968)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(X_3969))]]) ).
cnf(refute_0_124,plain,
( ~ coll(X_3936,skolemFOFtoCNF_Q_3,C)
| ~ coll(X_3936,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_O_2)
| coll(C,skolemFOFtoCNF_O_2,X_3936) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(X_3936)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_125,plain,
( ~ coll(skolemFOFtoCNF_Q_3,X_3932,skolemFOFtoCNF_O_2)
| coll(X_3932,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(X_3932)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_126,plain,
( ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_O_2,skolemFOFtoCNF_S)
| coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_127,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_128,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S)
| coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_O_2,skolemFOFtoCNF_S) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(C,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_129,plain,
coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_O_2,skolemFOFtoCNF_S),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_O_2,skolemFOFtoCNF_S) )],[refute_0_129,refute_0_126]) ).
cnf(refute_0_131,plain,
( ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S,skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(skolemFOFtoCNF_S)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_132,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S,skolemFOFtoCNF_O_2) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_3900)
| ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_3)
| coll(skolemFOFtoCNF_Q_3,X_3900,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_Q_3)),bind(D,$fot(X_3900))]]) ).
cnf(refute_0_134,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_3900)
| coll(skolemFOFtoCNF_Q_3,X_3900,skolemFOFtoCNF_O_2) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_Q_3) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_3900),
inference(subst,[],[refute_0_58:[bind(X_696,$fot(X_3900)),bind(X_697,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_136,plain,
coll(skolemFOFtoCNF_Q_3,X_3900,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_3900) )],[refute_0_135,refute_0_134]) ).
cnf(refute_0_137,plain,
coll(skolemFOFtoCNF_Q_3,X_3932,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_136:[bind(X_3900,$fot(X_3932))]]) ).
cnf(refute_0_138,plain,
coll(X_3932,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,X_3932,skolemFOFtoCNF_O_2) )],[refute_0_137,refute_0_125]) ).
cnf(refute_0_139,plain,
coll(X_3936,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_138:[bind(X_3932,$fot(X_3936))]]) ).
cnf(refute_0_140,plain,
( ~ coll(X_3936,skolemFOFtoCNF_Q_3,C)
| coll(C,skolemFOFtoCNF_O_2,X_3936) ),
inference(resolve,[$cnf( coll(X_3936,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_O_2) )],[refute_0_139,refute_0_124]) ).
cnf(refute_0_141,plain,
coll(X_3936,skolemFOFtoCNF_Q_3,C),
inference(subst,[],[refute_0_118:[bind(X_3898,$fot(C)),bind(X_3899,$fot(X_3936)),bind(X_3900,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_142,plain,
coll(C,skolemFOFtoCNF_O_2,X_3936),
inference(resolve,[$cnf( coll(X_3936,skolemFOFtoCNF_Q_3,C) )],[refute_0_141,refute_0_140]) ).
cnf(refute_0_143,plain,
coll(X_3968,skolemFOFtoCNF_O_2,X_3969),
inference(subst,[],[refute_0_142:[bind(C,$fot(X_3968)),bind(X_3936,$fot(X_3969))]]) ).
cnf(refute_0_144,plain,
( ~ coll(X_3968,skolemFOFtoCNF_O_2,C)
| coll(C,X_3969,X_3968) ),
inference(resolve,[$cnf( coll(X_3968,skolemFOFtoCNF_O_2,X_3969) )],[refute_0_143,refute_0_123]) ).
cnf(refute_0_145,plain,
( ~ coll(X_3966,skolemFOFtoCNF_B_1,C)
| ~ coll(X_3966,skolemFOFtoCNF_B_1,X_3967)
| coll(C,X_3967,X_3966) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(X_3966)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3967))]]) ).
cnf(refute_0_146,plain,
( ~ coll(X_3934,skolemFOFtoCNF_Q_3,C)
| ~ coll(X_3934,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_3934) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(X_3934)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_147,plain,
( ~ coll(skolemFOFtoCNF_Q_3,X_3929,skolemFOFtoCNF_B_1)
| coll(X_3929,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(X_3929)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_148,plain,
midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_149,plain,
( ~ midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_101:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_150,plain,
coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
( ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_152,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3900)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3)
| coll(skolemFOFtoCNF_Q_3,X_3900,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_Q_3)),bind(D,$fot(X_3900))]]) ).
cnf(refute_0_154,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3900)
| coll(skolemFOFtoCNF_Q_3,X_3900,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3900),
inference(subst,[],[refute_0_58:[bind(X_696,$fot(X_3900)),bind(X_697,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_156,plain,
coll(skolemFOFtoCNF_Q_3,X_3900,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3900) )],[refute_0_155,refute_0_154]) ).
cnf(refute_0_157,plain,
coll(skolemFOFtoCNF_Q_3,X_3929,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_156:[bind(X_3900,$fot(X_3929))]]) ).
cnf(refute_0_158,plain,
coll(X_3929,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,X_3929,skolemFOFtoCNF_B_1) )],[refute_0_157,refute_0_147]) ).
cnf(refute_0_159,plain,
coll(X_3934,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_158:[bind(X_3929,$fot(X_3934))]]) ).
cnf(refute_0_160,plain,
( ~ coll(X_3934,skolemFOFtoCNF_Q_3,C)
| coll(C,skolemFOFtoCNF_B_1,X_3934) ),
inference(resolve,[$cnf( coll(X_3934,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1) )],[refute_0_159,refute_0_146]) ).
cnf(refute_0_161,plain,
coll(X_3934,skolemFOFtoCNF_Q_3,C),
inference(subst,[],[refute_0_118:[bind(X_3898,$fot(C)),bind(X_3899,$fot(X_3934)),bind(X_3900,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_162,plain,
coll(C,skolemFOFtoCNF_B_1,X_3934),
inference(resolve,[$cnf( coll(X_3934,skolemFOFtoCNF_Q_3,C) )],[refute_0_161,refute_0_160]) ).
cnf(refute_0_163,plain,
coll(X_3966,skolemFOFtoCNF_B_1,X_3967),
inference(subst,[],[refute_0_162:[bind(C,$fot(X_3966)),bind(X_3934,$fot(X_3967))]]) ).
cnf(refute_0_164,plain,
( ~ coll(X_3966,skolemFOFtoCNF_B_1,C)
| coll(C,X_3967,X_3966) ),
inference(resolve,[$cnf( coll(X_3966,skolemFOFtoCNF_B_1,X_3967) )],[refute_0_163,refute_0_145]) ).
cnf(refute_0_165,plain,
coll(X_3966,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_118:[bind(X_3898,$fot(C)),bind(X_3899,$fot(X_3966)),bind(X_3900,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_166,plain,
coll(C,X_3967,X_3966),
inference(resolve,[$cnf( coll(X_3966,skolemFOFtoCNF_B_1,C) )],[refute_0_165,refute_0_164]) ).
cnf(refute_0_167,plain,
coll(X_3968,skolemFOFtoCNF_O_2,C),
inference(subst,[],[refute_0_166:[bind(C,$fot(X_3968)),bind(X_3966,$fot(C)),bind(X_3967,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_168,plain,
coll(C,X_3969,X_3968),
inference(resolve,[$cnf( coll(X_3968,skolemFOFtoCNF_O_2,C) )],[refute_0_167,refute_0_144]) ).
cnf(refute_0_169,plain,
coll(X_4004,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_168:[bind(C,$fot(X_4004)),bind(X_3968,$fot(C)),bind(X_3969,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_170,plain,
coll(C,skolemFOFtoCNF_S,X_4004),
inference(resolve,[$cnf( coll(X_4004,skolemFOFtoCNF_D,C) )],[refute_0_169,refute_0_122]) ).
cnf(refute_0_171,plain,
coll(X_4020,skolemFOFtoCNF_S,X_4021),
inference(subst,[],[refute_0_170:[bind(C,$fot(X_4020)),bind(X_4004,$fot(X_4021))]]) ).
cnf(refute_0_172,plain,
( ~ coll(X_4020,skolemFOFtoCNF_S,C)
| coll(C,X_4021,X_4020) ),
inference(resolve,[$cnf( coll(X_4020,skolemFOFtoCNF_S,X_4021) )],[refute_0_171,refute_0_97]) ).
cnf(refute_0_173,plain,
( ~ coll(X_4007,skolemFOFtoCNF_R_1,C)
| ~ coll(X_4007,skolemFOFtoCNF_R_1,X_4008)
| coll(C,X_4008,X_4007) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(X_4007)),bind(B,$fot(skolemFOFtoCNF_R_1)),bind(D,$fot(X_4008))]]) ).
cnf(refute_0_174,plain,
( ~ coll(X_3993,skolemFOFtoCNF_C_1,C)
| ~ coll(X_3993,skolemFOFtoCNF_C_1,skolemFOFtoCNF_R_1)
| coll(C,skolemFOFtoCNF_R_1,X_3993) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(X_3993)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_175,plain,
( ~ coll(skolemFOFtoCNF_R_1,X_3992,C)
| ~ coll(skolemFOFtoCNF_R_1,X_3992,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_R_1) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(skolemFOFtoCNF_R_1)),bind(B,$fot(X_3992)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_176,plain,
midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_177,plain,
( ~ midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_101:[bind(A,$fot(skolemFOFtoCNF_R_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_178,plain,
coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
( ~ coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_R_1) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(skolemFOFtoCNF_R_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_180,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_R_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_R_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3900)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_R_1)
| coll(skolemFOFtoCNF_R_1,X_3900,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_R_1)),bind(D,$fot(X_3900))]]) ).
cnf(refute_0_182,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3900)
| coll(skolemFOFtoCNF_R_1,X_3900,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_R_1) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3900),
inference(subst,[],[refute_0_58:[bind(X_696,$fot(X_3900)),bind(X_697,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_184,plain,
coll(skolemFOFtoCNF_R_1,X_3900,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3900) )],[refute_0_183,refute_0_182]) ).
cnf(refute_0_185,plain,
coll(skolemFOFtoCNF_R_1,X_3992,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_184:[bind(X_3900,$fot(X_3992))]]) ).
cnf(refute_0_186,plain,
( ~ coll(skolemFOFtoCNF_R_1,X_3992,C)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_R_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_R_1,X_3992,skolemFOFtoCNF_C_1) )],[refute_0_185,refute_0_175]) ).
cnf(refute_0_187,plain,
coll(skolemFOFtoCNF_R_1,X_3992,C),
inference(subst,[],[refute_0_168:[bind(C,$fot(skolemFOFtoCNF_R_1)),bind(X_3968,$fot(C)),bind(X_3969,$fot(X_3992))]]) ).
cnf(refute_0_188,plain,
coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_R_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_R_1,X_3992,C) )],[refute_0_187,refute_0_186]) ).
cnf(refute_0_189,plain,
coll(X_3993,skolemFOFtoCNF_C_1,skolemFOFtoCNF_R_1),
inference(subst,[],[refute_0_188:[bind(C,$fot(X_3993))]]) ).
cnf(refute_0_190,plain,
( ~ coll(X_3993,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_R_1,X_3993) ),
inference(resolve,[$cnf( coll(X_3993,skolemFOFtoCNF_C_1,skolemFOFtoCNF_R_1) )],[refute_0_189,refute_0_174]) ).
cnf(refute_0_191,plain,
coll(X_3993,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_168:[bind(C,$fot(X_3993)),bind(X_3968,$fot(C)),bind(X_3969,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_192,plain,
coll(C,skolemFOFtoCNF_R_1,X_3993),
inference(resolve,[$cnf( coll(X_3993,skolemFOFtoCNF_C_1,C) )],[refute_0_191,refute_0_190]) ).
cnf(refute_0_193,plain,
coll(X_4007,skolemFOFtoCNF_R_1,X_4008),
inference(subst,[],[refute_0_192:[bind(C,$fot(X_4007)),bind(X_3993,$fot(X_4008))]]) ).
cnf(refute_0_194,plain,
( ~ coll(X_4007,skolemFOFtoCNF_R_1,C)
| coll(C,X_4008,X_4007) ),
inference(resolve,[$cnf( coll(X_4007,skolemFOFtoCNF_R_1,X_4008) )],[refute_0_193,refute_0_173]) ).
cnf(refute_0_195,plain,
coll(X_4007,skolemFOFtoCNF_R_1,C),
inference(subst,[],[refute_0_168:[bind(C,$fot(X_4007)),bind(X_3968,$fot(C)),bind(X_3969,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_196,plain,
coll(C,X_4008,X_4007),
inference(resolve,[$cnf( coll(X_4007,skolemFOFtoCNF_R_1,C) )],[refute_0_195,refute_0_194]) ).
cnf(refute_0_197,plain,
coll(X_4020,skolemFOFtoCNF_S,C),
inference(subst,[],[refute_0_196:[bind(C,$fot(X_4020)),bind(X_4007,$fot(C)),bind(X_4008,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_198,plain,
coll(C,X_4021,X_4020),
inference(resolve,[$cnf( coll(X_4020,skolemFOFtoCNF_S,C) )],[refute_0_197,refute_0_172]) ).
cnf(refute_0_199,plain,
coll(O,A,C),
inference(subst,[],[refute_0_198:[bind(C,$fot(O)),bind(X_4020,$fot(C)),bind(X_4021,$fot(A))]]) ).
cnf(refute_0_200,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_199,refute_0_95]) ).
cnf(refute_0_201,plain,
( ~ circle(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_200:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)))))]]) ).
cnf(refute_0_202,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8))),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_94,refute_0_201]) ).
cnf(refute_0_203,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_202,refute_0_79]) ).
cnf(refute_0_204,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_203,refute_0_78]) ).
cnf(refute_0_205,plain,
( ~ midp(X_4809,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,X_4809,skolemFOFtoCNF_B_1,X_4809) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(M,$fot(X_4809))]]) ).
cnf(refute_0_206,plain,
( ~ midp(X_4809,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,X_4809,skolemFOFtoCNF_B_1,X_4809) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
( ~ midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8) ),
inference(subst,[],[refute_0_206:[bind(X_4809,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_208,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_36,refute_0_207]) ).
cnf(refute_0_209,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8) )],[refute_0_208,refute_0_76]) ).
cnf(refute_0_210,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),
inference(subst,[],[refute_0_198:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_4020,$fot(skolemFOFtoCNF_P_8)),bind(X_4021,$fot(skolemFOFtoCNF_P_8))]]) ).
cnf(refute_0_211,plain,
midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8) )],[refute_0_210,refute_0_209]) ).
cnf(refute_0_212,plain,
midp(skolemFOFtoCNF_B_1,X_4742,X_4742),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_8,skolemFOFtoCNF_P_8) )],[refute_0_211,refute_0_74]) ).
cnf(refute_0_213,plain,
midp(skolemFOFtoCNF_B_1,X_4812,X_4812),
inference(subst,[],[refute_0_212:[bind(X_4742,$fot(X_4812))]]) ).
cnf(refute_0_214,plain,
cong(skolemFOFtoCNF_B_1,X_4812,skolemFOFtoCNF_B_1,X_4812),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_4812,X_4812) )],[refute_0_213,refute_0_73]) ).
cnf(refute_0_215,plain,
cong(skolemFOFtoCNF_B_1,X_4815,skolemFOFtoCNF_B_1,X_4815),
inference(subst,[],[refute_0_214:[bind(X_4812,$fot(X_4815))]]) ).
cnf(refute_0_216,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4815,X_4815),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_4815,skolemFOFtoCNF_B_1,X_4815) )],[refute_0_215,refute_0_72]) ).
cnf(refute_0_217,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4821,X_4821),
inference(subst,[],[refute_0_216:[bind(X_4815,$fot(X_4821))]]) ).
cnf(refute_0_218,plain,
perp(X_4821,X_4821,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4821,X_4821) )],[refute_0_217,refute_0_70]) ).
cnf(refute_0_219,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_218:[bind(X_4821,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_220,plain,
( ~ midp(M,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_219,refute_0_68]) ).
cnf(refute_0_221,plain,
( ~ coll(X_4828,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(X_4828,skolemFOFtoCNF_B_1,X_4828,skolemFOFtoCNF_B_1)
| midp(X_4828,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_75:[bind(A,$fot(X_4828)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_222,plain,
( ~ cong(X_4826,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4826)
| cong(X_4826,skolemFOFtoCNF_B_1,X_4826,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_4826)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_4826))]]) ).
cnf(refute_0_223,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_4820,X_4820,skolemFOFtoCNF_B_1)
| cong(X_4820,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4820) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_4820)),bind(C,$fot(X_4820)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_224,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_4815,skolemFOFtoCNF_B_1,X_4815)
| cong(skolemFOFtoCNF_B_1,X_4815,X_4815,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_4815)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_4815))]]) ).
cnf(refute_0_225,plain,
cong(skolemFOFtoCNF_B_1,X_4815,X_4815,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_4815,skolemFOFtoCNF_B_1,X_4815) )],[refute_0_215,refute_0_224]) ).
cnf(refute_0_226,plain,
cong(skolemFOFtoCNF_B_1,X_4820,X_4820,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_225:[bind(X_4815,$fot(X_4820))]]) ).
cnf(refute_0_227,plain,
cong(X_4820,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4820),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_4820,X_4820,skolemFOFtoCNF_B_1) )],[refute_0_226,refute_0_223]) ).
cnf(refute_0_228,plain,
cong(X_4826,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4826),
inference(subst,[],[refute_0_227:[bind(X_4820,$fot(X_4826))]]) ).
cnf(refute_0_229,plain,
cong(X_4826,skolemFOFtoCNF_B_1,X_4826,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(X_4826,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4826) )],[refute_0_228,refute_0_222]) ).
cnf(refute_0_230,plain,
cong(X_4828,skolemFOFtoCNF_B_1,X_4828,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_229:[bind(X_4826,$fot(X_4828))]]) ).
cnf(refute_0_231,plain,
( ~ coll(X_4828,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_4828,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(X_4828,skolemFOFtoCNF_B_1,X_4828,skolemFOFtoCNF_B_1) )],[refute_0_230,refute_0_221]) ).
cnf(refute_0_232,plain,
coll(X_4828,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_198:[bind(C,$fot(X_4828)),bind(X_4020,$fot(skolemFOFtoCNF_B_1)),bind(X_4021,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_233,plain,
midp(X_4828,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(X_4828,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_232,refute_0_231]) ).
cnf(refute_0_234,plain,
midp(M,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_233:[bind(X_4828,$fot(M))]]) ).
cnf(refute_0_235,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(M,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_234,refute_0_220]) ).
cnf(refute_0_236,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),X_4742,X_4742),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_235,refute_0_66]) ).
cnf(refute_0_237,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),X_4844,X_4844),
inference(subst,[],[refute_0_236:[bind(X_4742,$fot(X_4844))]]) ).
cnf(refute_0_238,plain,
midp(skolemFOFtoCNF_P_1(X_4844,Q),X_4844,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),X_4844,X_4844) )],[refute_0_237,refute_0_61]) ).
cnf(refute_0_239,plain,
midp(skolemFOFtoCNF_P_1(X_4858,X_4857),X_4858,X_4857),
inference(subst,[],[refute_0_238:[bind(Q,$fot(X_4857)),bind(X_4844,$fot(X_4858))]]) ).
cnf(refute_0_240,plain,
cong(skolemFOFtoCNF_P_1(X_4858,X_4857),X_4858,skolemFOFtoCNF_P_1(X_4858,X_4857),X_4857),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_4858,X_4857),X_4858,X_4857) )],[refute_0_239,refute_0_21]) ).
cnf(refute_0_241,plain,
cong(skolemFOFtoCNF_P_1(X_9207,X_9206),X_9207,skolemFOFtoCNF_P_1(X_9207,X_9206),X_9206),
inference(subst,[],[refute_0_240:[bind(X_4857,$fot(X_9206)),bind(X_4858,$fot(X_9207))]]) ).
cnf(refute_0_242,plain,
cyclic(X_9207,X_9206,X_9206,X_9206),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_9207,X_9206),X_9207,skolemFOFtoCNF_P_1(X_9207,X_9206),X_9206) )],[refute_0_241,refute_0_19]) ).
cnf(refute_0_243,plain,
cyclic(X_9209,X_9208,X_9208,X_9208),
inference(subst,[],[refute_0_242:[bind(X_9206,$fot(X_9208)),bind(X_9207,$fot(X_9209))]]) ).
cnf(refute_0_244,plain,
cyclic(X_9208,X_9209,X_9208,X_9208),
inference(resolve,[$cnf( cyclic(X_9209,X_9208,X_9208,X_9208) )],[refute_0_243,refute_0_17]) ).
cnf(refute_0_245,plain,
cyclic(X_9210,X_9211,X_9210,X_9210),
inference(subst,[],[refute_0_244:[bind(X_9208,$fot(X_9210)),bind(X_9209,$fot(X_9211))]]) ).
cnf(refute_0_246,plain,
cyclic(X_9210,X_9210,X_9211,X_9210),
inference(resolve,[$cnf( cyclic(X_9210,X_9211,X_9210,X_9210) )],[refute_0_245,refute_0_15]) ).
cnf(refute_0_247,plain,
cyclic(X_9212,X_9212,X_9213,X_9212),
inference(subst,[],[refute_0_246:[bind(X_9210,$fot(X_9212)),bind(X_9211,$fot(X_9213))]]) ).
cnf(refute_0_248,plain,
cyclic(X_9212,X_9212,X_9212,X_9213),
inference(resolve,[$cnf( cyclic(X_9212,X_9212,X_9213,X_9212) )],[refute_0_247,refute_0_13]) ).
cnf(refute_0_249,plain,
cyclic(X_9214,X_9214,X_9214,X_9215),
inference(subst,[],[refute_0_248:[bind(X_9212,$fot(X_9214)),bind(X_9213,$fot(X_9215))]]) ).
cnf(refute_0_250,plain,
cyclic(X_9214,X_9214,X_9215,X_9215),
inference(resolve,[$cnf( cyclic(X_9214,X_9214,X_9214,X_9215) )],[refute_0_249,refute_0_11]) ).
cnf(refute_0_251,plain,
cyclic(X_9216,X_9216,X_9217,X_9217),
inference(subst,[],[refute_0_250:[bind(X_9214,$fot(X_9216)),bind(X_9215,$fot(X_9217))]]) ).
cnf(refute_0_252,plain,
( ~ cong(X_9216,X_9217,X_9216,X_9217)
| perp(X_9217,X_9216,X_9216,X_9217) ),
inference(resolve,[$cnf( cyclic(X_9216,X_9216,X_9217,X_9217) )],[refute_0_251,refute_0_9]) ).
cnf(refute_0_253,plain,
( ~ midp(X_4851,X_4850,X_4850)
| cong(X_4851,X_4850,X_4851,X_4850) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_4851)),bind(B,$fot(X_4850)),bind(C,$fot(X_4850))]]) ).
cnf(refute_0_254,plain,
( ~ midp(X_4838,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_4838,X_4742,X_4742) ),
inference(subst,[],[refute_0_65:[bind(X_4741,$fot(skolemFOFtoCNF_B_1)),bind(X_4743,$fot(X_4838))]]) ).
cnf(refute_0_255,plain,
midp(X_4838,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_233:[bind(X_4828,$fot(X_4838))]]) ).
cnf(refute_0_256,plain,
midp(X_4838,X_4742,X_4742),
inference(resolve,[$cnf( midp(X_4838,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_255,refute_0_254]) ).
cnf(refute_0_257,plain,
midp(X_4851,X_4850,X_4850),
inference(subst,[],[refute_0_256:[bind(X_4742,$fot(X_4850)),bind(X_4838,$fot(X_4851))]]) ).
cnf(refute_0_258,plain,
cong(X_4851,X_4850,X_4851,X_4850),
inference(resolve,[$cnf( midp(X_4851,X_4850,X_4850) )],[refute_0_257,refute_0_253]) ).
cnf(refute_0_259,plain,
cong(X_9216,X_9217,X_9216,X_9217),
inference(subst,[],[refute_0_258:[bind(X_4850,$fot(X_9217)),bind(X_4851,$fot(X_9216))]]) ).
cnf(refute_0_260,plain,
perp(X_9217,X_9216,X_9216,X_9217),
inference(resolve,[$cnf( cong(X_9216,X_9217,X_9216,X_9217) )],[refute_0_259,refute_0_252]) ).
cnf(refute_0_261,plain,
perp(X_9219,X_9218,X_9218,X_9219),
inference(subst,[],[refute_0_260:[bind(X_9216,$fot(X_9218)),bind(X_9217,$fot(X_9219))]]) ).
cnf(refute_0_262,plain,
( ~ midp(M,X_9219,X_9219)
| cong(X_9219,M,X_9218,M) ),
inference(resolve,[$cnf( perp(X_9219,X_9218,X_9218,X_9219) )],[refute_0_261,refute_0_7]) ).
cnf(refute_0_263,plain,
midp(M,X_9219,X_9219),
inference(subst,[],[refute_0_256:[bind(X_4742,$fot(X_9219)),bind(X_4838,$fot(M))]]) ).
cnf(refute_0_264,plain,
cong(X_9219,M,X_9218,M),
inference(resolve,[$cnf( midp(M,X_9219,X_9219) )],[refute_0_263,refute_0_262]) ).
cnf(refute_0_265,plain,
cong(X_9238,X_9236,X_9237,X_9236),
inference(subst,[],[refute_0_264:[bind(M,$fot(X_9236)),bind(X_9218,$fot(X_9237)),bind(X_9219,$fot(X_9238))]]) ).
cnf(refute_0_266,plain,
cong(X_9238,X_9236,X_9236,X_9237),
inference(resolve,[$cnf( cong(X_9238,X_9236,X_9237,X_9236) )],[refute_0_265,refute_0_5]) ).
cnf(refute_0_267,plain,
cong(X_9241,X_9239,X_9239,X_9240),
inference(subst,[],[refute_0_266:[bind(X_9236,$fot(X_9239)),bind(X_9237,$fot(X_9240)),bind(X_9238,$fot(X_9241))]]) ).
cnf(refute_0_268,plain,
cong(X_9239,X_9240,X_9241,X_9239),
inference(resolve,[$cnf( cong(X_9241,X_9239,X_9239,X_9240) )],[refute_0_267,refute_0_4]) ).
cnf(refute_0_269,plain,
cong(X_9262,X_9263,X_9264,X_9262),
inference(subst,[],[refute_0_268:[bind(X_9239,$fot(X_9262)),bind(X_9240,$fot(X_9263)),bind(X_9241,$fot(X_9264))]]) ).
cnf(refute_0_270,plain,
cong(X_9262,X_9263,X_9262,X_9264),
inference(resolve,[$cnf( cong(X_9262,X_9263,X_9264,X_9262) )],[refute_0_269,refute_0_2]) ).
cnf(refute_0_271,plain,
cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_S,skolemFOFtoCNF_O_2,skolemFOFtoCNF_R_1),
inference(subst,[],[refute_0_270:[bind(X_9262,$fot(skolemFOFtoCNF_O_2)),bind(X_9263,$fot(skolemFOFtoCNF_S)),bind(X_9264,$fot(skolemFOFtoCNF_R_1))]]) ).
cnf(refute_0_272,plain,
$false,
inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_S,skolemFOFtoCNF_O_2,skolemFOFtoCNF_R_1) )],[refute_0_271,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO587+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 03:16:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 80.22/80.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 80.22/80.41
% 80.22/80.41 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 80.22/80.44
%------------------------------------------------------------------------------