%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO651+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.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 05:28:04 EDT 2022
% Result : Theorem 95.88s 96.03s
% Output : CNFRefutation 95.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 91
% Number of leaves : 29
% Syntax : Number of formulae : 451 ( 183 unt; 0 def)
% Number of atoms : 882 ( 0 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 760 ( 329 ~; 324 |; 76 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-3 aty)
% Number of variables : 834 ( 68 sgn 420 !; 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(ruleD25,axiom,
! [A,B,C,D,E,F] :
( ( cong(A,B,C,D)
& cong(C,D,E,F) )
=> cong(A,B,E,F) ) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ) ).
fof(ruleD53,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(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(exemplo6GDDFULLmoreE02212,conjecture,
! [A,B,C,D,E,F,MIDPNT1,MIDPNT2,MIDPNT3] :
( ( coll(D,A,B)
& eqangle(A,C,C,D,D,C,C,B)
& midp(MIDPNT1,A,B)
& perp(A,B,MIDPNT1,E)
& midp(MIDPNT2,A,C)
& perp(A,C,MIDPNT2,E)
& midp(MIDPNT3,B,C)
& perp(B,C,MIDPNT3,E)
& perp(C,E,C,F)
& para(A,C,F,D) )
=> cong(C,F,D,B) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E,F,MIDPNT1,MIDPNT2,MIDPNT3] :
( ( coll(D,A,B)
& eqangle(A,C,C,D,D,C,C,B)
& midp(MIDPNT1,A,B)
& perp(A,B,MIDPNT1,E)
& midp(MIDPNT2,A,C)
& perp(A,C,MIDPNT2,E)
& midp(MIDPNT3,B,C)
& perp(B,C,MIDPNT3,E)
& perp(C,E,C,F)
& para(A,C,F,D) )
=> cong(C,F,D,B) ),
inference(strip,[],[exemplo6GDDFULLmoreE02212]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E,F,MIDPNT1,MIDPNT2,MIDPNT3] :
( ( coll(D,A,B)
& eqangle(A,C,C,D,D,C,C,B)
& midp(MIDPNT1,A,B)
& perp(A,B,MIDPNT1,E)
& midp(MIDPNT2,A,C)
& perp(A,C,MIDPNT2,E)
& midp(MIDPNT3,B,C)
& perp(B,C,MIDPNT3,E)
& perp(C,E,C,F)
& para(A,C,F,D) )
=> cong(C,F,D,B) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F,MIDPNT1,MIDPNT2,MIDPNT3] :
( ~ cong(C,F,D,B)
& coll(D,A,B)
& eqangle(A,C,C,D,D,C,C,B)
& midp(MIDPNT1,A,B)
& midp(MIDPNT2,A,C)
& midp(MIDPNT3,B,C)
& para(A,C,F,D)
& perp(A,B,MIDPNT1,E)
& perp(A,C,MIDPNT2,E)
& perp(B,C,MIDPNT3,E)
& perp(C,E,C,F) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1)
& coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_D)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_E)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_E)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_E)
& perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_4,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_6,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_8,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_10,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[ruleD52]) ).
fof(normalize_0_12,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,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_14,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_13]) ).
fof(normalize_0_15,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_16,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_15]) ).
fof(normalize_0_17,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_18,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_20,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_22,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,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_24,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_23]) ).
fof(normalize_0_25,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_26,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,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_28,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_27]) ).
fof(normalize_0_29,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_28]) ).
fof(normalize_0_30,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_31,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_33,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_35,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD39]) ).
fof(normalize_0_37,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [A,B,C,D,P,Q] :
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(clausify,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_40,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_41,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_40]) ).
fof(normalize_0_42,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_43,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_42]) ).
fof(normalize_0_44,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_43]) ).
fof(normalize_0_45,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_46,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_45]) ).
fof(normalize_0_47,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_48,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_47]) ).
fof(normalize_0_49,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_50,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_49]) ).
fof(normalize_0_51,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_52,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_51]) ).
fof(normalize_0_53,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[ruleD12]) ).
fof(normalize_0_54,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_53]) ).
fof(normalize_0_55,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_56,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_55]) ).
fof(normalize_0_57,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_58,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_57]) ).
fof(normalize_0_59,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F),
inference(conjunct,[],[normalize_0_1]) ).
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(canonicalize,[],[ruleX10]) ).
fof(normalize_0_61,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_60]) ).
fof(normalize_0_62,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_61]) ).
fof(normalize_0_63,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(conjunct,[],[normalize_0_62]) ).
fof(normalize_0_64,plain,
midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_65,plain,
! [A,B,C,D,E,F] :
( ~ cong(A,B,C,D)
| ~ cong(C,D,E,F)
| cong(A,B,E,F) ),
inference(canonicalize,[],[ruleD25]) ).
fof(normalize_0_66,plain,
! [A,B,C,D,E,F] :
( ~ cong(A,B,C,D)
| ~ cong(C,D,E,F)
| cong(A,B,E,F) ),
inference(specialize,[],[normalize_0_65]) ).
cnf(refute_0_0,plain,
~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_3,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F)
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_5,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F)
| ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F)
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_7,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_6290,skolemFOFtoCNF_F,X_6290)
| cong(skolemFOFtoCNF_C_1,X_6290,X_6290,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_6290)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_6290))]]) ).
cnf(refute_0_9,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ midp(M,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_C_1,M,skolemFOFtoCNF_F,M) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_11,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_14]) ).
cnf(refute_0_12,plain,
( ~ cong(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1)
| ~ cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(P,$fot(skolemFOFtoCNF_C_1)),bind(Q,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_13,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_14,plain,
( ~ cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1)
| cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(E,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_15,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_16,plain,
( ~ cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F)
| cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_17,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_18,plain,
( ~ cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F)
| cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_19,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_20,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_F)
| cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_21,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_22,plain,
( ~ cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_F)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F)),bind(O,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_23,plain,
( ~ cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F))
| cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F))),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_24,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_25,plain,
( ~ cong(skolemFOFtoCNF_F,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F)) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F))),bind(C,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F))),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_26,plain,
( ~ cong(skolemFOFtoCNF_F,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F))
| cong(skolemFOFtoCNF_F,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F))),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_27,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_5368,X_5367),X_5368,X_5367)
| midp(skolemFOFtoCNF_P_1(X_5368,X_5367),X_5367,X_5368) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_5367)),bind(B,$fot(X_5368)),bind(M,$fot(skolemFOFtoCNF_P_1(X_5368,X_5367)))]]) ).
cnf(refute_0_28,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_29,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_30,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_31,plain,
( ~ coll(X_614,X_613,X_614)
| coll(X_614,X_614,X_613) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(X_614)),bind(B,$fot(X_613)),bind(C,$fot(X_614))]]) ).
cnf(refute_0_32,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_33,plain,
( ~ coll(X_611,X_612,X_612)
| coll(X_612,X_611,X_612) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(X_611)),bind(B,$fot(X_612)),bind(C,$fot(X_612))]]) ).
cnf(refute_0_34,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_35,plain,
( ~ para(X_609,X_610,X_609,X_610)
| coll(X_609,X_610,X_610) ),
inference(subst,[],[refute_0_34:[bind(A,$fot(X_609)),bind(B,$fot(X_610)),bind(C,$fot(X_610))]]) ).
cnf(refute_0_36,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_37,plain,
( ~ eqangle(X_607,X_608,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_607,X_608,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_607,X_608,X_607,X_608) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_607)),bind(B,$fot(X_608)),bind(C,$fot(X_607)),bind(D,$fot(X_608)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_38,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_39,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_40,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_41,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_42,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_44,plain,
cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) )],[refute_0_44,refute_0_39]) ).
cnf(refute_0_46,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_45,refute_0_38]) ).
cnf(refute_0_47,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_48,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_47:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_49,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_46,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_36:[bind(A,$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,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_51,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_53,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_52:[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_54,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_51,refute_0_53]) ).
cnf(refute_0_55,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_605,X_606,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_605,X_606),
inference(subst,[],[refute_0_54:[bind(X_153,$fot(X_605)),bind(X_154,$fot(X_606))]]) ).
cnf(refute_0_56,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_57,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_605,X_606,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_605,X_606)
| eqangle(X_605,X_606,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_605,X_606,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_56:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_605)),bind(D,$fot(X_606)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_605)),bind(V,$fot(X_606))]]) ).
cnf(refute_0_58,plain,
eqangle(X_605,X_606,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_605,X_606,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_605,X_606,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_605,X_606) )],[refute_0_55,refute_0_57]) ).
cnf(refute_0_59,plain,
eqangle(X_607,X_608,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_607,X_608,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_58:[bind(X_605,$fot(X_607)),bind(X_606,$fot(X_608))]]) ).
cnf(refute_0_60,plain,
para(X_607,X_608,X_607,X_608),
inference(resolve,[$cnf( eqangle(X_607,X_608,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_607,X_608,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_59,refute_0_37]) ).
cnf(refute_0_61,plain,
para(X_609,X_610,X_609,X_610),
inference(subst,[],[refute_0_60:[bind(X_607,$fot(X_609)),bind(X_608,$fot(X_610))]]) ).
cnf(refute_0_62,plain,
coll(X_609,X_610,X_610),
inference(resolve,[$cnf( para(X_609,X_610,X_609,X_610) )],[refute_0_61,refute_0_35]) ).
cnf(refute_0_63,plain,
coll(X_611,X_612,X_612),
inference(subst,[],[refute_0_62:[bind(X_609,$fot(X_611)),bind(X_610,$fot(X_612))]]) ).
cnf(refute_0_64,plain,
coll(X_612,X_611,X_612),
inference(resolve,[$cnf( coll(X_611,X_612,X_612) )],[refute_0_63,refute_0_33]) ).
cnf(refute_0_65,plain,
coll(X_614,X_613,X_614),
inference(subst,[],[refute_0_64:[bind(X_611,$fot(X_613)),bind(X_612,$fot(X_614))]]) ).
cnf(refute_0_66,plain,
coll(X_614,X_614,X_613),
inference(resolve,[$cnf( coll(X_614,X_613,X_614) )],[refute_0_65,refute_0_31]) ).
cnf(refute_0_67,plain,
coll(D,D,D),
inference(subst,[],[refute_0_66:[bind(X_613,$fot(D)),bind(X_614,$fot(D))]]) ).
cnf(refute_0_68,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_67,refute_0_29]) ).
cnf(refute_0_69,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,X_5341,X_5341)
| midp(skolemFOFtoCNF_P_1(X_5341,Q),X_5341,Q) ),
inference(subst,[],[refute_0_68:[bind(D,$fot(X_5341)),bind(N,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_70,plain,
para(X_5278,X_5279,X_5278,X_5279),
inference(subst,[],[refute_0_60:[bind(X_607,$fot(X_5278)),bind(X_608,$fot(X_5279))]]) ).
cnf(refute_0_71,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_72,plain,
( ~ midp(X_5280,X_5278,X_5278)
| ~ para(X_5278,X_5279,X_5278,X_5279)
| midp(X_5280,X_5279,X_5279) ),
inference(subst,[],[refute_0_71:[bind(A,$fot(X_5278)),bind(B,$fot(X_5278)),bind(C,$fot(X_5279)),bind(D,$fot(X_5279)),bind(M,$fot(X_5280))]]) ).
cnf(refute_0_73,plain,
( ~ midp(X_5280,X_5278,X_5278)
| midp(X_5280,X_5279,X_5279) ),
inference(resolve,[$cnf( para(X_5278,X_5279,X_5278,X_5279) )],[refute_0_70,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_MIDPNT1,X_5279,X_5279) ),
inference(subst,[],[refute_0_73:[bind(X_5278,$fot(skolemFOFtoCNF_A)),bind(X_5280,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_75,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_76,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1)
| cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_77,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_78,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_79,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_80,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_81,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_82,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_83,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_84,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A)
| circle(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_85,plain,
circle(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) )],[refute_0_44,refute_0_84]) ).
cnf(refute_0_86,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_87,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_88,plain,
( ~ coll(X_3810,skolemFOFtoCNF_C_1,C)
| ~ coll(X_3810,skolemFOFtoCNF_C_1,X_3811)
| coll(C,X_3811,X_3810) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(X_3810)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3811))]]) ).
cnf(refute_0_89,plain,
( ~ coll(X_3767,skolemFOFtoCNF_E,C)
| ~ coll(X_3767,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,X_3767) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(X_3767)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_90,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_3763,C)
| ~ coll(skolemFOFtoCNF_C_1,X_3763,skolemFOFtoCNF_E)
| coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3763)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_91,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E))),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_92,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E))),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_93,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E))),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_94,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_95,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_96,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_98,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_97:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_E)),bind(H,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_99,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_96,refute_0_98]) ).
cnf(refute_0_100,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_99,refute_0_93]) ).
cnf(refute_0_101,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_100,refute_0_92]) ).
cnf(refute_0_102,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),skolemFOFtoCNF_E) )],[refute_0_101,refute_0_91]) ).
cnf(refute_0_103,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3757)
| ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_3757,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3757))]]) ).
cnf(refute_0_104,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3757)
| coll(skolemFOFtoCNF_C_1,X_3757,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3757),
inference(subst,[],[refute_0_66:[bind(X_613,$fot(X_3757)),bind(X_614,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_106,plain,
coll(skolemFOFtoCNF_C_1,X_3757,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_3757) )],[refute_0_105,refute_0_104]) ).
cnf(refute_0_107,plain,
coll(skolemFOFtoCNF_C_1,X_3763,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_106:[bind(X_3757,$fot(X_3763))]]) ).
cnf(refute_0_108,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_3763,C)
| coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_3763,skolemFOFtoCNF_E) )],[refute_0_107,refute_0_90]) ).
cnf(refute_0_109,plain,
( ~ coll(X_611,X_612,X_612)
| coll(X_612,X_612,X_611) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(X_611)),bind(B,$fot(X_612)),bind(C,$fot(X_612)),bind(D,$fot(X_612))]]) ).
cnf(refute_0_110,plain,
coll(X_612,X_612,X_611),
inference(resolve,[$cnf( coll(X_611,X_612,X_612) )],[refute_0_63,refute_0_109]) ).
cnf(refute_0_111,plain,
coll(X_3755,X_3755,X_3756),
inference(subst,[],[refute_0_110:[bind(X_611,$fot(X_3756)),bind(X_612,$fot(X_3755))]]) ).
cnf(refute_0_112,plain,
( ~ coll(X_3755,X_3755,X_3756)
| ~ coll(X_3755,X_3755,X_3757)
| coll(X_3756,X_3757,X_3755) ),
inference(subst,[],[refute_0_87:[bind(A,$fot(X_3755)),bind(B,$fot(X_3755)),bind(C,$fot(X_3756)),bind(D,$fot(X_3757))]]) ).
cnf(refute_0_113,plain,
( ~ coll(X_3755,X_3755,X_3757)
| coll(X_3756,X_3757,X_3755) ),
inference(resolve,[$cnf( coll(X_3755,X_3755,X_3756) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
coll(X_3755,X_3755,X_3757),
inference(subst,[],[refute_0_66:[bind(X_613,$fot(X_3757)),bind(X_614,$fot(X_3755))]]) ).
cnf(refute_0_115,plain,
coll(X_3756,X_3757,X_3755),
inference(resolve,[$cnf( coll(X_3755,X_3755,X_3757) )],[refute_0_114,refute_0_113]) ).
cnf(refute_0_116,plain,
coll(skolemFOFtoCNF_C_1,X_3763,C),
inference(subst,[],[refute_0_115:[bind(X_3755,$fot(C)),bind(X_3756,$fot(skolemFOFtoCNF_C_1)),bind(X_3757,$fot(X_3763))]]) ).
cnf(refute_0_117,plain,
coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_3763,C) )],[refute_0_116,refute_0_108]) ).
cnf(refute_0_118,plain,
coll(X_3767,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_117:[bind(C,$fot(X_3767))]]) ).
cnf(refute_0_119,plain,
( ~ coll(X_3767,skolemFOFtoCNF_E,C)
| coll(C,skolemFOFtoCNF_C_1,X_3767) ),
inference(resolve,[$cnf( coll(X_3767,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_118,refute_0_89]) ).
cnf(refute_0_120,plain,
coll(X_3767,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_115:[bind(X_3755,$fot(C)),bind(X_3756,$fot(X_3767)),bind(X_3757,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_121,plain,
coll(C,skolemFOFtoCNF_C_1,X_3767),
inference(resolve,[$cnf( coll(X_3767,skolemFOFtoCNF_E,C) )],[refute_0_120,refute_0_119]) ).
cnf(refute_0_122,plain,
coll(X_3810,skolemFOFtoCNF_C_1,X_3811),
inference(subst,[],[refute_0_121:[bind(C,$fot(X_3810)),bind(X_3767,$fot(X_3811))]]) ).
cnf(refute_0_123,plain,
( ~ coll(X_3810,skolemFOFtoCNF_C_1,C)
| coll(C,X_3811,X_3810) ),
inference(resolve,[$cnf( coll(X_3810,skolemFOFtoCNF_C_1,X_3811) )],[refute_0_122,refute_0_88]) ).
cnf(refute_0_124,plain,
coll(X_3810,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_115:[bind(X_3755,$fot(C)),bind(X_3756,$fot(X_3810)),bind(X_3757,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_125,plain,
coll(C,X_3811,X_3810),
inference(resolve,[$cnf( coll(X_3810,skolemFOFtoCNF_C_1,C) )],[refute_0_124,refute_0_123]) ).
cnf(refute_0_126,plain,
coll(O,A,C),
inference(subst,[],[refute_0_125:[bind(C,$fot(O)),bind(X_3810,$fot(C)),bind(X_3811,$fot(A))]]) ).
cnf(refute_0_127,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_126,refute_0_86]) ).
cnf(refute_0_128,plain,
( ~ circle(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_127:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_129,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_85,refute_0_128]) ).
cnf(refute_0_130,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_129,refute_0_82]) ).
cnf(refute_0_131,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_130,refute_0_80]) ).
cnf(refute_0_132,plain,
( ~ midp(X_5336,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_A,X_5336,skolemFOFtoCNF_A,X_5336) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(X_5336))]]) ).
cnf(refute_0_133,plain,
( ~ midp(X_5336,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_A,X_5336,skolemFOFtoCNF_A,X_5336) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_133:[bind(X_5336,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_135,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_40,refute_0_134]) ).
cnf(refute_0_136,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) )],[refute_0_135,refute_0_78]) ).
cnf(refute_0_137,plain,
cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) )],[refute_0_136,refute_0_77]) ).
cnf(refute_0_138,plain,
cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) )],[refute_0_137,refute_0_76]) ).
cnf(refute_0_139,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) )],[refute_0_138,refute_0_75]) ).
cnf(refute_0_140,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_125:[bind(C,$fot(skolemFOFtoCNF_MIDPNT1)),bind(X_3810,$fot(skolemFOFtoCNF_A)),bind(X_3811,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_141,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_140,refute_0_139]) ).
cnf(refute_0_142,plain,
midp(skolemFOFtoCNF_MIDPNT1,X_5279,X_5279),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_141,refute_0_74]) ).
cnf(refute_0_143,plain,
midp(skolemFOFtoCNF_MIDPNT1,X_5341,X_5341),
inference(subst,[],[refute_0_142:[bind(X_5279,$fot(X_5341))]]) ).
cnf(refute_0_144,plain,
midp(skolemFOFtoCNF_P_1(X_5341,Q),X_5341,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,X_5341,X_5341) )],[refute_0_143,refute_0_69]) ).
cnf(refute_0_145,plain,
midp(skolemFOFtoCNF_P_1(X_5368,X_5367),X_5368,X_5367),
inference(subst,[],[refute_0_144:[bind(Q,$fot(X_5367)),bind(X_5341,$fot(X_5368))]]) ).
cnf(refute_0_146,plain,
midp(skolemFOFtoCNF_P_1(X_5368,X_5367),X_5367,X_5368),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_5368,X_5367),X_5368,X_5367) )],[refute_0_145,refute_0_27]) ).
cnf(refute_0_147,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_146:[bind(X_5367,$fot(skolemFOFtoCNF_F)),bind(X_5368,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_148,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_149,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) )],[refute_0_94,refute_0_148]) ).
cnf(refute_0_150,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_151,plain,
perp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
( ~ midp(X_5336,skolemFOFtoCNF_F,skolemFOFtoCNF_E)
| ~ perp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| cong(skolemFOFtoCNF_F,X_5336,skolemFOFtoCNF_C_1,X_5336) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_E)),bind(M,$fot(X_5336))]]) ).
cnf(refute_0_153,plain,
( ~ midp(X_5336,skolemFOFtoCNF_F,skolemFOFtoCNF_E)
| cong(skolemFOFtoCNF_F,X_5336,skolemFOFtoCNF_C_1,X_5336) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_E)
| cong(skolemFOFtoCNF_F,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F)) ),
inference(subst,[],[refute_0_153:[bind(X_5336,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F)))]]) ).
cnf(refute_0_155,plain,
cong(skolemFOFtoCNF_F,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F)),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_F,skolemFOFtoCNF_E) )],[refute_0_147,refute_0_154]) ).
cnf(refute_0_156,plain,
cong(skolemFOFtoCNF_F,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F)) )],[refute_0_155,refute_0_26]) ).
cnf(refute_0_157,plain,
cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_C_1) )],[refute_0_156,refute_0_25]) ).
cnf(refute_0_158,plain,
cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_F),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F)) )],[refute_0_157,refute_0_23]) ).
cnf(refute_0_159,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_F),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_E,skolemFOFtoCNF_F),skolemFOFtoCNF_F) )],[refute_0_158,refute_0_22]) ).
cnf(refute_0_160,plain,
cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_F) )],[refute_0_159,refute_0_20]) ).
cnf(refute_0_161,plain,
cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F) )],[refute_0_160,refute_0_18]) ).
cnf(refute_0_162,plain,
cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) )],[refute_0_161,refute_0_16]) ).
cnf(refute_0_163,plain,
cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) )],[refute_0_162,refute_0_14]) ).
cnf(refute_0_164,plain,
( ~ cong(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_163,refute_0_12]) ).
cnf(refute_0_165,plain,
( ~ midp(X_5466,X_5465,X_5465)
| cong(X_5466,X_5465,X_5466,X_5465) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_5466)),bind(B,$fot(X_5465)),bind(C,$fot(X_5465))]]) ).
cnf(refute_0_166,plain,
( ~ midp(X_5356,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_5356,X_5279,X_5279) ),
inference(subst,[],[refute_0_73:[bind(X_5278,$fot(skolemFOFtoCNF_A)),bind(X_5280,$fot(X_5356))]]) ).
cnf(refute_0_167,plain,
( ~ coll(X_5355,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ cong(X_5355,skolemFOFtoCNF_A,X_5355,skolemFOFtoCNF_A)
| midp(X_5355,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_5355)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_168,plain,
( ~ cong(X_5352,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_5352)
| cong(X_5352,skolemFOFtoCNF_A,X_5352,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_5352)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_5352))]]) ).
cnf(refute_0_169,plain,
( ~ cong(skolemFOFtoCNF_A,X_5347,X_5347,skolemFOFtoCNF_A)
| cong(X_5347,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_5347) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_5347)),bind(C,$fot(X_5347)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_170,plain,
( ~ cong(skolemFOFtoCNF_A,X_5343,skolemFOFtoCNF_A,X_5343)
| cong(skolemFOFtoCNF_A,X_5343,X_5343,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_5343)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_5343))]]) ).
cnf(refute_0_171,plain,
( ~ midp(skolemFOFtoCNF_A,X_5340,X_5340)
| cong(skolemFOFtoCNF_A,X_5340,skolemFOFtoCNF_A,X_5340) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_5340)),bind(C,$fot(X_5340))]]) ).
cnf(refute_0_172,plain,
( ~ midp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)
| midp(skolemFOFtoCNF_A,X_5279,X_5279) ),
inference(subst,[],[refute_0_73:[bind(X_5278,$fot(skolemFOFtoCNF_MIDPNT1)),bind(X_5280,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_173,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)
| ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1)
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_174,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) )],[refute_0_135,refute_0_173]) ).
cnf(refute_0_175,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),
inference(subst,[],[refute_0_125:[bind(C,$fot(skolemFOFtoCNF_A)),bind(X_3810,$fot(skolemFOFtoCNF_MIDPNT1)),bind(X_3811,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_176,plain,
midp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1) )],[refute_0_175,refute_0_174]) ).
cnf(refute_0_177,plain,
midp(skolemFOFtoCNF_A,X_5279,X_5279),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1) )],[refute_0_176,refute_0_172]) ).
cnf(refute_0_178,plain,
midp(skolemFOFtoCNF_A,X_5340,X_5340),
inference(subst,[],[refute_0_177:[bind(X_5279,$fot(X_5340))]]) ).
cnf(refute_0_179,plain,
cong(skolemFOFtoCNF_A,X_5340,skolemFOFtoCNF_A,X_5340),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,X_5340,X_5340) )],[refute_0_178,refute_0_171]) ).
cnf(refute_0_180,plain,
cong(skolemFOFtoCNF_A,X_5343,skolemFOFtoCNF_A,X_5343),
inference(subst,[],[refute_0_179:[bind(X_5340,$fot(X_5343))]]) ).
cnf(refute_0_181,plain,
cong(skolemFOFtoCNF_A,X_5343,X_5343,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_5343,skolemFOFtoCNF_A,X_5343) )],[refute_0_180,refute_0_170]) ).
cnf(refute_0_182,plain,
cong(skolemFOFtoCNF_A,X_5347,X_5347,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_181:[bind(X_5343,$fot(X_5347))]]) ).
cnf(refute_0_183,plain,
cong(X_5347,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_5347),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_5347,X_5347,skolemFOFtoCNF_A) )],[refute_0_182,refute_0_169]) ).
cnf(refute_0_184,plain,
cong(X_5352,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_5352),
inference(subst,[],[refute_0_183:[bind(X_5347,$fot(X_5352))]]) ).
cnf(refute_0_185,plain,
cong(X_5352,skolemFOFtoCNF_A,X_5352,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(X_5352,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_5352) )],[refute_0_184,refute_0_168]) ).
cnf(refute_0_186,plain,
cong(X_5355,skolemFOFtoCNF_A,X_5355,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_185:[bind(X_5352,$fot(X_5355))]]) ).
cnf(refute_0_187,plain,
( ~ coll(X_5355,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_5355,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( cong(X_5355,skolemFOFtoCNF_A,X_5355,skolemFOFtoCNF_A) )],[refute_0_186,refute_0_167]) ).
cnf(refute_0_188,plain,
coll(X_5355,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_125:[bind(C,$fot(X_5355)),bind(X_3810,$fot(skolemFOFtoCNF_A)),bind(X_3811,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_189,plain,
midp(X_5355,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(X_5355,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_188,refute_0_187]) ).
cnf(refute_0_190,plain,
midp(X_5356,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_189:[bind(X_5355,$fot(X_5356))]]) ).
cnf(refute_0_191,plain,
midp(X_5356,X_5279,X_5279),
inference(resolve,[$cnf( midp(X_5356,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_190,refute_0_166]) ).
cnf(refute_0_192,plain,
midp(X_5466,X_5465,X_5465),
inference(subst,[],[refute_0_191:[bind(X_5279,$fot(X_5465)),bind(X_5356,$fot(X_5466))]]) ).
cnf(refute_0_193,plain,
cong(X_5466,X_5465,X_5466,X_5465),
inference(resolve,[$cnf( midp(X_5466,X_5465,X_5465) )],[refute_0_192,refute_0_165]) ).
cnf(refute_0_194,plain,
cong(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_193:[bind(X_5465,$fot(skolemFOFtoCNF_C_1)),bind(X_5466,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_195,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) )],[refute_0_194,refute_0_164]) ).
cnf(refute_0_196,plain,
( ~ midp(M,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_C_1,M,skolemFOFtoCNF_F,M) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) )],[refute_0_195,refute_0_10]) ).
cnf(refute_0_197,plain,
( ~ midp(X_5401,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(X_5401,X_5279,X_5279) ),
inference(subst,[],[refute_0_73:[bind(X_5278,$fot(skolemFOFtoCNF_C_1)),bind(X_5280,$fot(X_5401))]]) ).
cnf(refute_0_198,plain,
( ~ coll(X_5400,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| ~ cong(X_5400,skolemFOFtoCNF_C_1,X_5400,skolemFOFtoCNF_C_1)
| midp(X_5400,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_5400)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_199,plain,
( ~ cong(X_5398,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_5398)
| cong(X_5398,skolemFOFtoCNF_C_1,X_5398,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_5398)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_5398))]]) ).
cnf(refute_0_200,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_5395,X_5395,skolemFOFtoCNF_C_1)
| cong(X_5395,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_5395) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_5395)),bind(C,$fot(X_5395)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_201,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_5394,skolemFOFtoCNF_C_1,X_5394)
| cong(skolemFOFtoCNF_C_1,X_5394,X_5394,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_5394)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_5394))]]) ).
cnf(refute_0_202,plain,
( ~ midp(skolemFOFtoCNF_C_1,X_5392,X_5392)
| cong(skolemFOFtoCNF_C_1,X_5392,skolemFOFtoCNF_C_1,X_5392) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_5392)),bind(C,$fot(X_5392))]]) ).
cnf(refute_0_203,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| midp(skolemFOFtoCNF_C_1,X_5279,X_5279) ),
inference(subst,[],[refute_0_73:[bind(X_5278,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(X_5280,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_204,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(C,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_205,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_C_1)),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,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_206,plain,
( ~ cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_207,plain,
( ~ cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_208,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_209,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_210,plain,
midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_211,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_212,plain,
midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_214,plain,
cong(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) )],[refute_0_214,refute_0_209]) ).
cnf(refute_0_216,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_47:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_217,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_219,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
( ~ midp(X_5280,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(X_5280,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_71:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(X_5280))]]) ).
cnf(refute_0_221,plain,
( ~ midp(X_5280,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_5280,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,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_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_221:[bind(X_5280,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_223,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_144:[bind(Q,$fot(skolemFOFtoCNF_B_1)),bind(X_5341,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_224,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_223,refute_0_222]) ).
cnf(refute_0_225,plain,
cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_224,refute_0_208]) ).
cnf(refute_0_226,plain,
cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1) )],[refute_0_225,refute_0_207]) ).
cnf(refute_0_227,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) )],[refute_0_226,refute_0_206]) ).
cnf(refute_0_228,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1) )],[refute_0_227,refute_0_205]) ).
cnf(refute_0_229,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) )],[refute_0_228,refute_0_204]) ).
cnf(refute_0_230,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)),
inference(subst,[],[refute_0_125:[bind(C,$fot(skolemFOFtoCNF_C_1)),bind(X_3810,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1))),bind(X_3811,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_231,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) )],[refute_0_230,refute_0_229]) ).
cnf(refute_0_232,plain,
midp(skolemFOFtoCNF_C_1,X_5279,X_5279),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)) )],[refute_0_231,refute_0_203]) ).
cnf(refute_0_233,plain,
midp(skolemFOFtoCNF_C_1,X_5392,X_5392),
inference(subst,[],[refute_0_232:[bind(X_5279,$fot(X_5392))]]) ).
cnf(refute_0_234,plain,
cong(skolemFOFtoCNF_C_1,X_5392,skolemFOFtoCNF_C_1,X_5392),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,X_5392,X_5392) )],[refute_0_233,refute_0_202]) ).
cnf(refute_0_235,plain,
cong(skolemFOFtoCNF_C_1,X_5394,skolemFOFtoCNF_C_1,X_5394),
inference(subst,[],[refute_0_234:[bind(X_5392,$fot(X_5394))]]) ).
cnf(refute_0_236,plain,
cong(skolemFOFtoCNF_C_1,X_5394,X_5394,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_5394,skolemFOFtoCNF_C_1,X_5394) )],[refute_0_235,refute_0_201]) ).
cnf(refute_0_237,plain,
cong(skolemFOFtoCNF_C_1,X_5395,X_5395,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_236:[bind(X_5394,$fot(X_5395))]]) ).
cnf(refute_0_238,plain,
cong(X_5395,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_5395),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_5395,X_5395,skolemFOFtoCNF_C_1) )],[refute_0_237,refute_0_200]) ).
cnf(refute_0_239,plain,
cong(X_5398,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_5398),
inference(subst,[],[refute_0_238:[bind(X_5395,$fot(X_5398))]]) ).
cnf(refute_0_240,plain,
cong(X_5398,skolemFOFtoCNF_C_1,X_5398,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(X_5398,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_5398) )],[refute_0_239,refute_0_199]) ).
cnf(refute_0_241,plain,
cong(X_5400,skolemFOFtoCNF_C_1,X_5400,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_240:[bind(X_5398,$fot(X_5400))]]) ).
cnf(refute_0_242,plain,
( ~ coll(X_5400,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(X_5400,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( cong(X_5400,skolemFOFtoCNF_C_1,X_5400,skolemFOFtoCNF_C_1) )],[refute_0_241,refute_0_198]) ).
cnf(refute_0_243,plain,
coll(X_5400,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_125:[bind(C,$fot(X_5400)),bind(X_3810,$fot(skolemFOFtoCNF_C_1)),bind(X_3811,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_244,plain,
midp(X_5400,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(X_5400,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_243,refute_0_242]) ).
cnf(refute_0_245,plain,
midp(X_5401,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_244:[bind(X_5400,$fot(X_5401))]]) ).
cnf(refute_0_246,plain,
midp(X_5401,X_5279,X_5279),
inference(resolve,[$cnf( midp(X_5401,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_245,refute_0_197]) ).
cnf(refute_0_247,plain,
midp(M,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_246:[bind(X_5279,$fot(skolemFOFtoCNF_C_1)),bind(X_5401,$fot(M))]]) ).
cnf(refute_0_248,plain,
cong(skolemFOFtoCNF_C_1,M,skolemFOFtoCNF_F,M),
inference(resolve,[$cnf( midp(M,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_247,refute_0_196]) ).
cnf(refute_0_249,plain,
cong(skolemFOFtoCNF_C_1,X_6290,skolemFOFtoCNF_F,X_6290),
inference(subst,[],[refute_0_248:[bind(M,$fot(X_6290))]]) ).
cnf(refute_0_250,plain,
cong(skolemFOFtoCNF_C_1,X_6290,X_6290,skolemFOFtoCNF_F),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_6290,skolemFOFtoCNF_F,X_6290) )],[refute_0_249,refute_0_8]) ).
cnf(refute_0_251,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_250:[bind(X_6290,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_252,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F)
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) )],[refute_0_251,refute_0_6]) ).
cnf(refute_0_253,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_125:[bind(C,$fot(skolemFOFtoCNF_C_1)),bind(X_3810,$fot(skolemFOFtoCNF_F)),bind(X_3811,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_254,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) )],[refute_0_253,refute_0_252]) ).
cnf(refute_0_255,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) )],[refute_0_254,refute_0_4]) ).
cnf(refute_0_256,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) )],[refute_0_255,refute_0_2]) ).
cnf(refute_0_257,plain,
( ~ cong(A,B,C,D)
| ~ cong(C,D,E,F)
| cong(A,B,E,F) ),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_258,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_15145,X_15146)
| ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,X_15145,X_15146) ),
inference(subst,[],[refute_0_257:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(E,$fot(X_15145)),bind(F,$fot(X_15146))]]) ).
cnf(refute_0_259,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_15145,X_15146)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,X_15145,X_15146) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_256,refute_0_258]) ).
cnf(refute_0_260,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_15254,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,X_15254,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_259:[bind(X_15145,$fot(X_15254)),bind(X_15146,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_261,plain,
( ~ cong(X_15252,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_15252,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_15252)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_262,plain,
( ~ midp(M,X_7165,X_7165)
| ~ perp(X_7165,X_7164,X_7164,X_7165)
| cong(X_7165,M,X_7164,M) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_7165)),bind(B,$fot(X_7164)),bind(C,$fot(X_7165))]]) ).
cnf(refute_0_263,plain,
( ~ cong(X_7162,X_7163,X_7162,X_7163)
| ~ cyclic(X_7162,X_7162,X_7163,X_7163)
| perp(X_7163,X_7162,X_7162,X_7163) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_7162)),bind(B,$fot(X_7162)),bind(P,$fot(X_7163)),bind(Q,$fot(X_7163))]]) ).
cnf(refute_0_264,plain,
( ~ cyclic(X_7160,X_7160,X_7160,X_7161)
| cyclic(X_7160,X_7160,X_7161,X_7161) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_7160)),bind(B,$fot(X_7160)),bind(C,$fot(X_7160)),bind(D,$fot(X_7161)),bind(E,$fot(X_7161))]]) ).
cnf(refute_0_265,plain,
( ~ cyclic(X_7158,X_7158,X_7159,X_7158)
| cyclic(X_7158,X_7158,X_7158,X_7159) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_7158)),bind(B,$fot(X_7158)),bind(C,$fot(X_7159)),bind(D,$fot(X_7158))]]) ).
cnf(refute_0_266,plain,
( ~ cyclic(X_7156,X_7157,X_7156,X_7156)
| cyclic(X_7156,X_7156,X_7157,X_7156) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_7156)),bind(B,$fot(X_7157)),bind(C,$fot(X_7156)),bind(D,$fot(X_7156))]]) ).
cnf(refute_0_267,plain,
( ~ cyclic(X_7155,X_7154,X_7154,X_7154)
| cyclic(X_7154,X_7155,X_7154,X_7154) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_7155)),bind(B,$fot(X_7154)),bind(C,$fot(X_7154)),bind(D,$fot(X_7154))]]) ).
cnf(refute_0_268,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_7153,X_7152),X_7153,skolemFOFtoCNF_P_1(X_7153,X_7152),X_7152)
| cyclic(X_7153,X_7152,X_7152,X_7152) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_7153)),bind(B,$fot(X_7152)),bind(C,$fot(X_7152)),bind(D,$fot(X_7152)),bind(O,$fot(skolemFOFtoCNF_P_1(X_7153,X_7152)))]]) ).
cnf(refute_0_269,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_5368,X_5367),X_5368,X_5367)
| cong(skolemFOFtoCNF_P_1(X_5368,X_5367),X_5368,skolemFOFtoCNF_P_1(X_5368,X_5367),X_5367) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_P_1(X_5368,X_5367))),bind(B,$fot(X_5368)),bind(C,$fot(X_5367))]]) ).
cnf(refute_0_270,plain,
cong(skolemFOFtoCNF_P_1(X_5368,X_5367),X_5368,skolemFOFtoCNF_P_1(X_5368,X_5367),X_5367),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_5368,X_5367),X_5368,X_5367) )],[refute_0_145,refute_0_269]) ).
cnf(refute_0_271,plain,
cong(skolemFOFtoCNF_P_1(X_7153,X_7152),X_7153,skolemFOFtoCNF_P_1(X_7153,X_7152),X_7152),
inference(subst,[],[refute_0_270:[bind(X_5367,$fot(X_7152)),bind(X_5368,$fot(X_7153))]]) ).
cnf(refute_0_272,plain,
cyclic(X_7153,X_7152,X_7152,X_7152),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_7153,X_7152),X_7153,skolemFOFtoCNF_P_1(X_7153,X_7152),X_7152) )],[refute_0_271,refute_0_268]) ).
cnf(refute_0_273,plain,
cyclic(X_7155,X_7154,X_7154,X_7154),
inference(subst,[],[refute_0_272:[bind(X_7152,$fot(X_7154)),bind(X_7153,$fot(X_7155))]]) ).
cnf(refute_0_274,plain,
cyclic(X_7154,X_7155,X_7154,X_7154),
inference(resolve,[$cnf( cyclic(X_7155,X_7154,X_7154,X_7154) )],[refute_0_273,refute_0_267]) ).
cnf(refute_0_275,plain,
cyclic(X_7156,X_7157,X_7156,X_7156),
inference(subst,[],[refute_0_274:[bind(X_7154,$fot(X_7156)),bind(X_7155,$fot(X_7157))]]) ).
cnf(refute_0_276,plain,
cyclic(X_7156,X_7156,X_7157,X_7156),
inference(resolve,[$cnf( cyclic(X_7156,X_7157,X_7156,X_7156) )],[refute_0_275,refute_0_266]) ).
cnf(refute_0_277,plain,
cyclic(X_7158,X_7158,X_7159,X_7158),
inference(subst,[],[refute_0_276:[bind(X_7156,$fot(X_7158)),bind(X_7157,$fot(X_7159))]]) ).
cnf(refute_0_278,plain,
cyclic(X_7158,X_7158,X_7158,X_7159),
inference(resolve,[$cnf( cyclic(X_7158,X_7158,X_7159,X_7158) )],[refute_0_277,refute_0_265]) ).
cnf(refute_0_279,plain,
cyclic(X_7160,X_7160,X_7160,X_7161),
inference(subst,[],[refute_0_278:[bind(X_7158,$fot(X_7160)),bind(X_7159,$fot(X_7161))]]) ).
cnf(refute_0_280,plain,
cyclic(X_7160,X_7160,X_7161,X_7161),
inference(resolve,[$cnf( cyclic(X_7160,X_7160,X_7160,X_7161) )],[refute_0_279,refute_0_264]) ).
cnf(refute_0_281,plain,
cyclic(X_7162,X_7162,X_7163,X_7163),
inference(subst,[],[refute_0_280:[bind(X_7160,$fot(X_7162)),bind(X_7161,$fot(X_7163))]]) ).
cnf(refute_0_282,plain,
( ~ cong(X_7162,X_7163,X_7162,X_7163)
| perp(X_7163,X_7162,X_7162,X_7163) ),
inference(resolve,[$cnf( cyclic(X_7162,X_7162,X_7163,X_7163) )],[refute_0_281,refute_0_263]) ).
cnf(refute_0_283,plain,
cong(X_7162,X_7163,X_7162,X_7163),
inference(subst,[],[refute_0_193:[bind(X_5465,$fot(X_7163)),bind(X_5466,$fot(X_7162))]]) ).
cnf(refute_0_284,plain,
perp(X_7163,X_7162,X_7162,X_7163),
inference(resolve,[$cnf( cong(X_7162,X_7163,X_7162,X_7163) )],[refute_0_283,refute_0_282]) ).
cnf(refute_0_285,plain,
perp(X_7165,X_7164,X_7164,X_7165),
inference(subst,[],[refute_0_284:[bind(X_7162,$fot(X_7164)),bind(X_7163,$fot(X_7165))]]) ).
cnf(refute_0_286,plain,
( ~ midp(M,X_7165,X_7165)
| cong(X_7165,M,X_7164,M) ),
inference(resolve,[$cnf( perp(X_7165,X_7164,X_7164,X_7165) )],[refute_0_285,refute_0_262]) ).
cnf(refute_0_287,plain,
midp(M,X_7165,X_7165),
inference(subst,[],[refute_0_246:[bind(X_5279,$fot(X_7165)),bind(X_5401,$fot(M))]]) ).
cnf(refute_0_288,plain,
cong(X_7165,M,X_7164,M),
inference(resolve,[$cnf( midp(M,X_7165,X_7165) )],[refute_0_287,refute_0_286]) ).
cnf(refute_0_289,plain,
cong(X_15249,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_288:[bind(M,$fot(skolemFOFtoCNF_B_1)),bind(X_7164,$fot(skolemFOFtoCNF_C_1)),bind(X_7165,$fot(X_15249))]]) ).
cnf(refute_0_290,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_291,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_292,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_293,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_5406,skolemFOFtoCNF_B_1,X_5406)
| cong(skolemFOFtoCNF_C_1,X_5406,X_5406,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_5406)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_5406))]]) ).
cnf(refute_0_294,plain,
( ~ midp(M,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_C_1,M,skolemFOFtoCNF_B_1,M) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_295,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(E,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_296,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_297,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_298,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_299,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_215,refute_0_298]) ).
cnf(refute_0_300,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_299,refute_0_297]) ).
cnf(refute_0_301,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_300,refute_0_296]) ).
cnf(refute_0_302,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_301,refute_0_295]) ).
cnf(refute_0_303,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_C_1)),bind(Q,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_304,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_5382,X_5382)
| cong(skolemFOFtoCNF_B_1,X_5382,skolemFOFtoCNF_B_1,X_5382) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_5382)),bind(C,$fot(X_5382))]]) ).
cnf(refute_0_306,plain,
( ~ midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A))
| midp(skolemFOFtoCNF_B_1,X_5279,X_5279) ),
inference(subst,[],[refute_0_73:[bind(X_5278,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(X_5280,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_307,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A))
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A))
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(C,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_308,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(C,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_309,plain,
( ~ cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A))
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_310,plain,
( ~ cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_311,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_312,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_47:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_313,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_45,refute_0_312]) ).
cnf(refute_0_314,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_315,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
( ~ midp(X_5280,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| midp(X_5280,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_71:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(X_5280))]]) ).
cnf(refute_0_317,plain,
( ~ midp(X_5280,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_5280,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_317:[bind(X_5280,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_319,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_144:[bind(Q,$fot(skolemFOFtoCNF_A)),bind(X_5341,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_320,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_319,refute_0_318]) ).
cnf(refute_0_321,plain,
cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_320,refute_0_311]) ).
cnf(refute_0_322,plain,
cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1) )],[refute_0_321,refute_0_310]) ).
cnf(refute_0_323,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) )],[refute_0_322,refute_0_309]) ).
cnf(refute_0_324,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1) )],[refute_0_323,refute_0_308]) ).
cnf(refute_0_325,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A))
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) )],[refute_0_324,refute_0_307]) ).
cnf(refute_0_326,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_125:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_3810,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A))),bind(X_3811,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_327,plain,
midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) )],[refute_0_326,refute_0_325]) ).
cnf(refute_0_328,plain,
midp(skolemFOFtoCNF_B_1,X_5279,X_5279),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A),skolemFOFtoCNF_P_1(skolemFOFtoCNF_A,skolemFOFtoCNF_A)) )],[refute_0_327,refute_0_306]) ).
cnf(refute_0_329,plain,
midp(skolemFOFtoCNF_B_1,X_5382,X_5382),
inference(subst,[],[refute_0_328:[bind(X_5279,$fot(X_5382))]]) ).
cnf(refute_0_330,plain,
cong(skolemFOFtoCNF_B_1,X_5382,skolemFOFtoCNF_B_1,X_5382),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_5382,X_5382) )],[refute_0_329,refute_0_305]) ).
cnf(refute_0_331,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_330:[bind(X_5382,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_332,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_331,refute_0_304]) ).
cnf(refute_0_333,plain,
( ~ midp(M,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_C_1,M,skolemFOFtoCNF_B_1,M) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_332,refute_0_294]) ).
cnf(refute_0_334,plain,
cong(skolemFOFtoCNF_C_1,M,skolemFOFtoCNF_B_1,M),
inference(resolve,[$cnf( midp(M,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_247,refute_0_333]) ).
cnf(refute_0_335,plain,
cong(skolemFOFtoCNF_C_1,X_5406,skolemFOFtoCNF_B_1,X_5406),
inference(subst,[],[refute_0_334:[bind(M,$fot(X_5406))]]) ).
cnf(refute_0_336,plain,
cong(skolemFOFtoCNF_C_1,X_5406,X_5406,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_5406,skolemFOFtoCNF_B_1,X_5406) )],[refute_0_335,refute_0_293]) ).
cnf(refute_0_337,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_336:[bind(X_5406,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_338,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_337,refute_0_292]) ).
cnf(refute_0_339,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_125:[bind(C,$fot(skolemFOFtoCNF_C_1)),bind(X_3810,$fot(skolemFOFtoCNF_B_1)),bind(X_3811,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_340,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_339,refute_0_338]) ).
cnf(refute_0_341,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_340,refute_0_291]) ).
cnf(refute_0_342,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_341,refute_0_290]) ).
cnf(refute_0_343,plain,
( ~ cong(X_15141,X_15142,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| cong(X_15141,X_15142,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_257:[bind(A,$fot(X_15141)),bind(B,$fot(X_15142)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(skolemFOFtoCNF_C_1)),bind(F,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_344,plain,
( ~ cong(X_15141,X_15142,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(X_15141,X_15142,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
( ~ cong(X_15249,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(X_15249,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_344:[bind(X_15141,$fot(X_15249)),bind(X_15142,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_346,plain,
cong(X_15249,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(X_15249,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_289,refute_0_345]) ).
cnf(refute_0_347,plain,
cong(X_15252,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_346:[bind(X_15249,$fot(X_15252))]]) ).
cnf(refute_0_348,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_15252,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(X_15252,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_347,refute_0_261]) ).
cnf(refute_0_349,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_15254,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_348:[bind(X_15252,$fot(X_15254))]]) ).
cnf(refute_0_350,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,X_15254,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_15254,skolemFOFtoCNF_B_1) )],[refute_0_349,refute_0_260]) ).
cnf(refute_0_351,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_350:[bind(X_15254,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_352,plain,
$false,
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) )],[refute_0_351,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO651+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 19:03:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 95.88/96.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 95.88/96.03
% 95.88/96.03 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 95.92/96.07
%------------------------------------------------------------------------------