TSTP Solution File: GEO655+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO655+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 05:28:05 EDT 2022
% Result : Theorem 98.14s 98.33s
% Output : CNFRefutation 98.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 30
% Syntax : Number of formulae : 368 ( 143 unt; 0 def)
% Number of atoms : 752 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 660 ( 276 ~; 271 |; 81 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-3 aty)
% Number of variables : 881 ( 109 sgn 432 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ) ).
fof(ruleD7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ) ).
fof(ruleD8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C) )
=> circle(O,A,B,C) ) ).
fof(ruleD13,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C)
& cong(O,A,O,D) )
=> cyclic(A,B,C,D) ) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ) ).
fof(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ) ).
fof(ruleD44,axiom,
! [A,B,C,E,F] :
( ( midp(E,A,B)
& midp(F,A,C) )
=> para(E,F,B,C) ) ).
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(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(ruleX10,axiom,
! [A,B,C,H] :
? [P,Q] :
( ( perp(A,H,B,C)
& perp(B,H,A,C) )
=> ( coll(P,C,B)
& perp(A,P,C,B)
& coll(Q,C,A)
& perp(B,Q,C,A) ) ) ).
fof(exemplo6GDDFULLmoreE0229,conjecture,
! [A,B,C,D,E,F,G,MIDPNT1,MIDPNT2,MIDPNT3,NWPNT4] :
( ( midp(MIDPNT1,B,A)
& perp(B,A,MIDPNT1,D)
& midp(MIDPNT2,B,C)
& perp(B,C,MIDPNT2,D)
& midp(MIDPNT3,A,C)
& perp(A,C,MIDPNT3,D)
& coll(E,A,C)
& eqangle(C,B,B,E,E,B,B,A)
& coll(B,E,F)
& circle(D,B,F,NWPNT4)
& perp(D,F,F,G) )
=> para(F,G,A,C) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E,F,G,MIDPNT1,MIDPNT2,MIDPNT3,NWPNT4] :
( ( midp(MIDPNT1,B,A)
& perp(B,A,MIDPNT1,D)
& midp(MIDPNT2,B,C)
& perp(B,C,MIDPNT2,D)
& midp(MIDPNT3,A,C)
& perp(A,C,MIDPNT3,D)
& coll(E,A,C)
& eqangle(C,B,B,E,E,B,B,A)
& coll(B,E,F)
& circle(D,B,F,NWPNT4)
& perp(D,F,F,G) )
=> para(F,G,A,C) ),
inference(strip,[],[exemplo6GDDFULLmoreE0229]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E,F,G,MIDPNT1,MIDPNT2,MIDPNT3,NWPNT4] :
( ( midp(MIDPNT1,B,A)
& perp(B,A,MIDPNT1,D)
& midp(MIDPNT2,B,C)
& perp(B,C,MIDPNT2,D)
& midp(MIDPNT3,A,C)
& perp(A,C,MIDPNT3,D)
& coll(E,A,C)
& eqangle(C,B,B,E,E,B,B,A)
& coll(B,E,F)
& circle(D,B,F,NWPNT4)
& perp(D,F,F,G) )
=> para(F,G,A,C) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F,G,MIDPNT1,MIDPNT2,MIDPNT3] :
( ~ para(F,G,A,C)
& coll(B,E,F)
& coll(E,A,C)
& eqangle(C,B,B,E,E,B,B,A)
& midp(MIDPNT1,B,A)
& midp(MIDPNT2,B,C)
& midp(MIDPNT3,A,C)
& perp(A,C,MIDPNT3,D)
& perp(B,A,MIDPNT1,D)
& perp(B,C,MIDPNT2,D)
& perp(D,F,F,G)
& ? [NWPNT4] : circle(D,B,F,NWPNT4) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ para(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_F)
& coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
& midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
& midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_D)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_D)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_D)
& perp(skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G)
& ? [NWPNT4] : circle(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,NWPNT4) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ para(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C,E,F] :
( ~ midp(E,A,B)
| ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(canonicalize,[],[ruleD44]) ).
fof(normalize_0_4,plain,
! [A,B,C,E,F] :
( ~ midp(E,A,B)
| ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_6,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_8,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_10,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
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] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_26,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
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,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_33,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
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_B_1,skolemFOFtoCNF_A),
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,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_50,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_49]) ).
fof(normalize_0_51,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_52,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_51]) ).
fof(normalize_0_53,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_54,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_53]) ).
fof(normalize_0_55,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[ruleD12]) ).
fof(normalize_0_56,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_55]) ).
fof(normalize_0_57,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_58,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_57]) ).
fof(normalize_0_59,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_60,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_59]) ).
fof(normalize_0_61,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_62,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_61]) ).
fof(normalize_0_63,plain,
perp(skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_64,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_65,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_64]) ).
fof(normalize_0_66,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_65]) ).
fof(normalize_0_67,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_66]) ).
cnf(refute_0_0,plain,
~ para(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ midp(E,A,B)
| ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ coll(X_7898,X_7899,X_7900)
| ~ cong(X_7898,X_7899,X_7898,X_7900)
| midp(X_7898,X_7899,X_7900) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_7898)),bind(B,$fot(X_7899)),bind(C,$fot(X_7900))]]) ).
cnf(refute_0_4,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ cong(X_7893,X_7894,X_7895,X_7893)
| cong(X_7893,X_7894,X_7893,X_7895) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_7893)),bind(B,$fot(X_7894)),bind(C,$fot(X_7895)),bind(D,$fot(X_7893))]]) ).
cnf(refute_0_6,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ cong(X_7870,X_7868,X_7868,X_7869)
| cong(X_7868,X_7869,X_7870,X_7868) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_7870)),bind(B,$fot(X_7868)),bind(C,$fot(X_7868)),bind(D,$fot(X_7869))]]) ).
cnf(refute_0_8,plain,
( ~ cong(X_7867,X_7865,X_7866,X_7865)
| cong(X_7867,X_7865,X_7865,X_7866) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_7867)),bind(B,$fot(X_7865)),bind(C,$fot(X_7866)),bind(D,$fot(X_7865))]]) ).
cnf(refute_0_9,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ midp(M,X_7848,X_7848)
| ~ perp(X_7848,X_7847,X_7847,X_7848)
| cong(X_7848,M,X_7847,M) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_7848)),bind(B,$fot(X_7847)),bind(C,$fot(X_7848))]]) ).
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(X_7845,X_7846,X_7845,X_7846)
| ~ cyclic(X_7845,X_7845,X_7846,X_7846)
| perp(X_7846,X_7845,X_7845,X_7846) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_7845)),bind(B,$fot(X_7845)),bind(P,$fot(X_7846)),bind(Q,$fot(X_7846))]]) ).
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(X_7843,X_7843,X_7843,X_7844)
| cyclic(X_7843,X_7843,X_7844,X_7844) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_7843)),bind(B,$fot(X_7843)),bind(C,$fot(X_7843)),bind(D,$fot(X_7844)),bind(E,$fot(X_7844))]]) ).
cnf(refute_0_15,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_16,plain,
( ~ cyclic(X_7841,X_7841,X_7842,X_7841)
| cyclic(X_7841,X_7841,X_7841,X_7842) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_7841)),bind(B,$fot(X_7841)),bind(C,$fot(X_7842)),bind(D,$fot(X_7841))]]) ).
cnf(refute_0_17,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_18,plain,
( ~ cyclic(X_7839,X_7840,X_7839,X_7839)
| cyclic(X_7839,X_7839,X_7840,X_7839) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_7839)),bind(B,$fot(X_7840)),bind(C,$fot(X_7839)),bind(D,$fot(X_7839))]]) ).
cnf(refute_0_19,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_20,plain,
( ~ cyclic(X_7838,X_7837,X_7837,X_7837)
| cyclic(X_7837,X_7838,X_7837,X_7837) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_7838)),bind(B,$fot(X_7837)),bind(C,$fot(X_7837)),bind(D,$fot(X_7837))]]) ).
cnf(refute_0_21,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_22,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_7836,X_7835),X_7836,skolemFOFtoCNF_P_1(X_7836,X_7835),X_7835)
| cyclic(X_7836,X_7835,X_7835,X_7835) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_7836)),bind(B,$fot(X_7835)),bind(C,$fot(X_7835)),bind(D,$fot(X_7835)),bind(O,$fot(skolemFOFtoCNF_P_1(X_7836,X_7835)))]]) ).
cnf(refute_0_23,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_24,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_5080,X_5079),X_5080,X_5079)
| cong(skolemFOFtoCNF_P_1(X_5080,X_5079),X_5080,skolemFOFtoCNF_P_1(X_5080,X_5079),X_5079) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P_1(X_5080,X_5079))),bind(B,$fot(X_5080)),bind(C,$fot(X_5079))]]) ).
cnf(refute_0_25,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_26,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_27,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_28,plain,
( ~ coll(X_601,X_601,X_600)
| coll(X_601,X_600,X_601) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_601)),bind(B,$fot(X_601)),bind(C,$fot(X_600))]]) ).
cnf(refute_0_29,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_30,plain,
( ~ coll(X_598,X_599,X_599)
| coll(X_599,X_599,X_598) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_598)),bind(B,$fot(X_599)),bind(C,$fot(X_599)),bind(D,$fot(X_599))]]) ).
cnf(refute_0_31,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_32,plain,
( ~ para(X_593,X_594,X_593,X_594)
| coll(X_593,X_594,X_594) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_593)),bind(B,$fot(X_594)),bind(C,$fot(X_594))]]) ).
cnf(refute_0_33,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_34,plain,
( ~ eqangle(X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_591,X_592,X_591,X_592) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_591)),bind(B,$fot(X_592)),bind(C,$fot(X_591)),bind(D,$fot(X_592)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_35,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_13:[bind(A,$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_36,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,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_37,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_38,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_39,plain,
cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) )],[refute_0_39,refute_0_36]) ).
cnf(refute_0_41,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_40,refute_0_35]) ).
cnf(refute_0_42,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_43,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_42:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_44,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_41,refute_0_43]) ).
cnf(refute_0_45,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_46,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_48,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154) ),
inference(subst,[],[refute_0_47:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(X_153)),bind(Q,$fot(X_154))]]) ).
cnf(refute_0_49,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_46,refute_0_48]) ).
cnf(refute_0_50,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590),
inference(subst,[],[refute_0_49:[bind(X_153,$fot(X_589)),bind(X_154,$fot(X_590))]]) ).
cnf(refute_0_51,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_52,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590)
| eqangle(X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_51:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_589)),bind(D,$fot(X_590)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_589)),bind(V,$fot(X_590))]]) ).
cnf(refute_0_53,plain,
eqangle(X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_589,X_590) )],[refute_0_50,refute_0_52]) ).
cnf(refute_0_54,plain,
eqangle(X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_53:[bind(X_589,$fot(X_591)),bind(X_590,$fot(X_592))]]) ).
cnf(refute_0_55,plain,
para(X_591,X_592,X_591,X_592),
inference(resolve,[$cnf( eqangle(X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_591,X_592,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_54,refute_0_34]) ).
cnf(refute_0_56,plain,
para(X_593,X_594,X_593,X_594),
inference(subst,[],[refute_0_55:[bind(X_591,$fot(X_593)),bind(X_592,$fot(X_594))]]) ).
cnf(refute_0_57,plain,
coll(X_593,X_594,X_594),
inference(resolve,[$cnf( para(X_593,X_594,X_593,X_594) )],[refute_0_56,refute_0_32]) ).
cnf(refute_0_58,plain,
coll(X_598,X_599,X_599),
inference(subst,[],[refute_0_57:[bind(X_593,$fot(X_598)),bind(X_594,$fot(X_599))]]) ).
cnf(refute_0_59,plain,
coll(X_599,X_599,X_598),
inference(resolve,[$cnf( coll(X_598,X_599,X_599) )],[refute_0_58,refute_0_30]) ).
cnf(refute_0_60,plain,
coll(X_601,X_601,X_600),
inference(subst,[],[refute_0_59:[bind(X_598,$fot(X_600)),bind(X_599,$fot(X_601))]]) ).
cnf(refute_0_61,plain,
coll(X_601,X_600,X_601),
inference(resolve,[$cnf( coll(X_601,X_601,X_600) )],[refute_0_60,refute_0_28]) ).
cnf(refute_0_62,plain,
coll(D,D,D),
inference(subst,[],[refute_0_61:[bind(X_600,$fot(D)),bind(X_601,$fot(D))]]) ).
cnf(refute_0_63,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_62,refute_0_26]) ).
cnf(refute_0_64,plain,
( ~ midp(skolemFOFtoCNF_A,X_5014,X_5014)
| midp(skolemFOFtoCNF_P_1(X_5014,Q),X_5014,Q) ),
inference(subst,[],[refute_0_63:[bind(D,$fot(X_5014)),bind(N,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_65,plain,
para(X_4957,X_4958,X_4957,X_4958),
inference(subst,[],[refute_0_55:[bind(X_591,$fot(X_4957)),bind(X_592,$fot(X_4958))]]) ).
cnf(refute_0_66,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_67,plain,
( ~ midp(X_4959,X_4957,X_4957)
| ~ para(X_4957,X_4958,X_4957,X_4958)
| midp(X_4959,X_4958,X_4958) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(X_4957)),bind(B,$fot(X_4957)),bind(C,$fot(X_4958)),bind(D,$fot(X_4958)),bind(M,$fot(X_4959))]]) ).
cnf(refute_0_68,plain,
( ~ midp(X_4959,X_4957,X_4957)
| midp(X_4959,X_4958,X_4958) ),
inference(resolve,[$cnf( para(X_4957,X_4958,X_4957,X_4958) )],[refute_0_65,refute_0_67]) ).
cnf(refute_0_69,plain,
( ~ midp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)
| midp(skolemFOFtoCNF_A,X_4958,X_4958) ),
inference(subst,[],[refute_0_68:[bind(X_4957,$fot(skolemFOFtoCNF_MIDPNT1)),bind(X_4959,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_70,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_2:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_71,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_72,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_71:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_73,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_37,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_75,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_76,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_77,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_78,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_79,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A)
| circle(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_80,plain,
circle(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) )],[refute_0_39,refute_0_79]) ).
cnf(refute_0_81,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_82,plain,
( ~ circle(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_83,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_80,refute_0_82]) ).
cnf(refute_0_84,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_85,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_86,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_87,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_73,refute_0_86]) ).
cnf(refute_0_88,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_87,refute_0_84]) ).
cnf(refute_0_89,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_88,refute_0_83]) ).
cnf(refute_0_90,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_89,refute_0_77]) ).
cnf(refute_0_91,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_90,refute_0_75]) ).
cnf(refute_0_92,plain,
( ~ midp(X_5011,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_A,X_5011,skolemFOFtoCNF_A,X_5011) ),
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_5011))]]) ).
cnf(refute_0_93,plain,
( ~ midp(X_5011,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_A,X_5011,skolemFOFtoCNF_A,X_5011) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_93:[bind(X_5011,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_95,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_73,refute_0_94]) ).
cnf(refute_0_96,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) )],[refute_0_95,refute_0_70]) ).
cnf(refute_0_97,plain,
( ~ coll(X_3733,skolemFOFtoCNF_D,C)
| ~ coll(X_3733,skolemFOFtoCNF_D,X_3734)
| coll(C,X_3734,X_3733) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3733)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_3734))]]) ).
cnf(refute_0_98,plain,
( ~ coll(X_3731,X_3732,skolemFOFtoCNF_D)
| coll(X_3731,skolemFOFtoCNF_D,X_3732) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_3731)),bind(B,$fot(X_3732)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_99,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,C)
| ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,X_3683)
| coll(C,X_3683,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_3683))]]) ).
cnf(refute_0_100,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_101,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_D,X_3665)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,X_3665) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(X_3665))]]) ).
cnf(refute_0_102,plain,
( ~ coll(skolemFOFtoCNF_F,X_3664,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_D,X_3664) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(X_3664)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_103,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_104,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D),skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D))),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_105,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D),skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D))),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_106,plain,
( ~ perp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_G)
| perp(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_107,plain,
( ~ perp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_F)
| perp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_108,plain,
( ~ perp(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D)
| perp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_109,plain,
( ~ perp(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_F)
| perp(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_110,plain,
perp(skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_111,plain,
( ~ perp(skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G)
| perp(skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_112,plain,
perp(skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_F),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
( ~ perp(skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_F)
| perp(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_114,plain,
perp(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_F) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
perp(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_F) )],[refute_0_114,refute_0_109]) ).
cnf(refute_0_116,plain,
perp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_F),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D) )],[refute_0_115,refute_0_108]) ).
cnf(refute_0_117,plain,
perp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_G),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_F) )],[refute_0_116,refute_0_107]) ).
cnf(refute_0_118,plain,
perp(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_D),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_G) )],[refute_0_117,refute_0_106]) ).
cnf(refute_0_119,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_120,plain,
( ~ perp(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_119:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_D)),bind(H,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_121,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_D) )],[refute_0_118,refute_0_120]) ).
cnf(refute_0_122,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D),skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D),skolemFOFtoCNF_D,skolemFOFtoCNF_F) )],[refute_0_121,refute_0_105]) ).
cnf(refute_0_123,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D),skolemFOFtoCNF_F) )],[refute_0_122,refute_0_104]) ).
cnf(refute_0_124,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_D) )],[refute_0_123,refute_0_103]) ).
cnf(refute_0_125,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3634)
| ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,X_3634,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_3634))]]) ).
cnf(refute_0_126,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3634)
| coll(skolemFOFtoCNF_F,X_3634,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3634),
inference(subst,[],[refute_0_59:[bind(X_598,$fot(X_3634)),bind(X_599,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_128,plain,
coll(skolemFOFtoCNF_F,X_3634,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3634) )],[refute_0_127,refute_0_126]) ).
cnf(refute_0_129,plain,
coll(skolemFOFtoCNF_F,X_3664,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_128:[bind(X_3634,$fot(X_3664))]]) ).
cnf(refute_0_130,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_D,X_3664),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,X_3664,skolemFOFtoCNF_D) )],[refute_0_129,refute_0_102]) ).
cnf(refute_0_131,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_D,X_3665),
inference(subst,[],[refute_0_130:[bind(X_3664,$fot(X_3665))]]) ).
cnf(refute_0_132,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,X_3665),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_D,X_3665) )],[refute_0_131,refute_0_101]) ).
cnf(refute_0_133,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,X_3683),
inference(subst,[],[refute_0_132:[bind(X_3665,$fot(X_3683))]]) ).
cnf(refute_0_134,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,C)
| coll(C,X_3683,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,X_3683) )],[refute_0_133,refute_0_99]) ).
cnf(refute_0_135,plain,
coll(X_3632,X_3632,X_3633),
inference(subst,[],[refute_0_59:[bind(X_598,$fot(X_3633)),bind(X_599,$fot(X_3632))]]) ).
cnf(refute_0_136,plain,
( ~ coll(X_3632,X_3632,X_3633)
| ~ coll(X_3632,X_3632,X_3634)
| coll(X_3633,X_3634,X_3632) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3632)),bind(B,$fot(X_3632)),bind(C,$fot(X_3633)),bind(D,$fot(X_3634))]]) ).
cnf(refute_0_137,plain,
( ~ coll(X_3632,X_3632,X_3634)
| coll(X_3633,X_3634,X_3632) ),
inference(resolve,[$cnf( coll(X_3632,X_3632,X_3633) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
coll(X_3632,X_3632,X_3634),
inference(subst,[],[refute_0_59:[bind(X_598,$fot(X_3634)),bind(X_599,$fot(X_3632))]]) ).
cnf(refute_0_139,plain,
coll(X_3633,X_3634,X_3632),
inference(resolve,[$cnf( coll(X_3632,X_3632,X_3634) )],[refute_0_138,refute_0_137]) ).
cnf(refute_0_140,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_139:[bind(X_3632,$fot(C)),bind(X_3633,$fot(skolemFOFtoCNF_D)),bind(X_3634,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_141,plain,
coll(C,X_3683,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_F,C) )],[refute_0_140,refute_0_134]) ).
cnf(refute_0_142,plain,
coll(X_3731,X_3732,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_141:[bind(C,$fot(X_3731)),bind(X_3683,$fot(X_3732))]]) ).
cnf(refute_0_143,plain,
coll(X_3731,skolemFOFtoCNF_D,X_3732),
inference(resolve,[$cnf( coll(X_3731,X_3732,skolemFOFtoCNF_D) )],[refute_0_142,refute_0_98]) ).
cnf(refute_0_144,plain,
coll(X_3733,skolemFOFtoCNF_D,X_3734),
inference(subst,[],[refute_0_143:[bind(X_3731,$fot(X_3733)),bind(X_3732,$fot(X_3734))]]) ).
cnf(refute_0_145,plain,
( ~ coll(X_3733,skolemFOFtoCNF_D,C)
| coll(C,X_3734,X_3733) ),
inference(resolve,[$cnf( coll(X_3733,skolemFOFtoCNF_D,X_3734) )],[refute_0_144,refute_0_97]) ).
cnf(refute_0_146,plain,
( ~ coll(X_3708,skolemFOFtoCNF_G,C)
| ~ coll(X_3708,skolemFOFtoCNF_G,X_3709)
| coll(C,X_3709,X_3708) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3708)),bind(B,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_3709))]]) ).
cnf(refute_0_147,plain,
( ~ coll(X_3647,skolemFOFtoCNF_F,C)
| ~ coll(X_3647,skolemFOFtoCNF_F,skolemFOFtoCNF_G)
| coll(C,skolemFOFtoCNF_G,X_3647) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_3647)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_148,plain,
( ~ coll(skolemFOFtoCNF_F,X_3642,skolemFOFtoCNF_G)
| coll(X_3642,skolemFOFtoCNF_F,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(X_3642)),bind(C,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_149,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G))),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_150,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_F,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G))),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_151,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_G,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_F,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G))),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_152,plain,
( ~ perp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_G,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_119:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_G)),bind(H,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_153,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_G,skolemFOFtoCNF_F),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_F,skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_G) )],[refute_0_117,refute_0_152]) ).
cnf(refute_0_154,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_F,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_G,skolemFOFtoCNF_F) )],[refute_0_153,refute_0_151]) ).
cnf(refute_0_155,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_F,skolemFOFtoCNF_G) )],[refute_0_154,refute_0_150]) ).
cnf(refute_0_156,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_P_3(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_G),skolemFOFtoCNF_G) )],[refute_0_155,refute_0_149]) ).
cnf(refute_0_157,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_3634)
| ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,X_3634,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_3634))]]) ).
cnf(refute_0_158,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_3634)
| coll(skolemFOFtoCNF_F,X_3634,skolemFOFtoCNF_G) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_F) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_3634),
inference(subst,[],[refute_0_59:[bind(X_598,$fot(X_3634)),bind(X_599,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_160,plain,
coll(skolemFOFtoCNF_F,X_3634,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_3634) )],[refute_0_159,refute_0_158]) ).
cnf(refute_0_161,plain,
coll(skolemFOFtoCNF_F,X_3642,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_160:[bind(X_3634,$fot(X_3642))]]) ).
cnf(refute_0_162,plain,
coll(X_3642,skolemFOFtoCNF_F,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,X_3642,skolemFOFtoCNF_G) )],[refute_0_161,refute_0_148]) ).
cnf(refute_0_163,plain,
coll(X_3647,skolemFOFtoCNF_F,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_162:[bind(X_3642,$fot(X_3647))]]) ).
cnf(refute_0_164,plain,
( ~ coll(X_3647,skolemFOFtoCNF_F,C)
| coll(C,skolemFOFtoCNF_G,X_3647) ),
inference(resolve,[$cnf( coll(X_3647,skolemFOFtoCNF_F,skolemFOFtoCNF_G) )],[refute_0_163,refute_0_147]) ).
cnf(refute_0_165,plain,
coll(X_3647,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_139:[bind(X_3632,$fot(C)),bind(X_3633,$fot(X_3647)),bind(X_3634,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_166,plain,
coll(C,skolemFOFtoCNF_G,X_3647),
inference(resolve,[$cnf( coll(X_3647,skolemFOFtoCNF_F,C) )],[refute_0_165,refute_0_164]) ).
cnf(refute_0_167,plain,
coll(X_3708,skolemFOFtoCNF_G,X_3709),
inference(subst,[],[refute_0_166:[bind(C,$fot(X_3708)),bind(X_3647,$fot(X_3709))]]) ).
cnf(refute_0_168,plain,
( ~ coll(X_3708,skolemFOFtoCNF_G,C)
| coll(C,X_3709,X_3708) ),
inference(resolve,[$cnf( coll(X_3708,skolemFOFtoCNF_G,X_3709) )],[refute_0_167,refute_0_146]) ).
cnf(refute_0_169,plain,
coll(X_3708,skolemFOFtoCNF_G,C),
inference(subst,[],[refute_0_139:[bind(X_3632,$fot(C)),bind(X_3633,$fot(X_3708)),bind(X_3634,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_170,plain,
coll(C,X_3709,X_3708),
inference(resolve,[$cnf( coll(X_3708,skolemFOFtoCNF_G,C) )],[refute_0_169,refute_0_168]) ).
cnf(refute_0_171,plain,
coll(X_3733,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_170:[bind(C,$fot(X_3733)),bind(X_3708,$fot(C)),bind(X_3709,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_172,plain,
coll(C,X_3734,X_3733),
inference(resolve,[$cnf( coll(X_3733,skolemFOFtoCNF_D,C) )],[refute_0_171,refute_0_145]) ).
cnf(refute_0_173,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),
inference(subst,[],[refute_0_172:[bind(C,$fot(skolemFOFtoCNF_A)),bind(X_3733,$fot(skolemFOFtoCNF_MIDPNT1)),bind(X_3734,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_174,plain,
midp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1) )],[refute_0_173,refute_0_96]) ).
cnf(refute_0_175,plain,
midp(skolemFOFtoCNF_A,X_4958,X_4958),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1) )],[refute_0_174,refute_0_69]) ).
cnf(refute_0_176,plain,
midp(skolemFOFtoCNF_A,X_5014,X_5014),
inference(subst,[],[refute_0_175:[bind(X_4958,$fot(X_5014))]]) ).
cnf(refute_0_177,plain,
midp(skolemFOFtoCNF_P_1(X_5014,Q),X_5014,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,X_5014,X_5014) )],[refute_0_176,refute_0_64]) ).
cnf(refute_0_178,plain,
midp(skolemFOFtoCNF_P_1(X_5080,X_5079),X_5080,X_5079),
inference(subst,[],[refute_0_177:[bind(Q,$fot(X_5079)),bind(X_5014,$fot(X_5080))]]) ).
cnf(refute_0_179,plain,
cong(skolemFOFtoCNF_P_1(X_5080,X_5079),X_5080,skolemFOFtoCNF_P_1(X_5080,X_5079),X_5079),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_5080,X_5079),X_5080,X_5079) )],[refute_0_178,refute_0_24]) ).
cnf(refute_0_180,plain,
cong(skolemFOFtoCNF_P_1(X_7836,X_7835),X_7836,skolemFOFtoCNF_P_1(X_7836,X_7835),X_7835),
inference(subst,[],[refute_0_179:[bind(X_5079,$fot(X_7835)),bind(X_5080,$fot(X_7836))]]) ).
cnf(refute_0_181,plain,
cyclic(X_7836,X_7835,X_7835,X_7835),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_7836,X_7835),X_7836,skolemFOFtoCNF_P_1(X_7836,X_7835),X_7835) )],[refute_0_180,refute_0_22]) ).
cnf(refute_0_182,plain,
cyclic(X_7838,X_7837,X_7837,X_7837),
inference(subst,[],[refute_0_181:[bind(X_7835,$fot(X_7837)),bind(X_7836,$fot(X_7838))]]) ).
cnf(refute_0_183,plain,
cyclic(X_7837,X_7838,X_7837,X_7837),
inference(resolve,[$cnf( cyclic(X_7838,X_7837,X_7837,X_7837) )],[refute_0_182,refute_0_20]) ).
cnf(refute_0_184,plain,
cyclic(X_7839,X_7840,X_7839,X_7839),
inference(subst,[],[refute_0_183:[bind(X_7837,$fot(X_7839)),bind(X_7838,$fot(X_7840))]]) ).
cnf(refute_0_185,plain,
cyclic(X_7839,X_7839,X_7840,X_7839),
inference(resolve,[$cnf( cyclic(X_7839,X_7840,X_7839,X_7839) )],[refute_0_184,refute_0_18]) ).
cnf(refute_0_186,plain,
cyclic(X_7841,X_7841,X_7842,X_7841),
inference(subst,[],[refute_0_185:[bind(X_7839,$fot(X_7841)),bind(X_7840,$fot(X_7842))]]) ).
cnf(refute_0_187,plain,
cyclic(X_7841,X_7841,X_7841,X_7842),
inference(resolve,[$cnf( cyclic(X_7841,X_7841,X_7842,X_7841) )],[refute_0_186,refute_0_16]) ).
cnf(refute_0_188,plain,
cyclic(X_7843,X_7843,X_7843,X_7844),
inference(subst,[],[refute_0_187:[bind(X_7841,$fot(X_7843)),bind(X_7842,$fot(X_7844))]]) ).
cnf(refute_0_189,plain,
cyclic(X_7843,X_7843,X_7844,X_7844),
inference(resolve,[$cnf( cyclic(X_7843,X_7843,X_7843,X_7844) )],[refute_0_188,refute_0_14]) ).
cnf(refute_0_190,plain,
cyclic(X_7845,X_7845,X_7846,X_7846),
inference(subst,[],[refute_0_189:[bind(X_7843,$fot(X_7845)),bind(X_7844,$fot(X_7846))]]) ).
cnf(refute_0_191,plain,
( ~ cong(X_7845,X_7846,X_7845,X_7846)
| perp(X_7846,X_7845,X_7845,X_7846) ),
inference(resolve,[$cnf( cyclic(X_7845,X_7845,X_7846,X_7846) )],[refute_0_190,refute_0_12]) ).
cnf(refute_0_192,plain,
( ~ midp(X_5047,X_5046,X_5046)
| cong(X_5047,X_5046,X_5047,X_5046) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_5047)),bind(B,$fot(X_5046)),bind(C,$fot(X_5046))]]) ).
cnf(refute_0_193,plain,
( ~ midp(X_5027,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_5027,X_4958,X_4958) ),
inference(subst,[],[refute_0_68:[bind(X_4957,$fot(skolemFOFtoCNF_A)),bind(X_4959,$fot(X_5027))]]) ).
cnf(refute_0_194,plain,
( ~ coll(X_5026,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ cong(X_5026,skolemFOFtoCNF_A,X_5026,skolemFOFtoCNF_A)
| midp(X_5026,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5026)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_195,plain,
( ~ cong(X_5023,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_5023)
| cong(X_5023,skolemFOFtoCNF_A,X_5023,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5023)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_5023))]]) ).
cnf(refute_0_196,plain,
( ~ cong(skolemFOFtoCNF_A,X_5019,X_5019,skolemFOFtoCNF_A)
| cong(X_5019,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_5019) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_5019)),bind(C,$fot(X_5019)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_197,plain,
( ~ cong(skolemFOFtoCNF_A,X_5016,skolemFOFtoCNF_A,X_5016)
| cong(skolemFOFtoCNF_A,X_5016,X_5016,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_5016)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_5016))]]) ).
cnf(refute_0_198,plain,
( ~ midp(skolemFOFtoCNF_A,X_5014,X_5014)
| cong(skolemFOFtoCNF_A,X_5014,skolemFOFtoCNF_A,X_5014) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_5014)),bind(C,$fot(X_5014))]]) ).
cnf(refute_0_199,plain,
cong(skolemFOFtoCNF_A,X_5014,skolemFOFtoCNF_A,X_5014),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,X_5014,X_5014) )],[refute_0_176,refute_0_198]) ).
cnf(refute_0_200,plain,
cong(skolemFOFtoCNF_A,X_5016,skolemFOFtoCNF_A,X_5016),
inference(subst,[],[refute_0_199:[bind(X_5014,$fot(X_5016))]]) ).
cnf(refute_0_201,plain,
cong(skolemFOFtoCNF_A,X_5016,X_5016,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_5016,skolemFOFtoCNF_A,X_5016) )],[refute_0_200,refute_0_197]) ).
cnf(refute_0_202,plain,
cong(skolemFOFtoCNF_A,X_5019,X_5019,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_201:[bind(X_5016,$fot(X_5019))]]) ).
cnf(refute_0_203,plain,
cong(X_5019,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_5019),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_5019,X_5019,skolemFOFtoCNF_A) )],[refute_0_202,refute_0_196]) ).
cnf(refute_0_204,plain,
cong(X_5023,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_5023),
inference(subst,[],[refute_0_203:[bind(X_5019,$fot(X_5023))]]) ).
cnf(refute_0_205,plain,
cong(X_5023,skolemFOFtoCNF_A,X_5023,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(X_5023,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_5023) )],[refute_0_204,refute_0_195]) ).
cnf(refute_0_206,plain,
cong(X_5026,skolemFOFtoCNF_A,X_5026,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_205:[bind(X_5023,$fot(X_5026))]]) ).
cnf(refute_0_207,plain,
( ~ coll(X_5026,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_5026,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( cong(X_5026,skolemFOFtoCNF_A,X_5026,skolemFOFtoCNF_A) )],[refute_0_206,refute_0_194]) ).
cnf(refute_0_208,plain,
coll(X_5026,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_172:[bind(C,$fot(X_5026)),bind(X_3733,$fot(skolemFOFtoCNF_A)),bind(X_3734,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_209,plain,
midp(X_5026,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(X_5026,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_208,refute_0_207]) ).
cnf(refute_0_210,plain,
midp(X_5027,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_209:[bind(X_5026,$fot(X_5027))]]) ).
cnf(refute_0_211,plain,
midp(X_5027,X_4958,X_4958),
inference(resolve,[$cnf( midp(X_5027,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_210,refute_0_193]) ).
cnf(refute_0_212,plain,
midp(X_5047,X_5046,X_5046),
inference(subst,[],[refute_0_211:[bind(X_4958,$fot(X_5046)),bind(X_5027,$fot(X_5047))]]) ).
cnf(refute_0_213,plain,
cong(X_5047,X_5046,X_5047,X_5046),
inference(resolve,[$cnf( midp(X_5047,X_5046,X_5046) )],[refute_0_212,refute_0_192]) ).
cnf(refute_0_214,plain,
cong(X_7845,X_7846,X_7845,X_7846),
inference(subst,[],[refute_0_213:[bind(X_5046,$fot(X_7846)),bind(X_5047,$fot(X_7845))]]) ).
cnf(refute_0_215,plain,
perp(X_7846,X_7845,X_7845,X_7846),
inference(resolve,[$cnf( cong(X_7845,X_7846,X_7845,X_7846) )],[refute_0_214,refute_0_191]) ).
cnf(refute_0_216,plain,
perp(X_7848,X_7847,X_7847,X_7848),
inference(subst,[],[refute_0_215:[bind(X_7845,$fot(X_7847)),bind(X_7846,$fot(X_7848))]]) ).
cnf(refute_0_217,plain,
( ~ midp(M,X_7848,X_7848)
| cong(X_7848,M,X_7847,M) ),
inference(resolve,[$cnf( perp(X_7848,X_7847,X_7847,X_7848) )],[refute_0_216,refute_0_10]) ).
cnf(refute_0_218,plain,
( ~ midp(X_5033,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)
| midp(X_5033,X_4958,X_4958) ),
inference(subst,[],[refute_0_68:[bind(X_4957,$fot(skolemFOFtoCNF_MIDPNT1)),bind(X_4959,$fot(X_5033))]]) ).
cnf(refute_0_219,plain,
( ~ coll(X_5032,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)
| ~ cong(X_5032,skolemFOFtoCNF_MIDPNT1,X_5032,skolemFOFtoCNF_MIDPNT1)
| midp(X_5032,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5032)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_220,plain,
( ~ cong(X_5031,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_5031)
| cong(X_5031,skolemFOFtoCNF_MIDPNT1,X_5031,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5031)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1)),bind(D,$fot(X_5031))]]) ).
cnf(refute_0_221,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT1,X_5028,X_5028,skolemFOFtoCNF_MIDPNT1)
| cong(X_5028,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_5028) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(X_5028)),bind(C,$fot(X_5028)),bind(D,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_222,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT1,X_5018,skolemFOFtoCNF_MIDPNT1,X_5018)
| cong(skolemFOFtoCNF_MIDPNT1,X_5018,X_5018,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(X_5018)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1)),bind(D,$fot(X_5018))]]) ).
cnf(refute_0_223,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,X_5013,X_5013)
| cong(skolemFOFtoCNF_MIDPNT1,X_5013,skolemFOFtoCNF_MIDPNT1,X_5013) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(X_5013)),bind(C,$fot(X_5013))]]) ).
cnf(refute_0_224,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_MIDPNT1,X_4958,X_4958) ),
inference(subst,[],[refute_0_68:[bind(X_4957,$fot(skolemFOFtoCNF_A)),bind(X_4959,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_225,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_226,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1)
| cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_227,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_228,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_229,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) )],[refute_0_95,refute_0_228]) ).
cnf(refute_0_230,plain,
cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) )],[refute_0_229,refute_0_227]) ).
cnf(refute_0_231,plain,
cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) )],[refute_0_230,refute_0_226]) ).
cnf(refute_0_232,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) )],[refute_0_231,refute_0_225]) ).
cnf(refute_0_233,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_172:[bind(C,$fot(skolemFOFtoCNF_MIDPNT1)),bind(X_3733,$fot(skolemFOFtoCNF_A)),bind(X_3734,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_234,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_233,refute_0_232]) ).
cnf(refute_0_235,plain,
midp(skolemFOFtoCNF_MIDPNT1,X_4958,X_4958),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_234,refute_0_224]) ).
cnf(refute_0_236,plain,
midp(skolemFOFtoCNF_MIDPNT1,X_5013,X_5013),
inference(subst,[],[refute_0_235:[bind(X_4958,$fot(X_5013))]]) ).
cnf(refute_0_237,plain,
cong(skolemFOFtoCNF_MIDPNT1,X_5013,skolemFOFtoCNF_MIDPNT1,X_5013),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,X_5013,X_5013) )],[refute_0_236,refute_0_223]) ).
cnf(refute_0_238,plain,
cong(skolemFOFtoCNF_MIDPNT1,X_5018,skolemFOFtoCNF_MIDPNT1,X_5018),
inference(subst,[],[refute_0_237:[bind(X_5013,$fot(X_5018))]]) ).
cnf(refute_0_239,plain,
cong(skolemFOFtoCNF_MIDPNT1,X_5018,X_5018,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT1,X_5018,skolemFOFtoCNF_MIDPNT1,X_5018) )],[refute_0_238,refute_0_222]) ).
cnf(refute_0_240,plain,
cong(skolemFOFtoCNF_MIDPNT1,X_5028,X_5028,skolemFOFtoCNF_MIDPNT1),
inference(subst,[],[refute_0_239:[bind(X_5018,$fot(X_5028))]]) ).
cnf(refute_0_241,plain,
cong(X_5028,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_5028),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT1,X_5028,X_5028,skolemFOFtoCNF_MIDPNT1) )],[refute_0_240,refute_0_221]) ).
cnf(refute_0_242,plain,
cong(X_5031,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_5031),
inference(subst,[],[refute_0_241:[bind(X_5028,$fot(X_5031))]]) ).
cnf(refute_0_243,plain,
cong(X_5031,skolemFOFtoCNF_MIDPNT1,X_5031,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( cong(X_5031,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_5031) )],[refute_0_242,refute_0_220]) ).
cnf(refute_0_244,plain,
cong(X_5032,skolemFOFtoCNF_MIDPNT1,X_5032,skolemFOFtoCNF_MIDPNT1),
inference(subst,[],[refute_0_243:[bind(X_5031,$fot(X_5032))]]) ).
cnf(refute_0_245,plain,
( ~ coll(X_5032,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1)
| midp(X_5032,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1) ),
inference(resolve,[$cnf( cong(X_5032,skolemFOFtoCNF_MIDPNT1,X_5032,skolemFOFtoCNF_MIDPNT1) )],[refute_0_244,refute_0_219]) ).
cnf(refute_0_246,plain,
coll(X_5032,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),
inference(subst,[],[refute_0_172:[bind(C,$fot(X_5032)),bind(X_3733,$fot(skolemFOFtoCNF_MIDPNT1)),bind(X_3734,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_247,plain,
midp(X_5032,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(X_5032,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1) )],[refute_0_246,refute_0_245]) ).
cnf(refute_0_248,plain,
midp(X_5033,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1),
inference(subst,[],[refute_0_247:[bind(X_5032,$fot(X_5033))]]) ).
cnf(refute_0_249,plain,
midp(X_5033,X_4958,X_4958),
inference(resolve,[$cnf( midp(X_5033,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1) )],[refute_0_248,refute_0_218]) ).
cnf(refute_0_250,plain,
midp(M,X_7848,X_7848),
inference(subst,[],[refute_0_249:[bind(X_4958,$fot(X_7848)),bind(X_5033,$fot(M))]]) ).
cnf(refute_0_251,plain,
cong(X_7848,M,X_7847,M),
inference(resolve,[$cnf( midp(M,X_7848,X_7848) )],[refute_0_250,refute_0_217]) ).
cnf(refute_0_252,plain,
cong(X_7867,X_7865,X_7866,X_7865),
inference(subst,[],[refute_0_251:[bind(M,$fot(X_7865)),bind(X_7847,$fot(X_7866)),bind(X_7848,$fot(X_7867))]]) ).
cnf(refute_0_253,plain,
cong(X_7867,X_7865,X_7865,X_7866),
inference(resolve,[$cnf( cong(X_7867,X_7865,X_7866,X_7865) )],[refute_0_252,refute_0_8]) ).
cnf(refute_0_254,plain,
cong(X_7870,X_7868,X_7868,X_7869),
inference(subst,[],[refute_0_253:[bind(X_7865,$fot(X_7868)),bind(X_7866,$fot(X_7869)),bind(X_7867,$fot(X_7870))]]) ).
cnf(refute_0_255,plain,
cong(X_7868,X_7869,X_7870,X_7868),
inference(resolve,[$cnf( cong(X_7870,X_7868,X_7868,X_7869) )],[refute_0_254,refute_0_7]) ).
cnf(refute_0_256,plain,
cong(X_7893,X_7894,X_7895,X_7893),
inference(subst,[],[refute_0_255:[bind(X_7868,$fot(X_7893)),bind(X_7869,$fot(X_7894)),bind(X_7870,$fot(X_7895))]]) ).
cnf(refute_0_257,plain,
cong(X_7893,X_7894,X_7893,X_7895),
inference(resolve,[$cnf( cong(X_7893,X_7894,X_7895,X_7893) )],[refute_0_256,refute_0_5]) ).
cnf(refute_0_258,plain,
cong(X_7898,X_7899,X_7898,X_7900),
inference(subst,[],[refute_0_257:[bind(X_7893,$fot(X_7898)),bind(X_7894,$fot(X_7899)),bind(X_7895,$fot(X_7900))]]) ).
cnf(refute_0_259,plain,
( ~ coll(X_7898,X_7899,X_7900)
| midp(X_7898,X_7899,X_7900) ),
inference(resolve,[$cnf( cong(X_7898,X_7899,X_7898,X_7900) )],[refute_0_258,refute_0_3]) ).
cnf(refute_0_260,plain,
coll(X_7898,X_7899,X_7900),
inference(subst,[],[refute_0_172:[bind(C,$fot(X_7898)),bind(X_3733,$fot(X_7900)),bind(X_3734,$fot(X_7899))]]) ).
cnf(refute_0_261,plain,
midp(X_7898,X_7899,X_7900),
inference(resolve,[$cnf( coll(X_7898,X_7899,X_7900) )],[refute_0_260,refute_0_259]) ).
cnf(refute_0_262,plain,
midp(E,A,B),
inference(subst,[],[refute_0_261:[bind(X_7898,$fot(E)),bind(X_7899,$fot(A)),bind(X_7900,$fot(B))]]) ).
cnf(refute_0_263,plain,
( ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(resolve,[$cnf( midp(E,A,B) )],[refute_0_262,refute_0_1]) ).
cnf(refute_0_264,plain,
midp(F,A,C),
inference(subst,[],[refute_0_261:[bind(X_7898,$fot(F)),bind(X_7899,$fot(A)),bind(X_7900,$fot(C))]]) ).
cnf(refute_0_265,plain,
para(E,F,B,C),
inference(resolve,[$cnf( midp(F,A,C) )],[refute_0_264,refute_0_263]) ).
cnf(refute_0_266,plain,
para(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_265:[bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(E,$fot(skolemFOFtoCNF_F)),bind(F,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_267,plain,
$false,
inference(resolve,[$cnf( para(skolemFOFtoCNF_F,skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_266,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO655+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 07:28:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 98.14/98.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 98.14/98.33
% 98.14/98.33 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 98.14/98.36
%------------------------------------------------------------------------------