TSTP Solution File: GEO605+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO605+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:27:38 EDT 2022
% Result : Theorem 124.92s 125.15s
% Output : CNFRefutation 125.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 100
% Number of leaves : 34
% Syntax : Number of formulae : 615 ( 274 unt; 0 def)
% Number of atoms : 1181 ( 0 equ)
% Maximal formula atoms : 15 ( 1 avg)
% Number of connectives : 995 ( 429 ~; 424 |; 106 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-6 aty)
% Number of variables : 1255 ( 284 sgn 507 !; 29 ?)
% 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(ruleD4,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(A,B,D,C) ) ).
fof(ruleD5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ) ).
fof(ruleD7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ) ).
fof(ruleD8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C) )
=> circle(O,A,B,C) ) ).
fof(ruleD13,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C)
& cong(O,A,O,D) )
=> cyclic(A,B,C,D) ) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ) ).
fof(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ) ).
fof(ruleD53,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ) ).
fof(ruleX6,axiom,
! [A,B,C,D,M,N] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D) )
=> ( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(ruleX10,axiom,
! [A,B,C,H] :
? [P,Q] :
( ( perp(A,H,B,C)
& perp(B,H,A,C) )
=> ( coll(P,C,B)
& perp(A,P,C,B)
& coll(Q,C,A)
& perp(B,Q,C,A) ) ) ).
fof(ruleX11,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ) ).
fof(ruleX16,axiom,
! [A,B,C,D,M] :
? [P] :
( ( perp(A,B,A,C)
& perp(C,A,C,D)
& midp(M,B,D) )
=> midp(P,A,C) ) ).
fof(exemplo6GDDFULL618067,conjecture,
! [M,B,C,I,IC,IB,A,O,MIDPNT1,MIDPNT2,MIDPNT3] :
( ( eqangle(I,M,M,B,I,M,M,C)
& eqangle(I,B,B,C,I,B,B,M)
& eqangle(I,C,C,M,I,C,C,B)
& perp(B,I,B,IC)
& perp(C,I,C,IB)
& coll(IC,C,I)
& coll(IB,B,I)
& midp(A,IB,IC)
& midp(MIDPNT1,B,I)
& perp(B,I,MIDPNT1,O)
& midp(MIDPNT2,B,C)
& perp(B,C,MIDPNT2,O)
& midp(MIDPNT3,I,C)
& perp(I,C,MIDPNT3,O) )
=> perp(A,B,B,O) ) ).
fof(subgoal_0,plain,
! [M,B,C,I,IC,IB,A,O,MIDPNT1,MIDPNT2,MIDPNT3] :
( ( eqangle(I,M,M,B,I,M,M,C)
& eqangle(I,B,B,C,I,B,B,M)
& eqangle(I,C,C,M,I,C,C,B)
& perp(B,I,B,IC)
& perp(C,I,C,IB)
& coll(IC,C,I)
& coll(IB,B,I)
& midp(A,IB,IC)
& midp(MIDPNT1,B,I)
& perp(B,I,MIDPNT1,O)
& midp(MIDPNT2,B,C)
& perp(B,C,MIDPNT2,O)
& midp(MIDPNT3,I,C)
& perp(I,C,MIDPNT3,O) )
=> perp(A,B,B,O) ),
inference(strip,[],[exemplo6GDDFULL618067]) ).
fof(negate_0_0,plain,
~ ! [M,B,C,I,IC,IB,A,O,MIDPNT1,MIDPNT2,MIDPNT3] :
( ( eqangle(I,M,M,B,I,M,M,C)
& eqangle(I,B,B,C,I,B,B,M)
& eqangle(I,C,C,M,I,C,C,B)
& perp(B,I,B,IC)
& perp(C,I,C,IB)
& coll(IC,C,I)
& coll(IB,B,I)
& midp(A,IB,IC)
& midp(MIDPNT1,B,I)
& perp(B,I,MIDPNT1,O)
& midp(MIDPNT2,B,C)
& perp(B,C,MIDPNT2,O)
& midp(MIDPNT3,I,C)
& perp(I,C,MIDPNT3,O) )
=> perp(A,B,B,O) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,I,IB,IC,M,MIDPNT1,MIDPNT2,MIDPNT3,O] :
( ~ perp(A,B,B,O)
& coll(IB,B,I)
& coll(IC,C,I)
& eqangle(I,B,B,C,I,B,B,M)
& eqangle(I,C,C,M,I,C,C,B)
& eqangle(I,M,M,B,I,M,M,C)
& midp(A,IB,IC)
& midp(MIDPNT1,B,I)
& midp(MIDPNT2,B,C)
& midp(MIDPNT3,I,C)
& perp(B,C,MIDPNT2,O)
& perp(B,I,B,IC)
& perp(B,I,MIDPNT1,O)
& perp(C,I,C,IB)
& perp(I,C,MIDPNT3,O) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)
& coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I)
& coll(skolemFOFtoCNF_IC,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I)
& eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3)
& eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_A,skolemFOFtoCNF_IB,skolemFOFtoCNF_IC)
& midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I)
& midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_O_2)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_IC)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_O_2)
& perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_IB)
& perp(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_O_2) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,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_4,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_6,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_8,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_10,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_12,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_14,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,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_16,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_18,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_20,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_21,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_23,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(canonicalize,[],[ruleX11]) ).
fof(normalize_0_25,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(clausify,[],[normalize_0_25]) ).
fof(normalize_0_27,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_28,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_27]) ).
fof(normalize_0_29,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_28]) ).
fof(normalize_0_30,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) ),
inference(conjunct,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_32,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD39]) ).
fof(normalize_0_34,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_33]) ).
fof(normalize_0_35,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_34]) ).
fof(normalize_0_36,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_37,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_36]) ).
fof(normalize_0_38,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_39,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_38]) ).
fof(normalize_0_40,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_41,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_42,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_41]) ).
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(canonicalize,[],[ruleD40]) ).
fof(normalize_0_44,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_43]) ).
fof(normalize_0_45,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_44]) ).
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(canonicalize,[],[ruleD19]) ).
fof(normalize_0_47,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_46]) ).
fof(normalize_0_48,plain,
coll(skolemFOFtoCNF_IC,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_49,plain,
midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_50,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_51,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_50]) ).
fof(normalize_0_52,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_53,plain,
midp(skolemFOFtoCNF_A,skolemFOFtoCNF_IB,skolemFOFtoCNF_IC),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_54,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_55,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_54]) ).
fof(normalize_0_56,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_57,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_56]) ).
fof(normalize_0_58,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_59,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_58]) ).
fof(normalize_0_60,plain,
! [A,B,C,D] :
( ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| ? [P] : midp(P,A,C)
| ! [M] : ~ midp(M,B,D) ),
inference(canonicalize,[],[ruleX16]) ).
fof(normalize_0_61,plain,
! [A,B,C,D] :
( ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| ? [P] : midp(P,A,C)
| ! [M] : ~ midp(M,B,D) ),
inference(specialize,[],[normalize_0_60]) ).
fof(normalize_0_62,plain,
! [A,B,C,D,M] :
( ~ midp(M,B,D)
| ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| midp(skolemFOFtoCNF_P_7(A,C),A,C) ),
inference(clausify,[],[normalize_0_61]) ).
fof(normalize_0_63,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| ? [P] :
( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ),
inference(canonicalize,[],[ruleX6]) ).
fof(normalize_0_64,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| ? [P] :
( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ),
inference(specialize,[],[normalize_0_63]) ).
fof(normalize_0_65,plain,
! [A,B,C,D,M,N] :
( ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) )
& ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| para(skolemFOFtoCNF_P(A,B,C,D,M,N),M,B,D) )
& ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| para(skolemFOFtoCNF_P(A,B,C,D,M,N),N,A,C) ) ),
inference(clausify,[],[normalize_0_64]) ).
fof(normalize_0_66,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(conjunct,[],[normalize_0_65]) ).
fof(normalize_0_67,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(canonicalize,[],[ruleD5]) ).
fof(normalize_0_68,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(specialize,[],[normalize_0_67]) ).
fof(normalize_0_69,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(canonicalize,[],[ruleD4]) ).
fof(normalize_0_70,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(specialize,[],[normalize_0_69]) ).
fof(normalize_0_71,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_72,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_73,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_72]) ).
fof(normalize_0_74,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_75,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_74]) ).
fof(normalize_0_76,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_77,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_76]) ).
fof(normalize_0_78,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_79,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_78]) ).
fof(normalize_0_80,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_81,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_80]) ).
fof(normalize_0_82,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_83,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_82]) ).
fof(normalize_0_84,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_83]) ).
cnf(refute_0_0,plain,
~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ coll(X_5376,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),C)
| ~ coll(X_5376,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),X_5377)
| coll(C,X_5377,X_5376) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5376)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2))),bind(D,$fot(X_5377))]]) ).
cnf(refute_0_4,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ coll(X_5374,X_5375,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2))
| coll(X_5374,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),X_5375) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5374)),bind(B,$fot(X_5375)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)))]]) ).
cnf(refute_0_6,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1,C)
| ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1,X_5302)
| coll(C,X_5302,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_5302))]]) ).
cnf(refute_0_7,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),X_5301)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1,X_5301) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2))),bind(C,$fot(X_5301))]]) ).
cnf(refute_0_9,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_5266,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2))
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),X_5266) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_5266)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)))]]) ).
cnf(refute_0_10,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2))
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2))),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)))]]) ).
cnf(refute_0_11,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)),skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2))),bind(B,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)))),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_12,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2))),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_13,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_14,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT2)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2))),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_15,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_16,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_17,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_18,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1)
| circle(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_19,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_20,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT2)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_21,plain,
midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_22,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_23,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_24,plain,
midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_21,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_26,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_27,plain,
cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_24,refute_0_26]) ).
cnf(refute_0_28,plain,
cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1) )],[refute_0_27,refute_0_20]) ).
cnf(refute_0_29,plain,
circle(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1) )],[refute_0_28,refute_0_18]) ).
cnf(refute_0_30,plain,
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_31,plain,
( ~ circle(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_32,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_29,refute_0_31]) ).
cnf(refute_0_33,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2) )],[refute_0_32,refute_0_16]) ).
cnf(refute_0_34,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1) )],[refute_0_33,refute_0_14]) ).
cnf(refute_0_35,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_36,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2))
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_35:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2))),bind(H,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_37,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)) )],[refute_0_34,refute_0_36]) ).
cnf(refute_0_38,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1) )],[refute_0_37,refute_0_12]) ).
cnf(refute_0_39,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)),skolemFOFtoCNF_B_1) )],[refute_0_38,refute_0_11]) ).
cnf(refute_0_40,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)) )],[refute_0_39,refute_0_10]) ).
cnf(refute_0_41,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),X_5145)
| ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_5145,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2))),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_5145))]]) ).
cnf(refute_0_42,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),X_5145)
| coll(skolemFOFtoCNF_B_1,X_5145,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ coll(X_670,X_669,X_670)
| coll(X_670,X_670,X_669) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_670)),bind(B,$fot(X_669)),bind(C,$fot(X_670))]]) ).
cnf(refute_0_44,plain,
( ~ coll(X_667,X_668,X_668)
| coll(X_668,X_667,X_668) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_667)),bind(B,$fot(X_668)),bind(C,$fot(X_668))]]) ).
cnf(refute_0_45,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_46,plain,
( ~ para(X_665,X_666,X_665,X_666)
| coll(X_665,X_666,X_666) ),
inference(subst,[],[refute_0_45:[bind(A,$fot(X_665)),bind(B,$fot(X_666)),bind(C,$fot(X_666))]]) ).
cnf(refute_0_47,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_48,plain,
( ~ eqangle(X_663,X_664,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_663,X_664,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| para(X_663,X_664,X_663,X_664) ),
inference(subst,[],[refute_0_47:[bind(A,$fot(X_663)),bind(B,$fot(X_664)),bind(C,$fot(X_663)),bind(D,$fot(X_664)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_49,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_50,plain,
( ~ cyclic(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_49:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_51,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_39]) ).
cnf(refute_0_52,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_51:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_53,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_54,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I)
| midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_55,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_57,plain,
cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
cyclic(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1) )],[refute_0_57,refute_0_52]) ).
cnf(refute_0_59,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_58,refute_0_50]) ).
cnf(refute_0_60,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_61,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_60:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_62,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_59,refute_0_61]) ).
cnf(refute_0_63,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_47:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_64,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_66,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154) ),
inference(subst,[],[refute_0_65:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(X_153)),bind(Q,$fot(X_154))]]) ).
cnf(refute_0_67,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_64,refute_0_66]) ).
cnf(refute_0_68,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_657,X_658,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_657,X_658),
inference(subst,[],[refute_0_67:[bind(X_153,$fot(X_657)),bind(X_154,$fot(X_658))]]) ).
cnf(refute_0_69,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_70,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_657,X_658,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_657,X_658)
| eqangle(X_657,X_658,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_657,X_658,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_657)),bind(D,$fot(X_658)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1)),bind(U,$fot(X_657)),bind(V,$fot(X_658))]]) ).
cnf(refute_0_71,plain,
eqangle(X_657,X_658,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_657,X_658,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_657,X_658,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_657,X_658) )],[refute_0_68,refute_0_70]) ).
cnf(refute_0_72,plain,
eqangle(X_663,X_664,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_663,X_664,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_71:[bind(X_657,$fot(X_663)),bind(X_658,$fot(X_664))]]) ).
cnf(refute_0_73,plain,
para(X_663,X_664,X_663,X_664),
inference(resolve,[$cnf( eqangle(X_663,X_664,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_663,X_664,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_72,refute_0_48]) ).
cnf(refute_0_74,plain,
para(X_665,X_666,X_665,X_666),
inference(subst,[],[refute_0_73:[bind(X_663,$fot(X_665)),bind(X_664,$fot(X_666))]]) ).
cnf(refute_0_75,plain,
coll(X_665,X_666,X_666),
inference(resolve,[$cnf( para(X_665,X_666,X_665,X_666) )],[refute_0_74,refute_0_46]) ).
cnf(refute_0_76,plain,
coll(X_667,X_668,X_668),
inference(subst,[],[refute_0_75:[bind(X_665,$fot(X_667)),bind(X_666,$fot(X_668))]]) ).
cnf(refute_0_77,plain,
coll(X_668,X_667,X_668),
inference(resolve,[$cnf( coll(X_667,X_668,X_668) )],[refute_0_76,refute_0_44]) ).
cnf(refute_0_78,plain,
coll(X_670,X_669,X_670),
inference(subst,[],[refute_0_77:[bind(X_667,$fot(X_669)),bind(X_668,$fot(X_670))]]) ).
cnf(refute_0_79,plain,
coll(X_670,X_670,X_669),
inference(resolve,[$cnf( coll(X_670,X_669,X_670) )],[refute_0_78,refute_0_43]) ).
cnf(refute_0_80,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),X_5145),
inference(subst,[],[refute_0_79:[bind(X_669,$fot(X_5145)),bind(X_670,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)))]]) ).
cnf(refute_0_81,plain,
coll(skolemFOFtoCNF_B_1,X_5145,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),X_5145) )],[refute_0_80,refute_0_42]) ).
cnf(refute_0_82,plain,
coll(skolemFOFtoCNF_B_1,X_5266,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)),
inference(subst,[],[refute_0_81:[bind(X_5145,$fot(X_5266))]]) ).
cnf(refute_0_83,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),X_5266),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_5266,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)) )],[refute_0_82,refute_0_9]) ).
cnf(refute_0_84,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),X_5301),
inference(subst,[],[refute_0_83:[bind(X_5266,$fot(X_5301))]]) ).
cnf(refute_0_85,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1,X_5301),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),X_5301) )],[refute_0_84,refute_0_8]) ).
cnf(refute_0_86,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1,X_5302),
inference(subst,[],[refute_0_85:[bind(X_5301,$fot(X_5302))]]) ).
cnf(refute_0_87,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1,C)
| coll(C,X_5302,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1,X_5302) )],[refute_0_86,refute_0_6]) ).
cnf(refute_0_88,plain,
( ~ coll(X_5238,skolemFOFtoCNF_IC,C)
| ~ coll(X_5238,skolemFOFtoCNF_IC,X_5239)
| coll(C,X_5239,X_5238) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5238)),bind(B,$fot(skolemFOFtoCNF_IC)),bind(D,$fot(X_5239))]]) ).
cnf(refute_0_89,plain,
( ~ coll(X_5204,skolemFOFtoCNF_C_1,C)
| ~ coll(X_5204,skolemFOFtoCNF_C_1,skolemFOFtoCNF_IC)
| coll(C,skolemFOFtoCNF_IC,X_5204) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5204)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_IC))]]) ).
cnf(refute_0_90,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_5185,skolemFOFtoCNF_IC)
| coll(X_5185,skolemFOFtoCNF_C_1,skolemFOFtoCNF_IC) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_5185)),bind(C,$fot(skolemFOFtoCNF_IC))]]) ).
cnf(refute_0_91,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_IC)
| coll(skolemFOFtoCNF_IC,skolemFOFtoCNF_IC,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_IC)),bind(D,$fot(skolemFOFtoCNF_IC))]]) ).
cnf(refute_0_92,plain,
coll(skolemFOFtoCNF_IC,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_93,plain,
( ~ coll(skolemFOFtoCNF_IC,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_IC,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_IC)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_94,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_IC,skolemFOFtoCNF_I),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_IC,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_IC,skolemFOFtoCNF_I)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_IC) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_IC)),bind(C,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_96,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_IC),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_IC,skolemFOFtoCNF_I) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
coll(skolemFOFtoCNF_IC,skolemFOFtoCNF_IC,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_IC) )],[refute_0_96,refute_0_91]) ).
cnf(refute_0_98,plain,
( ~ coll(skolemFOFtoCNF_IC,skolemFOFtoCNF_IC,X_5145)
| ~ coll(skolemFOFtoCNF_IC,skolemFOFtoCNF_IC,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_5145,skolemFOFtoCNF_IC) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_IC)),bind(B,$fot(skolemFOFtoCNF_IC)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_5145))]]) ).
cnf(refute_0_99,plain,
( ~ coll(skolemFOFtoCNF_IC,skolemFOFtoCNF_IC,X_5145)
| coll(skolemFOFtoCNF_C_1,X_5145,skolemFOFtoCNF_IC) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_IC,skolemFOFtoCNF_IC,skolemFOFtoCNF_C_1) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
coll(skolemFOFtoCNF_IC,skolemFOFtoCNF_IC,X_5145),
inference(subst,[],[refute_0_79:[bind(X_669,$fot(X_5145)),bind(X_670,$fot(skolemFOFtoCNF_IC))]]) ).
cnf(refute_0_101,plain,
coll(skolemFOFtoCNF_C_1,X_5145,skolemFOFtoCNF_IC),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_IC,skolemFOFtoCNF_IC,X_5145) )],[refute_0_100,refute_0_99]) ).
cnf(refute_0_102,plain,
coll(skolemFOFtoCNF_C_1,X_5185,skolemFOFtoCNF_IC),
inference(subst,[],[refute_0_101:[bind(X_5145,$fot(X_5185))]]) ).
cnf(refute_0_103,plain,
coll(X_5185,skolemFOFtoCNF_C_1,skolemFOFtoCNF_IC),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_5185,skolemFOFtoCNF_IC) )],[refute_0_102,refute_0_90]) ).
cnf(refute_0_104,plain,
coll(X_5204,skolemFOFtoCNF_C_1,skolemFOFtoCNF_IC),
inference(subst,[],[refute_0_103:[bind(X_5185,$fot(X_5204))]]) ).
cnf(refute_0_105,plain,
( ~ coll(X_5204,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_IC,X_5204) ),
inference(resolve,[$cnf( coll(X_5204,skolemFOFtoCNF_C_1,skolemFOFtoCNF_IC) )],[refute_0_104,refute_0_89]) ).
cnf(refute_0_106,plain,
( ~ coll(X_667,X_668,X_668)
| coll(X_668,X_668,X_667) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_667)),bind(B,$fot(X_668)),bind(C,$fot(X_668)),bind(D,$fot(X_668))]]) ).
cnf(refute_0_107,plain,
coll(X_668,X_668,X_667),
inference(resolve,[$cnf( coll(X_667,X_668,X_668) )],[refute_0_76,refute_0_106]) ).
cnf(refute_0_108,plain,
coll(X_5143,X_5143,X_5144),
inference(subst,[],[refute_0_107:[bind(X_667,$fot(X_5144)),bind(X_668,$fot(X_5143))]]) ).
cnf(refute_0_109,plain,
( ~ coll(X_5143,X_5143,X_5144)
| ~ coll(X_5143,X_5143,X_5145)
| coll(X_5144,X_5145,X_5143) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5143)),bind(B,$fot(X_5143)),bind(C,$fot(X_5144)),bind(D,$fot(X_5145))]]) ).
cnf(refute_0_110,plain,
( ~ coll(X_5143,X_5143,X_5145)
| coll(X_5144,X_5145,X_5143) ),
inference(resolve,[$cnf( coll(X_5143,X_5143,X_5144) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
coll(X_5143,X_5143,X_5145),
inference(subst,[],[refute_0_79:[bind(X_669,$fot(X_5145)),bind(X_670,$fot(X_5143))]]) ).
cnf(refute_0_112,plain,
coll(X_5144,X_5145,X_5143),
inference(resolve,[$cnf( coll(X_5143,X_5143,X_5145) )],[refute_0_111,refute_0_110]) ).
cnf(refute_0_113,plain,
coll(X_5204,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_112:[bind(X_5143,$fot(C)),bind(X_5144,$fot(X_5204)),bind(X_5145,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_114,plain,
coll(C,skolemFOFtoCNF_IC,X_5204),
inference(resolve,[$cnf( coll(X_5204,skolemFOFtoCNF_C_1,C) )],[refute_0_113,refute_0_105]) ).
cnf(refute_0_115,plain,
coll(X_5238,skolemFOFtoCNF_IC,X_5239),
inference(subst,[],[refute_0_114:[bind(C,$fot(X_5238)),bind(X_5204,$fot(X_5239))]]) ).
cnf(refute_0_116,plain,
( ~ coll(X_5238,skolemFOFtoCNF_IC,C)
| coll(C,X_5239,X_5238) ),
inference(resolve,[$cnf( coll(X_5238,skolemFOFtoCNF_IC,X_5239) )],[refute_0_115,refute_0_88]) ).
cnf(refute_0_117,plain,
( ~ coll(X_5230,skolemFOFtoCNF_C_1,C)
| ~ coll(X_5230,skolemFOFtoCNF_C_1,X_5231)
| coll(C,X_5231,X_5230) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5230)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_5231))]]) ).
cnf(refute_0_118,plain,
( ~ coll(X_5229,skolemFOFtoCNF_MIDPNT3,C)
| ~ coll(X_5229,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,X_5229) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5229)),bind(B,$fot(skolemFOFtoCNF_MIDPNT3)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_119,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_5190,C)
| ~ coll(skolemFOFtoCNF_C_1,X_5190,skolemFOFtoCNF_MIDPNT3)
| coll(C,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_5190)),bind(D,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_120,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3)
| coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT3)),bind(D,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_121,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_122,plain,
midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_123,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_124,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_125,plain,
coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) )],[refute_0_122,refute_0_124]) ).
cnf(refute_0_126,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) )],[refute_0_125,refute_0_121]) ).
cnf(refute_0_127,plain,
coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3) )],[refute_0_126,refute_0_120]) ).
cnf(refute_0_128,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,X_5145)
| ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_5145,skolemFOFtoCNF_MIDPNT3) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_MIDPNT3)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_5145))]]) ).
cnf(refute_0_129,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,X_5145)
| coll(skolemFOFtoCNF_C_1,X_5145,skolemFOFtoCNF_MIDPNT3) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,X_5145),
inference(subst,[],[refute_0_79:[bind(X_669,$fot(X_5145)),bind(X_670,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_131,plain,
coll(skolemFOFtoCNF_C_1,X_5145,skolemFOFtoCNF_MIDPNT3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,X_5145) )],[refute_0_130,refute_0_129]) ).
cnf(refute_0_132,plain,
coll(skolemFOFtoCNF_C_1,X_5190,skolemFOFtoCNF_MIDPNT3),
inference(subst,[],[refute_0_131:[bind(X_5145,$fot(X_5190))]]) ).
cnf(refute_0_133,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_5190,C)
| coll(C,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_5190,skolemFOFtoCNF_MIDPNT3) )],[refute_0_132,refute_0_119]) ).
cnf(refute_0_134,plain,
coll(skolemFOFtoCNF_C_1,X_5190,C),
inference(subst,[],[refute_0_112:[bind(X_5143,$fot(C)),bind(X_5144,$fot(skolemFOFtoCNF_C_1)),bind(X_5145,$fot(X_5190))]]) ).
cnf(refute_0_135,plain,
coll(C,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_5190,C) )],[refute_0_134,refute_0_133]) ).
cnf(refute_0_136,plain,
coll(X_5229,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_135:[bind(C,$fot(X_5229))]]) ).
cnf(refute_0_137,plain,
( ~ coll(X_5229,skolemFOFtoCNF_MIDPNT3,C)
| coll(C,skolemFOFtoCNF_C_1,X_5229) ),
inference(resolve,[$cnf( coll(X_5229,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1) )],[refute_0_136,refute_0_118]) ).
cnf(refute_0_138,plain,
( ~ coll(X_5226,skolemFOFtoCNF_M_3,C)
| ~ coll(X_5226,skolemFOFtoCNF_M_3,X_5227)
| coll(C,X_5227,X_5226) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5226)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(X_5227))]]) ).
cnf(refute_0_139,plain,
( ~ coll(X_5181,skolemFOFtoCNF_B_1,C)
| ~ coll(X_5181,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3)
| coll(C,skolemFOFtoCNF_M_3,X_5181) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5181)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_140,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_5172,skolemFOFtoCNF_M_3)
| coll(X_5172,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_5172)),bind(C,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_141,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3)
| coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_142,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_45:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_143,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_47:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_M_3)),bind(P,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_144,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_145,plain,
( ~ eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_B_1)),bind(U,$fot(skolemFOFtoCNF_B_1)),bind(V,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_146,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1) )],[refute_0_146,refute_0_143]) ).
cnf(refute_0_148,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3) )],[refute_0_147,refute_0_142]) ).
cnf(refute_0_149,plain,
coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3) )],[refute_0_148,refute_0_141]) ).
cnf(refute_0_150,plain,
( ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,X_5145)
| ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_5145,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_5145))]]) ).
cnf(refute_0_151,plain,
( ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,X_5145)
| coll(skolemFOFtoCNF_B_1,X_5145,skolemFOFtoCNF_M_3) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,X_5145),
inference(subst,[],[refute_0_79:[bind(X_669,$fot(X_5145)),bind(X_670,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_153,plain,
coll(skolemFOFtoCNF_B_1,X_5145,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,X_5145) )],[refute_0_152,refute_0_151]) ).
cnf(refute_0_154,plain,
coll(skolemFOFtoCNF_B_1,X_5172,skolemFOFtoCNF_M_3),
inference(subst,[],[refute_0_153:[bind(X_5145,$fot(X_5172))]]) ).
cnf(refute_0_155,plain,
coll(X_5172,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_5172,skolemFOFtoCNF_M_3) )],[refute_0_154,refute_0_140]) ).
cnf(refute_0_156,plain,
coll(X_5181,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3),
inference(subst,[],[refute_0_155:[bind(X_5172,$fot(X_5181))]]) ).
cnf(refute_0_157,plain,
( ~ coll(X_5181,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_M_3,X_5181) ),
inference(resolve,[$cnf( coll(X_5181,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3) )],[refute_0_156,refute_0_139]) ).
cnf(refute_0_158,plain,
coll(X_5181,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_112:[bind(X_5143,$fot(C)),bind(X_5144,$fot(X_5181)),bind(X_5145,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_159,plain,
coll(C,skolemFOFtoCNF_M_3,X_5181),
inference(resolve,[$cnf( coll(X_5181,skolemFOFtoCNF_B_1,C) )],[refute_0_158,refute_0_157]) ).
cnf(refute_0_160,plain,
coll(X_5226,skolemFOFtoCNF_M_3,X_5227),
inference(subst,[],[refute_0_159:[bind(C,$fot(X_5226)),bind(X_5181,$fot(X_5227))]]) ).
cnf(refute_0_161,plain,
( ~ coll(X_5226,skolemFOFtoCNF_M_3,C)
| coll(C,X_5227,X_5226) ),
inference(resolve,[$cnf( coll(X_5226,skolemFOFtoCNF_M_3,X_5227) )],[refute_0_160,refute_0_138]) ).
cnf(refute_0_162,plain,
( ~ coll(X_5224,skolemFOFtoCNF_A,C)
| ~ coll(X_5224,skolemFOFtoCNF_A,X_5225)
| coll(C,X_5225,X_5224) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5224)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_5225))]]) ).
cnf(refute_0_163,plain,
( ~ coll(X_5179,skolemFOFtoCNF_IB,C)
| ~ coll(X_5179,skolemFOFtoCNF_IB,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,X_5179) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5179)),bind(B,$fot(skolemFOFtoCNF_IB)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_164,plain,
( ~ coll(skolemFOFtoCNF_A,X_5167,C)
| ~ coll(skolemFOFtoCNF_A,X_5167,skolemFOFtoCNF_IB)
| coll(C,skolemFOFtoCNF_IB,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_5167)),bind(D,$fot(skolemFOFtoCNF_IB))]]) ).
cnf(refute_0_165,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_IC,skolemFOFtoCNF_IB)
| coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_IC)),bind(C,$fot(skolemFOFtoCNF_IB)),bind(D,$fot(skolemFOFtoCNF_IB))]]) ).
cnf(refute_0_166,plain,
midp(skolemFOFtoCNF_A,skolemFOFtoCNF_IB,skolemFOFtoCNF_IC),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_167,plain,
( ~ midp(skolemFOFtoCNF_A,skolemFOFtoCNF_IB,skolemFOFtoCNF_IC)
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_IC,skolemFOFtoCNF_IB) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_IC)),bind(B,$fot(skolemFOFtoCNF_IB)),bind(M,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_168,plain,
midp(skolemFOFtoCNF_A,skolemFOFtoCNF_IC,skolemFOFtoCNF_IB),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,skolemFOFtoCNF_IB,skolemFOFtoCNF_IC) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
( ~ midp(skolemFOFtoCNF_A,skolemFOFtoCNF_IC,skolemFOFtoCNF_IB)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_IC,skolemFOFtoCNF_IB) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_IC)),bind(C,$fot(skolemFOFtoCNF_IB))]]) ).
cnf(refute_0_170,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_IC,skolemFOFtoCNF_IB),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,skolemFOFtoCNF_IC,skolemFOFtoCNF_IB) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_IC,skolemFOFtoCNF_IB) )],[refute_0_170,refute_0_165]) ).
cnf(refute_0_172,plain,
( ~ coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,X_5145)
| ~ coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_5145,skolemFOFtoCNF_IB) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_IB)),bind(B,$fot(skolemFOFtoCNF_IB)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_5145))]]) ).
cnf(refute_0_173,plain,
( ~ coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,X_5145)
| coll(skolemFOFtoCNF_A,X_5145,skolemFOFtoCNF_IB) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_A) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,X_5145),
inference(subst,[],[refute_0_79:[bind(X_669,$fot(X_5145)),bind(X_670,$fot(skolemFOFtoCNF_IB))]]) ).
cnf(refute_0_175,plain,
coll(skolemFOFtoCNF_A,X_5145,skolemFOFtoCNF_IB),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,X_5145) )],[refute_0_174,refute_0_173]) ).
cnf(refute_0_176,plain,
coll(skolemFOFtoCNF_A,X_5167,skolemFOFtoCNF_IB),
inference(subst,[],[refute_0_175:[bind(X_5145,$fot(X_5167))]]) ).
cnf(refute_0_177,plain,
( ~ coll(skolemFOFtoCNF_A,X_5167,C)
| coll(C,skolemFOFtoCNF_IB,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_5167,skolemFOFtoCNF_IB) )],[refute_0_176,refute_0_164]) ).
cnf(refute_0_178,plain,
coll(skolemFOFtoCNF_A,X_5167,C),
inference(subst,[],[refute_0_112:[bind(X_5143,$fot(C)),bind(X_5144,$fot(skolemFOFtoCNF_A)),bind(X_5145,$fot(X_5167))]]) ).
cnf(refute_0_179,plain,
coll(C,skolemFOFtoCNF_IB,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_5167,C) )],[refute_0_178,refute_0_177]) ).
cnf(refute_0_180,plain,
coll(X_5179,skolemFOFtoCNF_IB,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_179:[bind(C,$fot(X_5179))]]) ).
cnf(refute_0_181,plain,
( ~ coll(X_5179,skolemFOFtoCNF_IB,C)
| coll(C,skolemFOFtoCNF_A,X_5179) ),
inference(resolve,[$cnf( coll(X_5179,skolemFOFtoCNF_IB,skolemFOFtoCNF_A) )],[refute_0_180,refute_0_163]) ).
cnf(refute_0_182,plain,
coll(X_5179,skolemFOFtoCNF_IB,C),
inference(subst,[],[refute_0_112:[bind(X_5143,$fot(C)),bind(X_5144,$fot(X_5179)),bind(X_5145,$fot(skolemFOFtoCNF_IB))]]) ).
cnf(refute_0_183,plain,
coll(C,skolemFOFtoCNF_A,X_5179),
inference(resolve,[$cnf( coll(X_5179,skolemFOFtoCNF_IB,C) )],[refute_0_182,refute_0_181]) ).
cnf(refute_0_184,plain,
coll(X_5224,skolemFOFtoCNF_A,X_5225),
inference(subst,[],[refute_0_183:[bind(C,$fot(X_5224)),bind(X_5179,$fot(X_5225))]]) ).
cnf(refute_0_185,plain,
( ~ coll(X_5224,skolemFOFtoCNF_A,C)
| coll(C,X_5225,X_5224) ),
inference(resolve,[$cnf( coll(X_5224,skolemFOFtoCNF_A,X_5225) )],[refute_0_184,refute_0_162]) ).
cnf(refute_0_186,plain,
coll(X_5224,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_112:[bind(X_5143,$fot(C)),bind(X_5144,$fot(X_5224)),bind(X_5145,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_187,plain,
coll(C,X_5225,X_5224),
inference(resolve,[$cnf( coll(X_5224,skolemFOFtoCNF_A,C) )],[refute_0_186,refute_0_185]) ).
cnf(refute_0_188,plain,
coll(X_5226,skolemFOFtoCNF_M_3,C),
inference(subst,[],[refute_0_187:[bind(C,$fot(X_5226)),bind(X_5224,$fot(C)),bind(X_5225,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_189,plain,
coll(C,X_5227,X_5226),
inference(resolve,[$cnf( coll(X_5226,skolemFOFtoCNF_M_3,C) )],[refute_0_188,refute_0_161]) ).
cnf(refute_0_190,plain,
coll(X_5229,skolemFOFtoCNF_MIDPNT3,C),
inference(subst,[],[refute_0_189:[bind(C,$fot(X_5229)),bind(X_5226,$fot(C)),bind(X_5227,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_191,plain,
coll(C,skolemFOFtoCNF_C_1,X_5229),
inference(resolve,[$cnf( coll(X_5229,skolemFOFtoCNF_MIDPNT3,C) )],[refute_0_190,refute_0_137]) ).
cnf(refute_0_192,plain,
coll(X_5230,skolemFOFtoCNF_C_1,X_5231),
inference(subst,[],[refute_0_191:[bind(C,$fot(X_5230)),bind(X_5229,$fot(X_5231))]]) ).
cnf(refute_0_193,plain,
( ~ coll(X_5230,skolemFOFtoCNF_C_1,C)
| coll(C,X_5231,X_5230) ),
inference(resolve,[$cnf( coll(X_5230,skolemFOFtoCNF_C_1,X_5231) )],[refute_0_192,refute_0_117]) ).
cnf(refute_0_194,plain,
coll(X_5230,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_189:[bind(C,$fot(X_5230)),bind(X_5226,$fot(C)),bind(X_5227,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_195,plain,
coll(C,X_5231,X_5230),
inference(resolve,[$cnf( coll(X_5230,skolemFOFtoCNF_C_1,C) )],[refute_0_194,refute_0_193]) ).
cnf(refute_0_196,plain,
coll(X_5238,skolemFOFtoCNF_IC,C),
inference(subst,[],[refute_0_195:[bind(C,$fot(X_5238)),bind(X_5230,$fot(C)),bind(X_5231,$fot(skolemFOFtoCNF_IC))]]) ).
cnf(refute_0_197,plain,
coll(C,X_5239,X_5238),
inference(resolve,[$cnf( coll(X_5238,skolemFOFtoCNF_IC,C) )],[refute_0_196,refute_0_116]) ).
cnf(refute_0_198,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_197:[bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2))),bind(X_5238,$fot(C)),bind(X_5239,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_199,plain,
coll(C,X_5302,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1,C) )],[refute_0_198,refute_0_87]) ).
cnf(refute_0_200,plain,
coll(X_5374,X_5375,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)),
inference(subst,[],[refute_0_199:[bind(C,$fot(X_5374)),bind(X_5302,$fot(X_5375))]]) ).
cnf(refute_0_201,plain,
coll(X_5374,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),X_5375),
inference(resolve,[$cnf( coll(X_5374,X_5375,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)) )],[refute_0_200,refute_0_5]) ).
cnf(refute_0_202,plain,
coll(X_5376,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),X_5377),
inference(subst,[],[refute_0_201:[bind(X_5374,$fot(X_5376)),bind(X_5375,$fot(X_5377))]]) ).
cnf(refute_0_203,plain,
( ~ coll(X_5376,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),C)
| coll(C,X_5377,X_5376) ),
inference(resolve,[$cnf( coll(X_5376,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),X_5377) )],[refute_0_202,refute_0_3]) ).
cnf(refute_0_204,plain,
( ~ coll(X_5340,skolemFOFtoCNF_MIDPNT2,C)
| ~ coll(X_5340,skolemFOFtoCNF_MIDPNT2,X_5341)
| coll(C,X_5341,X_5340) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5340)),bind(B,$fot(skolemFOFtoCNF_MIDPNT2)),bind(D,$fot(X_5341))]]) ).
cnf(refute_0_205,plain,
( ~ coll(X_5338,X_5339,skolemFOFtoCNF_MIDPNT2)
| coll(X_5338,skolemFOFtoCNF_MIDPNT2,X_5339) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5338)),bind(B,$fot(X_5339)),bind(C,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_206,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,C)
| ~ coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,X_5262)
| coll(C,X_5262,skolemFOFtoCNF_MIDPNT2) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_5262))]]) ).
cnf(refute_0_207,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,X_5206)
| coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,X_5206) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT2)),bind(C,$fot(X_5206))]]) ).
cnf(refute_0_208,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_5189,skolemFOFtoCNF_MIDPNT2)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,X_5189) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_5189)),bind(C,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_209,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2)
| coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT2)),bind(D,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_210,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT2)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_211,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_212,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_213,plain,
coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_21,refute_0_212]) ).
cnf(refute_0_214,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_213,refute_0_211]) ).
cnf(refute_0_215,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1) )],[refute_0_214,refute_0_210]) ).
cnf(refute_0_216,plain,
coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2) )],[refute_0_215,refute_0_209]) ).
cnf(refute_0_217,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,X_5145)
| ~ coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_5145,skolemFOFtoCNF_MIDPNT2) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_MIDPNT2)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_5145))]]) ).
cnf(refute_0_218,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,X_5145)
| coll(skolemFOFtoCNF_B_1,X_5145,skolemFOFtoCNF_MIDPNT2) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,X_5145),
inference(subst,[],[refute_0_79:[bind(X_669,$fot(X_5145)),bind(X_670,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_220,plain,
coll(skolemFOFtoCNF_B_1,X_5145,skolemFOFtoCNF_MIDPNT2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,X_5145) )],[refute_0_219,refute_0_218]) ).
cnf(refute_0_221,plain,
coll(skolemFOFtoCNF_B_1,X_5189,skolemFOFtoCNF_MIDPNT2),
inference(subst,[],[refute_0_220:[bind(X_5145,$fot(X_5189))]]) ).
cnf(refute_0_222,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,X_5189),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_5189,skolemFOFtoCNF_MIDPNT2) )],[refute_0_221,refute_0_208]) ).
cnf(refute_0_223,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,X_5206),
inference(subst,[],[refute_0_222:[bind(X_5189,$fot(X_5206))]]) ).
cnf(refute_0_224,plain,
coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,X_5206),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,X_5206) )],[refute_0_223,refute_0_207]) ).
cnf(refute_0_225,plain,
coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,X_5262),
inference(subst,[],[refute_0_224:[bind(X_5206,$fot(X_5262))]]) ).
cnf(refute_0_226,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,C)
| coll(C,X_5262,skolemFOFtoCNF_MIDPNT2) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,X_5262) )],[refute_0_225,refute_0_206]) ).
cnf(refute_0_227,plain,
coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_197:[bind(C,$fot(skolemFOFtoCNF_MIDPNT2)),bind(X_5238,$fot(C)),bind(X_5239,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_228,plain,
coll(C,X_5262,skolemFOFtoCNF_MIDPNT2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,C) )],[refute_0_227,refute_0_226]) ).
cnf(refute_0_229,plain,
coll(X_5338,X_5339,skolemFOFtoCNF_MIDPNT2),
inference(subst,[],[refute_0_228:[bind(C,$fot(X_5338)),bind(X_5262,$fot(X_5339))]]) ).
cnf(refute_0_230,plain,
coll(X_5338,skolemFOFtoCNF_MIDPNT2,X_5339),
inference(resolve,[$cnf( coll(X_5338,X_5339,skolemFOFtoCNF_MIDPNT2) )],[refute_0_229,refute_0_205]) ).
cnf(refute_0_231,plain,
coll(X_5340,skolemFOFtoCNF_MIDPNT2,X_5341),
inference(subst,[],[refute_0_230:[bind(X_5338,$fot(X_5340)),bind(X_5339,$fot(X_5341))]]) ).
cnf(refute_0_232,plain,
( ~ coll(X_5340,skolemFOFtoCNF_MIDPNT2,C)
| coll(C,X_5341,X_5340) ),
inference(resolve,[$cnf( coll(X_5340,skolemFOFtoCNF_MIDPNT2,X_5341) )],[refute_0_231,refute_0_204]) ).
cnf(refute_0_233,plain,
( ~ coll(X_5332,skolemFOFtoCNF_B_1,C)
| ~ coll(X_5332,skolemFOFtoCNF_B_1,X_5333)
| coll(C,X_5333,X_5332) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5332)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_5333))]]) ).
cnf(refute_0_234,plain,
( ~ coll(X_5208,skolemFOFtoCNF_C_1,C)
| ~ coll(X_5208,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_5208) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5208)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_235,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_5162,C)
| ~ coll(skolemFOFtoCNF_B_1,X_5162,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_5162)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_236,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_237,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT2)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_238,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_239,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_240,plain,
coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_24,refute_0_239]) ).
cnf(refute_0_241,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_240,refute_0_238]) ).
cnf(refute_0_242,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1) )],[refute_0_241,refute_0_237]) ).
cnf(refute_0_243,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_242,refute_0_236]) ).
cnf(refute_0_244,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_5145)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_5145,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_5145))]]) ).
cnf(refute_0_245,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_5145)
| coll(skolemFOFtoCNF_B_1,X_5145,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_5145),
inference(subst,[],[refute_0_79:[bind(X_669,$fot(X_5145)),bind(X_670,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_247,plain,
coll(skolemFOFtoCNF_B_1,X_5145,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_5145) )],[refute_0_246,refute_0_245]) ).
cnf(refute_0_248,plain,
coll(skolemFOFtoCNF_B_1,X_5162,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_247:[bind(X_5145,$fot(X_5162))]]) ).
cnf(refute_0_249,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_5162,C)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_5162,skolemFOFtoCNF_C_1) )],[refute_0_248,refute_0_235]) ).
cnf(refute_0_250,plain,
coll(skolemFOFtoCNF_B_1,X_5162,C),
inference(subst,[],[refute_0_112:[bind(X_5143,$fot(C)),bind(X_5144,$fot(skolemFOFtoCNF_B_1)),bind(X_5145,$fot(X_5162))]]) ).
cnf(refute_0_251,plain,
coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_5162,C) )],[refute_0_250,refute_0_249]) ).
cnf(refute_0_252,plain,
coll(X_5208,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_251:[bind(C,$fot(X_5208))]]) ).
cnf(refute_0_253,plain,
( ~ coll(X_5208,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_B_1,X_5208) ),
inference(resolve,[$cnf( coll(X_5208,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_252,refute_0_234]) ).
cnf(refute_0_254,plain,
coll(X_5208,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_112:[bind(X_5143,$fot(C)),bind(X_5144,$fot(X_5208)),bind(X_5145,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_255,plain,
coll(C,skolemFOFtoCNF_B_1,X_5208),
inference(resolve,[$cnf( coll(X_5208,skolemFOFtoCNF_C_1,C) )],[refute_0_254,refute_0_253]) ).
cnf(refute_0_256,plain,
coll(X_5332,skolemFOFtoCNF_B_1,X_5333),
inference(subst,[],[refute_0_255:[bind(C,$fot(X_5332)),bind(X_5208,$fot(X_5333))]]) ).
cnf(refute_0_257,plain,
( ~ coll(X_5332,skolemFOFtoCNF_B_1,C)
| coll(C,X_5333,X_5332) ),
inference(resolve,[$cnf( coll(X_5332,skolemFOFtoCNF_B_1,X_5333) )],[refute_0_256,refute_0_233]) ).
cnf(refute_0_258,plain,
( ~ coll(X_5330,skolemFOFtoCNF_MIDPNT1,C)
| ~ coll(X_5330,skolemFOFtoCNF_MIDPNT1,X_5331)
| coll(C,X_5331,X_5330) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5330)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(D,$fot(X_5331))]]) ).
cnf(refute_0_259,plain,
( ~ coll(X_5328,X_5329,skolemFOFtoCNF_MIDPNT1)
| coll(X_5328,skolemFOFtoCNF_MIDPNT1,X_5329) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5328)),bind(B,$fot(X_5329)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_260,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,C)
| ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,X_5246)
| coll(C,X_5246,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_I)),bind(D,$fot(X_5246))]]) ).
cnf(refute_0_261,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,X_5166,skolemFOFtoCNF_I)
| coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,X_5166) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(X_5166)),bind(C,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_262,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I)
| coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_I)),bind(D,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_263,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I)
| coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_264,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I) )],[refute_0_53,refute_0_263]) ).
cnf(refute_0_265,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I) )],[refute_0_264,refute_0_262]) ).
cnf(refute_0_266,plain,
( ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,X_5145)
| ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_MIDPNT1)
| coll(skolemFOFtoCNF_MIDPNT1,X_5145,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1)),bind(D,$fot(X_5145))]]) ).
cnf(refute_0_267,plain,
( ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,X_5145)
| coll(skolemFOFtoCNF_MIDPNT1,X_5145,skolemFOFtoCNF_I) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_MIDPNT1) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,X_5145),
inference(subst,[],[refute_0_79:[bind(X_669,$fot(X_5145)),bind(X_670,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_269,plain,
coll(skolemFOFtoCNF_MIDPNT1,X_5145,skolemFOFtoCNF_I),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,X_5145) )],[refute_0_268,refute_0_267]) ).
cnf(refute_0_270,plain,
coll(skolemFOFtoCNF_MIDPNT1,X_5166,skolemFOFtoCNF_I),
inference(subst,[],[refute_0_269:[bind(X_5145,$fot(X_5166))]]) ).
cnf(refute_0_271,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,X_5166),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,X_5166,skolemFOFtoCNF_I) )],[refute_0_270,refute_0_261]) ).
cnf(refute_0_272,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,X_5246),
inference(subst,[],[refute_0_271:[bind(X_5166,$fot(X_5246))]]) ).
cnf(refute_0_273,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,C)
| coll(C,X_5246,skolemFOFtoCNF_MIDPNT1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,X_5246) )],[refute_0_272,refute_0_260]) ).
cnf(refute_0_274,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,C),
inference(subst,[],[refute_0_197:[bind(C,$fot(skolemFOFtoCNF_MIDPNT1)),bind(X_5238,$fot(C)),bind(X_5239,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_275,plain,
coll(C,X_5246,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,C) )],[refute_0_274,refute_0_273]) ).
cnf(refute_0_276,plain,
coll(X_5328,X_5329,skolemFOFtoCNF_MIDPNT1),
inference(subst,[],[refute_0_275:[bind(C,$fot(X_5328)),bind(X_5246,$fot(X_5329))]]) ).
cnf(refute_0_277,plain,
coll(X_5328,skolemFOFtoCNF_MIDPNT1,X_5329),
inference(resolve,[$cnf( coll(X_5328,X_5329,skolemFOFtoCNF_MIDPNT1) )],[refute_0_276,refute_0_259]) ).
cnf(refute_0_278,plain,
coll(X_5330,skolemFOFtoCNF_MIDPNT1,X_5331),
inference(subst,[],[refute_0_277:[bind(X_5328,$fot(X_5330)),bind(X_5329,$fot(X_5331))]]) ).
cnf(refute_0_279,plain,
( ~ coll(X_5330,skolemFOFtoCNF_MIDPNT1,C)
| coll(C,X_5331,X_5330) ),
inference(resolve,[$cnf( coll(X_5330,skolemFOFtoCNF_MIDPNT1,X_5331) )],[refute_0_278,refute_0_258]) ).
cnf(refute_0_280,plain,
( ~ coll(X_5316,skolemFOFtoCNF_MIDPNT3,C)
| ~ coll(X_5316,skolemFOFtoCNF_MIDPNT3,X_5317)
| coll(C,X_5317,X_5316) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5316)),bind(B,$fot(skolemFOFtoCNF_MIDPNT3)),bind(D,$fot(X_5317))]]) ).
cnf(refute_0_281,plain,
( ~ coll(X_5192,skolemFOFtoCNF_C_1,C)
| ~ coll(X_5192,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3)
| coll(C,skolemFOFtoCNF_MIDPNT3,X_5192) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5192)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_282,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_5190,skolemFOFtoCNF_MIDPNT3)
| coll(X_5190,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_5190)),bind(C,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_283,plain,
coll(X_5190,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_5190,skolemFOFtoCNF_MIDPNT3) )],[refute_0_132,refute_0_282]) ).
cnf(refute_0_284,plain,
coll(X_5192,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3),
inference(subst,[],[refute_0_283:[bind(X_5190,$fot(X_5192))]]) ).
cnf(refute_0_285,plain,
( ~ coll(X_5192,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_MIDPNT3,X_5192) ),
inference(resolve,[$cnf( coll(X_5192,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3) )],[refute_0_284,refute_0_281]) ).
cnf(refute_0_286,plain,
coll(X_5192,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_112:[bind(X_5143,$fot(C)),bind(X_5144,$fot(X_5192)),bind(X_5145,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_287,plain,
coll(C,skolemFOFtoCNF_MIDPNT3,X_5192),
inference(resolve,[$cnf( coll(X_5192,skolemFOFtoCNF_C_1,C) )],[refute_0_286,refute_0_285]) ).
cnf(refute_0_288,plain,
coll(X_5316,skolemFOFtoCNF_MIDPNT3,X_5317),
inference(subst,[],[refute_0_287:[bind(C,$fot(X_5316)),bind(X_5192,$fot(X_5317))]]) ).
cnf(refute_0_289,plain,
( ~ coll(X_5316,skolemFOFtoCNF_MIDPNT3,C)
| coll(C,X_5317,X_5316) ),
inference(resolve,[$cnf( coll(X_5316,skolemFOFtoCNF_MIDPNT3,X_5317) )],[refute_0_288,refute_0_280]) ).
cnf(refute_0_290,plain,
( ~ coll(X_5310,skolemFOFtoCNF_IB,C)
| ~ coll(X_5310,skolemFOFtoCNF_IB,X_5311)
| coll(C,X_5311,X_5310) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5310)),bind(B,$fot(skolemFOFtoCNF_IB)),bind(D,$fot(X_5311))]]) ).
cnf(refute_0_291,plain,
( ~ coll(X_5284,X_5285,skolemFOFtoCNF_IB)
| coll(X_5284,skolemFOFtoCNF_IB,X_5285) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5284)),bind(B,$fot(X_5285)),bind(C,$fot(skolemFOFtoCNF_IB))]]) ).
cnf(refute_0_292,plain,
( ~ coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),C)
| ~ coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),X_5282)
| coll(C,X_5282,skolemFOFtoCNF_IB) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_IB)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A))),bind(D,$fot(X_5282))]]) ).
cnf(refute_0_293,plain,
( ~ coll(skolemFOFtoCNF_IB,X_5281,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A))
| coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),X_5281) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_IB)),bind(B,$fot(X_5281)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_294,plain,
( ~ coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A))
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_IB) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_IB)),bind(B,$fot(skolemFOFtoCNF_IB)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A))),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_295,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)),skolemFOFtoCNF_IB)
| coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A))),bind(B,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)))),bind(C,$fot(skolemFOFtoCNF_IB)),bind(D,$fot(skolemFOFtoCNF_IB))]]) ).
cnf(refute_0_296,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_IB)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)),skolemFOFtoCNF_IB) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A))),bind(C,$fot(skolemFOFtoCNF_IB))]]) ).
cnf(refute_0_297,plain,
( ~ perp(skolemFOFtoCNF_IB,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_IB)
| perp(skolemFOFtoCNF_IB,skolemFOFtoCNF_A,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_IB)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A))),bind(D,$fot(skolemFOFtoCNF_IB))]]) ).
cnf(refute_0_298,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_IB,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_IB) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A))),bind(B,$fot(skolemFOFtoCNF_IB)),bind(C,$fot(skolemFOFtoCNF_IB)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_299,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_IB,skolemFOFtoCNF_A,skolemFOFtoCNF_IC)
| circle(skolemFOFtoCNF_A,skolemFOFtoCNF_IB,skolemFOFtoCNF_IC,skolemFOFtoCNF_IC) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(skolemFOFtoCNF_IB)),bind(B,$fot(skolemFOFtoCNF_IC)),bind(C,$fot(skolemFOFtoCNF_IC)),bind(O,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_300,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_IC,skolemFOFtoCNF_A,skolemFOFtoCNF_IB)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_IB,skolemFOFtoCNF_A,skolemFOFtoCNF_IC) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_IC)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_IB))]]) ).
cnf(refute_0_301,plain,
( ~ midp(skolemFOFtoCNF_A,skolemFOFtoCNF_IC,skolemFOFtoCNF_IB)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_IC,skolemFOFtoCNF_A,skolemFOFtoCNF_IB) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_IC)),bind(C,$fot(skolemFOFtoCNF_IB))]]) ).
cnf(refute_0_302,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_IC,skolemFOFtoCNF_A,skolemFOFtoCNF_IB),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,skolemFOFtoCNF_IC,skolemFOFtoCNF_IB) )],[refute_0_168,refute_0_301]) ).
cnf(refute_0_303,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_IB,skolemFOFtoCNF_A,skolemFOFtoCNF_IC),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_IC,skolemFOFtoCNF_A,skolemFOFtoCNF_IB) )],[refute_0_302,refute_0_300]) ).
cnf(refute_0_304,plain,
circle(skolemFOFtoCNF_A,skolemFOFtoCNF_IB,skolemFOFtoCNF_IC,skolemFOFtoCNF_IC),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_IB,skolemFOFtoCNF_A,skolemFOFtoCNF_IC) )],[refute_0_303,refute_0_299]) ).
cnf(refute_0_305,plain,
( ~ circle(skolemFOFtoCNF_A,skolemFOFtoCNF_IB,skolemFOFtoCNF_IC,skolemFOFtoCNF_IC)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(skolemFOFtoCNF_IB)),bind(B,$fot(skolemFOFtoCNF_IC)),bind(C,$fot(skolemFOFtoCNF_IC)),bind(O,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_306,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_A),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_A,skolemFOFtoCNF_IB,skolemFOFtoCNF_IC,skolemFOFtoCNF_IC) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
perp(skolemFOFtoCNF_IB,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_IB),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_A) )],[refute_0_306,refute_0_298]) ).
cnf(refute_0_308,plain,
perp(skolemFOFtoCNF_IB,skolemFOFtoCNF_A,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_IB,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_IB) )],[refute_0_307,refute_0_297]) ).
cnf(refute_0_309,plain,
( ~ perp(skolemFOFtoCNF_IB,skolemFOFtoCNF_A,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A))
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_IB) ),
inference(subst,[],[refute_0_35:[bind(A,$fot(skolemFOFtoCNF_IB)),bind(B,$fot(skolemFOFtoCNF_IB)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A))),bind(H,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_310,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_IB),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_IB,skolemFOFtoCNF_A,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)),skolemFOFtoCNF_IB),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_IB) )],[refute_0_310,refute_0_296]) ).
cnf(refute_0_312,plain,
coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)),skolemFOFtoCNF_IB) )],[refute_0_311,refute_0_295]) ).
cnf(refute_0_313,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_IB),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)) )],[refute_0_312,refute_0_294]) ).
cnf(refute_0_314,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),X_5145)
| ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_IB)
| coll(skolemFOFtoCNF_IB,X_5145,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A))),bind(C,$fot(skolemFOFtoCNF_IB)),bind(D,$fot(X_5145))]]) ).
cnf(refute_0_315,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),X_5145)
| coll(skolemFOFtoCNF_IB,X_5145,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_IB) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),X_5145),
inference(subst,[],[refute_0_79:[bind(X_669,$fot(X_5145)),bind(X_670,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_317,plain,
coll(skolemFOFtoCNF_IB,X_5145,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),X_5145) )],[refute_0_316,refute_0_315]) ).
cnf(refute_0_318,plain,
coll(skolemFOFtoCNF_IB,X_5281,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_317:[bind(X_5145,$fot(X_5281))]]) ).
cnf(refute_0_319,plain,
coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),X_5281),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_IB,X_5281,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)) )],[refute_0_318,refute_0_293]) ).
cnf(refute_0_320,plain,
coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),X_5282),
inference(subst,[],[refute_0_319:[bind(X_5281,$fot(X_5282))]]) ).
cnf(refute_0_321,plain,
( ~ coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),C)
| coll(C,X_5282,skolemFOFtoCNF_IB) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),X_5282) )],[refute_0_320,refute_0_292]) ).
cnf(refute_0_322,plain,
coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),C),
inference(subst,[],[refute_0_197:[bind(C,$fot(skolemFOFtoCNF_IB)),bind(X_5238,$fot(C)),bind(X_5239,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_323,plain,
coll(C,X_5282,skolemFOFtoCNF_IB),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_IB,skolemFOFtoCNF_P_4(skolemFOFtoCNF_IB,skolemFOFtoCNF_A),C) )],[refute_0_322,refute_0_321]) ).
cnf(refute_0_324,plain,
coll(X_5284,X_5285,skolemFOFtoCNF_IB),
inference(subst,[],[refute_0_323:[bind(C,$fot(X_5284)),bind(X_5282,$fot(X_5285))]]) ).
cnf(refute_0_325,plain,
coll(X_5284,skolemFOFtoCNF_IB,X_5285),
inference(resolve,[$cnf( coll(X_5284,X_5285,skolemFOFtoCNF_IB) )],[refute_0_324,refute_0_291]) ).
cnf(refute_0_326,plain,
coll(X_5310,skolemFOFtoCNF_IB,X_5311),
inference(subst,[],[refute_0_325:[bind(X_5284,$fot(X_5310)),bind(X_5285,$fot(X_5311))]]) ).
cnf(refute_0_327,plain,
( ~ coll(X_5310,skolemFOFtoCNF_IB,C)
| coll(C,X_5311,X_5310) ),
inference(resolve,[$cnf( coll(X_5310,skolemFOFtoCNF_IB,X_5311) )],[refute_0_326,refute_0_290]) ).
cnf(refute_0_328,plain,
( ~ coll(X_5304,skolemFOFtoCNF_I,C)
| ~ coll(X_5304,skolemFOFtoCNF_I,X_5305)
| coll(C,X_5305,X_5304) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5304)),bind(B,$fot(skolemFOFtoCNF_I)),bind(D,$fot(X_5305))]]) ).
cnf(refute_0_329,plain,
( ~ coll(X_5249,skolemFOFtoCNF_MIDPNT1,C)
| ~ coll(X_5249,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I)
| coll(C,skolemFOFtoCNF_I,X_5249) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_5249)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(D,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_330,plain,
( ~ coll(skolemFOFtoCNF_I,X_5187,C)
| ~ coll(skolemFOFtoCNF_I,X_5187,skolemFOFtoCNF_MIDPNT1)
| coll(C,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(X_5187)),bind(D,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_331,plain,
( ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1)
| coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_332,plain,
( ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_333,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_I,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_334,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_335,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1) )],[refute_0_55,refute_0_334]) ).
cnf(refute_0_336,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1) )],[refute_0_335,refute_0_333]) ).
cnf(refute_0_337,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1) )],[refute_0_336,refute_0_332]) ).
cnf(refute_0_338,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1) )],[refute_0_337,refute_0_331]) ).
cnf(refute_0_339,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_5145)
| ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I)
| coll(skolemFOFtoCNF_I,X_5145,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(C,$fot(skolemFOFtoCNF_I)),bind(D,$fot(X_5145))]]) ).
cnf(refute_0_340,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_5145)
| coll(skolemFOFtoCNF_I,X_5145,skolemFOFtoCNF_MIDPNT1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_5145),
inference(subst,[],[refute_0_79:[bind(X_669,$fot(X_5145)),bind(X_670,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_342,plain,
coll(skolemFOFtoCNF_I,X_5145,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_5145) )],[refute_0_341,refute_0_340]) ).
cnf(refute_0_343,plain,
coll(skolemFOFtoCNF_I,X_5187,skolemFOFtoCNF_MIDPNT1),
inference(subst,[],[refute_0_342:[bind(X_5145,$fot(X_5187))]]) ).
cnf(refute_0_344,plain,
( ~ coll(skolemFOFtoCNF_I,X_5187,C)
| coll(C,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,X_5187,skolemFOFtoCNF_MIDPNT1) )],[refute_0_343,refute_0_330]) ).
cnf(refute_0_345,plain,
coll(skolemFOFtoCNF_I,X_5187,C),
inference(subst,[],[refute_0_112:[bind(X_5143,$fot(C)),bind(X_5144,$fot(skolemFOFtoCNF_I)),bind(X_5145,$fot(X_5187))]]) ).
cnf(refute_0_346,plain,
coll(C,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,X_5187,C) )],[refute_0_345,refute_0_344]) ).
cnf(refute_0_347,plain,
coll(X_5249,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I),
inference(subst,[],[refute_0_346:[bind(C,$fot(X_5249))]]) ).
cnf(refute_0_348,plain,
( ~ coll(X_5249,skolemFOFtoCNF_MIDPNT1,C)
| coll(C,skolemFOFtoCNF_I,X_5249) ),
inference(resolve,[$cnf( coll(X_5249,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_I) )],[refute_0_347,refute_0_329]) ).
cnf(refute_0_349,plain,
coll(X_5249,skolemFOFtoCNF_MIDPNT1,C),
inference(subst,[],[refute_0_197:[bind(C,$fot(X_5249)),bind(X_5238,$fot(C)),bind(X_5239,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_350,plain,
coll(C,skolemFOFtoCNF_I,X_5249),
inference(resolve,[$cnf( coll(X_5249,skolemFOFtoCNF_MIDPNT1,C) )],[refute_0_349,refute_0_348]) ).
cnf(refute_0_351,plain,
coll(X_5304,skolemFOFtoCNF_I,X_5305),
inference(subst,[],[refute_0_350:[bind(C,$fot(X_5304)),bind(X_5249,$fot(X_5305))]]) ).
cnf(refute_0_352,plain,
( ~ coll(X_5304,skolemFOFtoCNF_I,C)
| coll(C,X_5305,X_5304) ),
inference(resolve,[$cnf( coll(X_5304,skolemFOFtoCNF_I,X_5305) )],[refute_0_351,refute_0_328]) ).
cnf(refute_0_353,plain,
coll(X_5304,skolemFOFtoCNF_I,C),
inference(subst,[],[refute_0_197:[bind(C,$fot(X_5304)),bind(X_5238,$fot(C)),bind(X_5239,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_354,plain,
coll(C,X_5305,X_5304),
inference(resolve,[$cnf( coll(X_5304,skolemFOFtoCNF_I,C) )],[refute_0_353,refute_0_352]) ).
cnf(refute_0_355,plain,
coll(X_5310,skolemFOFtoCNF_IB,C),
inference(subst,[],[refute_0_354:[bind(C,$fot(X_5310)),bind(X_5304,$fot(C)),bind(X_5305,$fot(skolemFOFtoCNF_IB))]]) ).
cnf(refute_0_356,plain,
coll(C,X_5311,X_5310),
inference(resolve,[$cnf( coll(X_5310,skolemFOFtoCNF_IB,C) )],[refute_0_355,refute_0_327]) ).
cnf(refute_0_357,plain,
coll(X_5316,skolemFOFtoCNF_MIDPNT3,C),
inference(subst,[],[refute_0_356:[bind(C,$fot(X_5316)),bind(X_5310,$fot(C)),bind(X_5311,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_358,plain,
coll(C,X_5317,X_5316),
inference(resolve,[$cnf( coll(X_5316,skolemFOFtoCNF_MIDPNT3,C) )],[refute_0_357,refute_0_289]) ).
cnf(refute_0_359,plain,
coll(X_5330,skolemFOFtoCNF_MIDPNT1,C),
inference(subst,[],[refute_0_358:[bind(C,$fot(X_5330)),bind(X_5316,$fot(C)),bind(X_5317,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_360,plain,
coll(C,X_5331,X_5330),
inference(resolve,[$cnf( coll(X_5330,skolemFOFtoCNF_MIDPNT1,C) )],[refute_0_359,refute_0_279]) ).
cnf(refute_0_361,plain,
coll(X_5332,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_360:[bind(C,$fot(X_5332)),bind(X_5330,$fot(C)),bind(X_5331,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_362,plain,
coll(C,X_5333,X_5332),
inference(resolve,[$cnf( coll(X_5332,skolemFOFtoCNF_B_1,C) )],[refute_0_361,refute_0_257]) ).
cnf(refute_0_363,plain,
coll(X_5340,skolemFOFtoCNF_MIDPNT2,C),
inference(subst,[],[refute_0_362:[bind(C,$fot(X_5340)),bind(X_5332,$fot(C)),bind(X_5333,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_364,plain,
coll(C,X_5341,X_5340),
inference(resolve,[$cnf( coll(X_5340,skolemFOFtoCNF_MIDPNT2,C) )],[refute_0_363,refute_0_232]) ).
cnf(refute_0_365,plain,
coll(X_5376,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),C),
inference(subst,[],[refute_0_364:[bind(C,$fot(X_5376)),bind(X_5340,$fot(C)),bind(X_5341,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2)))]]) ).
cnf(refute_0_366,plain,
coll(C,X_5377,X_5376),
inference(resolve,[$cnf( coll(X_5376,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2),C) )],[refute_0_365,refute_0_203]) ).
cnf(refute_0_367,plain,
coll(O,A,C),
inference(subst,[],[refute_0_366:[bind(C,$fot(O)),bind(X_5376,$fot(C)),bind(X_5377,$fot(A))]]) ).
cnf(refute_0_368,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_367,refute_0_1]) ).
cnf(refute_0_369,plain,
( ~ circle(X_32758,X_32755,X_32756,X_32757)
| perp(X_32755,X_32756,X_32756,X_32757) ),
inference(subst,[],[refute_0_368:[bind(A,$fot(X_32755)),bind(B,$fot(X_32756)),bind(C,$fot(X_32757)),bind(O,$fot(X_32758))]]) ).
cnf(refute_0_370,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_371,plain,
( ~ cong(X_21947,X_21945,X_21946,X_21947)
| cong(X_21947,X_21945,X_21947,X_21946) ),
inference(subst,[],[refute_0_370:[bind(A,$fot(X_21947)),bind(B,$fot(X_21945)),bind(C,$fot(X_21946)),bind(D,$fot(X_21947))]]) ).
cnf(refute_0_372,plain,
( ~ cong(X_21816,X_21817,X_21817,X_21815)
| cong(X_21817,X_21815,X_21816,X_21817) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_21816)),bind(B,$fot(X_21817)),bind(C,$fot(X_21817)),bind(D,$fot(X_21815))]]) ).
cnf(refute_0_373,plain,
( ~ cong(X_21664,X_21665,X_21663,X_21665)
| cong(X_21664,X_21665,X_21665,X_21663) ),
inference(subst,[],[refute_0_370:[bind(A,$fot(X_21664)),bind(B,$fot(X_21665)),bind(C,$fot(X_21663)),bind(D,$fot(X_21665))]]) ).
cnf(refute_0_374,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_375,plain,
( ~ midp(X_8203,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3))
| ~ para(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),D,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),D)
| midp(X_8203,D,D) ),
inference(subst,[],[refute_0_374:[bind(A,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3))),bind(B,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3))),bind(C,$fot(D)),bind(M,$fot(X_8203))]]) ).
cnf(refute_0_376,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_377,plain,
( ~ coll(X_8202,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3))
| ~ cong(X_8202,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8202,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3))
| midp(X_8202,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)) ),
inference(subst,[],[refute_0_376:[bind(A,$fot(X_8202)),bind(B,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3))),bind(C,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)))]]) ).
cnf(refute_0_378,plain,
( ~ cong(X_8200,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8200)
| cong(X_8200,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8200,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)) ),
inference(subst,[],[refute_0_370:[bind(A,$fot(X_8200)),bind(B,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3))),bind(C,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3))),bind(D,$fot(X_8200))]]) ).
cnf(refute_0_379,plain,
( ~ cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8198,X_8198,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3))
| cong(X_8198,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8198) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3))),bind(B,$fot(X_8198)),bind(C,$fot(X_8198)),bind(D,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)))]]) ).
cnf(refute_0_380,plain,
( ~ cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8097,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8097)
| cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8097,X_8097,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)) ),
inference(subst,[],[refute_0_370:[bind(A,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3))),bind(B,$fot(X_8097)),bind(C,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3))),bind(D,$fot(X_8097))]]) ).
cnf(refute_0_381,plain,
( ~ midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8020,X_8020)
| cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8020,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8020) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3))),bind(B,$fot(X_8020)),bind(C,$fot(X_8020))]]) ).
cnf(refute_0_382,plain,
( ~ midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)
| ~ para(skolemFOFtoCNF_M_3,D,skolemFOFtoCNF_M_3,D)
| midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),D,D) ),
inference(subst,[],[refute_0_374:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(D)),bind(M,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)))]]) ).
cnf(refute_0_383,plain,
( ~ midp(M,B,D)
| ~ perp(A,B,A,C)
| ~ perp(C,A,C,D)
| midp(skolemFOFtoCNF_P_7(A,C),A,C) ),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_384,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)
| ~ perp(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)
| midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_383:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(skolemFOFtoCNF_M_3)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2)))]]) ).
cnf(refute_0_385,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2)))]]) ).
cnf(refute_0_386,plain,
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_387,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_386:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_MIDPNT2)),bind(N,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_388,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_24,refute_0_387]) ).
cnf(refute_0_389,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_388,refute_0_385]) ).
cnf(refute_0_390,plain,
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_391,plain,
( ~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_390:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_392,plain,
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_393,plain,
( ~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_392:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_394,plain,
( ~ para(skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3)
| para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_390:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_395,plain,
( ~ para(skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_392:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_396,plain,
( ~ eqangle(skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_M_3)
| para(skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_47:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_397,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_398,plain,
( ~ eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1)
| eqangle(skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_M_3)),bind(U,$fot(skolemFOFtoCNF_M_3)),bind(V,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_399,plain,
eqangle(skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
para(skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_M_3) )],[refute_0_399,refute_0_396]) ).
cnf(refute_0_401,plain,
para(skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( para(skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1) )],[refute_0_400,refute_0_395]) ).
cnf(refute_0_402,plain,
para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3) )],[refute_0_401,refute_0_394]) ).
cnf(refute_0_403,plain,
para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1) )],[refute_0_402,refute_0_393]) ).
cnf(refute_0_404,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3) )],[refute_0_403,refute_0_391]) ).
cnf(refute_0_405,plain,
( ~ midp(X_8001,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3)
| midp(X_8001,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_374:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(skolemFOFtoCNF_M_3)),bind(M,$fot(X_8001))]]) ).
cnf(refute_0_406,plain,
( ~ midp(X_8001,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(X_8001,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_M_3) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_406:[bind(X_8001,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2)))]]) ).
cnf(refute_0_408,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_389,refute_0_407]) ).
cnf(refute_0_409,plain,
( ~ perp(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)
| midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2),skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3) )],[refute_0_408,refute_0_384]) ).
cnf(refute_0_410,plain,
( ~ circle(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)
| perp(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_368:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_M_3)),bind(O,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_411,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_M_3,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_M_3)
| circle(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_M_3)),bind(O,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_412,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)
| cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_M_3,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_413,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_406:[bind(X_8001,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_414,plain,
midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_21,refute_0_413]) ).
cnf(refute_0_415,plain,
cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_M_3,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3) )],[refute_0_414,refute_0_412]) ).
cnf(refute_0_416,plain,
circle(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_M_3,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_M_3) )],[refute_0_415,refute_0_411]) ).
cnf(refute_0_417,plain,
perp(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3) )],[refute_0_416,refute_0_410]) ).
cnf(refute_0_418,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3) )],[refute_0_417,refute_0_409]) ).
cnf(refute_0_419,plain,
( ~ para(skolemFOFtoCNF_M_3,D,skolemFOFtoCNF_M_3,D)
| midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),D,D) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3) )],[refute_0_418,refute_0_382]) ).
cnf(refute_0_420,plain,
para(skolemFOFtoCNF_M_3,D,skolemFOFtoCNF_M_3,D),
inference(subst,[],[refute_0_73:[bind(X_663,$fot(skolemFOFtoCNF_M_3)),bind(X_664,$fot(D))]]) ).
cnf(refute_0_421,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),D,D),
inference(resolve,[$cnf( para(skolemFOFtoCNF_M_3,D,skolemFOFtoCNF_M_3,D) )],[refute_0_420,refute_0_419]) ).
cnf(refute_0_422,plain,
midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8020,X_8020),
inference(subst,[],[refute_0_421:[bind(D,$fot(X_8020))]]) ).
cnf(refute_0_423,plain,
cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8020,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8020),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8020,X_8020) )],[refute_0_422,refute_0_381]) ).
cnf(refute_0_424,plain,
cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8097,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8097),
inference(subst,[],[refute_0_423:[bind(X_8020,$fot(X_8097))]]) ).
cnf(refute_0_425,plain,
cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8097,X_8097,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8097,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8097) )],[refute_0_424,refute_0_380]) ).
cnf(refute_0_426,plain,
cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8198,X_8198,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)),
inference(subst,[],[refute_0_425:[bind(X_8097,$fot(X_8198))]]) ).
cnf(refute_0_427,plain,
cong(X_8198,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8198),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8198,X_8198,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)) )],[refute_0_426,refute_0_379]) ).
cnf(refute_0_428,plain,
cong(X_8200,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8200),
inference(subst,[],[refute_0_427:[bind(X_8198,$fot(X_8200))]]) ).
cnf(refute_0_429,plain,
cong(X_8200,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8200,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)),
inference(resolve,[$cnf( cong(X_8200,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8200) )],[refute_0_428,refute_0_378]) ).
cnf(refute_0_430,plain,
cong(X_8202,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8202,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)),
inference(subst,[],[refute_0_429:[bind(X_8200,$fot(X_8202))]]) ).
cnf(refute_0_431,plain,
( ~ coll(X_8202,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3))
| midp(X_8202,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)) ),
inference(resolve,[$cnf( cong(X_8202,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8202,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)) )],[refute_0_430,refute_0_377]) ).
cnf(refute_0_432,plain,
coll(X_8202,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)),
inference(subst,[],[refute_0_366:[bind(C,$fot(X_8202)),bind(X_5376,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3))),bind(X_5377,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)))]]) ).
cnf(refute_0_433,plain,
midp(X_8202,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)),
inference(resolve,[$cnf( coll(X_8202,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)) )],[refute_0_432,refute_0_431]) ).
cnf(refute_0_434,plain,
midp(X_8203,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)),
inference(subst,[],[refute_0_433:[bind(X_8202,$fot(X_8203))]]) ).
cnf(refute_0_435,plain,
( ~ para(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),D,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),D)
| midp(X_8203,D,D) ),
inference(resolve,[$cnf( midp(X_8203,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)) )],[refute_0_434,refute_0_375]) ).
cnf(refute_0_436,plain,
para(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),D,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),D),
inference(subst,[],[refute_0_73:[bind(X_663,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3))),bind(X_664,$fot(D))]]) ).
cnf(refute_0_437,plain,
midp(X_8203,D,D),
inference(resolve,[$cnf( para(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),D,skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),D) )],[refute_0_436,refute_0_435]) ).
cnf(refute_0_438,plain,
midp(X_21330,X_21329,X_21329),
inference(subst,[],[refute_0_437:[bind(D,$fot(X_21329)),bind(X_8203,$fot(X_21330))]]) ).
cnf(refute_0_439,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_440,plain,
( ~ midp(X_21330,X_21329,X_21329)
| ~ perp(X_21329,X_21328,X_21328,X_21329)
| cong(X_21329,X_21330,X_21328,X_21330) ),
inference(subst,[],[refute_0_439:[bind(A,$fot(X_21329)),bind(B,$fot(X_21328)),bind(C,$fot(X_21329)),bind(M,$fot(X_21330))]]) ).
cnf(refute_0_441,plain,
( ~ perp(X_21329,X_21328,X_21328,X_21329)
| cong(X_21329,X_21330,X_21328,X_21330) ),
inference(resolve,[$cnf( midp(X_21330,X_21329,X_21329) )],[refute_0_438,refute_0_440]) ).
cnf(refute_0_442,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_443,plain,
( ~ cong(X_11502,X_11503,X_11502,X_11503)
| ~ cyclic(X_11502,X_11502,X_11503,X_11503)
| perp(X_11503,X_11502,X_11502,X_11503) ),
inference(subst,[],[refute_0_442:[bind(A,$fot(X_11502)),bind(B,$fot(X_11502)),bind(P,$fot(X_11503)),bind(Q,$fot(X_11503))]]) ).
cnf(refute_0_444,plain,
( ~ cyclic(X_11500,X_11500,X_11500,X_11501)
| cyclic(X_11500,X_11500,X_11501,X_11501) ),
inference(subst,[],[refute_0_49:[bind(A,$fot(X_11500)),bind(B,$fot(X_11500)),bind(C,$fot(X_11500)),bind(D,$fot(X_11501)),bind(E,$fot(X_11501))]]) ).
cnf(refute_0_445,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_77]) ).
cnf(refute_0_446,plain,
( ~ cyclic(X_11498,X_11498,X_11499,X_11498)
| cyclic(X_11498,X_11498,X_11498,X_11499) ),
inference(subst,[],[refute_0_445:[bind(A,$fot(X_11498)),bind(B,$fot(X_11498)),bind(C,$fot(X_11499)),bind(D,$fot(X_11498))]]) ).
cnf(refute_0_447,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_79]) ).
cnf(refute_0_448,plain,
( ~ cyclic(X_11496,X_11497,X_11496,X_11496)
| cyclic(X_11496,X_11496,X_11497,X_11496) ),
inference(subst,[],[refute_0_447:[bind(A,$fot(X_11496)),bind(B,$fot(X_11497)),bind(C,$fot(X_11496)),bind(D,$fot(X_11496))]]) ).
cnf(refute_0_449,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_81]) ).
cnf(refute_0_450,plain,
( ~ cyclic(X_11495,X_11494,X_11494,X_11494)
| cyclic(X_11494,X_11495,X_11494,X_11494) ),
inference(subst,[],[refute_0_449:[bind(A,$fot(X_11495)),bind(B,$fot(X_11494)),bind(C,$fot(X_11494)),bind(D,$fot(X_11494))]]) ).
cnf(refute_0_451,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_11493,X_11492),X_11493,skolemFOFtoCNF_P_1(X_11493,X_11492),X_11492)
| cyclic(X_11493,X_11492,X_11492,X_11492) ),
inference(subst,[],[refute_0_51:[bind(A,$fot(X_11493)),bind(B,$fot(X_11492)),bind(C,$fot(X_11492)),bind(D,$fot(X_11492)),bind(O,$fot(skolemFOFtoCNF_P_1(X_11493,X_11492)))]]) ).
cnf(refute_0_452,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_8027,X_8026),X_8027,X_8026)
| cong(skolemFOFtoCNF_P_1(X_8027,X_8026),X_8027,skolemFOFtoCNF_P_1(X_8027,X_8026),X_8026) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(skolemFOFtoCNF_P_1(X_8027,X_8026))),bind(B,$fot(X_8027)),bind(C,$fot(X_8026))]]) ).
cnf(refute_0_453,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_84]) ).
cnf(refute_0_454,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_453:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_455,plain,
coll(D,D,D),
inference(subst,[],[refute_0_79:[bind(X_669,$fot(D)),bind(X_670,$fot(D))]]) ).
cnf(refute_0_456,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_455,refute_0_454]) ).
cnf(refute_0_457,plain,
( ~ midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8020,X_8020)
| midp(skolemFOFtoCNF_P_1(X_8020,Q),X_8020,Q) ),
inference(subst,[],[refute_0_456:[bind(D,$fot(X_8020)),bind(N,$fot(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3)))]]) ).
cnf(refute_0_458,plain,
midp(skolemFOFtoCNF_P_1(X_8020,Q),X_8020,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_7(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3),X_8020,X_8020) )],[refute_0_422,refute_0_457]) ).
cnf(refute_0_459,plain,
midp(skolemFOFtoCNF_P_1(X_8027,X_8026),X_8027,X_8026),
inference(subst,[],[refute_0_458:[bind(Q,$fot(X_8026)),bind(X_8020,$fot(X_8027))]]) ).
cnf(refute_0_460,plain,
cong(skolemFOFtoCNF_P_1(X_8027,X_8026),X_8027,skolemFOFtoCNF_P_1(X_8027,X_8026),X_8026),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_8027,X_8026),X_8027,X_8026) )],[refute_0_459,refute_0_452]) ).
cnf(refute_0_461,plain,
cong(skolemFOFtoCNF_P_1(X_11493,X_11492),X_11493,skolemFOFtoCNF_P_1(X_11493,X_11492),X_11492),
inference(subst,[],[refute_0_460:[bind(X_8026,$fot(X_11492)),bind(X_8027,$fot(X_11493))]]) ).
cnf(refute_0_462,plain,
cyclic(X_11493,X_11492,X_11492,X_11492),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_11493,X_11492),X_11493,skolemFOFtoCNF_P_1(X_11493,X_11492),X_11492) )],[refute_0_461,refute_0_451]) ).
cnf(refute_0_463,plain,
cyclic(X_11495,X_11494,X_11494,X_11494),
inference(subst,[],[refute_0_462:[bind(X_11492,$fot(X_11494)),bind(X_11493,$fot(X_11495))]]) ).
cnf(refute_0_464,plain,
cyclic(X_11494,X_11495,X_11494,X_11494),
inference(resolve,[$cnf( cyclic(X_11495,X_11494,X_11494,X_11494) )],[refute_0_463,refute_0_450]) ).
cnf(refute_0_465,plain,
cyclic(X_11496,X_11497,X_11496,X_11496),
inference(subst,[],[refute_0_464:[bind(X_11494,$fot(X_11496)),bind(X_11495,$fot(X_11497))]]) ).
cnf(refute_0_466,plain,
cyclic(X_11496,X_11496,X_11497,X_11496),
inference(resolve,[$cnf( cyclic(X_11496,X_11497,X_11496,X_11496) )],[refute_0_465,refute_0_448]) ).
cnf(refute_0_467,plain,
cyclic(X_11498,X_11498,X_11499,X_11498),
inference(subst,[],[refute_0_466:[bind(X_11496,$fot(X_11498)),bind(X_11497,$fot(X_11499))]]) ).
cnf(refute_0_468,plain,
cyclic(X_11498,X_11498,X_11498,X_11499),
inference(resolve,[$cnf( cyclic(X_11498,X_11498,X_11499,X_11498) )],[refute_0_467,refute_0_446]) ).
cnf(refute_0_469,plain,
cyclic(X_11500,X_11500,X_11500,X_11501),
inference(subst,[],[refute_0_468:[bind(X_11498,$fot(X_11500)),bind(X_11499,$fot(X_11501))]]) ).
cnf(refute_0_470,plain,
cyclic(X_11500,X_11500,X_11501,X_11501),
inference(resolve,[$cnf( cyclic(X_11500,X_11500,X_11500,X_11501) )],[refute_0_469,refute_0_444]) ).
cnf(refute_0_471,plain,
cyclic(X_11502,X_11502,X_11503,X_11503),
inference(subst,[],[refute_0_470:[bind(X_11500,$fot(X_11502)),bind(X_11501,$fot(X_11503))]]) ).
cnf(refute_0_472,plain,
( ~ cong(X_11502,X_11503,X_11502,X_11503)
| perp(X_11503,X_11502,X_11502,X_11503) ),
inference(resolve,[$cnf( cyclic(X_11502,X_11502,X_11503,X_11503) )],[refute_0_471,refute_0_443]) ).
cnf(refute_0_473,plain,
( ~ midp(X_8205,X_8204,X_8204)
| cong(X_8205,X_8204,X_8205,X_8204) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(X_8205)),bind(B,$fot(X_8204)),bind(C,$fot(X_8204))]]) ).
cnf(refute_0_474,plain,
midp(X_8205,X_8204,X_8204),
inference(subst,[],[refute_0_437:[bind(D,$fot(X_8204)),bind(X_8203,$fot(X_8205))]]) ).
cnf(refute_0_475,plain,
cong(X_8205,X_8204,X_8205,X_8204),
inference(resolve,[$cnf( midp(X_8205,X_8204,X_8204) )],[refute_0_474,refute_0_473]) ).
cnf(refute_0_476,plain,
cong(X_11502,X_11503,X_11502,X_11503),
inference(subst,[],[refute_0_475:[bind(X_8204,$fot(X_11503)),bind(X_8205,$fot(X_11502))]]) ).
cnf(refute_0_477,plain,
perp(X_11503,X_11502,X_11502,X_11503),
inference(resolve,[$cnf( cong(X_11502,X_11503,X_11502,X_11503) )],[refute_0_476,refute_0_472]) ).
cnf(refute_0_478,plain,
perp(X_21329,X_21328,X_21328,X_21329),
inference(subst,[],[refute_0_477:[bind(X_11502,$fot(X_21328)),bind(X_11503,$fot(X_21329))]]) ).
cnf(refute_0_479,plain,
cong(X_21329,X_21330,X_21328,X_21330),
inference(resolve,[$cnf( perp(X_21329,X_21328,X_21328,X_21329) )],[refute_0_478,refute_0_441]) ).
cnf(refute_0_480,plain,
cong(X_21664,X_21665,X_21663,X_21665),
inference(subst,[],[refute_0_479:[bind(X_21328,$fot(X_21663)),bind(X_21329,$fot(X_21664)),bind(X_21330,$fot(X_21665))]]) ).
cnf(refute_0_481,plain,
cong(X_21664,X_21665,X_21665,X_21663),
inference(resolve,[$cnf( cong(X_21664,X_21665,X_21663,X_21665) )],[refute_0_480,refute_0_373]) ).
cnf(refute_0_482,plain,
cong(X_21816,X_21817,X_21817,X_21815),
inference(subst,[],[refute_0_481:[bind(X_21663,$fot(X_21815)),bind(X_21664,$fot(X_21816)),bind(X_21665,$fot(X_21817))]]) ).
cnf(refute_0_483,plain,
cong(X_21817,X_21815,X_21816,X_21817),
inference(resolve,[$cnf( cong(X_21816,X_21817,X_21817,X_21815) )],[refute_0_482,refute_0_372]) ).
cnf(refute_0_484,plain,
cong(X_21947,X_21945,X_21946,X_21947),
inference(subst,[],[refute_0_483:[bind(X_21815,$fot(X_21945)),bind(X_21816,$fot(X_21946)),bind(X_21817,$fot(X_21947))]]) ).
cnf(refute_0_485,plain,
cong(X_21947,X_21945,X_21947,X_21946),
inference(resolve,[$cnf( cong(X_21947,X_21945,X_21946,X_21947) )],[refute_0_484,refute_0_371]) ).
cnf(refute_0_486,plain,
cong(O,A,O,B),
inference(subst,[],[refute_0_485:[bind(X_21945,$fot(A)),bind(X_21946,$fot(B)),bind(X_21947,$fot(O))]]) ).
cnf(refute_0_487,plain,
( ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(resolve,[$cnf( cong(O,A,O,B) )],[refute_0_486,refute_0_17]) ).
cnf(refute_0_488,plain,
cong(O,A,O,C),
inference(subst,[],[refute_0_485:[bind(X_21945,$fot(A)),bind(X_21946,$fot(C)),bind(X_21947,$fot(O))]]) ).
cnf(refute_0_489,plain,
circle(O,A,B,C),
inference(resolve,[$cnf( cong(O,A,O,C) )],[refute_0_488,refute_0_487]) ).
cnf(refute_0_490,plain,
circle(X_32758,X_32755,X_32756,X_32757),
inference(subst,[],[refute_0_489:[bind(A,$fot(X_32755)),bind(B,$fot(X_32756)),bind(C,$fot(X_32757)),bind(O,$fot(X_32758))]]) ).
cnf(refute_0_491,plain,
perp(X_32755,X_32756,X_32756,X_32757),
inference(resolve,[$cnf( circle(X_32758,X_32755,X_32756,X_32757) )],[refute_0_490,refute_0_369]) ).
cnf(refute_0_492,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_491:[bind(X_32755,$fot(skolemFOFtoCNF_A)),bind(X_32756,$fot(skolemFOFtoCNF_B_1)),bind(X_32757,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_493,plain,
$false,
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) )],[refute_0_492,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO605+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n018.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 : Sat Jun 18 14:51:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 124.92/125.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 124.92/125.15
% 124.92/125.15 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 125.04/125.20
%------------------------------------------------------------------------------