TSTP Solution File: GEO545+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO545+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 05:27:06 EDT 2022
% Result : Theorem 210.46s 210.72s
% Output : CNFRefutation 210.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 104
% Number of leaves : 32
% Syntax : Number of formulae : 727 ( 343 unt; 0 def)
% Number of atoms : 1414 ( 0 equ)
% Maximal formula atoms : 28 ( 1 avg)
% Number of connectives : 1175 ( 488 ~; 483 |; 170 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 25 ( 25 usr; 20 con; 0-6 aty)
% Number of variables : 1379 ( 345 sgn 506 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ) ).
fof(ruleD7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ) ).
fof(ruleD8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C) )
=> circle(O,A,B,C) ) ).
fof(ruleD13,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C)
& cong(O,A,O,D) )
=> cyclic(A,B,C,D) ) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ) ).
fof(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ) ).
fof(ruleD53,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ) ).
fof(ruleD56,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q) )
=> perp(A,B,P,Q) ) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ) ).
fof(ruleX6,axiom,
! [A,B,C,D,M,N] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D) )
=> ( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(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(exemplo6GDDFULL012005,conjecture,
! [A,B,C,H,O,C1,B1,A1,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :
( ( perp(A,B,C,H)
& perp(A,C,B,H)
& perp(B,C,A,H)
& midp(MIDPNT1,A,B)
& perp(A,B,MIDPNT1,O)
& midp(MIDPNT2,A,C)
& perp(A,C,MIDPNT2,O)
& midp(MIDPNT3,B,C)
& perp(B,C,MIDPNT3,O)
& midp(MIDPNT4,A,B)
& perp(A,B,MIDPNT4,C1)
& midp(MIDPNT5,A,H)
& perp(A,H,MIDPNT5,C1)
& midp(MIDPNT6,B,H)
& perp(B,H,MIDPNT6,C1)
& midp(MIDPNT7,A,H)
& perp(A,H,MIDPNT7,B1)
& midp(MIDPNT8,A,C)
& perp(A,C,MIDPNT8,B1)
& midp(MIDPNT9,H,C)
& perp(H,C,MIDPNT9,B1)
& midp(MIDPNT01,B,H)
& perp(B,H,MIDPNT01,A1)
& midp(MIDPNT11,B,C)
& perp(B,C,MIDPNT11,A1)
& midp(MIDPNT21,H,C)
& perp(H,C,MIDPNT21,A1) )
=> perp(A1,O,B1,C1) ) ).
fof(subgoal_0,plain,
! [A,B,C,H,O,C1,B1,A1,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :
( ( perp(A,B,C,H)
& perp(A,C,B,H)
& perp(B,C,A,H)
& midp(MIDPNT1,A,B)
& perp(A,B,MIDPNT1,O)
& midp(MIDPNT2,A,C)
& perp(A,C,MIDPNT2,O)
& midp(MIDPNT3,B,C)
& perp(B,C,MIDPNT3,O)
& midp(MIDPNT4,A,B)
& perp(A,B,MIDPNT4,C1)
& midp(MIDPNT5,A,H)
& perp(A,H,MIDPNT5,C1)
& midp(MIDPNT6,B,H)
& perp(B,H,MIDPNT6,C1)
& midp(MIDPNT7,A,H)
& perp(A,H,MIDPNT7,B1)
& midp(MIDPNT8,A,C)
& perp(A,C,MIDPNT8,B1)
& midp(MIDPNT9,H,C)
& perp(H,C,MIDPNT9,B1)
& midp(MIDPNT01,B,H)
& perp(B,H,MIDPNT01,A1)
& midp(MIDPNT11,B,C)
& perp(B,C,MIDPNT11,A1)
& midp(MIDPNT21,H,C)
& perp(H,C,MIDPNT21,A1) )
=> perp(A1,O,B1,C1) ),
inference(strip,[],[exemplo6GDDFULL012005]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,H,O,C1,B1,A1,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :
( ( perp(A,B,C,H)
& perp(A,C,B,H)
& perp(B,C,A,H)
& midp(MIDPNT1,A,B)
& perp(A,B,MIDPNT1,O)
& midp(MIDPNT2,A,C)
& perp(A,C,MIDPNT2,O)
& midp(MIDPNT3,B,C)
& perp(B,C,MIDPNT3,O)
& midp(MIDPNT4,A,B)
& perp(A,B,MIDPNT4,C1)
& midp(MIDPNT5,A,H)
& perp(A,H,MIDPNT5,C1)
& midp(MIDPNT6,B,H)
& perp(B,H,MIDPNT6,C1)
& midp(MIDPNT7,A,H)
& perp(A,H,MIDPNT7,B1)
& midp(MIDPNT8,A,C)
& perp(A,C,MIDPNT8,B1)
& midp(MIDPNT9,H,C)
& perp(H,C,MIDPNT9,B1)
& midp(MIDPNT01,B,H)
& perp(B,H,MIDPNT01,A1)
& midp(MIDPNT11,B,C)
& perp(B,C,MIDPNT11,A1)
& midp(MIDPNT21,H,C)
& perp(H,C,MIDPNT21,A1) )
=> perp(A1,O,B1,C1) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,A1,B,B1,C,C1,H,MIDPNT01,MIDPNT1,MIDPNT11,MIDPNT2,MIDPNT21,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,O] :
( ~ perp(A1,O,B1,C1)
& midp(MIDPNT01,B,H)
& midp(MIDPNT1,A,B)
& midp(MIDPNT11,B,C)
& midp(MIDPNT2,A,C)
& midp(MIDPNT21,H,C)
& midp(MIDPNT3,B,C)
& midp(MIDPNT4,A,B)
& midp(MIDPNT5,A,H)
& midp(MIDPNT6,B,H)
& midp(MIDPNT7,A,H)
& midp(MIDPNT8,A,C)
& midp(MIDPNT9,H,C)
& perp(A,B,C,H)
& perp(A,B,MIDPNT1,O)
& perp(A,B,MIDPNT4,C1)
& perp(A,C,B,H)
& perp(A,C,MIDPNT2,O)
& perp(A,C,MIDPNT8,B1)
& perp(A,H,MIDPNT5,C1)
& perp(A,H,MIDPNT7,B1)
& perp(B,C,A,H)
& perp(B,C,MIDPNT11,A1)
& perp(B,C,MIDPNT3,O)
& perp(B,H,MIDPNT01,A1)
& perp(B,H,MIDPNT6,C1)
& perp(H,C,MIDPNT21,A1)
& perp(H,C,MIDPNT9,B1) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ perp(skolemFOFtoCNF_A1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B1,skolemFOFtoCNF_C1)
& midp(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
& midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_H)
& midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
& midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_A,skolemFOFtoCNF_H)
& midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_O_2)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_C1)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_O_2)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B1)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_C1)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B1)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_H)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_A1)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_O_2)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_A1)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_C1)
& perp(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_A1)
& perp(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_B1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ perp(skolemFOFtoCNF_A1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B1,skolemFOFtoCNF_C1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(canonicalize,[],[ruleD56]) ).
fof(normalize_0_4,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[ruleD52]) ).
fof(normalize_0_6,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[ruleD57]) ).
fof(normalize_0_8,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[ruleD17]) ).
fof(normalize_0_10,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_12,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_14,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_16,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,C,D,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[ruleD13]) ).
fof(normalize_0_18,plain,
! [A,B,C,D,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_20,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(canonicalize,[],[ruleX7]) ).
fof(normalize_0_22,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A,B,C,D,M,N,Q] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(clausify,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_25,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_27,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_29,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,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_31,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_30]) ).
fof(normalize_0_32,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_31]) ).
fof(normalize_0_33,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_34,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_36,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_37,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD40]) ).
fof(normalize_0_39,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
! [A,B,C,D,P,Q] :
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(clausify,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[ruleD19]) ).
fof(normalize_0_42,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(specialize,[],[normalize_0_41]) ).
fof(normalize_0_43,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[ruleD64]) ).
fof(normalize_0_44,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(specialize,[],[normalize_0_43]) ).
fof(normalize_0_45,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_46,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_45]) ).
fof(normalize_0_47,plain,
midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_48,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_49,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_48]) ).
fof(normalize_0_50,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_49]) ).
fof(normalize_0_51,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_50]) ).
fof(normalize_0_52,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_53,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_52]) ).
fof(normalize_0_54,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_55,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_54]) ).
fof(normalize_0_56,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[ruleD12]) ).
fof(normalize_0_57,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_56]) ).
fof(normalize_0_58,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_59,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_58]) ).
fof(normalize_0_60,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_61,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_60]) ).
fof(normalize_0_62,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_63,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_62]) ).
fof(normalize_0_64,plain,
midp(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_65,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_66,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_65]) ).
fof(normalize_0_67,plain,
midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_A,skolemFOFtoCNF_H),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_68,plain,
midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_69,plain,
midp(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_70,plain,
midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_71,plain,
midp(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_H),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_72,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_73,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_72]) ).
fof(normalize_0_74,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_73]) ).
fof(normalize_0_75,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(conjunct,[],[normalize_0_74]) ).
fof(normalize_0_76,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(canonicalize,[],[ruleX11]) ).
fof(normalize_0_77,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(specialize,[],[normalize_0_76]) ).
fof(normalize_0_78,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(clausify,[],[normalize_0_77]) ).
fof(normalize_0_79,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_74]) ).
fof(normalize_0_80,plain,
midp(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_81,plain,
midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_82,plain,
midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_83,plain,
midp(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_84,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_85,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_84]) ).
cnf(refute_0_0,plain,
~ perp(skolemFOFtoCNF_A1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B1,skolemFOFtoCNF_C1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ midp(M,X_15597,X_15597)
| ~ perp(X_15597,X_15596,X_15596,X_15597)
| cong(X_15597,M,X_15596,M) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_15597)),bind(B,$fot(X_15596)),bind(C,$fot(X_15597))]]) ).
cnf(refute_0_4,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ cong(X_15594,X_15595,X_15594,X_15595)
| ~ cyclic(X_15594,X_15594,X_15595,X_15595)
| perp(X_15595,X_15594,X_15594,X_15595) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_15594)),bind(B,$fot(X_15594)),bind(P,$fot(X_15595)),bind(Q,$fot(X_15595))]]) ).
cnf(refute_0_6,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ cyclic(X_15592,X_15592,X_15592,X_15593)
| cyclic(X_15592,X_15592,X_15593,X_15593) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_15592)),bind(B,$fot(X_15592)),bind(C,$fot(X_15592)),bind(D,$fot(X_15593)),bind(E,$fot(X_15593))]]) ).
cnf(refute_0_8,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_9,plain,
( ~ cyclic(X_15590,X_15590,X_15591,X_15590)
| cyclic(X_15590,X_15590,X_15590,X_15591) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_15590)),bind(B,$fot(X_15590)),bind(C,$fot(X_15591)),bind(D,$fot(X_15590))]]) ).
cnf(refute_0_10,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_11,plain,
( ~ cyclic(X_15588,X_15589,X_15588,X_15588)
| cyclic(X_15588,X_15588,X_15589,X_15588) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_15588)),bind(B,$fot(X_15589)),bind(C,$fot(X_15588)),bind(D,$fot(X_15588))]]) ).
cnf(refute_0_12,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_13,plain,
( ~ cyclic(X_15587,X_15586,X_15586,X_15586)
| cyclic(X_15586,X_15587,X_15586,X_15586) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_15587)),bind(B,$fot(X_15586)),bind(C,$fot(X_15586)),bind(D,$fot(X_15586))]]) ).
cnf(refute_0_14,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_15,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_15585,X_15584),X_15585,skolemFOFtoCNF_P_1(X_15585,X_15584),X_15584)
| cyclic(X_15585,X_15584,X_15584,X_15584) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_15585)),bind(B,$fot(X_15584)),bind(C,$fot(X_15584)),bind(D,$fot(X_15584)),bind(O,$fot(skolemFOFtoCNF_P_1(X_15585,X_15584)))]]) ).
cnf(refute_0_16,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_17,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_13298,X_13297),X_13298,X_13297)
| cong(skolemFOFtoCNF_P_1(X_13298,X_13297),X_13298,skolemFOFtoCNF_P_1(X_13298,X_13297),X_13297) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_P_1(X_13298,X_13297))),bind(B,$fot(X_13298)),bind(C,$fot(X_13297))]]) ).
cnf(refute_0_18,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_19,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_20,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_21,plain,
( ~ coll(X_974,X_973,X_974)
| coll(X_974,X_974,X_973) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_974)),bind(B,$fot(X_973)),bind(C,$fot(X_974))]]) ).
cnf(refute_0_22,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_23,plain,
( ~ coll(X_971,X_972,X_972)
| coll(X_972,X_971,X_972) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_971)),bind(B,$fot(X_972)),bind(C,$fot(X_972))]]) ).
cnf(refute_0_24,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_25,plain,
( ~ para(X_969,X_970,X_969,X_970)
| coll(X_969,X_970,X_970) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_969)),bind(B,$fot(X_970)),bind(C,$fot(X_970))]]) ).
cnf(refute_0_26,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_27,plain,
( ~ eqangle(X_967,X_968,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_967,X_968,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_967,X_968,X_967,X_968) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_967)),bind(B,$fot(X_968)),bind(C,$fot(X_967)),bind(D,$fot(X_968)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_28,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_29,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_30,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_31,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_32,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_33,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_34,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_35,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_32,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_37,plain,
cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) )],[refute_0_37,refute_0_31]) ).
cnf(refute_0_39,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_38,refute_0_30]) ).
cnf(refute_0_40,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_39,refute_0_29]) ).
cnf(refute_0_41,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_42,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_44,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154) ),
inference(subst,[],[refute_0_43:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(X_153)),bind(Q,$fot(X_154))]]) ).
cnf(refute_0_45,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_44]) ).
cnf(refute_0_46,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_965,X_966,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_965,X_966),
inference(subst,[],[refute_0_45:[bind(X_153,$fot(X_965)),bind(X_154,$fot(X_966))]]) ).
cnf(refute_0_47,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_48,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_965,X_966,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_965,X_966)
| eqangle(X_965,X_966,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_965,X_966,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_47:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_965)),bind(D,$fot(X_966)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_965)),bind(V,$fot(X_966))]]) ).
cnf(refute_0_49,plain,
eqangle(X_965,X_966,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_965,X_966,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_965,X_966,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_965,X_966) )],[refute_0_46,refute_0_48]) ).
cnf(refute_0_50,plain,
eqangle(X_967,X_968,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_967,X_968,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_49:[bind(X_965,$fot(X_967)),bind(X_966,$fot(X_968))]]) ).
cnf(refute_0_51,plain,
para(X_967,X_968,X_967,X_968),
inference(resolve,[$cnf( eqangle(X_967,X_968,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_967,X_968,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_50,refute_0_27]) ).
cnf(refute_0_52,plain,
para(X_969,X_970,X_969,X_970),
inference(subst,[],[refute_0_51:[bind(X_967,$fot(X_969)),bind(X_968,$fot(X_970))]]) ).
cnf(refute_0_53,plain,
coll(X_969,X_970,X_970),
inference(resolve,[$cnf( para(X_969,X_970,X_969,X_970) )],[refute_0_52,refute_0_25]) ).
cnf(refute_0_54,plain,
coll(X_971,X_972,X_972),
inference(subst,[],[refute_0_53:[bind(X_969,$fot(X_971)),bind(X_970,$fot(X_972))]]) ).
cnf(refute_0_55,plain,
coll(X_972,X_971,X_972),
inference(resolve,[$cnf( coll(X_971,X_972,X_972) )],[refute_0_54,refute_0_23]) ).
cnf(refute_0_56,plain,
coll(X_974,X_973,X_974),
inference(subst,[],[refute_0_55:[bind(X_971,$fot(X_973)),bind(X_972,$fot(X_974))]]) ).
cnf(refute_0_57,plain,
coll(X_974,X_974,X_973),
inference(resolve,[$cnf( coll(X_974,X_973,X_974) )],[refute_0_56,refute_0_21]) ).
cnf(refute_0_58,plain,
coll(D,D,D),
inference(subst,[],[refute_0_57:[bind(X_973,$fot(D)),bind(X_974,$fot(D))]]) ).
cnf(refute_0_59,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_58,refute_0_19]) ).
cnf(refute_0_60,plain,
( ~ midp(skolemFOFtoCNF_C_1,X_13219,X_13219)
| midp(skolemFOFtoCNF_P_1(X_13219,Q),X_13219,Q) ),
inference(subst,[],[refute_0_59:[bind(D,$fot(X_13219)),bind(N,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_61,plain,
para(X_9759,X_9760,X_9759,X_9760),
inference(subst,[],[refute_0_51:[bind(X_967,$fot(X_9759)),bind(X_968,$fot(X_9760))]]) ).
cnf(refute_0_62,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_63,plain,
( ~ midp(X_9761,X_9759,X_9759)
| ~ para(X_9759,X_9760,X_9759,X_9760)
| midp(X_9761,X_9760,X_9760) ),
inference(subst,[],[refute_0_62:[bind(A,$fot(X_9759)),bind(B,$fot(X_9759)),bind(C,$fot(X_9760)),bind(D,$fot(X_9760)),bind(M,$fot(X_9761))]]) ).
cnf(refute_0_64,plain,
( ~ midp(X_9761,X_9759,X_9759)
| midp(X_9761,X_9760,X_9760) ),
inference(resolve,[$cnf( para(X_9759,X_9760,X_9759,X_9760) )],[refute_0_61,refute_0_63]) ).
cnf(refute_0_65,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21))
| midp(skolemFOFtoCNF_C_1,X_9760,X_9760) ),
inference(subst,[],[refute_0_64:[bind(X_9759,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21))),bind(X_9761,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_66,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_67,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21))
| ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21))
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21)) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21))),bind(C,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21)))]]) ).
cnf(refute_0_68,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_H)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21)))]]) ).
cnf(refute_0_69,plain,
midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_70,plain,
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_71,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_MIDPNT21)),bind(N,$fot(skolemFOFtoCNF_MIDPNT21))]]) ).
cnf(refute_0_72,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) )],[refute_0_69,refute_0_71]) ).
cnf(refute_0_73,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_C_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) )],[refute_0_72,refute_0_68]) ).
cnf(refute_0_74,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_C_1,skolemFOFtoCNF_H)
| ~ perp(skolemFOFtoCNF_C_1,X_9501,X_9501,skolemFOFtoCNF_H)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),X_9501,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_9501)),bind(C,$fot(skolemFOFtoCNF_H)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21)))]]) ).
cnf(refute_0_75,plain,
( ~ perp(skolemFOFtoCNF_C_1,X_9501,X_9501,skolemFOFtoCNF_H)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),X_9501,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21)) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21)) ),
inference(subst,[],[refute_0_75:[bind(X_9501,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_77,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_78,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_79,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_80,plain,
( ~ perp(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_81,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_82,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_C_1)
| circle(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT21))]]) ).
cnf(refute_0_83,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_84,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H)
| cong(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_MIDPNT21)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT21)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_85,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_H)),bind(M,$fot(skolemFOFtoCNF_MIDPNT21))]]) ).
cnf(refute_0_86,plain,
midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) )],[refute_0_69,refute_0_85]) ).
cnf(refute_0_87,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H)
| cong(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_MIDPNT21)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_88,plain,
cong(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
cong(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H) )],[refute_0_88,refute_0_84]) ).
cnf(refute_0_90,plain,
circle(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_C_1) )],[refute_0_89,refute_0_82]) ).
cnf(refute_0_91,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_92,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_93,plain,
( ~ coll(X_6985,skolemFOFtoCNF_MIDPNT11,C)
| ~ coll(X_6985,skolemFOFtoCNF_MIDPNT11,X_6986)
| coll(C,X_6986,X_6985) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6985)),bind(B,$fot(skolemFOFtoCNF_MIDPNT11)),bind(D,$fot(X_6986))]]) ).
cnf(refute_0_94,plain,
( ~ coll(X_6794,skolemFOFtoCNF_B_1,C)
| ~ coll(X_6794,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT11)
| coll(C,skolemFOFtoCNF_MIDPNT11,X_6794) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6794)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT11))]]) ).
cnf(refute_0_95,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT11,X_6759,C)
| ~ coll(skolemFOFtoCNF_MIDPNT11,X_6759,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT11) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT11)),bind(B,$fot(X_6759)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_96,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT11) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT11)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_97,plain,
midp(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_98,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_MIDPNT11))]]) ).
cnf(refute_0_99,plain,
midp(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_101,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_MIDPNT11)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_102,plain,
coll(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_99,refute_0_101]) ).
cnf(refute_0_103,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT11),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_102,refute_0_96]) ).
cnf(refute_0_104,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_6711)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT11)
| coll(skolemFOFtoCNF_MIDPNT11,X_6711,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT11)),bind(D,$fot(X_6711))]]) ).
cnf(refute_0_105,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_6711)
| coll(skolemFOFtoCNF_MIDPNT11,X_6711,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT11) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_6711),
inference(subst,[],[refute_0_57:[bind(X_973,$fot(X_6711)),bind(X_974,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_107,plain,
coll(skolemFOFtoCNF_MIDPNT11,X_6711,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_6711) )],[refute_0_106,refute_0_105]) ).
cnf(refute_0_108,plain,
coll(skolemFOFtoCNF_MIDPNT11,X_6759,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_107:[bind(X_6711,$fot(X_6759))]]) ).
cnf(refute_0_109,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT11,X_6759,C)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT11) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT11,X_6759,skolemFOFtoCNF_B_1) )],[refute_0_108,refute_0_95]) ).
cnf(refute_0_110,plain,
coll(X_6709,X_6709,X_6710),
inference(subst,[],[refute_0_57:[bind(X_973,$fot(X_6710)),bind(X_974,$fot(X_6709))]]) ).
cnf(refute_0_111,plain,
( ~ coll(X_6709,X_6709,X_6710)
| ~ coll(X_6709,X_6709,X_6711)
| coll(X_6710,X_6711,X_6709) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6709)),bind(B,$fot(X_6709)),bind(C,$fot(X_6710)),bind(D,$fot(X_6711))]]) ).
cnf(refute_0_112,plain,
( ~ coll(X_6709,X_6709,X_6711)
| coll(X_6710,X_6711,X_6709) ),
inference(resolve,[$cnf( coll(X_6709,X_6709,X_6710) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
coll(X_6709,X_6709,X_6711),
inference(subst,[],[refute_0_57:[bind(X_973,$fot(X_6711)),bind(X_974,$fot(X_6709))]]) ).
cnf(refute_0_114,plain,
coll(X_6710,X_6711,X_6709),
inference(resolve,[$cnf( coll(X_6709,X_6709,X_6711) )],[refute_0_113,refute_0_112]) ).
cnf(refute_0_115,plain,
coll(skolemFOFtoCNF_MIDPNT11,X_6759,C),
inference(subst,[],[refute_0_114:[bind(X_6709,$fot(C)),bind(X_6710,$fot(skolemFOFtoCNF_MIDPNT11)),bind(X_6711,$fot(X_6759))]]) ).
cnf(refute_0_116,plain,
coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT11),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT11,X_6759,C) )],[refute_0_115,refute_0_109]) ).
cnf(refute_0_117,plain,
coll(X_6794,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT11),
inference(subst,[],[refute_0_116:[bind(C,$fot(X_6794))]]) ).
cnf(refute_0_118,plain,
( ~ coll(X_6794,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_MIDPNT11,X_6794) ),
inference(resolve,[$cnf( coll(X_6794,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT11) )],[refute_0_117,refute_0_94]) ).
cnf(refute_0_119,plain,
coll(X_6794,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_114:[bind(X_6709,$fot(C)),bind(X_6710,$fot(X_6794)),bind(X_6711,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_120,plain,
coll(C,skolemFOFtoCNF_MIDPNT11,X_6794),
inference(resolve,[$cnf( coll(X_6794,skolemFOFtoCNF_B_1,C) )],[refute_0_119,refute_0_118]) ).
cnf(refute_0_121,plain,
coll(X_6985,skolemFOFtoCNF_MIDPNT11,X_6986),
inference(subst,[],[refute_0_120:[bind(C,$fot(X_6985)),bind(X_6794,$fot(X_6986))]]) ).
cnf(refute_0_122,plain,
( ~ coll(X_6985,skolemFOFtoCNF_MIDPNT11,C)
| coll(C,X_6986,X_6985) ),
inference(resolve,[$cnf( coll(X_6985,skolemFOFtoCNF_MIDPNT11,X_6986) )],[refute_0_121,refute_0_93]) ).
cnf(refute_0_123,plain,
( ~ coll(X_6981,skolemFOFtoCNF_MIDPNT7,C)
| ~ coll(X_6981,skolemFOFtoCNF_MIDPNT7,X_6982)
| coll(C,X_6982,X_6981) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6981)),bind(B,$fot(skolemFOFtoCNF_MIDPNT7)),bind(D,$fot(X_6982))]]) ).
cnf(refute_0_124,plain,
( ~ coll(X_6878,skolemFOFtoCNF_A,C)
| ~ coll(X_6878,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT7)
| coll(C,skolemFOFtoCNF_MIDPNT7,X_6878) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6878)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_125,plain,
( ~ coll(skolemFOFtoCNF_A,X_6834,skolemFOFtoCNF_MIDPNT7)
| coll(X_6834,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT7) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_6834)),bind(C,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_126,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT7)
| coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_MIDPNT7)),bind(D,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_127,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_H,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT7) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT7)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_128,plain,
midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_A,skolemFOFtoCNF_H),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_129,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_A,skolemFOFtoCNF_H)
| midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_H,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_130,plain,
midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_H,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_A,skolemFOFtoCNF_H) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_H,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_H,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_MIDPNT7)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_132,plain,
coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_H,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_H,skolemFOFtoCNF_A) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT7),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_H,skolemFOFtoCNF_A) )],[refute_0_132,refute_0_127]) ).
cnf(refute_0_134,plain,
coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT7) )],[refute_0_133,refute_0_126]) ).
cnf(refute_0_135,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,X_6711)
| ~ coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_6711,skolemFOFtoCNF_MIDPNT7) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT7)),bind(B,$fot(skolemFOFtoCNF_MIDPNT7)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_6711))]]) ).
cnf(refute_0_136,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,X_6711)
| coll(skolemFOFtoCNF_A,X_6711,skolemFOFtoCNF_MIDPNT7) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_A) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,X_6711),
inference(subst,[],[refute_0_57:[bind(X_973,$fot(X_6711)),bind(X_974,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_138,plain,
coll(skolemFOFtoCNF_A,X_6711,skolemFOFtoCNF_MIDPNT7),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_MIDPNT7,X_6711) )],[refute_0_137,refute_0_136]) ).
cnf(refute_0_139,plain,
coll(skolemFOFtoCNF_A,X_6834,skolemFOFtoCNF_MIDPNT7),
inference(subst,[],[refute_0_138:[bind(X_6711,$fot(X_6834))]]) ).
cnf(refute_0_140,plain,
coll(X_6834,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT7),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_6834,skolemFOFtoCNF_MIDPNT7) )],[refute_0_139,refute_0_125]) ).
cnf(refute_0_141,plain,
coll(X_6878,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT7),
inference(subst,[],[refute_0_140:[bind(X_6834,$fot(X_6878))]]) ).
cnf(refute_0_142,plain,
( ~ coll(X_6878,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_MIDPNT7,X_6878) ),
inference(resolve,[$cnf( coll(X_6878,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT7) )],[refute_0_141,refute_0_124]) ).
cnf(refute_0_143,plain,
( ~ coll(X_6870,skolemFOFtoCNF_C_1,C)
| ~ coll(X_6870,skolemFOFtoCNF_C_1,X_6871)
| coll(C,X_6871,X_6870) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6870)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_6871))]]) ).
cnf(refute_0_144,plain,
( ~ coll(X_6844,X_6845,skolemFOFtoCNF_C_1)
| coll(X_6844,skolemFOFtoCNF_C_1,X_6845) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_6844)),bind(B,$fot(X_6845)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_145,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,C)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,X_6784)
| coll(C,X_6784,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT3)),bind(D,$fot(X_6784))]]) ).
cnf(refute_0_146,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_6770,skolemFOFtoCNF_MIDPNT3)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,X_6770) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_6770)),bind(C,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_147,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)
| coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT3)),bind(D,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_148,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT3)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_149,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_150,plain,
midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_151,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_152,plain,
midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_154,plain,
coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_154,refute_0_149]) ).
cnf(refute_0_156,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) )],[refute_0_155,refute_0_148]) ).
cnf(refute_0_157,plain,
coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3) )],[refute_0_156,refute_0_147]) ).
cnf(refute_0_158,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,X_6711)
| ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_6711,skolemFOFtoCNF_MIDPNT3) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_MIDPNT3)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_6711))]]) ).
cnf(refute_0_159,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,X_6711)
| coll(skolemFOFtoCNF_C_1,X_6711,skolemFOFtoCNF_MIDPNT3) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,X_6711),
inference(subst,[],[refute_0_57:[bind(X_973,$fot(X_6711)),bind(X_974,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_161,plain,
coll(skolemFOFtoCNF_C_1,X_6711,skolemFOFtoCNF_MIDPNT3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3,X_6711) )],[refute_0_160,refute_0_159]) ).
cnf(refute_0_162,plain,
coll(skolemFOFtoCNF_C_1,X_6770,skolemFOFtoCNF_MIDPNT3),
inference(subst,[],[refute_0_161:[bind(X_6711,$fot(X_6770))]]) ).
cnf(refute_0_163,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,X_6770),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_6770,skolemFOFtoCNF_MIDPNT3) )],[refute_0_162,refute_0_146]) ).
cnf(refute_0_164,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,X_6784),
inference(subst,[],[refute_0_163:[bind(X_6770,$fot(X_6784))]]) ).
cnf(refute_0_165,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,C)
| coll(C,X_6784,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,X_6784) )],[refute_0_164,refute_0_145]) ).
cnf(refute_0_166,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,C),
inference(subst,[],[refute_0_114:[bind(X_6709,$fot(C)),bind(X_6710,$fot(skolemFOFtoCNF_C_1)),bind(X_6711,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_167,plain,
coll(C,X_6784,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,C) )],[refute_0_166,refute_0_165]) ).
cnf(refute_0_168,plain,
coll(X_6844,X_6845,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_167:[bind(C,$fot(X_6844)),bind(X_6784,$fot(X_6845))]]) ).
cnf(refute_0_169,plain,
coll(X_6844,skolemFOFtoCNF_C_1,X_6845),
inference(resolve,[$cnf( coll(X_6844,X_6845,skolemFOFtoCNF_C_1) )],[refute_0_168,refute_0_144]) ).
cnf(refute_0_170,plain,
coll(X_6870,skolemFOFtoCNF_C_1,X_6871),
inference(subst,[],[refute_0_169:[bind(X_6844,$fot(X_6870)),bind(X_6845,$fot(X_6871))]]) ).
cnf(refute_0_171,plain,
( ~ coll(X_6870,skolemFOFtoCNF_C_1,C)
| coll(C,X_6871,X_6870) ),
inference(resolve,[$cnf( coll(X_6870,skolemFOFtoCNF_C_1,X_6871) )],[refute_0_170,refute_0_143]) ).
cnf(refute_0_172,plain,
( ~ coll(X_6866,skolemFOFtoCNF_B_1,C)
| ~ coll(X_6866,skolemFOFtoCNF_B_1,X_6867)
| coll(C,X_6867,X_6866) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6866)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_6867))]]) ).
cnf(refute_0_173,plain,
( ~ coll(X_6756,skolemFOFtoCNF_A,C)
| ~ coll(X_6756,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_6756) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6756)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_174,plain,
( ~ coll(skolemFOFtoCNF_A,X_6755,skolemFOFtoCNF_B_1)
| coll(X_6755,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_6755)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_175,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_MIDPNT4)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_176,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_MIDPNT4)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_177,plain,
midp(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_178,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_MIDPNT4)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_179,plain,
coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_179,refute_0_176]) ).
cnf(refute_0_181,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_B_1) )],[refute_0_180,refute_0_175]) ).
cnf(refute_0_182,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_6711)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_6711,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_6711))]]) ).
cnf(refute_0_183,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_6711)
| coll(skolemFOFtoCNF_A,X_6711,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
coll(skolemFOFtoCNF_A,X_6711,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_6711) )],[refute_0_106,refute_0_183]) ).
cnf(refute_0_185,plain,
coll(skolemFOFtoCNF_A,X_6755,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_184:[bind(X_6711,$fot(X_6755))]]) ).
cnf(refute_0_186,plain,
coll(X_6755,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_6755,skolemFOFtoCNF_B_1) )],[refute_0_185,refute_0_174]) ).
cnf(refute_0_187,plain,
coll(X_6756,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_186:[bind(X_6755,$fot(X_6756))]]) ).
cnf(refute_0_188,plain,
( ~ coll(X_6756,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_B_1,X_6756) ),
inference(resolve,[$cnf( coll(X_6756,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_187,refute_0_173]) ).
cnf(refute_0_189,plain,
coll(X_6756,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_114:[bind(X_6709,$fot(C)),bind(X_6710,$fot(X_6756)),bind(X_6711,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_190,plain,
coll(C,skolemFOFtoCNF_B_1,X_6756),
inference(resolve,[$cnf( coll(X_6756,skolemFOFtoCNF_A,C) )],[refute_0_189,refute_0_188]) ).
cnf(refute_0_191,plain,
coll(X_6866,skolemFOFtoCNF_B_1,X_6867),
inference(subst,[],[refute_0_190:[bind(C,$fot(X_6866)),bind(X_6756,$fot(X_6867))]]) ).
cnf(refute_0_192,plain,
( ~ coll(X_6866,skolemFOFtoCNF_B_1,C)
| coll(C,X_6867,X_6866) ),
inference(resolve,[$cnf( coll(X_6866,skolemFOFtoCNF_B_1,X_6867) )],[refute_0_191,refute_0_172]) ).
cnf(refute_0_193,plain,
( ~ coll(X_6854,skolemFOFtoCNF_MIDPNT2,C)
| ~ coll(X_6854,skolemFOFtoCNF_MIDPNT2,X_6855)
| coll(C,X_6855,X_6854) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6854)),bind(B,$fot(skolemFOFtoCNF_MIDPNT2)),bind(D,$fot(X_6855))]]) ).
cnf(refute_0_194,plain,
( ~ coll(X_6853,skolemFOFtoCNF_C_1,C)
| ~ coll(X_6853,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2)
| coll(C,skolemFOFtoCNF_MIDPNT2,X_6853) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6853)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_195,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_6739,skolemFOFtoCNF_MIDPNT2)
| coll(X_6739,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_6739)),bind(C,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_196,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2)
| coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT2)),bind(D,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_197,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_198,plain,
midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_199,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_200,plain,
coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_200,refute_0_197]) ).
cnf(refute_0_202,plain,
coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2) )],[refute_0_201,refute_0_196]) ).
cnf(refute_0_203,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,X_6711)
| ~ coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_6711,skolemFOFtoCNF_MIDPNT2) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_MIDPNT2)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_6711))]]) ).
cnf(refute_0_204,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,X_6711)
| coll(skolemFOFtoCNF_C_1,X_6711,skolemFOFtoCNF_MIDPNT2) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_C_1) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,X_6711),
inference(subst,[],[refute_0_57:[bind(X_973,$fot(X_6711)),bind(X_974,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_206,plain,
coll(skolemFOFtoCNF_C_1,X_6711,skolemFOFtoCNF_MIDPNT2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_MIDPNT2,X_6711) )],[refute_0_205,refute_0_204]) ).
cnf(refute_0_207,plain,
coll(skolemFOFtoCNF_C_1,X_6739,skolemFOFtoCNF_MIDPNT2),
inference(subst,[],[refute_0_206:[bind(X_6711,$fot(X_6739))]]) ).
cnf(refute_0_208,plain,
coll(X_6739,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_6739,skolemFOFtoCNF_MIDPNT2) )],[refute_0_207,refute_0_195]) ).
cnf(refute_0_209,plain,
coll(X_6853,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2),
inference(subst,[],[refute_0_208:[bind(X_6739,$fot(X_6853))]]) ).
cnf(refute_0_210,plain,
( ~ coll(X_6853,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_MIDPNT2,X_6853) ),
inference(resolve,[$cnf( coll(X_6853,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2) )],[refute_0_209,refute_0_194]) ).
cnf(refute_0_211,plain,
( ~ coll(X_6850,skolemFOFtoCNF_MIDPNT21,C)
| ~ coll(X_6850,skolemFOFtoCNF_MIDPNT21,X_6851)
| coll(C,X_6851,X_6850) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6850)),bind(B,$fot(skolemFOFtoCNF_MIDPNT21)),bind(D,$fot(X_6851))]]) ).
cnf(refute_0_212,plain,
( ~ coll(X_6797,skolemFOFtoCNF_C_1,C)
| ~ coll(X_6797,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21)
| coll(C,skolemFOFtoCNF_MIDPNT21,X_6797) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6797)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT21))]]) ).
cnf(refute_0_213,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_6767,skolemFOFtoCNF_MIDPNT21)
| coll(X_6767,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_6767)),bind(C,$fot(skolemFOFtoCNF_MIDPNT21))]]) ).
cnf(refute_0_214,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21)
| coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT21)),bind(D,$fot(skolemFOFtoCNF_MIDPNT21))]]) ).
cnf(refute_0_215,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT21)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_216,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_MIDPNT21)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_217,plain,
coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) )],[refute_0_69,refute_0_216]) ).
cnf(refute_0_218,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) )],[refute_0_217,refute_0_215]) ).
cnf(refute_0_219,plain,
coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21) )],[refute_0_218,refute_0_214]) ).
cnf(refute_0_220,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21,X_6711)
| ~ coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_6711,skolemFOFtoCNF_MIDPNT21) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT21)),bind(B,$fot(skolemFOFtoCNF_MIDPNT21)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_6711))]]) ).
cnf(refute_0_221,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21,X_6711)
| coll(skolemFOFtoCNF_C_1,X_6711,skolemFOFtoCNF_MIDPNT21) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_C_1) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21,X_6711),
inference(subst,[],[refute_0_57:[bind(X_973,$fot(X_6711)),bind(X_974,$fot(skolemFOFtoCNF_MIDPNT21))]]) ).
cnf(refute_0_223,plain,
coll(skolemFOFtoCNF_C_1,X_6711,skolemFOFtoCNF_MIDPNT21),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21,X_6711) )],[refute_0_222,refute_0_221]) ).
cnf(refute_0_224,plain,
coll(skolemFOFtoCNF_C_1,X_6767,skolemFOFtoCNF_MIDPNT21),
inference(subst,[],[refute_0_223:[bind(X_6711,$fot(X_6767))]]) ).
cnf(refute_0_225,plain,
coll(X_6767,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_6767,skolemFOFtoCNF_MIDPNT21) )],[refute_0_224,refute_0_213]) ).
cnf(refute_0_226,plain,
coll(X_6797,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21),
inference(subst,[],[refute_0_225:[bind(X_6767,$fot(X_6797))]]) ).
cnf(refute_0_227,plain,
( ~ coll(X_6797,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_MIDPNT21,X_6797) ),
inference(resolve,[$cnf( coll(X_6797,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21) )],[refute_0_226,refute_0_212]) ).
cnf(refute_0_228,plain,
coll(X_6797,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_114:[bind(X_6709,$fot(C)),bind(X_6710,$fot(X_6797)),bind(X_6711,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_229,plain,
coll(C,skolemFOFtoCNF_MIDPNT21,X_6797),
inference(resolve,[$cnf( coll(X_6797,skolemFOFtoCNF_C_1,C) )],[refute_0_228,refute_0_227]) ).
cnf(refute_0_230,plain,
coll(X_6850,skolemFOFtoCNF_MIDPNT21,X_6851),
inference(subst,[],[refute_0_229:[bind(C,$fot(X_6850)),bind(X_6797,$fot(X_6851))]]) ).
cnf(refute_0_231,plain,
( ~ coll(X_6850,skolemFOFtoCNF_MIDPNT21,C)
| coll(C,X_6851,X_6850) ),
inference(resolve,[$cnf( coll(X_6850,skolemFOFtoCNF_MIDPNT21,X_6851) )],[refute_0_230,refute_0_211]) ).
cnf(refute_0_232,plain,
( ~ coll(X_6848,skolemFOFtoCNF_H,C)
| ~ coll(X_6848,skolemFOFtoCNF_H,X_6849)
| coll(C,X_6849,X_6848) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6848)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_6849))]]) ).
cnf(refute_0_233,plain,
( ~ coll(X_6748,skolemFOFtoCNF_MIDPNT5,C)
| ~ coll(X_6748,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_H)
| coll(C,skolemFOFtoCNF_H,X_6748) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6748)),bind(B,$fot(skolemFOFtoCNF_MIDPNT5)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_234,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT5,X_6731,skolemFOFtoCNF_H)
| coll(X_6731,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_MIDPNT5)),bind(B,$fot(X_6731)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_235,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT5) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT5)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_236,plain,
midp(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_H),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_237,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_MIDPNT5)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_238,plain,
coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_H),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_H) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT5),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_H) )],[refute_0_238,refute_0_235]) ).
cnf(refute_0_240,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_6711)
| ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT5)
| coll(skolemFOFtoCNF_MIDPNT5,X_6711,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_MIDPNT5)),bind(D,$fot(X_6711))]]) ).
cnf(refute_0_241,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_6711)
| coll(skolemFOFtoCNF_MIDPNT5,X_6711,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT5) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_6711),
inference(subst,[],[refute_0_57:[bind(X_973,$fot(X_6711)),bind(X_974,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_243,plain,
coll(skolemFOFtoCNF_MIDPNT5,X_6711,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_6711) )],[refute_0_242,refute_0_241]) ).
cnf(refute_0_244,plain,
coll(skolemFOFtoCNF_MIDPNT5,X_6731,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_243:[bind(X_6711,$fot(X_6731))]]) ).
cnf(refute_0_245,plain,
coll(X_6731,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT5,X_6731,skolemFOFtoCNF_H) )],[refute_0_244,refute_0_234]) ).
cnf(refute_0_246,plain,
coll(X_6748,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_245:[bind(X_6731,$fot(X_6748))]]) ).
cnf(refute_0_247,plain,
( ~ coll(X_6748,skolemFOFtoCNF_MIDPNT5,C)
| coll(C,skolemFOFtoCNF_H,X_6748) ),
inference(resolve,[$cnf( coll(X_6748,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_H) )],[refute_0_246,refute_0_233]) ).
cnf(refute_0_248,plain,
coll(X_6748,skolemFOFtoCNF_MIDPNT5,C),
inference(subst,[],[refute_0_114:[bind(X_6709,$fot(C)),bind(X_6710,$fot(X_6748)),bind(X_6711,$fot(skolemFOFtoCNF_MIDPNT5))]]) ).
cnf(refute_0_249,plain,
coll(C,skolemFOFtoCNF_H,X_6748),
inference(resolve,[$cnf( coll(X_6748,skolemFOFtoCNF_MIDPNT5,C) )],[refute_0_248,refute_0_247]) ).
cnf(refute_0_250,plain,
coll(X_6848,skolemFOFtoCNF_H,X_6849),
inference(subst,[],[refute_0_249:[bind(C,$fot(X_6848)),bind(X_6748,$fot(X_6849))]]) ).
cnf(refute_0_251,plain,
( ~ coll(X_6848,skolemFOFtoCNF_H,C)
| coll(C,X_6849,X_6848) ),
inference(resolve,[$cnf( coll(X_6848,skolemFOFtoCNF_H,X_6849) )],[refute_0_250,refute_0_232]) ).
cnf(refute_0_252,plain,
coll(X_6848,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_114:[bind(X_6709,$fot(C)),bind(X_6710,$fot(X_6848)),bind(X_6711,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_253,plain,
coll(C,X_6849,X_6848),
inference(resolve,[$cnf( coll(X_6848,skolemFOFtoCNF_H,C) )],[refute_0_252,refute_0_251]) ).
cnf(refute_0_254,plain,
coll(X_6850,skolemFOFtoCNF_MIDPNT21,C),
inference(subst,[],[refute_0_253:[bind(C,$fot(X_6850)),bind(X_6848,$fot(C)),bind(X_6849,$fot(skolemFOFtoCNF_MIDPNT21))]]) ).
cnf(refute_0_255,plain,
coll(C,X_6851,X_6850),
inference(resolve,[$cnf( coll(X_6850,skolemFOFtoCNF_MIDPNT21,C) )],[refute_0_254,refute_0_231]) ).
cnf(refute_0_256,plain,
coll(X_6853,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_255:[bind(C,$fot(X_6853)),bind(X_6850,$fot(C)),bind(X_6851,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_257,plain,
coll(C,skolemFOFtoCNF_MIDPNT2,X_6853),
inference(resolve,[$cnf( coll(X_6853,skolemFOFtoCNF_C_1,C) )],[refute_0_256,refute_0_210]) ).
cnf(refute_0_258,plain,
coll(X_6854,skolemFOFtoCNF_MIDPNT2,X_6855),
inference(subst,[],[refute_0_257:[bind(C,$fot(X_6854)),bind(X_6853,$fot(X_6855))]]) ).
cnf(refute_0_259,plain,
( ~ coll(X_6854,skolemFOFtoCNF_MIDPNT2,C)
| coll(C,X_6855,X_6854) ),
inference(resolve,[$cnf( coll(X_6854,skolemFOFtoCNF_MIDPNT2,X_6855) )],[refute_0_258,refute_0_193]) ).
cnf(refute_0_260,plain,
coll(X_6854,skolemFOFtoCNF_MIDPNT2,C),
inference(subst,[],[refute_0_255:[bind(C,$fot(X_6854)),bind(X_6850,$fot(C)),bind(X_6851,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_261,plain,
coll(C,X_6855,X_6854),
inference(resolve,[$cnf( coll(X_6854,skolemFOFtoCNF_MIDPNT2,C) )],[refute_0_260,refute_0_259]) ).
cnf(refute_0_262,plain,
coll(X_6866,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_261:[bind(C,$fot(X_6866)),bind(X_6854,$fot(C)),bind(X_6855,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_263,plain,
coll(C,X_6867,X_6866),
inference(resolve,[$cnf( coll(X_6866,skolemFOFtoCNF_B_1,C) )],[refute_0_262,refute_0_192]) ).
cnf(refute_0_264,plain,
coll(X_6870,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_263:[bind(C,$fot(X_6870)),bind(X_6866,$fot(C)),bind(X_6867,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_265,plain,
coll(C,X_6871,X_6870),
inference(resolve,[$cnf( coll(X_6870,skolemFOFtoCNF_C_1,C) )],[refute_0_264,refute_0_171]) ).
cnf(refute_0_266,plain,
coll(X_6878,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_265:[bind(C,$fot(X_6878)),bind(X_6870,$fot(C)),bind(X_6871,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_267,plain,
coll(C,skolemFOFtoCNF_MIDPNT7,X_6878),
inference(resolve,[$cnf( coll(X_6878,skolemFOFtoCNF_A,C) )],[refute_0_266,refute_0_142]) ).
cnf(refute_0_268,plain,
coll(X_6981,skolemFOFtoCNF_MIDPNT7,X_6982),
inference(subst,[],[refute_0_267:[bind(C,$fot(X_6981)),bind(X_6878,$fot(X_6982))]]) ).
cnf(refute_0_269,plain,
( ~ coll(X_6981,skolemFOFtoCNF_MIDPNT7,C)
| coll(C,X_6982,X_6981) ),
inference(resolve,[$cnf( coll(X_6981,skolemFOFtoCNF_MIDPNT7,X_6982) )],[refute_0_268,refute_0_123]) ).
cnf(refute_0_270,plain,
( ~ coll(X_6975,skolemFOFtoCNF_MIDPNT3,C)
| ~ coll(X_6975,skolemFOFtoCNF_MIDPNT3,X_6976)
| coll(C,X_6976,X_6975) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6975)),bind(B,$fot(skolemFOFtoCNF_MIDPNT3)),bind(D,$fot(X_6976))]]) ).
cnf(refute_0_271,plain,
( ~ coll(X_6971,X_6972,skolemFOFtoCNF_MIDPNT3)
| coll(X_6971,skolemFOFtoCNF_MIDPNT3,X_6972) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_6971)),bind(B,$fot(X_6972)),bind(C,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_272,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),C)
| ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),X_6943)
| coll(C,X_6943,skolemFOFtoCNF_MIDPNT3) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3))),bind(D,$fot(X_6943))]]) ).
cnf(refute_0_273,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT3,X_6942,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3))
| coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),X_6942) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(X_6942)),bind(C,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)))]]) ).
cnf(refute_0_274,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3))
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_MIDPNT3) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3))),bind(D,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)))]]) ).
cnf(refute_0_275,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3))),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_276,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3))),bind(B,$fot(skolemFOFtoCNF_MIDPNT3)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_277,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3))),bind(C,$fot(skolemFOFtoCNF_MIDPNT3)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_278,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_279,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_278:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT3)),bind(H,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)))]]) ).
cnf(refute_0_280,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3))),bind(C,$fot(skolemFOFtoCNF_MIDPNT3)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_281,plain,
( ~ perp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3))
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)))]]) ).
cnf(refute_0_282,plain,
( ~ perp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3))),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_283,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT3)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_284,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_285,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1)
| circle(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_286,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_287,plain,
cong(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_150,refute_0_286]) ).
cnf(refute_0_288,plain,
circle(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1) )],[refute_0_287,refute_0_285]) ).
cnf(refute_0_289,plain,
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(canonicalize,[],[normalize_0_78]) ).
cnf(refute_0_290,plain,
( ~ circle(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3) ),
inference(subst,[],[refute_0_289:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_291,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_288,refute_0_290]) ).
cnf(refute_0_292,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3) )],[refute_0_291,refute_0_284]) ).
cnf(refute_0_293,plain,
perp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) )],[refute_0_292,refute_0_283]) ).
cnf(refute_0_294,plain,
perp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1) )],[refute_0_293,refute_0_282]) ).
cnf(refute_0_295,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)) )],[refute_0_294,refute_0_281]) ).
cnf(refute_0_296,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) )],[refute_0_295,refute_0_280]) ).
cnf(refute_0_297,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3) )],[refute_0_296,refute_0_279]) ).
cnf(refute_0_298,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) )],[refute_0_297,refute_0_277]) ).
cnf(refute_0_299,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) ),
inference(canonicalize,[],[normalize_0_79]) ).
cnf(refute_0_300,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)
| coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_299:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT3)),bind(H,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)))]]) ).
cnf(refute_0_301,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3) )],[refute_0_298,refute_0_300]) ).
cnf(refute_0_302,plain,
coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) )],[refute_0_301,refute_0_276]) ).
cnf(refute_0_303,plain,
coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_B_1) )],[refute_0_302,refute_0_275]) ).
cnf(refute_0_304,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_MIDPNT3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)) )],[refute_0_303,refute_0_274]) ).
cnf(refute_0_305,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),X_6711)
| ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_MIDPNT3)
| coll(skolemFOFtoCNF_MIDPNT3,X_6711,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3))),bind(B,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3))),bind(C,$fot(skolemFOFtoCNF_MIDPNT3)),bind(D,$fot(X_6711))]]) ).
cnf(refute_0_306,plain,
( ~ coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),X_6711)
| coll(skolemFOFtoCNF_MIDPNT3,X_6711,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_MIDPNT3) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),X_6711),
inference(subst,[],[refute_0_57:[bind(X_973,$fot(X_6711)),bind(X_974,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)))]]) ).
cnf(refute_0_308,plain,
coll(skolemFOFtoCNF_MIDPNT3,X_6711,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),X_6711) )],[refute_0_307,refute_0_306]) ).
cnf(refute_0_309,plain,
coll(skolemFOFtoCNF_MIDPNT3,X_6942,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)),
inference(subst,[],[refute_0_308:[bind(X_6711,$fot(X_6942))]]) ).
cnf(refute_0_310,plain,
coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),X_6942),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT3,X_6942,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)) )],[refute_0_309,refute_0_273]) ).
cnf(refute_0_311,plain,
coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),X_6943),
inference(subst,[],[refute_0_310:[bind(X_6942,$fot(X_6943))]]) ).
cnf(refute_0_312,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),C)
| coll(C,X_6943,skolemFOFtoCNF_MIDPNT3) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),X_6943) )],[refute_0_311,refute_0_272]) ).
cnf(refute_0_313,plain,
( ~ coll(X_6924,skolemFOFtoCNF_A,C)
| ~ coll(X_6924,skolemFOFtoCNF_A,X_6925)
| coll(C,X_6925,X_6924) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6924)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_6925))]]) ).
cnf(refute_0_314,plain,
( ~ coll(X_6896,skolemFOFtoCNF_MIDPNT7,C)
| ~ coll(X_6896,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,X_6896) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6896)),bind(B,$fot(skolemFOFtoCNF_MIDPNT7)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_315,plain,
( ~ coll(skolemFOFtoCNF_A,X_6834,C)
| ~ coll(skolemFOFtoCNF_A,X_6834,skolemFOFtoCNF_MIDPNT7)
| coll(C,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_6834)),bind(D,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_316,plain,
( ~ coll(skolemFOFtoCNF_A,X_6834,C)
| coll(C,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_6834,skolemFOFtoCNF_MIDPNT7) )],[refute_0_139,refute_0_315]) ).
cnf(refute_0_317,plain,
coll(skolemFOFtoCNF_A,X_6834,C),
inference(subst,[],[refute_0_114:[bind(X_6709,$fot(C)),bind(X_6710,$fot(skolemFOFtoCNF_A)),bind(X_6711,$fot(X_6834))]]) ).
cnf(refute_0_318,plain,
coll(C,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_6834,C) )],[refute_0_317,refute_0_316]) ).
cnf(refute_0_319,plain,
coll(X_6896,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_318:[bind(C,$fot(X_6896))]]) ).
cnf(refute_0_320,plain,
( ~ coll(X_6896,skolemFOFtoCNF_MIDPNT7,C)
| coll(C,skolemFOFtoCNF_A,X_6896) ),
inference(resolve,[$cnf( coll(X_6896,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_A) )],[refute_0_319,refute_0_314]) ).
cnf(refute_0_321,plain,
( ~ coll(X_6894,skolemFOFtoCNF_MIDPNT01,C)
| ~ coll(X_6894,skolemFOFtoCNF_MIDPNT01,X_6895)
| coll(C,X_6895,X_6894) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6894)),bind(B,$fot(skolemFOFtoCNF_MIDPNT01)),bind(D,$fot(X_6895))]]) ).
cnf(refute_0_322,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT01,X_6881,X_6882)
| coll(X_6881,skolemFOFtoCNF_MIDPNT01,X_6882) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_MIDPNT01)),bind(B,$fot(X_6881)),bind(C,$fot(X_6882))]]) ).
cnf(refute_0_323,plain,
( ~ coll(X_6730,skolemFOFtoCNF_H,D)
| ~ coll(X_6730,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01)
| coll(skolemFOFtoCNF_MIDPNT01,D,X_6730) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6730)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_MIDPNT01))]]) ).
cnf(refute_0_324,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT01,X_6729,C)
| ~ coll(skolemFOFtoCNF_MIDPNT01,X_6729,skolemFOFtoCNF_H)
| coll(C,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT01)),bind(B,$fot(X_6729)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_325,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT01)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_326,plain,
midp(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(canonicalize,[],[normalize_0_80]) ).
cnf(refute_0_327,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_MIDPNT01)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_328,plain,
coll(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_328,refute_0_325]) ).
cnf(refute_0_330,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_6711)
| ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01)
| coll(skolemFOFtoCNF_MIDPNT01,X_6711,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_MIDPNT01)),bind(D,$fot(X_6711))]]) ).
cnf(refute_0_331,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_6711)
| coll(skolemFOFtoCNF_MIDPNT01,X_6711,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
coll(skolemFOFtoCNF_MIDPNT01,X_6711,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_6711) )],[refute_0_242,refute_0_331]) ).
cnf(refute_0_333,plain,
coll(skolemFOFtoCNF_MIDPNT01,X_6729,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_332:[bind(X_6711,$fot(X_6729))]]) ).
cnf(refute_0_334,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT01,X_6729,C)
| coll(C,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT01,X_6729,skolemFOFtoCNF_H) )],[refute_0_333,refute_0_324]) ).
cnf(refute_0_335,plain,
coll(skolemFOFtoCNF_MIDPNT01,X_6729,C),
inference(subst,[],[refute_0_114:[bind(X_6709,$fot(C)),bind(X_6710,$fot(skolemFOFtoCNF_MIDPNT01)),bind(X_6711,$fot(X_6729))]]) ).
cnf(refute_0_336,plain,
coll(C,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT01,X_6729,C) )],[refute_0_335,refute_0_334]) ).
cnf(refute_0_337,plain,
coll(X_6730,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01),
inference(subst,[],[refute_0_336:[bind(C,$fot(X_6730))]]) ).
cnf(refute_0_338,plain,
( ~ coll(X_6730,skolemFOFtoCNF_H,D)
| coll(skolemFOFtoCNF_MIDPNT01,D,X_6730) ),
inference(resolve,[$cnf( coll(X_6730,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01) )],[refute_0_337,refute_0_323]) ).
cnf(refute_0_339,plain,
coll(X_6730,skolemFOFtoCNF_H,D),
inference(subst,[],[refute_0_114:[bind(X_6709,$fot(D)),bind(X_6710,$fot(X_6730)),bind(X_6711,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_340,plain,
coll(skolemFOFtoCNF_MIDPNT01,D,X_6730),
inference(resolve,[$cnf( coll(X_6730,skolemFOFtoCNF_H,D) )],[refute_0_339,refute_0_338]) ).
cnf(refute_0_341,plain,
coll(skolemFOFtoCNF_MIDPNT01,X_6881,X_6882),
inference(subst,[],[refute_0_340:[bind(D,$fot(X_6881)),bind(X_6730,$fot(X_6882))]]) ).
cnf(refute_0_342,plain,
coll(X_6881,skolemFOFtoCNF_MIDPNT01,X_6882),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT01,X_6881,X_6882) )],[refute_0_341,refute_0_322]) ).
cnf(refute_0_343,plain,
coll(X_6894,skolemFOFtoCNF_MIDPNT01,X_6895),
inference(subst,[],[refute_0_342:[bind(X_6881,$fot(X_6894)),bind(X_6882,$fot(X_6895))]]) ).
cnf(refute_0_344,plain,
( ~ coll(X_6894,skolemFOFtoCNF_MIDPNT01,C)
| coll(C,X_6895,X_6894) ),
inference(resolve,[$cnf( coll(X_6894,skolemFOFtoCNF_MIDPNT01,X_6895) )],[refute_0_343,refute_0_321]) ).
cnf(refute_0_345,plain,
( ~ coll(X_6887,skolemFOFtoCNF_MIDPNT6,C)
| ~ coll(X_6887,skolemFOFtoCNF_MIDPNT6,X_6888)
| coll(C,X_6888,X_6887) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6887)),bind(B,$fot(skolemFOFtoCNF_MIDPNT6)),bind(D,$fot(X_6888))]]) ).
cnf(refute_0_346,plain,
( ~ coll(X_6734,skolemFOFtoCNF_H,C)
| ~ coll(X_6734,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6)
| coll(C,skolemFOFtoCNF_MIDPNT6,X_6734) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6734)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_347,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT6,X_6733,C)
| ~ coll(skolemFOFtoCNF_MIDPNT6,X_6733,skolemFOFtoCNF_H)
| coll(C,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT6)),bind(B,$fot(X_6733)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_348,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT6)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_349,plain,
midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(canonicalize,[],[normalize_0_81]) ).
cnf(refute_0_350,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_MIDPNT6)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_351,plain,
coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_351,refute_0_348]) ).
cnf(refute_0_353,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_6711)
| ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6)
| coll(skolemFOFtoCNF_MIDPNT6,X_6711,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_MIDPNT6)),bind(D,$fot(X_6711))]]) ).
cnf(refute_0_354,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_6711)
| coll(skolemFOFtoCNF_MIDPNT6,X_6711,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
coll(skolemFOFtoCNF_MIDPNT6,X_6711,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_6711) )],[refute_0_242,refute_0_354]) ).
cnf(refute_0_356,plain,
coll(skolemFOFtoCNF_MIDPNT6,X_6733,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_355:[bind(X_6711,$fot(X_6733))]]) ).
cnf(refute_0_357,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT6,X_6733,C)
| coll(C,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT6,X_6733,skolemFOFtoCNF_H) )],[refute_0_356,refute_0_347]) ).
cnf(refute_0_358,plain,
coll(skolemFOFtoCNF_MIDPNT6,X_6733,C),
inference(subst,[],[refute_0_114:[bind(X_6709,$fot(C)),bind(X_6710,$fot(skolemFOFtoCNF_MIDPNT6)),bind(X_6711,$fot(X_6733))]]) ).
cnf(refute_0_359,plain,
coll(C,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT6,X_6733,C) )],[refute_0_358,refute_0_357]) ).
cnf(refute_0_360,plain,
coll(X_6734,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6),
inference(subst,[],[refute_0_359:[bind(C,$fot(X_6734))]]) ).
cnf(refute_0_361,plain,
( ~ coll(X_6734,skolemFOFtoCNF_H,C)
| coll(C,skolemFOFtoCNF_MIDPNT6,X_6734) ),
inference(resolve,[$cnf( coll(X_6734,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6) )],[refute_0_360,refute_0_346]) ).
cnf(refute_0_362,plain,
coll(X_6734,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_114:[bind(X_6709,$fot(C)),bind(X_6710,$fot(X_6734)),bind(X_6711,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_363,plain,
coll(C,skolemFOFtoCNF_MIDPNT6,X_6734),
inference(resolve,[$cnf( coll(X_6734,skolemFOFtoCNF_H,C) )],[refute_0_362,refute_0_361]) ).
cnf(refute_0_364,plain,
coll(X_6887,skolemFOFtoCNF_MIDPNT6,X_6888),
inference(subst,[],[refute_0_363:[bind(C,$fot(X_6887)),bind(X_6734,$fot(X_6888))]]) ).
cnf(refute_0_365,plain,
( ~ coll(X_6887,skolemFOFtoCNF_MIDPNT6,C)
| coll(C,X_6888,X_6887) ),
inference(resolve,[$cnf( coll(X_6887,skolemFOFtoCNF_MIDPNT6,X_6888) )],[refute_0_364,refute_0_345]) ).
cnf(refute_0_366,plain,
( ~ coll(X_6883,skolemFOFtoCNF_MIDPNT5,C)
| ~ coll(X_6883,skolemFOFtoCNF_MIDPNT5,X_6884)
| coll(C,X_6884,X_6883) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6883)),bind(B,$fot(skolemFOFtoCNF_MIDPNT5)),bind(D,$fot(X_6884))]]) ).
cnf(refute_0_367,plain,
( ~ coll(X_6732,skolemFOFtoCNF_H,C)
| ~ coll(X_6732,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT5)
| coll(C,skolemFOFtoCNF_MIDPNT5,X_6732) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6732)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_MIDPNT5))]]) ).
cnf(refute_0_368,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT5,X_6731,C)
| ~ coll(skolemFOFtoCNF_MIDPNT5,X_6731,skolemFOFtoCNF_H)
| coll(C,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT5) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT5)),bind(B,$fot(X_6731)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_369,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT5,X_6731,C)
| coll(C,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT5) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT5,X_6731,skolemFOFtoCNF_H) )],[refute_0_244,refute_0_368]) ).
cnf(refute_0_370,plain,
coll(skolemFOFtoCNF_MIDPNT5,X_6731,C),
inference(subst,[],[refute_0_114:[bind(X_6709,$fot(C)),bind(X_6710,$fot(skolemFOFtoCNF_MIDPNT5)),bind(X_6711,$fot(X_6731))]]) ).
cnf(refute_0_371,plain,
coll(C,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT5),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT5,X_6731,C) )],[refute_0_370,refute_0_369]) ).
cnf(refute_0_372,plain,
coll(X_6732,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT5),
inference(subst,[],[refute_0_371:[bind(C,$fot(X_6732))]]) ).
cnf(refute_0_373,plain,
( ~ coll(X_6732,skolemFOFtoCNF_H,C)
| coll(C,skolemFOFtoCNF_MIDPNT5,X_6732) ),
inference(resolve,[$cnf( coll(X_6732,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT5) )],[refute_0_372,refute_0_367]) ).
cnf(refute_0_374,plain,
coll(X_6732,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_114:[bind(X_6709,$fot(C)),bind(X_6710,$fot(X_6732)),bind(X_6711,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_375,plain,
coll(C,skolemFOFtoCNF_MIDPNT5,X_6732),
inference(resolve,[$cnf( coll(X_6732,skolemFOFtoCNF_H,C) )],[refute_0_374,refute_0_373]) ).
cnf(refute_0_376,plain,
coll(X_6883,skolemFOFtoCNF_MIDPNT5,X_6884),
inference(subst,[],[refute_0_375:[bind(C,$fot(X_6883)),bind(X_6732,$fot(X_6884))]]) ).
cnf(refute_0_377,plain,
( ~ coll(X_6883,skolemFOFtoCNF_MIDPNT5,C)
| coll(C,X_6884,X_6883) ),
inference(resolve,[$cnf( coll(X_6883,skolemFOFtoCNF_MIDPNT5,X_6884) )],[refute_0_376,refute_0_366]) ).
cnf(refute_0_378,plain,
coll(X_6883,skolemFOFtoCNF_MIDPNT5,C),
inference(subst,[],[refute_0_265:[bind(C,$fot(X_6883)),bind(X_6870,$fot(C)),bind(X_6871,$fot(skolemFOFtoCNF_MIDPNT5))]]) ).
cnf(refute_0_379,plain,
coll(C,X_6884,X_6883),
inference(resolve,[$cnf( coll(X_6883,skolemFOFtoCNF_MIDPNT5,C) )],[refute_0_378,refute_0_377]) ).
cnf(refute_0_380,plain,
coll(X_6887,skolemFOFtoCNF_MIDPNT6,C),
inference(subst,[],[refute_0_379:[bind(C,$fot(X_6887)),bind(X_6883,$fot(C)),bind(X_6884,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_381,plain,
coll(C,X_6888,X_6887),
inference(resolve,[$cnf( coll(X_6887,skolemFOFtoCNF_MIDPNT6,C) )],[refute_0_380,refute_0_365]) ).
cnf(refute_0_382,plain,
coll(X_6894,skolemFOFtoCNF_MIDPNT01,C),
inference(subst,[],[refute_0_381:[bind(C,$fot(X_6894)),bind(X_6887,$fot(C)),bind(X_6888,$fot(skolemFOFtoCNF_MIDPNT01))]]) ).
cnf(refute_0_383,plain,
coll(C,X_6895,X_6894),
inference(resolve,[$cnf( coll(X_6894,skolemFOFtoCNF_MIDPNT01,C) )],[refute_0_382,refute_0_344]) ).
cnf(refute_0_384,plain,
coll(X_6896,skolemFOFtoCNF_MIDPNT7,C),
inference(subst,[],[refute_0_383:[bind(C,$fot(X_6896)),bind(X_6894,$fot(C)),bind(X_6895,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_385,plain,
coll(C,skolemFOFtoCNF_A,X_6896),
inference(resolve,[$cnf( coll(X_6896,skolemFOFtoCNF_MIDPNT7,C) )],[refute_0_384,refute_0_320]) ).
cnf(refute_0_386,plain,
coll(X_6924,skolemFOFtoCNF_A,X_6925),
inference(subst,[],[refute_0_385:[bind(C,$fot(X_6924)),bind(X_6896,$fot(X_6925))]]) ).
cnf(refute_0_387,plain,
( ~ coll(X_6924,skolemFOFtoCNF_A,C)
| coll(C,X_6925,X_6924) ),
inference(resolve,[$cnf( coll(X_6924,skolemFOFtoCNF_A,X_6925) )],[refute_0_386,refute_0_313]) ).
cnf(refute_0_388,plain,
coll(X_6924,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_383:[bind(C,$fot(X_6924)),bind(X_6894,$fot(C)),bind(X_6895,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_389,plain,
coll(C,X_6925,X_6924),
inference(resolve,[$cnf( coll(X_6924,skolemFOFtoCNF_A,C) )],[refute_0_388,refute_0_387]) ).
cnf(refute_0_390,plain,
coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),C),
inference(subst,[],[refute_0_389:[bind(C,$fot(skolemFOFtoCNF_MIDPNT3)),bind(X_6924,$fot(C)),bind(X_6925,$fot(skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)))]]) ).
cnf(refute_0_391,plain,
coll(C,X_6943,skolemFOFtoCNF_MIDPNT3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_Q_1(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),C) )],[refute_0_390,refute_0_312]) ).
cnf(refute_0_392,plain,
coll(X_6971,X_6972,skolemFOFtoCNF_MIDPNT3),
inference(subst,[],[refute_0_391:[bind(C,$fot(X_6971)),bind(X_6943,$fot(X_6972))]]) ).
cnf(refute_0_393,plain,
coll(X_6971,skolemFOFtoCNF_MIDPNT3,X_6972),
inference(resolve,[$cnf( coll(X_6971,X_6972,skolemFOFtoCNF_MIDPNT3) )],[refute_0_392,refute_0_271]) ).
cnf(refute_0_394,plain,
coll(X_6975,skolemFOFtoCNF_MIDPNT3,X_6976),
inference(subst,[],[refute_0_393:[bind(X_6971,$fot(X_6975)),bind(X_6972,$fot(X_6976))]]) ).
cnf(refute_0_395,plain,
( ~ coll(X_6975,skolemFOFtoCNF_MIDPNT3,C)
| coll(C,X_6976,X_6975) ),
inference(resolve,[$cnf( coll(X_6975,skolemFOFtoCNF_MIDPNT3,X_6976) )],[refute_0_394,refute_0_270]) ).
cnf(refute_0_396,plain,
( ~ coll(X_6961,skolemFOFtoCNF_MIDPNT4,C)
| ~ coll(X_6961,skolemFOFtoCNF_MIDPNT4,X_6962)
| coll(C,X_6962,X_6961) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6961)),bind(B,$fot(skolemFOFtoCNF_MIDPNT4)),bind(D,$fot(X_6962))]]) ).
cnf(refute_0_397,plain,
( ~ coll(X_6773,skolemFOFtoCNF_B_1,C)
| ~ coll(X_6773,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT4)
| coll(C,skolemFOFtoCNF_MIDPNT4,X_6773) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6773)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT4))]]) ).
cnf(refute_0_398,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_6771,skolemFOFtoCNF_MIDPNT4)
| coll(X_6771,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT4) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_6771)),bind(C,$fot(skolemFOFtoCNF_MIDPNT4))]]) ).
cnf(refute_0_399,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT4)
| coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT4)),bind(D,$fot(skolemFOFtoCNF_MIDPNT4))]]) ).
cnf(refute_0_400,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT4) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT4)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_401,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT4),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_179,refute_0_400]) ).
cnf(refute_0_402,plain,
coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT4) )],[refute_0_401,refute_0_399]) ).
cnf(refute_0_403,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_MIDPNT4,X_6711)
| ~ coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_6711,skolemFOFtoCNF_MIDPNT4) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT4)),bind(B,$fot(skolemFOFtoCNF_MIDPNT4)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_6711))]]) ).
cnf(refute_0_404,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_MIDPNT4,X_6711)
| coll(skolemFOFtoCNF_B_1,X_6711,skolemFOFtoCNF_MIDPNT4) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_B_1) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_MIDPNT4,X_6711),
inference(subst,[],[refute_0_57:[bind(X_973,$fot(X_6711)),bind(X_974,$fot(skolemFOFtoCNF_MIDPNT4))]]) ).
cnf(refute_0_406,plain,
coll(skolemFOFtoCNF_B_1,X_6711,skolemFOFtoCNF_MIDPNT4),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_MIDPNT4,X_6711) )],[refute_0_405,refute_0_404]) ).
cnf(refute_0_407,plain,
coll(skolemFOFtoCNF_B_1,X_6771,skolemFOFtoCNF_MIDPNT4),
inference(subst,[],[refute_0_406:[bind(X_6711,$fot(X_6771))]]) ).
cnf(refute_0_408,plain,
coll(X_6771,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT4),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_6771,skolemFOFtoCNF_MIDPNT4) )],[refute_0_407,refute_0_398]) ).
cnf(refute_0_409,plain,
coll(X_6773,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT4),
inference(subst,[],[refute_0_408:[bind(X_6771,$fot(X_6773))]]) ).
cnf(refute_0_410,plain,
( ~ coll(X_6773,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_MIDPNT4,X_6773) ),
inference(resolve,[$cnf( coll(X_6773,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT4) )],[refute_0_409,refute_0_397]) ).
cnf(refute_0_411,plain,
coll(X_6773,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_114:[bind(X_6709,$fot(C)),bind(X_6710,$fot(X_6773)),bind(X_6711,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_412,plain,
coll(C,skolemFOFtoCNF_MIDPNT4,X_6773),
inference(resolve,[$cnf( coll(X_6773,skolemFOFtoCNF_B_1,C) )],[refute_0_411,refute_0_410]) ).
cnf(refute_0_413,plain,
coll(X_6961,skolemFOFtoCNF_MIDPNT4,X_6962),
inference(subst,[],[refute_0_412:[bind(C,$fot(X_6961)),bind(X_6773,$fot(X_6962))]]) ).
cnf(refute_0_414,plain,
( ~ coll(X_6961,skolemFOFtoCNF_MIDPNT4,C)
| coll(C,X_6962,X_6961) ),
inference(resolve,[$cnf( coll(X_6961,skolemFOFtoCNF_MIDPNT4,X_6962) )],[refute_0_413,refute_0_396]) ).
cnf(refute_0_415,plain,
( ~ coll(X_6955,skolemFOFtoCNF_MIDPNT1,C)
| ~ coll(X_6955,skolemFOFtoCNF_MIDPNT1,X_6956)
| coll(C,X_6956,X_6955) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6955)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(D,$fot(X_6956))]]) ).
cnf(refute_0_416,plain,
( ~ coll(X_6877,skolemFOFtoCNF_A,C)
| ~ coll(X_6877,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1)
| coll(C,skolemFOFtoCNF_MIDPNT1,X_6877) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6877)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_417,plain,
( ~ coll(skolemFOFtoCNF_A,X_6766,skolemFOFtoCNF_MIDPNT1)
| coll(X_6766,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_6766)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_418,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1)
| coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_419,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_420,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_421,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_35,refute_0_420]) ).
cnf(refute_0_422,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_421,refute_0_419]) ).
cnf(refute_0_423,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) )],[refute_0_422,refute_0_418]) ).
cnf(refute_0_424,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_6711)
| ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_6711,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_6711))]]) ).
cnf(refute_0_425,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_6711)
| coll(skolemFOFtoCNF_A,X_6711,skolemFOFtoCNF_MIDPNT1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_6711),
inference(subst,[],[refute_0_57:[bind(X_973,$fot(X_6711)),bind(X_974,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_427,plain,
coll(skolemFOFtoCNF_A,X_6711,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_6711) )],[refute_0_426,refute_0_425]) ).
cnf(refute_0_428,plain,
coll(skolemFOFtoCNF_A,X_6766,skolemFOFtoCNF_MIDPNT1),
inference(subst,[],[refute_0_427:[bind(X_6711,$fot(X_6766))]]) ).
cnf(refute_0_429,plain,
coll(X_6766,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_6766,skolemFOFtoCNF_MIDPNT1) )],[refute_0_428,refute_0_417]) ).
cnf(refute_0_430,plain,
coll(X_6877,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1),
inference(subst,[],[refute_0_429:[bind(X_6766,$fot(X_6877))]]) ).
cnf(refute_0_431,plain,
( ~ coll(X_6877,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_MIDPNT1,X_6877) ),
inference(resolve,[$cnf( coll(X_6877,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) )],[refute_0_430,refute_0_416]) ).
cnf(refute_0_432,plain,
coll(X_6877,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_265:[bind(C,$fot(X_6877)),bind(X_6870,$fot(C)),bind(X_6871,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_433,plain,
coll(C,skolemFOFtoCNF_MIDPNT1,X_6877),
inference(resolve,[$cnf( coll(X_6877,skolemFOFtoCNF_A,C) )],[refute_0_432,refute_0_431]) ).
cnf(refute_0_434,plain,
coll(X_6955,skolemFOFtoCNF_MIDPNT1,X_6956),
inference(subst,[],[refute_0_433:[bind(C,$fot(X_6955)),bind(X_6877,$fot(X_6956))]]) ).
cnf(refute_0_435,plain,
( ~ coll(X_6955,skolemFOFtoCNF_MIDPNT1,C)
| coll(C,X_6956,X_6955) ),
inference(resolve,[$cnf( coll(X_6955,skolemFOFtoCNF_MIDPNT1,X_6956) )],[refute_0_434,refute_0_415]) ).
cnf(refute_0_436,plain,
( ~ coll(X_6953,skolemFOFtoCNF_MIDPNT8,C)
| ~ coll(X_6953,skolemFOFtoCNF_MIDPNT8,X_6954)
| coll(C,X_6954,X_6953) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6953)),bind(B,$fot(skolemFOFtoCNF_MIDPNT8)),bind(D,$fot(X_6954))]]) ).
cnf(refute_0_437,plain,
( ~ coll(X_6863,skolemFOFtoCNF_A,C)
| ~ coll(X_6863,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT8)
| coll(C,skolemFOFtoCNF_MIDPNT8,X_6863) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6863)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_438,plain,
( ~ coll(skolemFOFtoCNF_A,X_6836,skolemFOFtoCNF_MIDPNT8)
| coll(X_6836,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT8) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_6836)),bind(C,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_439,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT8)
| coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_MIDPNT8)),bind(D,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_440,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT8) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_441,plain,
midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_82]) ).
cnf(refute_0_442,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_443,plain,
midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_445,plain,
coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_445,refute_0_440]) ).
cnf(refute_0_447,plain,
coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT8) )],[refute_0_446,refute_0_439]) ).
cnf(refute_0_448,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8,X_6711)
| ~ coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_6711,skolemFOFtoCNF_MIDPNT8) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(skolemFOFtoCNF_MIDPNT8)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_6711))]]) ).
cnf(refute_0_449,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8,X_6711)
| coll(skolemFOFtoCNF_A,X_6711,skolemFOFtoCNF_MIDPNT8) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_A) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8,X_6711),
inference(subst,[],[refute_0_57:[bind(X_973,$fot(X_6711)),bind(X_974,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_451,plain,
coll(skolemFOFtoCNF_A,X_6711,skolemFOFtoCNF_MIDPNT8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8,X_6711) )],[refute_0_450,refute_0_449]) ).
cnf(refute_0_452,plain,
coll(skolemFOFtoCNF_A,X_6836,skolemFOFtoCNF_MIDPNT8),
inference(subst,[],[refute_0_451:[bind(X_6711,$fot(X_6836))]]) ).
cnf(refute_0_453,plain,
coll(X_6836,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_6836,skolemFOFtoCNF_MIDPNT8) )],[refute_0_452,refute_0_438]) ).
cnf(refute_0_454,plain,
coll(X_6863,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT8),
inference(subst,[],[refute_0_453:[bind(X_6836,$fot(X_6863))]]) ).
cnf(refute_0_455,plain,
( ~ coll(X_6863,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_MIDPNT8,X_6863) ),
inference(resolve,[$cnf( coll(X_6863,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT8) )],[refute_0_454,refute_0_437]) ).
cnf(refute_0_456,plain,
coll(X_6863,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_261:[bind(C,$fot(X_6863)),bind(X_6854,$fot(C)),bind(X_6855,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_457,plain,
coll(C,skolemFOFtoCNF_MIDPNT8,X_6863),
inference(resolve,[$cnf( coll(X_6863,skolemFOFtoCNF_A,C) )],[refute_0_456,refute_0_455]) ).
cnf(refute_0_458,plain,
coll(X_6953,skolemFOFtoCNF_MIDPNT8,X_6954),
inference(subst,[],[refute_0_457:[bind(C,$fot(X_6953)),bind(X_6863,$fot(X_6954))]]) ).
cnf(refute_0_459,plain,
( ~ coll(X_6953,skolemFOFtoCNF_MIDPNT8,C)
| coll(C,X_6954,X_6953) ),
inference(resolve,[$cnf( coll(X_6953,skolemFOFtoCNF_MIDPNT8,X_6954) )],[refute_0_458,refute_0_436]) ).
cnf(refute_0_460,plain,
( ~ coll(X_6949,skolemFOFtoCNF_MIDPNT9,C)
| ~ coll(X_6949,skolemFOFtoCNF_MIDPNT9,X_6950)
| coll(C,X_6950,X_6949) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(X_6949)),bind(B,$fot(skolemFOFtoCNF_MIDPNT9)),bind(D,$fot(X_6950))]]) ).
cnf(refute_0_461,plain,
( ~ coll(X_6819,X_6820,skolemFOFtoCNF_MIDPNT9)
| coll(X_6819,skolemFOFtoCNF_MIDPNT9,X_6820) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_6819)),bind(B,$fot(X_6820)),bind(C,$fot(skolemFOFtoCNF_MIDPNT9))]]) ).
cnf(refute_0_462,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_C_1,C)
| ~ coll(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_C_1,X_6818)
| coll(C,X_6818,skolemFOFtoCNF_MIDPNT9) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT9)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_6818))]]) ).
cnf(refute_0_463,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT9,X_6817,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_C_1,X_6817) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_MIDPNT9)),bind(B,$fot(X_6817)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_464,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT9) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_MIDPNT9)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_465,plain,
midp(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_83]) ).
cnf(refute_0_466,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_100:[bind(A,$fot(skolemFOFtoCNF_MIDPNT9)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_467,plain,
coll(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT9),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) )],[refute_0_467,refute_0_464]) ).
cnf(refute_0_469,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_6711)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT9)
| coll(skolemFOFtoCNF_MIDPNT9,X_6711,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT9)),bind(D,$fot(X_6711))]]) ).
cnf(refute_0_470,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_6711)
| coll(skolemFOFtoCNF_MIDPNT9,X_6711,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT9) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_6711),
inference(subst,[],[refute_0_57:[bind(X_973,$fot(X_6711)),bind(X_974,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_472,plain,
coll(skolemFOFtoCNF_MIDPNT9,X_6711,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_6711) )],[refute_0_471,refute_0_470]) ).
cnf(refute_0_473,plain,
coll(skolemFOFtoCNF_MIDPNT9,X_6817,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_472:[bind(X_6711,$fot(X_6817))]]) ).
cnf(refute_0_474,plain,
coll(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_C_1,X_6817),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT9,X_6817,skolemFOFtoCNF_C_1) )],[refute_0_473,refute_0_463]) ).
cnf(refute_0_475,plain,
coll(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_C_1,X_6818),
inference(subst,[],[refute_0_474:[bind(X_6817,$fot(X_6818))]]) ).
cnf(refute_0_476,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_C_1,C)
| coll(C,X_6818,skolemFOFtoCNF_MIDPNT9) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_C_1,X_6818) )],[refute_0_475,refute_0_462]) ).
cnf(refute_0_477,plain,
coll(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_114:[bind(X_6709,$fot(C)),bind(X_6710,$fot(skolemFOFtoCNF_MIDPNT9)),bind(X_6711,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_478,plain,
coll(C,X_6818,skolemFOFtoCNF_MIDPNT9),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_C_1,C) )],[refute_0_477,refute_0_476]) ).
cnf(refute_0_479,plain,
coll(X_6819,X_6820,skolemFOFtoCNF_MIDPNT9),
inference(subst,[],[refute_0_478:[bind(C,$fot(X_6819)),bind(X_6818,$fot(X_6820))]]) ).
cnf(refute_0_480,plain,
coll(X_6819,skolemFOFtoCNF_MIDPNT9,X_6820),
inference(resolve,[$cnf( coll(X_6819,X_6820,skolemFOFtoCNF_MIDPNT9) )],[refute_0_479,refute_0_461]) ).
cnf(refute_0_481,plain,
coll(X_6949,skolemFOFtoCNF_MIDPNT9,X_6950),
inference(subst,[],[refute_0_480:[bind(X_6819,$fot(X_6949)),bind(X_6820,$fot(X_6950))]]) ).
cnf(refute_0_482,plain,
( ~ coll(X_6949,skolemFOFtoCNF_MIDPNT9,C)
| coll(C,X_6950,X_6949) ),
inference(resolve,[$cnf( coll(X_6949,skolemFOFtoCNF_MIDPNT9,X_6950) )],[refute_0_481,refute_0_460]) ).
cnf(refute_0_483,plain,
coll(X_6949,skolemFOFtoCNF_MIDPNT9,C),
inference(subst,[],[refute_0_389:[bind(C,$fot(X_6949)),bind(X_6924,$fot(C)),bind(X_6925,$fot(skolemFOFtoCNF_MIDPNT9))]]) ).
cnf(refute_0_484,plain,
coll(C,X_6950,X_6949),
inference(resolve,[$cnf( coll(X_6949,skolemFOFtoCNF_MIDPNT9,C) )],[refute_0_483,refute_0_482]) ).
cnf(refute_0_485,plain,
coll(X_6953,skolemFOFtoCNF_MIDPNT8,C),
inference(subst,[],[refute_0_484:[bind(C,$fot(X_6953)),bind(X_6949,$fot(C)),bind(X_6950,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_486,plain,
coll(C,X_6954,X_6953),
inference(resolve,[$cnf( coll(X_6953,skolemFOFtoCNF_MIDPNT8,C) )],[refute_0_485,refute_0_459]) ).
cnf(refute_0_487,plain,
coll(X_6955,skolemFOFtoCNF_MIDPNT1,C),
inference(subst,[],[refute_0_486:[bind(C,$fot(X_6955)),bind(X_6953,$fot(C)),bind(X_6954,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_488,plain,
coll(C,X_6956,X_6955),
inference(resolve,[$cnf( coll(X_6955,skolemFOFtoCNF_MIDPNT1,C) )],[refute_0_487,refute_0_435]) ).
cnf(refute_0_489,plain,
coll(X_6961,skolemFOFtoCNF_MIDPNT4,C),
inference(subst,[],[refute_0_488:[bind(C,$fot(X_6961)),bind(X_6955,$fot(C)),bind(X_6956,$fot(skolemFOFtoCNF_MIDPNT4))]]) ).
cnf(refute_0_490,plain,
coll(C,X_6962,X_6961),
inference(resolve,[$cnf( coll(X_6961,skolemFOFtoCNF_MIDPNT4,C) )],[refute_0_489,refute_0_414]) ).
cnf(refute_0_491,plain,
coll(X_6975,skolemFOFtoCNF_MIDPNT3,C),
inference(subst,[],[refute_0_490:[bind(C,$fot(X_6975)),bind(X_6961,$fot(C)),bind(X_6962,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_492,plain,
coll(C,X_6976,X_6975),
inference(resolve,[$cnf( coll(X_6975,skolemFOFtoCNF_MIDPNT3,C) )],[refute_0_491,refute_0_395]) ).
cnf(refute_0_493,plain,
coll(X_6981,skolemFOFtoCNF_MIDPNT7,C),
inference(subst,[],[refute_0_492:[bind(C,$fot(X_6981)),bind(X_6975,$fot(C)),bind(X_6976,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_494,plain,
coll(C,X_6982,X_6981),
inference(resolve,[$cnf( coll(X_6981,skolemFOFtoCNF_MIDPNT7,C) )],[refute_0_493,refute_0_269]) ).
cnf(refute_0_495,plain,
coll(X_6985,skolemFOFtoCNF_MIDPNT11,C),
inference(subst,[],[refute_0_494:[bind(C,$fot(X_6985)),bind(X_6981,$fot(C)),bind(X_6982,$fot(skolemFOFtoCNF_MIDPNT11))]]) ).
cnf(refute_0_496,plain,
coll(C,X_6986,X_6985),
inference(resolve,[$cnf( coll(X_6985,skolemFOFtoCNF_MIDPNT11,C) )],[refute_0_495,refute_0_122]) ).
cnf(refute_0_497,plain,
coll(O,A,C),
inference(subst,[],[refute_0_496:[bind(C,$fot(O)),bind(X_6985,$fot(C)),bind(X_6986,$fot(A))]]) ).
cnf(refute_0_498,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_497,refute_0_91]) ).
cnf(refute_0_499,plain,
( ~ circle(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_498:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT21))]]) ).
cnf(refute_0_500,plain,
perp(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_90,refute_0_499]) ).
cnf(refute_0_501,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_500,refute_0_80]) ).
cnf(refute_0_502,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) )],[refute_0_501,refute_0_78]) ).
cnf(refute_0_503,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) )],[refute_0_502,refute_0_76]) ).
cnf(refute_0_504,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21))
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21)) )],[refute_0_503,refute_0_67]) ).
cnf(refute_0_505,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21)),
inference(subst,[],[refute_0_496:[bind(C,$fot(skolemFOFtoCNF_C_1)),bind(X_6985,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21))),bind(X_6986,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21)))]]) ).
cnf(refute_0_506,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21)) )],[refute_0_505,refute_0_504]) ).
cnf(refute_0_507,plain,
midp(skolemFOFtoCNF_C_1,X_9760,X_9760),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_MIDPNT21)) )],[refute_0_506,refute_0_65]) ).
cnf(refute_0_508,plain,
midp(skolemFOFtoCNF_C_1,X_13219,X_13219),
inference(subst,[],[refute_0_507:[bind(X_9760,$fot(X_13219))]]) ).
cnf(refute_0_509,plain,
midp(skolemFOFtoCNF_P_1(X_13219,Q),X_13219,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,X_13219,X_13219) )],[refute_0_508,refute_0_60]) ).
cnf(refute_0_510,plain,
midp(skolemFOFtoCNF_P_1(X_13298,X_13297),X_13298,X_13297),
inference(subst,[],[refute_0_509:[bind(Q,$fot(X_13297)),bind(X_13219,$fot(X_13298))]]) ).
cnf(refute_0_511,plain,
cong(skolemFOFtoCNF_P_1(X_13298,X_13297),X_13298,skolemFOFtoCNF_P_1(X_13298,X_13297),X_13297),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_13298,X_13297),X_13298,X_13297) )],[refute_0_510,refute_0_17]) ).
cnf(refute_0_512,plain,
cong(skolemFOFtoCNF_P_1(X_15585,X_15584),X_15585,skolemFOFtoCNF_P_1(X_15585,X_15584),X_15584),
inference(subst,[],[refute_0_511:[bind(X_13297,$fot(X_15584)),bind(X_13298,$fot(X_15585))]]) ).
cnf(refute_0_513,plain,
cyclic(X_15585,X_15584,X_15584,X_15584),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_15585,X_15584),X_15585,skolemFOFtoCNF_P_1(X_15585,X_15584),X_15584) )],[refute_0_512,refute_0_15]) ).
cnf(refute_0_514,plain,
cyclic(X_15587,X_15586,X_15586,X_15586),
inference(subst,[],[refute_0_513:[bind(X_15584,$fot(X_15586)),bind(X_15585,$fot(X_15587))]]) ).
cnf(refute_0_515,plain,
cyclic(X_15586,X_15587,X_15586,X_15586),
inference(resolve,[$cnf( cyclic(X_15587,X_15586,X_15586,X_15586) )],[refute_0_514,refute_0_13]) ).
cnf(refute_0_516,plain,
cyclic(X_15588,X_15589,X_15588,X_15588),
inference(subst,[],[refute_0_515:[bind(X_15586,$fot(X_15588)),bind(X_15587,$fot(X_15589))]]) ).
cnf(refute_0_517,plain,
cyclic(X_15588,X_15588,X_15589,X_15588),
inference(resolve,[$cnf( cyclic(X_15588,X_15589,X_15588,X_15588) )],[refute_0_516,refute_0_11]) ).
cnf(refute_0_518,plain,
cyclic(X_15590,X_15590,X_15591,X_15590),
inference(subst,[],[refute_0_517:[bind(X_15588,$fot(X_15590)),bind(X_15589,$fot(X_15591))]]) ).
cnf(refute_0_519,plain,
cyclic(X_15590,X_15590,X_15590,X_15591),
inference(resolve,[$cnf( cyclic(X_15590,X_15590,X_15591,X_15590) )],[refute_0_518,refute_0_9]) ).
cnf(refute_0_520,plain,
cyclic(X_15592,X_15592,X_15592,X_15593),
inference(subst,[],[refute_0_519:[bind(X_15590,$fot(X_15592)),bind(X_15591,$fot(X_15593))]]) ).
cnf(refute_0_521,plain,
cyclic(X_15592,X_15592,X_15593,X_15593),
inference(resolve,[$cnf( cyclic(X_15592,X_15592,X_15592,X_15593) )],[refute_0_520,refute_0_7]) ).
cnf(refute_0_522,plain,
cyclic(X_15594,X_15594,X_15595,X_15595),
inference(subst,[],[refute_0_521:[bind(X_15592,$fot(X_15594)),bind(X_15593,$fot(X_15595))]]) ).
cnf(refute_0_523,plain,
( ~ cong(X_15594,X_15595,X_15594,X_15595)
| perp(X_15595,X_15594,X_15594,X_15595) ),
inference(resolve,[$cnf( cyclic(X_15594,X_15594,X_15595,X_15595) )],[refute_0_522,refute_0_5]) ).
cnf(refute_0_524,plain,
( ~ midp(X_13277,X_13278,X_13278)
| cong(X_13277,X_13278,X_13277,X_13278) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_13277)),bind(B,$fot(X_13278)),bind(C,$fot(X_13278))]]) ).
cnf(refute_0_525,plain,
( ~ midp(X_13246,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_13246,X_9760,X_9760) ),
inference(subst,[],[refute_0_64:[bind(X_9759,$fot(skolemFOFtoCNF_B_1)),bind(X_9761,$fot(X_13246))]]) ).
cnf(refute_0_526,plain,
( ~ coll(X_13245,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(X_13245,skolemFOFtoCNF_B_1,X_13245,skolemFOFtoCNF_B_1)
| midp(X_13245,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(X_13245)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_527,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_85]) ).
cnf(refute_0_528,plain,
( ~ cong(X_13243,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_13243)
| cong(X_13243,skolemFOFtoCNF_B_1,X_13243,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_527:[bind(A,$fot(X_13243)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_13243))]]) ).
cnf(refute_0_529,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_13232,X_13232,skolemFOFtoCNF_B_1)
| cong(X_13232,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_13232) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_13232)),bind(C,$fot(X_13232)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_530,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_13227,skolemFOFtoCNF_B_1,X_13227)
| cong(skolemFOFtoCNF_B_1,X_13227,X_13227,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_527:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_13227)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_13227))]]) ).
cnf(refute_0_531,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_13221,X_13221)
| cong(skolemFOFtoCNF_B_1,X_13221,skolemFOFtoCNF_B_1,X_13221) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_13221)),bind(C,$fot(X_13221))]]) ).
cnf(refute_0_532,plain,
( ~ midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6))
| midp(skolemFOFtoCNF_B_1,X_9760,X_9760) ),
inference(subst,[],[refute_0_64:[bind(X_9759,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6))),bind(X_9761,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_533,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6))
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6))
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6)) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6))),bind(C,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6)))]]) ).
cnf(refute_0_534,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_H,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_H)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6)))]]) ).
cnf(refute_0_535,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
| midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_536,plain,
midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_349,refute_0_535]) ).
cnf(refute_0_537,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_MIDPNT6)),bind(N,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_538,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_H,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) )],[refute_0_538,refute_0_534]) ).
cnf(refute_0_540,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
| ~ perp(skolemFOFtoCNF_B_1,X_9501,X_9501,skolemFOFtoCNF_H)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),X_9501,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_9501)),bind(C,$fot(skolemFOFtoCNF_H)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6)))]]) ).
cnf(refute_0_541,plain,
( ~ perp(skolemFOFtoCNF_B_1,X_9501,X_9501,skolemFOFtoCNF_H)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),X_9501,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6)) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6)) ),
inference(subst,[],[refute_0_541:[bind(X_9501,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_543,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_544,plain,
( ~ perp(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_545,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_B_1)
| circle(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT01))]]) ).
cnf(refute_0_546,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
| midp(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_MIDPNT01))]]) ).
cnf(refute_0_547,plain,
midp(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_326,refute_0_546]) ).
cnf(refute_0_548,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_MIDPNT01)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_549,plain,
cong(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
circle(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_B_1) )],[refute_0_549,refute_0_545]) ).
cnf(refute_0_551,plain,
( ~ circle(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_498:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT01))]]) ).
cnf(refute_0_552,plain,
perp(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_552,refute_0_544]) ).
cnf(refute_0_554,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) )],[refute_0_553,refute_0_543]) ).
cnf(refute_0_555,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_554,refute_0_542]) ).
cnf(refute_0_556,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6))
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6)) )],[refute_0_555,refute_0_533]) ).
cnf(refute_0_557,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6)),
inference(subst,[],[refute_0_496:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_6985,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6))),bind(X_6986,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6)))]]) ).
cnf(refute_0_558,plain,
midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6)) )],[refute_0_557,refute_0_556]) ).
cnf(refute_0_559,plain,
midp(skolemFOFtoCNF_B_1,X_9760,X_9760),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6),skolemFOFtoCNF_P(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6)) )],[refute_0_558,refute_0_532]) ).
cnf(refute_0_560,plain,
midp(skolemFOFtoCNF_B_1,X_13221,X_13221),
inference(subst,[],[refute_0_559:[bind(X_9760,$fot(X_13221))]]) ).
cnf(refute_0_561,plain,
cong(skolemFOFtoCNF_B_1,X_13221,skolemFOFtoCNF_B_1,X_13221),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_13221,X_13221) )],[refute_0_560,refute_0_531]) ).
cnf(refute_0_562,plain,
cong(skolemFOFtoCNF_B_1,X_13227,skolemFOFtoCNF_B_1,X_13227),
inference(subst,[],[refute_0_561:[bind(X_13221,$fot(X_13227))]]) ).
cnf(refute_0_563,plain,
cong(skolemFOFtoCNF_B_1,X_13227,X_13227,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_13227,skolemFOFtoCNF_B_1,X_13227) )],[refute_0_562,refute_0_530]) ).
cnf(refute_0_564,plain,
cong(skolemFOFtoCNF_B_1,X_13232,X_13232,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_563:[bind(X_13227,$fot(X_13232))]]) ).
cnf(refute_0_565,plain,
cong(X_13232,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_13232),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_13232,X_13232,skolemFOFtoCNF_B_1) )],[refute_0_564,refute_0_529]) ).
cnf(refute_0_566,plain,
cong(X_13243,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_13243),
inference(subst,[],[refute_0_565:[bind(X_13232,$fot(X_13243))]]) ).
cnf(refute_0_567,plain,
cong(X_13243,skolemFOFtoCNF_B_1,X_13243,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(X_13243,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_13243) )],[refute_0_566,refute_0_528]) ).
cnf(refute_0_568,plain,
cong(X_13245,skolemFOFtoCNF_B_1,X_13245,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_567:[bind(X_13243,$fot(X_13245))]]) ).
cnf(refute_0_569,plain,
( ~ coll(X_13245,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_13245,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(X_13245,skolemFOFtoCNF_B_1,X_13245,skolemFOFtoCNF_B_1) )],[refute_0_568,refute_0_526]) ).
cnf(refute_0_570,plain,
coll(X_13245,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_496:[bind(C,$fot(X_13245)),bind(X_6985,$fot(skolemFOFtoCNF_B_1)),bind(X_6986,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_571,plain,
midp(X_13245,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(X_13245,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_570,refute_0_569]) ).
cnf(refute_0_572,plain,
midp(X_13246,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_571:[bind(X_13245,$fot(X_13246))]]) ).
cnf(refute_0_573,plain,
midp(X_13246,X_9760,X_9760),
inference(resolve,[$cnf( midp(X_13246,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_572,refute_0_525]) ).
cnf(refute_0_574,plain,
midp(X_13277,X_13278,X_13278),
inference(subst,[],[refute_0_573:[bind(X_13246,$fot(X_13277)),bind(X_9760,$fot(X_13278))]]) ).
cnf(refute_0_575,plain,
cong(X_13277,X_13278,X_13277,X_13278),
inference(resolve,[$cnf( midp(X_13277,X_13278,X_13278) )],[refute_0_574,refute_0_524]) ).
cnf(refute_0_576,plain,
cong(X_15594,X_15595,X_15594,X_15595),
inference(subst,[],[refute_0_575:[bind(X_13277,$fot(X_15594)),bind(X_13278,$fot(X_15595))]]) ).
cnf(refute_0_577,plain,
perp(X_15595,X_15594,X_15594,X_15595),
inference(resolve,[$cnf( cong(X_15594,X_15595,X_15594,X_15595) )],[refute_0_576,refute_0_523]) ).
cnf(refute_0_578,plain,
perp(X_15597,X_15596,X_15596,X_15597),
inference(subst,[],[refute_0_577:[bind(X_15594,$fot(X_15596)),bind(X_15595,$fot(X_15597))]]) ).
cnf(refute_0_579,plain,
( ~ midp(M,X_15597,X_15597)
| cong(X_15597,M,X_15596,M) ),
inference(resolve,[$cnf( perp(X_15597,X_15596,X_15596,X_15597) )],[refute_0_578,refute_0_3]) ).
cnf(refute_0_580,plain,
( ~ midp(X_13256,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(X_13256,X_9760,X_9760) ),
inference(subst,[],[refute_0_64:[bind(X_9759,$fot(skolemFOFtoCNF_C_1)),bind(X_9761,$fot(X_13256))]]) ).
cnf(refute_0_581,plain,
( ~ coll(X_13253,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| ~ cong(X_13253,skolemFOFtoCNF_C_1,X_13253,skolemFOFtoCNF_C_1)
| midp(X_13253,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(X_13253)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_582,plain,
( ~ cong(X_13252,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_13252)
| cong(X_13252,skolemFOFtoCNF_C_1,X_13252,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_527:[bind(A,$fot(X_13252)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_13252))]]) ).
cnf(refute_0_583,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_13240,X_13240,skolemFOFtoCNF_C_1)
| cong(X_13240,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_13240) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_13240)),bind(C,$fot(X_13240)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_584,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_13223,skolemFOFtoCNF_C_1,X_13223)
| cong(skolemFOFtoCNF_C_1,X_13223,X_13223,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_527:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_13223)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_13223))]]) ).
cnf(refute_0_585,plain,
( ~ midp(skolemFOFtoCNF_C_1,X_13219,X_13219)
| cong(skolemFOFtoCNF_C_1,X_13219,skolemFOFtoCNF_C_1,X_13219) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_13219)),bind(C,$fot(X_13219))]]) ).
cnf(refute_0_586,plain,
cong(skolemFOFtoCNF_C_1,X_13219,skolemFOFtoCNF_C_1,X_13219),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,X_13219,X_13219) )],[refute_0_508,refute_0_585]) ).
cnf(refute_0_587,plain,
cong(skolemFOFtoCNF_C_1,X_13223,skolemFOFtoCNF_C_1,X_13223),
inference(subst,[],[refute_0_586:[bind(X_13219,$fot(X_13223))]]) ).
cnf(refute_0_588,plain,
cong(skolemFOFtoCNF_C_1,X_13223,X_13223,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_13223,skolemFOFtoCNF_C_1,X_13223) )],[refute_0_587,refute_0_584]) ).
cnf(refute_0_589,plain,
cong(skolemFOFtoCNF_C_1,X_13240,X_13240,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_588:[bind(X_13223,$fot(X_13240))]]) ).
cnf(refute_0_590,plain,
cong(X_13240,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_13240),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_13240,X_13240,skolemFOFtoCNF_C_1) )],[refute_0_589,refute_0_583]) ).
cnf(refute_0_591,plain,
cong(X_13252,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_13252),
inference(subst,[],[refute_0_590:[bind(X_13240,$fot(X_13252))]]) ).
cnf(refute_0_592,plain,
cong(X_13252,skolemFOFtoCNF_C_1,X_13252,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(X_13252,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_13252) )],[refute_0_591,refute_0_582]) ).
cnf(refute_0_593,plain,
cong(X_13253,skolemFOFtoCNF_C_1,X_13253,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_592:[bind(X_13252,$fot(X_13253))]]) ).
cnf(refute_0_594,plain,
( ~ coll(X_13253,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(X_13253,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( cong(X_13253,skolemFOFtoCNF_C_1,X_13253,skolemFOFtoCNF_C_1) )],[refute_0_593,refute_0_581]) ).
cnf(refute_0_595,plain,
coll(X_13253,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_496:[bind(C,$fot(X_13253)),bind(X_6985,$fot(skolemFOFtoCNF_C_1)),bind(X_6986,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_596,plain,
midp(X_13253,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(X_13253,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_595,refute_0_594]) ).
cnf(refute_0_597,plain,
midp(X_13256,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_596:[bind(X_13253,$fot(X_13256))]]) ).
cnf(refute_0_598,plain,
midp(X_13256,X_9760,X_9760),
inference(resolve,[$cnf( midp(X_13256,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_597,refute_0_580]) ).
cnf(refute_0_599,plain,
midp(M,X_15597,X_15597),
inference(subst,[],[refute_0_598:[bind(X_13256,$fot(M)),bind(X_9760,$fot(X_15597))]]) ).
cnf(refute_0_600,plain,
cong(X_15597,M,X_15596,M),
inference(resolve,[$cnf( midp(M,X_15597,X_15597) )],[refute_0_599,refute_0_579]) ).
cnf(refute_0_601,plain,
cong(A,P,B,P),
inference(subst,[],[refute_0_600:[bind(M,$fot(P)),bind(X_15596,$fot(B)),bind(X_15597,$fot(A))]]) ).
cnf(refute_0_602,plain,
( ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(resolve,[$cnf( cong(A,P,B,P) )],[refute_0_601,refute_0_1]) ).
cnf(refute_0_603,plain,
cong(A,Q,B,Q),
inference(subst,[],[refute_0_600:[bind(M,$fot(Q)),bind(X_15596,$fot(B)),bind(X_15597,$fot(A))]]) ).
cnf(refute_0_604,plain,
perp(A,B,P,Q),
inference(resolve,[$cnf( cong(A,Q,B,Q) )],[refute_0_603,refute_0_602]) ).
cnf(refute_0_605,plain,
perp(skolemFOFtoCNF_A1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B1,skolemFOFtoCNF_C1),
inference(subst,[],[refute_0_604:[bind(A,$fot(skolemFOFtoCNF_A1)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(P,$fot(skolemFOFtoCNF_B1)),bind(Q,$fot(skolemFOFtoCNF_C1))]]) ).
cnf(refute_0_606,plain,
$false,
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B1,skolemFOFtoCNF_C1) )],[refute_0_605,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO545+1 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.10 % Command : metis --show proof --show saturation %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Sat Jun 18 03:46:31 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.09/0.29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 210.46/210.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 210.46/210.72
% 210.46/210.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 210.46/210.78
%------------------------------------------------------------------------------