TSTP Solution File: GEO565+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO565+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.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 05:27:23 EDT 2022
% Result : Theorem 198.70s 198.87s
% Output : CNFRefutation 198.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 107
% Number of leaves : 30
% Syntax : Number of formulae : 695 ( 329 unt; 0 def)
% Number of atoms : 1339 ( 0 equ)
% Maximal formula atoms : 28 ( 1 avg)
% Number of connectives : 1101 ( 457 ~; 452 |; 160 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 24 ( 24 usr; 20 con; 0-3 aty)
% Number of variables : 1286 ( 318 sgn 464 !; 32 ?)
% 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(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(ruleX10,axiom,
! [A,B,C,H] :
? [P,Q] :
( ( perp(A,H,B,C)
& perp(B,H,A,C) )
=> ( coll(P,C,B)
& perp(A,P,C,B)
& coll(Q,C,A)
& perp(B,Q,C,A) ) ) ).
fof(ruleX11,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ) ).
fof(exemplo6GDDFULL214027,conjecture,
! [A,B,C,H,O,OC,OA,OB,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,H)
& perp(A,H,MIDPNT4,OC)
& midp(MIDPNT5,A,B)
& perp(A,B,MIDPNT5,OC)
& midp(MIDPNT6,H,B)
& perp(H,B,MIDPNT6,OC)
& midp(MIDPNT7,B,H)
& perp(B,H,MIDPNT7,OA)
& midp(MIDPNT8,B,C)
& perp(B,C,MIDPNT8,OA)
& midp(MIDPNT9,H,C)
& perp(H,C,MIDPNT9,OA)
& midp(MIDPNT01,C,H)
& perp(C,H,MIDPNT01,OB)
& midp(MIDPNT11,C,A)
& perp(C,A,MIDPNT11,OB)
& midp(MIDPNT21,H,A)
& perp(H,A,MIDPNT21,OB) )
=> cong(H,OA,H,OB) ) ).
fof(subgoal_0,plain,
! [A,B,C,H,O,OC,OA,OB,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,H)
& perp(A,H,MIDPNT4,OC)
& midp(MIDPNT5,A,B)
& perp(A,B,MIDPNT5,OC)
& midp(MIDPNT6,H,B)
& perp(H,B,MIDPNT6,OC)
& midp(MIDPNT7,B,H)
& perp(B,H,MIDPNT7,OA)
& midp(MIDPNT8,B,C)
& perp(B,C,MIDPNT8,OA)
& midp(MIDPNT9,H,C)
& perp(H,C,MIDPNT9,OA)
& midp(MIDPNT01,C,H)
& perp(C,H,MIDPNT01,OB)
& midp(MIDPNT11,C,A)
& perp(C,A,MIDPNT11,OB)
& midp(MIDPNT21,H,A)
& perp(H,A,MIDPNT21,OB) )
=> cong(H,OA,H,OB) ),
inference(strip,[],[exemplo6GDDFULL214027]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,H,O,OC,OA,OB,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,H)
& perp(A,H,MIDPNT4,OC)
& midp(MIDPNT5,A,B)
& perp(A,B,MIDPNT5,OC)
& midp(MIDPNT6,H,B)
& perp(H,B,MIDPNT6,OC)
& midp(MIDPNT7,B,H)
& perp(B,H,MIDPNT7,OA)
& midp(MIDPNT8,B,C)
& perp(B,C,MIDPNT8,OA)
& midp(MIDPNT9,H,C)
& perp(H,C,MIDPNT9,OA)
& midp(MIDPNT01,C,H)
& perp(C,H,MIDPNT01,OB)
& midp(MIDPNT11,C,A)
& perp(C,A,MIDPNT11,OB)
& midp(MIDPNT21,H,A)
& perp(H,A,MIDPNT21,OB) )
=> cong(H,OA,H,OB) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,H,MIDPNT01,MIDPNT1,MIDPNT11,MIDPNT2,MIDPNT21,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,O,OA,OB,OC] :
( ~ cong(H,OA,H,OB)
& midp(MIDPNT01,C,H)
& midp(MIDPNT1,A,B)
& midp(MIDPNT11,C,A)
& midp(MIDPNT2,A,C)
& midp(MIDPNT21,H,A)
& midp(MIDPNT3,B,C)
& midp(MIDPNT4,A,H)
& midp(MIDPNT5,A,B)
& midp(MIDPNT6,H,B)
& midp(MIDPNT7,B,H)
& midp(MIDPNT8,B,C)
& midp(MIDPNT9,H,C)
& perp(A,B,C,H)
& perp(A,B,MIDPNT1,O)
& perp(A,B,MIDPNT5,OC)
& perp(A,C,B,H)
& perp(A,C,MIDPNT2,O)
& perp(A,H,MIDPNT4,OC)
& perp(B,C,A,H)
& perp(B,C,MIDPNT3,O)
& perp(B,C,MIDPNT8,OA)
& perp(B,H,MIDPNT7,OA)
& perp(C,A,MIDPNT11,OB)
& perp(C,H,MIDPNT01,OB)
& perp(H,A,MIDPNT21,OB)
& perp(H,B,MIDPNT6,OC)
& perp(H,C,MIDPNT9,OA) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ cong(skolemFOFtoCNF_H,skolemFOFtoCNF_OA,skolemFOFtoCNF_H,skolemFOFtoCNF_OB)
& midp(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H)
& midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
& midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_A)
& midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_H)
& midp(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
& midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,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_MIDPNT5,skolemFOFtoCNF_OC)
& 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_H,skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_OC)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_H)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_O_2)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_OA)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_OA)
& perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_OB)
& perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_OB)
& perp(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_OB)
& perp(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_OC)
& perp(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT9,skolemFOFtoCNF_OA) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ cong(skolemFOFtoCNF_H,skolemFOFtoCNF_OA,skolemFOFtoCNF_H,skolemFOFtoCNF_OB),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_4,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_6,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[ruleD52]) ).
fof(normalize_0_8,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[ruleD57]) ).
fof(normalize_0_10,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[ruleD17]) ).
fof(normalize_0_12,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_14,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_16,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_18,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A,B,C,D,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[ruleD13]) ).
fof(normalize_0_20,plain,
! [A,B,C,D,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_22,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(canonicalize,[],[ruleX7]) ).
fof(normalize_0_24,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [A,B,C,D,M,N,Q] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(clausify,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_27,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_29,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_31,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD39]) ).
fof(normalize_0_33,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A,B,C,D,P,Q] :
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(clausify,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[ruleD41]) ).
fof(normalize_0_36,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
midp(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_38,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD40]) ).
fof(normalize_0_39,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
! [A,B,C,D,P,Q] :
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(clausify,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[ruleD19]) ).
fof(normalize_0_42,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(specialize,[],[normalize_0_41]) ).
fof(normalize_0_43,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[ruleD64]) ).
fof(normalize_0_44,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(specialize,[],[normalize_0_43]) ).
fof(normalize_0_45,plain,
! [A,B,C] :
( ~ 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_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_48,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_49,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_48]) ).
fof(normalize_0_50,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_51,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_50]) ).
fof(normalize_0_52,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_53,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_52]) ).
fof(normalize_0_54,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_55,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_54]) ).
fof(normalize_0_56,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_57,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_56]) ).
fof(normalize_0_58,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_59,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_58]) ).
fof(normalize_0_60,plain,
midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_61,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_62,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_61]) ).
fof(normalize_0_63,plain,
midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_64,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(canonicalize,[],[ruleX11]) ).
fof(normalize_0_65,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(specialize,[],[normalize_0_64]) ).
fof(normalize_0_66,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(clausify,[],[normalize_0_65]) ).
fof(normalize_0_67,plain,
midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_68,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_69,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_68]) ).
fof(normalize_0_70,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_69]) ).
fof(normalize_0_71,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(conjunct,[],[normalize_0_70]) ).
fof(normalize_0_72,plain,
midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_73,plain,
midp(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_74,plain,
midp(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H),
inference(conjunct,[],[normalize_0_1]) ).
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_70]) ).
fof(normalize_0_76,plain,
midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_77,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_78,plain,
midp(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_H),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
~ cong(skolemFOFtoCNF_H,skolemFOFtoCNF_OA,skolemFOFtoCNF_H,skolemFOFtoCNF_OB),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ cong(X_14652,X_14653,X_14654,X_14652)
| cong(X_14652,X_14653,X_14652,X_14654) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_14652)),bind(B,$fot(X_14653)),bind(C,$fot(X_14654)),bind(D,$fot(X_14652))]]) ).
cnf(refute_0_3,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ cong(X_14629,X_14627,X_14627,X_14628)
| cong(X_14627,X_14628,X_14629,X_14627) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_14629)),bind(B,$fot(X_14627)),bind(C,$fot(X_14627)),bind(D,$fot(X_14628))]]) ).
cnf(refute_0_5,plain,
( ~ cong(X_14626,X_14624,X_14625,X_14624)
| cong(X_14626,X_14624,X_14624,X_14625) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_14626)),bind(B,$fot(X_14624)),bind(C,$fot(X_14625)),bind(D,$fot(X_14624))]]) ).
cnf(refute_0_6,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
( ~ midp(M,X_14607,X_14607)
| ~ perp(X_14607,X_14606,X_14606,X_14607)
| cong(X_14607,M,X_14606,M) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_14607)),bind(B,$fot(X_14606)),bind(C,$fot(X_14607))]]) ).
cnf(refute_0_8,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_9,plain,
( ~ cong(X_14604,X_14605,X_14604,X_14605)
| ~ cyclic(X_14604,X_14604,X_14605,X_14605)
| perp(X_14605,X_14604,X_14604,X_14605) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_14604)),bind(B,$fot(X_14604)),bind(P,$fot(X_14605)),bind(Q,$fot(X_14605))]]) ).
cnf(refute_0_10,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_11,plain,
( ~ cyclic(X_14602,X_14602,X_14602,X_14603)
| cyclic(X_14602,X_14602,X_14603,X_14603) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_14602)),bind(B,$fot(X_14602)),bind(C,$fot(X_14602)),bind(D,$fot(X_14603)),bind(E,$fot(X_14603))]]) ).
cnf(refute_0_12,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_13,plain,
( ~ cyclic(X_14600,X_14600,X_14601,X_14600)
| cyclic(X_14600,X_14600,X_14600,X_14601) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_14600)),bind(B,$fot(X_14600)),bind(C,$fot(X_14601)),bind(D,$fot(X_14600))]]) ).
cnf(refute_0_14,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_15,plain,
( ~ cyclic(X_14598,X_14599,X_14598,X_14598)
| cyclic(X_14598,X_14598,X_14599,X_14598) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_14598)),bind(B,$fot(X_14599)),bind(C,$fot(X_14598)),bind(D,$fot(X_14598))]]) ).
cnf(refute_0_16,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_17,plain,
( ~ cyclic(X_14597,X_14596,X_14596,X_14596)
| cyclic(X_14596,X_14597,X_14596,X_14596) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_14597)),bind(B,$fot(X_14596)),bind(C,$fot(X_14596)),bind(D,$fot(X_14596))]]) ).
cnf(refute_0_18,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_19,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_14595,X_14594),X_14595,skolemFOFtoCNF_P_1(X_14595,X_14594),X_14594)
| cyclic(X_14595,X_14594,X_14594,X_14594) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_14595)),bind(B,$fot(X_14594)),bind(C,$fot(X_14594)),bind(D,$fot(X_14594)),bind(O,$fot(skolemFOFtoCNF_P_1(X_14595,X_14594)))]]) ).
cnf(refute_0_20,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_21,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_12967,X_12966),X_12967,X_12966)
| cong(skolemFOFtoCNF_P_1(X_12967,X_12966),X_12967,skolemFOFtoCNF_P_1(X_12967,X_12966),X_12966) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_P_1(X_12967,X_12966))),bind(B,$fot(X_12967)),bind(C,$fot(X_12966))]]) ).
cnf(refute_0_22,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_23,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_24,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_25,plain,
( ~ coll(X_980,X_980,X_979)
| coll(X_980,X_979,X_980) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_980)),bind(B,$fot(X_980)),bind(C,$fot(X_979))]]) ).
cnf(refute_0_26,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_27,plain,
( ~ coll(X_974,X_975,X_975)
| coll(X_975,X_975,X_974) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_974)),bind(B,$fot(X_975)),bind(C,$fot(X_975)),bind(D,$fot(X_975))]]) ).
cnf(refute_0_28,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_29,plain,
( ~ para(X_969,X_970,X_969,X_970)
| coll(X_969,X_970,X_970) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_969)),bind(B,$fot(X_970)),bind(C,$fot(X_970))]]) ).
cnf(refute_0_30,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_31,plain,
( ~ eqangle(X_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_30:[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_32,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_33,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_34,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_35,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_MIDPNT11))]]) ).
cnf(refute_0_36,plain,
midp(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_37,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_MIDPNT11)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_38,plain,
cong(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_A) )],[refute_0_38,refute_0_35]) ).
cnf(refute_0_40,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_39,refute_0_34]) ).
cnf(refute_0_41,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_40,refute_0_33]) ).
cnf(refute_0_42,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_43,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_45,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(X_153)),bind(Q,$fot(X_154))]]) ).
cnf(refute_0_46,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_43,refute_0_45]) ).
cnf(refute_0_47,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_965,X_966,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_965,X_966),
inference(subst,[],[refute_0_46:[bind(X_153,$fot(X_965)),bind(X_154,$fot(X_966))]]) ).
cnf(refute_0_48,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_49,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_965,X_966,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_965,X_966)
| eqangle(X_965,X_966,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_965,X_966,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_48:[bind(A,$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,$fot(X_966))]]) ).
cnf(refute_0_50,plain,
eqangle(X_965,X_966,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_965,X_966,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_965,X_966,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_965,X_966) )],[refute_0_47,refute_0_49]) ).
cnf(refute_0_51,plain,
eqangle(X_967,X_968,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_967,X_968,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_50:[bind(X_965,$fot(X_967)),bind(X_966,$fot(X_968))]]) ).
cnf(refute_0_52,plain,
para(X_967,X_968,X_967,X_968),
inference(resolve,[$cnf( eqangle(X_967,X_968,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_967,X_968,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_51,refute_0_31]) ).
cnf(refute_0_53,plain,
para(X_969,X_970,X_969,X_970),
inference(subst,[],[refute_0_52:[bind(X_967,$fot(X_969)),bind(X_968,$fot(X_970))]]) ).
cnf(refute_0_54,plain,
coll(X_969,X_970,X_970),
inference(resolve,[$cnf( para(X_969,X_970,X_969,X_970) )],[refute_0_53,refute_0_29]) ).
cnf(refute_0_55,plain,
coll(X_974,X_975,X_975),
inference(subst,[],[refute_0_54:[bind(X_969,$fot(X_974)),bind(X_970,$fot(X_975))]]) ).
cnf(refute_0_56,plain,
coll(X_975,X_975,X_974),
inference(resolve,[$cnf( coll(X_974,X_975,X_975) )],[refute_0_55,refute_0_27]) ).
cnf(refute_0_57,plain,
coll(X_980,X_980,X_979),
inference(subst,[],[refute_0_56:[bind(X_974,$fot(X_979)),bind(X_975,$fot(X_980))]]) ).
cnf(refute_0_58,plain,
coll(X_980,X_979,X_980),
inference(resolve,[$cnf( coll(X_980,X_980,X_979) )],[refute_0_57,refute_0_25]) ).
cnf(refute_0_59,plain,
coll(D,D,D),
inference(subst,[],[refute_0_58:[bind(X_979,$fot(D)),bind(X_980,$fot(D))]]) ).
cnf(refute_0_60,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_59,refute_0_23]) ).
cnf(refute_0_61,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_12927,X_12927)
| midp(skolemFOFtoCNF_P_1(X_12927,Q),X_12927,Q) ),
inference(subst,[],[refute_0_60:[bind(D,$fot(X_12927)),bind(N,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_62,plain,
para(X_9515,X_9516,X_9515,X_9516),
inference(subst,[],[refute_0_52:[bind(X_967,$fot(X_9515)),bind(X_968,$fot(X_9516))]]) ).
cnf(refute_0_63,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_64,plain,
( ~ midp(X_9517,X_9515,X_9515)
| ~ para(X_9515,X_9516,X_9515,X_9516)
| midp(X_9517,X_9516,X_9516) ),
inference(subst,[],[refute_0_63:[bind(A,$fot(X_9515)),bind(B,$fot(X_9515)),bind(C,$fot(X_9516)),bind(D,$fot(X_9516)),bind(M,$fot(X_9517))]]) ).
cnf(refute_0_65,plain,
( ~ midp(X_9517,X_9515,X_9515)
| midp(X_9517,X_9516,X_9516) ),
inference(resolve,[$cnf( para(X_9515,X_9516,X_9515,X_9516) )],[refute_0_62,refute_0_64]) ).
cnf(refute_0_66,plain,
( ~ midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3)
| midp(skolemFOFtoCNF_B_1,X_9516,X_9516) ),
inference(subst,[],[refute_0_65:[bind(X_9515,$fot(skolemFOFtoCNF_MIDPNT3)),bind(X_9517,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_67,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_68,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3)
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3) ),
inference(subst,[],[refute_0_67:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT3)),bind(C,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_69,plain,
midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_70,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_71,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_72,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_73,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_74,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_75,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1)
| circle(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_76,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_77,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_78,plain,
midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_69,refute_0_77]) ).
cnf(refute_0_79,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_80,plain,
cong(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
circle(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1) )],[refute_0_80,refute_0_75]) ).
cnf(refute_0_82,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_83,plain,
( ~ circle(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_82:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_84,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_81,refute_0_83]) ).
cnf(refute_0_85,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_86,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_87,plain,
coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_78,refute_0_86]) ).
cnf(refute_0_88,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_87,refute_0_84]) ).
cnf(refute_0_89,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_88,refute_0_73]) ).
cnf(refute_0_90,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_89,refute_0_71]) ).
cnf(refute_0_91,plain,
( ~ midp(X_12923,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,X_12923,skolemFOFtoCNF_B_1,X_12923) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(X_12923))]]) ).
cnf(refute_0_92,plain,
( ~ midp(X_12923,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,X_12923,skolemFOFtoCNF_B_1,X_12923) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3) ),
inference(subst,[],[refute_0_92:[bind(X_12923,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_94,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_69,refute_0_93]) ).
cnf(refute_0_95,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3) )],[refute_0_94,refute_0_68]) ).
cnf(refute_0_96,plain,
( ~ coll(X_7005,skolemFOFtoCNF_MIDPNT2,C)
| ~ coll(X_7005,skolemFOFtoCNF_MIDPNT2,X_7006)
| coll(C,X_7006,X_7005) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_7005)),bind(B,$fot(skolemFOFtoCNF_MIDPNT2)),bind(D,$fot(X_7006))]]) ).
cnf(refute_0_97,plain,
( ~ coll(X_6836,skolemFOFtoCNF_C_1,C)
| ~ coll(X_6836,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2)
| coll(C,skolemFOFtoCNF_MIDPNT2,X_6836) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6836)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_98,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT2,X_6834,C)
| ~ coll(skolemFOFtoCNF_MIDPNT2,X_6834,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(X_6834)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_99,plain,
midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_100,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_MIDPNT2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_101,plain,
coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2) ),
inference(subst,[],[refute_0_26:[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_103,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT2,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_6719)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2)
| coll(skolemFOFtoCNF_MIDPNT2,X_6719,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT2)),bind(D,$fot(X_6719))]]) ).
cnf(refute_0_105,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_6719)
| coll(skolemFOFtoCNF_MIDPNT2,X_6719,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_6719),
inference(subst,[],[refute_0_56:[bind(X_974,$fot(X_6719)),bind(X_975,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_107,plain,
coll(skolemFOFtoCNF_MIDPNT2,X_6719,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_6719) )],[refute_0_106,refute_0_105]) ).
cnf(refute_0_108,plain,
coll(skolemFOFtoCNF_MIDPNT2,X_6834,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_107:[bind(X_6719,$fot(X_6834))]]) ).
cnf(refute_0_109,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT2,X_6834,C)
| coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT2,X_6834,skolemFOFtoCNF_C_1) )],[refute_0_108,refute_0_98]) ).
cnf(refute_0_110,plain,
coll(X_6717,X_6717,X_6718),
inference(subst,[],[refute_0_56:[bind(X_974,$fot(X_6718)),bind(X_975,$fot(X_6717))]]) ).
cnf(refute_0_111,plain,
( ~ coll(X_6717,X_6717,X_6718)
| ~ coll(X_6717,X_6717,X_6719)
| coll(X_6718,X_6719,X_6717) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6717)),bind(B,$fot(X_6717)),bind(C,$fot(X_6718)),bind(D,$fot(X_6719))]]) ).
cnf(refute_0_112,plain,
( ~ coll(X_6717,X_6717,X_6719)
| coll(X_6718,X_6719,X_6717) ),
inference(resolve,[$cnf( coll(X_6717,X_6717,X_6718) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
coll(X_6717,X_6717,X_6719),
inference(subst,[],[refute_0_56:[bind(X_974,$fot(X_6719)),bind(X_975,$fot(X_6717))]]) ).
cnf(refute_0_114,plain,
coll(X_6718,X_6719,X_6717),
inference(resolve,[$cnf( coll(X_6717,X_6717,X_6719) )],[refute_0_113,refute_0_112]) ).
cnf(refute_0_115,plain,
coll(skolemFOFtoCNF_MIDPNT2,X_6834,C),
inference(subst,[],[refute_0_114:[bind(X_6717,$fot(C)),bind(X_6718,$fot(skolemFOFtoCNF_MIDPNT2)),bind(X_6719,$fot(X_6834))]]) ).
cnf(refute_0_116,plain,
coll(C,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT2,X_6834,C) )],[refute_0_115,refute_0_109]) ).
cnf(refute_0_117,plain,
coll(X_6836,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2),
inference(subst,[],[refute_0_116:[bind(C,$fot(X_6836))]]) ).
cnf(refute_0_118,plain,
( ~ coll(X_6836,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_MIDPNT2,X_6836) ),
inference(resolve,[$cnf( coll(X_6836,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT2) )],[refute_0_117,refute_0_97]) ).
cnf(refute_0_119,plain,
coll(X_6836,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_114:[bind(X_6717,$fot(C)),bind(X_6718,$fot(X_6836)),bind(X_6719,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_120,plain,
coll(C,skolemFOFtoCNF_MIDPNT2,X_6836),
inference(resolve,[$cnf( coll(X_6836,skolemFOFtoCNF_C_1,C) )],[refute_0_119,refute_0_118]) ).
cnf(refute_0_121,plain,
coll(X_7005,skolemFOFtoCNF_MIDPNT2,X_7006),
inference(subst,[],[refute_0_120:[bind(C,$fot(X_7005)),bind(X_6836,$fot(X_7006))]]) ).
cnf(refute_0_122,plain,
( ~ coll(X_7005,skolemFOFtoCNF_MIDPNT2,C)
| coll(C,X_7006,X_7005) ),
inference(resolve,[$cnf( coll(X_7005,skolemFOFtoCNF_MIDPNT2,X_7006) )],[refute_0_121,refute_0_96]) ).
cnf(refute_0_123,plain,
( ~ coll(X_7001,skolemFOFtoCNF_MIDPNT11,C)
| ~ coll(X_7001,skolemFOFtoCNF_MIDPNT11,X_7002)
| coll(C,X_7002,X_7001) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_7001)),bind(B,$fot(skolemFOFtoCNF_MIDPNT11)),bind(D,$fot(X_7002))]]) ).
cnf(refute_0_124,plain,
( ~ coll(X_6729,skolemFOFtoCNF_A,C)
| ~ coll(X_6729,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT11)
| coll(C,skolemFOFtoCNF_MIDPNT11,X_6729) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6729)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_MIDPNT11))]]) ).
cnf(refute_0_125,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT11,X_6728,C)
| ~ coll(skolemFOFtoCNF_MIDPNT11,X_6728,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT11) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT11)),bind(B,$fot(X_6728)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_126,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_MIDPNT11)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_127,plain,
coll(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_36,refute_0_126]) ).
cnf(refute_0_128,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT11) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT11)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_129,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT11),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT11,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_6719)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT11)
| coll(skolemFOFtoCNF_MIDPNT11,X_6719,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_MIDPNT11)),bind(D,$fot(X_6719))]]) ).
cnf(refute_0_131,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_6719)
| coll(skolemFOFtoCNF_MIDPNT11,X_6719,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT11) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_6719),
inference(subst,[],[refute_0_56:[bind(X_974,$fot(X_6719)),bind(X_975,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_133,plain,
coll(skolemFOFtoCNF_MIDPNT11,X_6719,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_6719) )],[refute_0_132,refute_0_131]) ).
cnf(refute_0_134,plain,
coll(skolemFOFtoCNF_MIDPNT11,X_6728,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_133:[bind(X_6719,$fot(X_6728))]]) ).
cnf(refute_0_135,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT11,X_6728,C)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT11) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT11,X_6728,skolemFOFtoCNF_A) )],[refute_0_134,refute_0_125]) ).
cnf(refute_0_136,plain,
coll(skolemFOFtoCNF_MIDPNT11,X_6728,C),
inference(subst,[],[refute_0_114:[bind(X_6717,$fot(C)),bind(X_6718,$fot(skolemFOFtoCNF_MIDPNT11)),bind(X_6719,$fot(X_6728))]]) ).
cnf(refute_0_137,plain,
coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT11),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT11,X_6728,C) )],[refute_0_136,refute_0_135]) ).
cnf(refute_0_138,plain,
coll(X_6729,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT11),
inference(subst,[],[refute_0_137:[bind(C,$fot(X_6729))]]) ).
cnf(refute_0_139,plain,
( ~ coll(X_6729,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_MIDPNT11,X_6729) ),
inference(resolve,[$cnf( coll(X_6729,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT11) )],[refute_0_138,refute_0_124]) ).
cnf(refute_0_140,plain,
coll(X_6729,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_114:[bind(X_6717,$fot(C)),bind(X_6718,$fot(X_6729)),bind(X_6719,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_141,plain,
coll(C,skolemFOFtoCNF_MIDPNT11,X_6729),
inference(resolve,[$cnf( coll(X_6729,skolemFOFtoCNF_A,C) )],[refute_0_140,refute_0_139]) ).
cnf(refute_0_142,plain,
coll(X_7001,skolemFOFtoCNF_MIDPNT11,X_7002),
inference(subst,[],[refute_0_141:[bind(C,$fot(X_7001)),bind(X_6729,$fot(X_7002))]]) ).
cnf(refute_0_143,plain,
( ~ coll(X_7001,skolemFOFtoCNF_MIDPNT11,C)
| coll(C,X_7002,X_7001) ),
inference(resolve,[$cnf( coll(X_7001,skolemFOFtoCNF_MIDPNT11,X_7002) )],[refute_0_142,refute_0_123]) ).
cnf(refute_0_144,plain,
( ~ coll(X_6990,skolemFOFtoCNF_MIDPNT6,C)
| ~ coll(X_6990,skolemFOFtoCNF_MIDPNT6,X_6991)
| coll(C,X_6991,X_6990) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6990)),bind(B,$fot(skolemFOFtoCNF_MIDPNT6)),bind(D,$fot(X_6991))]]) ).
cnf(refute_0_145,plain,
( ~ coll(X_6797,skolemFOFtoCNF_B_1,C)
| ~ coll(X_6797,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6)
| coll(C,skolemFOFtoCNF_MIDPNT6,X_6797) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6797)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_146,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_147,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_6742,skolemFOFtoCNF_MIDPNT6)
| coll(X_6742,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_6742)),bind(C,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_148,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT6)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_149,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_MIDPNT6)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_150,plain,
midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_151,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_H)),bind(M,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_152,plain,
midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_MIDPNT6)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_154,plain,
coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_154,refute_0_149]) ).
cnf(refute_0_156,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H) )],[refute_0_155,refute_0_148]) ).
cnf(refute_0_157,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6)
| coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_MIDPNT6)),bind(D,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_158,plain,
coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6,X_6719)
| ~ coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_6719,skolemFOFtoCNF_MIDPNT6) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT6)),bind(B,$fot(skolemFOFtoCNF_MIDPNT6)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_6719))]]) ).
cnf(refute_0_160,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6,X_6719)
| coll(skolemFOFtoCNF_B_1,X_6719,skolemFOFtoCNF_MIDPNT6) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6,X_6719),
inference(subst,[],[refute_0_56:[bind(X_974,$fot(X_6719)),bind(X_975,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_162,plain,
coll(skolemFOFtoCNF_B_1,X_6719,skolemFOFtoCNF_MIDPNT6),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_MIDPNT6,X_6719) )],[refute_0_161,refute_0_160]) ).
cnf(refute_0_163,plain,
coll(skolemFOFtoCNF_B_1,X_6742,skolemFOFtoCNF_MIDPNT6),
inference(subst,[],[refute_0_162:[bind(X_6719,$fot(X_6742))]]) ).
cnf(refute_0_164,plain,
coll(X_6742,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_6742,skolemFOFtoCNF_MIDPNT6) )],[refute_0_163,refute_0_147]) ).
cnf(refute_0_165,plain,
coll(X_6797,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6),
inference(subst,[],[refute_0_164:[bind(X_6742,$fot(X_6797))]]) ).
cnf(refute_0_166,plain,
( ~ coll(X_6797,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_MIDPNT6,X_6797) ),
inference(resolve,[$cnf( coll(X_6797,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT6) )],[refute_0_165,refute_0_145]) ).
cnf(refute_0_167,plain,
coll(X_6797,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_114:[bind(X_6717,$fot(C)),bind(X_6718,$fot(X_6797)),bind(X_6719,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_168,plain,
coll(C,skolemFOFtoCNF_MIDPNT6,X_6797),
inference(resolve,[$cnf( coll(X_6797,skolemFOFtoCNF_B_1,C) )],[refute_0_167,refute_0_166]) ).
cnf(refute_0_169,plain,
coll(X_6990,skolemFOFtoCNF_MIDPNT6,X_6991),
inference(subst,[],[refute_0_168:[bind(C,$fot(X_6990)),bind(X_6797,$fot(X_6991))]]) ).
cnf(refute_0_170,plain,
( ~ coll(X_6990,skolemFOFtoCNF_MIDPNT6,C)
| coll(C,X_6991,X_6990) ),
inference(resolve,[$cnf( coll(X_6990,skolemFOFtoCNF_MIDPNT6,X_6991) )],[refute_0_169,refute_0_144]) ).
cnf(refute_0_171,plain,
( ~ coll(X_6977,skolemFOFtoCNF_B_1,C)
| ~ coll(X_6977,skolemFOFtoCNF_B_1,X_6978)
| coll(C,X_6978,X_6977) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6977)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_6978))]]) ).
cnf(refute_0_172,plain,
( ~ coll(X_6976,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),C)
| ~ coll(X_6976,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_6976) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6976)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8))),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_173,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),X_6974,skolemFOFtoCNF_B_1)
| coll(X_6974,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8))),bind(B,$fot(X_6974)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_174,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)),skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8))),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)))),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_175,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8))),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_176,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT8)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8))),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_177,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_178,plain,
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_179,plain,
( ~ circle(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8) ),
inference(subst,[],[refute_0_178:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_180,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1)
| circle(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_181,plain,
midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_182,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_183,plain,
cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
circle(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1) )],[refute_0_183,refute_0_180]) ).
cnf(refute_0_185,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_184,refute_0_179]) ).
cnf(refute_0_186,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8) )],[refute_0_185,refute_0_177]) ).
cnf(refute_0_187,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_B_1) )],[refute_0_186,refute_0_176]) ).
cnf(refute_0_188,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_189,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8))
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_188:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8))),bind(H,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_190,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)) )],[refute_0_187,refute_0_189]) ).
cnf(refute_0_191,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_B_1) )],[refute_0_190,refute_0_175]) ).
cnf(refute_0_192,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_P_3(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)),skolemFOFtoCNF_B_1) )],[refute_0_191,refute_0_174]) ).
cnf(refute_0_193,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_6719)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8))
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),X_6719,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8))),bind(D,$fot(X_6719))]]) ).
cnf(refute_0_194,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_6719)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),X_6719,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_6719),
inference(subst,[],[refute_0_56:[bind(X_974,$fot(X_6719)),bind(X_975,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_196,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),X_6719,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_6719) )],[refute_0_195,refute_0_194]) ).
cnf(refute_0_197,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),X_6974,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_196:[bind(X_6719,$fot(X_6974))]]) ).
cnf(refute_0_198,plain,
coll(X_6974,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),X_6974,skolemFOFtoCNF_B_1) )],[refute_0_197,refute_0_173]) ).
cnf(refute_0_199,plain,
coll(X_6976,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_198:[bind(X_6974,$fot(X_6976))]]) ).
cnf(refute_0_200,plain,
( ~ coll(X_6976,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),C)
| coll(C,skolemFOFtoCNF_B_1,X_6976) ),
inference(resolve,[$cnf( coll(X_6976,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),skolemFOFtoCNF_B_1) )],[refute_0_199,refute_0_172]) ).
cnf(refute_0_201,plain,
( ~ coll(X_6959,skolemFOFtoCNF_MIDPNT7,C)
| ~ coll(X_6959,skolemFOFtoCNF_MIDPNT7,X_6960)
| coll(C,X_6960,X_6959) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6959)),bind(B,$fot(skolemFOFtoCNF_MIDPNT7)),bind(D,$fot(X_6960))]]) ).
cnf(refute_0_202,plain,
( ~ coll(X_6873,skolemFOFtoCNF_B_1,C)
| ~ coll(X_6873,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7)
| coll(C,skolemFOFtoCNF_MIDPNT7,X_6873) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6873)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_203,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT7,X_6829,C)
| ~ coll(skolemFOFtoCNF_MIDPNT7,X_6829,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT7)),bind(B,$fot(X_6829)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_204,plain,
midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_205,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
| midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_206,plain,
midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_MIDPNT7)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_208,plain,
coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT7)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_210,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT7,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_6719)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7)
| coll(skolemFOFtoCNF_MIDPNT7,X_6719,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT7)),bind(D,$fot(X_6719))]]) ).
cnf(refute_0_212,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_6719)
| coll(skolemFOFtoCNF_MIDPNT7,X_6719,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
coll(skolemFOFtoCNF_MIDPNT7,X_6719,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_6719) )],[refute_0_195,refute_0_212]) ).
cnf(refute_0_214,plain,
coll(skolemFOFtoCNF_MIDPNT7,X_6829,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_213:[bind(X_6719,$fot(X_6829))]]) ).
cnf(refute_0_215,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT7,X_6829,C)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT7,X_6829,skolemFOFtoCNF_B_1) )],[refute_0_214,refute_0_203]) ).
cnf(refute_0_216,plain,
coll(skolemFOFtoCNF_MIDPNT7,X_6829,C),
inference(subst,[],[refute_0_114:[bind(X_6717,$fot(C)),bind(X_6718,$fot(skolemFOFtoCNF_MIDPNT7)),bind(X_6719,$fot(X_6829))]]) ).
cnf(refute_0_217,plain,
coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT7,X_6829,C) )],[refute_0_216,refute_0_215]) ).
cnf(refute_0_218,plain,
coll(X_6873,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7),
inference(subst,[],[refute_0_217:[bind(C,$fot(X_6873))]]) ).
cnf(refute_0_219,plain,
( ~ coll(X_6873,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_MIDPNT7,X_6873) ),
inference(resolve,[$cnf( coll(X_6873,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT7) )],[refute_0_218,refute_0_202]) ).
cnf(refute_0_220,plain,
( ~ coll(X_6866,skolemFOFtoCNF_H,C)
| ~ coll(X_6866,skolemFOFtoCNF_H,X_6867)
| coll(C,X_6867,X_6866) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6866)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_6867))]]) ).
cnf(refute_0_221,plain,
( ~ coll(X_6755,skolemFOFtoCNF_MIDPNT6,C)
| ~ coll(X_6755,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H)
| coll(C,skolemFOFtoCNF_H,X_6755) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6755)),bind(B,$fot(skolemFOFtoCNF_MIDPNT6)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_222,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT6,X_6724,skolemFOFtoCNF_H)
| coll(X_6724,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_MIDPNT6)),bind(B,$fot(X_6724)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_223,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT6)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_224,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_154,refute_0_223]) ).
cnf(refute_0_225,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_6719)
| ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6)
| coll(skolemFOFtoCNF_MIDPNT6,X_6719,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_MIDPNT6)),bind(D,$fot(X_6719))]]) ).
cnf(refute_0_226,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_6719)
| coll(skolemFOFtoCNF_MIDPNT6,X_6719,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT6) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_6719),
inference(subst,[],[refute_0_56:[bind(X_974,$fot(X_6719)),bind(X_975,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_228,plain,
coll(skolemFOFtoCNF_MIDPNT6,X_6719,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_6719) )],[refute_0_227,refute_0_226]) ).
cnf(refute_0_229,plain,
coll(skolemFOFtoCNF_MIDPNT6,X_6724,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_228:[bind(X_6719,$fot(X_6724))]]) ).
cnf(refute_0_230,plain,
coll(X_6724,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT6,X_6724,skolemFOFtoCNF_H) )],[refute_0_229,refute_0_222]) ).
cnf(refute_0_231,plain,
coll(X_6755,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_230:[bind(X_6724,$fot(X_6755))]]) ).
cnf(refute_0_232,plain,
( ~ coll(X_6755,skolemFOFtoCNF_MIDPNT6,C)
| coll(C,skolemFOFtoCNF_H,X_6755) ),
inference(resolve,[$cnf( coll(X_6755,skolemFOFtoCNF_MIDPNT6,skolemFOFtoCNF_H) )],[refute_0_231,refute_0_221]) ).
cnf(refute_0_233,plain,
coll(X_6755,skolemFOFtoCNF_MIDPNT6,C),
inference(subst,[],[refute_0_114:[bind(X_6717,$fot(C)),bind(X_6718,$fot(X_6755)),bind(X_6719,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_234,plain,
coll(C,skolemFOFtoCNF_H,X_6755),
inference(resolve,[$cnf( coll(X_6755,skolemFOFtoCNF_MIDPNT6,C) )],[refute_0_233,refute_0_232]) ).
cnf(refute_0_235,plain,
coll(X_6866,skolemFOFtoCNF_H,X_6867),
inference(subst,[],[refute_0_234:[bind(C,$fot(X_6866)),bind(X_6755,$fot(X_6867))]]) ).
cnf(refute_0_236,plain,
( ~ coll(X_6866,skolemFOFtoCNF_H,C)
| coll(C,X_6867,X_6866) ),
inference(resolve,[$cnf( coll(X_6866,skolemFOFtoCNF_H,X_6867) )],[refute_0_235,refute_0_220]) ).
cnf(refute_0_237,plain,
( ~ coll(X_6862,skolemFOFtoCNF_A,C)
| ~ coll(X_6862,skolemFOFtoCNF_A,X_6863)
| coll(C,X_6863,X_6862) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6862)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_6863))]]) ).
cnf(refute_0_238,plain,
( ~ coll(X_6791,skolemFOFtoCNF_MIDPNT5,C)
| ~ coll(X_6791,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,X_6791) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6791)),bind(B,$fot(skolemFOFtoCNF_MIDPNT5)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_239,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT5,X_6732,skolemFOFtoCNF_A)
| coll(X_6732,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_MIDPNT5)),bind(B,$fot(X_6732)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_240,plain,
midp(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_241,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_MIDPNT5))]]) ).
cnf(refute_0_242,plain,
midp(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_MIDPNT5)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_244,plain,
coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT5) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT5)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_246,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT5),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_6719)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT5)
| coll(skolemFOFtoCNF_MIDPNT5,X_6719,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_MIDPNT5)),bind(D,$fot(X_6719))]]) ).
cnf(refute_0_248,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_6719)
| coll(skolemFOFtoCNF_MIDPNT5,X_6719,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT5) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
coll(skolemFOFtoCNF_MIDPNT5,X_6719,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_6719) )],[refute_0_132,refute_0_248]) ).
cnf(refute_0_250,plain,
coll(skolemFOFtoCNF_MIDPNT5,X_6732,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_249:[bind(X_6719,$fot(X_6732))]]) ).
cnf(refute_0_251,plain,
coll(X_6732,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT5,X_6732,skolemFOFtoCNF_A) )],[refute_0_250,refute_0_239]) ).
cnf(refute_0_252,plain,
coll(X_6791,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_251:[bind(X_6732,$fot(X_6791))]]) ).
cnf(refute_0_253,plain,
( ~ coll(X_6791,skolemFOFtoCNF_MIDPNT5,C)
| coll(C,skolemFOFtoCNF_A,X_6791) ),
inference(resolve,[$cnf( coll(X_6791,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A) )],[refute_0_252,refute_0_238]) ).
cnf(refute_0_254,plain,
coll(X_6791,skolemFOFtoCNF_MIDPNT5,C),
inference(subst,[],[refute_0_114:[bind(X_6717,$fot(C)),bind(X_6718,$fot(X_6791)),bind(X_6719,$fot(skolemFOFtoCNF_MIDPNT5))]]) ).
cnf(refute_0_255,plain,
coll(C,skolemFOFtoCNF_A,X_6791),
inference(resolve,[$cnf( coll(X_6791,skolemFOFtoCNF_MIDPNT5,C) )],[refute_0_254,refute_0_253]) ).
cnf(refute_0_256,plain,
coll(X_6862,skolemFOFtoCNF_A,X_6863),
inference(subst,[],[refute_0_255:[bind(C,$fot(X_6862)),bind(X_6791,$fot(X_6863))]]) ).
cnf(refute_0_257,plain,
( ~ coll(X_6862,skolemFOFtoCNF_A,C)
| coll(C,X_6863,X_6862) ),
inference(resolve,[$cnf( coll(X_6862,skolemFOFtoCNF_A,X_6863) )],[refute_0_256,refute_0_237]) ).
cnf(refute_0_258,plain,
( ~ coll(X_6860,skolemFOFtoCNF_C_1,C)
| ~ coll(X_6860,skolemFOFtoCNF_C_1,X_6861)
| coll(C,X_6861,X_6860) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6860)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_6861))]]) ).
cnf(refute_0_259,plain,
( ~ coll(X_6859,skolemFOFtoCNF_B_1,C)
| ~ coll(X_6859,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,X_6859) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6859)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_260,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_6831,skolemFOFtoCNF_C_1)
| coll(X_6831,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_6831)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_261,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_262,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_MIDPNT3)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_263,plain,
coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_69,refute_0_262]) ).
cnf(refute_0_264,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_263,refute_0_261]) ).
cnf(refute_0_265,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT3)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_266,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_C_1) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_6719)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_6719,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_6719))]]) ).
cnf(refute_0_268,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_6719)
| coll(skolemFOFtoCNF_B_1,X_6719,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
coll(skolemFOFtoCNF_B_1,X_6719,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_6719) )],[refute_0_106,refute_0_268]) ).
cnf(refute_0_270,plain,
coll(skolemFOFtoCNF_B_1,X_6831,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_269:[bind(X_6719,$fot(X_6831))]]) ).
cnf(refute_0_271,plain,
coll(X_6831,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_6831,skolemFOFtoCNF_C_1) )],[refute_0_270,refute_0_260]) ).
cnf(refute_0_272,plain,
coll(X_6859,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_271:[bind(X_6831,$fot(X_6859))]]) ).
cnf(refute_0_273,plain,
( ~ coll(X_6859,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_C_1,X_6859) ),
inference(resolve,[$cnf( coll(X_6859,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_272,refute_0_259]) ).
cnf(refute_0_274,plain,
coll(X_6859,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_114:[bind(X_6717,$fot(C)),bind(X_6718,$fot(X_6859)),bind(X_6719,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_275,plain,
coll(C,skolemFOFtoCNF_C_1,X_6859),
inference(resolve,[$cnf( coll(X_6859,skolemFOFtoCNF_B_1,C) )],[refute_0_274,refute_0_273]) ).
cnf(refute_0_276,plain,
coll(X_6860,skolemFOFtoCNF_C_1,X_6861),
inference(subst,[],[refute_0_275:[bind(C,$fot(X_6860)),bind(X_6859,$fot(X_6861))]]) ).
cnf(refute_0_277,plain,
( ~ coll(X_6860,skolemFOFtoCNF_C_1,C)
| coll(C,X_6861,X_6860) ),
inference(resolve,[$cnf( coll(X_6860,skolemFOFtoCNF_C_1,X_6861) )],[refute_0_276,refute_0_258]) ).
cnf(refute_0_278,plain,
coll(X_6860,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_114:[bind(X_6717,$fot(C)),bind(X_6718,$fot(X_6860)),bind(X_6719,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_279,plain,
coll(C,X_6861,X_6860),
inference(resolve,[$cnf( coll(X_6860,skolemFOFtoCNF_C_1,C) )],[refute_0_278,refute_0_277]) ).
cnf(refute_0_280,plain,
coll(X_6862,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_279:[bind(C,$fot(X_6862)),bind(X_6860,$fot(C)),bind(X_6861,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_281,plain,
coll(C,X_6863,X_6862),
inference(resolve,[$cnf( coll(X_6862,skolemFOFtoCNF_A,C) )],[refute_0_280,refute_0_257]) ).
cnf(refute_0_282,plain,
coll(X_6866,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_281:[bind(C,$fot(X_6866)),bind(X_6862,$fot(C)),bind(X_6863,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_283,plain,
coll(C,X_6867,X_6866),
inference(resolve,[$cnf( coll(X_6866,skolemFOFtoCNF_H,C) )],[refute_0_282,refute_0_236]) ).
cnf(refute_0_284,plain,
coll(X_6873,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_283:[bind(C,$fot(X_6873)),bind(X_6866,$fot(C)),bind(X_6867,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_285,plain,
coll(C,skolemFOFtoCNF_MIDPNT7,X_6873),
inference(resolve,[$cnf( coll(X_6873,skolemFOFtoCNF_B_1,C) )],[refute_0_284,refute_0_219]) ).
cnf(refute_0_286,plain,
coll(X_6959,skolemFOFtoCNF_MIDPNT7,X_6960),
inference(subst,[],[refute_0_285:[bind(C,$fot(X_6959)),bind(X_6873,$fot(X_6960))]]) ).
cnf(refute_0_287,plain,
( ~ coll(X_6959,skolemFOFtoCNF_MIDPNT7,C)
| coll(C,X_6960,X_6959) ),
inference(resolve,[$cnf( coll(X_6959,skolemFOFtoCNF_MIDPNT7,X_6960) )],[refute_0_286,refute_0_201]) ).
cnf(refute_0_288,plain,
( ~ coll(X_6957,skolemFOFtoCNF_MIDPNT01,C)
| ~ coll(X_6957,skolemFOFtoCNF_MIDPNT01,X_6958)
| coll(C,X_6958,X_6957) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6957)),bind(B,$fot(skolemFOFtoCNF_MIDPNT01)),bind(D,$fot(X_6958))]]) ).
cnf(refute_0_289,plain,
( ~ coll(X_6955,X_6956,skolemFOFtoCNF_MIDPNT01)
| coll(X_6955,skolemFOFtoCNF_MIDPNT01,X_6956) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_6955)),bind(B,$fot(X_6956)),bind(C,$fot(skolemFOFtoCNF_MIDPNT01))]]) ).
cnf(refute_0_290,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT01,X_6953,C)
| ~ coll(skolemFOFtoCNF_MIDPNT01,X_6953,X_6954)
| coll(C,X_6954,skolemFOFtoCNF_MIDPNT01) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT01)),bind(B,$fot(X_6953)),bind(D,$fot(X_6954))]]) ).
cnf(refute_0_291,plain,
( ~ coll(X_6787,skolemFOFtoCNF_H,D)
| ~ coll(X_6787,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01)
| coll(skolemFOFtoCNF_MIDPNT01,D,X_6787) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6787)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_MIDPNT01))]]) ).
cnf(refute_0_292,plain,
( ~ coll(skolemFOFtoCNF_H,X_6778,skolemFOFtoCNF_MIDPNT01)
| coll(X_6778,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(X_6778)),bind(C,$fot(skolemFOFtoCNF_MIDPNT01))]]) ).
cnf(refute_0_293,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT01) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_MIDPNT01))]]) ).
cnf(refute_0_294,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT01)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_295,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_MIDPNT01)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_296,plain,
midp(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H),
inference(canonicalize,[],[normalize_0_74]) ).
cnf(refute_0_297,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_MIDPNT01)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_298,plain,
coll(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) )],[refute_0_298,refute_0_295]) ).
cnf(refute_0_300,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H) )],[refute_0_299,refute_0_294]) ).
cnf(refute_0_301,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT01),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01) )],[refute_0_300,refute_0_293]) ).
cnf(refute_0_302,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT01)
| coll(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT01)),bind(D,$fot(skolemFOFtoCNF_MIDPNT01))]]) ).
cnf(refute_0_303,plain,
coll(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT01) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_MIDPNT01,X_6719)
| ~ coll(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,X_6719,skolemFOFtoCNF_MIDPNT01) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT01)),bind(B,$fot(skolemFOFtoCNF_MIDPNT01)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_6719))]]) ).
cnf(refute_0_305,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_MIDPNT01,X_6719)
| coll(skolemFOFtoCNF_H,X_6719,skolemFOFtoCNF_MIDPNT01) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_H) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
coll(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_MIDPNT01,X_6719),
inference(subst,[],[refute_0_56:[bind(X_974,$fot(X_6719)),bind(X_975,$fot(skolemFOFtoCNF_MIDPNT01))]]) ).
cnf(refute_0_307,plain,
coll(skolemFOFtoCNF_H,X_6719,skolemFOFtoCNF_MIDPNT01),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT01,skolemFOFtoCNF_MIDPNT01,X_6719) )],[refute_0_306,refute_0_305]) ).
cnf(refute_0_308,plain,
coll(skolemFOFtoCNF_H,X_6778,skolemFOFtoCNF_MIDPNT01),
inference(subst,[],[refute_0_307:[bind(X_6719,$fot(X_6778))]]) ).
cnf(refute_0_309,plain,
coll(X_6778,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,X_6778,skolemFOFtoCNF_MIDPNT01) )],[refute_0_308,refute_0_292]) ).
cnf(refute_0_310,plain,
coll(X_6787,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01),
inference(subst,[],[refute_0_309:[bind(X_6778,$fot(X_6787))]]) ).
cnf(refute_0_311,plain,
( ~ coll(X_6787,skolemFOFtoCNF_H,D)
| coll(skolemFOFtoCNF_MIDPNT01,D,X_6787) ),
inference(resolve,[$cnf( coll(X_6787,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT01) )],[refute_0_310,refute_0_291]) ).
cnf(refute_0_312,plain,
coll(X_6787,skolemFOFtoCNF_H,D),
inference(subst,[],[refute_0_114:[bind(X_6717,$fot(D)),bind(X_6718,$fot(X_6787)),bind(X_6719,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_313,plain,
coll(skolemFOFtoCNF_MIDPNT01,D,X_6787),
inference(resolve,[$cnf( coll(X_6787,skolemFOFtoCNF_H,D) )],[refute_0_312,refute_0_311]) ).
cnf(refute_0_314,plain,
coll(skolemFOFtoCNF_MIDPNT01,X_6953,X_6954),
inference(subst,[],[refute_0_313:[bind(D,$fot(X_6953)),bind(X_6787,$fot(X_6954))]]) ).
cnf(refute_0_315,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT01,X_6953,C)
| coll(C,X_6954,skolemFOFtoCNF_MIDPNT01) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT01,X_6953,X_6954) )],[refute_0_314,refute_0_290]) ).
cnf(refute_0_316,plain,
( ~ coll(X_6947,skolemFOFtoCNF_MIDPNT21,C)
| ~ coll(X_6947,skolemFOFtoCNF_MIDPNT21,X_6948)
| coll(C,X_6948,X_6947) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6947)),bind(B,$fot(skolemFOFtoCNF_MIDPNT21)),bind(D,$fot(X_6948))]]) ).
cnf(refute_0_317,plain,
( ~ coll(X_6946,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),C)
| ~ coll(X_6946,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21)
| coll(C,skolemFOFtoCNF_MIDPNT21,X_6946) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6946)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21))),bind(D,$fot(skolemFOFtoCNF_MIDPNT21))]]) ).
cnf(refute_0_318,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT21,X_6945,C)
| ~ coll(skolemFOFtoCNF_MIDPNT21,X_6945,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21))
| coll(C,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT21)),bind(B,$fot(X_6945)),bind(D,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)))]]) ).
cnf(refute_0_319,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21))
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT21)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21))),bind(D,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)))]]) ).
cnf(refute_0_320,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_MIDPNT21)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21))),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_321,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21))),bind(B,$fot(skolemFOFtoCNF_MIDPNT21)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_322,plain,
( ~ perp(skolemFOFtoCNF_H,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H)
| perp(skolemFOFtoCNF_H,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21))),bind(C,$fot(skolemFOFtoCNF_MIDPNT21)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_323,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_324,plain,
( ~ perp(skolemFOFtoCNF_H,skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)
| perp(skolemFOFtoCNF_H,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_323:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_MIDPNT21)),bind(H,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)))]]) ).
cnf(refute_0_325,plain,
( ~ perp(skolemFOFtoCNF_H,skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H)
| perp(skolemFOFtoCNF_H,skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21))),bind(C,$fot(skolemFOFtoCNF_MIDPNT21)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_326,plain,
( ~ perp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21))
| perp(skolemFOFtoCNF_H,skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_MIDPNT21)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)))]]) ).
cnf(refute_0_327,plain,
( ~ perp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H)
| perp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_MIDPNT21)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21))),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_328,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H)
| perp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21))),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_MIDPNT21)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_329,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_70:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21))),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_MIDPNT21))]]) ).
cnf(refute_0_330,plain,
( ~ circle(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21) ),
inference(subst,[],[refute_0_178:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_MIDPNT21))]]) ).
cnf(refute_0_331,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_A)
| circle(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_MIDPNT21))]]) ).
cnf(refute_0_332,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H)
| cong(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_MIDPNT21)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_MIDPNT21)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_333,plain,
midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_76]) ).
cnf(refute_0_334,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_A,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_H)),bind(M,$fot(skolemFOFtoCNF_MIDPNT21))]]) ).
cnf(refute_0_335,plain,
midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_A,skolemFOFtoCNF_H),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_A) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_A,skolemFOFtoCNF_H)
| cong(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_MIDPNT21)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_337,plain,
cong(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_A,skolemFOFtoCNF_H) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
cong(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H) )],[refute_0_337,refute_0_332]) ).
cnf(refute_0_339,plain,
circle(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_A) )],[refute_0_338,refute_0_331]) ).
cnf(refute_0_340,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_339,refute_0_330]) ).
cnf(refute_0_341,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21) )],[refute_0_340,refute_0_329]) ).
cnf(refute_0_342,plain,
perp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H) )],[refute_0_341,refute_0_328]) ).
cnf(refute_0_343,plain,
perp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H) )],[refute_0_342,refute_0_327]) ).
cnf(refute_0_344,plain,
perp(skolemFOFtoCNF_H,skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)) )],[refute_0_343,refute_0_326]) ).
cnf(refute_0_345,plain,
perp(skolemFOFtoCNF_H,skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_H,skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H) )],[refute_0_344,refute_0_325]) ).
cnf(refute_0_346,plain,
perp(skolemFOFtoCNF_H,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_H,skolemFOFtoCNF_P_4(skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21) )],[refute_0_345,refute_0_324]) ).
cnf(refute_0_347,plain,
perp(skolemFOFtoCNF_H,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_H,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H) )],[refute_0_346,refute_0_322]) ).
cnf(refute_0_348,plain,
( ~ perp(skolemFOFtoCNF_H,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_188:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_MIDPNT21)),bind(H,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)))]]) ).
cnf(refute_0_349,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_H,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H) )],[refute_0_349,refute_0_321]) ).
cnf(refute_0_351,plain,
coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_H) )],[refute_0_350,refute_0_320]) ).
cnf(refute_0_352,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT21,skolemFOFtoCNF_H,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)) )],[refute_0_351,refute_0_319]) ).
cnf(refute_0_353,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),X_6719)
| ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21)
| coll(skolemFOFtoCNF_MIDPNT21,X_6719,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21))),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21))),bind(C,$fot(skolemFOFtoCNF_MIDPNT21)),bind(D,$fot(X_6719))]]) ).
cnf(refute_0_354,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),X_6719)
| coll(skolemFOFtoCNF_MIDPNT21,X_6719,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),X_6719),
inference(subst,[],[refute_0_56:[bind(X_974,$fot(X_6719)),bind(X_975,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)))]]) ).
cnf(refute_0_356,plain,
coll(skolemFOFtoCNF_MIDPNT21,X_6719,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),X_6719) )],[refute_0_355,refute_0_354]) ).
cnf(refute_0_357,plain,
coll(skolemFOFtoCNF_MIDPNT21,X_6945,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)),
inference(subst,[],[refute_0_356:[bind(X_6719,$fot(X_6945))]]) ).
cnf(refute_0_358,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT21,X_6945,C)
| coll(C,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT21,X_6945,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)) )],[refute_0_357,refute_0_318]) ).
cnf(refute_0_359,plain,
( ~ coll(X_6904,skolemFOFtoCNF_MIDPNT8,C)
| ~ coll(X_6904,skolemFOFtoCNF_MIDPNT8,X_6905)
| coll(C,X_6905,X_6904) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6904)),bind(B,$fot(skolemFOFtoCNF_MIDPNT8)),bind(D,$fot(X_6905))]]) ).
cnf(refute_0_360,plain,
( ~ coll(X_6864,X_6865,skolemFOFtoCNF_MIDPNT8)
| coll(X_6864,skolemFOFtoCNF_MIDPNT8,X_6865) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_6864)),bind(B,$fot(X_6865)),bind(C,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_361,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1,C)
| ~ coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1,X_6739)
| coll(C,X_6739,skolemFOFtoCNF_MIDPNT8) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_6739))]]) ).
cnf(refute_0_362,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT8,X_6738,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1,X_6738) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(X_6738)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_363,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_364,plain,
coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_181,refute_0_363]) ).
cnf(refute_0_365,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT8) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_366,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_6719)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT8)
| coll(skolemFOFtoCNF_MIDPNT8,X_6719,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT8)),bind(D,$fot(X_6719))]]) ).
cnf(refute_0_368,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_6719)
| coll(skolemFOFtoCNF_MIDPNT8,X_6719,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_MIDPNT8) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
coll(skolemFOFtoCNF_MIDPNT8,X_6719,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_6719) )],[refute_0_106,refute_0_368]) ).
cnf(refute_0_370,plain,
coll(skolemFOFtoCNF_MIDPNT8,X_6738,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_369:[bind(X_6719,$fot(X_6738))]]) ).
cnf(refute_0_371,plain,
coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1,X_6738),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT8,X_6738,skolemFOFtoCNF_C_1) )],[refute_0_370,refute_0_362]) ).
cnf(refute_0_372,plain,
coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1,X_6739),
inference(subst,[],[refute_0_371:[bind(X_6738,$fot(X_6739))]]) ).
cnf(refute_0_373,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1,C)
| coll(C,X_6739,skolemFOFtoCNF_MIDPNT8) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1,X_6739) )],[refute_0_372,refute_0_361]) ).
cnf(refute_0_374,plain,
coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_114:[bind(X_6717,$fot(C)),bind(X_6718,$fot(skolemFOFtoCNF_MIDPNT8)),bind(X_6719,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_375,plain,
coll(C,X_6739,skolemFOFtoCNF_MIDPNT8),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_C_1,C) )],[refute_0_374,refute_0_373]) ).
cnf(refute_0_376,plain,
coll(X_6864,X_6865,skolemFOFtoCNF_MIDPNT8),
inference(subst,[],[refute_0_375:[bind(C,$fot(X_6864)),bind(X_6739,$fot(X_6865))]]) ).
cnf(refute_0_377,plain,
coll(X_6864,skolemFOFtoCNF_MIDPNT8,X_6865),
inference(resolve,[$cnf( coll(X_6864,X_6865,skolemFOFtoCNF_MIDPNT8) )],[refute_0_376,refute_0_360]) ).
cnf(refute_0_378,plain,
coll(X_6904,skolemFOFtoCNF_MIDPNT8,X_6905),
inference(subst,[],[refute_0_377:[bind(X_6864,$fot(X_6904)),bind(X_6865,$fot(X_6905))]]) ).
cnf(refute_0_379,plain,
( ~ coll(X_6904,skolemFOFtoCNF_MIDPNT8,C)
| coll(C,X_6905,X_6904) ),
inference(resolve,[$cnf( coll(X_6904,skolemFOFtoCNF_MIDPNT8,X_6905) )],[refute_0_378,refute_0_359]) ).
cnf(refute_0_380,plain,
( ~ coll(X_6895,skolemFOFtoCNF_MIDPNT5,C)
| ~ coll(X_6895,skolemFOFtoCNF_MIDPNT5,X_6896)
| coll(C,X_6896,X_6895) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6895)),bind(B,$fot(skolemFOFtoCNF_MIDPNT5)),bind(D,$fot(X_6896))]]) ).
cnf(refute_0_381,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT5,X_6885,X_6886)
| coll(X_6885,skolemFOFtoCNF_MIDPNT5,X_6886) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_MIDPNT5)),bind(B,$fot(X_6885)),bind(C,$fot(X_6886))]]) ).
cnf(refute_0_382,plain,
( ~ coll(X_6884,skolemFOFtoCNF_B_1,D)
| ~ coll(X_6884,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT5)
| coll(skolemFOFtoCNF_MIDPNT5,D,X_6884) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6884)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT5))]]) ).
cnf(refute_0_383,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_6854,skolemFOFtoCNF_MIDPNT5)
| coll(X_6854,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT5) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_6854)),bind(C,$fot(skolemFOFtoCNF_MIDPNT5))]]) ).
cnf(refute_0_384,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT5)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT5) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT5))]]) ).
cnf(refute_0_385,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT5) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_MIDPNT5)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_386,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_MIDPNT5)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_387,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_MIDPNT5)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_388,plain,
coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_240,refute_0_387]) ).
cnf(refute_0_389,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_388,refute_0_386]) ).
cnf(refute_0_390,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT5),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_B_1) )],[refute_0_389,refute_0_385]) ).
cnf(refute_0_391,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT5),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT5) )],[refute_0_390,refute_0_384]) ).
cnf(refute_0_392,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT5)
| coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_MIDPNT5)),bind(D,$fot(skolemFOFtoCNF_MIDPNT5))]]) ).
cnf(refute_0_393,plain,
coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT5) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_MIDPNT5,X_6719)
| ~ coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_6719,skolemFOFtoCNF_MIDPNT5) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT5)),bind(B,$fot(skolemFOFtoCNF_MIDPNT5)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_6719))]]) ).
cnf(refute_0_395,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_MIDPNT5,X_6719)
| coll(skolemFOFtoCNF_B_1,X_6719,skolemFOFtoCNF_MIDPNT5) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_B_1) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_MIDPNT5,X_6719),
inference(subst,[],[refute_0_56:[bind(X_974,$fot(X_6719)),bind(X_975,$fot(skolemFOFtoCNF_MIDPNT5))]]) ).
cnf(refute_0_397,plain,
coll(skolemFOFtoCNF_B_1,X_6719,skolemFOFtoCNF_MIDPNT5),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT5,skolemFOFtoCNF_MIDPNT5,X_6719) )],[refute_0_396,refute_0_395]) ).
cnf(refute_0_398,plain,
coll(skolemFOFtoCNF_B_1,X_6854,skolemFOFtoCNF_MIDPNT5),
inference(subst,[],[refute_0_397:[bind(X_6719,$fot(X_6854))]]) ).
cnf(refute_0_399,plain,
coll(X_6854,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT5),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_6854,skolemFOFtoCNF_MIDPNT5) )],[refute_0_398,refute_0_383]) ).
cnf(refute_0_400,plain,
coll(X_6884,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT5),
inference(subst,[],[refute_0_399:[bind(X_6854,$fot(X_6884))]]) ).
cnf(refute_0_401,plain,
( ~ coll(X_6884,skolemFOFtoCNF_B_1,D)
| coll(skolemFOFtoCNF_MIDPNT5,D,X_6884) ),
inference(resolve,[$cnf( coll(X_6884,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT5) )],[refute_0_400,refute_0_382]) ).
cnf(refute_0_402,plain,
( ~ coll(X_6879,skolemFOFtoCNF_MIDPNT1,C)
| ~ coll(X_6879,skolemFOFtoCNF_MIDPNT1,X_6880)
| coll(C,X_6880,X_6879) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6879)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(D,$fot(X_6880))]]) ).
cnf(refute_0_403,plain,
( ~ coll(X_6878,skolemFOFtoCNF_B_1,C)
| ~ coll(X_6878,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1)
| coll(C,skolemFOFtoCNF_MIDPNT1,X_6878) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6878)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_404,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_6843,skolemFOFtoCNF_MIDPNT1)
| coll(X_6843,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_6843)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_405,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_406,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_407,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_146:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_408,plain,
midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_77]) ).
cnf(refute_0_409,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_410,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_410,refute_0_407]) ).
cnf(refute_0_412,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1) )],[refute_0_411,refute_0_406]) ).
cnf(refute_0_413,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1) )],[refute_0_412,refute_0_405]) ).
cnf(refute_0_414,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1)
| coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_MIDPNT1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_415,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_MIDPNT1) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_6719)
| ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_6719,skolemFOFtoCNF_MIDPNT1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_6719))]]) ).
cnf(refute_0_417,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_6719)
| coll(skolemFOFtoCNF_B_1,X_6719,skolemFOFtoCNF_MIDPNT1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_B_1) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_6719),
inference(subst,[],[refute_0_56:[bind(X_974,$fot(X_6719)),bind(X_975,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_419,plain,
coll(skolemFOFtoCNF_B_1,X_6719,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT1,skolemFOFtoCNF_MIDPNT1,X_6719) )],[refute_0_418,refute_0_417]) ).
cnf(refute_0_420,plain,
coll(skolemFOFtoCNF_B_1,X_6843,skolemFOFtoCNF_MIDPNT1),
inference(subst,[],[refute_0_419:[bind(X_6719,$fot(X_6843))]]) ).
cnf(refute_0_421,plain,
coll(X_6843,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_6843,skolemFOFtoCNF_MIDPNT1) )],[refute_0_420,refute_0_404]) ).
cnf(refute_0_422,plain,
coll(X_6878,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1),
inference(subst,[],[refute_0_421:[bind(X_6843,$fot(X_6878))]]) ).
cnf(refute_0_423,plain,
( ~ coll(X_6878,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_MIDPNT1,X_6878) ),
inference(resolve,[$cnf( coll(X_6878,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT1) )],[refute_0_422,refute_0_403]) ).
cnf(refute_0_424,plain,
coll(X_6878,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_283:[bind(C,$fot(X_6878)),bind(X_6866,$fot(C)),bind(X_6867,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_425,plain,
coll(C,skolemFOFtoCNF_MIDPNT1,X_6878),
inference(resolve,[$cnf( coll(X_6878,skolemFOFtoCNF_B_1,C) )],[refute_0_424,refute_0_423]) ).
cnf(refute_0_426,plain,
coll(X_6879,skolemFOFtoCNF_MIDPNT1,X_6880),
inference(subst,[],[refute_0_425:[bind(C,$fot(X_6879)),bind(X_6878,$fot(X_6880))]]) ).
cnf(refute_0_427,plain,
( ~ coll(X_6879,skolemFOFtoCNF_MIDPNT1,C)
| coll(C,X_6880,X_6879) ),
inference(resolve,[$cnf( coll(X_6879,skolemFOFtoCNF_MIDPNT1,X_6880) )],[refute_0_426,refute_0_402]) ).
cnf(refute_0_428,plain,
coll(X_6879,skolemFOFtoCNF_MIDPNT1,C),
inference(subst,[],[refute_0_283:[bind(C,$fot(X_6879)),bind(X_6866,$fot(C)),bind(X_6867,$fot(skolemFOFtoCNF_MIDPNT1))]]) ).
cnf(refute_0_429,plain,
coll(C,X_6880,X_6879),
inference(resolve,[$cnf( coll(X_6879,skolemFOFtoCNF_MIDPNT1,C) )],[refute_0_428,refute_0_427]) ).
cnf(refute_0_430,plain,
coll(X_6884,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_429:[bind(C,$fot(X_6884)),bind(X_6879,$fot(D)),bind(X_6880,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_431,plain,
coll(skolemFOFtoCNF_MIDPNT5,D,X_6884),
inference(resolve,[$cnf( coll(X_6884,skolemFOFtoCNF_B_1,D) )],[refute_0_430,refute_0_401]) ).
cnf(refute_0_432,plain,
coll(skolemFOFtoCNF_MIDPNT5,X_6885,X_6886),
inference(subst,[],[refute_0_431:[bind(D,$fot(X_6885)),bind(X_6884,$fot(X_6886))]]) ).
cnf(refute_0_433,plain,
coll(X_6885,skolemFOFtoCNF_MIDPNT5,X_6886),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT5,X_6885,X_6886) )],[refute_0_432,refute_0_381]) ).
cnf(refute_0_434,plain,
coll(X_6895,skolemFOFtoCNF_MIDPNT5,X_6896),
inference(subst,[],[refute_0_433:[bind(X_6885,$fot(X_6895)),bind(X_6886,$fot(X_6896))]]) ).
cnf(refute_0_435,plain,
( ~ coll(X_6895,skolemFOFtoCNF_MIDPNT5,C)
| coll(C,X_6896,X_6895) ),
inference(resolve,[$cnf( coll(X_6895,skolemFOFtoCNF_MIDPNT5,X_6896) )],[refute_0_434,refute_0_380]) ).
cnf(refute_0_436,plain,
( ~ coll(X_6893,skolemFOFtoCNF_MIDPNT4,C)
| ~ coll(X_6893,skolemFOFtoCNF_MIDPNT4,X_6894)
| coll(C,X_6894,X_6893) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6893)),bind(B,$fot(skolemFOFtoCNF_MIDPNT4)),bind(D,$fot(X_6894))]]) ).
cnf(refute_0_437,plain,
( ~ coll(X_6803,skolemFOFtoCNF_H,C)
| ~ coll(X_6803,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT4)
| coll(C,skolemFOFtoCNF_MIDPNT4,X_6803) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_6803)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_MIDPNT4))]]) ).
cnf(refute_0_438,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT4,X_6775,C)
| ~ coll(skolemFOFtoCNF_MIDPNT4,X_6775,skolemFOFtoCNF_H)
| coll(C,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT4) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT4)),bind(B,$fot(X_6775)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_439,plain,
midp(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_H),
inference(canonicalize,[],[normalize_0_78]) ).
cnf(refute_0_440,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_MIDPNT4)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_441,plain,
coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_H),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_H) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT4) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_MIDPNT4)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_443,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT4),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT4,skolemFOFtoCNF_A,skolemFOFtoCNF_H) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_6719)
| ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT4)
| coll(skolemFOFtoCNF_MIDPNT4,X_6719,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_MIDPNT4)),bind(D,$fot(X_6719))]]) ).
cnf(refute_0_445,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_6719)
| coll(skolemFOFtoCNF_MIDPNT4,X_6719,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT4) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
coll(skolemFOFtoCNF_MIDPNT4,X_6719,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_6719) )],[refute_0_227,refute_0_445]) ).
cnf(refute_0_447,plain,
coll(skolemFOFtoCNF_MIDPNT4,X_6775,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_446:[bind(X_6719,$fot(X_6775))]]) ).
cnf(refute_0_448,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT4,X_6775,C)
| coll(C,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT4) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT4,X_6775,skolemFOFtoCNF_H) )],[refute_0_447,refute_0_438]) ).
cnf(refute_0_449,plain,
coll(skolemFOFtoCNF_MIDPNT4,X_6775,C),
inference(subst,[],[refute_0_114:[bind(X_6717,$fot(C)),bind(X_6718,$fot(skolemFOFtoCNF_MIDPNT4)),bind(X_6719,$fot(X_6775))]]) ).
cnf(refute_0_450,plain,
coll(C,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT4),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT4,X_6775,C) )],[refute_0_449,refute_0_448]) ).
cnf(refute_0_451,plain,
coll(X_6803,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT4),
inference(subst,[],[refute_0_450:[bind(C,$fot(X_6803))]]) ).
cnf(refute_0_452,plain,
( ~ coll(X_6803,skolemFOFtoCNF_H,C)
| coll(C,skolemFOFtoCNF_MIDPNT4,X_6803) ),
inference(resolve,[$cnf( coll(X_6803,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT4) )],[refute_0_451,refute_0_437]) ).
cnf(refute_0_453,plain,
coll(X_6803,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_114:[bind(X_6717,$fot(C)),bind(X_6718,$fot(X_6803)),bind(X_6719,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_454,plain,
coll(C,skolemFOFtoCNF_MIDPNT4,X_6803),
inference(resolve,[$cnf( coll(X_6803,skolemFOFtoCNF_H,C) )],[refute_0_453,refute_0_452]) ).
cnf(refute_0_455,plain,
coll(X_6893,skolemFOFtoCNF_MIDPNT4,X_6894),
inference(subst,[],[refute_0_454:[bind(C,$fot(X_6893)),bind(X_6803,$fot(X_6894))]]) ).
cnf(refute_0_456,plain,
( ~ coll(X_6893,skolemFOFtoCNF_MIDPNT4,C)
| coll(C,X_6894,X_6893) ),
inference(resolve,[$cnf( coll(X_6893,skolemFOFtoCNF_MIDPNT4,X_6894) )],[refute_0_455,refute_0_436]) ).
cnf(refute_0_457,plain,
coll(X_6893,skolemFOFtoCNF_MIDPNT4,C),
inference(subst,[],[refute_0_429:[bind(C,$fot(X_6893)),bind(X_6879,$fot(C)),bind(X_6880,$fot(skolemFOFtoCNF_MIDPNT4))]]) ).
cnf(refute_0_458,plain,
coll(C,X_6894,X_6893),
inference(resolve,[$cnf( coll(X_6893,skolemFOFtoCNF_MIDPNT4,C) )],[refute_0_457,refute_0_456]) ).
cnf(refute_0_459,plain,
coll(X_6895,skolemFOFtoCNF_MIDPNT5,C),
inference(subst,[],[refute_0_458:[bind(C,$fot(X_6895)),bind(X_6893,$fot(C)),bind(X_6894,$fot(skolemFOFtoCNF_MIDPNT5))]]) ).
cnf(refute_0_460,plain,
coll(C,X_6896,X_6895),
inference(resolve,[$cnf( coll(X_6895,skolemFOFtoCNF_MIDPNT5,C) )],[refute_0_459,refute_0_435]) ).
cnf(refute_0_461,plain,
coll(X_6904,skolemFOFtoCNF_MIDPNT8,C),
inference(subst,[],[refute_0_460:[bind(C,$fot(X_6904)),bind(X_6895,$fot(C)),bind(X_6896,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_462,plain,
coll(C,X_6905,X_6904),
inference(resolve,[$cnf( coll(X_6904,skolemFOFtoCNF_MIDPNT8,C) )],[refute_0_461,refute_0_379]) ).
cnf(refute_0_463,plain,
coll(skolemFOFtoCNF_MIDPNT21,X_6945,C),
inference(subst,[],[refute_0_462:[bind(C,$fot(skolemFOFtoCNF_MIDPNT21)),bind(X_6904,$fot(C)),bind(X_6905,$fot(X_6945))]]) ).
cnf(refute_0_464,plain,
coll(C,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT21,X_6945,C) )],[refute_0_463,refute_0_358]) ).
cnf(refute_0_465,plain,
coll(X_6946,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21),
inference(subst,[],[refute_0_464:[bind(C,$fot(X_6946))]]) ).
cnf(refute_0_466,plain,
( ~ coll(X_6946,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),C)
| coll(C,skolemFOFtoCNF_MIDPNT21,X_6946) ),
inference(resolve,[$cnf( coll(X_6946,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),skolemFOFtoCNF_MIDPNT21) )],[refute_0_465,refute_0_317]) ).
cnf(refute_0_467,plain,
coll(X_6946,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),C),
inference(subst,[],[refute_0_462:[bind(C,$fot(X_6946)),bind(X_6904,$fot(C)),bind(X_6905,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21)))]]) ).
cnf(refute_0_468,plain,
coll(C,skolemFOFtoCNF_MIDPNT21,X_6946),
inference(resolve,[$cnf( coll(X_6946,skolemFOFtoCNF_P_3(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_MIDPNT21),C) )],[refute_0_467,refute_0_466]) ).
cnf(refute_0_469,plain,
coll(X_6947,skolemFOFtoCNF_MIDPNT21,X_6948),
inference(subst,[],[refute_0_468:[bind(C,$fot(X_6947)),bind(X_6946,$fot(X_6948))]]) ).
cnf(refute_0_470,plain,
( ~ coll(X_6947,skolemFOFtoCNF_MIDPNT21,C)
| coll(C,X_6948,X_6947) ),
inference(resolve,[$cnf( coll(X_6947,skolemFOFtoCNF_MIDPNT21,X_6948) )],[refute_0_469,refute_0_316]) ).
cnf(refute_0_471,plain,
coll(X_6947,skolemFOFtoCNF_MIDPNT21,C),
inference(subst,[],[refute_0_462:[bind(C,$fot(X_6947)),bind(X_6904,$fot(C)),bind(X_6905,$fot(skolemFOFtoCNF_MIDPNT21))]]) ).
cnf(refute_0_472,plain,
coll(C,X_6948,X_6947),
inference(resolve,[$cnf( coll(X_6947,skolemFOFtoCNF_MIDPNT21,C) )],[refute_0_471,refute_0_470]) ).
cnf(refute_0_473,plain,
coll(skolemFOFtoCNF_MIDPNT01,X_6953,C),
inference(subst,[],[refute_0_472:[bind(C,$fot(skolemFOFtoCNF_MIDPNT01)),bind(X_6947,$fot(C)),bind(X_6948,$fot(X_6953))]]) ).
cnf(refute_0_474,plain,
coll(C,X_6954,skolemFOFtoCNF_MIDPNT01),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT01,X_6953,C) )],[refute_0_473,refute_0_315]) ).
cnf(refute_0_475,plain,
coll(X_6955,X_6956,skolemFOFtoCNF_MIDPNT01),
inference(subst,[],[refute_0_474:[bind(C,$fot(X_6955)),bind(X_6954,$fot(X_6956))]]) ).
cnf(refute_0_476,plain,
coll(X_6955,skolemFOFtoCNF_MIDPNT01,X_6956),
inference(resolve,[$cnf( coll(X_6955,X_6956,skolemFOFtoCNF_MIDPNT01) )],[refute_0_475,refute_0_289]) ).
cnf(refute_0_477,plain,
coll(X_6957,skolemFOFtoCNF_MIDPNT01,X_6958),
inference(subst,[],[refute_0_476:[bind(X_6955,$fot(X_6957)),bind(X_6956,$fot(X_6958))]]) ).
cnf(refute_0_478,plain,
( ~ coll(X_6957,skolemFOFtoCNF_MIDPNT01,C)
| coll(C,X_6958,X_6957) ),
inference(resolve,[$cnf( coll(X_6957,skolemFOFtoCNF_MIDPNT01,X_6958) )],[refute_0_477,refute_0_288]) ).
cnf(refute_0_479,plain,
coll(X_6957,skolemFOFtoCNF_MIDPNT01,C),
inference(subst,[],[refute_0_472:[bind(C,$fot(X_6957)),bind(X_6947,$fot(C)),bind(X_6948,$fot(skolemFOFtoCNF_MIDPNT01))]]) ).
cnf(refute_0_480,plain,
coll(C,X_6958,X_6957),
inference(resolve,[$cnf( coll(X_6957,skolemFOFtoCNF_MIDPNT01,C) )],[refute_0_479,refute_0_478]) ).
cnf(refute_0_481,plain,
coll(X_6959,skolemFOFtoCNF_MIDPNT7,C),
inference(subst,[],[refute_0_480:[bind(C,$fot(X_6959)),bind(X_6957,$fot(C)),bind(X_6958,$fot(skolemFOFtoCNF_MIDPNT7))]]) ).
cnf(refute_0_482,plain,
coll(C,X_6960,X_6959),
inference(resolve,[$cnf( coll(X_6959,skolemFOFtoCNF_MIDPNT7,C) )],[refute_0_481,refute_0_287]) ).
cnf(refute_0_483,plain,
coll(X_6976,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),C),
inference(subst,[],[refute_0_482:[bind(C,$fot(X_6976)),bind(X_6959,$fot(C)),bind(X_6960,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)))]]) ).
cnf(refute_0_484,plain,
coll(C,skolemFOFtoCNF_B_1,X_6976),
inference(resolve,[$cnf( coll(X_6976,skolemFOFtoCNF_P_4(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),C) )],[refute_0_483,refute_0_200]) ).
cnf(refute_0_485,plain,
coll(X_6977,skolemFOFtoCNF_B_1,X_6978),
inference(subst,[],[refute_0_484:[bind(C,$fot(X_6977)),bind(X_6976,$fot(X_6978))]]) ).
cnf(refute_0_486,plain,
( ~ coll(X_6977,skolemFOFtoCNF_B_1,C)
| coll(C,X_6978,X_6977) ),
inference(resolve,[$cnf( coll(X_6977,skolemFOFtoCNF_B_1,X_6978) )],[refute_0_485,refute_0_171]) ).
cnf(refute_0_487,plain,
coll(X_6977,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_482:[bind(C,$fot(X_6977)),bind(X_6959,$fot(C)),bind(X_6960,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_488,plain,
coll(C,X_6978,X_6977),
inference(resolve,[$cnf( coll(X_6977,skolemFOFtoCNF_B_1,C) )],[refute_0_487,refute_0_486]) ).
cnf(refute_0_489,plain,
coll(X_6990,skolemFOFtoCNF_MIDPNT6,C),
inference(subst,[],[refute_0_488:[bind(C,$fot(X_6990)),bind(X_6977,$fot(C)),bind(X_6978,$fot(skolemFOFtoCNF_MIDPNT6))]]) ).
cnf(refute_0_490,plain,
coll(C,X_6991,X_6990),
inference(resolve,[$cnf( coll(X_6990,skolemFOFtoCNF_MIDPNT6,C) )],[refute_0_489,refute_0_170]) ).
cnf(refute_0_491,plain,
coll(X_7001,skolemFOFtoCNF_MIDPNT11,C),
inference(subst,[],[refute_0_490:[bind(C,$fot(X_7001)),bind(X_6990,$fot(C)),bind(X_6991,$fot(skolemFOFtoCNF_MIDPNT11))]]) ).
cnf(refute_0_492,plain,
coll(C,X_7002,X_7001),
inference(resolve,[$cnf( coll(X_7001,skolemFOFtoCNF_MIDPNT11,C) )],[refute_0_491,refute_0_143]) ).
cnf(refute_0_493,plain,
coll(X_7005,skolemFOFtoCNF_MIDPNT2,C),
inference(subst,[],[refute_0_492:[bind(C,$fot(X_7005)),bind(X_7001,$fot(C)),bind(X_7002,$fot(skolemFOFtoCNF_MIDPNT2))]]) ).
cnf(refute_0_494,plain,
coll(C,X_7006,X_7005),
inference(resolve,[$cnf( coll(X_7005,skolemFOFtoCNF_MIDPNT2,C) )],[refute_0_493,refute_0_122]) ).
cnf(refute_0_495,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3),
inference(subst,[],[refute_0_494:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_7005,$fot(skolemFOFtoCNF_MIDPNT3)),bind(X_7006,$fot(skolemFOFtoCNF_MIDPNT3))]]) ).
cnf(refute_0_496,plain,
midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3) )],[refute_0_495,refute_0_95]) ).
cnf(refute_0_497,plain,
midp(skolemFOFtoCNF_B_1,X_9516,X_9516),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT3,skolemFOFtoCNF_MIDPNT3) )],[refute_0_496,refute_0_66]) ).
cnf(refute_0_498,plain,
midp(skolemFOFtoCNF_B_1,X_12927,X_12927),
inference(subst,[],[refute_0_497:[bind(X_9516,$fot(X_12927))]]) ).
cnf(refute_0_499,plain,
midp(skolemFOFtoCNF_P_1(X_12927,Q),X_12927,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_12927,X_12927) )],[refute_0_498,refute_0_61]) ).
cnf(refute_0_500,plain,
midp(skolemFOFtoCNF_P_1(X_12967,X_12966),X_12967,X_12966),
inference(subst,[],[refute_0_499:[bind(Q,$fot(X_12966)),bind(X_12927,$fot(X_12967))]]) ).
cnf(refute_0_501,plain,
cong(skolemFOFtoCNF_P_1(X_12967,X_12966),X_12967,skolemFOFtoCNF_P_1(X_12967,X_12966),X_12966),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_12967,X_12966),X_12967,X_12966) )],[refute_0_500,refute_0_21]) ).
cnf(refute_0_502,plain,
cong(skolemFOFtoCNF_P_1(X_14595,X_14594),X_14595,skolemFOFtoCNF_P_1(X_14595,X_14594),X_14594),
inference(subst,[],[refute_0_501:[bind(X_12966,$fot(X_14594)),bind(X_12967,$fot(X_14595))]]) ).
cnf(refute_0_503,plain,
cyclic(X_14595,X_14594,X_14594,X_14594),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_14595,X_14594),X_14595,skolemFOFtoCNF_P_1(X_14595,X_14594),X_14594) )],[refute_0_502,refute_0_19]) ).
cnf(refute_0_504,plain,
cyclic(X_14597,X_14596,X_14596,X_14596),
inference(subst,[],[refute_0_503:[bind(X_14594,$fot(X_14596)),bind(X_14595,$fot(X_14597))]]) ).
cnf(refute_0_505,plain,
cyclic(X_14596,X_14597,X_14596,X_14596),
inference(resolve,[$cnf( cyclic(X_14597,X_14596,X_14596,X_14596) )],[refute_0_504,refute_0_17]) ).
cnf(refute_0_506,plain,
cyclic(X_14598,X_14599,X_14598,X_14598),
inference(subst,[],[refute_0_505:[bind(X_14596,$fot(X_14598)),bind(X_14597,$fot(X_14599))]]) ).
cnf(refute_0_507,plain,
cyclic(X_14598,X_14598,X_14599,X_14598),
inference(resolve,[$cnf( cyclic(X_14598,X_14599,X_14598,X_14598) )],[refute_0_506,refute_0_15]) ).
cnf(refute_0_508,plain,
cyclic(X_14600,X_14600,X_14601,X_14600),
inference(subst,[],[refute_0_507:[bind(X_14598,$fot(X_14600)),bind(X_14599,$fot(X_14601))]]) ).
cnf(refute_0_509,plain,
cyclic(X_14600,X_14600,X_14600,X_14601),
inference(resolve,[$cnf( cyclic(X_14600,X_14600,X_14601,X_14600) )],[refute_0_508,refute_0_13]) ).
cnf(refute_0_510,plain,
cyclic(X_14602,X_14602,X_14602,X_14603),
inference(subst,[],[refute_0_509:[bind(X_14600,$fot(X_14602)),bind(X_14601,$fot(X_14603))]]) ).
cnf(refute_0_511,plain,
cyclic(X_14602,X_14602,X_14603,X_14603),
inference(resolve,[$cnf( cyclic(X_14602,X_14602,X_14602,X_14603) )],[refute_0_510,refute_0_11]) ).
cnf(refute_0_512,plain,
cyclic(X_14604,X_14604,X_14605,X_14605),
inference(subst,[],[refute_0_511:[bind(X_14602,$fot(X_14604)),bind(X_14603,$fot(X_14605))]]) ).
cnf(refute_0_513,plain,
( ~ cong(X_14604,X_14605,X_14604,X_14605)
| perp(X_14605,X_14604,X_14604,X_14605) ),
inference(resolve,[$cnf( cyclic(X_14604,X_14604,X_14605,X_14605) )],[refute_0_512,refute_0_9]) ).
cnf(refute_0_514,plain,
( ~ midp(X_12977,X_12978,X_12978)
| cong(X_12977,X_12978,X_12977,X_12978) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_12977)),bind(B,$fot(X_12978)),bind(C,$fot(X_12978))]]) ).
cnf(refute_0_515,plain,
( ~ midp(X_12949,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_12949,X_9516,X_9516) ),
inference(subst,[],[refute_0_65:[bind(X_9515,$fot(skolemFOFtoCNF_B_1)),bind(X_9517,$fot(X_12949))]]) ).
cnf(refute_0_516,plain,
( ~ coll(X_12948,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(X_12948,skolemFOFtoCNF_B_1,X_12948,skolemFOFtoCNF_B_1)
| midp(X_12948,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_67:[bind(A,$fot(X_12948)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_517,plain,
( ~ cong(X_12946,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_12946)
| cong(X_12946,skolemFOFtoCNF_B_1,X_12946,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_12946)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_12946))]]) ).
cnf(refute_0_518,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_12937,X_12937,skolemFOFtoCNF_B_1)
| cong(X_12937,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_12937) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_12937)),bind(C,$fot(X_12937)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_519,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_12929,skolemFOFtoCNF_B_1,X_12929)
| cong(skolemFOFtoCNF_B_1,X_12929,X_12929,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_12929)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_12929))]]) ).
cnf(refute_0_520,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_12927,X_12927)
| cong(skolemFOFtoCNF_B_1,X_12927,skolemFOFtoCNF_B_1,X_12927) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_12927)),bind(C,$fot(X_12927))]]) ).
cnf(refute_0_521,plain,
cong(skolemFOFtoCNF_B_1,X_12927,skolemFOFtoCNF_B_1,X_12927),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_12927,X_12927) )],[refute_0_498,refute_0_520]) ).
cnf(refute_0_522,plain,
cong(skolemFOFtoCNF_B_1,X_12929,skolemFOFtoCNF_B_1,X_12929),
inference(subst,[],[refute_0_521:[bind(X_12927,$fot(X_12929))]]) ).
cnf(refute_0_523,plain,
cong(skolemFOFtoCNF_B_1,X_12929,X_12929,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_12929,skolemFOFtoCNF_B_1,X_12929) )],[refute_0_522,refute_0_519]) ).
cnf(refute_0_524,plain,
cong(skolemFOFtoCNF_B_1,X_12937,X_12937,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_523:[bind(X_12929,$fot(X_12937))]]) ).
cnf(refute_0_525,plain,
cong(X_12937,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_12937),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_12937,X_12937,skolemFOFtoCNF_B_1) )],[refute_0_524,refute_0_518]) ).
cnf(refute_0_526,plain,
cong(X_12946,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_12946),
inference(subst,[],[refute_0_525:[bind(X_12937,$fot(X_12946))]]) ).
cnf(refute_0_527,plain,
cong(X_12946,skolemFOFtoCNF_B_1,X_12946,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(X_12946,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_12946) )],[refute_0_526,refute_0_517]) ).
cnf(refute_0_528,plain,
cong(X_12948,skolemFOFtoCNF_B_1,X_12948,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_527:[bind(X_12946,$fot(X_12948))]]) ).
cnf(refute_0_529,plain,
( ~ coll(X_12948,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_12948,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(X_12948,skolemFOFtoCNF_B_1,X_12948,skolemFOFtoCNF_B_1) )],[refute_0_528,refute_0_516]) ).
cnf(refute_0_530,plain,
coll(X_12948,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_494:[bind(C,$fot(X_12948)),bind(X_7005,$fot(skolemFOFtoCNF_B_1)),bind(X_7006,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_531,plain,
midp(X_12948,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(X_12948,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_530,refute_0_529]) ).
cnf(refute_0_532,plain,
midp(X_12949,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_531:[bind(X_12948,$fot(X_12949))]]) ).
cnf(refute_0_533,plain,
midp(X_12949,X_9516,X_9516),
inference(resolve,[$cnf( midp(X_12949,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_532,refute_0_515]) ).
cnf(refute_0_534,plain,
midp(X_12977,X_12978,X_12978),
inference(subst,[],[refute_0_533:[bind(X_12949,$fot(X_12977)),bind(X_9516,$fot(X_12978))]]) ).
cnf(refute_0_535,plain,
cong(X_12977,X_12978,X_12977,X_12978),
inference(resolve,[$cnf( midp(X_12977,X_12978,X_12978) )],[refute_0_534,refute_0_514]) ).
cnf(refute_0_536,plain,
cong(X_14604,X_14605,X_14604,X_14605),
inference(subst,[],[refute_0_535:[bind(X_12977,$fot(X_14604)),bind(X_12978,$fot(X_14605))]]) ).
cnf(refute_0_537,plain,
perp(X_14605,X_14604,X_14604,X_14605),
inference(resolve,[$cnf( cong(X_14604,X_14605,X_14604,X_14605) )],[refute_0_536,refute_0_513]) ).
cnf(refute_0_538,plain,
perp(X_14607,X_14606,X_14606,X_14607),
inference(subst,[],[refute_0_537:[bind(X_14604,$fot(X_14606)),bind(X_14605,$fot(X_14607))]]) ).
cnf(refute_0_539,plain,
( ~ midp(M,X_14607,X_14607)
| cong(X_14607,M,X_14606,M) ),
inference(resolve,[$cnf( perp(X_14607,X_14606,X_14606,X_14607) )],[refute_0_538,refute_0_7]) ).
cnf(refute_0_540,plain,
( ~ midp(X_12959,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8)
| midp(X_12959,X_9516,X_9516) ),
inference(subst,[],[refute_0_65:[bind(X_9515,$fot(skolemFOFtoCNF_MIDPNT8)),bind(X_9517,$fot(X_12959))]]) ).
cnf(refute_0_541,plain,
( ~ coll(X_12958,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8)
| ~ cong(X_12958,skolemFOFtoCNF_MIDPNT8,X_12958,skolemFOFtoCNF_MIDPNT8)
| midp(X_12958,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8) ),
inference(subst,[],[refute_0_67:[bind(A,$fot(X_12958)),bind(B,$fot(skolemFOFtoCNF_MIDPNT8)),bind(C,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_542,plain,
( ~ cong(X_12957,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8,X_12957)
| cong(X_12957,skolemFOFtoCNF_MIDPNT8,X_12957,skolemFOFtoCNF_MIDPNT8) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_12957)),bind(B,$fot(skolemFOFtoCNF_MIDPNT8)),bind(C,$fot(skolemFOFtoCNF_MIDPNT8)),bind(D,$fot(X_12957))]]) ).
cnf(refute_0_543,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT8,X_12950,X_12950,skolemFOFtoCNF_MIDPNT8)
| cong(X_12950,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8,X_12950) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(X_12950)),bind(C,$fot(X_12950)),bind(D,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_544,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT8,X_12935,skolemFOFtoCNF_MIDPNT8,X_12935)
| cong(skolemFOFtoCNF_MIDPNT8,X_12935,X_12935,skolemFOFtoCNF_MIDPNT8) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(X_12935)),bind(C,$fot(skolemFOFtoCNF_MIDPNT8)),bind(D,$fot(X_12935))]]) ).
cnf(refute_0_545,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT8,X_12926,X_12926)
| cong(skolemFOFtoCNF_MIDPNT8,X_12926,skolemFOFtoCNF_MIDPNT8,X_12926) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(X_12926)),bind(C,$fot(X_12926))]]) ).
cnf(refute_0_546,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_MIDPNT8,X_9516,X_9516) ),
inference(subst,[],[refute_0_65:[bind(X_9515,$fot(skolemFOFtoCNF_B_1)),bind(X_9517,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_547,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_67:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_548,plain,
( ~ cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)
| cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_MIDPNT8)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_549,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT8)),bind(C,$fot(skolemFOFtoCNF_MIDPNT8)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_550,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_MIDPNT8)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_551,plain,
( ~ midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8) ),
inference(subst,[],[refute_0_92:[bind(X_12923,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_552,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_181,refute_0_551]) ).
cnf(refute_0_553,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8) )],[refute_0_552,refute_0_550]) ).
cnf(refute_0_554,plain,
cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1) )],[refute_0_553,refute_0_549]) ).
cnf(refute_0_555,plain,
cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8) )],[refute_0_554,refute_0_548]) ).
cnf(refute_0_556,plain,
( ~ coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1) )],[refute_0_555,refute_0_547]) ).
cnf(refute_0_557,plain,
coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_494:[bind(C,$fot(skolemFOFtoCNF_MIDPNT8)),bind(X_7005,$fot(skolemFOFtoCNF_B_1)),bind(X_7006,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_558,plain,
midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_557,refute_0_556]) ).
cnf(refute_0_559,plain,
midp(skolemFOFtoCNF_MIDPNT8,X_9516,X_9516),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_558,refute_0_546]) ).
cnf(refute_0_560,plain,
midp(skolemFOFtoCNF_MIDPNT8,X_12926,X_12926),
inference(subst,[],[refute_0_559:[bind(X_9516,$fot(X_12926))]]) ).
cnf(refute_0_561,plain,
cong(skolemFOFtoCNF_MIDPNT8,X_12926,skolemFOFtoCNF_MIDPNT8,X_12926),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_MIDPNT8,X_12926,X_12926) )],[refute_0_560,refute_0_545]) ).
cnf(refute_0_562,plain,
cong(skolemFOFtoCNF_MIDPNT8,X_12935,skolemFOFtoCNF_MIDPNT8,X_12935),
inference(subst,[],[refute_0_561:[bind(X_12926,$fot(X_12935))]]) ).
cnf(refute_0_563,plain,
cong(skolemFOFtoCNF_MIDPNT8,X_12935,X_12935,skolemFOFtoCNF_MIDPNT8),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT8,X_12935,skolemFOFtoCNF_MIDPNT8,X_12935) )],[refute_0_562,refute_0_544]) ).
cnf(refute_0_564,plain,
cong(skolemFOFtoCNF_MIDPNT8,X_12950,X_12950,skolemFOFtoCNF_MIDPNT8),
inference(subst,[],[refute_0_563:[bind(X_12935,$fot(X_12950))]]) ).
cnf(refute_0_565,plain,
cong(X_12950,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8,X_12950),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_MIDPNT8,X_12950,X_12950,skolemFOFtoCNF_MIDPNT8) )],[refute_0_564,refute_0_543]) ).
cnf(refute_0_566,plain,
cong(X_12957,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8,X_12957),
inference(subst,[],[refute_0_565:[bind(X_12950,$fot(X_12957))]]) ).
cnf(refute_0_567,plain,
cong(X_12957,skolemFOFtoCNF_MIDPNT8,X_12957,skolemFOFtoCNF_MIDPNT8),
inference(resolve,[$cnf( cong(X_12957,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8,X_12957) )],[refute_0_566,refute_0_542]) ).
cnf(refute_0_568,plain,
cong(X_12958,skolemFOFtoCNF_MIDPNT8,X_12958,skolemFOFtoCNF_MIDPNT8),
inference(subst,[],[refute_0_567:[bind(X_12957,$fot(X_12958))]]) ).
cnf(refute_0_569,plain,
( ~ coll(X_12958,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8)
| midp(X_12958,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8) ),
inference(resolve,[$cnf( cong(X_12958,skolemFOFtoCNF_MIDPNT8,X_12958,skolemFOFtoCNF_MIDPNT8) )],[refute_0_568,refute_0_541]) ).
cnf(refute_0_570,plain,
coll(X_12958,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8),
inference(subst,[],[refute_0_494:[bind(C,$fot(X_12958)),bind(X_7005,$fot(skolemFOFtoCNF_MIDPNT8)),bind(X_7006,$fot(skolemFOFtoCNF_MIDPNT8))]]) ).
cnf(refute_0_571,plain,
midp(X_12958,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8),
inference(resolve,[$cnf( coll(X_12958,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8) )],[refute_0_570,refute_0_569]) ).
cnf(refute_0_572,plain,
midp(X_12959,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8),
inference(subst,[],[refute_0_571:[bind(X_12958,$fot(X_12959))]]) ).
cnf(refute_0_573,plain,
midp(X_12959,X_9516,X_9516),
inference(resolve,[$cnf( midp(X_12959,skolemFOFtoCNF_MIDPNT8,skolemFOFtoCNF_MIDPNT8) )],[refute_0_572,refute_0_540]) ).
cnf(refute_0_574,plain,
midp(M,X_14607,X_14607),
inference(subst,[],[refute_0_573:[bind(X_12959,$fot(M)),bind(X_9516,$fot(X_14607))]]) ).
cnf(refute_0_575,plain,
cong(X_14607,M,X_14606,M),
inference(resolve,[$cnf( midp(M,X_14607,X_14607) )],[refute_0_574,refute_0_539]) ).
cnf(refute_0_576,plain,
cong(X_14626,X_14624,X_14625,X_14624),
inference(subst,[],[refute_0_575:[bind(M,$fot(X_14624)),bind(X_14606,$fot(X_14625)),bind(X_14607,$fot(X_14626))]]) ).
cnf(refute_0_577,plain,
cong(X_14626,X_14624,X_14624,X_14625),
inference(resolve,[$cnf( cong(X_14626,X_14624,X_14625,X_14624) )],[refute_0_576,refute_0_5]) ).
cnf(refute_0_578,plain,
cong(X_14629,X_14627,X_14627,X_14628),
inference(subst,[],[refute_0_577:[bind(X_14624,$fot(X_14627)),bind(X_14625,$fot(X_14628)),bind(X_14626,$fot(X_14629))]]) ).
cnf(refute_0_579,plain,
cong(X_14627,X_14628,X_14629,X_14627),
inference(resolve,[$cnf( cong(X_14629,X_14627,X_14627,X_14628) )],[refute_0_578,refute_0_4]) ).
cnf(refute_0_580,plain,
cong(X_14652,X_14653,X_14654,X_14652),
inference(subst,[],[refute_0_579:[bind(X_14627,$fot(X_14652)),bind(X_14628,$fot(X_14653)),bind(X_14629,$fot(X_14654))]]) ).
cnf(refute_0_581,plain,
cong(X_14652,X_14653,X_14652,X_14654),
inference(resolve,[$cnf( cong(X_14652,X_14653,X_14654,X_14652) )],[refute_0_580,refute_0_2]) ).
cnf(refute_0_582,plain,
cong(skolemFOFtoCNF_H,skolemFOFtoCNF_OA,skolemFOFtoCNF_H,skolemFOFtoCNF_OB),
inference(subst,[],[refute_0_581:[bind(X_14652,$fot(skolemFOFtoCNF_H)),bind(X_14653,$fot(skolemFOFtoCNF_OA)),bind(X_14654,$fot(skolemFOFtoCNF_OB))]]) ).
cnf(refute_0_583,plain,
$false,
inference(resolve,[$cnf( cong(skolemFOFtoCNF_H,skolemFOFtoCNF_OA,skolemFOFtoCNF_H,skolemFOFtoCNF_OB) )],[refute_0_582,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO565+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 11:55:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 198.70/198.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 198.70/198.87
% 198.70/198.87 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 198.70/198.92
%------------------------------------------------------------------------------