%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO593+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 05:27:32 EDT 2022
% Result : Theorem 44.16s 44.35s
% Output : CNFRefutation 44.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 77
% Number of leaves : 29
% Syntax : Number of formulae : 408 ( 163 unt; 0 def)
% Number of atoms : 817 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 706 ( 297 ~; 292 |; 86 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-6 aty)
% Number of variables : 886 ( 106 sgn 430 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ) ).
fof(ruleD7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ) ).
fof(ruleD8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C) )
=> circle(O,A,B,C) ) ).
fof(ruleD13,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C)
& cong(O,A,O,D) )
=> cyclic(A,B,C,D) ) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ) ).
fof(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ) ).
fof(ruleD53,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ) ).
fof(ruleX6,axiom,
! [A,B,C,D,M,N] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D) )
=> ( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(exemplo6GDDFULL416055,conjecture,
! [B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3] :
( ( perp(A,B,A,C)
& perp(D,A,B,C)
& coll(D,B,C)
& midp(O,C,B)
& circle(O,A,NWPNT1,NWPNT2)
& perp(M,B,A,O)
& coll(M,A,O)
& coll(G,B,M)
& circle(O,A,G,NWPNT3)
& coll(F,C,A)
& coll(F,B,M)
& coll(E,A,D)
& coll(E,B,M) )
=> cong(E,A,E,F) ) ).
fof(subgoal_0,plain,
! [B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3] :
( ( perp(A,B,A,C)
& perp(D,A,B,C)
& coll(D,B,C)
& midp(O,C,B)
& circle(O,A,NWPNT1,NWPNT2)
& perp(M,B,A,O)
& coll(M,A,O)
& coll(G,B,M)
& circle(O,A,G,NWPNT3)
& coll(F,C,A)
& coll(F,B,M)
& coll(E,A,D)
& coll(E,B,M) )
=> cong(E,A,E,F) ),
inference(strip,[],[exemplo6GDDFULL416055]) ).
fof(negate_0_0,plain,
~ ! [B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3] :
( ( perp(A,B,A,C)
& perp(D,A,B,C)
& coll(D,B,C)
& midp(O,C,B)
& circle(O,A,NWPNT1,NWPNT2)
& perp(M,B,A,O)
& coll(M,A,O)
& coll(G,B,M)
& circle(O,A,G,NWPNT3)
& coll(F,C,A)
& coll(F,B,M)
& coll(E,A,D)
& coll(E,B,M) )
=> cong(E,A,E,F) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F,G,M,O] :
( ~ cong(E,A,E,F)
& coll(D,B,C)
& coll(E,A,D)
& coll(E,B,M)
& coll(F,B,M)
& coll(F,C,A)
& coll(G,B,M)
& coll(M,A,O)
& midp(O,C,B)
& perp(A,B,A,C)
& perp(D,A,B,C)
& perp(M,B,A,O)
& ? [NWPNT3] : circle(O,A,G,NWPNT3)
& ? [NWPNT1,NWPNT2] : circle(O,A,NWPNT1,NWPNT2) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ cong(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_F)
& coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
& coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3)
& coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3)
& coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
& coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3)
& coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
& midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
& ? [NWPNT3] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_G,NWPNT3)
& ? [NWPNT1,NWPNT2] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,NWPNT1,NWPNT2) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ cong(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_F),
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] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_29,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
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_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
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,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| ? [P] :
( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ),
inference(canonicalize,[],[ruleX6]) ).
fof(normalize_0_48,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| ? [P] :
( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ),
inference(specialize,[],[normalize_0_47]) ).
fof(normalize_0_49,plain,
! [A,B,C,D,M,N] :
( ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) )
& ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| para(skolemFOFtoCNF_P(A,B,C,D,M,N),M,B,D) )
& ( ~ midp(M,A,B)
| ~ midp(N,C,D)
| para(skolemFOFtoCNF_P(A,B,C,D,M,N),N,A,C) ) ),
inference(clausify,[],[normalize_0_48]) ).
fof(normalize_0_50,plain,
! [A,B,C,D,M,N] :
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(conjunct,[],[normalize_0_49]) ).
fof(normalize_0_51,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_52,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_51]) ).
fof(normalize_0_53,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_54,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_53]) ).
fof(normalize_0_55,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[ruleD12]) ).
fof(normalize_0_56,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_55]) ).
fof(normalize_0_57,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[ruleD53]) ).
fof(normalize_0_58,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_57]) ).
fof(normalize_0_59,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_60,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_59]) ).
fof(normalize_0_61,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_62,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_61]) ).
fof(normalize_0_63,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_64,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_63]) ).
fof(normalize_0_65,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_66,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
~ cong(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_F),
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_7436,X_7437,X_7438,X_7436)
| cong(X_7436,X_7437,X_7436,X_7438) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_7436)),bind(B,$fot(X_7437)),bind(C,$fot(X_7438)),bind(D,$fot(X_7436))]]) ).
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_7413,X_7411,X_7411,X_7412)
| cong(X_7411,X_7412,X_7413,X_7411) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_7413)),bind(B,$fot(X_7411)),bind(C,$fot(X_7411)),bind(D,$fot(X_7412))]]) ).
cnf(refute_0_5,plain,
( ~ cong(X_7410,X_7408,X_7409,X_7408)
| cong(X_7410,X_7408,X_7408,X_7409) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_7410)),bind(B,$fot(X_7408)),bind(C,$fot(X_7409)),bind(D,$fot(X_7408))]]) ).
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_7391,X_7391)
| ~ perp(X_7391,X_7390,X_7390,X_7391)
| cong(X_7391,M,X_7390,M) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_7391)),bind(B,$fot(X_7390)),bind(C,$fot(X_7391))]]) ).
cnf(refute_0_8,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_9,plain,
( ~ cong(X_7388,X_7389,X_7388,X_7389)
| ~ cyclic(X_7388,X_7388,X_7389,X_7389)
| perp(X_7389,X_7388,X_7388,X_7389) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_7388)),bind(B,$fot(X_7388)),bind(P,$fot(X_7389)),bind(Q,$fot(X_7389))]]) ).
cnf(refute_0_10,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_11,plain,
( ~ cyclic(X_7386,X_7386,X_7386,X_7387)
| cyclic(X_7386,X_7386,X_7387,X_7387) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_7386)),bind(B,$fot(X_7386)),bind(C,$fot(X_7386)),bind(D,$fot(X_7387)),bind(E,$fot(X_7387))]]) ).
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_7384,X_7384,X_7385,X_7384)
| cyclic(X_7384,X_7384,X_7384,X_7385) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_7384)),bind(B,$fot(X_7384)),bind(C,$fot(X_7385)),bind(D,$fot(X_7384))]]) ).
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_7382,X_7383,X_7382,X_7382)
| cyclic(X_7382,X_7382,X_7383,X_7382) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_7382)),bind(B,$fot(X_7383)),bind(C,$fot(X_7382)),bind(D,$fot(X_7382))]]) ).
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_7381,X_7380,X_7380,X_7380)
| cyclic(X_7380,X_7381,X_7380,X_7380) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_7381)),bind(B,$fot(X_7380)),bind(C,$fot(X_7380)),bind(D,$fot(X_7380))]]) ).
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_7379,X_7378),X_7379,skolemFOFtoCNF_P_1(X_7379,X_7378),X_7378)
| cyclic(X_7379,X_7378,X_7378,X_7378) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_7379)),bind(B,$fot(X_7378)),bind(C,$fot(X_7378)),bind(D,$fot(X_7378)),bind(O,$fot(skolemFOFtoCNF_P_1(X_7379,X_7378)))]]) ).
cnf(refute_0_20,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_21,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_3910,X_3909),X_3910,X_3909)
| cong(skolemFOFtoCNF_P_1(X_3910,X_3909),X_3910,skolemFOFtoCNF_P_1(X_3910,X_3909),X_3909) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_P_1(X_3910,X_3909))),bind(B,$fot(X_3910)),bind(C,$fot(X_3909))]]) ).
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_434,X_433,X_434)
| coll(X_434,X_434,X_433) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_434)),bind(B,$fot(X_433)),bind(C,$fot(X_434))]]) ).
cnf(refute_0_26,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_27,plain,
( ~ coll(X_431,X_432,X_432)
| coll(X_432,X_431,X_432) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_431)),bind(B,$fot(X_432)),bind(C,$fot(X_432))]]) ).
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_360,X_361,X_360,X_361)
| coll(X_360,X_361,X_361) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_360)),bind(B,$fot(X_361)),bind(C,$fot(X_361))]]) ).
cnf(refute_0_30,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_31,plain,
( ~ eqangle(X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| para(X_358,X_359,X_358,X_359) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(X_358)),bind(B,$fot(X_359)),bind(C,$fot(X_358)),bind(D,$fot(X_359)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_32,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_33,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_34,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_35,plain,
( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_36,plain,
midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_37,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_38,plain,
cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_38,refute_0_35]) ).
cnf(refute_0_40,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_39,refute_0_34]) ).
cnf(refute_0_41,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_40,refute_0_33]) ).
cnf(refute_0_42,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_43,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_45,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(X_153)),bind(Q,$fot(X_154))]]) ).
cnf(refute_0_46,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_43,refute_0_45]) ).
cnf(refute_0_47,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357),
inference(subst,[],[refute_0_46:[bind(X_153,$fot(X_356)),bind(X_154,$fot(X_357))]]) ).
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_B_1,skolemFOFtoCNF_B_1,X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357)
| eqangle(X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_48:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_356)),bind(D,$fot(X_357)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1)),bind(U,$fot(X_356)),bind(V,$fot(X_357))]]) ).
cnf(refute_0_50,plain,
eqangle(X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357) )],[refute_0_47,refute_0_49]) ).
cnf(refute_0_51,plain,
eqangle(X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_50:[bind(X_356,$fot(X_358)),bind(X_357,$fot(X_359))]]) ).
cnf(refute_0_52,plain,
para(X_358,X_359,X_358,X_359),
inference(resolve,[$cnf( eqangle(X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_51,refute_0_31]) ).
cnf(refute_0_53,plain,
para(X_360,X_361,X_360,X_361),
inference(subst,[],[refute_0_52:[bind(X_358,$fot(X_360)),bind(X_359,$fot(X_361))]]) ).
cnf(refute_0_54,plain,
coll(X_360,X_361,X_361),
inference(resolve,[$cnf( para(X_360,X_361,X_360,X_361) )],[refute_0_53,refute_0_29]) ).
cnf(refute_0_55,plain,
coll(X_431,X_432,X_432),
inference(subst,[],[refute_0_54:[bind(X_360,$fot(X_431)),bind(X_361,$fot(X_432))]]) ).
cnf(refute_0_56,plain,
coll(X_432,X_431,X_432),
inference(resolve,[$cnf( coll(X_431,X_432,X_432) )],[refute_0_55,refute_0_27]) ).
cnf(refute_0_57,plain,
coll(X_434,X_433,X_434),
inference(subst,[],[refute_0_56:[bind(X_431,$fot(X_433)),bind(X_432,$fot(X_434))]]) ).
cnf(refute_0_58,plain,
coll(X_434,X_434,X_433),
inference(resolve,[$cnf( coll(X_434,X_433,X_434) )],[refute_0_57,refute_0_25]) ).
cnf(refute_0_59,plain,
coll(D,D,D),
inference(subst,[],[refute_0_58:[bind(X_433,$fot(D)),bind(X_434,$fot(D))]]) ).
cnf(refute_0_60,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_59,refute_0_23]) ).
cnf(refute_0_61,plain,
( ~ midp(skolemFOFtoCNF_C_1,X_3876,X_3876)
| midp(skolemFOFtoCNF_P_1(X_3876,Q),X_3876,Q) ),
inference(subst,[],[refute_0_60:[bind(D,$fot(X_3876)),bind(N,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_62,plain,
para(X_3396,X_3397,X_3396,X_3397),
inference(subst,[],[refute_0_52:[bind(X_358,$fot(X_3396)),bind(X_359,$fot(X_3397))]]) ).
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_3398,X_3396,X_3396)
| ~ para(X_3396,X_3397,X_3396,X_3397)
| midp(X_3398,X_3397,X_3397) ),
inference(subst,[],[refute_0_63:[bind(A,$fot(X_3396)),bind(B,$fot(X_3396)),bind(C,$fot(X_3397)),bind(D,$fot(X_3397)),bind(M,$fot(X_3398))]]) ).
cnf(refute_0_65,plain,
( ~ midp(X_3398,X_3396,X_3396)
| midp(X_3398,X_3397,X_3397) ),
inference(resolve,[$cnf( para(X_3396,X_3397,X_3396,X_3397) )],[refute_0_62,refute_0_64]) ).
cnf(refute_0_66,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))
| midp(skolemFOFtoCNF_C_1,X_3397,X_3397) ),
inference(subst,[],[refute_0_65:[bind(X_3396,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(X_3398,$fot(skolemFOFtoCNF_C_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_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))
| ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
inference(subst,[],[refute_0_67:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(C,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_69,plain,
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_70,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_O_2)),bind(N,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_71,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_36,refute_0_70]) ).
cnf(refute_0_72,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| ~ perp(skolemFOFtoCNF_C_1,X_2166,X_2166,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),X_2166,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_2166)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_73,plain,
( ~ perp(skolemFOFtoCNF_C_1,X_2166,X_2166,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),X_2166,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
inference(subst,[],[refute_0_73:[bind(X_2166,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_75,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_76,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_75:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_77,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_78,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_79,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_80,plain,
( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1)
| circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_81,plain,
( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_82,plain,
cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_38,refute_0_81]) ).
cnf(refute_0_83,plain,
circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1) )],[refute_0_82,refute_0_80]) ).
cnf(refute_0_84,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_85,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_86,plain,
( ~ coll(X_1592,skolemFOFtoCNF_O_2,C)
| ~ coll(X_1592,skolemFOFtoCNF_O_2,X_1593)
| coll(C,X_1593,X_1592) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(X_1592)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(X_1593))]]) ).
cnf(refute_0_87,plain,
( ~ coll(X_1591,skolemFOFtoCNF_C_1,C)
| ~ coll(X_1591,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2)
| coll(C,skolemFOFtoCNF_O_2,X_1591) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(X_1591)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_88,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_1590,skolemFOFtoCNF_O_2)
| coll(X_1590,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1590)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_89,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_90,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_91,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_92,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_93,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_94,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_36,refute_0_93]) ).
cnf(refute_0_95,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_94,refute_0_91]) ).
cnf(refute_0_96,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_95,refute_0_90]) ).
cnf(refute_0_97,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) )],[refute_0_96,refute_0_89]) ).
cnf(refute_0_98,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1472)
| ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_1472,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1472))]]) ).
cnf(refute_0_99,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1472)
| coll(skolemFOFtoCNF_C_1,X_1472,skolemFOFtoCNF_O_2) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1472),
inference(subst,[],[refute_0_58:[bind(X_433,$fot(X_1472)),bind(X_434,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_101,plain,
coll(skolemFOFtoCNF_C_1,X_1472,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1472) )],[refute_0_100,refute_0_99]) ).
cnf(refute_0_102,plain,
coll(skolemFOFtoCNF_C_1,X_1590,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_101:[bind(X_1472,$fot(X_1590))]]) ).
cnf(refute_0_103,plain,
coll(X_1590,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_1590,skolemFOFtoCNF_O_2) )],[refute_0_102,refute_0_88]) ).
cnf(refute_0_104,plain,
coll(X_1591,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_103:[bind(X_1590,$fot(X_1591))]]) ).
cnf(refute_0_105,plain,
( ~ coll(X_1591,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_O_2,X_1591) ),
inference(resolve,[$cnf( coll(X_1591,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2) )],[refute_0_104,refute_0_87]) ).
cnf(refute_0_106,plain,
( ~ coll(X_1569,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1569,skolemFOFtoCNF_B_1,X_1570)
| coll(C,X_1570,X_1569) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(X_1569)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1570))]]) ).
cnf(refute_0_107,plain,
( ~ coll(X_1518,skolemFOFtoCNF_O_2,C)
| ~ coll(X_1518,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_1518) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(X_1518)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_108,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_1503,C)
| ~ coll(skolemFOFtoCNF_B_1,X_1503,skolemFOFtoCNF_O_2)
| coll(C,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1503)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_109,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_110,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_111,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_112,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_113,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_112:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_114,plain,
midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_36,refute_0_113]) ).
cnf(refute_0_115,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_92:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_116,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_116,refute_0_111]) ).
cnf(refute_0_118,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1) )],[refute_0_117,refute_0_110]) ).
cnf(refute_0_119,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2) )],[refute_0_118,refute_0_109]) ).
cnf(refute_0_120,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1472)
| ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_1472,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1472))]]) ).
cnf(refute_0_121,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1472)
| coll(skolemFOFtoCNF_B_1,X_1472,skolemFOFtoCNF_O_2) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
coll(skolemFOFtoCNF_B_1,X_1472,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1472) )],[refute_0_100,refute_0_121]) ).
cnf(refute_0_123,plain,
coll(skolemFOFtoCNF_B_1,X_1503,skolemFOFtoCNF_O_2),
inference(subst,[],[refute_0_122:[bind(X_1472,$fot(X_1503))]]) ).
cnf(refute_0_124,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_1503,C)
| coll(C,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1503,skolemFOFtoCNF_O_2) )],[refute_0_123,refute_0_108]) ).
cnf(refute_0_125,plain,
( ~ coll(X_431,X_432,X_432)
| coll(X_432,X_432,X_431) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(X_431)),bind(B,$fot(X_432)),bind(C,$fot(X_432)),bind(D,$fot(X_432))]]) ).
cnf(refute_0_126,plain,
coll(X_432,X_432,X_431),
inference(resolve,[$cnf( coll(X_431,X_432,X_432) )],[refute_0_55,refute_0_125]) ).
cnf(refute_0_127,plain,
coll(X_1470,X_1470,X_1471),
inference(subst,[],[refute_0_126:[bind(X_431,$fot(X_1471)),bind(X_432,$fot(X_1470))]]) ).
cnf(refute_0_128,plain,
( ~ coll(X_1470,X_1470,X_1471)
| ~ coll(X_1470,X_1470,X_1472)
| coll(X_1471,X_1472,X_1470) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(X_1470)),bind(B,$fot(X_1470)),bind(C,$fot(X_1471)),bind(D,$fot(X_1472))]]) ).
cnf(refute_0_129,plain,
( ~ coll(X_1470,X_1470,X_1472)
| coll(X_1471,X_1472,X_1470) ),
inference(resolve,[$cnf( coll(X_1470,X_1470,X_1471) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
coll(X_1470,X_1470,X_1472),
inference(subst,[],[refute_0_58:[bind(X_433,$fot(X_1472)),bind(X_434,$fot(X_1470))]]) ).
cnf(refute_0_131,plain,
coll(X_1471,X_1472,X_1470),
inference(resolve,[$cnf( coll(X_1470,X_1470,X_1472) )],[refute_0_130,refute_0_129]) ).
cnf(refute_0_132,plain,
coll(skolemFOFtoCNF_B_1,X_1503,C),
inference(subst,[],[refute_0_131:[bind(X_1470,$fot(C)),bind(X_1471,$fot(skolemFOFtoCNF_B_1)),bind(X_1472,$fot(X_1503))]]) ).
cnf(refute_0_133,plain,
coll(C,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1503,C) )],[refute_0_132,refute_0_124]) ).
cnf(refute_0_134,plain,
coll(X_1518,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_133:[bind(C,$fot(X_1518))]]) ).
cnf(refute_0_135,plain,
( ~ coll(X_1518,skolemFOFtoCNF_O_2,C)
| coll(C,skolemFOFtoCNF_B_1,X_1518) ),
inference(resolve,[$cnf( coll(X_1518,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_134,refute_0_107]) ).
cnf(refute_0_136,plain,
coll(X_1518,skolemFOFtoCNF_O_2,C),
inference(subst,[],[refute_0_131:[bind(X_1470,$fot(C)),bind(X_1471,$fot(X_1518)),bind(X_1472,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_137,plain,
coll(C,skolemFOFtoCNF_B_1,X_1518),
inference(resolve,[$cnf( coll(X_1518,skolemFOFtoCNF_O_2,C) )],[refute_0_136,refute_0_135]) ).
cnf(refute_0_138,plain,
coll(X_1569,skolemFOFtoCNF_B_1,X_1570),
inference(subst,[],[refute_0_137:[bind(C,$fot(X_1569)),bind(X_1518,$fot(X_1570))]]) ).
cnf(refute_0_139,plain,
( ~ coll(X_1569,skolemFOFtoCNF_B_1,C)
| coll(C,X_1570,X_1569) ),
inference(resolve,[$cnf( coll(X_1569,skolemFOFtoCNF_B_1,X_1570) )],[refute_0_138,refute_0_106]) ).
cnf(refute_0_140,plain,
( ~ coll(X_1565,skolemFOFtoCNF_F,C)
| ~ coll(X_1565,skolemFOFtoCNF_F,X_1566)
| coll(C,X_1566,X_1565) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(X_1565)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_1566))]]) ).
cnf(refute_0_141,plain,
( ~ coll(X_1564,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1564,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| coll(C,skolemFOFtoCNF_F,X_1564) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(X_1564)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_142,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_1524,skolemFOFtoCNF_F)
| coll(X_1524,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1524)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_143,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_144,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_145,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_146,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_M_3)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_148,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_M_3) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_F) )],[refute_0_148,refute_0_143]) ).
cnf(refute_0_150,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_1472)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_1472,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1472))]]) ).
cnf(refute_0_151,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_1472)
| coll(skolemFOFtoCNF_B_1,X_1472,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_1472),
inference(subst,[],[refute_0_58:[bind(X_433,$fot(X_1472)),bind(X_434,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_153,plain,
coll(skolemFOFtoCNF_B_1,X_1472,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_1472) )],[refute_0_152,refute_0_151]) ).
cnf(refute_0_154,plain,
coll(skolemFOFtoCNF_B_1,X_1524,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_153:[bind(X_1472,$fot(X_1524))]]) ).
cnf(refute_0_155,plain,
coll(X_1524,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1524,skolemFOFtoCNF_F) )],[refute_0_154,refute_0_142]) ).
cnf(refute_0_156,plain,
coll(X_1564,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_155:[bind(X_1524,$fot(X_1564))]]) ).
cnf(refute_0_157,plain,
( ~ coll(X_1564,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_F,X_1564) ),
inference(resolve,[$cnf( coll(X_1564,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_156,refute_0_141]) ).
cnf(refute_0_158,plain,
coll(X_1564,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_131:[bind(X_1470,$fot(C)),bind(X_1471,$fot(X_1564)),bind(X_1472,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_159,plain,
coll(C,skolemFOFtoCNF_F,X_1564),
inference(resolve,[$cnf( coll(X_1564,skolemFOFtoCNF_B_1,C) )],[refute_0_158,refute_0_157]) ).
cnf(refute_0_160,plain,
coll(X_1565,skolemFOFtoCNF_F,X_1566),
inference(subst,[],[refute_0_159:[bind(C,$fot(X_1565)),bind(X_1564,$fot(X_1566))]]) ).
cnf(refute_0_161,plain,
( ~ coll(X_1565,skolemFOFtoCNF_F,C)
| coll(C,X_1566,X_1565) ),
inference(resolve,[$cnf( coll(X_1565,skolemFOFtoCNF_F,X_1566) )],[refute_0_160,refute_0_140]) ).
cnf(refute_0_162,plain,
coll(X_1565,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_131:[bind(X_1470,$fot(C)),bind(X_1471,$fot(X_1565)),bind(X_1472,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_163,plain,
coll(C,X_1566,X_1565),
inference(resolve,[$cnf( coll(X_1565,skolemFOFtoCNF_F,C) )],[refute_0_162,refute_0_161]) ).
cnf(refute_0_164,plain,
coll(X_1569,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_163:[bind(C,$fot(X_1569)),bind(X_1565,$fot(C)),bind(X_1566,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_165,plain,
coll(C,X_1570,X_1569),
inference(resolve,[$cnf( coll(X_1569,skolemFOFtoCNF_B_1,C) )],[refute_0_164,refute_0_139]) ).
cnf(refute_0_166,plain,
coll(X_1591,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_165:[bind(C,$fot(X_1591)),bind(X_1569,$fot(C)),bind(X_1570,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_167,plain,
coll(C,skolemFOFtoCNF_O_2,X_1591),
inference(resolve,[$cnf( coll(X_1591,skolemFOFtoCNF_C_1,C) )],[refute_0_166,refute_0_105]) ).
cnf(refute_0_168,plain,
coll(X_1592,skolemFOFtoCNF_O_2,X_1593),
inference(subst,[],[refute_0_167:[bind(C,$fot(X_1592)),bind(X_1591,$fot(X_1593))]]) ).
cnf(refute_0_169,plain,
( ~ coll(X_1592,skolemFOFtoCNF_O_2,C)
| coll(C,X_1593,X_1592) ),
inference(resolve,[$cnf( coll(X_1592,skolemFOFtoCNF_O_2,X_1593) )],[refute_0_168,refute_0_86]) ).
cnf(refute_0_170,plain,
coll(X_1592,skolemFOFtoCNF_O_2,C),
inference(subst,[],[refute_0_165:[bind(C,$fot(X_1592)),bind(X_1569,$fot(C)),bind(X_1570,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_171,plain,
coll(C,X_1593,X_1592),
inference(resolve,[$cnf( coll(X_1592,skolemFOFtoCNF_O_2,C) )],[refute_0_170,refute_0_169]) ).
cnf(refute_0_172,plain,
coll(O,A,C),
inference(subst,[],[refute_0_171:[bind(C,$fot(O)),bind(X_1592,$fot(C)),bind(X_1593,$fot(A))]]) ).
cnf(refute_0_173,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_172,refute_0_84]) ).
cnf(refute_0_174,plain,
( ~ circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_173:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_175,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_83,refute_0_174]) ).
cnf(refute_0_176,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_175,refute_0_78]) ).
cnf(refute_0_177,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_176,refute_0_76]) ).
cnf(refute_0_178,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_177,refute_0_74]) ).
cnf(refute_0_179,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) )],[refute_0_178,refute_0_68]) ).
cnf(refute_0_180,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)),
inference(subst,[],[refute_0_171:[bind(C,$fot(skolemFOFtoCNF_C_1)),bind(X_1592,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(X_1593,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_181,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) )],[refute_0_180,refute_0_179]) ).
cnf(refute_0_182,plain,
midp(skolemFOFtoCNF_C_1,X_3397,X_3397),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) )],[refute_0_181,refute_0_66]) ).
cnf(refute_0_183,plain,
midp(skolemFOFtoCNF_C_1,X_3876,X_3876),
inference(subst,[],[refute_0_182:[bind(X_3397,$fot(X_3876))]]) ).
cnf(refute_0_184,plain,
midp(skolemFOFtoCNF_P_1(X_3876,Q),X_3876,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,X_3876,X_3876) )],[refute_0_183,refute_0_61]) ).
cnf(refute_0_185,plain,
midp(skolemFOFtoCNF_P_1(X_3910,X_3909),X_3910,X_3909),
inference(subst,[],[refute_0_184:[bind(Q,$fot(X_3909)),bind(X_3876,$fot(X_3910))]]) ).
cnf(refute_0_186,plain,
cong(skolemFOFtoCNF_P_1(X_3910,X_3909),X_3910,skolemFOFtoCNF_P_1(X_3910,X_3909),X_3909),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_3910,X_3909),X_3910,X_3909) )],[refute_0_185,refute_0_21]) ).
cnf(refute_0_187,plain,
cong(skolemFOFtoCNF_P_1(X_7379,X_7378),X_7379,skolemFOFtoCNF_P_1(X_7379,X_7378),X_7378),
inference(subst,[],[refute_0_186:[bind(X_3909,$fot(X_7378)),bind(X_3910,$fot(X_7379))]]) ).
cnf(refute_0_188,plain,
cyclic(X_7379,X_7378,X_7378,X_7378),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_7379,X_7378),X_7379,skolemFOFtoCNF_P_1(X_7379,X_7378),X_7378) )],[refute_0_187,refute_0_19]) ).
cnf(refute_0_189,plain,
cyclic(X_7381,X_7380,X_7380,X_7380),
inference(subst,[],[refute_0_188:[bind(X_7378,$fot(X_7380)),bind(X_7379,$fot(X_7381))]]) ).
cnf(refute_0_190,plain,
cyclic(X_7380,X_7381,X_7380,X_7380),
inference(resolve,[$cnf( cyclic(X_7381,X_7380,X_7380,X_7380) )],[refute_0_189,refute_0_17]) ).
cnf(refute_0_191,plain,
cyclic(X_7382,X_7383,X_7382,X_7382),
inference(subst,[],[refute_0_190:[bind(X_7380,$fot(X_7382)),bind(X_7381,$fot(X_7383))]]) ).
cnf(refute_0_192,plain,
cyclic(X_7382,X_7382,X_7383,X_7382),
inference(resolve,[$cnf( cyclic(X_7382,X_7383,X_7382,X_7382) )],[refute_0_191,refute_0_15]) ).
cnf(refute_0_193,plain,
cyclic(X_7384,X_7384,X_7385,X_7384),
inference(subst,[],[refute_0_192:[bind(X_7382,$fot(X_7384)),bind(X_7383,$fot(X_7385))]]) ).
cnf(refute_0_194,plain,
cyclic(X_7384,X_7384,X_7384,X_7385),
inference(resolve,[$cnf( cyclic(X_7384,X_7384,X_7385,X_7384) )],[refute_0_193,refute_0_13]) ).
cnf(refute_0_195,plain,
cyclic(X_7386,X_7386,X_7386,X_7387),
inference(subst,[],[refute_0_194:[bind(X_7384,$fot(X_7386)),bind(X_7385,$fot(X_7387))]]) ).
cnf(refute_0_196,plain,
cyclic(X_7386,X_7386,X_7387,X_7387),
inference(resolve,[$cnf( cyclic(X_7386,X_7386,X_7386,X_7387) )],[refute_0_195,refute_0_11]) ).
cnf(refute_0_197,plain,
cyclic(X_7388,X_7388,X_7389,X_7389),
inference(subst,[],[refute_0_196:[bind(X_7386,$fot(X_7388)),bind(X_7387,$fot(X_7389))]]) ).
cnf(refute_0_198,plain,
( ~ cong(X_7388,X_7389,X_7388,X_7389)
| perp(X_7389,X_7388,X_7388,X_7389) ),
inference(resolve,[$cnf( cyclic(X_7388,X_7388,X_7389,X_7389) )],[refute_0_197,refute_0_9]) ).
cnf(refute_0_199,plain,
( ~ midp(X_4011,X_4010,X_4010)
| cong(X_4011,X_4010,X_4011,X_4010) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_4011)),bind(B,$fot(X_4010)),bind(C,$fot(X_4010))]]) ).
cnf(refute_0_200,plain,
( ~ midp(X_3901,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(X_3901,X_3397,X_3397) ),
inference(subst,[],[refute_0_65:[bind(X_3396,$fot(skolemFOFtoCNF_C_1)),bind(X_3398,$fot(X_3901))]]) ).
cnf(refute_0_201,plain,
( ~ coll(X_3900,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| ~ cong(X_3900,skolemFOFtoCNF_C_1,X_3900,skolemFOFtoCNF_C_1)
| midp(X_3900,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_67:[bind(A,$fot(X_3900)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_202,plain,
( ~ cong(X_3898,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3898)
| cong(X_3898,skolemFOFtoCNF_C_1,X_3898,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_3898)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3898))]]) ).
cnf(refute_0_203,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_3886,X_3886,skolemFOFtoCNF_C_1)
| cong(X_3886,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3886) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3886)),bind(C,$fot(X_3886)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_204,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_3882,skolemFOFtoCNF_C_1,X_3882)
| cong(skolemFOFtoCNF_C_1,X_3882,X_3882,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3882)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3882))]]) ).
cnf(refute_0_205,plain,
( ~ midp(skolemFOFtoCNF_C_1,X_3876,X_3876)
| cong(skolemFOFtoCNF_C_1,X_3876,skolemFOFtoCNF_C_1,X_3876) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3876)),bind(C,$fot(X_3876))]]) ).
cnf(refute_0_206,plain,
cong(skolemFOFtoCNF_C_1,X_3876,skolemFOFtoCNF_C_1,X_3876),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,X_3876,X_3876) )],[refute_0_183,refute_0_205]) ).
cnf(refute_0_207,plain,
cong(skolemFOFtoCNF_C_1,X_3882,skolemFOFtoCNF_C_1,X_3882),
inference(subst,[],[refute_0_206:[bind(X_3876,$fot(X_3882))]]) ).
cnf(refute_0_208,plain,
cong(skolemFOFtoCNF_C_1,X_3882,X_3882,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_3882,skolemFOFtoCNF_C_1,X_3882) )],[refute_0_207,refute_0_204]) ).
cnf(refute_0_209,plain,
cong(skolemFOFtoCNF_C_1,X_3886,X_3886,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_208:[bind(X_3882,$fot(X_3886))]]) ).
cnf(refute_0_210,plain,
cong(X_3886,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3886),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_3886,X_3886,skolemFOFtoCNF_C_1) )],[refute_0_209,refute_0_203]) ).
cnf(refute_0_211,plain,
cong(X_3898,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3898),
inference(subst,[],[refute_0_210:[bind(X_3886,$fot(X_3898))]]) ).
cnf(refute_0_212,plain,
cong(X_3898,skolemFOFtoCNF_C_1,X_3898,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(X_3898,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_3898) )],[refute_0_211,refute_0_202]) ).
cnf(refute_0_213,plain,
cong(X_3900,skolemFOFtoCNF_C_1,X_3900,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_212:[bind(X_3898,$fot(X_3900))]]) ).
cnf(refute_0_214,plain,
( ~ coll(X_3900,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(X_3900,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( cong(X_3900,skolemFOFtoCNF_C_1,X_3900,skolemFOFtoCNF_C_1) )],[refute_0_213,refute_0_201]) ).
cnf(refute_0_215,plain,
coll(X_3900,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_171:[bind(C,$fot(X_3900)),bind(X_1592,$fot(skolemFOFtoCNF_C_1)),bind(X_1593,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_216,plain,
midp(X_3900,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(X_3900,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_215,refute_0_214]) ).
cnf(refute_0_217,plain,
midp(X_3901,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_216:[bind(X_3900,$fot(X_3901))]]) ).
cnf(refute_0_218,plain,
midp(X_3901,X_3397,X_3397),
inference(resolve,[$cnf( midp(X_3901,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_217,refute_0_200]) ).
cnf(refute_0_219,plain,
midp(X_4011,X_4010,X_4010),
inference(subst,[],[refute_0_218:[bind(X_3397,$fot(X_4010)),bind(X_3901,$fot(X_4011))]]) ).
cnf(refute_0_220,plain,
cong(X_4011,X_4010,X_4011,X_4010),
inference(resolve,[$cnf( midp(X_4011,X_4010,X_4010) )],[refute_0_219,refute_0_199]) ).
cnf(refute_0_221,plain,
cong(X_7388,X_7389,X_7388,X_7389),
inference(subst,[],[refute_0_220:[bind(X_4010,$fot(X_7389)),bind(X_4011,$fot(X_7388))]]) ).
cnf(refute_0_222,plain,
perp(X_7389,X_7388,X_7388,X_7389),
inference(resolve,[$cnf( cong(X_7388,X_7389,X_7388,X_7389) )],[refute_0_221,refute_0_198]) ).
cnf(refute_0_223,plain,
perp(X_7391,X_7390,X_7390,X_7391),
inference(subst,[],[refute_0_222:[bind(X_7388,$fot(X_7390)),bind(X_7389,$fot(X_7391))]]) ).
cnf(refute_0_224,plain,
( ~ midp(M,X_7391,X_7391)
| cong(X_7391,M,X_7390,M) ),
inference(resolve,[$cnf( perp(X_7391,X_7390,X_7390,X_7391) )],[refute_0_223,refute_0_7]) ).
cnf(refute_0_225,plain,
( ~ midp(X_3908,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_3908,X_3397,X_3397) ),
inference(subst,[],[refute_0_65:[bind(X_3396,$fot(skolemFOFtoCNF_B_1)),bind(X_3398,$fot(X_3908))]]) ).
cnf(refute_0_226,plain,
( ~ coll(X_3907,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(X_3907,skolemFOFtoCNF_B_1,X_3907,skolemFOFtoCNF_B_1)
| midp(X_3907,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_67:[bind(A,$fot(X_3907)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_227,plain,
( ~ cong(X_3905,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3905)
| cong(X_3905,skolemFOFtoCNF_B_1,X_3905,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_3905)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3905))]]) ).
cnf(refute_0_228,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_3893,X_3893,skolemFOFtoCNF_B_1)
| cong(X_3893,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3893) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_3893)),bind(C,$fot(X_3893)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_229,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_3878,skolemFOFtoCNF_B_1,X_3878)
| cong(skolemFOFtoCNF_B_1,X_3878,X_3878,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_3878)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_3878))]]) ).
cnf(refute_0_230,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_3874,X_3874)
| cong(skolemFOFtoCNF_B_1,X_3874,skolemFOFtoCNF_B_1,X_3874) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_3874)),bind(C,$fot(X_3874))]]) ).
cnf(refute_0_231,plain,
( ~ midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))
| midp(skolemFOFtoCNF_B_1,X_3397,X_3397) ),
inference(subst,[],[refute_0_65:[bind(X_3396,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(X_3398,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_232,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
inference(subst,[],[refute_0_67:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(C,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_233,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| ~ perp(skolemFOFtoCNF_B_1,B,B,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),B,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_234,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_112:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_235,plain,
( ~ coll(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| ~ cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_67:[bind(A,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_236,plain,
( ~ cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))
| cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_237,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(C,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_238,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_239,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_69:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_O_2)),bind(N,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_240,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_114,refute_0_239]) ).
cnf(refute_0_241,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_75:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_242,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_243,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_75:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_244,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_245,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_75:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_246,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_248,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_248,refute_0_243]) ).
cnf(refute_0_250,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_249,refute_0_242]) ).
cnf(refute_0_251,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_250,refute_0_241]) ).
cnf(refute_0_252,plain,
( ~ midp(X_2168,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,X_2168,skolemFOFtoCNF_A,X_2168) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(X_2168))]]) ).
cnf(refute_0_253,plain,
( ~ midp(X_2168,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,X_2168,skolemFOFtoCNF_A,X_2168) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
inference(subst,[],[refute_0_253:[bind(X_2168,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_255,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_240,refute_0_254]) ).
cnf(refute_0_256,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) )],[refute_0_255,refute_0_238]) ).
cnf(refute_0_257,plain,
cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A) )],[refute_0_256,refute_0_237]) ).
cnf(refute_0_258,plain,
cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) )],[refute_0_257,refute_0_236]) ).
cnf(refute_0_259,plain,
( ~ coll(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1) )],[refute_0_258,refute_0_235]) ).
cnf(refute_0_260,plain,
coll(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_171:[bind(C,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(X_1592,$fot(skolemFOFtoCNF_B_1)),bind(X_1593,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_261,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_260,refute_0_259]) ).
cnf(refute_0_262,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_261,refute_0_234]) ).
cnf(refute_0_263,plain,
( ~ perp(skolemFOFtoCNF_B_1,B,B,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),B,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_262,refute_0_233]) ).
cnf(refute_0_264,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
inference(subst,[],[refute_0_263:[bind(B,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_265,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_75:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_266,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_267,plain,
( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
| circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_268,plain,
( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)
| cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_269,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_270,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_271,plain,
( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) ),
inference(subst,[],[refute_0_253:[bind(X_2168,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_272,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_114,refute_0_271]) ).
cnf(refute_0_273,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_272,refute_0_270]) ).
cnf(refute_0_274,plain,
cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_273,refute_0_269]) ).
cnf(refute_0_275,plain,
cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) )],[refute_0_274,refute_0_268]) ).
cnf(refute_0_276,plain,
circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_275,refute_0_267]) ).
cnf(refute_0_277,plain,
( ~ circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_173:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).
cnf(refute_0_278,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_278,refute_0_266]) ).
cnf(refute_0_280,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_279,refute_0_265]) ).
cnf(refute_0_281,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_280,refute_0_264]) ).
cnf(refute_0_282,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) )],[refute_0_281,refute_0_232]) ).
cnf(refute_0_283,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)),
inference(subst,[],[refute_0_171:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_1592,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(X_1593,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)))]]) ).
cnf(refute_0_284,plain,
midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) )],[refute_0_283,refute_0_282]) ).
cnf(refute_0_285,plain,
midp(skolemFOFtoCNF_B_1,X_3397,X_3397),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) )],[refute_0_284,refute_0_231]) ).
cnf(refute_0_286,plain,
midp(skolemFOFtoCNF_B_1,X_3874,X_3874),
inference(subst,[],[refute_0_285:[bind(X_3397,$fot(X_3874))]]) ).
cnf(refute_0_287,plain,
cong(skolemFOFtoCNF_B_1,X_3874,skolemFOFtoCNF_B_1,X_3874),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_3874,X_3874) )],[refute_0_286,refute_0_230]) ).
cnf(refute_0_288,plain,
cong(skolemFOFtoCNF_B_1,X_3878,skolemFOFtoCNF_B_1,X_3878),
inference(subst,[],[refute_0_287:[bind(X_3874,$fot(X_3878))]]) ).
cnf(refute_0_289,plain,
cong(skolemFOFtoCNF_B_1,X_3878,X_3878,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_3878,skolemFOFtoCNF_B_1,X_3878) )],[refute_0_288,refute_0_229]) ).
cnf(refute_0_290,plain,
cong(skolemFOFtoCNF_B_1,X_3893,X_3893,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_289:[bind(X_3878,$fot(X_3893))]]) ).
cnf(refute_0_291,plain,
cong(X_3893,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3893),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_3893,X_3893,skolemFOFtoCNF_B_1) )],[refute_0_290,refute_0_228]) ).
cnf(refute_0_292,plain,
cong(X_3905,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3905),
inference(subst,[],[refute_0_291:[bind(X_3893,$fot(X_3905))]]) ).
cnf(refute_0_293,plain,
cong(X_3905,skolemFOFtoCNF_B_1,X_3905,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(X_3905,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_3905) )],[refute_0_292,refute_0_227]) ).
cnf(refute_0_294,plain,
cong(X_3907,skolemFOFtoCNF_B_1,X_3907,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_293:[bind(X_3905,$fot(X_3907))]]) ).
cnf(refute_0_295,plain,
( ~ coll(X_3907,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_3907,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(X_3907,skolemFOFtoCNF_B_1,X_3907,skolemFOFtoCNF_B_1) )],[refute_0_294,refute_0_226]) ).
cnf(refute_0_296,plain,
coll(X_3907,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_171:[bind(C,$fot(X_3907)),bind(X_1592,$fot(skolemFOFtoCNF_B_1)),bind(X_1593,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_297,plain,
midp(X_3907,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(X_3907,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_296,refute_0_295]) ).
cnf(refute_0_298,plain,
midp(X_3908,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_297:[bind(X_3907,$fot(X_3908))]]) ).
cnf(refute_0_299,plain,
midp(X_3908,X_3397,X_3397),
inference(resolve,[$cnf( midp(X_3908,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_298,refute_0_225]) ).
cnf(refute_0_300,plain,
midp(M,X_7391,X_7391),
inference(subst,[],[refute_0_299:[bind(X_3397,$fot(X_7391)),bind(X_3908,$fot(M))]]) ).
cnf(refute_0_301,plain,
cong(X_7391,M,X_7390,M),
inference(resolve,[$cnf( midp(M,X_7391,X_7391) )],[refute_0_300,refute_0_224]) ).
cnf(refute_0_302,plain,
cong(X_7410,X_7408,X_7409,X_7408),
inference(subst,[],[refute_0_301:[bind(M,$fot(X_7408)),bind(X_7390,$fot(X_7409)),bind(X_7391,$fot(X_7410))]]) ).
cnf(refute_0_303,plain,
cong(X_7410,X_7408,X_7408,X_7409),
inference(resolve,[$cnf( cong(X_7410,X_7408,X_7409,X_7408) )],[refute_0_302,refute_0_5]) ).
cnf(refute_0_304,plain,
cong(X_7413,X_7411,X_7411,X_7412),
inference(subst,[],[refute_0_303:[bind(X_7408,$fot(X_7411)),bind(X_7409,$fot(X_7412)),bind(X_7410,$fot(X_7413))]]) ).
cnf(refute_0_305,plain,
cong(X_7411,X_7412,X_7413,X_7411),
inference(resolve,[$cnf( cong(X_7413,X_7411,X_7411,X_7412) )],[refute_0_304,refute_0_4]) ).
cnf(refute_0_306,plain,
cong(X_7436,X_7437,X_7438,X_7436),
inference(subst,[],[refute_0_305:[bind(X_7411,$fot(X_7436)),bind(X_7412,$fot(X_7437)),bind(X_7413,$fot(X_7438))]]) ).
cnf(refute_0_307,plain,
cong(X_7436,X_7437,X_7436,X_7438),
inference(resolve,[$cnf( cong(X_7436,X_7437,X_7438,X_7436) )],[refute_0_306,refute_0_2]) ).
cnf(refute_0_308,plain,
cong(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_307:[bind(X_7436,$fot(skolemFOFtoCNF_E)),bind(X_7437,$fot(skolemFOFtoCNF_A)),bind(X_7438,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_309,plain,
$false,
inference(resolve,[$cnf( cong(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_F) )],[refute_0_308,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GEO593+1 : TPTP v8.1.0. Released v7.5.0.
% 0.05/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 21:26:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 44.16/44.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.16/44.35
% 44.16/44.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 44.16/44.38
%------------------------------------------------------------------------------