TSTP Solution File: GEO544+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO544+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:27:06 EDT 2022
% Result : Theorem 146.70s 146.90s
% Output : CNFRefutation 146.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 99
% Number of leaves : 30
% Syntax : Number of formulae : 384 ( 153 unt; 0 def)
% Number of atoms : 767 ( 0 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 672 ( 289 ~; 284 |; 67 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-6 aty)
% Number of variables : 926 ( 143 sgn 439 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ) ).
fof(ruleD7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ) ).
fof(ruleD8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C) )
=> circle(O,A,B,C) ) ).
fof(ruleD13,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C)
& cong(O,A,O,D) )
=> cyclic(A,B,C,D) ) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ) ).
fof(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ) ).
fof(ruleD53,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ) ).
fof(ruleD56,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q) )
=> perp(A,B,P,Q) ) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ) ).
fof(ruleX6,axiom,
! [A,B,C,D,M,N] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D) )
=> ( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(exemplo6GDDFULL012004,conjecture,
! [A,B,C,O,D,Q,S,J,M,I,NWPNT1] :
( ( circle(O,A,B,C)
& circle(O,A,D,NWPNT1)
& midp(Q,C,B)
& midp(S,A,D)
& midp(J,S,Q)
& coll(O,J,M)
& cong(O,J,O,M)
& coll(I,A,D)
& coll(I,B,C) )
=> perp(S,M,B,C) ) ).
fof(subgoal_0,plain,
! [A,B,C,O,D,Q,S,J,M,I,NWPNT1] :
( ( circle(O,A,B,C)
& circle(O,A,D,NWPNT1)
& midp(Q,C,B)
& midp(S,A,D)
& midp(J,S,Q)
& coll(O,J,M)
& cong(O,J,O,M)
& coll(I,A,D)
& coll(I,B,C) )
=> perp(S,M,B,C) ),
inference(strip,[],[exemplo6GDDFULL012004]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,O,D,Q,S,J,M,I,NWPNT1] :
( ( circle(O,A,B,C)
& circle(O,A,D,NWPNT1)
& midp(Q,C,B)
& midp(S,A,D)
& midp(J,S,Q)
& coll(O,J,M)
& cong(O,J,O,M)
& coll(I,A,D)
& coll(I,B,C) )
=> perp(S,M,B,C) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,I,J,M,O,Q,S] :
( ~ perp(S,M,B,C)
& circle(O,A,B,C)
& coll(I,A,D)
& coll(I,B,C)
& coll(O,J,M)
& cong(O,J,O,M)
& midp(J,S,Q)
& midp(Q,C,B)
& midp(S,A,D)
& ? [NWPNT1] : circle(O,A,D,NWPNT1) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ perp(skolemFOFtoCNF_S,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
& coll(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_J,skolemFOFtoCNF_M_3)
& cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_J,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3)
& midp(skolemFOFtoCNF_J,skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3)
& midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& midp(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
& ? [NWPNT1] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_D,NWPNT1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ perp(skolemFOFtoCNF_S,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(canonicalize,[],[ruleD56]) ).
fof(normalize_0_4,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[ruleD52]) ).
fof(normalize_0_6,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[ruleD57]) ).
fof(normalize_0_8,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[ruleD17]) ).
fof(normalize_0_10,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_12,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_14,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_16,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,C,D,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[ruleD13]) ).
fof(normalize_0_18,plain,
! [A,B,C,D,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_20,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(canonicalize,[],[ruleX7]) ).
fof(normalize_0_22,plain,
! [A,B,C,D] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ! [M] : ~ midp(M,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [Q] :
? [P] : midp(P,A,Q) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A,B,C,D,M,N,Q] :
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(clausify,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_25,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_27,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_29,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD39]) ).
fof(normalize_0_31,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A,B,C,D,P,Q] :
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(clausify,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[ruleD41]) ).
fof(normalize_0_34,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_36,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
midp(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
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] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_48,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_47]) ).
fof(normalize_0_49,plain,
midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_50,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_51,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_50]) ).
fof(normalize_0_52,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_53,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_52]) ).
fof(normalize_0_54,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_55,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_54]) ).
fof(normalize_0_56,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[ruleD12]) ).
fof(normalize_0_57,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_56]) ).
fof(normalize_0_58,plain,
! [A,B,C,D,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_59,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_58]) ).
fof(normalize_0_60,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_59]) ).
fof(normalize_0_61,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_60]) ).
fof(normalize_0_62,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_63,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_62]) ).
fof(normalize_0_64,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_65,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_66,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_65]) ).
fof(normalize_0_67,plain,
midp(skolemFOFtoCNF_J,skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_68,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_69,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_68]) ).
fof(normalize_0_70,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_J,skolemFOFtoCNF_M_3),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
~ perp(skolemFOFtoCNF_S,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ midp(M,X_14019,X_14019)
| ~ perp(X_14019,X_14018,X_14018,X_14019)
| cong(X_14019,M,X_14018,M) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_14019)),bind(B,$fot(X_14018)),bind(C,$fot(X_14019))]]) ).
cnf(refute_0_4,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ cong(X_14016,X_14017,X_14016,X_14017)
| ~ cyclic(X_14016,X_14016,X_14017,X_14017)
| perp(X_14017,X_14016,X_14016,X_14017) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_14016)),bind(B,$fot(X_14016)),bind(P,$fot(X_14017)),bind(Q,$fot(X_14017))]]) ).
cnf(refute_0_6,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ cyclic(X_14014,X_14014,X_14014,X_14015)
| cyclic(X_14014,X_14014,X_14015,X_14015) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_14014)),bind(B,$fot(X_14014)),bind(C,$fot(X_14014)),bind(D,$fot(X_14015)),bind(E,$fot(X_14015))]]) ).
cnf(refute_0_8,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_9,plain,
( ~ cyclic(X_14012,X_14012,X_14013,X_14012)
| cyclic(X_14012,X_14012,X_14012,X_14013) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_14012)),bind(B,$fot(X_14012)),bind(C,$fot(X_14013)),bind(D,$fot(X_14012))]]) ).
cnf(refute_0_10,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_11,plain,
( ~ cyclic(X_14010,X_14011,X_14010,X_14010)
| cyclic(X_14010,X_14010,X_14011,X_14010) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_14010)),bind(B,$fot(X_14011)),bind(C,$fot(X_14010)),bind(D,$fot(X_14010))]]) ).
cnf(refute_0_12,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_13,plain,
( ~ cyclic(X_14009,X_14008,X_14008,X_14008)
| cyclic(X_14008,X_14009,X_14008,X_14008) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_14009)),bind(B,$fot(X_14008)),bind(C,$fot(X_14008)),bind(D,$fot(X_14008))]]) ).
cnf(refute_0_14,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_15,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_14007,X_14006),X_14007,skolemFOFtoCNF_P_1(X_14007,X_14006),X_14006)
| cyclic(X_14007,X_14006,X_14006,X_14006) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_14007)),bind(B,$fot(X_14006)),bind(C,$fot(X_14006)),bind(D,$fot(X_14006)),bind(O,$fot(skolemFOFtoCNF_P_1(X_14007,X_14006)))]]) ).
cnf(refute_0_16,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_17,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_7100,X_7099),X_7100,X_7099)
| cong(skolemFOFtoCNF_P_1(X_7100,X_7099),X_7100,skolemFOFtoCNF_P_1(X_7100,X_7099),X_7099) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_P_1(X_7100,X_7099))),bind(B,$fot(X_7100)),bind(C,$fot(X_7099))]]) ).
cnf(refute_0_18,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_19,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_20,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_21,plain,
( ~ coll(X_721,X_721,X_720)
| coll(X_721,X_720,X_721) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_721)),bind(B,$fot(X_721)),bind(C,$fot(X_720))]]) ).
cnf(refute_0_22,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_23,plain,
( ~ coll(X_717,X_718,X_718)
| coll(X_718,X_718,X_717) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_717)),bind(B,$fot(X_718)),bind(C,$fot(X_718)),bind(D,$fot(X_718))]]) ).
cnf(refute_0_24,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_25,plain,
( ~ para(X_712,X_713,X_712,X_713)
| coll(X_712,X_713,X_713) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_712)),bind(B,$fot(X_713)),bind(C,$fot(X_713))]]) ).
cnf(refute_0_26,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_27,plain,
( ~ eqangle(X_710,X_711,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_710,X_711,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_710,X_711,X_710,X_711) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_710)),bind(B,$fot(X_711)),bind(C,$fot(X_710)),bind(D,$fot(X_711)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_28,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_29,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_30,plain,
( ~ cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_31,plain,
( ~ cong(skolemFOFtoCNF_S,skolemFOFtoCNF_D,skolemFOFtoCNF_S,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_32,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_33,plain,
( ~ cong(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_S,skolemFOFtoCNF_D)
| cong(skolemFOFtoCNF_S,skolemFOFtoCNF_D,skolemFOFtoCNF_S,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(skolemFOFtoCNF_S)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_S)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_34,plain,
midp(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_35,plain,
( ~ midp(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| cong(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_S,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_S)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_36,plain,
cong(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_S,skolemFOFtoCNF_D),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
cong(skolemFOFtoCNF_S,skolemFOFtoCNF_D,skolemFOFtoCNF_S,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_S,skolemFOFtoCNF_A,skolemFOFtoCNF_S,skolemFOFtoCNF_D) )],[refute_0_36,refute_0_33]) ).
cnf(refute_0_38,plain,
cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_S,skolemFOFtoCNF_D,skolemFOFtoCNF_S,skolemFOFtoCNF_A) )],[refute_0_37,refute_0_31]) ).
cnf(refute_0_39,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_38,refute_0_30]) ).
cnf(refute_0_40,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_39,refute_0_29]) ).
cnf(refute_0_41,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_42,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_44,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154) ),
inference(subst,[],[refute_0_43:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(X_153)),bind(Q,$fot(X_154))]]) ).
cnf(refute_0_45,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_44]) ).
cnf(refute_0_46,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_708,X_709,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_708,X_709),
inference(subst,[],[refute_0_45:[bind(X_153,$fot(X_708)),bind(X_154,$fot(X_709))]]) ).
cnf(refute_0_47,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_48,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_708,X_709,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_708,X_709)
| eqangle(X_708,X_709,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_708,X_709,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_47:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_708)),bind(D,$fot(X_709)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_708)),bind(V,$fot(X_709))]]) ).
cnf(refute_0_49,plain,
eqangle(X_708,X_709,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_708,X_709,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_708,X_709,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_708,X_709) )],[refute_0_46,refute_0_48]) ).
cnf(refute_0_50,plain,
eqangle(X_710,X_711,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_710,X_711,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_49:[bind(X_708,$fot(X_710)),bind(X_709,$fot(X_711))]]) ).
cnf(refute_0_51,plain,
para(X_710,X_711,X_710,X_711),
inference(resolve,[$cnf( eqangle(X_710,X_711,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_710,X_711,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_50,refute_0_27]) ).
cnf(refute_0_52,plain,
para(X_712,X_713,X_712,X_713),
inference(subst,[],[refute_0_51:[bind(X_710,$fot(X_712)),bind(X_711,$fot(X_713))]]) ).
cnf(refute_0_53,plain,
coll(X_712,X_713,X_713),
inference(resolve,[$cnf( para(X_712,X_713,X_712,X_713) )],[refute_0_52,refute_0_25]) ).
cnf(refute_0_54,plain,
coll(X_717,X_718,X_718),
inference(subst,[],[refute_0_53:[bind(X_712,$fot(X_717)),bind(X_713,$fot(X_718))]]) ).
cnf(refute_0_55,plain,
coll(X_718,X_718,X_717),
inference(resolve,[$cnf( coll(X_717,X_718,X_718) )],[refute_0_54,refute_0_23]) ).
cnf(refute_0_56,plain,
coll(X_721,X_721,X_720),
inference(subst,[],[refute_0_55:[bind(X_717,$fot(X_720)),bind(X_718,$fot(X_721))]]) ).
cnf(refute_0_57,plain,
coll(X_721,X_720,X_721),
inference(resolve,[$cnf( coll(X_721,X_721,X_720) )],[refute_0_56,refute_0_21]) ).
cnf(refute_0_58,plain,
coll(D,D,D),
inference(subst,[],[refute_0_57:[bind(X_720,$fot(D)),bind(X_721,$fot(D))]]) ).
cnf(refute_0_59,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_58,refute_0_19]) ).
cnf(refute_0_60,plain,
( ~ midp(X_7081,X_7080,X_7080)
| midp(skolemFOFtoCNF_P_1(X_7080,Q),X_7080,Q) ),
inference(subst,[],[refute_0_59:[bind(D,$fot(X_7080)),bind(N,$fot(X_7081))]]) ).
cnf(refute_0_61,plain,
para(X_6911,X_6912,X_6911,X_6912),
inference(subst,[],[refute_0_51:[bind(X_710,$fot(X_6911)),bind(X_711,$fot(X_6912))]]) ).
cnf(refute_0_62,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_63,plain,
( ~ midp(X_6913,X_6911,X_6911)
| ~ para(X_6911,X_6912,X_6911,X_6912)
| midp(X_6913,X_6912,X_6912) ),
inference(subst,[],[refute_0_62:[bind(A,$fot(X_6911)),bind(B,$fot(X_6911)),bind(C,$fot(X_6912)),bind(D,$fot(X_6912)),bind(M,$fot(X_6913))]]) ).
cnf(refute_0_64,plain,
( ~ midp(X_6913,X_6911,X_6911)
| midp(X_6913,X_6912,X_6912) ),
inference(resolve,[$cnf( para(X_6911,X_6912,X_6911,X_6912) )],[refute_0_61,refute_0_63]) ).
cnf(refute_0_65,plain,
( ~ midp(X_7079,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_7079,X_6912,X_6912) ),
inference(subst,[],[refute_0_64:[bind(X_6911,$fot(skolemFOFtoCNF_B_1)),bind(X_6913,$fot(X_7079))]]) ).
cnf(refute_0_66,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_67,plain,
( ~ coll(X_7078,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(X_7078,skolemFOFtoCNF_B_1,X_7078,skolemFOFtoCNF_B_1)
| midp(X_7078,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(X_7078)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_68,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_69,plain,
( ~ cong(X_7075,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_7075)
| cong(X_7075,skolemFOFtoCNF_B_1,X_7075,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_68:[bind(A,$fot(X_7075)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_7075))]]) ).
cnf(refute_0_70,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_7071,X_7071,skolemFOFtoCNF_B_1)
| cong(X_7071,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_7071) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_7071)),bind(C,$fot(X_7071)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_71,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_7067,skolemFOFtoCNF_B_1,X_7067)
| cong(skolemFOFtoCNF_B_1,X_7067,X_7067,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_68:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_7067)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_7067))]]) ).
cnf(refute_0_72,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_7065,X_7065)
| cong(skolemFOFtoCNF_B_1,X_7065,skolemFOFtoCNF_B_1,X_7065) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_7065)),bind(C,$fot(X_7065))]]) ).
cnf(refute_0_73,plain,
( ~ midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)
| midp(skolemFOFtoCNF_B_1,X_6912,X_6912) ),
inference(subst,[],[refute_0_64:[bind(X_6911,$fot(skolemFOFtoCNF_Q_3)),bind(X_6913,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_74,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(C,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_75,plain,
midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_76,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_77,plain,
( ~ midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_78,plain,
midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_75,refute_0_77]) ).
cnf(refute_0_79,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_80,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_81,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_82,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_83,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_84,plain,
( ~ cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_B_1)
| circle(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)))))]]) ).
cnf(refute_0_85,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))))),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_86,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)))))]]) ).
cnf(refute_0_87,plain,
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_88,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_87:[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_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)))),bind(N,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))))]]) ).
cnf(refute_0_89,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_87:[bind(A,$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_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),bind(N,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)))]]) ).
cnf(refute_0_90,plain,
( ~ midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_87:[bind(A,$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_Q_3)),bind(N,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_91,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_78,refute_0_90]) ).
cnf(refute_0_92,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_91,refute_0_89]) ).
cnf(refute_0_93,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_92,refute_0_88]) ).
cnf(refute_0_94,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_93,refute_0_86]) ).
cnf(refute_0_95,plain,
cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_94,refute_0_85]) ).
cnf(refute_0_96,plain,
circle(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_B_1) )],[refute_0_95,refute_0_84]) ).
cnf(refute_0_97,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_98,plain,
( ~ coll(X_4729,skolemFOFtoCNF_I,C)
| ~ coll(X_4729,skolemFOFtoCNF_I,X_4730)
| coll(C,X_4730,X_4729) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_4729)),bind(B,$fot(skolemFOFtoCNF_I)),bind(D,$fot(X_4730))]]) ).
cnf(refute_0_99,plain,
( ~ coll(X_4681,skolemFOFtoCNF_A,C)
| ~ coll(X_4681,skolemFOFtoCNF_A,skolemFOFtoCNF_I)
| coll(C,skolemFOFtoCNF_I,X_4681) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_4681)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_100,plain,
( ~ coll(skolemFOFtoCNF_I,X_4619,C)
| ~ coll(skolemFOFtoCNF_I,X_4619,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(X_4619)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_101,plain,
( ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_102,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_I)
| coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_I)),bind(D,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_103,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_104,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_105,plain,
( ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_104:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_106,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_103,refute_0_105]) ).
cnf(refute_0_107,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_108,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_I),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_D) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_I) )],[refute_0_108,refute_0_102]) ).
cnf(refute_0_110,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_I),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_A) )],[refute_0_109,refute_0_101]) ).
cnf(refute_0_111,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4616)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_I)
| coll(skolemFOFtoCNF_I,X_4616,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_I)),bind(D,$fot(X_4616))]]) ).
cnf(refute_0_112,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4616)
| coll(skolemFOFtoCNF_I,X_4616,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_I) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4616),
inference(subst,[],[refute_0_55:[bind(X_717,$fot(X_4616)),bind(X_718,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_114,plain,
coll(skolemFOFtoCNF_I,X_4616,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4616) )],[refute_0_113,refute_0_112]) ).
cnf(refute_0_115,plain,
coll(skolemFOFtoCNF_I,X_4619,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_114:[bind(X_4616,$fot(X_4619))]]) ).
cnf(refute_0_116,plain,
( ~ coll(skolemFOFtoCNF_I,X_4619,C)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_I) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,X_4619,skolemFOFtoCNF_A) )],[refute_0_115,refute_0_100]) ).
cnf(refute_0_117,plain,
coll(X_4614,X_4614,X_4615),
inference(subst,[],[refute_0_55:[bind(X_717,$fot(X_4615)),bind(X_718,$fot(X_4614))]]) ).
cnf(refute_0_118,plain,
( ~ coll(X_4614,X_4614,X_4615)
| ~ coll(X_4614,X_4614,X_4616)
| coll(X_4615,X_4616,X_4614) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_4614)),bind(B,$fot(X_4614)),bind(C,$fot(X_4615)),bind(D,$fot(X_4616))]]) ).
cnf(refute_0_119,plain,
( ~ coll(X_4614,X_4614,X_4616)
| coll(X_4615,X_4616,X_4614) ),
inference(resolve,[$cnf( coll(X_4614,X_4614,X_4615) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
coll(X_4614,X_4614,X_4616),
inference(subst,[],[refute_0_55:[bind(X_717,$fot(X_4616)),bind(X_718,$fot(X_4614))]]) ).
cnf(refute_0_121,plain,
coll(X_4615,X_4616,X_4614),
inference(resolve,[$cnf( coll(X_4614,X_4614,X_4616) )],[refute_0_120,refute_0_119]) ).
cnf(refute_0_122,plain,
coll(skolemFOFtoCNF_I,X_4619,C),
inference(subst,[],[refute_0_121:[bind(X_4614,$fot(C)),bind(X_4615,$fot(skolemFOFtoCNF_I)),bind(X_4616,$fot(X_4619))]]) ).
cnf(refute_0_123,plain,
coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_I),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,X_4619,C) )],[refute_0_122,refute_0_116]) ).
cnf(refute_0_124,plain,
coll(X_4681,skolemFOFtoCNF_A,skolemFOFtoCNF_I),
inference(subst,[],[refute_0_123:[bind(C,$fot(X_4681))]]) ).
cnf(refute_0_125,plain,
( ~ coll(X_4681,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_I,X_4681) ),
inference(resolve,[$cnf( coll(X_4681,skolemFOFtoCNF_A,skolemFOFtoCNF_I) )],[refute_0_124,refute_0_99]) ).
cnf(refute_0_126,plain,
coll(X_4681,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_121:[bind(X_4614,$fot(C)),bind(X_4615,$fot(X_4681)),bind(X_4616,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_127,plain,
coll(C,skolemFOFtoCNF_I,X_4681),
inference(resolve,[$cnf( coll(X_4681,skolemFOFtoCNF_A,C) )],[refute_0_126,refute_0_125]) ).
cnf(refute_0_128,plain,
coll(X_4729,skolemFOFtoCNF_I,X_4730),
inference(subst,[],[refute_0_127:[bind(C,$fot(X_4729)),bind(X_4681,$fot(X_4730))]]) ).
cnf(refute_0_129,plain,
( ~ coll(X_4729,skolemFOFtoCNF_I,C)
| coll(C,X_4730,X_4729) ),
inference(resolve,[$cnf( coll(X_4729,skolemFOFtoCNF_I,X_4730) )],[refute_0_128,refute_0_98]) ).
cnf(refute_0_130,plain,
( ~ coll(X_4712,skolemFOFtoCNF_S,C)
| ~ coll(X_4712,skolemFOFtoCNF_S,X_4713)
| coll(C,X_4713,X_4712) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_4712)),bind(B,$fot(skolemFOFtoCNF_S)),bind(D,$fot(X_4713))]]) ).
cnf(refute_0_131,plain,
( ~ coll(X_4632,skolemFOFtoCNF_J,C)
| ~ coll(X_4632,skolemFOFtoCNF_J,skolemFOFtoCNF_S)
| coll(C,skolemFOFtoCNF_S,X_4632) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_4632)),bind(B,$fot(skolemFOFtoCNF_J)),bind(D,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_132,plain,
( ~ coll(skolemFOFtoCNF_J,X_4618,skolemFOFtoCNF_S)
| coll(X_4618,skolemFOFtoCNF_J,skolemFOFtoCNF_S) ),
inference(subst,[],[refute_0_104:[bind(A,$fot(skolemFOFtoCNF_J)),bind(B,$fot(X_4618)),bind(C,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_133,plain,
( ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S)
| coll(skolemFOFtoCNF_S,skolemFOFtoCNF_S,skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_J)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(C,$fot(skolemFOFtoCNF_S)),bind(D,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_134,plain,
midp(skolemFOFtoCNF_J,skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_135,plain,
( ~ midp(skolemFOFtoCNF_J,skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3)
| midp(skolemFOFtoCNF_J,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(skolemFOFtoCNF_S)),bind(M,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_136,plain,
midp(skolemFOFtoCNF_J,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_J,skolemFOFtoCNF_S,skolemFOFtoCNF_Q_3) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_138,plain,
( ~ midp(skolemFOFtoCNF_J,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S)
| coll(skolemFOFtoCNF_J,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S) ),
inference(subst,[],[refute_0_137:[bind(A,$fot(skolemFOFtoCNF_J)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(C,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_139,plain,
coll(skolemFOFtoCNF_J,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_J,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S) )],[refute_0_136,refute_0_138]) ).
cnf(refute_0_140,plain,
coll(skolemFOFtoCNF_S,skolemFOFtoCNF_S,skolemFOFtoCNF_J),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_S) )],[refute_0_139,refute_0_133]) ).
cnf(refute_0_141,plain,
( ~ coll(skolemFOFtoCNF_S,skolemFOFtoCNF_S,X_4616)
| ~ coll(skolemFOFtoCNF_S,skolemFOFtoCNF_S,skolemFOFtoCNF_J)
| coll(skolemFOFtoCNF_J,X_4616,skolemFOFtoCNF_S) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_S)),bind(B,$fot(skolemFOFtoCNF_S)),bind(C,$fot(skolemFOFtoCNF_J)),bind(D,$fot(X_4616))]]) ).
cnf(refute_0_142,plain,
( ~ coll(skolemFOFtoCNF_S,skolemFOFtoCNF_S,X_4616)
| coll(skolemFOFtoCNF_J,X_4616,skolemFOFtoCNF_S) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_S,skolemFOFtoCNF_S,skolemFOFtoCNF_J) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
coll(skolemFOFtoCNF_S,skolemFOFtoCNF_S,X_4616),
inference(subst,[],[refute_0_55:[bind(X_717,$fot(X_4616)),bind(X_718,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_144,plain,
coll(skolemFOFtoCNF_J,X_4616,skolemFOFtoCNF_S),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_S,skolemFOFtoCNF_S,X_4616) )],[refute_0_143,refute_0_142]) ).
cnf(refute_0_145,plain,
coll(skolemFOFtoCNF_J,X_4618,skolemFOFtoCNF_S),
inference(subst,[],[refute_0_144:[bind(X_4616,$fot(X_4618))]]) ).
cnf(refute_0_146,plain,
coll(X_4618,skolemFOFtoCNF_J,skolemFOFtoCNF_S),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,X_4618,skolemFOFtoCNF_S) )],[refute_0_145,refute_0_132]) ).
cnf(refute_0_147,plain,
coll(X_4632,skolemFOFtoCNF_J,skolemFOFtoCNF_S),
inference(subst,[],[refute_0_146:[bind(X_4618,$fot(X_4632))]]) ).
cnf(refute_0_148,plain,
( ~ coll(X_4632,skolemFOFtoCNF_J,C)
| coll(C,skolemFOFtoCNF_S,X_4632) ),
inference(resolve,[$cnf( coll(X_4632,skolemFOFtoCNF_J,skolemFOFtoCNF_S) )],[refute_0_147,refute_0_131]) ).
cnf(refute_0_149,plain,
coll(X_4632,skolemFOFtoCNF_J,C),
inference(subst,[],[refute_0_121:[bind(X_4614,$fot(C)),bind(X_4615,$fot(X_4632)),bind(X_4616,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_150,plain,
coll(C,skolemFOFtoCNF_S,X_4632),
inference(resolve,[$cnf( coll(X_4632,skolemFOFtoCNF_J,C) )],[refute_0_149,refute_0_148]) ).
cnf(refute_0_151,plain,
coll(X_4712,skolemFOFtoCNF_S,X_4713),
inference(subst,[],[refute_0_150:[bind(C,$fot(X_4712)),bind(X_4632,$fot(X_4713))]]) ).
cnf(refute_0_152,plain,
( ~ coll(X_4712,skolemFOFtoCNF_S,C)
| coll(C,X_4713,X_4712) ),
inference(resolve,[$cnf( coll(X_4712,skolemFOFtoCNF_S,X_4713) )],[refute_0_151,refute_0_130]) ).
cnf(refute_0_153,plain,
( ~ coll(X_4707,skolemFOFtoCNF_A,C)
| ~ coll(X_4707,skolemFOFtoCNF_A,X_4708)
| coll(C,X_4708,X_4707) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_4707)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_4708))]]) ).
cnf(refute_0_154,plain,
( ~ coll(X_4706,skolemFOFtoCNF_I,C)
| ~ coll(X_4706,skolemFOFtoCNF_I,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,X_4706) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_4706)),bind(B,$fot(skolemFOFtoCNF_I)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_155,plain,
( ~ coll(skolemFOFtoCNF_A,X_4705,C)
| ~ coll(skolemFOFtoCNF_A,X_4705,skolemFOFtoCNF_I)
| coll(C,skolemFOFtoCNF_I,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_4705)),bind(D,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_156,plain,
( ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,X_4616)
| ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_4616,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_I)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_4616))]]) ).
cnf(refute_0_157,plain,
( ~ coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,X_4616)
| coll(skolemFOFtoCNF_A,X_4616,skolemFOFtoCNF_I) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,skolemFOFtoCNF_A) )],[refute_0_109,refute_0_156]) ).
cnf(refute_0_158,plain,
coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,X_4616),
inference(subst,[],[refute_0_55:[bind(X_717,$fot(X_4616)),bind(X_718,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_159,plain,
coll(skolemFOFtoCNF_A,X_4616,skolemFOFtoCNF_I),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_I,skolemFOFtoCNF_I,X_4616) )],[refute_0_158,refute_0_157]) ).
cnf(refute_0_160,plain,
coll(skolemFOFtoCNF_A,X_4705,skolemFOFtoCNF_I),
inference(subst,[],[refute_0_159:[bind(X_4616,$fot(X_4705))]]) ).
cnf(refute_0_161,plain,
( ~ coll(skolemFOFtoCNF_A,X_4705,C)
| coll(C,skolemFOFtoCNF_I,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_4705,skolemFOFtoCNF_I) )],[refute_0_160,refute_0_155]) ).
cnf(refute_0_162,plain,
( ~ coll(X_4699,skolemFOFtoCNF_J,C)
| ~ coll(X_4699,skolemFOFtoCNF_J,X_4700)
| coll(C,X_4700,X_4699) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_4699)),bind(B,$fot(skolemFOFtoCNF_J)),bind(D,$fot(X_4700))]]) ).
cnf(refute_0_163,plain,
( ~ coll(X_4698,skolemFOFtoCNF_M_3,C)
| ~ coll(X_4698,skolemFOFtoCNF_M_3,skolemFOFtoCNF_J)
| coll(C,skolemFOFtoCNF_J,X_4698) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_4698)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_164,plain,
( ~ coll(skolemFOFtoCNF_J,X_4640,C)
| ~ coll(skolemFOFtoCNF_J,X_4640,skolemFOFtoCNF_M_3)
| coll(C,skolemFOFtoCNF_M_3,skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_J)),bind(B,$fot(X_4640)),bind(D,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_165,plain,
coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_J,skolemFOFtoCNF_M_3),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_166,plain,
( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_J,skolemFOFtoCNF_M_3)
| coll(skolemFOFtoCNF_J,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_104:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_J)),bind(C,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_167,plain,
coll(skolemFOFtoCNF_J,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_J,skolemFOFtoCNF_M_3) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
( ~ coll(skolemFOFtoCNF_J,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3)
| coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_J) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_J)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_169,plain,
coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_J),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
( ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,X_4616)
| ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_J)
| coll(skolemFOFtoCNF_J,X_4616,skolemFOFtoCNF_M_3) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_J)),bind(D,$fot(X_4616))]]) ).
cnf(refute_0_171,plain,
( ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,X_4616)
| coll(skolemFOFtoCNF_J,X_4616,skolemFOFtoCNF_M_3) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_J) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,X_4616),
inference(subst,[],[refute_0_55:[bind(X_717,$fot(X_4616)),bind(X_718,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_173,plain,
coll(skolemFOFtoCNF_J,X_4616,skolemFOFtoCNF_M_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,X_4616) )],[refute_0_172,refute_0_171]) ).
cnf(refute_0_174,plain,
coll(skolemFOFtoCNF_J,X_4640,skolemFOFtoCNF_M_3),
inference(subst,[],[refute_0_173:[bind(X_4616,$fot(X_4640))]]) ).
cnf(refute_0_175,plain,
( ~ coll(skolemFOFtoCNF_J,X_4640,C)
| coll(C,skolemFOFtoCNF_M_3,skolemFOFtoCNF_J) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,X_4640,skolemFOFtoCNF_M_3) )],[refute_0_174,refute_0_164]) ).
cnf(refute_0_176,plain,
coll(skolemFOFtoCNF_J,X_4640,C),
inference(subst,[],[refute_0_121:[bind(X_4614,$fot(C)),bind(X_4615,$fot(skolemFOFtoCNF_J)),bind(X_4616,$fot(X_4640))]]) ).
cnf(refute_0_177,plain,
coll(C,skolemFOFtoCNF_M_3,skolemFOFtoCNF_J),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_J,X_4640,C) )],[refute_0_176,refute_0_175]) ).
cnf(refute_0_178,plain,
coll(X_4698,skolemFOFtoCNF_M_3,skolemFOFtoCNF_J),
inference(subst,[],[refute_0_177:[bind(C,$fot(X_4698))]]) ).
cnf(refute_0_179,plain,
( ~ coll(X_4698,skolemFOFtoCNF_M_3,C)
| coll(C,skolemFOFtoCNF_J,X_4698) ),
inference(resolve,[$cnf( coll(X_4698,skolemFOFtoCNF_M_3,skolemFOFtoCNF_J) )],[refute_0_178,refute_0_163]) ).
cnf(refute_0_180,plain,
( ~ coll(X_4696,skolemFOFtoCNF_Q_3,C)
| ~ coll(X_4696,skolemFOFtoCNF_Q_3,X_4697)
| coll(C,X_4697,X_4696) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_4696)),bind(B,$fot(skolemFOFtoCNF_Q_3)),bind(D,$fot(X_4697))]]) ).
cnf(refute_0_181,plain,
( ~ coll(X_4673,skolemFOFtoCNF_B_1,C)
| ~ coll(X_4673,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3)
| coll(C,skolemFOFtoCNF_Q_3,X_4673) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_4673)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_182,plain,
( ~ coll(skolemFOFtoCNF_Q_3,X_4622,C)
| ~ coll(skolemFOFtoCNF_Q_3,X_4622,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(X_4622)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_183,plain,
( ~ coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_184,plain,
( ~ midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_137:[bind(A,$fot(skolemFOFtoCNF_Q_3)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_185,plain,
coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_75,refute_0_184]) ).
cnf(refute_0_186,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_185,refute_0_183]) ).
cnf(refute_0_187,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4616)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3)
| coll(skolemFOFtoCNF_Q_3,X_4616,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_Q_3)),bind(D,$fot(X_4616))]]) ).
cnf(refute_0_188,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4616)
| coll(skolemFOFtoCNF_Q_3,X_4616,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4616),
inference(subst,[],[refute_0_55:[bind(X_717,$fot(X_4616)),bind(X_718,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_190,plain,
coll(skolemFOFtoCNF_Q_3,X_4616,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_4616) )],[refute_0_189,refute_0_188]) ).
cnf(refute_0_191,plain,
coll(skolemFOFtoCNF_Q_3,X_4622,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_190:[bind(X_4616,$fot(X_4622))]]) ).
cnf(refute_0_192,plain,
( ~ coll(skolemFOFtoCNF_Q_3,X_4622,C)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,X_4622,skolemFOFtoCNF_B_1) )],[refute_0_191,refute_0_182]) ).
cnf(refute_0_193,plain,
coll(skolemFOFtoCNF_Q_3,X_4622,C),
inference(subst,[],[refute_0_121:[bind(X_4614,$fot(C)),bind(X_4615,$fot(skolemFOFtoCNF_Q_3)),bind(X_4616,$fot(X_4622))]]) ).
cnf(refute_0_194,plain,
coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_Q_3,X_4622,C) )],[refute_0_193,refute_0_192]) ).
cnf(refute_0_195,plain,
coll(X_4673,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3),
inference(subst,[],[refute_0_194:[bind(C,$fot(X_4673))]]) ).
cnf(refute_0_196,plain,
( ~ coll(X_4673,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_Q_3,X_4673) ),
inference(resolve,[$cnf( coll(X_4673,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3) )],[refute_0_195,refute_0_181]) ).
cnf(refute_0_197,plain,
coll(X_4673,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_121:[bind(X_4614,$fot(C)),bind(X_4615,$fot(X_4673)),bind(X_4616,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_198,plain,
coll(C,skolemFOFtoCNF_Q_3,X_4673),
inference(resolve,[$cnf( coll(X_4673,skolemFOFtoCNF_B_1,C) )],[refute_0_197,refute_0_196]) ).
cnf(refute_0_199,plain,
coll(X_4696,skolemFOFtoCNF_Q_3,X_4697),
inference(subst,[],[refute_0_198:[bind(C,$fot(X_4696)),bind(X_4673,$fot(X_4697))]]) ).
cnf(refute_0_200,plain,
( ~ coll(X_4696,skolemFOFtoCNF_Q_3,C)
| coll(C,X_4697,X_4696) ),
inference(resolve,[$cnf( coll(X_4696,skolemFOFtoCNF_Q_3,X_4697) )],[refute_0_199,refute_0_180]) ).
cnf(refute_0_201,plain,
coll(X_4696,skolemFOFtoCNF_Q_3,C),
inference(subst,[],[refute_0_121:[bind(X_4614,$fot(C)),bind(X_4615,$fot(X_4696)),bind(X_4616,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_202,plain,
coll(C,X_4697,X_4696),
inference(resolve,[$cnf( coll(X_4696,skolemFOFtoCNF_Q_3,C) )],[refute_0_201,refute_0_200]) ).
cnf(refute_0_203,plain,
coll(X_4698,skolemFOFtoCNF_M_3,C),
inference(subst,[],[refute_0_202:[bind(C,$fot(X_4698)),bind(X_4696,$fot(C)),bind(X_4697,$fot(skolemFOFtoCNF_M_3))]]) ).
cnf(refute_0_204,plain,
coll(C,skolemFOFtoCNF_J,X_4698),
inference(resolve,[$cnf( coll(X_4698,skolemFOFtoCNF_M_3,C) )],[refute_0_203,refute_0_179]) ).
cnf(refute_0_205,plain,
coll(X_4699,skolemFOFtoCNF_J,X_4700),
inference(subst,[],[refute_0_204:[bind(C,$fot(X_4699)),bind(X_4698,$fot(X_4700))]]) ).
cnf(refute_0_206,plain,
( ~ coll(X_4699,skolemFOFtoCNF_J,C)
| coll(C,X_4700,X_4699) ),
inference(resolve,[$cnf( coll(X_4699,skolemFOFtoCNF_J,X_4700) )],[refute_0_205,refute_0_162]) ).
cnf(refute_0_207,plain,
coll(X_4699,skolemFOFtoCNF_J,C),
inference(subst,[],[refute_0_202:[bind(C,$fot(X_4699)),bind(X_4696,$fot(C)),bind(X_4697,$fot(skolemFOFtoCNF_J))]]) ).
cnf(refute_0_208,plain,
coll(C,X_4700,X_4699),
inference(resolve,[$cnf( coll(X_4699,skolemFOFtoCNF_J,C) )],[refute_0_207,refute_0_206]) ).
cnf(refute_0_209,plain,
coll(skolemFOFtoCNF_A,X_4705,C),
inference(subst,[],[refute_0_208:[bind(C,$fot(skolemFOFtoCNF_A)),bind(X_4699,$fot(C)),bind(X_4700,$fot(X_4705))]]) ).
cnf(refute_0_210,plain,
coll(C,skolemFOFtoCNF_I,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_4705,C) )],[refute_0_209,refute_0_161]) ).
cnf(refute_0_211,plain,
coll(X_4706,skolemFOFtoCNF_I,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_210:[bind(C,$fot(X_4706))]]) ).
cnf(refute_0_212,plain,
( ~ coll(X_4706,skolemFOFtoCNF_I,C)
| coll(C,skolemFOFtoCNF_A,X_4706) ),
inference(resolve,[$cnf( coll(X_4706,skolemFOFtoCNF_I,skolemFOFtoCNF_A) )],[refute_0_211,refute_0_154]) ).
cnf(refute_0_213,plain,
coll(X_4706,skolemFOFtoCNF_I,C),
inference(subst,[],[refute_0_208:[bind(C,$fot(X_4706)),bind(X_4699,$fot(C)),bind(X_4700,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_214,plain,
coll(C,skolemFOFtoCNF_A,X_4706),
inference(resolve,[$cnf( coll(X_4706,skolemFOFtoCNF_I,C) )],[refute_0_213,refute_0_212]) ).
cnf(refute_0_215,plain,
coll(X_4707,skolemFOFtoCNF_A,X_4708),
inference(subst,[],[refute_0_214:[bind(C,$fot(X_4707)),bind(X_4706,$fot(X_4708))]]) ).
cnf(refute_0_216,plain,
( ~ coll(X_4707,skolemFOFtoCNF_A,C)
| coll(C,X_4708,X_4707) ),
inference(resolve,[$cnf( coll(X_4707,skolemFOFtoCNF_A,X_4708) )],[refute_0_215,refute_0_153]) ).
cnf(refute_0_217,plain,
coll(X_4707,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_208:[bind(C,$fot(X_4707)),bind(X_4699,$fot(C)),bind(X_4700,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_218,plain,
coll(C,X_4708,X_4707),
inference(resolve,[$cnf( coll(X_4707,skolemFOFtoCNF_A,C) )],[refute_0_217,refute_0_216]) ).
cnf(refute_0_219,plain,
coll(X_4712,skolemFOFtoCNF_S,C),
inference(subst,[],[refute_0_218:[bind(C,$fot(X_4712)),bind(X_4707,$fot(C)),bind(X_4708,$fot(skolemFOFtoCNF_S))]]) ).
cnf(refute_0_220,plain,
coll(C,X_4713,X_4712),
inference(resolve,[$cnf( coll(X_4712,skolemFOFtoCNF_S,C) )],[refute_0_219,refute_0_152]) ).
cnf(refute_0_221,plain,
coll(X_4729,skolemFOFtoCNF_I,C),
inference(subst,[],[refute_0_220:[bind(C,$fot(X_4729)),bind(X_4712,$fot(C)),bind(X_4713,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_222,plain,
coll(C,X_4730,X_4729),
inference(resolve,[$cnf( coll(X_4729,skolemFOFtoCNF_I,C) )],[refute_0_221,refute_0_129]) ).
cnf(refute_0_223,plain,
coll(O,A,C),
inference(subst,[],[refute_0_222:[bind(C,$fot(O)),bind(X_4729,$fot(C)),bind(X_4730,$fot(A))]]) ).
cnf(refute_0_224,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_223,refute_0_97]) ).
cnf(refute_0_225,plain,
( ~ circle(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_224:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)))))]]) ).
cnf(refute_0_226,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3))),skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_96,refute_0_225]) ).
cnf(refute_0_227,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_226,refute_0_82]) ).
cnf(refute_0_228,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_227,refute_0_80]) ).
cnf(refute_0_229,plain,
( ~ midp(X_7062,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,X_7062,skolemFOFtoCNF_B_1,X_7062) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(X_7062))]]) ).
cnf(refute_0_230,plain,
( ~ midp(X_7062,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,X_7062,skolemFOFtoCNF_B_1,X_7062) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
( ~ midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3) ),
inference(subst,[],[refute_0_230:[bind(X_7062,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_232,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_78,refute_0_231]) ).
cnf(refute_0_233,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3)
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3) )],[refute_0_232,refute_0_74]) ).
cnf(refute_0_234,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),
inference(subst,[],[refute_0_222:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_4729,$fot(skolemFOFtoCNF_Q_3)),bind(X_4730,$fot(skolemFOFtoCNF_Q_3))]]) ).
cnf(refute_0_235,plain,
midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3) )],[refute_0_234,refute_0_233]) ).
cnf(refute_0_236,plain,
midp(skolemFOFtoCNF_B_1,X_6912,X_6912),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_Q_3,skolemFOFtoCNF_Q_3) )],[refute_0_235,refute_0_73]) ).
cnf(refute_0_237,plain,
midp(skolemFOFtoCNF_B_1,X_7065,X_7065),
inference(subst,[],[refute_0_236:[bind(X_6912,$fot(X_7065))]]) ).
cnf(refute_0_238,plain,
cong(skolemFOFtoCNF_B_1,X_7065,skolemFOFtoCNF_B_1,X_7065),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_7065,X_7065) )],[refute_0_237,refute_0_72]) ).
cnf(refute_0_239,plain,
cong(skolemFOFtoCNF_B_1,X_7067,skolemFOFtoCNF_B_1,X_7067),
inference(subst,[],[refute_0_238:[bind(X_7065,$fot(X_7067))]]) ).
cnf(refute_0_240,plain,
cong(skolemFOFtoCNF_B_1,X_7067,X_7067,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_7067,skolemFOFtoCNF_B_1,X_7067) )],[refute_0_239,refute_0_71]) ).
cnf(refute_0_241,plain,
cong(skolemFOFtoCNF_B_1,X_7071,X_7071,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_240:[bind(X_7067,$fot(X_7071))]]) ).
cnf(refute_0_242,plain,
cong(X_7071,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_7071),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_7071,X_7071,skolemFOFtoCNF_B_1) )],[refute_0_241,refute_0_70]) ).
cnf(refute_0_243,plain,
cong(X_7075,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_7075),
inference(subst,[],[refute_0_242:[bind(X_7071,$fot(X_7075))]]) ).
cnf(refute_0_244,plain,
cong(X_7075,skolemFOFtoCNF_B_1,X_7075,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(X_7075,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_7075) )],[refute_0_243,refute_0_69]) ).
cnf(refute_0_245,plain,
cong(X_7078,skolemFOFtoCNF_B_1,X_7078,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_244:[bind(X_7075,$fot(X_7078))]]) ).
cnf(refute_0_246,plain,
( ~ coll(X_7078,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_7078,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(X_7078,skolemFOFtoCNF_B_1,X_7078,skolemFOFtoCNF_B_1) )],[refute_0_245,refute_0_67]) ).
cnf(refute_0_247,plain,
coll(X_7078,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_222:[bind(C,$fot(X_7078)),bind(X_4729,$fot(skolemFOFtoCNF_B_1)),bind(X_4730,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_248,plain,
midp(X_7078,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(X_7078,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_247,refute_0_246]) ).
cnf(refute_0_249,plain,
midp(X_7079,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_248:[bind(X_7078,$fot(X_7079))]]) ).
cnf(refute_0_250,plain,
midp(X_7079,X_6912,X_6912),
inference(resolve,[$cnf( midp(X_7079,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_249,refute_0_65]) ).
cnf(refute_0_251,plain,
midp(X_7081,X_7080,X_7080),
inference(subst,[],[refute_0_250:[bind(X_6912,$fot(X_7080)),bind(X_7079,$fot(X_7081))]]) ).
cnf(refute_0_252,plain,
midp(skolemFOFtoCNF_P_1(X_7080,Q),X_7080,Q),
inference(resolve,[$cnf( midp(X_7081,X_7080,X_7080) )],[refute_0_251,refute_0_60]) ).
cnf(refute_0_253,plain,
midp(skolemFOFtoCNF_P_1(X_7100,X_7099),X_7100,X_7099),
inference(subst,[],[refute_0_252:[bind(Q,$fot(X_7099)),bind(X_7080,$fot(X_7100))]]) ).
cnf(refute_0_254,plain,
cong(skolemFOFtoCNF_P_1(X_7100,X_7099),X_7100,skolemFOFtoCNF_P_1(X_7100,X_7099),X_7099),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_7100,X_7099),X_7100,X_7099) )],[refute_0_253,refute_0_17]) ).
cnf(refute_0_255,plain,
cong(skolemFOFtoCNF_P_1(X_14007,X_14006),X_14007,skolemFOFtoCNF_P_1(X_14007,X_14006),X_14006),
inference(subst,[],[refute_0_254:[bind(X_7099,$fot(X_14006)),bind(X_7100,$fot(X_14007))]]) ).
cnf(refute_0_256,plain,
cyclic(X_14007,X_14006,X_14006,X_14006),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_14007,X_14006),X_14007,skolemFOFtoCNF_P_1(X_14007,X_14006),X_14006) )],[refute_0_255,refute_0_15]) ).
cnf(refute_0_257,plain,
cyclic(X_14009,X_14008,X_14008,X_14008),
inference(subst,[],[refute_0_256:[bind(X_14006,$fot(X_14008)),bind(X_14007,$fot(X_14009))]]) ).
cnf(refute_0_258,plain,
cyclic(X_14008,X_14009,X_14008,X_14008),
inference(resolve,[$cnf( cyclic(X_14009,X_14008,X_14008,X_14008) )],[refute_0_257,refute_0_13]) ).
cnf(refute_0_259,plain,
cyclic(X_14010,X_14011,X_14010,X_14010),
inference(subst,[],[refute_0_258:[bind(X_14008,$fot(X_14010)),bind(X_14009,$fot(X_14011))]]) ).
cnf(refute_0_260,plain,
cyclic(X_14010,X_14010,X_14011,X_14010),
inference(resolve,[$cnf( cyclic(X_14010,X_14011,X_14010,X_14010) )],[refute_0_259,refute_0_11]) ).
cnf(refute_0_261,plain,
cyclic(X_14012,X_14012,X_14013,X_14012),
inference(subst,[],[refute_0_260:[bind(X_14010,$fot(X_14012)),bind(X_14011,$fot(X_14013))]]) ).
cnf(refute_0_262,plain,
cyclic(X_14012,X_14012,X_14012,X_14013),
inference(resolve,[$cnf( cyclic(X_14012,X_14012,X_14013,X_14012) )],[refute_0_261,refute_0_9]) ).
cnf(refute_0_263,plain,
cyclic(X_14014,X_14014,X_14014,X_14015),
inference(subst,[],[refute_0_262:[bind(X_14012,$fot(X_14014)),bind(X_14013,$fot(X_14015))]]) ).
cnf(refute_0_264,plain,
cyclic(X_14014,X_14014,X_14015,X_14015),
inference(resolve,[$cnf( cyclic(X_14014,X_14014,X_14014,X_14015) )],[refute_0_263,refute_0_7]) ).
cnf(refute_0_265,plain,
cyclic(X_14016,X_14016,X_14017,X_14017),
inference(subst,[],[refute_0_264:[bind(X_14014,$fot(X_14016)),bind(X_14015,$fot(X_14017))]]) ).
cnf(refute_0_266,plain,
( ~ cong(X_14016,X_14017,X_14016,X_14017)
| perp(X_14017,X_14016,X_14016,X_14017) ),
inference(resolve,[$cnf( cyclic(X_14016,X_14016,X_14017,X_14017) )],[refute_0_265,refute_0_5]) ).
cnf(refute_0_267,plain,
( ~ midp(X_7081,X_7080,X_7080)
| cong(X_7081,X_7080,X_7081,X_7080) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_7081)),bind(B,$fot(X_7080)),bind(C,$fot(X_7080))]]) ).
cnf(refute_0_268,plain,
cong(X_7081,X_7080,X_7081,X_7080),
inference(resolve,[$cnf( midp(X_7081,X_7080,X_7080) )],[refute_0_251,refute_0_267]) ).
cnf(refute_0_269,plain,
cong(X_14016,X_14017,X_14016,X_14017),
inference(subst,[],[refute_0_268:[bind(X_7080,$fot(X_14017)),bind(X_7081,$fot(X_14016))]]) ).
cnf(refute_0_270,plain,
perp(X_14017,X_14016,X_14016,X_14017),
inference(resolve,[$cnf( cong(X_14016,X_14017,X_14016,X_14017) )],[refute_0_269,refute_0_266]) ).
cnf(refute_0_271,plain,
perp(X_14019,X_14018,X_14018,X_14019),
inference(subst,[],[refute_0_270:[bind(X_14016,$fot(X_14018)),bind(X_14017,$fot(X_14019))]]) ).
cnf(refute_0_272,plain,
( ~ midp(M,X_14019,X_14019)
| cong(X_14019,M,X_14018,M) ),
inference(resolve,[$cnf( perp(X_14019,X_14018,X_14018,X_14019) )],[refute_0_271,refute_0_3]) ).
cnf(refute_0_273,plain,
midp(M,X_14019,X_14019),
inference(subst,[],[refute_0_250:[bind(X_6912,$fot(X_14019)),bind(X_7079,$fot(M))]]) ).
cnf(refute_0_274,plain,
cong(X_14019,M,X_14018,M),
inference(resolve,[$cnf( midp(M,X_14019,X_14019) )],[refute_0_273,refute_0_272]) ).
cnf(refute_0_275,plain,
cong(A,P,B,P),
inference(subst,[],[refute_0_274:[bind(M,$fot(P)),bind(X_14018,$fot(B)),bind(X_14019,$fot(A))]]) ).
cnf(refute_0_276,plain,
( ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(resolve,[$cnf( cong(A,P,B,P) )],[refute_0_275,refute_0_1]) ).
cnf(refute_0_277,plain,
cong(A,Q,B,Q),
inference(subst,[],[refute_0_274:[bind(M,$fot(Q)),bind(X_14018,$fot(B)),bind(X_14019,$fot(A))]]) ).
cnf(refute_0_278,plain,
perp(A,B,P,Q),
inference(resolve,[$cnf( cong(A,Q,B,Q) )],[refute_0_277,refute_0_276]) ).
cnf(refute_0_279,plain,
perp(skolemFOFtoCNF_S,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_278:[bind(A,$fot(skolemFOFtoCNF_S)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_280,plain,
$false,
inference(resolve,[$cnf( perp(skolemFOFtoCNF_S,skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_279,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO544+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.11 % Command : metis --show proof --show saturation %s
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sat Jun 18 06:43:32 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.32 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 146.70/146.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 146.70/146.90
% 146.70/146.90 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 146.70/146.93
%------------------------------------------------------------------------------