TSTP Solution File: GEO607+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO607+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n003.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 05:27:39 EDT 2022
% Result : Theorem 47.22s 47.47s
% Output : CNFRefutation 47.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 86
% Number of leaves : 29
% Syntax : Number of formulae : 403 ( 165 unt; 0 def)
% Number of atoms : 764 ( 0 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 651 ( 290 ~; 285 |; 45 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 900 ( 135 sgn 413 !; 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(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(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(ruleX10,axiom,
! [A,B,C,H] :
? [P,Q] :
( ( perp(A,H,B,C)
& perp(B,H,A,C) )
=> ( coll(P,C,B)
& perp(A,P,C,B)
& coll(Q,C,A)
& perp(B,Q,C,A) ) ) ).
fof(ruleX11,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ) ).
fof(exemplo6GDDFULL618069,conjecture,
! [A,B,C,D,E,F] :
( ( midp(C,B,A)
& perp(D,A,D,B)
& circle(E,A,C,D)
& circle(F,B,D,C) )
=> perp(E,D,D,F) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E,F] :
( ( midp(C,B,A)
& perp(D,A,D,B)
& circle(E,A,C,D)
& circle(F,B,D,C) )
=> perp(E,D,D,F) ),
inference(strip,[],[exemplo6GDDFULL618069]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E,F] :
( ( midp(C,B,A)
& perp(D,A,D,B)
& circle(E,A,C,D)
& circle(F,B,D,C) )
=> perp(E,D,D,F) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F] :
( ~ perp(E,D,D,F)
& circle(E,A,C,D)
& circle(F,B,D,C)
& midp(C,B,A)
& perp(D,A,D,B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F)
& circle(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
& circle(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
& perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[ruleD53]) ).
fof(normalize_0_4,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_6,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_8,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_10,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_12,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_14,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
circle(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_16,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(canonicalize,[],[ruleX11]) ).
fof(normalize_0_17,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(clausify,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| ? [P,Q] :
( coll(P,C,B)
& coll(Q,C,A)
& perp(A,P,C,B)
& perp(B,Q,C,A) ) ),
inference(canonicalize,[],[ruleX10]) ).
fof(normalize_0_20,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| ? [P,Q] :
( coll(P,C,B)
& coll(Q,C,A)
& perp(A,P,C,B)
& perp(B,Q,C,A) ) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B,C,H] :
( ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_Q_1(A,B,C),C,A) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) )
& ( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(B,skolemFOFtoCNF_Q_1(A,B,C),C,A) ) ),
inference(clausify,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_24,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,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_26,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_25]) ).
fof(normalize_0_27,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_26]) ).
fof(normalize_0_28,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_29,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,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_31,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_30]) ).
fof(normalize_0_32,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_33,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_32]) ).
fof(normalize_0_34,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_35,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_36,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_35]) ).
fof(normalize_0_37,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_38,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_37]) ).
fof(normalize_0_39,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_38]) ).
fof(normalize_0_40,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_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(specialize,[],[normalize_0_40]) ).
fof(normalize_0_42,plain,
perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_43,plain,
! [A,B,C,H] :
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_44,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_45,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_44]) ).
fof(normalize_0_46,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_47,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_46]) ).
fof(normalize_0_48,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_49,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_48]) ).
fof(normalize_0_50,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_51,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_50]) ).
fof(normalize_0_52,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_53,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_52]) ).
fof(normalize_0_54,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_55,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_54]) ).
fof(normalize_0_56,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_57,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_56]) ).
fof(normalize_0_58,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_59,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_58]) ).
fof(normalize_0_60,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_61,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_60]) ).
fof(normalize_0_62,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_61]) ).
fof(normalize_0_63,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_64,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_63]) ).
fof(normalize_0_65,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_66,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_65]) ).
fof(normalize_0_67,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_68,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_67]) ).
cnf(refute_0_0,plain,
~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ coll(X_1459,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),C)
| ~ coll(X_1459,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),X_1460)
| coll(C,X_1460,X_1459) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_1459)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(D,$fot(X_1460))]]) ).
cnf(refute_0_4,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ coll(X_1448,X_1449,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))
| coll(X_1448,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),X_1449) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_1448)),bind(B,$fot(X_1449)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_6,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,C)
| ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,X_1447)
| coll(C,X_1447,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1447))]]) ).
cnf(refute_0_7,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),X_1446)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,X_1446) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(C,$fot(X_1446))]]) ).
cnf(refute_0_9,plain,
( ~ coll(skolemFOFtoCNF_A,X_1444,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),X_1444) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1444)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_10,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_11,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)),skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)))),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_12,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_13,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_14,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_15,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_16,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_17,plain,
circle(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_18,plain,
( ~ circle(O,A,B,C)
| perp(skolemFOFtoCNF_P_4(A,O),A,A,O) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_19,plain,
( ~ circle(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_D)),bind(O,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_20,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_17,refute_0_19]) ).
cnf(refute_0_21,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E) )],[refute_0_20,refute_0_16]) ).
cnf(refute_0_22,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A) )],[refute_0_21,refute_0_14]) ).
cnf(refute_0_23,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| coll(skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_24,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(H,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_25,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)) )],[refute_0_22,refute_0_24]) ).
cnf(refute_0_26,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)),skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A) )],[refute_0_25,refute_0_12]) ).
cnf(refute_0_27,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)),skolemFOFtoCNF_A) )],[refute_0_26,refute_0_11]) ).
cnf(refute_0_28,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)) )],[refute_0_27,refute_0_10]) ).
cnf(refute_0_29,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),X_1396)
| ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_1396,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1396))]]) ).
cnf(refute_0_30,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),X_1396)
| coll(skolemFOFtoCNF_A,X_1396,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ coll(X_354,X_355,X_355)
| coll(X_355,X_355,X_354) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_354)),bind(B,$fot(X_355)),bind(C,$fot(X_355)),bind(D,$fot(X_355))]]) ).
cnf(refute_0_32,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_33,plain,
( ~ para(X_349,X_350,X_349,X_350)
| coll(X_349,X_350,X_350) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(X_349)),bind(B,$fot(X_350)),bind(C,$fot(X_350))]]) ).
cnf(refute_0_34,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_35,plain,
( ~ eqangle(X_347,X_348,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_347,X_348,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_347,X_348,X_347,X_348) ),
inference(subst,[],[refute_0_34:[bind(A,$fot(X_347)),bind(B,$fot(X_348)),bind(C,$fot(X_347)),bind(D,$fot(X_348)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_36,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_37,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_38,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_39,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_40,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_33]) ).
cnf(refute_0_41,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_42,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_43,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_44,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_43:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_45,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_44]) ).
cnf(refute_0_46,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_45,refute_0_41]) ).
cnf(refute_0_47,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_46,refute_0_39]) ).
cnf(refute_0_48,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_47,refute_0_37]) ).
cnf(refute_0_49,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_34:[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_50,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_52,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154) ),
inference(subst,[],[refute_0_51:[bind(A,$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,$fot(X_154))]]) ).
cnf(refute_0_53,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_50,refute_0_52]) ).
cnf(refute_0_54,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_345,X_346,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_345,X_346),
inference(subst,[],[refute_0_53:[bind(X_153,$fot(X_345)),bind(X_154,$fot(X_346))]]) ).
cnf(refute_0_55,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_56,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_345,X_346,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_345,X_346)
| eqangle(X_345,X_346,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_345,X_346,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_55:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_345)),bind(D,$fot(X_346)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_345)),bind(V,$fot(X_346))]]) ).
cnf(refute_0_57,plain,
eqangle(X_345,X_346,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_345,X_346,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_345,X_346,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_345,X_346) )],[refute_0_54,refute_0_56]) ).
cnf(refute_0_58,plain,
eqangle(X_347,X_348,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_347,X_348,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_57:[bind(X_345,$fot(X_347)),bind(X_346,$fot(X_348))]]) ).
cnf(refute_0_59,plain,
para(X_347,X_348,X_347,X_348),
inference(resolve,[$cnf( eqangle(X_347,X_348,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_347,X_348,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_58,refute_0_35]) ).
cnf(refute_0_60,plain,
para(X_349,X_350,X_349,X_350),
inference(subst,[],[refute_0_59:[bind(X_347,$fot(X_349)),bind(X_348,$fot(X_350))]]) ).
cnf(refute_0_61,plain,
coll(X_349,X_350,X_350),
inference(resolve,[$cnf( para(X_349,X_350,X_349,X_350) )],[refute_0_60,refute_0_33]) ).
cnf(refute_0_62,plain,
coll(X_354,X_355,X_355),
inference(subst,[],[refute_0_61:[bind(X_349,$fot(X_354)),bind(X_350,$fot(X_355))]]) ).
cnf(refute_0_63,plain,
coll(X_355,X_355,X_354),
inference(resolve,[$cnf( coll(X_354,X_355,X_355) )],[refute_0_62,refute_0_31]) ).
cnf(refute_0_64,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),X_1396),
inference(subst,[],[refute_0_63:[bind(X_354,$fot(X_1396)),bind(X_355,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_65,plain,
coll(skolemFOFtoCNF_A,X_1396,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),X_1396) )],[refute_0_64,refute_0_30]) ).
cnf(refute_0_66,plain,
coll(skolemFOFtoCNF_A,X_1444,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)),
inference(subst,[],[refute_0_65:[bind(X_1396,$fot(X_1444))]]) ).
cnf(refute_0_67,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),X_1444),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1444,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)) )],[refute_0_66,refute_0_9]) ).
cnf(refute_0_68,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),X_1446),
inference(subst,[],[refute_0_67:[bind(X_1444,$fot(X_1446))]]) ).
cnf(refute_0_69,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,X_1446),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),X_1446) )],[refute_0_68,refute_0_8]) ).
cnf(refute_0_70,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,X_1447),
inference(subst,[],[refute_0_69:[bind(X_1446,$fot(X_1447))]]) ).
cnf(refute_0_71,plain,
( ~ coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,C)
| coll(C,X_1447,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,X_1447) )],[refute_0_70,refute_0_6]) ).
cnf(refute_0_72,plain,
( ~ coll(X_1431,skolemFOFtoCNF_D,C)
| ~ coll(X_1431,skolemFOFtoCNF_D,X_1432)
| coll(C,X_1432,X_1431) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_1431)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_1432))]]) ).
cnf(refute_0_73,plain,
( ~ coll(X_1425,X_1426,skolemFOFtoCNF_D)
| coll(X_1425,skolemFOFtoCNF_D,X_1426) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_1425)),bind(B,$fot(X_1426)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_74,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,C)
| ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1410)
| coll(C,X_1410,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1410))]]) ).
cnf(refute_0_75,plain,
( ~ coll(skolemFOFtoCNF_D,X_1399,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1399) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_1399)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_76,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_77,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1))),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_78,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1))),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_79,plain,
perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_80,plain,
( ~ perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(H,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_81,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) )],[refute_0_81,refute_0_78]) ).
cnf(refute_0_83,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P_3(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),skolemFOFtoCNF_D) )],[refute_0_82,refute_0_77]) ).
cnf(refute_0_84,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) )],[refute_0_83,refute_0_76]) ).
cnf(refute_0_85,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1396)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,X_1396,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_1396))]]) ).
cnf(refute_0_86,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1396)
| coll(skolemFOFtoCNF_D,X_1396,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1396),
inference(subst,[],[refute_0_63:[bind(X_354,$fot(X_1396)),bind(X_355,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_88,plain,
coll(skolemFOFtoCNF_D,X_1396,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1396) )],[refute_0_87,refute_0_86]) ).
cnf(refute_0_89,plain,
coll(skolemFOFtoCNF_D,X_1399,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_88:[bind(X_1396,$fot(X_1399))]]) ).
cnf(refute_0_90,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1399),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_1399,skolemFOFtoCNF_B_1) )],[refute_0_89,refute_0_75]) ).
cnf(refute_0_91,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1410),
inference(subst,[],[refute_0_90:[bind(X_1399,$fot(X_1410))]]) ).
cnf(refute_0_92,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,C)
| coll(C,X_1410,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1410) )],[refute_0_91,refute_0_74]) ).
cnf(refute_0_93,plain,
coll(X_1394,X_1394,X_1395),
inference(subst,[],[refute_0_63:[bind(X_354,$fot(X_1395)),bind(X_355,$fot(X_1394))]]) ).
cnf(refute_0_94,plain,
( ~ coll(X_1394,X_1394,X_1395)
| ~ coll(X_1394,X_1394,X_1396)
| coll(X_1395,X_1396,X_1394) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_1394)),bind(B,$fot(X_1394)),bind(C,$fot(X_1395)),bind(D,$fot(X_1396))]]) ).
cnf(refute_0_95,plain,
( ~ coll(X_1394,X_1394,X_1396)
| coll(X_1395,X_1396,X_1394) ),
inference(resolve,[$cnf( coll(X_1394,X_1394,X_1395) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
coll(X_1394,X_1394,X_1396),
inference(subst,[],[refute_0_63:[bind(X_354,$fot(X_1396)),bind(X_355,$fot(X_1394))]]) ).
cnf(refute_0_97,plain,
coll(X_1395,X_1396,X_1394),
inference(resolve,[$cnf( coll(X_1394,X_1394,X_1396) )],[refute_0_96,refute_0_95]) ).
cnf(refute_0_98,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_97:[bind(X_1394,$fot(C)),bind(X_1395,$fot(skolemFOFtoCNF_D)),bind(X_1396,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_99,plain,
coll(C,X_1410,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,C) )],[refute_0_98,refute_0_92]) ).
cnf(refute_0_100,plain,
coll(X_1425,X_1426,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_99:[bind(C,$fot(X_1425)),bind(X_1410,$fot(X_1426))]]) ).
cnf(refute_0_101,plain,
coll(X_1425,skolemFOFtoCNF_D,X_1426),
inference(resolve,[$cnf( coll(X_1425,X_1426,skolemFOFtoCNF_D) )],[refute_0_100,refute_0_73]) ).
cnf(refute_0_102,plain,
coll(X_1431,skolemFOFtoCNF_D,X_1432),
inference(subst,[],[refute_0_101:[bind(X_1425,$fot(X_1431)),bind(X_1426,$fot(X_1432))]]) ).
cnf(refute_0_103,plain,
( ~ coll(X_1431,skolemFOFtoCNF_D,C)
| coll(C,X_1432,X_1431) ),
inference(resolve,[$cnf( coll(X_1431,skolemFOFtoCNF_D,X_1432) )],[refute_0_102,refute_0_72]) ).
cnf(refute_0_104,plain,
coll(X_1431,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_97:[bind(X_1394,$fot(C)),bind(X_1395,$fot(X_1431)),bind(X_1396,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_105,plain,
coll(C,X_1432,X_1431),
inference(resolve,[$cnf( coll(X_1431,skolemFOFtoCNF_D,C) )],[refute_0_104,refute_0_103]) ).
cnf(refute_0_106,plain,
coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_105:[bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(X_1431,$fot(C)),bind(X_1432,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_107,plain,
coll(C,X_1447,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,C) )],[refute_0_106,refute_0_71]) ).
cnf(refute_0_108,plain,
coll(X_1448,X_1449,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)),
inference(subst,[],[refute_0_107:[bind(C,$fot(X_1448)),bind(X_1447,$fot(X_1449))]]) ).
cnf(refute_0_109,plain,
coll(X_1448,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),X_1449),
inference(resolve,[$cnf( coll(X_1448,X_1449,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)) )],[refute_0_108,refute_0_5]) ).
cnf(refute_0_110,plain,
coll(X_1459,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),X_1460),
inference(subst,[],[refute_0_109:[bind(X_1448,$fot(X_1459)),bind(X_1449,$fot(X_1460))]]) ).
cnf(refute_0_111,plain,
( ~ coll(X_1459,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),C)
| coll(C,X_1460,X_1459) ),
inference(resolve,[$cnf( coll(X_1459,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),X_1460) )],[refute_0_110,refute_0_3]) ).
cnf(refute_0_112,plain,
( ~ coll(X_1457,skolemFOFtoCNF_A,C)
| ~ coll(X_1457,skolemFOFtoCNF_A,X_1458)
| coll(C,X_1458,X_1457) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_1457)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1458))]]) ).
cnf(refute_0_113,plain,
( ~ coll(X_1437,X_1438,skolemFOFtoCNF_A)
| coll(X_1437,skolemFOFtoCNF_A,X_1438) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_1437)),bind(B,$fot(X_1438)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_114,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_E,C)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_E,X_1436)
| coll(C,X_1436,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_1436))]]) ).
cnf(refute_0_115,plain,
( ~ coll(skolemFOFtoCNF_A,X_1435,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_E,X_1435) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1435)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_116,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_117,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_118,plain,
( ~ coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_E,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_119,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_E,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_120,plain,
( ~ perp(A,H,B,C)
| ~ perp(B,H,A,C)
| perp(A,skolemFOFtoCNF_P_3(A,B,C),C,B) ),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_121,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_E)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_E,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_120:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_E)),bind(H,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_122,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_E,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_123,plain,
( ~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_E,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_124,plain,
( ~ perp(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_125,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_126,plain,
( ~ perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E)
| perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_127,plain,
perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E) )],[refute_0_20,refute_0_126]) ).
cnf(refute_0_128,plain,
perp(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_A) )],[refute_0_127,refute_0_125]) ).
cnf(refute_0_129,plain,
perp(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A) )],[refute_0_128,refute_0_124]) ).
cnf(refute_0_130,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_E,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)) )],[refute_0_129,refute_0_123]) ).
cnf(refute_0_131,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_E),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_E,skolemFOFtoCNF_A) )],[refute_0_130,refute_0_122]) ).
cnf(refute_0_132,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_E,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_E) )],[refute_0_131,refute_0_121]) ).
cnf(refute_0_133,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_E),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_E,skolemFOFtoCNF_A) )],[refute_0_132,refute_0_119]) ).
cnf(refute_0_134,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_E,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_E)),bind(H,$fot(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_135,plain,
coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_E,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A,skolemFOFtoCNF_E) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_E,skolemFOFtoCNF_A) )],[refute_0_135,refute_0_118]) ).
cnf(refute_0_137,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_P_3(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),skolemFOFtoCNF_A) )],[refute_0_136,refute_0_117]) ).
cnf(refute_0_138,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E) )],[refute_0_137,refute_0_116]) ).
cnf(refute_0_139,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1396)
| ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,X_1396,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1396))]]) ).
cnf(refute_0_140,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1396)
| coll(skolemFOFtoCNF_A,X_1396,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_A) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1396),
inference(subst,[],[refute_0_63:[bind(X_354,$fot(X_1396)),bind(X_355,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_142,plain,
coll(skolemFOFtoCNF_A,X_1396,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1396) )],[refute_0_141,refute_0_140]) ).
cnf(refute_0_143,plain,
coll(skolemFOFtoCNF_A,X_1435,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_142:[bind(X_1396,$fot(X_1435))]]) ).
cnf(refute_0_144,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_E,X_1435),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1435,skolemFOFtoCNF_E) )],[refute_0_143,refute_0_115]) ).
cnf(refute_0_145,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_E,X_1436),
inference(subst,[],[refute_0_144:[bind(X_1435,$fot(X_1436))]]) ).
cnf(refute_0_146,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_E,C)
| coll(C,X_1436,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_E,X_1436) )],[refute_0_145,refute_0_114]) ).
cnf(refute_0_147,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_105:[bind(C,$fot(skolemFOFtoCNF_A)),bind(X_1431,$fot(C)),bind(X_1432,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_148,plain,
coll(C,X_1436,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_E,C) )],[refute_0_147,refute_0_146]) ).
cnf(refute_0_149,plain,
coll(X_1437,X_1438,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_148:[bind(C,$fot(X_1437)),bind(X_1436,$fot(X_1438))]]) ).
cnf(refute_0_150,plain,
coll(X_1437,skolemFOFtoCNF_A,X_1438),
inference(resolve,[$cnf( coll(X_1437,X_1438,skolemFOFtoCNF_A) )],[refute_0_149,refute_0_113]) ).
cnf(refute_0_151,plain,
coll(X_1457,skolemFOFtoCNF_A,X_1458),
inference(subst,[],[refute_0_150:[bind(X_1437,$fot(X_1457)),bind(X_1438,$fot(X_1458))]]) ).
cnf(refute_0_152,plain,
( ~ coll(X_1457,skolemFOFtoCNF_A,C)
| coll(C,X_1458,X_1457) ),
inference(resolve,[$cnf( coll(X_1457,skolemFOFtoCNF_A,X_1458) )],[refute_0_151,refute_0_112]) ).
cnf(refute_0_153,plain,
coll(X_1457,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_105:[bind(C,$fot(X_1457)),bind(X_1431,$fot(C)),bind(X_1432,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_154,plain,
coll(C,X_1458,X_1457),
inference(resolve,[$cnf( coll(X_1457,skolemFOFtoCNF_A,C) )],[refute_0_153,refute_0_152]) ).
cnf(refute_0_155,plain,
coll(X_1459,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),C),
inference(subst,[],[refute_0_154:[bind(C,$fot(X_1459)),bind(X_1457,$fot(C)),bind(X_1458,$fot(skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_156,plain,
coll(C,X_1460,X_1459),
inference(resolve,[$cnf( coll(X_1459,skolemFOFtoCNF_P_4(skolemFOFtoCNF_A,skolemFOFtoCNF_E),C) )],[refute_0_155,refute_0_111]) ).
cnf(refute_0_157,plain,
coll(O,A,C),
inference(subst,[],[refute_0_156:[bind(C,$fot(O)),bind(X_1459,$fot(C)),bind(X_1460,$fot(A))]]) ).
cnf(refute_0_158,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_157,refute_0_1]) ).
cnf(refute_0_159,plain,
( ~ circle(X_6140,X_6137,X_6138,X_6139)
| perp(X_6137,X_6138,X_6138,X_6139) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(X_6137)),bind(B,$fot(X_6138)),bind(C,$fot(X_6139)),bind(O,$fot(X_6140))]]) ).
cnf(refute_0_160,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_161,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_162,plain,
( ~ cong(X_2672,X_2673,X_2674,X_2672)
| cong(X_2672,X_2673,X_2672,X_2674) ),
inference(subst,[],[refute_0_161:[bind(A,$fot(X_2672)),bind(B,$fot(X_2673)),bind(C,$fot(X_2674)),bind(D,$fot(X_2672))]]) ).
cnf(refute_0_163,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_164,plain,
( ~ cong(X_2655,X_2653,X_2653,X_2654)
| cong(X_2653,X_2654,X_2655,X_2653) ),
inference(subst,[],[refute_0_163:[bind(A,$fot(X_2655)),bind(B,$fot(X_2653)),bind(C,$fot(X_2653)),bind(D,$fot(X_2654))]]) ).
cnf(refute_0_165,plain,
( ~ cong(X_2652,X_2650,X_2651,X_2650)
| cong(X_2652,X_2650,X_2650,X_2651) ),
inference(subst,[],[refute_0_161:[bind(A,$fot(X_2652)),bind(B,$fot(X_2650)),bind(C,$fot(X_2651)),bind(D,$fot(X_2650))]]) ).
cnf(refute_0_166,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_167,plain,
( ~ midp(M,X_2633,X_2633)
| ~ perp(X_2633,X_2632,X_2632,X_2633)
| cong(X_2633,M,X_2632,M) ),
inference(subst,[],[refute_0_166:[bind(A,$fot(X_2633)),bind(B,$fot(X_2632)),bind(C,$fot(X_2633))]]) ).
cnf(refute_0_168,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_169,plain,
( ~ cong(X_2630,X_2631,X_2630,X_2631)
| ~ cyclic(X_2630,X_2630,X_2631,X_2631)
| perp(X_2631,X_2630,X_2630,X_2631) ),
inference(subst,[],[refute_0_168:[bind(A,$fot(X_2630)),bind(B,$fot(X_2630)),bind(P,$fot(X_2631)),bind(Q,$fot(X_2631))]]) ).
cnf(refute_0_170,plain,
( ~ cyclic(X_2628,X_2628,X_2628,X_2629)
| cyclic(X_2628,X_2628,X_2629,X_2629) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_2628)),bind(B,$fot(X_2628)),bind(C,$fot(X_2628)),bind(D,$fot(X_2629)),bind(E,$fot(X_2629))]]) ).
cnf(refute_0_171,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_172,plain,
( ~ cyclic(X_2626,X_2626,X_2627,X_2626)
| cyclic(X_2626,X_2626,X_2626,X_2627) ),
inference(subst,[],[refute_0_171:[bind(A,$fot(X_2626)),bind(B,$fot(X_2626)),bind(C,$fot(X_2627)),bind(D,$fot(X_2626))]]) ).
cnf(refute_0_173,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_174,plain,
( ~ cyclic(X_2624,X_2625,X_2624,X_2624)
| cyclic(X_2624,X_2624,X_2625,X_2624) ),
inference(subst,[],[refute_0_173:[bind(A,$fot(X_2624)),bind(B,$fot(X_2625)),bind(C,$fot(X_2624)),bind(D,$fot(X_2624))]]) ).
cnf(refute_0_175,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_176,plain,
( ~ cyclic(X_2623,X_2622,X_2622,X_2622)
| cyclic(X_2622,X_2623,X_2622,X_2622) ),
inference(subst,[],[refute_0_175:[bind(A,$fot(X_2623)),bind(B,$fot(X_2622)),bind(C,$fot(X_2622)),bind(D,$fot(X_2622))]]) ).
cnf(refute_0_177,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_2621,X_2620),X_2621,skolemFOFtoCNF_P_1(X_2621,X_2620),X_2620)
| cyclic(X_2621,X_2620,X_2620,X_2620) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(X_2621)),bind(B,$fot(X_2620)),bind(C,$fot(X_2620)),bind(D,$fot(X_2620)),bind(O,$fot(skolemFOFtoCNF_P_1(X_2621,X_2620)))]]) ).
cnf(refute_0_178,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_1526,X_1525),X_1526,X_1525)
| cong(skolemFOFtoCNF_P_1(X_1526,X_1525),X_1526,skolemFOFtoCNF_P_1(X_1526,X_1525),X_1525) ),
inference(subst,[],[refute_0_43:[bind(A,$fot(skolemFOFtoCNF_P_1(X_1526,X_1525))),bind(B,$fot(X_1526)),bind(C,$fot(X_1525))]]) ).
cnf(refute_0_179,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_62]) ).
cnf(refute_0_180,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_179:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_181,plain,
( ~ coll(X_357,X_357,X_356)
| coll(X_357,X_356,X_357) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_357)),bind(B,$fot(X_357)),bind(C,$fot(X_356))]]) ).
cnf(refute_0_182,plain,
coll(X_357,X_357,X_356),
inference(subst,[],[refute_0_63:[bind(X_354,$fot(X_356)),bind(X_355,$fot(X_357))]]) ).
cnf(refute_0_183,plain,
coll(X_357,X_356,X_357),
inference(resolve,[$cnf( coll(X_357,X_357,X_356) )],[refute_0_182,refute_0_181]) ).
cnf(refute_0_184,plain,
coll(D,D,D),
inference(subst,[],[refute_0_183:[bind(X_356,$fot(D)),bind(X_357,$fot(D))]]) ).
cnf(refute_0_185,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_184,refute_0_180]) ).
cnf(refute_0_186,plain,
( ~ midp(skolemFOFtoCNF_A,X_1498,X_1498)
| midp(skolemFOFtoCNF_P_1(X_1498,Q),X_1498,Q) ),
inference(subst,[],[refute_0_185:[bind(D,$fot(X_1498)),bind(N,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_187,plain,
para(X_1473,X_1474,X_1473,X_1474),
inference(subst,[],[refute_0_59:[bind(X_347,$fot(X_1473)),bind(X_348,$fot(X_1474))]]) ).
cnf(refute_0_188,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_189,plain,
( ~ midp(X_1475,X_1473,X_1473)
| ~ para(X_1473,X_1474,X_1473,X_1474)
| midp(X_1475,X_1474,X_1474) ),
inference(subst,[],[refute_0_188:[bind(A,$fot(X_1473)),bind(B,$fot(X_1473)),bind(C,$fot(X_1474)),bind(D,$fot(X_1474)),bind(M,$fot(X_1475))]]) ).
cnf(refute_0_190,plain,
( ~ midp(X_1475,X_1473,X_1473)
| midp(X_1475,X_1474,X_1474) ),
inference(resolve,[$cnf( para(X_1473,X_1474,X_1473,X_1474) )],[refute_0_187,refute_0_189]) ).
cnf(refute_0_191,plain,
( ~ midp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_A,X_1474,X_1474) ),
inference(subst,[],[refute_0_190:[bind(X_1473,$fot(skolemFOFtoCNF_C_1)),bind(X_1475,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_192,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_193,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_192:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_194,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_195,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_194:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_196,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_195]) ).
cnf(refute_0_197,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_198,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_199,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| circle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_160:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_200,plain,
circle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_45,refute_0_199]) ).
cnf(refute_0_201,plain,
( ~ circle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_202,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_202,refute_0_198]) ).
cnf(refute_0_204,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_203,refute_0_197]) ).
cnf(refute_0_205,plain,
( ~ midp(X_1496,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_A,X_1496,skolemFOFtoCNF_A,X_1496) ),
inference(subst,[],[refute_0_166:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(X_1496))]]) ).
cnf(refute_0_206,plain,
( ~ midp(X_1496,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_A,X_1496,skolemFOFtoCNF_A,X_1496) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_206:[bind(X_1496,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_208,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_196,refute_0_207]) ).
cnf(refute_0_209,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_208,refute_0_193]) ).
cnf(refute_0_210,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_156:[bind(C,$fot(skolemFOFtoCNF_A)),bind(X_1459,$fot(skolemFOFtoCNF_C_1)),bind(X_1460,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_211,plain,
midp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_210,refute_0_209]) ).
cnf(refute_0_212,plain,
midp(skolemFOFtoCNF_A,X_1474,X_1474),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_211,refute_0_191]) ).
cnf(refute_0_213,plain,
midp(skolemFOFtoCNF_A,X_1498,X_1498),
inference(subst,[],[refute_0_212:[bind(X_1474,$fot(X_1498))]]) ).
cnf(refute_0_214,plain,
midp(skolemFOFtoCNF_P_1(X_1498,Q),X_1498,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,X_1498,X_1498) )],[refute_0_213,refute_0_186]) ).
cnf(refute_0_215,plain,
midp(skolemFOFtoCNF_P_1(X_1526,X_1525),X_1526,X_1525),
inference(subst,[],[refute_0_214:[bind(Q,$fot(X_1525)),bind(X_1498,$fot(X_1526))]]) ).
cnf(refute_0_216,plain,
cong(skolemFOFtoCNF_P_1(X_1526,X_1525),X_1526,skolemFOFtoCNF_P_1(X_1526,X_1525),X_1525),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_1526,X_1525),X_1526,X_1525) )],[refute_0_215,refute_0_178]) ).
cnf(refute_0_217,plain,
cong(skolemFOFtoCNF_P_1(X_2621,X_2620),X_2621,skolemFOFtoCNF_P_1(X_2621,X_2620),X_2620),
inference(subst,[],[refute_0_216:[bind(X_1525,$fot(X_2620)),bind(X_1526,$fot(X_2621))]]) ).
cnf(refute_0_218,plain,
cyclic(X_2621,X_2620,X_2620,X_2620),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_2621,X_2620),X_2621,skolemFOFtoCNF_P_1(X_2621,X_2620),X_2620) )],[refute_0_217,refute_0_177]) ).
cnf(refute_0_219,plain,
cyclic(X_2623,X_2622,X_2622,X_2622),
inference(subst,[],[refute_0_218:[bind(X_2620,$fot(X_2622)),bind(X_2621,$fot(X_2623))]]) ).
cnf(refute_0_220,plain,
cyclic(X_2622,X_2623,X_2622,X_2622),
inference(resolve,[$cnf( cyclic(X_2623,X_2622,X_2622,X_2622) )],[refute_0_219,refute_0_176]) ).
cnf(refute_0_221,plain,
cyclic(X_2624,X_2625,X_2624,X_2624),
inference(subst,[],[refute_0_220:[bind(X_2622,$fot(X_2624)),bind(X_2623,$fot(X_2625))]]) ).
cnf(refute_0_222,plain,
cyclic(X_2624,X_2624,X_2625,X_2624),
inference(resolve,[$cnf( cyclic(X_2624,X_2625,X_2624,X_2624) )],[refute_0_221,refute_0_174]) ).
cnf(refute_0_223,plain,
cyclic(X_2626,X_2626,X_2627,X_2626),
inference(subst,[],[refute_0_222:[bind(X_2624,$fot(X_2626)),bind(X_2625,$fot(X_2627))]]) ).
cnf(refute_0_224,plain,
cyclic(X_2626,X_2626,X_2626,X_2627),
inference(resolve,[$cnf( cyclic(X_2626,X_2626,X_2627,X_2626) )],[refute_0_223,refute_0_172]) ).
cnf(refute_0_225,plain,
cyclic(X_2628,X_2628,X_2628,X_2629),
inference(subst,[],[refute_0_224:[bind(X_2626,$fot(X_2628)),bind(X_2627,$fot(X_2629))]]) ).
cnf(refute_0_226,plain,
cyclic(X_2628,X_2628,X_2629,X_2629),
inference(resolve,[$cnf( cyclic(X_2628,X_2628,X_2628,X_2629) )],[refute_0_225,refute_0_170]) ).
cnf(refute_0_227,plain,
cyclic(X_2630,X_2630,X_2631,X_2631),
inference(subst,[],[refute_0_226:[bind(X_2628,$fot(X_2630)),bind(X_2629,$fot(X_2631))]]) ).
cnf(refute_0_228,plain,
( ~ cong(X_2630,X_2631,X_2630,X_2631)
| perp(X_2631,X_2630,X_2630,X_2631) ),
inference(resolve,[$cnf( cyclic(X_2630,X_2630,X_2631,X_2631) )],[refute_0_227,refute_0_169]) ).
cnf(refute_0_229,plain,
( ~ midp(X_1534,X_1533,X_1533)
| cong(X_1534,X_1533,X_1534,X_1533) ),
inference(subst,[],[refute_0_43:[bind(A,$fot(X_1534)),bind(B,$fot(X_1533)),bind(C,$fot(X_1533))]]) ).
cnf(refute_0_230,plain,
( ~ midp(X_1515,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_1515,X_1474,X_1474) ),
inference(subst,[],[refute_0_190:[bind(X_1473,$fot(skolemFOFtoCNF_A)),bind(X_1475,$fot(X_1515))]]) ).
cnf(refute_0_231,plain,
( ~ coll(X_1514,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ cong(X_1514,skolemFOFtoCNF_A,X_1514,skolemFOFtoCNF_A)
| midp(X_1514,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_192:[bind(A,$fot(X_1514)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_232,plain,
( ~ cong(X_1511,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1511)
| cong(X_1511,skolemFOFtoCNF_A,X_1511,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_161:[bind(A,$fot(X_1511)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1511))]]) ).
cnf(refute_0_233,plain,
( ~ cong(skolemFOFtoCNF_A,X_1507,X_1507,skolemFOFtoCNF_A)
| cong(X_1507,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1507) ),
inference(subst,[],[refute_0_163:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1507)),bind(C,$fot(X_1507)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_234,plain,
( ~ cong(skolemFOFtoCNF_A,X_1502,skolemFOFtoCNF_A,X_1502)
| cong(skolemFOFtoCNF_A,X_1502,X_1502,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_161:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1502)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1502))]]) ).
cnf(refute_0_235,plain,
( ~ midp(skolemFOFtoCNF_A,X_1498,X_1498)
| cong(skolemFOFtoCNF_A,X_1498,skolemFOFtoCNF_A,X_1498) ),
inference(subst,[],[refute_0_43:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1498)),bind(C,$fot(X_1498))]]) ).
cnf(refute_0_236,plain,
cong(skolemFOFtoCNF_A,X_1498,skolemFOFtoCNF_A,X_1498),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,X_1498,X_1498) )],[refute_0_213,refute_0_235]) ).
cnf(refute_0_237,plain,
cong(skolemFOFtoCNF_A,X_1502,skolemFOFtoCNF_A,X_1502),
inference(subst,[],[refute_0_236:[bind(X_1498,$fot(X_1502))]]) ).
cnf(refute_0_238,plain,
cong(skolemFOFtoCNF_A,X_1502,X_1502,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_1502,skolemFOFtoCNF_A,X_1502) )],[refute_0_237,refute_0_234]) ).
cnf(refute_0_239,plain,
cong(skolemFOFtoCNF_A,X_1507,X_1507,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_238:[bind(X_1502,$fot(X_1507))]]) ).
cnf(refute_0_240,plain,
cong(X_1507,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1507),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_1507,X_1507,skolemFOFtoCNF_A) )],[refute_0_239,refute_0_233]) ).
cnf(refute_0_241,plain,
cong(X_1511,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1511),
inference(subst,[],[refute_0_240:[bind(X_1507,$fot(X_1511))]]) ).
cnf(refute_0_242,plain,
cong(X_1511,skolemFOFtoCNF_A,X_1511,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(X_1511,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1511) )],[refute_0_241,refute_0_232]) ).
cnf(refute_0_243,plain,
cong(X_1514,skolemFOFtoCNF_A,X_1514,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_242:[bind(X_1511,$fot(X_1514))]]) ).
cnf(refute_0_244,plain,
( ~ coll(X_1514,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(X_1514,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( cong(X_1514,skolemFOFtoCNF_A,X_1514,skolemFOFtoCNF_A) )],[refute_0_243,refute_0_231]) ).
cnf(refute_0_245,plain,
coll(X_1514,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_156:[bind(C,$fot(X_1514)),bind(X_1459,$fot(skolemFOFtoCNF_A)),bind(X_1460,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_246,plain,
midp(X_1514,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(X_1514,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_245,refute_0_244]) ).
cnf(refute_0_247,plain,
midp(X_1515,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_246:[bind(X_1514,$fot(X_1515))]]) ).
cnf(refute_0_248,plain,
midp(X_1515,X_1474,X_1474),
inference(resolve,[$cnf( midp(X_1515,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_247,refute_0_230]) ).
cnf(refute_0_249,plain,
midp(X_1534,X_1533,X_1533),
inference(subst,[],[refute_0_248:[bind(X_1474,$fot(X_1533)),bind(X_1515,$fot(X_1534))]]) ).
cnf(refute_0_250,plain,
cong(X_1534,X_1533,X_1534,X_1533),
inference(resolve,[$cnf( midp(X_1534,X_1533,X_1533) )],[refute_0_249,refute_0_229]) ).
cnf(refute_0_251,plain,
cong(X_2630,X_2631,X_2630,X_2631),
inference(subst,[],[refute_0_250:[bind(X_1533,$fot(X_2631)),bind(X_1534,$fot(X_2630))]]) ).
cnf(refute_0_252,plain,
perp(X_2631,X_2630,X_2630,X_2631),
inference(resolve,[$cnf( cong(X_2630,X_2631,X_2630,X_2631) )],[refute_0_251,refute_0_228]) ).
cnf(refute_0_253,plain,
perp(X_2633,X_2632,X_2632,X_2633),
inference(subst,[],[refute_0_252:[bind(X_2630,$fot(X_2632)),bind(X_2631,$fot(X_2633))]]) ).
cnf(refute_0_254,plain,
( ~ midp(M,X_2633,X_2633)
| cong(X_2633,M,X_2632,M) ),
inference(resolve,[$cnf( perp(X_2633,X_2632,X_2632,X_2633) )],[refute_0_253,refute_0_167]) ).
cnf(refute_0_255,plain,
( ~ midp(X_1523,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(X_1523,X_1474,X_1474) ),
inference(subst,[],[refute_0_190:[bind(X_1473,$fot(skolemFOFtoCNF_C_1)),bind(X_1475,$fot(X_1523))]]) ).
cnf(refute_0_256,plain,
( ~ coll(X_1522,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| ~ cong(X_1522,skolemFOFtoCNF_C_1,X_1522,skolemFOFtoCNF_C_1)
| midp(X_1522,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_192:[bind(A,$fot(X_1522)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_257,plain,
( ~ cong(X_1521,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1521)
| cong(X_1521,skolemFOFtoCNF_C_1,X_1521,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_161:[bind(A,$fot(X_1521)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1521))]]) ).
cnf(refute_0_258,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_1516,X_1516,skolemFOFtoCNF_C_1)
| cong(X_1516,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1516) ),
inference(subst,[],[refute_0_163:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1516)),bind(C,$fot(X_1516)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_259,plain,
( ~ cong(skolemFOFtoCNF_C_1,X_1505,skolemFOFtoCNF_C_1,X_1505)
| cong(skolemFOFtoCNF_C_1,X_1505,X_1505,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_161:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1505)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1505))]]) ).
cnf(refute_0_260,plain,
( ~ midp(skolemFOFtoCNF_C_1,X_1499,X_1499)
| cong(skolemFOFtoCNF_C_1,X_1499,skolemFOFtoCNF_C_1,X_1499) ),
inference(subst,[],[refute_0_43:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1499)),bind(C,$fot(X_1499))]]) ).
cnf(refute_0_261,plain,
( ~ midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_C_1,X_1474,X_1474) ),
inference(subst,[],[refute_0_190:[bind(X_1473,$fot(skolemFOFtoCNF_A)),bind(X_1475,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_262,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_192:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_263,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_161:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_264,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_163:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_265,plain,
( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_161:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_266,plain,
cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_208,refute_0_265]) ).
cnf(refute_0_267,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_266,refute_0_264]) ).
cnf(refute_0_268,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_267,refute_0_263]) ).
cnf(refute_0_269,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_268,refute_0_262]) ).
cnf(refute_0_270,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_156:[bind(C,$fot(skolemFOFtoCNF_C_1)),bind(X_1459,$fot(skolemFOFtoCNF_A)),bind(X_1460,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_271,plain,
midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_270,refute_0_269]) ).
cnf(refute_0_272,plain,
midp(skolemFOFtoCNF_C_1,X_1474,X_1474),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_271,refute_0_261]) ).
cnf(refute_0_273,plain,
midp(skolemFOFtoCNF_C_1,X_1499,X_1499),
inference(subst,[],[refute_0_272:[bind(X_1474,$fot(X_1499))]]) ).
cnf(refute_0_274,plain,
cong(skolemFOFtoCNF_C_1,X_1499,skolemFOFtoCNF_C_1,X_1499),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_C_1,X_1499,X_1499) )],[refute_0_273,refute_0_260]) ).
cnf(refute_0_275,plain,
cong(skolemFOFtoCNF_C_1,X_1505,skolemFOFtoCNF_C_1,X_1505),
inference(subst,[],[refute_0_274:[bind(X_1499,$fot(X_1505))]]) ).
cnf(refute_0_276,plain,
cong(skolemFOFtoCNF_C_1,X_1505,X_1505,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_1505,skolemFOFtoCNF_C_1,X_1505) )],[refute_0_275,refute_0_259]) ).
cnf(refute_0_277,plain,
cong(skolemFOFtoCNF_C_1,X_1516,X_1516,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_276:[bind(X_1505,$fot(X_1516))]]) ).
cnf(refute_0_278,plain,
cong(X_1516,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1516),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,X_1516,X_1516,skolemFOFtoCNF_C_1) )],[refute_0_277,refute_0_258]) ).
cnf(refute_0_279,plain,
cong(X_1521,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1521),
inference(subst,[],[refute_0_278:[bind(X_1516,$fot(X_1521))]]) ).
cnf(refute_0_280,plain,
cong(X_1521,skolemFOFtoCNF_C_1,X_1521,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(X_1521,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1521) )],[refute_0_279,refute_0_257]) ).
cnf(refute_0_281,plain,
cong(X_1522,skolemFOFtoCNF_C_1,X_1522,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_280:[bind(X_1521,$fot(X_1522))]]) ).
cnf(refute_0_282,plain,
( ~ coll(X_1522,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(X_1522,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( cong(X_1522,skolemFOFtoCNF_C_1,X_1522,skolemFOFtoCNF_C_1) )],[refute_0_281,refute_0_256]) ).
cnf(refute_0_283,plain,
coll(X_1522,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_156:[bind(C,$fot(X_1522)),bind(X_1459,$fot(skolemFOFtoCNF_C_1)),bind(X_1460,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_284,plain,
midp(X_1522,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(X_1522,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_283,refute_0_282]) ).
cnf(refute_0_285,plain,
midp(X_1523,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_284:[bind(X_1522,$fot(X_1523))]]) ).
cnf(refute_0_286,plain,
midp(X_1523,X_1474,X_1474),
inference(resolve,[$cnf( midp(X_1523,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_285,refute_0_255]) ).
cnf(refute_0_287,plain,
midp(M,X_2633,X_2633),
inference(subst,[],[refute_0_286:[bind(X_1474,$fot(X_2633)),bind(X_1523,$fot(M))]]) ).
cnf(refute_0_288,plain,
cong(X_2633,M,X_2632,M),
inference(resolve,[$cnf( midp(M,X_2633,X_2633) )],[refute_0_287,refute_0_254]) ).
cnf(refute_0_289,plain,
cong(X_2652,X_2650,X_2651,X_2650),
inference(subst,[],[refute_0_288:[bind(M,$fot(X_2650)),bind(X_2632,$fot(X_2651)),bind(X_2633,$fot(X_2652))]]) ).
cnf(refute_0_290,plain,
cong(X_2652,X_2650,X_2650,X_2651),
inference(resolve,[$cnf( cong(X_2652,X_2650,X_2651,X_2650) )],[refute_0_289,refute_0_165]) ).
cnf(refute_0_291,plain,
cong(X_2655,X_2653,X_2653,X_2654),
inference(subst,[],[refute_0_290:[bind(X_2650,$fot(X_2653)),bind(X_2651,$fot(X_2654)),bind(X_2652,$fot(X_2655))]]) ).
cnf(refute_0_292,plain,
cong(X_2653,X_2654,X_2655,X_2653),
inference(resolve,[$cnf( cong(X_2655,X_2653,X_2653,X_2654) )],[refute_0_291,refute_0_164]) ).
cnf(refute_0_293,plain,
cong(X_2672,X_2673,X_2674,X_2672),
inference(subst,[],[refute_0_292:[bind(X_2653,$fot(X_2672)),bind(X_2654,$fot(X_2673)),bind(X_2655,$fot(X_2674))]]) ).
cnf(refute_0_294,plain,
cong(X_2672,X_2673,X_2672,X_2674),
inference(resolve,[$cnf( cong(X_2672,X_2673,X_2674,X_2672) )],[refute_0_293,refute_0_162]) ).
cnf(refute_0_295,plain,
cong(O,A,O,B),
inference(subst,[],[refute_0_294:[bind(X_2672,$fot(O)),bind(X_2673,$fot(A)),bind(X_2674,$fot(B))]]) ).
cnf(refute_0_296,plain,
( ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(resolve,[$cnf( cong(O,A,O,B) )],[refute_0_295,refute_0_160]) ).
cnf(refute_0_297,plain,
cong(O,A,O,C),
inference(subst,[],[refute_0_294:[bind(X_2672,$fot(O)),bind(X_2673,$fot(A)),bind(X_2674,$fot(C))]]) ).
cnf(refute_0_298,plain,
circle(O,A,B,C),
inference(resolve,[$cnf( cong(O,A,O,C) )],[refute_0_297,refute_0_296]) ).
cnf(refute_0_299,plain,
circle(X_6140,X_6137,X_6138,X_6139),
inference(subst,[],[refute_0_298:[bind(A,$fot(X_6137)),bind(B,$fot(X_6138)),bind(C,$fot(X_6139)),bind(O,$fot(X_6140))]]) ).
cnf(refute_0_300,plain,
perp(X_6137,X_6138,X_6138,X_6139),
inference(resolve,[$cnf( circle(X_6140,X_6137,X_6138,X_6139) )],[refute_0_299,refute_0_159]) ).
cnf(refute_0_301,plain,
perp(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_300:[bind(X_6137,$fot(skolemFOFtoCNF_E)),bind(X_6138,$fot(skolemFOFtoCNF_D)),bind(X_6139,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_302,plain,
$false,
inference(resolve,[$cnf( perp(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_F) )],[refute_0_301,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO607+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 02:36:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 47.22/47.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 47.22/47.47
% 47.22/47.47 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 47.33/47.50
%------------------------------------------------------------------------------