TSTP Solution File: GEO604+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO604+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 05:27:38 EDT 2022
% Result : Theorem 35.03s 35.25s
% Output : CNFRefutation 35.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 87
% Number of leaves : 29
% Syntax : Number of formulae : 359 ( 142 unt; 0 def)
% Number of atoms : 703 ( 0 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 611 ( 267 ~; 262 |; 51 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-6 aty)
% Number of variables : 904 ( 143 sgn 415 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ) ).
fof(ruleD7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ) ).
fof(ruleD8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C) )
=> circle(O,A,B,C) ) ).
fof(ruleD13,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C)
& cong(O,A,O,D) )
=> cyclic(A,B,C,D) ) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ) ).
fof(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ) ).
fof(ruleD53,axiom,
! [A,B,C,O] :
( ( circle(O,A,B,C)
& coll(O,A,C) )
=> perp(A,B,B,C) ) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ) ).
fof(ruleX6,axiom,
! [A,B,C,D,M,N] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D) )
=> ( midp(P,A,D)
& para(P,M,B,D)
& para(P,N,A,C) ) ) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( midp(M,A,B)
& midp(N,C,D)
& coll(C,A,B)
& coll(D,A,B) )
=> midp(P,A,Q) ) ).
fof(exemplo6GDDFULL618066,conjecture,
! [A,B,C,D,E,F,G] :
( ( perp(D,C,A,B)
& coll(D,A,B)
& perp(B,C,A,E)
& coll(E,C,D)
& midp(F,A,E)
& midp(G,C,B) )
=> perp(D,G,D,F) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E,F,G] :
( ( perp(D,C,A,B)
& coll(D,A,B)
& perp(B,C,A,E)
& coll(E,C,D)
& midp(F,A,E)
& midp(G,C,B) )
=> perp(D,G,D,F) ),
inference(strip,[],[exemplo6GDDFULL618066]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E,F,G] :
( ( perp(D,C,A,B)
& coll(D,A,B)
& perp(B,C,A,E)
& coll(E,C,D)
& midp(F,A,E)
& midp(G,C,B) )
=> perp(D,G,D,F) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F,G] :
( ~ perp(D,G,D,F)
& coll(D,A,B)
& coll(E,C,D)
& midp(F,A,E)
& midp(G,C,B)
& perp(B,C,A,E)
& perp(D,C,A,B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ perp(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F)
& coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
& midp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_E)
& midp(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_E)
& perp(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ perp(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_4,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_6,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,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_8,plain,
! [A,B,C,O] :
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_10,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_12,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_14,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_15,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,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_17,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_16]) ).
fof(normalize_0_18,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_17]) ).
fof(normalize_0_19,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_20,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_19]) ).
fof(normalize_0_21,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_22,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_21]) ).
fof(normalize_0_23,plain,
midp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_24,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_25,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_27,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[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] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD40]) ).
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] :
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(clausify,[],[normalize_0_31]) ).
fof(normalize_0_33,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_34,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_33]) ).
fof(normalize_0_35,plain,
midp(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_36,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_37,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,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_39,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_41,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_40]) ).
fof(normalize_0_42,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_43,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_42]) ).
fof(normalize_0_44,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_45,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_44]) ).
fof(normalize_0_46,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_47,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_46]) ).
fof(normalize_0_48,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_49,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_48]) ).
fof(normalize_0_50,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_51,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_50]) ).
fof(normalize_0_52,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_53,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_52]) ).
fof(normalize_0_54,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_55,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_54]) ).
fof(normalize_0_56,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_55]) ).
fof(normalize_0_57,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_58,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_57]) ).
fof(normalize_0_59,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_60,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_59]) ).
fof(normalize_0_61,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_62,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_61]) ).
fof(normalize_0_63,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_64,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_63]) ).
fof(normalize_0_65,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_64]) ).
fof(normalize_0_66,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_65]) ).
cnf(refute_0_0,plain,
~ perp(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ perp(X_9230,X_9231,X_9229,X_9230)
| perp(X_9230,X_9231,X_9230,X_9229) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_9230)),bind(B,$fot(X_9231)),bind(C,$fot(X_9229)),bind(D,$fot(X_9230))]]) ).
cnf(refute_0_3,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ perp(X_9226,X_9227,X_9227,X_9228)
| perp(X_9227,X_9228,X_9226,X_9227) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_9226)),bind(B,$fot(X_9227)),bind(C,$fot(X_9227)),bind(D,$fot(X_9228))]]) ).
cnf(refute_0_5,plain,
( ~ circle(O,A,B,C)
| ~ coll(O,A,C)
| perp(A,B,B,C) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ coll(X_2607,skolemFOFtoCNF_D,C)
| ~ coll(X_2607,skolemFOFtoCNF_D,X_2608)
| coll(C,X_2608,X_2607) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_2607)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_2608))]]) ).
cnf(refute_0_8,plain,
( ~ coll(X_2586,skolemFOFtoCNF_E,C)
| ~ coll(X_2586,skolemFOFtoCNF_E,skolemFOFtoCNF_D)
| coll(C,skolemFOFtoCNF_D,X_2586) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_2586)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_9,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ coll(skolemFOFtoCNF_E,X_2563,skolemFOFtoCNF_D)
| coll(X_2563,skolemFOFtoCNF_E,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(X_2563)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_11,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_12,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_13,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_2552)
| ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,X_2552,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_2552))]]) ).
cnf(refute_0_15,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_2552)
| coll(skolemFOFtoCNF_E,X_2552,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_E) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ coll(X_512,X_513,X_513)
| coll(X_513,X_513,X_512) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_512)),bind(B,$fot(X_513)),bind(C,$fot(X_513)),bind(D,$fot(X_513))]]) ).
cnf(refute_0_17,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_18,plain,
( ~ para(X_507,X_508,X_507,X_508)
| coll(X_507,X_508,X_508) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_507)),bind(B,$fot(X_508)),bind(C,$fot(X_508))]]) ).
cnf(refute_0_19,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_20,plain,
( ~ eqangle(X_505,X_506,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_505,X_506,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_505,X_506,X_505,X_506) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_505)),bind(B,$fot(X_506)),bind(C,$fot(X_505)),bind(D,$fot(X_506)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_21,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_22,plain,
( ~ cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_23,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_24,plain,
( ~ cong(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_25,plain,
midp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_26,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_27,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_E)
| midp(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_28,plain,
midp(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_E) )],[refute_0_25,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_30,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_31,plain,
cong(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_A) )],[refute_0_28,refute_0_30]) ).
cnf(refute_0_32,plain,
cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_31,refute_0_24]) ).
cnf(refute_0_33,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_32,refute_0_22]) ).
cnf(refute_0_34,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_35,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_34:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_36,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_33,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_19:[bind(A,$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,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_38,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_40,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_39:[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_41,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_38,refute_0_40]) ).
cnf(refute_0_42,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_503,X_504,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_503,X_504),
inference(subst,[],[refute_0_41:[bind(X_153,$fot(X_503)),bind(X_154,$fot(X_504))]]) ).
cnf(refute_0_43,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_44,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_503,X_504,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_503,X_504)
| eqangle(X_503,X_504,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_503,X_504,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_43:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_503)),bind(D,$fot(X_504)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_503)),bind(V,$fot(X_504))]]) ).
cnf(refute_0_45,plain,
eqangle(X_503,X_504,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_503,X_504,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_503,X_504,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_503,X_504) )],[refute_0_42,refute_0_44]) ).
cnf(refute_0_46,plain,
eqangle(X_505,X_506,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_505,X_506,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_45:[bind(X_503,$fot(X_505)),bind(X_504,$fot(X_506))]]) ).
cnf(refute_0_47,plain,
para(X_505,X_506,X_505,X_506),
inference(resolve,[$cnf( eqangle(X_505,X_506,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_505,X_506,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_46,refute_0_20]) ).
cnf(refute_0_48,plain,
para(X_507,X_508,X_507,X_508),
inference(subst,[],[refute_0_47:[bind(X_505,$fot(X_507)),bind(X_506,$fot(X_508))]]) ).
cnf(refute_0_49,plain,
coll(X_507,X_508,X_508),
inference(resolve,[$cnf( para(X_507,X_508,X_507,X_508) )],[refute_0_48,refute_0_18]) ).
cnf(refute_0_50,plain,
coll(X_512,X_513,X_513),
inference(subst,[],[refute_0_49:[bind(X_507,$fot(X_512)),bind(X_508,$fot(X_513))]]) ).
cnf(refute_0_51,plain,
coll(X_513,X_513,X_512),
inference(resolve,[$cnf( coll(X_512,X_513,X_513) )],[refute_0_50,refute_0_16]) ).
cnf(refute_0_52,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_2552),
inference(subst,[],[refute_0_51:[bind(X_512,$fot(X_2552)),bind(X_513,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_53,plain,
coll(skolemFOFtoCNF_E,X_2552,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_2552) )],[refute_0_52,refute_0_15]) ).
cnf(refute_0_54,plain,
coll(skolemFOFtoCNF_E,X_2563,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_53:[bind(X_2552,$fot(X_2563))]]) ).
cnf(refute_0_55,plain,
coll(X_2563,skolemFOFtoCNF_E,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,X_2563,skolemFOFtoCNF_D) )],[refute_0_54,refute_0_10]) ).
cnf(refute_0_56,plain,
coll(X_2586,skolemFOFtoCNF_E,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_55:[bind(X_2563,$fot(X_2586))]]) ).
cnf(refute_0_57,plain,
( ~ coll(X_2586,skolemFOFtoCNF_E,C)
| coll(C,skolemFOFtoCNF_D,X_2586) ),
inference(resolve,[$cnf( coll(X_2586,skolemFOFtoCNF_E,skolemFOFtoCNF_D) )],[refute_0_56,refute_0_8]) ).
cnf(refute_0_58,plain,
coll(X_2550,X_2550,X_2551),
inference(subst,[],[refute_0_51:[bind(X_512,$fot(X_2551)),bind(X_513,$fot(X_2550))]]) ).
cnf(refute_0_59,plain,
( ~ coll(X_2550,X_2550,X_2551)
| ~ coll(X_2550,X_2550,X_2552)
| coll(X_2551,X_2552,X_2550) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_2550)),bind(B,$fot(X_2550)),bind(C,$fot(X_2551)),bind(D,$fot(X_2552))]]) ).
cnf(refute_0_60,plain,
( ~ coll(X_2550,X_2550,X_2552)
| coll(X_2551,X_2552,X_2550) ),
inference(resolve,[$cnf( coll(X_2550,X_2550,X_2551) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
coll(X_2550,X_2550,X_2552),
inference(subst,[],[refute_0_51:[bind(X_512,$fot(X_2552)),bind(X_513,$fot(X_2550))]]) ).
cnf(refute_0_62,plain,
coll(X_2551,X_2552,X_2550),
inference(resolve,[$cnf( coll(X_2550,X_2550,X_2552) )],[refute_0_61,refute_0_60]) ).
cnf(refute_0_63,plain,
coll(X_2586,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_62:[bind(X_2550,$fot(C)),bind(X_2551,$fot(X_2586)),bind(X_2552,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_64,plain,
coll(C,skolemFOFtoCNF_D,X_2586),
inference(resolve,[$cnf( coll(X_2586,skolemFOFtoCNF_E,C) )],[refute_0_63,refute_0_57]) ).
cnf(refute_0_65,plain,
coll(X_2607,skolemFOFtoCNF_D,X_2608),
inference(subst,[],[refute_0_64:[bind(C,$fot(X_2607)),bind(X_2586,$fot(X_2608))]]) ).
cnf(refute_0_66,plain,
( ~ coll(X_2607,skolemFOFtoCNF_D,C)
| coll(C,X_2608,X_2607) ),
inference(resolve,[$cnf( coll(X_2607,skolemFOFtoCNF_D,X_2608) )],[refute_0_65,refute_0_7]) ).
cnf(refute_0_67,plain,
( ~ coll(X_2605,skolemFOFtoCNF_B_1,C)
| ~ coll(X_2605,skolemFOFtoCNF_B_1,X_2606)
| coll(C,X_2606,X_2605) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_2605)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_2606))]]) ).
cnf(refute_0_68,plain,
( ~ coll(X_2579,skolemFOFtoCNF_G,C)
| ~ coll(X_2579,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_2579) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_2579)),bind(B,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_69,plain,
( ~ coll(skolemFOFtoCNF_G,X_2554,skolemFOFtoCNF_B_1)
| coll(X_2554,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(X_2554)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_70,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_71,plain,
midp(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_72,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_73,plain,
( ~ midp(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_74,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_71,refute_0_73]) ).
cnf(refute_0_75,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_74,refute_0_70]) ).
cnf(refute_0_76,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2552)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,X_2552,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_2552))]]) ).
cnf(refute_0_77,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2552)
| coll(skolemFOFtoCNF_G,X_2552,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2552),
inference(subst,[],[refute_0_51:[bind(X_512,$fot(X_2552)),bind(X_513,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_79,plain,
coll(skolemFOFtoCNF_G,X_2552,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2552) )],[refute_0_78,refute_0_77]) ).
cnf(refute_0_80,plain,
coll(skolemFOFtoCNF_G,X_2554,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_79:[bind(X_2552,$fot(X_2554))]]) ).
cnf(refute_0_81,plain,
coll(X_2554,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,X_2554,skolemFOFtoCNF_B_1) )],[refute_0_80,refute_0_69]) ).
cnf(refute_0_82,plain,
coll(X_2579,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_81:[bind(X_2554,$fot(X_2579))]]) ).
cnf(refute_0_83,plain,
( ~ coll(X_2579,skolemFOFtoCNF_G,C)
| coll(C,skolemFOFtoCNF_B_1,X_2579) ),
inference(resolve,[$cnf( coll(X_2579,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) )],[refute_0_82,refute_0_68]) ).
cnf(refute_0_84,plain,
coll(X_2579,skolemFOFtoCNF_G,C),
inference(subst,[],[refute_0_62:[bind(X_2550,$fot(C)),bind(X_2551,$fot(X_2579)),bind(X_2552,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_85,plain,
coll(C,skolemFOFtoCNF_B_1,X_2579),
inference(resolve,[$cnf( coll(X_2579,skolemFOFtoCNF_G,C) )],[refute_0_84,refute_0_83]) ).
cnf(refute_0_86,plain,
coll(X_2605,skolemFOFtoCNF_B_1,X_2606),
inference(subst,[],[refute_0_85:[bind(C,$fot(X_2605)),bind(X_2579,$fot(X_2606))]]) ).
cnf(refute_0_87,plain,
( ~ coll(X_2605,skolemFOFtoCNF_B_1,C)
| coll(C,X_2606,X_2605) ),
inference(resolve,[$cnf( coll(X_2605,skolemFOFtoCNF_B_1,X_2606) )],[refute_0_86,refute_0_67]) ).
cnf(refute_0_88,plain,
( ~ coll(X_2600,skolemFOFtoCNF_F,C)
| ~ coll(X_2600,skolemFOFtoCNF_F,X_2601)
| coll(C,X_2601,X_2600) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_2600)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_2601))]]) ).
cnf(refute_0_89,plain,
( ~ coll(X_2599,skolemFOFtoCNF_A,C)
| ~ coll(X_2599,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| coll(C,skolemFOFtoCNF_F,X_2599) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_2599)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_90,plain,
( ~ coll(skolemFOFtoCNF_F,X_2572,C)
| ~ coll(skolemFOFtoCNF_F,X_2572,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(X_2572)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_91,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_92,plain,
( ~ midp(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_72:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_93,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_A) )],[refute_0_28,refute_0_92]) ).
cnf(refute_0_94,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_A) )],[refute_0_93,refute_0_91]) ).
cnf(refute_0_95,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2552)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,X_2552,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_2552))]]) ).
cnf(refute_0_96,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2552)
| coll(skolemFOFtoCNF_F,X_2552,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2552),
inference(subst,[],[refute_0_51:[bind(X_512,$fot(X_2552)),bind(X_513,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_98,plain,
coll(skolemFOFtoCNF_F,X_2552,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_2552) )],[refute_0_97,refute_0_96]) ).
cnf(refute_0_99,plain,
coll(skolemFOFtoCNF_F,X_2572,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_98:[bind(X_2552,$fot(X_2572))]]) ).
cnf(refute_0_100,plain,
( ~ coll(skolemFOFtoCNF_F,X_2572,C)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,X_2572,skolemFOFtoCNF_A) )],[refute_0_99,refute_0_90]) ).
cnf(refute_0_101,plain,
coll(skolemFOFtoCNF_F,X_2572,C),
inference(subst,[],[refute_0_62:[bind(X_2550,$fot(C)),bind(X_2551,$fot(skolemFOFtoCNF_F)),bind(X_2552,$fot(X_2572))]]) ).
cnf(refute_0_102,plain,
coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,X_2572,C) )],[refute_0_101,refute_0_100]) ).
cnf(refute_0_103,plain,
coll(X_2599,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_102:[bind(C,$fot(X_2599))]]) ).
cnf(refute_0_104,plain,
( ~ coll(X_2599,skolemFOFtoCNF_A,C)
| coll(C,skolemFOFtoCNF_F,X_2599) ),
inference(resolve,[$cnf( coll(X_2599,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_103,refute_0_89]) ).
cnf(refute_0_105,plain,
( ~ coll(X_2590,skolemFOFtoCNF_C_1,C)
| ~ coll(X_2590,skolemFOFtoCNF_C_1,X_2591)
| coll(C,X_2591,X_2590) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_2590)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_2591))]]) ).
cnf(refute_0_106,plain,
( ~ coll(X_2570,skolemFOFtoCNF_B_1,C)
| ~ coll(X_2570,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,X_2570) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_2570)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_107,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_2559,skolemFOFtoCNF_C_1)
| coll(X_2559,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2559)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_108,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_109,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_110,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_111,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_74,refute_0_110]) ).
cnf(refute_0_112,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) )],[refute_0_111,refute_0_109]) ).
cnf(refute_0_113,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_112,refute_0_108]) ).
cnf(refute_0_114,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_2552)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_2552,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_2552))]]) ).
cnf(refute_0_115,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_2552)
| coll(skolemFOFtoCNF_B_1,X_2552,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_2552),
inference(subst,[],[refute_0_51:[bind(X_512,$fot(X_2552)),bind(X_513,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_117,plain,
coll(skolemFOFtoCNF_B_1,X_2552,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_2552) )],[refute_0_116,refute_0_115]) ).
cnf(refute_0_118,plain,
coll(skolemFOFtoCNF_B_1,X_2559,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_117:[bind(X_2552,$fot(X_2559))]]) ).
cnf(refute_0_119,plain,
coll(X_2559,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_2559,skolemFOFtoCNF_C_1) )],[refute_0_118,refute_0_107]) ).
cnf(refute_0_120,plain,
coll(X_2570,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_119:[bind(X_2559,$fot(X_2570))]]) ).
cnf(refute_0_121,plain,
( ~ coll(X_2570,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_C_1,X_2570) ),
inference(resolve,[$cnf( coll(X_2570,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_120,refute_0_106]) ).
cnf(refute_0_122,plain,
coll(X_2570,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_62:[bind(X_2550,$fot(C)),bind(X_2551,$fot(X_2570)),bind(X_2552,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_123,plain,
coll(C,skolemFOFtoCNF_C_1,X_2570),
inference(resolve,[$cnf( coll(X_2570,skolemFOFtoCNF_B_1,C) )],[refute_0_122,refute_0_121]) ).
cnf(refute_0_124,plain,
coll(X_2590,skolemFOFtoCNF_C_1,X_2591),
inference(subst,[],[refute_0_123:[bind(C,$fot(X_2590)),bind(X_2570,$fot(X_2591))]]) ).
cnf(refute_0_125,plain,
( ~ coll(X_2590,skolemFOFtoCNF_C_1,C)
| coll(C,X_2591,X_2590) ),
inference(resolve,[$cnf( coll(X_2590,skolemFOFtoCNF_C_1,X_2591) )],[refute_0_124,refute_0_105]) ).
cnf(refute_0_126,plain,
coll(X_2590,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_62:[bind(X_2550,$fot(C)),bind(X_2551,$fot(X_2590)),bind(X_2552,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_127,plain,
coll(C,X_2591,X_2590),
inference(resolve,[$cnf( coll(X_2590,skolemFOFtoCNF_C_1,C) )],[refute_0_126,refute_0_125]) ).
cnf(refute_0_128,plain,
coll(X_2599,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_127:[bind(C,$fot(X_2599)),bind(X_2590,$fot(C)),bind(X_2591,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_129,plain,
coll(C,skolemFOFtoCNF_F,X_2599),
inference(resolve,[$cnf( coll(X_2599,skolemFOFtoCNF_A,C) )],[refute_0_128,refute_0_104]) ).
cnf(refute_0_130,plain,
coll(X_2600,skolemFOFtoCNF_F,X_2601),
inference(subst,[],[refute_0_129:[bind(C,$fot(X_2600)),bind(X_2599,$fot(X_2601))]]) ).
cnf(refute_0_131,plain,
( ~ coll(X_2600,skolemFOFtoCNF_F,C)
| coll(C,X_2601,X_2600) ),
inference(resolve,[$cnf( coll(X_2600,skolemFOFtoCNF_F,X_2601) )],[refute_0_130,refute_0_88]) ).
cnf(refute_0_132,plain,
coll(X_2600,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_127:[bind(C,$fot(X_2600)),bind(X_2590,$fot(C)),bind(X_2591,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_133,plain,
coll(C,X_2601,X_2600),
inference(resolve,[$cnf( coll(X_2600,skolemFOFtoCNF_F,C) )],[refute_0_132,refute_0_131]) ).
cnf(refute_0_134,plain,
coll(X_2605,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_133:[bind(C,$fot(X_2605)),bind(X_2600,$fot(C)),bind(X_2601,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_135,plain,
coll(C,X_2606,X_2605),
inference(resolve,[$cnf( coll(X_2605,skolemFOFtoCNF_B_1,C) )],[refute_0_134,refute_0_87]) ).
cnf(refute_0_136,plain,
coll(X_2607,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_135:[bind(C,$fot(X_2607)),bind(X_2605,$fot(C)),bind(X_2606,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_137,plain,
coll(C,X_2608,X_2607),
inference(resolve,[$cnf( coll(X_2607,skolemFOFtoCNF_D,C) )],[refute_0_136,refute_0_66]) ).
cnf(refute_0_138,plain,
coll(O,A,C),
inference(subst,[],[refute_0_137:[bind(C,$fot(O)),bind(X_2607,$fot(C)),bind(X_2608,$fot(A))]]) ).
cnf(refute_0_139,plain,
( ~ circle(O,A,B,C)
| perp(A,B,B,C) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_138,refute_0_5]) ).
cnf(refute_0_140,plain,
( ~ circle(X_9225,X_9222,X_9223,X_9224)
| perp(X_9222,X_9223,X_9223,X_9224) ),
inference(subst,[],[refute_0_139:[bind(A,$fot(X_9222)),bind(B,$fot(X_9223)),bind(C,$fot(X_9224)),bind(O,$fot(X_9225))]]) ).
cnf(refute_0_141,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_142,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_143,plain,
( ~ cong(X_3407,X_3408,X_3409,X_3407)
| cong(X_3407,X_3408,X_3407,X_3409) ),
inference(subst,[],[refute_0_142:[bind(A,$fot(X_3407)),bind(B,$fot(X_3408)),bind(C,$fot(X_3409)),bind(D,$fot(X_3407))]]) ).
cnf(refute_0_144,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_145,plain,
( ~ cong(X_3390,X_3388,X_3388,X_3389)
| cong(X_3388,X_3389,X_3390,X_3388) ),
inference(subst,[],[refute_0_144:[bind(A,$fot(X_3390)),bind(B,$fot(X_3388)),bind(C,$fot(X_3388)),bind(D,$fot(X_3389))]]) ).
cnf(refute_0_146,plain,
( ~ cong(X_3387,X_3385,X_3386,X_3385)
| cong(X_3387,X_3385,X_3385,X_3386) ),
inference(subst,[],[refute_0_142:[bind(A,$fot(X_3387)),bind(B,$fot(X_3385)),bind(C,$fot(X_3386)),bind(D,$fot(X_3385))]]) ).
cnf(refute_0_147,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_148,plain,
( ~ midp(M,X_3368,X_3368)
| ~ perp(X_3368,X_3367,X_3367,X_3368)
| cong(X_3368,M,X_3367,M) ),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_3368)),bind(B,$fot(X_3367)),bind(C,$fot(X_3368))]]) ).
cnf(refute_0_149,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_47]) ).
cnf(refute_0_150,plain,
( ~ cong(X_3365,X_3366,X_3365,X_3366)
| ~ cyclic(X_3365,X_3365,X_3366,X_3366)
| perp(X_3366,X_3365,X_3365,X_3366) ),
inference(subst,[],[refute_0_149:[bind(A,$fot(X_3365)),bind(B,$fot(X_3365)),bind(P,$fot(X_3366)),bind(Q,$fot(X_3366))]]) ).
cnf(refute_0_151,plain,
( ~ cyclic(X_3363,X_3363,X_3363,X_3364)
| cyclic(X_3363,X_3363,X_3364,X_3364) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_3363)),bind(B,$fot(X_3363)),bind(C,$fot(X_3363)),bind(D,$fot(X_3364)),bind(E,$fot(X_3364))]]) ).
cnf(refute_0_152,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_153,plain,
( ~ cyclic(X_3361,X_3361,X_3362,X_3361)
| cyclic(X_3361,X_3361,X_3361,X_3362) ),
inference(subst,[],[refute_0_152:[bind(A,$fot(X_3361)),bind(B,$fot(X_3361)),bind(C,$fot(X_3362)),bind(D,$fot(X_3361))]]) ).
cnf(refute_0_154,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_155,plain,
( ~ cyclic(X_3359,X_3360,X_3359,X_3359)
| cyclic(X_3359,X_3359,X_3360,X_3359) ),
inference(subst,[],[refute_0_154:[bind(A,$fot(X_3359)),bind(B,$fot(X_3360)),bind(C,$fot(X_3359)),bind(D,$fot(X_3359))]]) ).
cnf(refute_0_156,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_157,plain,
( ~ cyclic(X_3358,X_3357,X_3357,X_3357)
| cyclic(X_3357,X_3358,X_3357,X_3357) ),
inference(subst,[],[refute_0_156:[bind(A,$fot(X_3358)),bind(B,$fot(X_3357)),bind(C,$fot(X_3357)),bind(D,$fot(X_3357))]]) ).
cnf(refute_0_158,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_3356,X_3355),X_3356,skolemFOFtoCNF_P_1(X_3356,X_3355),X_3355)
| cyclic(X_3356,X_3355,X_3355,X_3355) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_3356)),bind(B,$fot(X_3355)),bind(C,$fot(X_3355)),bind(D,$fot(X_3355)),bind(O,$fot(skolemFOFtoCNF_P_1(X_3356,X_3355)))]]) ).
cnf(refute_0_159,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_2734,X_2733),X_2734,X_2733)
| cong(skolemFOFtoCNF_P_1(X_2734,X_2733),X_2734,skolemFOFtoCNF_P_1(X_2734,X_2733),X_2733) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_P_1(X_2734,X_2733))),bind(B,$fot(X_2734)),bind(C,$fot(X_2733))]]) ).
cnf(refute_0_160,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_161,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_160:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_162,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_163,plain,
( ~ coll(X_515,X_515,X_514)
| coll(X_515,X_514,X_515) ),
inference(subst,[],[refute_0_162:[bind(A,$fot(X_515)),bind(B,$fot(X_515)),bind(C,$fot(X_514))]]) ).
cnf(refute_0_164,plain,
coll(X_515,X_515,X_514),
inference(subst,[],[refute_0_51:[bind(X_512,$fot(X_514)),bind(X_513,$fot(X_515))]]) ).
cnf(refute_0_165,plain,
coll(X_515,X_514,X_515),
inference(resolve,[$cnf( coll(X_515,X_515,X_514) )],[refute_0_164,refute_0_163]) ).
cnf(refute_0_166,plain,
coll(D,D,D),
inference(subst,[],[refute_0_165:[bind(X_514,$fot(D)),bind(X_515,$fot(D))]]) ).
cnf(refute_0_167,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_166,refute_0_161]) ).
cnf(refute_0_168,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_2704,X_2704)
| midp(skolemFOFtoCNF_P_1(X_2704,Q),X_2704,Q) ),
inference(subst,[],[refute_0_167:[bind(D,$fot(X_2704)),bind(N,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_169,plain,
para(X_2663,X_2664,X_2663,X_2664),
inference(subst,[],[refute_0_47:[bind(X_505,$fot(X_2663)),bind(X_506,$fot(X_2664))]]) ).
cnf(refute_0_170,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_171,plain,
( ~ midp(X_2665,X_2663,X_2663)
| ~ para(X_2663,X_2664,X_2663,X_2664)
| midp(X_2665,X_2664,X_2664) ),
inference(subst,[],[refute_0_170:[bind(A,$fot(X_2663)),bind(B,$fot(X_2663)),bind(C,$fot(X_2664)),bind(D,$fot(X_2664)),bind(M,$fot(X_2665))]]) ).
cnf(refute_0_172,plain,
( ~ midp(X_2665,X_2663,X_2663)
| midp(X_2665,X_2664,X_2664) ),
inference(resolve,[$cnf( para(X_2663,X_2664,X_2663,X_2664) )],[refute_0_169,refute_0_171]) ).
cnf(refute_0_173,plain,
( ~ midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G))
| midp(skolemFOFtoCNF_B_1,X_2664,X_2664) ),
inference(subst,[],[refute_0_172:[bind(X_2663,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G))),bind(X_2665,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_174,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_175,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G))
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G))
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G)) ),
inference(subst,[],[refute_0_174:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G))),bind(C,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G)))]]) ).
cnf(refute_0_176,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| ~ perp(skolemFOFtoCNF_B_1,B,B,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),B,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G)) ),
inference(subst,[],[refute_0_147:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G)))]]) ).
cnf(refute_0_177,plain,
( ~ midp(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_178,plain,
midp(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_71,refute_0_177]) ).
cnf(refute_0_179,plain,
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_180,plain,
( ~ midp(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_179:[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,$fot(skolemFOFtoCNF_G)),bind(N,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_181,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_178,refute_0_180]) ).
cnf(refute_0_182,plain,
( ~ perp(skolemFOFtoCNF_B_1,B,B,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),B,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G)) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_181,refute_0_176]) ).
cnf(refute_0_183,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G)) ),
inference(subst,[],[refute_0_182:[bind(B,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_184,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_185,plain,
( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_186,plain,
( ~ cong(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1)
| circle(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_141:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_187,plain,
( ~ midp(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_188,plain,
cong(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_71,refute_0_187]) ).
cnf(refute_0_189,plain,
circle(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) )],[refute_0_188,refute_0_186]) ).
cnf(refute_0_190,plain,
( ~ circle(skolemFOFtoCNF_G,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_139:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_191,plain,
perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_G,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_191,refute_0_185]) ).
cnf(refute_0_193,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_192,refute_0_184]) ).
cnf(refute_0_194,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G)),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_193,refute_0_183]) ).
cnf(refute_0_195,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G))
| midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G)) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G)) )],[refute_0_194,refute_0_175]) ).
cnf(refute_0_196,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G)),
inference(subst,[],[refute_0_137:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_2607,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G))),bind(X_2608,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G)))]]) ).
cnf(refute_0_197,plain,
midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G)),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G)) )],[refute_0_196,refute_0_195]) ).
cnf(refute_0_198,plain,
midp(skolemFOFtoCNF_B_1,X_2664,X_2664),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_G)) )],[refute_0_197,refute_0_173]) ).
cnf(refute_0_199,plain,
midp(skolemFOFtoCNF_B_1,X_2704,X_2704),
inference(subst,[],[refute_0_198:[bind(X_2664,$fot(X_2704))]]) ).
cnf(refute_0_200,plain,
midp(skolemFOFtoCNF_P_1(X_2704,Q),X_2704,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_2704,X_2704) )],[refute_0_199,refute_0_168]) ).
cnf(refute_0_201,plain,
midp(skolemFOFtoCNF_P_1(X_2734,X_2733),X_2734,X_2733),
inference(subst,[],[refute_0_200:[bind(Q,$fot(X_2733)),bind(X_2704,$fot(X_2734))]]) ).
cnf(refute_0_202,plain,
cong(skolemFOFtoCNF_P_1(X_2734,X_2733),X_2734,skolemFOFtoCNF_P_1(X_2734,X_2733),X_2733),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_2734,X_2733),X_2734,X_2733) )],[refute_0_201,refute_0_159]) ).
cnf(refute_0_203,plain,
cong(skolemFOFtoCNF_P_1(X_3356,X_3355),X_3356,skolemFOFtoCNF_P_1(X_3356,X_3355),X_3355),
inference(subst,[],[refute_0_202:[bind(X_2733,$fot(X_3355)),bind(X_2734,$fot(X_3356))]]) ).
cnf(refute_0_204,plain,
cyclic(X_3356,X_3355,X_3355,X_3355),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_3356,X_3355),X_3356,skolemFOFtoCNF_P_1(X_3356,X_3355),X_3355) )],[refute_0_203,refute_0_158]) ).
cnf(refute_0_205,plain,
cyclic(X_3358,X_3357,X_3357,X_3357),
inference(subst,[],[refute_0_204:[bind(X_3355,$fot(X_3357)),bind(X_3356,$fot(X_3358))]]) ).
cnf(refute_0_206,plain,
cyclic(X_3357,X_3358,X_3357,X_3357),
inference(resolve,[$cnf( cyclic(X_3358,X_3357,X_3357,X_3357) )],[refute_0_205,refute_0_157]) ).
cnf(refute_0_207,plain,
cyclic(X_3359,X_3360,X_3359,X_3359),
inference(subst,[],[refute_0_206:[bind(X_3357,$fot(X_3359)),bind(X_3358,$fot(X_3360))]]) ).
cnf(refute_0_208,plain,
cyclic(X_3359,X_3359,X_3360,X_3359),
inference(resolve,[$cnf( cyclic(X_3359,X_3360,X_3359,X_3359) )],[refute_0_207,refute_0_155]) ).
cnf(refute_0_209,plain,
cyclic(X_3361,X_3361,X_3362,X_3361),
inference(subst,[],[refute_0_208:[bind(X_3359,$fot(X_3361)),bind(X_3360,$fot(X_3362))]]) ).
cnf(refute_0_210,plain,
cyclic(X_3361,X_3361,X_3361,X_3362),
inference(resolve,[$cnf( cyclic(X_3361,X_3361,X_3362,X_3361) )],[refute_0_209,refute_0_153]) ).
cnf(refute_0_211,plain,
cyclic(X_3363,X_3363,X_3363,X_3364),
inference(subst,[],[refute_0_210:[bind(X_3361,$fot(X_3363)),bind(X_3362,$fot(X_3364))]]) ).
cnf(refute_0_212,plain,
cyclic(X_3363,X_3363,X_3364,X_3364),
inference(resolve,[$cnf( cyclic(X_3363,X_3363,X_3363,X_3364) )],[refute_0_211,refute_0_151]) ).
cnf(refute_0_213,plain,
cyclic(X_3365,X_3365,X_3366,X_3366),
inference(subst,[],[refute_0_212:[bind(X_3363,$fot(X_3365)),bind(X_3364,$fot(X_3366))]]) ).
cnf(refute_0_214,plain,
( ~ cong(X_3365,X_3366,X_3365,X_3366)
| perp(X_3366,X_3365,X_3365,X_3366) ),
inference(resolve,[$cnf( cyclic(X_3365,X_3365,X_3366,X_3366) )],[refute_0_213,refute_0_150]) ).
cnf(refute_0_215,plain,
( ~ midp(X_2732,X_2731,X_2731)
| cong(X_2732,X_2731,X_2732,X_2731) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2732)),bind(B,$fot(X_2731)),bind(C,$fot(X_2731))]]) ).
cnf(refute_0_216,plain,
( ~ midp(X_2730,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_2730,X_2664,X_2664) ),
inference(subst,[],[refute_0_172:[bind(X_2663,$fot(skolemFOFtoCNF_B_1)),bind(X_2665,$fot(X_2730))]]) ).
cnf(refute_0_217,plain,
( ~ coll(X_2729,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ cong(X_2729,skolemFOFtoCNF_B_1,X_2729,skolemFOFtoCNF_B_1)
| midp(X_2729,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_174:[bind(A,$fot(X_2729)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_218,plain,
( ~ cong(X_2728,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2728)
| cong(X_2728,skolemFOFtoCNF_B_1,X_2728,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_142:[bind(A,$fot(X_2728)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_2728))]]) ).
cnf(refute_0_219,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_2714,X_2714,skolemFOFtoCNF_B_1)
| cong(X_2714,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2714) ),
inference(subst,[],[refute_0_144:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2714)),bind(C,$fot(X_2714)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_220,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_2710,skolemFOFtoCNF_B_1,X_2710)
| cong(skolemFOFtoCNF_B_1,X_2710,X_2710,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_142:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2710)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_2710))]]) ).
cnf(refute_0_221,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_2704,X_2704)
| cong(skolemFOFtoCNF_B_1,X_2704,skolemFOFtoCNF_B_1,X_2704) ),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2704)),bind(C,$fot(X_2704))]]) ).
cnf(refute_0_222,plain,
cong(skolemFOFtoCNF_B_1,X_2704,skolemFOFtoCNF_B_1,X_2704),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_2704,X_2704) )],[refute_0_199,refute_0_221]) ).
cnf(refute_0_223,plain,
cong(skolemFOFtoCNF_B_1,X_2710,skolemFOFtoCNF_B_1,X_2710),
inference(subst,[],[refute_0_222:[bind(X_2704,$fot(X_2710))]]) ).
cnf(refute_0_224,plain,
cong(skolemFOFtoCNF_B_1,X_2710,X_2710,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_2710,skolemFOFtoCNF_B_1,X_2710) )],[refute_0_223,refute_0_220]) ).
cnf(refute_0_225,plain,
cong(skolemFOFtoCNF_B_1,X_2714,X_2714,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_224:[bind(X_2710,$fot(X_2714))]]) ).
cnf(refute_0_226,plain,
cong(X_2714,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2714),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_2714,X_2714,skolemFOFtoCNF_B_1) )],[refute_0_225,refute_0_219]) ).
cnf(refute_0_227,plain,
cong(X_2728,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2728),
inference(subst,[],[refute_0_226:[bind(X_2714,$fot(X_2728))]]) ).
cnf(refute_0_228,plain,
cong(X_2728,skolemFOFtoCNF_B_1,X_2728,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(X_2728,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2728) )],[refute_0_227,refute_0_218]) ).
cnf(refute_0_229,plain,
cong(X_2729,skolemFOFtoCNF_B_1,X_2729,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_228:[bind(X_2728,$fot(X_2729))]]) ).
cnf(refute_0_230,plain,
( ~ coll(X_2729,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| midp(X_2729,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(X_2729,skolemFOFtoCNF_B_1,X_2729,skolemFOFtoCNF_B_1) )],[refute_0_229,refute_0_217]) ).
cnf(refute_0_231,plain,
coll(X_2729,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_137:[bind(C,$fot(X_2729)),bind(X_2607,$fot(skolemFOFtoCNF_B_1)),bind(X_2608,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_232,plain,
midp(X_2729,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(X_2729,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_231,refute_0_230]) ).
cnf(refute_0_233,plain,
midp(X_2730,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_232:[bind(X_2729,$fot(X_2730))]]) ).
cnf(refute_0_234,plain,
midp(X_2730,X_2664,X_2664),
inference(resolve,[$cnf( midp(X_2730,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_233,refute_0_216]) ).
cnf(refute_0_235,plain,
midp(X_2732,X_2731,X_2731),
inference(subst,[],[refute_0_234:[bind(X_2664,$fot(X_2731)),bind(X_2730,$fot(X_2732))]]) ).
cnf(refute_0_236,plain,
cong(X_2732,X_2731,X_2732,X_2731),
inference(resolve,[$cnf( midp(X_2732,X_2731,X_2731) )],[refute_0_235,refute_0_215]) ).
cnf(refute_0_237,plain,
cong(X_3365,X_3366,X_3365,X_3366),
inference(subst,[],[refute_0_236:[bind(X_2731,$fot(X_3366)),bind(X_2732,$fot(X_3365))]]) ).
cnf(refute_0_238,plain,
perp(X_3366,X_3365,X_3365,X_3366),
inference(resolve,[$cnf( cong(X_3365,X_3366,X_3365,X_3366) )],[refute_0_237,refute_0_214]) ).
cnf(refute_0_239,plain,
perp(X_3368,X_3367,X_3367,X_3368),
inference(subst,[],[refute_0_238:[bind(X_3365,$fot(X_3367)),bind(X_3366,$fot(X_3368))]]) ).
cnf(refute_0_240,plain,
( ~ midp(M,X_3368,X_3368)
| cong(X_3368,M,X_3367,M) ),
inference(resolve,[$cnf( perp(X_3368,X_3367,X_3367,X_3368) )],[refute_0_239,refute_0_148]) ).
cnf(refute_0_241,plain,
midp(M,X_3368,X_3368),
inference(subst,[],[refute_0_234:[bind(X_2664,$fot(X_3368)),bind(X_2730,$fot(M))]]) ).
cnf(refute_0_242,plain,
cong(X_3368,M,X_3367,M),
inference(resolve,[$cnf( midp(M,X_3368,X_3368) )],[refute_0_241,refute_0_240]) ).
cnf(refute_0_243,plain,
cong(X_3387,X_3385,X_3386,X_3385),
inference(subst,[],[refute_0_242:[bind(M,$fot(X_3385)),bind(X_3367,$fot(X_3386)),bind(X_3368,$fot(X_3387))]]) ).
cnf(refute_0_244,plain,
cong(X_3387,X_3385,X_3385,X_3386),
inference(resolve,[$cnf( cong(X_3387,X_3385,X_3386,X_3385) )],[refute_0_243,refute_0_146]) ).
cnf(refute_0_245,plain,
cong(X_3390,X_3388,X_3388,X_3389),
inference(subst,[],[refute_0_244:[bind(X_3385,$fot(X_3388)),bind(X_3386,$fot(X_3389)),bind(X_3387,$fot(X_3390))]]) ).
cnf(refute_0_246,plain,
cong(X_3388,X_3389,X_3390,X_3388),
inference(resolve,[$cnf( cong(X_3390,X_3388,X_3388,X_3389) )],[refute_0_245,refute_0_145]) ).
cnf(refute_0_247,plain,
cong(X_3407,X_3408,X_3409,X_3407),
inference(subst,[],[refute_0_246:[bind(X_3388,$fot(X_3407)),bind(X_3389,$fot(X_3408)),bind(X_3390,$fot(X_3409))]]) ).
cnf(refute_0_248,plain,
cong(X_3407,X_3408,X_3407,X_3409),
inference(resolve,[$cnf( cong(X_3407,X_3408,X_3409,X_3407) )],[refute_0_247,refute_0_143]) ).
cnf(refute_0_249,plain,
cong(O,A,O,B),
inference(subst,[],[refute_0_248:[bind(X_3407,$fot(O)),bind(X_3408,$fot(A)),bind(X_3409,$fot(B))]]) ).
cnf(refute_0_250,plain,
( ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(resolve,[$cnf( cong(O,A,O,B) )],[refute_0_249,refute_0_141]) ).
cnf(refute_0_251,plain,
cong(O,A,O,C),
inference(subst,[],[refute_0_248:[bind(X_3407,$fot(O)),bind(X_3408,$fot(A)),bind(X_3409,$fot(C))]]) ).
cnf(refute_0_252,plain,
circle(O,A,B,C),
inference(resolve,[$cnf( cong(O,A,O,C) )],[refute_0_251,refute_0_250]) ).
cnf(refute_0_253,plain,
circle(X_9225,X_9222,X_9223,X_9224),
inference(subst,[],[refute_0_252:[bind(A,$fot(X_9222)),bind(B,$fot(X_9223)),bind(C,$fot(X_9224)),bind(O,$fot(X_9225))]]) ).
cnf(refute_0_254,plain,
perp(X_9222,X_9223,X_9223,X_9224),
inference(resolve,[$cnf( circle(X_9225,X_9222,X_9223,X_9224) )],[refute_0_253,refute_0_140]) ).
cnf(refute_0_255,plain,
perp(X_9226,X_9227,X_9227,X_9228),
inference(subst,[],[refute_0_254:[bind(X_9222,$fot(X_9226)),bind(X_9223,$fot(X_9227)),bind(X_9224,$fot(X_9228))]]) ).
cnf(refute_0_256,plain,
perp(X_9227,X_9228,X_9226,X_9227),
inference(resolve,[$cnf( perp(X_9226,X_9227,X_9227,X_9228) )],[refute_0_255,refute_0_4]) ).
cnf(refute_0_257,plain,
perp(X_9230,X_9231,X_9229,X_9230),
inference(subst,[],[refute_0_256:[bind(X_9226,$fot(X_9229)),bind(X_9227,$fot(X_9230)),bind(X_9228,$fot(X_9231))]]) ).
cnf(refute_0_258,plain,
perp(X_9230,X_9231,X_9230,X_9229),
inference(resolve,[$cnf( perp(X_9230,X_9231,X_9229,X_9230) )],[refute_0_257,refute_0_2]) ).
cnf(refute_0_259,plain,
perp(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_258:[bind(X_9229,$fot(skolemFOFtoCNF_F)),bind(X_9230,$fot(skolemFOFtoCNF_D)),bind(X_9231,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_260,plain,
$false,
inference(resolve,[$cnf( perp(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F) )],[refute_0_259,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO604+1 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 01:51:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 35.03/35.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.03/35.25
% 35.03/35.25 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 35.11/35.27
%------------------------------------------------------------------------------