TSTP Solution File: GEO623+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO623+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 05:27:44 EDT 2022
% Result : Theorem 42.64s 42.83s
% Output : CNFRefutation 42.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 27
% Syntax : Number of formulae : 320 ( 122 unt; 0 def)
% Number of atoms : 638 ( 0 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 558 ( 240 ~; 235 |; 54 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-6 aty)
% Number of variables : 786 ( 86 sgn 394 !; 14 ?)
% 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(ruleD4,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(A,B,D,C) ) ).
fof(ruleD5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ) ).
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(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(exemplo6GDDFULL8110986,conjecture,
! [A,B,C,D,E,F,G,H] :
( ( midp(D,C,A)
& midp(E,B,C)
& midp(F,A,B)
& eqangle(G,B,B,C,G,B,B,A)
& coll(G,D,F)
& coll(H,B,G)
& coll(H,D,E) )
=> cong(D,G,D,H) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E,F,G,H] :
( ( midp(D,C,A)
& midp(E,B,C)
& midp(F,A,B)
& eqangle(G,B,B,C,G,B,B,A)
& coll(G,D,F)
& coll(H,B,G)
& coll(H,D,E) )
=> cong(D,G,D,H) ),
inference(strip,[],[exemplo6GDDFULL8110986]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E,F,G,H] :
( ( midp(D,C,A)
& midp(E,B,C)
& midp(F,A,B)
& eqangle(G,B,B,C,G,B,B,A)
& coll(G,D,F)
& coll(H,B,G)
& coll(H,D,E) )
=> cong(D,G,D,H) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F,G,H] :
( ~ cong(D,G,D,H)
& coll(G,D,F)
& coll(H,B,G)
& coll(H,D,E)
& eqangle(G,B,B,C,G,B,B,A)
& midp(D,C,A)
& midp(E,B,C)
& midp(F,A,B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ cong(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_H)
& coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F)
& coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_G)
& coll(skolemFOFtoCNF_H,skolemFOFtoCNF_D,skolemFOFtoCNF_E)
& eqangle(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
& midp(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
& midp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& midp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ cong(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_H),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[ruleD23]) ).
fof(normalize_0_4,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[ruleD24]) ).
fof(normalize_0_6,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C,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_8,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_7]) ).
fof(normalize_0_9,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[ruleD67]) ).
fof(normalize_0_10,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[ruleD68]) ).
fof(normalize_0_12,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[ruleD11]) ).
fof(normalize_0_14,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,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_16,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_15]) ).
fof(normalize_0_17,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_16]) ).
fof(normalize_0_18,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_19,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_21,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_23,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,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_25,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_24]) ).
fof(normalize_0_26,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_25]) ).
fof(normalize_0_27,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_28,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,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_30,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_29]) ).
fof(normalize_0_31,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_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(specialize,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
midp(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_34,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_35,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_34]) ).
fof(normalize_0_36,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_35]) ).
fof(normalize_0_37,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_38,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_37]) ).
fof(normalize_0_39,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_40,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_39]) ).
fof(normalize_0_41,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_40]) ).
fof(normalize_0_42,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_41]) ).
fof(normalize_0_43,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(canonicalize,[],[ruleD4]) ).
fof(normalize_0_44,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(specialize,[],[normalize_0_43]) ).
fof(normalize_0_45,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(canonicalize,[],[ruleD5]) ).
fof(normalize_0_46,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(specialize,[],[normalize_0_45]) ).
fof(normalize_0_47,plain,
eqangle(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
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(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_55,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_54]) ).
fof(normalize_0_56,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_57,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD69]) ).
fof(normalize_0_58,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_57]) ).
fof(normalize_0_59,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_60,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_59]) ).
fof(normalize_0_61,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_62,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_61]) ).
cnf(refute_0_0,plain,
~ cong(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_H),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ cong(X_8502,X_8500,X_8501,X_8502)
| cong(X_8502,X_8500,X_8502,X_8501) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_8502)),bind(B,$fot(X_8500)),bind(C,$fot(X_8501)),bind(D,$fot(X_8502))]]) ).
cnf(refute_0_3,plain,
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ cong(X_8459,X_8460,X_8460,X_8458)
| cong(X_8460,X_8458,X_8459,X_8460) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_8459)),bind(B,$fot(X_8460)),bind(C,$fot(X_8460)),bind(D,$fot(X_8458))]]) ).
cnf(refute_0_5,plain,
( ~ cong(X_8411,X_8412,X_8410,X_8412)
| cong(X_8411,X_8412,X_8412,X_8410) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_8411)),bind(B,$fot(X_8412)),bind(C,$fot(X_8410)),bind(D,$fot(X_8412))]]) ).
cnf(refute_0_6,plain,
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
( ~ midp(X_3840,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1))
| ~ para(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),D,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),D)
| midp(X_3840,D,D) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1))),bind(B,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1))),bind(C,$fot(D)),bind(M,$fot(X_3840))]]) ).
cnf(refute_0_8,plain,
( ~ coll(A,B,C)
| ~ cong(A,B,A,C)
| midp(A,B,C) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_9,plain,
( ~ coll(X_3839,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1))
| ~ cong(X_3839,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3839,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1))
| midp(X_3839,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_3839)),bind(B,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1))),bind(C,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)))]]) ).
cnf(refute_0_10,plain,
( ~ cong(X_3837,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3837)
| cong(X_3837,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3837,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_3837)),bind(B,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1))),bind(C,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1))),bind(D,$fot(X_3837))]]) ).
cnf(refute_0_11,plain,
( ~ cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3835,X_3835,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1))
| cong(X_3835,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3835) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1))),bind(B,$fot(X_3835)),bind(C,$fot(X_3835)),bind(D,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)))]]) ).
cnf(refute_0_12,plain,
( ~ cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3833,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3833)
| cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3833,X_3833,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1))),bind(B,$fot(X_3833)),bind(C,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1))),bind(D,$fot(X_3833))]]) ).
cnf(refute_0_13,plain,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_14,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3832,X_3832)
| cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3832,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3832) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1))),bind(B,$fot(X_3832)),bind(C,$fot(X_3832))]]) ).
cnf(refute_0_15,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ para(skolemFOFtoCNF_A,D,skolemFOFtoCNF_A,D)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),D,D) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(D)),bind(M,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)))]]) ).
cnf(refute_0_16,plain,
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_17,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_3799,X_3798),X_3799,X_3798)
| midp(skolemFOFtoCNF_P_1(X_3799,X_3798),X_3798,X_3799) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_3798)),bind(B,$fot(X_3799)),bind(M,$fot(skolemFOFtoCNF_P_1(X_3799,X_3798)))]]) ).
cnf(refute_0_18,plain,
( ~ coll(C,A,B)
| ~ coll(D,A,B)
| ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_19,plain,
( ~ coll(D,D,D)
| ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).
cnf(refute_0_20,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_21,plain,
( ~ coll(X_577,X_576,X_577)
| coll(X_577,X_577,X_576) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_577)),bind(B,$fot(X_576)),bind(C,$fot(X_577))]]) ).
cnf(refute_0_22,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_23,plain,
( ~ coll(X_574,X_575,X_575)
| coll(X_575,X_574,X_575) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_574)),bind(B,$fot(X_575)),bind(C,$fot(X_575))]]) ).
cnf(refute_0_24,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_25,plain,
( ~ para(X_569,X_570,X_569,X_570)
| coll(X_569,X_570,X_570) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_569)),bind(B,$fot(X_570)),bind(C,$fot(X_570))]]) ).
cnf(refute_0_26,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_27,plain,
( ~ eqangle(X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(X_567,X_568,X_567,X_568) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_567)),bind(B,$fot(X_568)),bind(C,$fot(X_567)),bind(D,$fot(X_568)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_28,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_29,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_30,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_31,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_32,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,D)
| cyclic(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_33,plain,
( ~ cong(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_34,plain,
midp(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_35,plain,
( ~ midp(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| cong(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_36,plain,
cong(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_36,refute_0_33]) ).
cnf(refute_0_38,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_37,refute_0_31]) ).
cnf(refute_0_39,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_38,refute_0_29]) ).
cnf(refute_0_40,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_41,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_43,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_42:[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_44,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_41,refute_0_43]) ).
cnf(refute_0_45,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566),
inference(subst,[],[refute_0_44:[bind(X_153,$fot(X_565)),bind(X_154,$fot(X_566))]]) ).
cnf(refute_0_46,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_47,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566)
| eqangle(X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_46:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_565)),bind(D,$fot(X_566)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_565)),bind(V,$fot(X_566))]]) ).
cnf(refute_0_48,plain,
eqangle(X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_565,X_566) )],[refute_0_45,refute_0_47]) ).
cnf(refute_0_49,plain,
eqangle(X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_48:[bind(X_565,$fot(X_567)),bind(X_566,$fot(X_568))]]) ).
cnf(refute_0_50,plain,
para(X_567,X_568,X_567,X_568),
inference(resolve,[$cnf( eqangle(X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_567,X_568,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_49,refute_0_27]) ).
cnf(refute_0_51,plain,
para(X_569,X_570,X_569,X_570),
inference(subst,[],[refute_0_50:[bind(X_567,$fot(X_569)),bind(X_568,$fot(X_570))]]) ).
cnf(refute_0_52,plain,
coll(X_569,X_570,X_570),
inference(resolve,[$cnf( para(X_569,X_570,X_569,X_570) )],[refute_0_51,refute_0_25]) ).
cnf(refute_0_53,plain,
coll(X_574,X_575,X_575),
inference(subst,[],[refute_0_52:[bind(X_569,$fot(X_574)),bind(X_570,$fot(X_575))]]) ).
cnf(refute_0_54,plain,
coll(X_575,X_574,X_575),
inference(resolve,[$cnf( coll(X_574,X_575,X_575) )],[refute_0_53,refute_0_23]) ).
cnf(refute_0_55,plain,
coll(X_577,X_576,X_577),
inference(subst,[],[refute_0_54:[bind(X_574,$fot(X_576)),bind(X_575,$fot(X_577))]]) ).
cnf(refute_0_56,plain,
coll(X_577,X_577,X_576),
inference(resolve,[$cnf( coll(X_577,X_576,X_577) )],[refute_0_55,refute_0_21]) ).
cnf(refute_0_57,plain,
coll(D,D,D),
inference(subst,[],[refute_0_56:[bind(X_576,$fot(D)),bind(X_577,$fot(D))]]) ).
cnf(refute_0_58,plain,
( ~ midp(N,D,D)
| midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_57,refute_0_19]) ).
cnf(refute_0_59,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D),X_3797,X_3797)
| midp(skolemFOFtoCNF_P_1(X_3797,Q),X_3797,Q) ),
inference(subst,[],[refute_0_58:[bind(D,$fot(X_3797)),bind(N,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_60,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| ~ para(skolemFOFtoCNF_B_1,D,skolemFOFtoCNF_B_1,D)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D),D,D) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(D)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_61,plain,
( ~ midp(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| midp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_62,plain,
midp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_34,refute_0_61]) ).
cnf(refute_0_63,plain,
( ~ midp(M,A,B)
| ~ midp(N,C,D)
| midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_64,plain,
( ~ midp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_63:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_D)),bind(N,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_65,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_62,refute_0_64]) ).
cnf(refute_0_66,plain,
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_67,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_68,plain,
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_69,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_68:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_70,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_66:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_71,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_G)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_72,plain,
eqangle(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_73,plain,
( ~ eqangle(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_46:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_G)),bind(Q,$fot(skolemFOFtoCNF_B_1)),bind(U,$fot(skolemFOFtoCNF_B_1)),bind(V,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_74,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) )],[refute_0_74,refute_0_71]) ).
cnf(refute_0_76,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_75,refute_0_70]) ).
cnf(refute_0_77,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_76,refute_0_69]) ).
cnf(refute_0_78,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_77,refute_0_67]) ).
cnf(refute_0_79,plain,
( ~ midp(X_3785,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| midp(X_3785,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(X_3785))]]) ).
cnf(refute_0_80,plain,
( ~ midp(X_3785,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| midp(X_3785,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_80:[bind(X_3785,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_82,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_65,refute_0_81]) ).
cnf(refute_0_83,plain,
( ~ para(skolemFOFtoCNF_B_1,D,skolemFOFtoCNF_B_1,D)
| midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D),D,D) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D),skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_82,refute_0_60]) ).
cnf(refute_0_84,plain,
para(skolemFOFtoCNF_B_1,D,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_50:[bind(X_567,$fot(skolemFOFtoCNF_B_1)),bind(X_568,$fot(D))]]) ).
cnf(refute_0_85,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D),D,D),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,D,skolemFOFtoCNF_B_1,D) )],[refute_0_84,refute_0_83]) ).
cnf(refute_0_86,plain,
midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D),X_3797,X_3797),
inference(subst,[],[refute_0_85:[bind(D,$fot(X_3797))]]) ).
cnf(refute_0_87,plain,
midp(skolemFOFtoCNF_P_1(X_3797,Q),X_3797,Q),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D),X_3797,X_3797) )],[refute_0_86,refute_0_59]) ).
cnf(refute_0_88,plain,
midp(skolemFOFtoCNF_P_1(X_3799,X_3798),X_3799,X_3798),
inference(subst,[],[refute_0_87:[bind(Q,$fot(X_3798)),bind(X_3797,$fot(X_3799))]]) ).
cnf(refute_0_89,plain,
midp(skolemFOFtoCNF_P_1(X_3799,X_3798),X_3798,X_3799),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_3799,X_3798),X_3799,X_3798) )],[refute_0_88,refute_0_17]) ).
cnf(refute_0_90,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_89:[bind(X_3798,$fot(skolemFOFtoCNF_C_1)),bind(X_3799,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_91,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_C_1)),bind(Q,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_92,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(E,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_93,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_94,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_93:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_95,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_96,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_97,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_98,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_97:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_99,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_37,refute_0_98]) ).
cnf(refute_0_100,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_99,refute_0_96]) ).
cnf(refute_0_101,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_100,refute_0_94]) ).
cnf(refute_0_102,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_101,refute_0_92]) ).
cnf(refute_0_103,plain,
eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_102,refute_0_91]) ).
cnf(refute_0_104,plain,
( ~ eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_C_1)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_105,plain,
para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
( ~ midp(X_3785,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| ~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| midp(X_3785,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(M,$fot(X_3785))]]) ).
cnf(refute_0_107,plain,
( ~ midp(X_3785,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(X_3785,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
( ~ midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_107:[bind(X_3785,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)))]]) ).
cnf(refute_0_109,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_90,refute_0_108]) ).
cnf(refute_0_110,plain,
( ~ para(skolemFOFtoCNF_A,D,skolemFOFtoCNF_A,D)
| midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),D,D) ),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_109,refute_0_15]) ).
cnf(refute_0_111,plain,
para(skolemFOFtoCNF_A,D,skolemFOFtoCNF_A,D),
inference(subst,[],[refute_0_50:[bind(X_567,$fot(skolemFOFtoCNF_A)),bind(X_568,$fot(D))]]) ).
cnf(refute_0_112,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),D,D),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,D,skolemFOFtoCNF_A,D) )],[refute_0_111,refute_0_110]) ).
cnf(refute_0_113,plain,
midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3832,X_3832),
inference(subst,[],[refute_0_112:[bind(D,$fot(X_3832))]]) ).
cnf(refute_0_114,plain,
cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3832,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3832),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3832,X_3832) )],[refute_0_113,refute_0_14]) ).
cnf(refute_0_115,plain,
cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3833,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3833),
inference(subst,[],[refute_0_114:[bind(X_3832,$fot(X_3833))]]) ).
cnf(refute_0_116,plain,
cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3833,X_3833,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3833,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3833) )],[refute_0_115,refute_0_12]) ).
cnf(refute_0_117,plain,
cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3835,X_3835,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)),
inference(subst,[],[refute_0_116:[bind(X_3833,$fot(X_3835))]]) ).
cnf(refute_0_118,plain,
cong(X_3835,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3835),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3835,X_3835,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)) )],[refute_0_117,refute_0_11]) ).
cnf(refute_0_119,plain,
cong(X_3837,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3837),
inference(subst,[],[refute_0_118:[bind(X_3835,$fot(X_3837))]]) ).
cnf(refute_0_120,plain,
cong(X_3837,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3837,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)),
inference(resolve,[$cnf( cong(X_3837,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3837) )],[refute_0_119,refute_0_10]) ).
cnf(refute_0_121,plain,
cong(X_3839,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3839,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)),
inference(subst,[],[refute_0_120:[bind(X_3837,$fot(X_3839))]]) ).
cnf(refute_0_122,plain,
( ~ coll(X_3839,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1))
| midp(X_3839,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)) ),
inference(resolve,[$cnf( cong(X_3839,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),X_3839,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)) )],[refute_0_121,refute_0_9]) ).
cnf(refute_0_123,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_124,plain,
( ~ coll(X_3762,skolemFOFtoCNF_G,C)
| ~ coll(X_3762,skolemFOFtoCNF_G,X_3763)
| coll(C,X_3763,X_3762) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(X_3762)),bind(B,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_3763))]]) ).
cnf(refute_0_125,plain,
( ~ coll(X_3688,skolemFOFtoCNF_D,C)
| ~ coll(X_3688,skolemFOFtoCNF_D,skolemFOFtoCNF_G)
| coll(C,skolemFOFtoCNF_G,X_3688) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(X_3688)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_126,plain,
( ~ coll(skolemFOFtoCNF_G,X_3671,C)
| ~ coll(skolemFOFtoCNF_G,X_3671,skolemFOFtoCNF_D)
| coll(C,skolemFOFtoCNF_D,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(X_3671)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_127,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_G) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_128,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_129,plain,
( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_130,plain,
coll(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_D) )],[refute_0_130,refute_0_127]) ).
cnf(refute_0_132,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3654)
| ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_G)
| coll(skolemFOFtoCNF_G,X_3654,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(X_3654))]]) ).
cnf(refute_0_133,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3654)
| coll(skolemFOFtoCNF_G,X_3654,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_G) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3654),
inference(subst,[],[refute_0_56:[bind(X_576,$fot(X_3654)),bind(X_577,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_135,plain,
coll(skolemFOFtoCNF_G,X_3654,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_3654) )],[refute_0_134,refute_0_133]) ).
cnf(refute_0_136,plain,
coll(skolemFOFtoCNF_G,X_3671,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_135:[bind(X_3654,$fot(X_3671))]]) ).
cnf(refute_0_137,plain,
( ~ coll(skolemFOFtoCNF_G,X_3671,C)
| coll(C,skolemFOFtoCNF_D,skolemFOFtoCNF_G) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,X_3671,skolemFOFtoCNF_D) )],[refute_0_136,refute_0_126]) ).
cnf(refute_0_138,plain,
( ~ coll(X_574,X_575,X_575)
| coll(X_575,X_575,X_574) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(X_574)),bind(B,$fot(X_575)),bind(C,$fot(X_575)),bind(D,$fot(X_575))]]) ).
cnf(refute_0_139,plain,
coll(X_575,X_575,X_574),
inference(resolve,[$cnf( coll(X_574,X_575,X_575) )],[refute_0_53,refute_0_138]) ).
cnf(refute_0_140,plain,
coll(X_3652,X_3652,X_3653),
inference(subst,[],[refute_0_139:[bind(X_574,$fot(X_3653)),bind(X_575,$fot(X_3652))]]) ).
cnf(refute_0_141,plain,
( ~ coll(X_3652,X_3652,X_3653)
| ~ coll(X_3652,X_3652,X_3654)
| coll(X_3653,X_3654,X_3652) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(X_3652)),bind(B,$fot(X_3652)),bind(C,$fot(X_3653)),bind(D,$fot(X_3654))]]) ).
cnf(refute_0_142,plain,
( ~ coll(X_3652,X_3652,X_3654)
| coll(X_3653,X_3654,X_3652) ),
inference(resolve,[$cnf( coll(X_3652,X_3652,X_3653) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
coll(X_3652,X_3652,X_3654),
inference(subst,[],[refute_0_56:[bind(X_576,$fot(X_3654)),bind(X_577,$fot(X_3652))]]) ).
cnf(refute_0_144,plain,
coll(X_3653,X_3654,X_3652),
inference(resolve,[$cnf( coll(X_3652,X_3652,X_3654) )],[refute_0_143,refute_0_142]) ).
cnf(refute_0_145,plain,
coll(skolemFOFtoCNF_G,X_3671,C),
inference(subst,[],[refute_0_144:[bind(X_3652,$fot(C)),bind(X_3653,$fot(skolemFOFtoCNF_G)),bind(X_3654,$fot(X_3671))]]) ).
cnf(refute_0_146,plain,
coll(C,skolemFOFtoCNF_D,skolemFOFtoCNF_G),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,X_3671,C) )],[refute_0_145,refute_0_137]) ).
cnf(refute_0_147,plain,
coll(X_3688,skolemFOFtoCNF_D,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_146:[bind(C,$fot(X_3688))]]) ).
cnf(refute_0_148,plain,
( ~ coll(X_3688,skolemFOFtoCNF_D,C)
| coll(C,skolemFOFtoCNF_G,X_3688) ),
inference(resolve,[$cnf( coll(X_3688,skolemFOFtoCNF_D,skolemFOFtoCNF_G) )],[refute_0_147,refute_0_125]) ).
cnf(refute_0_149,plain,
coll(X_3688,skolemFOFtoCNF_D,C),
inference(subst,[],[refute_0_144:[bind(X_3652,$fot(C)),bind(X_3653,$fot(X_3688)),bind(X_3654,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_150,plain,
coll(C,skolemFOFtoCNF_G,X_3688),
inference(resolve,[$cnf( coll(X_3688,skolemFOFtoCNF_D,C) )],[refute_0_149,refute_0_148]) ).
cnf(refute_0_151,plain,
coll(X_3762,skolemFOFtoCNF_G,X_3763),
inference(subst,[],[refute_0_150:[bind(C,$fot(X_3762)),bind(X_3688,$fot(X_3763))]]) ).
cnf(refute_0_152,plain,
( ~ coll(X_3762,skolemFOFtoCNF_G,C)
| coll(C,X_3763,X_3762) ),
inference(resolve,[$cnf( coll(X_3762,skolemFOFtoCNF_G,X_3763) )],[refute_0_151,refute_0_124]) ).
cnf(refute_0_153,plain,
( ~ coll(X_3751,skolemFOFtoCNF_A,C)
| ~ coll(X_3751,skolemFOFtoCNF_A,X_3752)
| coll(C,X_3752,X_3751) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(X_3751)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_3752))]]) ).
cnf(refute_0_154,plain,
( ~ coll(skolemFOFtoCNF_A,X_3736,X_3737)
| coll(X_3736,skolemFOFtoCNF_A,X_3737) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_3736)),bind(C,$fot(X_3737))]]) ).
cnf(refute_0_155,plain,
( ~ coll(X_3715,skolemFOFtoCNF_C_1,D)
| ~ coll(X_3715,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,D,X_3715) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(X_3715)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_156,plain,
( ~ coll(skolemFOFtoCNF_C_1,X_3695,skolemFOFtoCNF_A)
| coll(X_3695,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_3695)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_157,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_158,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_159,plain,
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_160,plain,
( ~ midp(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_159:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_161,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_34,refute_0_160]) ).
cnf(refute_0_162,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_161,refute_0_158]) ).
cnf(refute_0_163,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_162,refute_0_157]) ).
cnf(refute_0_164,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3654)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,X_3654,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_123:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_3654))]]) ).
cnf(refute_0_165,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3654)
| coll(skolemFOFtoCNF_C_1,X_3654,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3654),
inference(subst,[],[refute_0_56:[bind(X_576,$fot(X_3654)),bind(X_577,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_167,plain,
coll(skolemFOFtoCNF_C_1,X_3654,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_3654) )],[refute_0_166,refute_0_165]) ).
cnf(refute_0_168,plain,
coll(skolemFOFtoCNF_C_1,X_3695,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_167:[bind(X_3654,$fot(X_3695))]]) ).
cnf(refute_0_169,plain,
coll(X_3695,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_3695,skolemFOFtoCNF_A) )],[refute_0_168,refute_0_156]) ).
cnf(refute_0_170,plain,
coll(X_3715,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_169:[bind(X_3695,$fot(X_3715))]]) ).
cnf(refute_0_171,plain,
( ~ coll(X_3715,skolemFOFtoCNF_C_1,D)
| coll(skolemFOFtoCNF_A,D,X_3715) ),
inference(resolve,[$cnf( coll(X_3715,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_170,refute_0_155]) ).
cnf(refute_0_172,plain,
coll(X_3715,skolemFOFtoCNF_C_1,D),
inference(subst,[],[refute_0_144:[bind(X_3652,$fot(D)),bind(X_3653,$fot(X_3715)),bind(X_3654,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_173,plain,
coll(skolemFOFtoCNF_A,D,X_3715),
inference(resolve,[$cnf( coll(X_3715,skolemFOFtoCNF_C_1,D) )],[refute_0_172,refute_0_171]) ).
cnf(refute_0_174,plain,
coll(skolemFOFtoCNF_A,X_3736,X_3737),
inference(subst,[],[refute_0_173:[bind(D,$fot(X_3736)),bind(X_3715,$fot(X_3737))]]) ).
cnf(refute_0_175,plain,
coll(X_3736,skolemFOFtoCNF_A,X_3737),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_3736,X_3737) )],[refute_0_174,refute_0_154]) ).
cnf(refute_0_176,plain,
coll(X_3751,skolemFOFtoCNF_A,X_3752),
inference(subst,[],[refute_0_175:[bind(X_3736,$fot(X_3751)),bind(X_3737,$fot(X_3752))]]) ).
cnf(refute_0_177,plain,
( ~ coll(X_3751,skolemFOFtoCNF_A,C)
| coll(C,X_3752,X_3751) ),
inference(resolve,[$cnf( coll(X_3751,skolemFOFtoCNF_A,X_3752) )],[refute_0_176,refute_0_153]) ).
cnf(refute_0_178,plain,
coll(X_3751,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_144:[bind(X_3652,$fot(C)),bind(X_3653,$fot(X_3751)),bind(X_3654,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_179,plain,
coll(C,X_3752,X_3751),
inference(resolve,[$cnf( coll(X_3751,skolemFOFtoCNF_A,C) )],[refute_0_178,refute_0_177]) ).
cnf(refute_0_180,plain,
coll(X_3762,skolemFOFtoCNF_G,C),
inference(subst,[],[refute_0_179:[bind(C,$fot(X_3762)),bind(X_3751,$fot(C)),bind(X_3752,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_181,plain,
coll(C,X_3763,X_3762),
inference(resolve,[$cnf( coll(X_3762,skolemFOFtoCNF_G,C) )],[refute_0_180,refute_0_152]) ).
cnf(refute_0_182,plain,
coll(X_3839,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)),
inference(subst,[],[refute_0_181:[bind(C,$fot(X_3839)),bind(X_3762,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1))),bind(X_3763,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)))]]) ).
cnf(refute_0_183,plain,
midp(X_3839,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)),
inference(resolve,[$cnf( coll(X_3839,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)) )],[refute_0_182,refute_0_122]) ).
cnf(refute_0_184,plain,
midp(X_3840,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)),
inference(subst,[],[refute_0_183:[bind(X_3839,$fot(X_3840))]]) ).
cnf(refute_0_185,plain,
( ~ para(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),D,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),D)
| midp(X_3840,D,D) ),
inference(resolve,[$cnf( midp(X_3840,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)) )],[refute_0_184,refute_0_7]) ).
cnf(refute_0_186,plain,
para(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),D,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),D),
inference(subst,[],[refute_0_50:[bind(X_567,$fot(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1))),bind(X_568,$fot(D))]]) ).
cnf(refute_0_187,plain,
midp(X_3840,D,D),
inference(resolve,[$cnf( para(skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),D,skolemFOFtoCNF_P_1(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),D) )],[refute_0_186,refute_0_185]) ).
cnf(refute_0_188,plain,
midp(X_8389,X_8388,X_8388),
inference(subst,[],[refute_0_187:[bind(D,$fot(X_8388)),bind(X_3840,$fot(X_8389))]]) ).
cnf(refute_0_189,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_190,plain,
( ~ midp(X_8389,X_8388,X_8388)
| ~ perp(X_8388,X_8387,X_8387,X_8388)
| cong(X_8388,X_8389,X_8387,X_8389) ),
inference(subst,[],[refute_0_189:[bind(A,$fot(X_8388)),bind(B,$fot(X_8387)),bind(C,$fot(X_8388)),bind(M,$fot(X_8389))]]) ).
cnf(refute_0_191,plain,
( ~ perp(X_8388,X_8387,X_8387,X_8388)
| cong(X_8388,X_8389,X_8387,X_8389) ),
inference(resolve,[$cnf( midp(X_8389,X_8388,X_8388) )],[refute_0_188,refute_0_190]) ).
cnf(refute_0_192,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_62]) ).
cnf(refute_0_193,plain,
( ~ cong(X_4145,X_4146,X_4145,X_4146)
| ~ cyclic(X_4145,X_4145,X_4146,X_4146)
| perp(X_4146,X_4145,X_4145,X_4146) ),
inference(subst,[],[refute_0_192:[bind(A,$fot(X_4145)),bind(B,$fot(X_4145)),bind(P,$fot(X_4146)),bind(Q,$fot(X_4146))]]) ).
cnf(refute_0_194,plain,
( ~ cyclic(X_4143,X_4143,X_4143,X_4144)
| cyclic(X_4143,X_4143,X_4144,X_4144) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(X_4143)),bind(B,$fot(X_4143)),bind(C,$fot(X_4143)),bind(D,$fot(X_4144)),bind(E,$fot(X_4144))]]) ).
cnf(refute_0_195,plain,
( ~ cyclic(X_4141,X_4141,X_4142,X_4141)
| cyclic(X_4141,X_4141,X_4141,X_4142) ),
inference(subst,[],[refute_0_93:[bind(A,$fot(X_4141)),bind(B,$fot(X_4141)),bind(C,$fot(X_4142)),bind(D,$fot(X_4141))]]) ).
cnf(refute_0_196,plain,
( ~ cyclic(X_4139,X_4140,X_4139,X_4139)
| cyclic(X_4139,X_4139,X_4140,X_4139) ),
inference(subst,[],[refute_0_95:[bind(A,$fot(X_4139)),bind(B,$fot(X_4140)),bind(C,$fot(X_4139)),bind(D,$fot(X_4139))]]) ).
cnf(refute_0_197,plain,
( ~ cyclic(X_4138,X_4137,X_4137,X_4137)
| cyclic(X_4137,X_4138,X_4137,X_4137) ),
inference(subst,[],[refute_0_97:[bind(A,$fot(X_4138)),bind(B,$fot(X_4137)),bind(C,$fot(X_4137)),bind(D,$fot(X_4137))]]) ).
cnf(refute_0_198,plain,
( ~ cong(skolemFOFtoCNF_P_1(X_4136,X_4135),X_4136,skolemFOFtoCNF_P_1(X_4136,X_4135),X_4135)
| cyclic(X_4136,X_4135,X_4135,X_4135) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(X_4136)),bind(B,$fot(X_4135)),bind(C,$fot(X_4135)),bind(D,$fot(X_4135)),bind(O,$fot(skolemFOFtoCNF_P_1(X_4136,X_4135)))]]) ).
cnf(refute_0_199,plain,
( ~ midp(skolemFOFtoCNF_P_1(X_3799,X_3798),X_3799,X_3798)
| cong(skolemFOFtoCNF_P_1(X_3799,X_3798),X_3799,skolemFOFtoCNF_P_1(X_3799,X_3798),X_3798) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_P_1(X_3799,X_3798))),bind(B,$fot(X_3799)),bind(C,$fot(X_3798))]]) ).
cnf(refute_0_200,plain,
cong(skolemFOFtoCNF_P_1(X_3799,X_3798),X_3799,skolemFOFtoCNF_P_1(X_3799,X_3798),X_3798),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_3799,X_3798),X_3799,X_3798) )],[refute_0_88,refute_0_199]) ).
cnf(refute_0_201,plain,
cong(skolemFOFtoCNF_P_1(X_4136,X_4135),X_4136,skolemFOFtoCNF_P_1(X_4136,X_4135),X_4135),
inference(subst,[],[refute_0_200:[bind(X_3798,$fot(X_4135)),bind(X_3799,$fot(X_4136))]]) ).
cnf(refute_0_202,plain,
cyclic(X_4136,X_4135,X_4135,X_4135),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_4136,X_4135),X_4136,skolemFOFtoCNF_P_1(X_4136,X_4135),X_4135) )],[refute_0_201,refute_0_198]) ).
cnf(refute_0_203,plain,
cyclic(X_4138,X_4137,X_4137,X_4137),
inference(subst,[],[refute_0_202:[bind(X_4135,$fot(X_4137)),bind(X_4136,$fot(X_4138))]]) ).
cnf(refute_0_204,plain,
cyclic(X_4137,X_4138,X_4137,X_4137),
inference(resolve,[$cnf( cyclic(X_4138,X_4137,X_4137,X_4137) )],[refute_0_203,refute_0_197]) ).
cnf(refute_0_205,plain,
cyclic(X_4139,X_4140,X_4139,X_4139),
inference(subst,[],[refute_0_204:[bind(X_4137,$fot(X_4139)),bind(X_4138,$fot(X_4140))]]) ).
cnf(refute_0_206,plain,
cyclic(X_4139,X_4139,X_4140,X_4139),
inference(resolve,[$cnf( cyclic(X_4139,X_4140,X_4139,X_4139) )],[refute_0_205,refute_0_196]) ).
cnf(refute_0_207,plain,
cyclic(X_4141,X_4141,X_4142,X_4141),
inference(subst,[],[refute_0_206:[bind(X_4139,$fot(X_4141)),bind(X_4140,$fot(X_4142))]]) ).
cnf(refute_0_208,plain,
cyclic(X_4141,X_4141,X_4141,X_4142),
inference(resolve,[$cnf( cyclic(X_4141,X_4141,X_4142,X_4141) )],[refute_0_207,refute_0_195]) ).
cnf(refute_0_209,plain,
cyclic(X_4143,X_4143,X_4143,X_4144),
inference(subst,[],[refute_0_208:[bind(X_4141,$fot(X_4143)),bind(X_4142,$fot(X_4144))]]) ).
cnf(refute_0_210,plain,
cyclic(X_4143,X_4143,X_4144,X_4144),
inference(resolve,[$cnf( cyclic(X_4143,X_4143,X_4143,X_4144) )],[refute_0_209,refute_0_194]) ).
cnf(refute_0_211,plain,
cyclic(X_4145,X_4145,X_4146,X_4146),
inference(subst,[],[refute_0_210:[bind(X_4143,$fot(X_4145)),bind(X_4144,$fot(X_4146))]]) ).
cnf(refute_0_212,plain,
( ~ cong(X_4145,X_4146,X_4145,X_4146)
| perp(X_4146,X_4145,X_4145,X_4146) ),
inference(resolve,[$cnf( cyclic(X_4145,X_4145,X_4146,X_4146) )],[refute_0_211,refute_0_193]) ).
cnf(refute_0_213,plain,
( ~ midp(X_3842,X_3841,X_3841)
| cong(X_3842,X_3841,X_3842,X_3841) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_3842)),bind(B,$fot(X_3841)),bind(C,$fot(X_3841))]]) ).
cnf(refute_0_214,plain,
midp(X_3842,X_3841,X_3841),
inference(subst,[],[refute_0_187:[bind(D,$fot(X_3841)),bind(X_3840,$fot(X_3842))]]) ).
cnf(refute_0_215,plain,
cong(X_3842,X_3841,X_3842,X_3841),
inference(resolve,[$cnf( midp(X_3842,X_3841,X_3841) )],[refute_0_214,refute_0_213]) ).
cnf(refute_0_216,plain,
cong(X_4145,X_4146,X_4145,X_4146),
inference(subst,[],[refute_0_215:[bind(X_3841,$fot(X_4146)),bind(X_3842,$fot(X_4145))]]) ).
cnf(refute_0_217,plain,
perp(X_4146,X_4145,X_4145,X_4146),
inference(resolve,[$cnf( cong(X_4145,X_4146,X_4145,X_4146) )],[refute_0_216,refute_0_212]) ).
cnf(refute_0_218,plain,
perp(X_8388,X_8387,X_8387,X_8388),
inference(subst,[],[refute_0_217:[bind(X_4145,$fot(X_8387)),bind(X_4146,$fot(X_8388))]]) ).
cnf(refute_0_219,plain,
cong(X_8388,X_8389,X_8387,X_8389),
inference(resolve,[$cnf( perp(X_8388,X_8387,X_8387,X_8388) )],[refute_0_218,refute_0_191]) ).
cnf(refute_0_220,plain,
cong(X_8411,X_8412,X_8410,X_8412),
inference(subst,[],[refute_0_219:[bind(X_8387,$fot(X_8410)),bind(X_8388,$fot(X_8411)),bind(X_8389,$fot(X_8412))]]) ).
cnf(refute_0_221,plain,
cong(X_8411,X_8412,X_8412,X_8410),
inference(resolve,[$cnf( cong(X_8411,X_8412,X_8410,X_8412) )],[refute_0_220,refute_0_5]) ).
cnf(refute_0_222,plain,
cong(X_8459,X_8460,X_8460,X_8458),
inference(subst,[],[refute_0_221:[bind(X_8410,$fot(X_8458)),bind(X_8411,$fot(X_8459)),bind(X_8412,$fot(X_8460))]]) ).
cnf(refute_0_223,plain,
cong(X_8460,X_8458,X_8459,X_8460),
inference(resolve,[$cnf( cong(X_8459,X_8460,X_8460,X_8458) )],[refute_0_222,refute_0_4]) ).
cnf(refute_0_224,plain,
cong(X_8502,X_8500,X_8501,X_8502),
inference(subst,[],[refute_0_223:[bind(X_8458,$fot(X_8500)),bind(X_8459,$fot(X_8501)),bind(X_8460,$fot(X_8502))]]) ).
cnf(refute_0_225,plain,
cong(X_8502,X_8500,X_8502,X_8501),
inference(resolve,[$cnf( cong(X_8502,X_8500,X_8501,X_8502) )],[refute_0_224,refute_0_2]) ).
cnf(refute_0_226,plain,
cong(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_225:[bind(X_8500,$fot(skolemFOFtoCNF_G)),bind(X_8501,$fot(skolemFOFtoCNF_H)),bind(X_8502,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_227,plain,
$false,
inference(resolve,[$cnf( cong(skolemFOFtoCNF_D,skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_H) )],[refute_0_226,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO623+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 01:21:49 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 42.64/42.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.64/42.83
% 42.64/42.83 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 42.64/42.85
%------------------------------------------------------------------------------