TSTP Solution File: GEO555+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO555+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 05:27:10 EDT 2022
% Result : Theorem 1.66s 1.82s
% Output : CNFRefutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 14
% Syntax : Number of formulae : 187 ( 78 unt; 0 def)
% Number of atoms : 391 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 326 ( 122 ~; 117 |; 71 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 471 ( 97 sgn 213 !; 10 ?)
% 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(ruleD9,axiom,
! [A,B,C,D,E,F] :
( ( perp(A,B,C,D)
& perp(C,D,E,F) )
=> para(A,B,E,F) ) ).
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(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ) ).
fof(ruleD42b,axiom,
! [A,B,P,Q] :
( ( eqangle(P,A,P,B,Q,A,Q,B)
& coll(P,Q,B) )
=> cyclic(A,B,P,Q) ) ).
fof(exemplo6GDDFULL012015,conjecture,
! [A,B,C,D,E,F,G,H,K,I] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& perp(E,B,A,C)
& coll(E,A,C)
& perp(F,C,A,B)
& coll(F,A,B)
& perp(G,F,B,C)
& coll(G,B,C)
& perp(H,F,A,C)
& coll(H,A,C)
& perp(K,E,A,B)
& coll(K,A,B)
& perp(I,D,A,B)
& coll(I,A,B) )
=> cyclic(H,K,I,G) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E,F,G,H,K,I] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& perp(E,B,A,C)
& coll(E,A,C)
& perp(F,C,A,B)
& coll(F,A,B)
& perp(G,F,B,C)
& coll(G,B,C)
& perp(H,F,A,C)
& coll(H,A,C)
& perp(K,E,A,B)
& coll(K,A,B)
& perp(I,D,A,B)
& coll(I,A,B) )
=> cyclic(H,K,I,G) ),
inference(strip,[],[exemplo6GDDFULL012015]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E,F,G,H,K,I] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& perp(E,B,A,C)
& coll(E,A,C)
& perp(F,C,A,B)
& coll(F,A,B)
& perp(G,F,B,C)
& coll(G,B,C)
& perp(H,F,A,C)
& coll(H,A,C)
& perp(K,E,A,B)
& coll(K,A,B)
& perp(I,D,A,B)
& coll(I,A,B) )
=> cyclic(H,K,I,G) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F,G,H,I,K] :
( ~ cyclic(H,K,I,G)
& coll(D,B,C)
& coll(E,A,C)
& coll(F,A,B)
& coll(G,B,C)
& coll(H,A,C)
& coll(I,A,B)
& coll(K,A,B)
& perp(D,A,B,C)
& perp(E,B,A,C)
& perp(F,C,A,B)
& perp(G,F,B,C)
& perp(H,F,A,C)
& perp(I,D,A,B)
& perp(K,E,A,B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ cyclic(skolemFOFtoCNF_H,skolemFOFtoCNF_K,skolemFOFtoCNF_I,skolemFOFtoCNF_G)
& coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& coll(skolemFOFtoCNF_K,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& perp(skolemFOFtoCNF_G,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& perp(skolemFOFtoCNF_I,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& perp(skolemFOFtoCNF_K,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ cyclic(skolemFOFtoCNF_H,skolemFOFtoCNF_K,skolemFOFtoCNF_I,skolemFOFtoCNF_G),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,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_4,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_3]) ).
fof(normalize_0_5,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_6,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_8,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_10,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,P,Q] :
( ~ coll(P,Q,B)
| ~ eqangle(P,A,P,B,Q,A,Q,B)
| cyclic(A,B,P,Q) ),
inference(canonicalize,[],[ruleD42b]) ).
fof(normalize_0_12,plain,
! [A,B,P,Q] :
( ~ coll(P,Q,B)
| ~ eqangle(P,A,P,B,Q,A,Q,B)
| cyclic(A,B,P,Q) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,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_14,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_13]) ).
fof(normalize_0_15,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_16,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_15]) ).
fof(normalize_0_17,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_16]) ).
fof(normalize_0_18,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_19,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_21,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_23,plain,
! [A,B,C,D,E,F] :
( ~ perp(A,B,C,D)
| ~ perp(C,D,E,F)
| para(A,B,E,F) ),
inference(canonicalize,[],[ruleD9]) ).
fof(normalize_0_24,plain,
! [A,B,C,D,E,F] :
( ~ perp(A,B,C,D)
| ~ perp(C,D,E,F)
| para(A,B,E,F) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_26,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_27,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_29,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_31,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_30]) ).
cnf(refute_0_0,plain,
~ cyclic(skolemFOFtoCNF_H,skolemFOFtoCNF_K,skolemFOFtoCNF_I,skolemFOFtoCNF_G),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_3838,X_3837,D)
| ~ cyclic(skolemFOFtoCNF_B_1,X_3838,X_3837,X_3839)
| cyclic(X_3838,X_3837,D,X_3839) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_3838)),bind(C,$fot(X_3837)),bind(E,$fot(X_3839))]]) ).
cnf(refute_0_3,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2746,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2746,X_2747)
| cyclic(skolemFOFtoCNF_B_1,X_2746,D,X_2747) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_2746)),bind(E,$fot(X_2747))]]) ).
cnf(refute_0_4,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2410)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_2410) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_2410))]]) ).
cnf(refute_0_5,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_6,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_2404,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2404) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_2404)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_7,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_8,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,X_2401,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_2401,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_2401)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_9,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_10,plain,
( ~ cyclic(X_2400,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_C_1,X_2400,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_2400)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_11,plain,
( ~ coll(P,Q,B)
| ~ eqangle(P,A,P,B,Q,A,Q,B)
| cyclic(A,B,P,Q) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_12,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| ~ eqangle(skolemFOFtoCNF_B_1,X_2399,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_2399,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cyclic(X_2399,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_2399)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_13,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_14,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_2390,X_2391,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_2390,X_2391)
| eqangle(X_2390,X_2391,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_2390,X_2391,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(X_2390)),bind(D,$fot(X_2391)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_C_1)),bind(U,$fot(X_2390)),bind(V,$fot(X_2391))]]) ).
cnf(refute_0_15,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_16,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,P,Q,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,P,Q) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_17,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_18,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_19,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_20,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_21,plain,
perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_22,plain,
( ~ perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_23,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_23,refute_0_20]) ).
cnf(refute_0_25,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_24,refute_0_18]) ).
cnf(refute_0_26,plain,
( ~ perp(A,B,C,D)
| ~ perp(C,D,E,F)
| para(A,B,E,F) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_27,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_D,X_2386,X_2387)
| ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_2386,X_2387) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_D)),bind(E,$fot(X_2386)),bind(F,$fot(X_2387))]]) ).
cnf(refute_0_28,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_D,X_2386,X_2387)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_2386,X_2387) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_28:[bind(X_2386,$fot(skolemFOFtoCNF_B_1)),bind(X_2387,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_30,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_25,refute_0_29]) ).
cnf(refute_0_31,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,P,Q,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,P,Q),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_30,refute_0_16]) ).
cnf(refute_0_32,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_2390,X_2391,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_2390,X_2391),
inference(subst,[],[refute_0_31:[bind(P,$fot(X_2390)),bind(Q,$fot(X_2391))]]) ).
cnf(refute_0_33,plain,
eqangle(X_2390,X_2391,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_2390,X_2391,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_2390,X_2391,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_2390,X_2391) )],[refute_0_32,refute_0_14]) ).
cnf(refute_0_34,plain,
eqangle(skolemFOFtoCNF_B_1,X_2399,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_2399,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_33:[bind(X_2390,$fot(skolemFOFtoCNF_B_1)),bind(X_2391,$fot(X_2399))]]) ).
cnf(refute_0_35,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cyclic(X_2399,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,X_2399,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_2399,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_34,refute_0_12]) ).
cnf(refute_0_36,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_37,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_38,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_37:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_39,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_36,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_41,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_42,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_39,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_44,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_43:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_45,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) )],[refute_0_42,refute_0_44]) ).
cnf(refute_0_46,plain,
cyclic(X_2399,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_45,refute_0_35]) ).
cnf(refute_0_47,plain,
cyclic(X_2400,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_46:[bind(X_2399,$fot(X_2400))]]) ).
cnf(refute_0_48,plain,
cyclic(skolemFOFtoCNF_C_1,X_2400,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(X_2400,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_47,refute_0_10]) ).
cnf(refute_0_49,plain,
cyclic(skolemFOFtoCNF_C_1,X_2401,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_48:[bind(X_2400,$fot(X_2401))]]) ).
cnf(refute_0_50,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_2401,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,X_2401,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_49,refute_0_8]) ).
cnf(refute_0_51,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_2404,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_50:[bind(X_2401,$fot(X_2404))]]) ).
cnf(refute_0_52,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2404),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_2404,skolemFOFtoCNF_B_1) )],[refute_0_51,refute_0_6]) ).
cnf(refute_0_53,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2410),
inference(subst,[],[refute_0_52:[bind(X_2404,$fot(X_2410))]]) ).
cnf(refute_0_54,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_2410) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2410) )],[refute_0_53,refute_0_4]) ).
cnf(refute_0_55,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_52:[bind(X_2404,$fot(D))]]) ).
cnf(refute_0_56,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_2410),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D) )],[refute_0_55,refute_0_54]) ).
cnf(refute_0_57,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2746,X_2747),
inference(subst,[],[refute_0_56:[bind(D,$fot(X_2746)),bind(X_2410,$fot(X_2747))]]) ).
cnf(refute_0_58,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2746,D)
| cyclic(skolemFOFtoCNF_B_1,X_2746,D,X_2747) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2746,X_2747) )],[refute_0_57,refute_0_3]) ).
cnf(refute_0_59,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2418)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_2418) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_2418))]]) ).
cnf(refute_0_60,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2411,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2411) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_2411)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_61,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2407,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2407,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2407)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_62,plain,
( ~ cyclic(X_2403,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,X_2403,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_2403)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_63,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,X_2401,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(X_2401,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_2401)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_64,plain,
cyclic(X_2401,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,X_2401,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_49,refute_0_63]) ).
cnf(refute_0_65,plain,
cyclic(X_2403,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_64:[bind(X_2401,$fot(X_2403))]]) ).
cnf(refute_0_66,plain,
cyclic(skolemFOFtoCNF_B_1,X_2403,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(X_2403,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_65,refute_0_62]) ).
cnf(refute_0_67,plain,
cyclic(skolemFOFtoCNF_B_1,X_2407,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_66:[bind(X_2403,$fot(X_2407))]]) ).
cnf(refute_0_68,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2407,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2407,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_67,refute_0_61]) ).
cnf(refute_0_69,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2411,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_68:[bind(X_2407,$fot(X_2411))]]) ).
cnf(refute_0_70,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2411),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2411,skolemFOFtoCNF_B_1) )],[refute_0_69,refute_0_60]) ).
cnf(refute_0_71,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2418),
inference(subst,[],[refute_0_70:[bind(X_2411,$fot(X_2418))]]) ).
cnf(refute_0_72,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_2418) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2418) )],[refute_0_71,refute_0_59]) ).
cnf(refute_0_73,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2417,E)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2417,X_2417)
| cyclic(skolemFOFtoCNF_B_1,X_2417,X_2417,E) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_2417)),bind(D,$fot(X_2417))]]) ).
cnf(refute_0_74,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2410)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2410,X_2410) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_2410)),bind(E,$fot(X_2410))]]) ).
cnf(refute_0_75,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2410,X_2410),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2410) )],[refute_0_53,refute_0_74]) ).
cnf(refute_0_76,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2417,X_2417),
inference(subst,[],[refute_0_75:[bind(X_2410,$fot(X_2417))]]) ).
cnf(refute_0_77,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2417,E)
| cyclic(skolemFOFtoCNF_B_1,X_2417,X_2417,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2417,X_2417) )],[refute_0_76,refute_0_73]) ).
cnf(refute_0_78,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2417,E),
inference(subst,[],[refute_0_56:[bind(D,$fot(X_2417)),bind(X_2410,$fot(E))]]) ).
cnf(refute_0_79,plain,
cyclic(skolemFOFtoCNF_B_1,X_2417,X_2417,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2417,E) )],[refute_0_78,refute_0_77]) ).
cnf(refute_0_80,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_79:[bind(E,$fot(D)),bind(X_2417,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_81,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_2418),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D) )],[refute_0_80,refute_0_72]) ).
cnf(refute_0_82,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2746,D),
inference(subst,[],[refute_0_81:[bind(D,$fot(X_2746)),bind(X_2418,$fot(D))]]) ).
cnf(refute_0_83,plain,
cyclic(skolemFOFtoCNF_B_1,X_2746,D,X_2747),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2746,D) )],[refute_0_82,refute_0_58]) ).
cnf(refute_0_84,plain,
cyclic(skolemFOFtoCNF_B_1,X_3838,X_3837,X_3839),
inference(subst,[],[refute_0_83:[bind(D,$fot(X_3837)),bind(X_2746,$fot(X_3838)),bind(X_2747,$fot(X_3839))]]) ).
cnf(refute_0_85,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_3838,X_3837,D)
| cyclic(X_3838,X_3837,D,X_3839) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_3838,X_3837,X_3839) )],[refute_0_84,refute_0_2]) ).
cnf(refute_0_86,plain,
( ~ cyclic(X_2858,skolemFOFtoCNF_B_1,X_2857,D)
| ~ cyclic(X_2858,skolemFOFtoCNF_B_1,X_2857,X_2858)
| cyclic(skolemFOFtoCNF_B_1,X_2857,D,X_2858) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_2858)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_2857)),bind(E,$fot(X_2858))]]) ).
cnf(refute_0_87,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2424,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_B_1,X_2424,skolemFOFtoCNF_B_1,X_2424)
| cyclic(X_2424,skolemFOFtoCNF_B_1,D,X_2424) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2424)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_2424))]]) ).
cnf(refute_0_88,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2417,X_2417)
| cyclic(skolemFOFtoCNF_B_1,X_2417,skolemFOFtoCNF_B_1,X_2417) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_2417)),bind(D,$fot(X_2417))]]) ).
cnf(refute_0_89,plain,
cyclic(skolemFOFtoCNF_B_1,X_2417,skolemFOFtoCNF_B_1,X_2417),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2417,X_2417) )],[refute_0_76,refute_0_88]) ).
cnf(refute_0_90,plain,
cyclic(skolemFOFtoCNF_B_1,X_2424,skolemFOFtoCNF_B_1,X_2424),
inference(subst,[],[refute_0_89:[bind(X_2417,$fot(X_2424))]]) ).
cnf(refute_0_91,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2424,skolemFOFtoCNF_B_1,D)
| cyclic(X_2424,skolemFOFtoCNF_B_1,D,X_2424) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2424,skolemFOFtoCNF_B_1,X_2424) )],[refute_0_90,refute_0_87]) ).
cnf(refute_0_92,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2411,E)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2411,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,X_2411,skolemFOFtoCNF_B_1,E) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_2411)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_93,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2411,E)
| cyclic(skolemFOFtoCNF_B_1,X_2411,skolemFOFtoCNF_B_1,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2411,skolemFOFtoCNF_B_1) )],[refute_0_69,refute_0_92]) ).
cnf(refute_0_94,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2411,E),
inference(subst,[],[refute_0_56:[bind(D,$fot(X_2411)),bind(X_2410,$fot(E))]]) ).
cnf(refute_0_95,plain,
cyclic(skolemFOFtoCNF_B_1,X_2411,skolemFOFtoCNF_B_1,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2411,E) )],[refute_0_94,refute_0_93]) ).
cnf(refute_0_96,plain,
cyclic(skolemFOFtoCNF_B_1,X_2424,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_95:[bind(E,$fot(D)),bind(X_2411,$fot(X_2424))]]) ).
cnf(refute_0_97,plain,
cyclic(X_2424,skolemFOFtoCNF_B_1,D,X_2424),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2424,skolemFOFtoCNF_B_1,D) )],[refute_0_96,refute_0_91]) ).
cnf(refute_0_98,plain,
cyclic(X_2858,skolemFOFtoCNF_B_1,X_2857,X_2858),
inference(subst,[],[refute_0_97:[bind(D,$fot(X_2857)),bind(X_2424,$fot(X_2858))]]) ).
cnf(refute_0_99,plain,
( ~ cyclic(X_2858,skolemFOFtoCNF_B_1,X_2857,D)
| cyclic(skolemFOFtoCNF_B_1,X_2857,D,X_2858) ),
inference(resolve,[$cnf( cyclic(X_2858,skolemFOFtoCNF_B_1,X_2857,X_2858) )],[refute_0_98,refute_0_86]) ).
cnf(refute_0_100,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,X_2824,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_C_1,X_2824,skolemFOFtoCNF_B_1,X_2825)
| cyclic(X_2824,skolemFOFtoCNF_B_1,D,X_2825) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_2824)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_2825))]]) ).
cnf(refute_0_101,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_2756,X_2757)
| cyclic(skolemFOFtoCNF_C_1,X_2756,skolemFOFtoCNF_B_1,X_2757) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_2756)),bind(D,$fot(X_2757))]]) ).
cnf(refute_0_102,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_2412)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D,X_2412) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_2412))]]) ).
cnf(refute_0_103,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_2408,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_2408) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(X_2408)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_104,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2405,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_2405,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2405)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_105,plain,
( ~ cyclic(X_2402,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,X_2402,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_2402)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_106,plain,
( ~ cyclic(X_2400,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(X_2400,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_2400)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_107,plain,
cyclic(X_2400,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(X_2400,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_47,refute_0_106]) ).
cnf(refute_0_108,plain,
cyclic(X_2402,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_107:[bind(X_2400,$fot(X_2402))]]) ).
cnf(refute_0_109,plain,
cyclic(skolemFOFtoCNF_B_1,X_2402,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(X_2402,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_108,refute_0_105]) ).
cnf(refute_0_110,plain,
cyclic(skolemFOFtoCNF_B_1,X_2405,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_109:[bind(X_2402,$fot(X_2405))]]) ).
cnf(refute_0_111,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_2405,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2405,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_110,refute_0_104]) ).
cnf(refute_0_112,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_2408,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_111:[bind(X_2405,$fot(X_2408))]]) ).
cnf(refute_0_113,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_2408),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_2408,skolemFOFtoCNF_B_1) )],[refute_0_112,refute_0_103]) ).
cnf(refute_0_114,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_2412),
inference(subst,[],[refute_0_113:[bind(X_2408,$fot(X_2412))]]) ).
cnf(refute_0_115,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D,X_2412) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_2412) )],[refute_0_114,refute_0_102]) ).
cnf(refute_0_116,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_95:[bind(E,$fot(D)),bind(X_2411,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_117,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D,X_2412),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D) )],[refute_0_116,refute_0_115]) ).
cnf(refute_0_118,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_2756,X_2757),
inference(subst,[],[refute_0_117:[bind(D,$fot(X_2756)),bind(X_2412,$fot(X_2757))]]) ).
cnf(refute_0_119,plain,
cyclic(skolemFOFtoCNF_C_1,X_2756,skolemFOFtoCNF_B_1,X_2757),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_2756,X_2757) )],[refute_0_118,refute_0_101]) ).
cnf(refute_0_120,plain,
cyclic(skolemFOFtoCNF_C_1,X_2824,skolemFOFtoCNF_B_1,X_2825),
inference(subst,[],[refute_0_119:[bind(X_2756,$fot(X_2824)),bind(X_2757,$fot(X_2825))]]) ).
cnf(refute_0_121,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,X_2824,skolemFOFtoCNF_B_1,D)
| cyclic(X_2824,skolemFOFtoCNF_B_1,D,X_2825) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,X_2824,skolemFOFtoCNF_B_1,X_2825) )],[refute_0_120,refute_0_100]) ).
cnf(refute_0_122,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2751,X_2750,E)
| ~ cyclic(skolemFOFtoCNF_B_1,X_2751,X_2750,skolemFOFtoCNF_B_1)
| cyclic(X_2751,X_2750,skolemFOFtoCNF_B_1,E) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2751)),bind(C,$fot(X_2750)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_123,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2411,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2411,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,X_2411,D,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_2411)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_124,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2411,D)
| cyclic(skolemFOFtoCNF_B_1,X_2411,D,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2411,skolemFOFtoCNF_B_1) )],[refute_0_69,refute_0_123]) ).
cnf(refute_0_125,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2411,D),
inference(subst,[],[refute_0_56:[bind(D,$fot(X_2411)),bind(X_2410,$fot(D))]]) ).
cnf(refute_0_126,plain,
cyclic(skolemFOFtoCNF_B_1,X_2411,D,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2411,D) )],[refute_0_125,refute_0_124]) ).
cnf(refute_0_127,plain,
cyclic(skolemFOFtoCNF_B_1,X_2751,X_2750,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_126:[bind(D,$fot(X_2750)),bind(X_2411,$fot(X_2751))]]) ).
cnf(refute_0_128,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2751,X_2750,E)
| cyclic(X_2751,X_2750,skolemFOFtoCNF_B_1,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2751,X_2750,skolemFOFtoCNF_B_1) )],[refute_0_127,refute_0_122]) ).
cnf(refute_0_129,plain,
cyclic(skolemFOFtoCNF_B_1,X_2751,X_2750,E),
inference(subst,[],[refute_0_83:[bind(D,$fot(X_2750)),bind(X_2746,$fot(X_2751)),bind(X_2747,$fot(E))]]) ).
cnf(refute_0_130,plain,
cyclic(X_2751,X_2750,skolemFOFtoCNF_B_1,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2751,X_2750,E) )],[refute_0_129,refute_0_128]) ).
cnf(refute_0_131,plain,
cyclic(skolemFOFtoCNF_C_1,X_2824,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_130:[bind(E,$fot(D)),bind(X_2750,$fot(X_2824)),bind(X_2751,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_132,plain,
cyclic(X_2824,skolemFOFtoCNF_B_1,D,X_2825),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,X_2824,skolemFOFtoCNF_B_1,D) )],[refute_0_131,refute_0_121]) ).
cnf(refute_0_133,plain,
cyclic(X_2858,skolemFOFtoCNF_B_1,X_2857,D),
inference(subst,[],[refute_0_132:[bind(D,$fot(X_2857)),bind(X_2824,$fot(X_2858)),bind(X_2825,$fot(D))]]) ).
cnf(refute_0_134,plain,
cyclic(skolemFOFtoCNF_B_1,X_2857,D,X_2858),
inference(resolve,[$cnf( cyclic(X_2858,skolemFOFtoCNF_B_1,X_2857,D) )],[refute_0_133,refute_0_99]) ).
cnf(refute_0_135,plain,
cyclic(skolemFOFtoCNF_B_1,X_3838,X_3837,D),
inference(subst,[],[refute_0_134:[bind(D,$fot(X_3837)),bind(X_2857,$fot(X_3838)),bind(X_2858,$fot(D))]]) ).
cnf(refute_0_136,plain,
cyclic(X_3838,X_3837,D,X_3839),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_3838,X_3837,D) )],[refute_0_135,refute_0_85]) ).
cnf(refute_0_137,plain,
cyclic(skolemFOFtoCNF_H,skolemFOFtoCNF_K,skolemFOFtoCNF_I,skolemFOFtoCNF_G),
inference(subst,[],[refute_0_136:[bind(D,$fot(skolemFOFtoCNF_I)),bind(X_3837,$fot(skolemFOFtoCNF_K)),bind(X_3838,$fot(skolemFOFtoCNF_H)),bind(X_3839,$fot(skolemFOFtoCNF_G))]]) ).
cnf(refute_0_138,plain,
$false,
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_H,skolemFOFtoCNF_K,skolemFOFtoCNF_I,skolemFOFtoCNF_G) )],[refute_0_137,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO555+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 15:41:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.66/1.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.66/1.82
% 1.66/1.82 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.66/1.83
%------------------------------------------------------------------------------