TSTP Solution File: LCL927-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL927-1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:57:02 EDT 2022
% Result : Unsatisfiable 64.98s 65.14s
% Output : CNFRefutation 64.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 7
% Syntax : Number of clauses : 199 ( 111 unt; 0 nHn; 66 RR)
% Number of literals : 308 ( 0 equ; 112 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 552 ( 39 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(modus_ponens,axiom,
( ~ p(i(A,B))
| ~ p(A)
| p(B) ) ).
cnf(resid1,axiom,
( ~ p(i(f(A,B),C))
| p(i(A,i(B,C))) ) ).
cnf(resid2,axiom,
( p(i(f(A,B),C))
| ~ p(i(A,i(B,C))) ) ).
cnf(axBp,axiom,
p(i(i(A,B),i(i(B,C),i(A,C)))) ).
cnf(axL,axiom,
p(i(i(i(X,Y),Y),i(i(Y,X),X))) ).
cnf(axTO,axiom,
p(i(i(i(X,Y),i(Y,X)),i(Y,X))) ).
cnf(axK_axC,negated_conjecture,
( ~ p(i(c1,i(c2,c1)))
| ~ p(i(i(A,i(B,C)),i(B,i(A,C)))) ) ).
cnf(refute_0_0,plain,
( ~ p(i(c1,i(c2,c1)))
| ~ p(i(i(i(i(X_66,X_66),X_66),i(i(i(X_66,X_66),X_66),C)),i(i(i(X_66,X_66),X_66),i(i(i(X_66,X_66),X_66),C)))) ),
inference(subst,[],[axK_axC:[bind(A,$fot(i(i(X_66,X_66),X_66))),bind(B,$fot(i(i(X_66,X_66),X_66)))]]) ).
cnf(refute_0_1,plain,
( ~ p(i(A,B))
| ~ p(i(i(A,B),i(i(B,C),i(A,C))))
| p(i(i(B,C),i(A,C))) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(A,B))),bind(B,$fot(i(i(B,C),i(A,C))))]]) ).
cnf(refute_0_2,plain,
( ~ p(i(A,B))
| p(i(i(B,C),i(A,C))) ),
inference(resolve,[$cnf( p(i(i(A,B),i(i(B,C),i(A,C)))) )],[axBp,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ p(i(i(i(X,Y),Y),i(i(Y,X),X)))
| p(i(i(i(i(Y,X),X),X_51),i(i(i(X,Y),Y),X_51))) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(i(i(X,Y),Y))),bind(B,$fot(i(i(Y,X),X))),bind(C,$fot(X_51))]]) ).
cnf(refute_0_4,plain,
p(i(i(i(i(Y,X),X),X_51),i(i(i(X,Y),Y),X_51))),
inference(resolve,[$cnf( p(i(i(i(X,Y),Y),i(i(Y,X),X))) )],[axL,refute_0_3]) ).
cnf(refute_0_5,plain,
p(i(i(i(i(X_66,X_66),X_66),i(i(i(X_66,X_66),X_66),C)),i(i(i(X_66,X_66),X_66),i(i(i(X_66,X_66),X_66),C)))),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_66)),bind(Y,$fot(X_66)),bind(X_51,$fot(i(i(i(X_66,X_66),X_66),C)))]]) ).
cnf(refute_0_6,plain,
~ p(i(c1,i(c2,c1))),
inference(resolve,[$cnf( p(i(i(i(i(X_66,X_66),X_66),i(i(i(X_66,X_66),X_66),C)),i(i(i(X_66,X_66),X_66),i(i(i(X_66,X_66),X_66),C)))) )],[refute_0_5,refute_0_0]) ).
cnf(refute_0_7,plain,
( ~ p(i(i(i(X_36769,X_36769),X_36769),i(X_36769,i(i(X_36769,X_36769),X_36769))))
| ~ p(i(i(i(i(X_36769,X_36769),X_36769),i(X_36769,i(i(X_36769,X_36769),X_36769))),i(X_36769,i(i(X_36769,X_36769),X_36769))))
| p(i(X_36769,i(i(X_36769,X_36769),X_36769))) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(i(i(X_36769,X_36769),X_36769),i(X_36769,i(i(X_36769,X_36769),X_36769))))),bind(B,$fot(i(X_36769,i(i(X_36769,X_36769),X_36769))))]]) ).
cnf(refute_0_8,plain,
( ~ p(i(i(i(X_26170,X_26169),X_26169),X_26170))
| ~ p(i(i(i(i(X_26170,X_26169),X_26169),X_26170),i(i(X_26170,i(X_26169,X_26170)),i(X_26169,X_26170))))
| p(i(i(X_26170,i(X_26169,X_26170)),i(X_26169,X_26170))) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(i(i(X_26170,X_26169),X_26169),X_26170))),bind(B,$fot(i(i(X_26170,i(X_26169,X_26170)),i(X_26169,X_26170))))]]) ).
cnf(refute_0_9,plain,
p(i(i(i(i(X_26127,X_26129),X_26129),X_26129),i(i(X_26129,i(X_26127,X_26129)),i(X_26127,X_26129)))),
inference(subst,[],[axL:[bind(X,$fot(i(X_26127,X_26129))),bind(Y,$fot(X_26129))]]) ).
cnf(refute_0_10,plain,
( ~ p(i(i(i(i(X_76,X_77),X_77),X_78),X_75))
| ~ p(i(i(i(i(i(X_76,X_77),X_77),X_78),X_75),i(i(i(i(X_77,X_76),X_76),X_78),X_75)))
| p(i(i(i(i(X_77,X_76),X_76),X_78),X_75)) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(i(i(i(X_76,X_77),X_77),X_78),X_75))),bind(B,$fot(i(i(i(i(X_77,X_76),X_76),X_78),X_75)))]]) ).
cnf(refute_0_11,plain,
( ~ p(i(i(i(i(X_67,X_66),X_66),X_68),i(i(i(X_66,X_67),X_67),X_68)))
| p(i(i(i(i(i(X_66,X_67),X_67),X_68),C),i(i(i(i(X_67,X_66),X_66),X_68),C))) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(i(i(i(X_67,X_66),X_66),X_68))),bind(B,$fot(i(i(i(X_66,X_67),X_67),X_68)))]]) ).
cnf(refute_0_12,plain,
p(i(i(i(i(X_67,X_66),X_66),X_68),i(i(i(X_66,X_67),X_67),X_68))),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_66)),bind(Y,$fot(X_67)),bind(X_51,$fot(X_68))]]) ).
cnf(refute_0_13,plain,
p(i(i(i(i(i(X_66,X_67),X_67),X_68),C),i(i(i(i(X_67,X_66),X_66),X_68),C))),
inference(resolve,[$cnf( p(i(i(i(i(X_67,X_66),X_66),X_68),i(i(i(X_66,X_67),X_67),X_68))) )],[refute_0_12,refute_0_11]) ).
cnf(refute_0_14,plain,
p(i(i(i(i(i(X_76,X_77),X_77),X_78),X_75),i(i(i(i(X_77,X_76),X_76),X_78),X_75))),
inference(subst,[],[refute_0_13:[bind(C,$fot(X_75)),bind(X_66,$fot(X_76)),bind(X_67,$fot(X_77)),bind(X_68,$fot(X_78))]]) ).
cnf(refute_0_15,plain,
( ~ p(i(i(i(i(X_76,X_77),X_77),X_78),X_75))
| p(i(i(i(i(X_77,X_76),X_76),X_78),X_75)) ),
inference(resolve,[$cnf( p(i(i(i(i(i(X_76,X_77),X_77),X_78),X_75),i(i(i(i(X_77,X_76),X_76),X_78),X_75))) )],[refute_0_14,refute_0_10]) ).
cnf(refute_0_16,plain,
( ~ p(i(i(i(i(X_26127,X_26129),X_26129),X_26129),i(i(X_26129,i(X_26127,X_26129)),i(X_26127,X_26129))))
| p(i(i(i(i(X_26129,X_26127),X_26127),X_26129),i(i(X_26129,i(X_26127,X_26129)),i(X_26127,X_26129)))) ),
inference(subst,[],[refute_0_15:[bind(X_75,$fot(i(i(X_26129,i(X_26127,X_26129)),i(X_26127,X_26129)))),bind(X_76,$fot(X_26127)),bind(X_77,$fot(X_26129)),bind(X_78,$fot(X_26129))]]) ).
cnf(refute_0_17,plain,
p(i(i(i(i(X_26129,X_26127),X_26127),X_26129),i(i(X_26129,i(X_26127,X_26129)),i(X_26127,X_26129)))),
inference(resolve,[$cnf( p(i(i(i(i(X_26127,X_26129),X_26129),X_26129),i(i(X_26129,i(X_26127,X_26129)),i(X_26127,X_26129)))) )],[refute_0_9,refute_0_16]) ).
cnf(refute_0_18,plain,
p(i(i(i(i(X_26170,X_26169),X_26169),X_26170),i(i(X_26170,i(X_26169,X_26170)),i(X_26169,X_26170)))),
inference(subst,[],[refute_0_17:[bind(X_26127,$fot(X_26169)),bind(X_26129,$fot(X_26170))]]) ).
cnf(refute_0_19,plain,
( ~ p(i(i(i(X_26170,X_26169),X_26169),X_26170))
| p(i(i(X_26170,i(X_26169,X_26170)),i(X_26169,X_26170))) ),
inference(resolve,[$cnf( p(i(i(i(i(X_26170,X_26169),X_26169),X_26170),i(i(X_26170,i(X_26169,X_26170)),i(X_26169,X_26170)))) )],[refute_0_18,refute_0_8]) ).
cnf(refute_0_20,plain,
( ~ p(i(i(i(i(i(X_36734,X_36734),X_36734),X_36734),X_36734),i(i(X_36734,X_36734),X_36734)))
| p(i(i(i(i(X_36734,X_36734),X_36734),i(X_36734,i(i(X_36734,X_36734),X_36734))),i(X_36734,i(i(X_36734,X_36734),X_36734)))) ),
inference(subst,[],[refute_0_19:[bind(X_26169,$fot(X_36734)),bind(X_26170,$fot(i(i(X_36734,X_36734),X_36734)))]]) ).
cnf(refute_0_21,plain,
( ~ p(i(i(i(i(X_36732,i(X_36732,X_36732)),i(X_36732,X_36732)),X_36731),i(i(X_36732,X_36732),X_36731)))
| p(i(i(i(i(i(X_36732,X_36732),X_36732),X_36732),X_36731),i(i(X_36732,X_36732),X_36731))) ),
inference(subst,[],[refute_0_15:[bind(X_75,$fot(i(i(X_36732,X_36732),X_36731))),bind(X_76,$fot(X_36732)),bind(X_77,$fot(i(X_36732,X_36732))),bind(X_78,$fot(X_36731))]]) ).
cnf(refute_0_22,plain,
( ~ p(i(i(X_36658,X_36658),i(i(X_36658,X_36659),i(X_36658,X_36658))))
| p(i(i(i(i(X_36658,X_36659),i(X_36658,X_36658)),C),i(i(X_36658,X_36658),C))) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(i(X_36658,X_36658))),bind(B,$fot(i(i(X_36658,X_36659),i(X_36658,X_36658))))]]) ).
cnf(refute_0_23,plain,
( ~ p(i(i(i(X_36656,X_36657),i(X_36656,X_36656)),i(i(X_36656,X_36656),i(i(X_36656,X_36657),i(X_36656,X_36656)))))
| ~ p(i(i(i(i(X_36656,X_36657),i(X_36656,X_36656)),i(i(X_36656,X_36656),i(i(X_36656,X_36657),i(X_36656,X_36656)))),i(i(X_36656,X_36656),i(i(X_36656,X_36657),i(X_36656,X_36656)))))
| p(i(i(X_36656,X_36656),i(i(X_36656,X_36657),i(X_36656,X_36656)))) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(i(i(X_36656,X_36657),i(X_36656,X_36656)),i(i(X_36656,X_36656),i(i(X_36656,X_36657),i(X_36656,X_36656)))))),bind(B,$fot(i(i(X_36656,X_36656),i(i(X_36656,X_36657),i(X_36656,X_36656)))))]]) ).
cnf(refute_0_24,plain,
( ~ p(i(i(X,Y),Y))
| ~ p(i(i(i(X,Y),Y),i(i(Y,X),X)))
| p(i(i(Y,X),X)) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(i(X,Y),Y))),bind(B,$fot(i(i(Y,X),X)))]]) ).
cnf(refute_0_25,plain,
( ~ p(i(i(X,Y),Y))
| p(i(i(Y,X),X)) ),
inference(resolve,[$cnf( p(i(i(i(X,Y),Y),i(i(Y,X),X))) )],[axL,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ p(i(i(i(i(X_36653,X_36653),i(i(X_36653,X_36654),i(X_36653,X_36653))),i(i(X_36653,X_36654),i(X_36653,X_36653))),i(i(X_36653,X_36654),i(X_36653,X_36653))))
| p(i(i(i(i(X_36653,X_36654),i(X_36653,X_36653)),i(i(X_36653,X_36653),i(i(X_36653,X_36654),i(X_36653,X_36653)))),i(i(X_36653,X_36653),i(i(X_36653,X_36654),i(X_36653,X_36653))))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(i(i(X_36653,X_36653),i(i(X_36653,X_36654),i(X_36653,X_36653))))),bind(Y,$fot(i(i(X_36653,X_36654),i(X_36653,X_36653))))]]) ).
cnf(refute_0_27,plain,
( ~ p(i(i(i(X_67,X_66),X_66),X_68))
| ~ p(i(i(i(i(X_67,X_66),X_66),X_68),i(i(i(X_66,X_67),X_67),X_68)))
| p(i(i(i(X_66,X_67),X_67),X_68)) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(i(i(X_67,X_66),X_66),X_68))),bind(B,$fot(i(i(i(X_66,X_67),X_67),X_68)))]]) ).
cnf(refute_0_28,plain,
( ~ p(i(i(i(X_67,X_66),X_66),X_68))
| p(i(i(i(X_66,X_67),X_67),X_68)) ),
inference(resolve,[$cnf( p(i(i(i(i(X_67,X_66),X_66),X_68),i(i(i(X_66,X_67),X_67),X_68))) )],[refute_0_12,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ p(i(i(i(i(i(X_32202,X_32201),i(X_32200,X_32202)),i(X_32200,X_32202)),i(X_32200,X_32202)),i(i(X_32200,X_32201),i(X_32200,X_32202))))
| p(i(i(i(i(X_32200,X_32202),i(i(X_32202,X_32201),i(X_32200,X_32202))),i(i(X_32202,X_32201),i(X_32200,X_32202))),i(i(X_32200,X_32201),i(X_32200,X_32202)))) ),
inference(subst,[],[refute_0_28:[bind(X_66,$fot(i(X_32200,X_32202))),bind(X_67,$fot(i(i(X_32202,X_32201),i(X_32200,X_32202)))),bind(X_68,$fot(i(i(X_32200,X_32201),i(X_32200,X_32202))))]]) ).
cnf(refute_0_30,plain,
( ~ p(i(i(X_2099,X_2100),i(i(i(X_2099,X_2101),i(X_2101,X_2100)),i(X_2101,X_2100))))
| p(i(i(i(i(i(X_2099,X_2101),i(X_2101,X_2100)),i(X_2101,X_2100)),C),i(i(X_2099,X_2100),C))) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(i(X_2099,X_2100))),bind(B,$fot(i(i(i(X_2099,X_2101),i(X_2101,X_2100)),i(X_2101,X_2100))))]]) ).
cnf(refute_0_31,plain,
( ~ p(i(f(i(i(X_1672,X_1673),X_1674),i(X_1674,i(X_1673,X_1672))),i(X_1673,X_1672)))
| p(i(i(i(X_1672,X_1673),X_1674),i(i(X_1674,i(X_1673,X_1672)),i(X_1673,X_1672)))) ),
inference(subst,[],[resid1:[bind(A,$fot(i(i(X_1672,X_1673),X_1674))),bind(B,$fot(i(X_1674,i(X_1673,X_1672)))),bind(C,$fot(i(X_1673,X_1672)))]]) ).
cnf(refute_0_32,plain,
( ~ p(i(i(X_52,X_54),X_55))
| ~ p(i(i(i(X_52,X_54),X_55),i(f(i(X_52,X_53),i(X_53,X_54)),X_55)))
| p(i(f(i(X_52,X_53),i(X_53,X_54)),X_55)) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(i(X_52,X_54),X_55))),bind(B,$fot(i(f(i(X_52,X_53),i(X_53,X_54)),X_55)))]]) ).
cnf(refute_0_33,plain,
( ~ p(i(i(A,B),i(i(B,C),i(A,C))))
| p(i(f(i(A,B),i(B,C)),i(A,C))) ),
inference(subst,[],[resid2:[bind(A,$fot(i(A,B))),bind(B,$fot(i(B,C))),bind(C,$fot(i(A,C)))]]) ).
cnf(refute_0_34,plain,
p(i(f(i(A,B),i(B,C)),i(A,C))),
inference(resolve,[$cnf( p(i(i(A,B),i(i(B,C),i(A,C)))) )],[axBp,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ p(i(f(i(A,B),i(B,C)),i(A,C)))
| p(i(i(i(A,C),X_51),i(f(i(A,B),i(B,C)),X_51))) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(f(i(A,B),i(B,C)))),bind(B,$fot(i(A,C))),bind(C,$fot(X_51))]]) ).
cnf(refute_0_36,plain,
p(i(i(i(A,C),X_51),i(f(i(A,B),i(B,C)),X_51))),
inference(resolve,[$cnf( p(i(f(i(A,B),i(B,C)),i(A,C))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
p(i(i(i(X_52,X_54),X_55),i(f(i(X_52,X_53),i(X_53,X_54)),X_55))),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_52)),bind(B,$fot(X_53)),bind(C,$fot(X_54)),bind(X_51,$fot(X_55))]]) ).
cnf(refute_0_38,plain,
( ~ p(i(i(X_52,X_54),X_55))
| p(i(f(i(X_52,X_53),i(X_53,X_54)),X_55)) ),
inference(resolve,[$cnf( p(i(i(i(X_52,X_54),X_55),i(f(i(X_52,X_53),i(X_53,X_54)),X_55))) )],[refute_0_37,refute_0_32]) ).
cnf(refute_0_39,plain,
( ~ p(i(i(i(X,Y),i(Y,X)),i(Y,X)))
| p(i(f(i(i(X,Y),X_1637),i(X_1637,i(Y,X))),i(Y,X))) ),
inference(subst,[],[refute_0_38:[bind(X_52,$fot(i(X,Y))),bind(X_53,$fot(X_1637)),bind(X_54,$fot(i(Y,X))),bind(X_55,$fot(i(Y,X)))]]) ).
cnf(refute_0_40,plain,
p(i(f(i(i(X,Y),X_1637),i(X_1637,i(Y,X))),i(Y,X))),
inference(resolve,[$cnf( p(i(i(i(X,Y),i(Y,X)),i(Y,X))) )],[axTO,refute_0_39]) ).
cnf(refute_0_41,plain,
p(i(f(i(i(X_1672,X_1673),X_1674),i(X_1674,i(X_1673,X_1672))),i(X_1673,X_1672))),
inference(subst,[],[refute_0_40:[bind(X,$fot(X_1672)),bind(Y,$fot(X_1673)),bind(X_1637,$fot(X_1674))]]) ).
cnf(refute_0_42,plain,
p(i(i(i(X_1672,X_1673),X_1674),i(i(X_1674,i(X_1673,X_1672)),i(X_1673,X_1672)))),
inference(resolve,[$cnf( p(i(f(i(i(X_1672,X_1673),X_1674),i(X_1674,i(X_1673,X_1672))),i(X_1673,X_1672))) )],[refute_0_41,refute_0_31]) ).
cnf(refute_0_43,plain,
p(i(i(i(X_2011,X_2012),i(X_2010,X_2012)),i(i(i(X_2010,X_2012),i(X_2012,X_2011)),i(X_2012,X_2011)))),
inference(subst,[],[refute_0_42:[bind(X_1672,$fot(X_2011)),bind(X_1673,$fot(X_2012)),bind(X_1674,$fot(i(X_2010,X_2012)))]]) ).
cnf(refute_0_44,plain,
( ~ p(i(i(i(X_57,X_58),i(X_56,X_58)),X_59))
| ~ p(i(i(i(i(X_57,X_58),i(X_56,X_58)),X_59),i(i(X_56,X_57),X_59)))
| p(i(i(X_56,X_57),X_59)) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(i(i(X_57,X_58),i(X_56,X_58)),X_59))),bind(B,$fot(i(i(X_56,X_57),X_59)))]]) ).
cnf(refute_0_45,plain,
( ~ p(i(i(A,B),i(i(B,C),i(A,C))))
| p(i(i(i(i(B,C),i(A,C)),X_51),i(i(A,B),X_51))) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(i(A,B))),bind(B,$fot(i(i(B,C),i(A,C)))),bind(C,$fot(X_51))]]) ).
cnf(refute_0_46,plain,
p(i(i(i(i(B,C),i(A,C)),X_51),i(i(A,B),X_51))),
inference(resolve,[$cnf( p(i(i(A,B),i(i(B,C),i(A,C)))) )],[axBp,refute_0_45]) ).
cnf(refute_0_47,plain,
p(i(i(i(i(X_57,X_58),i(X_56,X_58)),X_59),i(i(X_56,X_57),X_59))),
inference(subst,[],[refute_0_46:[bind(A,$fot(X_56)),bind(B,$fot(X_57)),bind(C,$fot(X_58)),bind(X_51,$fot(X_59))]]) ).
cnf(refute_0_48,plain,
( ~ p(i(i(i(X_57,X_58),i(X_56,X_58)),X_59))
| p(i(i(X_56,X_57),X_59)) ),
inference(resolve,[$cnf( p(i(i(i(i(X_57,X_58),i(X_56,X_58)),X_59),i(i(X_56,X_57),X_59))) )],[refute_0_47,refute_0_44]) ).
cnf(refute_0_49,plain,
( ~ p(i(i(i(X_2011,X_2012),i(X_2010,X_2012)),i(i(i(X_2010,X_2012),i(X_2012,X_2011)),i(X_2012,X_2011))))
| p(i(i(X_2010,X_2011),i(i(i(X_2010,X_2012),i(X_2012,X_2011)),i(X_2012,X_2011)))) ),
inference(subst,[],[refute_0_48:[bind(X_56,$fot(X_2010)),bind(X_57,$fot(X_2011)),bind(X_58,$fot(X_2012)),bind(X_59,$fot(i(i(i(X_2010,X_2012),i(X_2012,X_2011)),i(X_2012,X_2011))))]]) ).
cnf(refute_0_50,plain,
p(i(i(X_2010,X_2011),i(i(i(X_2010,X_2012),i(X_2012,X_2011)),i(X_2012,X_2011)))),
inference(resolve,[$cnf( p(i(i(i(X_2011,X_2012),i(X_2010,X_2012)),i(i(i(X_2010,X_2012),i(X_2012,X_2011)),i(X_2012,X_2011)))) )],[refute_0_43,refute_0_49]) ).
cnf(refute_0_51,plain,
p(i(i(X_2099,X_2100),i(i(i(X_2099,X_2101),i(X_2101,X_2100)),i(X_2101,X_2100)))),
inference(subst,[],[refute_0_50:[bind(X_2010,$fot(X_2099)),bind(X_2011,$fot(X_2100)),bind(X_2012,$fot(X_2101))]]) ).
cnf(refute_0_52,plain,
p(i(i(i(i(i(X_2099,X_2101),i(X_2101,X_2100)),i(X_2101,X_2100)),C),i(i(X_2099,X_2100),C))),
inference(resolve,[$cnf( p(i(i(X_2099,X_2100),i(i(i(X_2099,X_2101),i(X_2101,X_2100)),i(X_2101,X_2100)))) )],[refute_0_51,refute_0_30]) ).
cnf(refute_0_53,plain,
p(i(i(i(i(i(X_2099,X_2101),i(X_2101,X_2100)),i(X_2101,X_2100)),X_26129),i(i(X_2099,X_2100),X_26129))),
inference(subst,[],[refute_0_52:[bind(C,$fot(X_26129))]]) ).
cnf(refute_0_54,plain,
( ~ p(i(i(i(i(i(X_2099,X_2101),i(X_2101,X_2100)),i(X_2101,X_2100)),X_26129),i(i(X_2099,X_2100),X_26129)))
| p(i(i(i(i(i(X_2101,X_2100),i(X_2099,X_2101)),i(X_2099,X_2101)),X_26129),i(i(X_2099,X_2100),X_26129))) ),
inference(subst,[],[refute_0_15:[bind(X_75,$fot(i(i(X_2099,X_2100),X_26129))),bind(X_76,$fot(i(X_2099,X_2101))),bind(X_77,$fot(i(X_2101,X_2100))),bind(X_78,$fot(X_26129))]]) ).
cnf(refute_0_55,plain,
p(i(i(i(i(i(X_2101,X_2100),i(X_2099,X_2101)),i(X_2099,X_2101)),X_26129),i(i(X_2099,X_2100),X_26129))),
inference(resolve,[$cnf( p(i(i(i(i(i(X_2099,X_2101),i(X_2101,X_2100)),i(X_2101,X_2100)),X_26129),i(i(X_2099,X_2100),X_26129))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
p(i(i(i(i(i(X_32202,X_32201),i(X_32200,X_32202)),i(X_32200,X_32202)),i(X_32200,X_32202)),i(i(X_32200,X_32201),i(X_32200,X_32202)))),
inference(subst,[],[refute_0_55:[bind(X_2099,$fot(X_32200)),bind(X_2100,$fot(X_32201)),bind(X_2101,$fot(X_32202)),bind(X_26129,$fot(i(X_32200,X_32202)))]]) ).
cnf(refute_0_57,plain,
p(i(i(i(i(X_32200,X_32202),i(i(X_32202,X_32201),i(X_32200,X_32202))),i(i(X_32202,X_32201),i(X_32200,X_32202))),i(i(X_32200,X_32201),i(X_32200,X_32202)))),
inference(resolve,[$cnf( p(i(i(i(i(i(X_32202,X_32201),i(X_32200,X_32202)),i(X_32200,X_32202)),i(X_32200,X_32202)),i(i(X_32200,X_32201),i(X_32200,X_32202)))) )],[refute_0_56,refute_0_29]) ).
cnf(refute_0_58,plain,
p(i(i(i(i(X_36653,X_36653),i(i(X_36653,X_36654),i(X_36653,X_36653))),i(i(X_36653,X_36654),i(X_36653,X_36653))),i(i(X_36653,X_36654),i(X_36653,X_36653)))),
inference(subst,[],[refute_0_57:[bind(X_32200,$fot(X_36653)),bind(X_32201,$fot(X_36654)),bind(X_32202,$fot(X_36653))]]) ).
cnf(refute_0_59,plain,
p(i(i(i(i(X_36653,X_36654),i(X_36653,X_36653)),i(i(X_36653,X_36653),i(i(X_36653,X_36654),i(X_36653,X_36653)))),i(i(X_36653,X_36653),i(i(X_36653,X_36654),i(X_36653,X_36653))))),
inference(resolve,[$cnf( p(i(i(i(i(X_36653,X_36653),i(i(X_36653,X_36654),i(X_36653,X_36653))),i(i(X_36653,X_36654),i(X_36653,X_36653))),i(i(X_36653,X_36654),i(X_36653,X_36653)))) )],[refute_0_58,refute_0_26]) ).
cnf(refute_0_60,plain,
p(i(i(i(i(X_36656,X_36657),i(X_36656,X_36656)),i(i(X_36656,X_36656),i(i(X_36656,X_36657),i(X_36656,X_36656)))),i(i(X_36656,X_36656),i(i(X_36656,X_36657),i(X_36656,X_36656))))),
inference(subst,[],[refute_0_59:[bind(X_36653,$fot(X_36656)),bind(X_36654,$fot(X_36657))]]) ).
cnf(refute_0_61,plain,
( ~ p(i(i(i(X_36656,X_36657),i(X_36656,X_36656)),i(i(X_36656,X_36656),i(i(X_36656,X_36657),i(X_36656,X_36656)))))
| p(i(i(X_36656,X_36656),i(i(X_36656,X_36657),i(X_36656,X_36656)))) ),
inference(resolve,[$cnf( p(i(i(i(i(X_36656,X_36657),i(X_36656,X_36656)),i(i(X_36656,X_36656),i(i(X_36656,X_36657),i(X_36656,X_36656)))),i(i(X_36656,X_36656),i(i(X_36656,X_36657),i(X_36656,X_36656))))) )],[refute_0_60,refute_0_23]) ).
cnf(refute_0_62,plain,
( ~ p(i(i(i(i(X_31385,X_31386),i(X_31387,X_31386)),i(X_56,i(X_31387,X_31386))),i(i(X_31387,X_31386),i(X_56,i(X_31387,X_31386)))))
| p(i(i(X_56,i(X_31385,X_31386)),i(i(X_31387,X_31386),i(X_56,i(X_31387,X_31386))))) ),
inference(subst,[],[refute_0_48:[bind(X_57,$fot(i(X_31385,X_31386))),bind(X_58,$fot(i(X_31387,X_31386))),bind(X_59,$fot(i(i(X_31387,X_31386),i(X_56,i(X_31387,X_31386)))))]]) ).
cnf(refute_0_63,plain,
( ~ p(i(i(X_31130,X_31129),i(i(X_31128,X_31129),i(X_31130,X_31129))))
| p(i(i(i(i(X_31128,X_31129),i(X_31130,X_31129)),C),i(i(X_31130,X_31129),C))) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(i(X_31130,X_31129))),bind(B,$fot(i(i(X_31128,X_31129),i(X_31130,X_31129))))]]) ).
cnf(refute_0_64,plain,
( ~ p(i(i(i(X_30928,X_30928),i(X_56,X_30928)),i(i(X_30927,X_30928),i(X_56,X_30928))))
| p(i(i(X_56,X_30928),i(i(X_30927,X_30928),i(X_56,X_30928)))) ),
inference(subst,[],[refute_0_48:[bind(X_57,$fot(X_30928)),bind(X_58,$fot(X_30928)),bind(X_59,$fot(i(i(X_30927,X_30928),i(X_56,X_30928))))]]) ).
cnf(refute_0_65,plain,
( ~ p(i(i(X_30882,X_30883),i(X_30883,X_30883)))
| p(i(i(i(X_30883,X_30883),C),i(i(X_30882,X_30883),C))) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(i(X_30882,X_30883))),bind(B,$fot(i(X_30883,X_30883)))]]) ).
cnf(refute_0_66,plain,
( ~ p(i(X_30881,X_30881))
| ~ p(i(i(X_30881,X_30881),i(i(X_30880,X_30881),i(X_30881,X_30881))))
| p(i(i(X_30880,X_30881),i(X_30881,X_30881))) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(X_30881,X_30881))),bind(B,$fot(i(i(X_30880,X_30881),i(X_30881,X_30881))))]]) ).
cnf(refute_0_67,plain,
( ~ p(i(i(i(X_30878,X_30879),i(X_30879,X_30879)),i(i(X_30879,X_30879),i(i(X_30878,X_30879),i(X_30879,X_30879)))))
| ~ p(i(i(i(i(X_30878,X_30879),i(X_30879,X_30879)),i(i(X_30879,X_30879),i(i(X_30878,X_30879),i(X_30879,X_30879)))),i(i(X_30879,X_30879),i(i(X_30878,X_30879),i(X_30879,X_30879)))))
| p(i(i(X_30879,X_30879),i(i(X_30878,X_30879),i(X_30879,X_30879)))) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(i(i(X_30878,X_30879),i(X_30879,X_30879)),i(i(X_30879,X_30879),i(i(X_30878,X_30879),i(X_30879,X_30879)))))),bind(B,$fot(i(i(X_30879,X_30879),i(i(X_30878,X_30879),i(X_30879,X_30879)))))]]) ).
cnf(refute_0_68,plain,
p(i(i(i(i(i(X_2099,X_2101),i(X_2101,X_2101)),i(X_2101,X_2101)),i(X_2101,X_2101)),i(i(X_2099,X_2101),i(X_2101,X_2101)))),
inference(subst,[],[refute_0_52:[bind(C,$fot(i(X_2101,X_2101))),bind(X_2100,$fot(X_2101))]]) ).
cnf(refute_0_69,plain,
( ~ p(i(i(i(i(i(X_2099,X_2101),i(X_2101,X_2101)),i(X_2101,X_2101)),i(X_2101,X_2101)),i(i(X_2099,X_2101),i(X_2101,X_2101))))
| p(i(i(i(i(X_2099,X_2101),i(X_2101,X_2101)),i(i(X_2101,X_2101),i(i(X_2099,X_2101),i(X_2101,X_2101)))),i(i(X_2101,X_2101),i(i(X_2099,X_2101),i(X_2101,X_2101))))) ),
inference(subst,[],[refute_0_19:[bind(X_26169,$fot(i(X_2101,X_2101))),bind(X_26170,$fot(i(i(X_2099,X_2101),i(X_2101,X_2101))))]]) ).
cnf(refute_0_70,plain,
p(i(i(i(i(X_2099,X_2101),i(X_2101,X_2101)),i(i(X_2101,X_2101),i(i(X_2099,X_2101),i(X_2101,X_2101)))),i(i(X_2101,X_2101),i(i(X_2099,X_2101),i(X_2101,X_2101))))),
inference(resolve,[$cnf( p(i(i(i(i(i(X_2099,X_2101),i(X_2101,X_2101)),i(X_2101,X_2101)),i(X_2101,X_2101)),i(i(X_2099,X_2101),i(X_2101,X_2101)))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
p(i(i(i(i(X_30878,X_30879),i(X_30879,X_30879)),i(i(X_30879,X_30879),i(i(X_30878,X_30879),i(X_30879,X_30879)))),i(i(X_30879,X_30879),i(i(X_30878,X_30879),i(X_30879,X_30879))))),
inference(subst,[],[refute_0_70:[bind(X_2099,$fot(X_30878)),bind(X_2101,$fot(X_30879))]]) ).
cnf(refute_0_72,plain,
( ~ p(i(i(i(X_30878,X_30879),i(X_30879,X_30879)),i(i(X_30879,X_30879),i(i(X_30878,X_30879),i(X_30879,X_30879)))))
| p(i(i(X_30879,X_30879),i(i(X_30878,X_30879),i(X_30879,X_30879)))) ),
inference(resolve,[$cnf( p(i(i(i(i(X_30878,X_30879),i(X_30879,X_30879)),i(i(X_30879,X_30879),i(i(X_30878,X_30879),i(X_30879,X_30879)))),i(i(X_30879,X_30879),i(i(X_30878,X_30879),i(X_30879,X_30879))))) )],[refute_0_71,refute_0_67]) ).
cnf(refute_0_73,plain,
p(i(i(i(i(B,C),i(A,C)),i(X_2010,i(A,C))),i(i(A,B),i(X_2010,i(A,C))))),
inference(subst,[],[refute_0_46:[bind(X_51,$fot(i(X_2010,i(A,C))))]]) ).
cnf(refute_0_74,plain,
( ~ p(i(i(i(i(B,C),i(A,C)),i(X_2010,i(A,C))),i(i(A,B),i(X_2010,i(A,C)))))
| p(i(i(X_2010,i(B,C)),i(i(A,B),i(X_2010,i(A,C))))) ),
inference(subst,[],[refute_0_48:[bind(X_56,$fot(X_2010)),bind(X_57,$fot(i(B,C))),bind(X_58,$fot(i(A,C))),bind(X_59,$fot(i(i(A,B),i(X_2010,i(A,C)))))]]) ).
cnf(refute_0_75,plain,
p(i(i(X_2010,i(B,C)),i(i(A,B),i(X_2010,i(A,C))))),
inference(resolve,[$cnf( p(i(i(i(i(B,C),i(A,C)),i(X_2010,i(A,C))),i(i(A,B),i(X_2010,i(A,C))))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
p(i(i(i(X_30878,X_30879),i(X_30879,X_30879)),i(i(X_30879,X_30879),i(i(X_30878,X_30879),i(X_30879,X_30879))))),
inference(subst,[],[refute_0_75:[bind(A,$fot(X_30879)),bind(B,$fot(X_30879)),bind(C,$fot(X_30879)),bind(X_2010,$fot(i(X_30878,X_30879)))]]) ).
cnf(refute_0_77,plain,
p(i(i(X_30879,X_30879),i(i(X_30878,X_30879),i(X_30879,X_30879)))),
inference(resolve,[$cnf( p(i(i(i(X_30878,X_30879),i(X_30879,X_30879)),i(i(X_30879,X_30879),i(i(X_30878,X_30879),i(X_30879,X_30879))))) )],[refute_0_76,refute_0_72]) ).
cnf(refute_0_78,plain,
p(i(i(X_30881,X_30881),i(i(X_30880,X_30881),i(X_30881,X_30881)))),
inference(subst,[],[refute_0_77:[bind(X_30878,$fot(X_30880)),bind(X_30879,$fot(X_30881))]]) ).
cnf(refute_0_79,plain,
( ~ p(i(X_30881,X_30881))
| p(i(i(X_30880,X_30881),i(X_30881,X_30881))) ),
inference(resolve,[$cnf( p(i(i(X_30881,X_30881),i(i(X_30880,X_30881),i(X_30881,X_30881)))) )],[refute_0_78,refute_0_66]) ).
cnf(refute_0_80,plain,
( ~ p(i(i(X,Y),i(Y,X)))
| ~ p(i(i(i(X,Y),i(Y,X)),i(Y,X)))
| p(i(Y,X)) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(i(X,Y),i(Y,X)))),bind(B,$fot(i(Y,X)))]]) ).
cnf(refute_0_81,plain,
( ~ p(i(i(X,Y),i(Y,X)))
| p(i(Y,X)) ),
inference(resolve,[$cnf( p(i(i(i(X,Y),i(Y,X)),i(Y,X))) )],[axTO,refute_0_80]) ).
cnf(refute_0_82,plain,
( ~ p(i(i(X_294,X_294),i(X_294,X_294)))
| p(i(X_294,X_294)) ),
inference(subst,[],[refute_0_81:[bind(X,$fot(X_294)),bind(Y,$fot(X_294))]]) ).
cnf(refute_0_83,plain,
( ~ p(i(i(i(X_291,X_291),i(X_291,X_291)),i(i(X_291,X_291),i(X_291,X_291))))
| p(i(i(X_291,X_291),i(X_291,X_291))) ),
inference(subst,[],[refute_0_81:[bind(X,$fot(i(X_291,X_291))),bind(Y,$fot(i(X_291,X_291)))]]) ).
cnf(refute_0_84,plain,
p(i(i(X_285,X_284),i(i(X_284,C),i(X_285,C)))),
inference(subst,[],[axBp:[bind(A,$fot(X_285)),bind(B,$fot(X_284))]]) ).
cnf(refute_0_85,plain,
( ~ p(i(i(X_86,X_85),X_87))
| ~ p(i(i(i(X_86,X_85),X_87),i(i(i(X_85,X_86),i(X_86,X_85)),X_87)))
| p(i(i(i(X_85,X_86),i(X_86,X_85)),X_87)) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(i(X_86,X_85),X_87))),bind(B,$fot(i(i(i(X_85,X_86),i(X_86,X_85)),X_87)))]]) ).
cnf(refute_0_86,plain,
( ~ p(i(i(i(X,Y),i(Y,X)),i(Y,X)))
| p(i(i(i(Y,X),X_51),i(i(i(X,Y),i(Y,X)),X_51))) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(i(i(X,Y),i(Y,X)))),bind(B,$fot(i(Y,X))),bind(C,$fot(X_51))]]) ).
cnf(refute_0_87,plain,
p(i(i(i(Y,X),X_51),i(i(i(X,Y),i(Y,X)),X_51))),
inference(resolve,[$cnf( p(i(i(i(X,Y),i(Y,X)),i(Y,X))) )],[axTO,refute_0_86]) ).
cnf(refute_0_88,plain,
p(i(i(i(X_86,X_85),X_87),i(i(i(X_85,X_86),i(X_86,X_85)),X_87))),
inference(subst,[],[refute_0_87:[bind(X,$fot(X_85)),bind(Y,$fot(X_86)),bind(X_51,$fot(X_87))]]) ).
cnf(refute_0_89,plain,
( ~ p(i(i(X_86,X_85),X_87))
| p(i(i(i(X_85,X_86),i(X_86,X_85)),X_87)) ),
inference(resolve,[$cnf( p(i(i(i(X_86,X_85),X_87),i(i(i(X_85,X_86),i(X_86,X_85)),X_87))) )],[refute_0_88,refute_0_85]) ).
cnf(refute_0_90,plain,
( ~ p(i(i(X_285,X_284),i(i(X_284,C),i(X_285,C))))
| p(i(i(i(X_284,X_285),i(X_285,X_284)),i(i(X_284,C),i(X_285,C)))) ),
inference(subst,[],[refute_0_89:[bind(X_85,$fot(X_284)),bind(X_86,$fot(X_285)),bind(X_87,$fot(i(i(X_284,C),i(X_285,C))))]]) ).
cnf(refute_0_91,plain,
p(i(i(i(X_284,X_285),i(X_285,X_284)),i(i(X_284,C),i(X_285,C)))),
inference(resolve,[$cnf( p(i(i(X_285,X_284),i(i(X_284,C),i(X_285,C)))) )],[refute_0_84,refute_0_90]) ).
cnf(refute_0_92,plain,
p(i(i(i(X_291,X_291),i(X_291,X_291)),i(i(X_291,X_291),i(X_291,X_291)))),
inference(subst,[],[refute_0_91:[bind(C,$fot(X_291)),bind(X_284,$fot(X_291)),bind(X_285,$fot(X_291))]]) ).
cnf(refute_0_93,plain,
p(i(i(X_291,X_291),i(X_291,X_291))),
inference(resolve,[$cnf( p(i(i(i(X_291,X_291),i(X_291,X_291)),i(i(X_291,X_291),i(X_291,X_291)))) )],[refute_0_92,refute_0_83]) ).
cnf(refute_0_94,plain,
p(i(i(X_294,X_294),i(X_294,X_294))),
inference(subst,[],[refute_0_93:[bind(X_291,$fot(X_294))]]) ).
cnf(refute_0_95,plain,
p(i(X_294,X_294)),
inference(resolve,[$cnf( p(i(i(X_294,X_294),i(X_294,X_294))) )],[refute_0_94,refute_0_82]) ).
cnf(refute_0_96,plain,
p(i(X_30881,X_30881)),
inference(subst,[],[refute_0_95:[bind(X_294,$fot(X_30881))]]) ).
cnf(refute_0_97,plain,
p(i(i(X_30880,X_30881),i(X_30881,X_30881))),
inference(resolve,[$cnf( p(i(X_30881,X_30881)) )],[refute_0_96,refute_0_79]) ).
cnf(refute_0_98,plain,
p(i(i(X_30882,X_30883),i(X_30883,X_30883))),
inference(subst,[],[refute_0_97:[bind(X_30880,$fot(X_30882)),bind(X_30881,$fot(X_30883))]]) ).
cnf(refute_0_99,plain,
p(i(i(i(X_30883,X_30883),C),i(i(X_30882,X_30883),C))),
inference(resolve,[$cnf( p(i(i(X_30882,X_30883),i(X_30883,X_30883))) )],[refute_0_98,refute_0_65]) ).
cnf(refute_0_100,plain,
p(i(i(i(X_30928,X_30928),i(X_56,X_30928)),i(i(X_30927,X_30928),i(X_56,X_30928)))),
inference(subst,[],[refute_0_99:[bind(C,$fot(i(X_56,X_30928))),bind(X_30882,$fot(X_30927)),bind(X_30883,$fot(X_30928))]]) ).
cnf(refute_0_101,plain,
p(i(i(X_56,X_30928),i(i(X_30927,X_30928),i(X_56,X_30928)))),
inference(resolve,[$cnf( p(i(i(i(X_30928,X_30928),i(X_56,X_30928)),i(i(X_30927,X_30928),i(X_56,X_30928)))) )],[refute_0_100,refute_0_64]) ).
cnf(refute_0_102,plain,
p(i(i(X_31130,X_31129),i(i(X_31128,X_31129),i(X_31130,X_31129)))),
inference(subst,[],[refute_0_101:[bind(X_30927,$fot(X_31128)),bind(X_30928,$fot(X_31129)),bind(X_56,$fot(X_31130))]]) ).
cnf(refute_0_103,plain,
p(i(i(i(i(X_31128,X_31129),i(X_31130,X_31129)),C),i(i(X_31130,X_31129),C))),
inference(resolve,[$cnf( p(i(i(X_31130,X_31129),i(i(X_31128,X_31129),i(X_31130,X_31129)))) )],[refute_0_102,refute_0_63]) ).
cnf(refute_0_104,plain,
p(i(i(i(i(X_31385,X_31386),i(X_31387,X_31386)),i(X_56,i(X_31387,X_31386))),i(i(X_31387,X_31386),i(X_56,i(X_31387,X_31386))))),
inference(subst,[],[refute_0_103:[bind(C,$fot(i(X_56,i(X_31387,X_31386)))),bind(X_31128,$fot(X_31385)),bind(X_31129,$fot(X_31386)),bind(X_31130,$fot(X_31387))]]) ).
cnf(refute_0_105,plain,
p(i(i(X_56,i(X_31385,X_31386)),i(i(X_31387,X_31386),i(X_56,i(X_31387,X_31386))))),
inference(resolve,[$cnf( p(i(i(i(i(X_31385,X_31386),i(X_31387,X_31386)),i(X_56,i(X_31387,X_31386))),i(i(X_31387,X_31386),i(X_56,i(X_31387,X_31386))))) )],[refute_0_104,refute_0_62]) ).
cnf(refute_0_106,plain,
p(i(i(i(X_36656,X_36657),i(X_36656,X_36656)),i(i(X_36656,X_36656),i(i(X_36656,X_36657),i(X_36656,X_36656))))),
inference(subst,[],[refute_0_105:[bind(X_31385,$fot(X_36656)),bind(X_31386,$fot(X_36656)),bind(X_31387,$fot(X_36656)),bind(X_56,$fot(i(X_36656,X_36657)))]]) ).
cnf(refute_0_107,plain,
p(i(i(X_36656,X_36656),i(i(X_36656,X_36657),i(X_36656,X_36656)))),
inference(resolve,[$cnf( p(i(i(i(X_36656,X_36657),i(X_36656,X_36656)),i(i(X_36656,X_36656),i(i(X_36656,X_36657),i(X_36656,X_36656))))) )],[refute_0_106,refute_0_61]) ).
cnf(refute_0_108,plain,
p(i(i(X_36658,X_36658),i(i(X_36658,X_36659),i(X_36658,X_36658)))),
inference(subst,[],[refute_0_107:[bind(X_36656,$fot(X_36658)),bind(X_36657,$fot(X_36659))]]) ).
cnf(refute_0_109,plain,
p(i(i(i(i(X_36658,X_36659),i(X_36658,X_36658)),C),i(i(X_36658,X_36658),C))),
inference(resolve,[$cnf( p(i(i(X_36658,X_36658),i(i(X_36658,X_36659),i(X_36658,X_36658)))) )],[refute_0_108,refute_0_22]) ).
cnf(refute_0_110,plain,
p(i(i(i(i(X_36732,i(X_36732,X_36732)),i(X_36732,X_36732)),X_36731),i(i(X_36732,X_36732),X_36731))),
inference(subst,[],[refute_0_109:[bind(C,$fot(X_36731)),bind(X_36658,$fot(X_36732)),bind(X_36659,$fot(i(X_36732,X_36732)))]]) ).
cnf(refute_0_111,plain,
p(i(i(i(i(i(X_36732,X_36732),X_36732),X_36732),X_36731),i(i(X_36732,X_36732),X_36731))),
inference(resolve,[$cnf( p(i(i(i(i(X_36732,i(X_36732,X_36732)),i(X_36732,X_36732)),X_36731),i(i(X_36732,X_36732),X_36731))) )],[refute_0_110,refute_0_21]) ).
cnf(refute_0_112,plain,
p(i(i(i(i(i(X_36734,X_36734),X_36734),X_36734),X_36734),i(i(X_36734,X_36734),X_36734))),
inference(subst,[],[refute_0_111:[bind(X_36731,$fot(X_36734)),bind(X_36732,$fot(X_36734))]]) ).
cnf(refute_0_113,plain,
p(i(i(i(i(X_36734,X_36734),X_36734),i(X_36734,i(i(X_36734,X_36734),X_36734))),i(X_36734,i(i(X_36734,X_36734),X_36734)))),
inference(resolve,[$cnf( p(i(i(i(i(i(X_36734,X_36734),X_36734),X_36734),X_36734),i(i(X_36734,X_36734),X_36734))) )],[refute_0_112,refute_0_20]) ).
cnf(refute_0_114,plain,
p(i(i(i(i(X_36769,X_36769),X_36769),i(X_36769,i(i(X_36769,X_36769),X_36769))),i(X_36769,i(i(X_36769,X_36769),X_36769)))),
inference(subst,[],[refute_0_113:[bind(X_36734,$fot(X_36769))]]) ).
cnf(refute_0_115,plain,
( ~ p(i(i(i(X_36769,X_36769),X_36769),i(X_36769,i(i(X_36769,X_36769),X_36769))))
| p(i(X_36769,i(i(X_36769,X_36769),X_36769))) ),
inference(resolve,[$cnf( p(i(i(i(i(X_36769,X_36769),X_36769),i(X_36769,i(i(X_36769,X_36769),X_36769))),i(X_36769,i(i(X_36769,X_36769),X_36769)))) )],[refute_0_114,refute_0_7]) ).
cnf(refute_0_116,plain,
( ~ p(i(X_2069,i(X_2071,X_2070)))
| ~ p(i(i(X_2069,i(X_2071,X_2070)),i(i(i(X_2071,X_2072),X_2072),i(X_2069,i(i(X_2072,X_2071),X_2070)))))
| p(i(i(i(X_2071,X_2072),X_2072),i(X_2069,i(i(X_2072,X_2071),X_2070)))) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(X_2069,i(X_2071,X_2070)))),bind(B,$fot(i(i(i(X_2071,X_2072),X_2072),i(X_2069,i(i(X_2072,X_2071),X_2070)))))]]) ).
cnf(refute_0_117,plain,
( ~ p(i(i(i(X_468,X_469),X_469),i(i(X_468,X_467),i(i(X_469,X_468),X_467))))
| p(i(i(i(i(X_468,X_467),i(i(X_469,X_468),X_467)),C),i(i(i(X_468,X_469),X_469),C))) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(i(i(X_468,X_469),X_469))),bind(B,$fot(i(i(X_468,X_467),i(i(X_469,X_468),X_467))))]]) ).
cnf(refute_0_118,plain,
p(i(i(i(X_465,X_464),X_464),i(i(X_464,C),i(i(X_465,X_464),C)))),
inference(subst,[],[axBp:[bind(A,$fot(i(X_465,X_464))),bind(B,$fot(X_464))]]) ).
cnf(refute_0_119,plain,
( ~ p(i(i(i(X_465,X_464),X_464),i(i(X_464,C),i(i(X_465,X_464),C))))
| p(i(i(i(X_464,X_465),X_465),i(i(X_464,C),i(i(X_465,X_464),C)))) ),
inference(subst,[],[refute_0_28:[bind(X_66,$fot(X_464)),bind(X_67,$fot(X_465)),bind(X_68,$fot(i(i(X_464,C),i(i(X_465,X_464),C))))]]) ).
cnf(refute_0_120,plain,
p(i(i(i(X_464,X_465),X_465),i(i(X_464,C),i(i(X_465,X_464),C)))),
inference(resolve,[$cnf( p(i(i(i(X_465,X_464),X_464),i(i(X_464,C),i(i(X_465,X_464),C)))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
p(i(i(i(X_468,X_469),X_469),i(i(X_468,X_467),i(i(X_469,X_468),X_467)))),
inference(subst,[],[refute_0_120:[bind(C,$fot(X_467)),bind(X_464,$fot(X_468)),bind(X_465,$fot(X_469))]]) ).
cnf(refute_0_122,plain,
p(i(i(i(i(X_468,X_467),i(i(X_469,X_468),X_467)),C),i(i(i(X_468,X_469),X_469),C))),
inference(resolve,[$cnf( p(i(i(i(X_468,X_469),X_469),i(i(X_468,X_467),i(i(X_469,X_468),X_467)))) )],[refute_0_121,refute_0_117]) ).
cnf(refute_0_123,plain,
p(i(i(i(i(X_468,X_467),i(i(X_469,X_468),X_467)),i(X_2010,i(i(X_469,X_468),X_467))),i(i(i(X_468,X_469),X_469),i(X_2010,i(i(X_469,X_468),X_467))))),
inference(subst,[],[refute_0_122:[bind(C,$fot(i(X_2010,i(i(X_469,X_468),X_467))))]]) ).
cnf(refute_0_124,plain,
( ~ p(i(i(i(i(X_468,X_467),i(i(X_469,X_468),X_467)),i(X_2010,i(i(X_469,X_468),X_467))),i(i(i(X_468,X_469),X_469),i(X_2010,i(i(X_469,X_468),X_467)))))
| p(i(i(X_2010,i(X_468,X_467)),i(i(i(X_468,X_469),X_469),i(X_2010,i(i(X_469,X_468),X_467))))) ),
inference(subst,[],[refute_0_48:[bind(X_56,$fot(X_2010)),bind(X_57,$fot(i(X_468,X_467))),bind(X_58,$fot(i(i(X_469,X_468),X_467))),bind(X_59,$fot(i(i(i(X_468,X_469),X_469),i(X_2010,i(i(X_469,X_468),X_467)))))]]) ).
cnf(refute_0_125,plain,
p(i(i(X_2010,i(X_468,X_467)),i(i(i(X_468,X_469),X_469),i(X_2010,i(i(X_469,X_468),X_467))))),
inference(resolve,[$cnf( p(i(i(i(i(X_468,X_467),i(i(X_469,X_468),X_467)),i(X_2010,i(i(X_469,X_468),X_467))),i(i(i(X_468,X_469),X_469),i(X_2010,i(i(X_469,X_468),X_467))))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
p(i(i(X_2069,i(X_2071,X_2070)),i(i(i(X_2071,X_2072),X_2072),i(X_2069,i(i(X_2072,X_2071),X_2070))))),
inference(subst,[],[refute_0_125:[bind(X_2010,$fot(X_2069)),bind(X_467,$fot(X_2070)),bind(X_468,$fot(X_2071)),bind(X_469,$fot(X_2072))]]) ).
cnf(refute_0_127,plain,
( ~ p(i(X_2069,i(X_2071,X_2070)))
| p(i(i(i(X_2071,X_2072),X_2072),i(X_2069,i(i(X_2072,X_2071),X_2070)))) ),
inference(resolve,[$cnf( p(i(i(X_2069,i(X_2071,X_2070)),i(i(i(X_2071,X_2072),X_2072),i(X_2069,i(i(X_2072,X_2071),X_2070))))) )],[refute_0_126,refute_0_116]) ).
cnf(refute_0_128,plain,
( ~ p(i(X_36663,i(X_36664,X_36664)))
| p(i(i(i(X_36664,X_2072),X_2072),i(X_36663,i(i(X_2072,X_36664),X_36664)))) ),
inference(subst,[],[refute_0_127:[bind(X_2069,$fot(X_36663)),bind(X_2070,$fot(X_36664)),bind(X_2071,$fot(X_36664))]]) ).
cnf(refute_0_129,plain,
( ~ p(i(i(X_329,f(X_328,X_329)),X_327))
| ~ p(i(i(i(X_329,f(X_328,X_329)),X_327),i(X_328,X_327)))
| p(i(X_328,X_327)) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(i(X_329,f(X_328,X_329)),X_327))),bind(B,$fot(i(X_328,X_327)))]]) ).
cnf(refute_0_130,plain,
( ~ p(i(X_297,i(X_298,f(X_297,X_298))))
| p(i(i(i(X_298,f(X_297,X_298)),C),i(X_297,C))) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_297)),bind(B,$fot(i(X_298,f(X_297,X_298))))]]) ).
cnf(refute_0_131,plain,
( ~ p(i(f(A,B),f(A,B)))
| p(i(A,i(B,f(A,B)))) ),
inference(subst,[],[resid1:[bind(C,$fot(f(A,B)))]]) ).
cnf(refute_0_132,plain,
p(i(f(A,B),f(A,B))),
inference(subst,[],[refute_0_95:[bind(X_294,$fot(f(A,B)))]]) ).
cnf(refute_0_133,plain,
p(i(A,i(B,f(A,B)))),
inference(resolve,[$cnf( p(i(f(A,B),f(A,B))) )],[refute_0_132,refute_0_131]) ).
cnf(refute_0_134,plain,
p(i(X_297,i(X_298,f(X_297,X_298)))),
inference(subst,[],[refute_0_133:[bind(A,$fot(X_297)),bind(B,$fot(X_298))]]) ).
cnf(refute_0_135,plain,
p(i(i(i(X_298,f(X_297,X_298)),C),i(X_297,C))),
inference(resolve,[$cnf( p(i(X_297,i(X_298,f(X_297,X_298)))) )],[refute_0_134,refute_0_130]) ).
cnf(refute_0_136,plain,
p(i(i(i(X_329,f(X_328,X_329)),X_327),i(X_328,X_327))),
inference(subst,[],[refute_0_135:[bind(C,$fot(X_327)),bind(X_297,$fot(X_328)),bind(X_298,$fot(X_329))]]) ).
cnf(refute_0_137,plain,
( ~ p(i(i(X_329,f(X_328,X_329)),X_327))
| p(i(X_328,X_327)) ),
inference(resolve,[$cnf( p(i(i(i(X_329,f(X_328,X_329)),X_327),i(X_328,X_327))) )],[refute_0_136,refute_0_129]) ).
cnf(refute_0_138,plain,
( ~ p(i(i(X_36660,f(X_328,X_36660)),i(X_36660,X_36660)))
| p(i(X_328,i(X_36660,X_36660))) ),
inference(subst,[],[refute_0_137:[bind(X_327,$fot(i(X_36660,X_36660))),bind(X_329,$fot(X_36660))]]) ).
cnf(refute_0_139,plain,
( ~ p(i(X_36658,X_36658))
| ~ p(i(i(X_36658,X_36658),i(i(X_36658,X_36659),i(X_36658,X_36658))))
| p(i(i(X_36658,X_36659),i(X_36658,X_36658))) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(X_36658,X_36658))),bind(B,$fot(i(i(X_36658,X_36659),i(X_36658,X_36658))))]]) ).
cnf(refute_0_140,plain,
( ~ p(i(X_36658,X_36658))
| p(i(i(X_36658,X_36659),i(X_36658,X_36658))) ),
inference(resolve,[$cnf( p(i(i(X_36658,X_36658),i(i(X_36658,X_36659),i(X_36658,X_36658)))) )],[refute_0_108,refute_0_139]) ).
cnf(refute_0_141,plain,
p(i(X_36658,X_36658)),
inference(subst,[],[refute_0_95:[bind(X_294,$fot(X_36658))]]) ).
cnf(refute_0_142,plain,
p(i(i(X_36658,X_36659),i(X_36658,X_36658))),
inference(resolve,[$cnf( p(i(X_36658,X_36658)) )],[refute_0_141,refute_0_140]) ).
cnf(refute_0_143,plain,
p(i(i(X_36660,f(X_328,X_36660)),i(X_36660,X_36660))),
inference(subst,[],[refute_0_142:[bind(X_36658,$fot(X_36660)),bind(X_36659,$fot(f(X_328,X_36660)))]]) ).
cnf(refute_0_144,plain,
p(i(X_328,i(X_36660,X_36660))),
inference(resolve,[$cnf( p(i(i(X_36660,f(X_328,X_36660)),i(X_36660,X_36660))) )],[refute_0_143,refute_0_138]) ).
cnf(refute_0_145,plain,
p(i(X_36663,i(X_36664,X_36664))),
inference(subst,[],[refute_0_144:[bind(X_328,$fot(X_36663)),bind(X_36660,$fot(X_36664))]]) ).
cnf(refute_0_146,plain,
p(i(i(i(X_36664,X_2072),X_2072),i(X_36663,i(i(X_2072,X_36664),X_36664)))),
inference(resolve,[$cnf( p(i(X_36663,i(X_36664,X_36664))) )],[refute_0_145,refute_0_128]) ).
cnf(refute_0_147,plain,
p(i(i(i(X_36769,X_36769),X_36769),i(X_36769,i(i(X_36769,X_36769),X_36769)))),
inference(subst,[],[refute_0_146:[bind(X_2072,$fot(X_36769)),bind(X_36663,$fot(X_36769)),bind(X_36664,$fot(X_36769))]]) ).
cnf(refute_0_148,plain,
p(i(X_36769,i(i(X_36769,X_36769),X_36769))),
inference(resolve,[$cnf( p(i(i(i(X_36769,X_36769),X_36769),i(X_36769,i(i(X_36769,X_36769),X_36769)))) )],[refute_0_147,refute_0_115]) ).
cnf(refute_0_149,plain,
p(i(X_40467,i(i(X_40467,X_40467),X_40467))),
inference(subst,[],[refute_0_148:[bind(X_36769,$fot(X_40467))]]) ).
cnf(refute_0_150,plain,
( ~ p(i(X_40216,i(i(X_40213,X_40213),X_40215)))
| ~ p(i(i(X_40216,i(i(X_40213,X_40213),X_40215)),i(X_40216,i(X_40214,X_40215))))
| p(i(X_40216,i(X_40214,X_40215))) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(X_40216,i(i(X_40213,X_40213),X_40215)))),bind(B,$fot(i(X_40216,i(X_40214,X_40215))))]]) ).
cnf(refute_0_151,plain,
( ~ p(i(i(i(X_506,X_508),i(X_507,X_508)),i(X_507,X_508)))
| ~ p(i(i(i(i(X_506,X_508),i(X_507,X_508)),i(X_507,X_508)),i(i(X_506,X_507),i(X_506,X_508))))
| p(i(i(X_506,X_507),i(X_506,X_508))) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(i(i(X_506,X_508),i(X_507,X_508)),i(X_507,X_508)))),bind(B,$fot(i(i(X_506,X_507),i(X_506,X_508))))]]) ).
cnf(refute_0_152,plain,
p(i(i(i(i(B,C),i(A,C)),i(A,C)),i(i(A,B),i(A,C)))),
inference(subst,[],[refute_0_46:[bind(X_51,$fot(i(A,C)))]]) ).
cnf(refute_0_153,plain,
( ~ p(i(i(i(i(B,C),i(A,C)),i(A,C)),i(i(A,B),i(A,C))))
| p(i(i(i(i(A,C),i(B,C)),i(B,C)),i(i(A,B),i(A,C)))) ),
inference(subst,[],[refute_0_28:[bind(X_66,$fot(i(A,C))),bind(X_67,$fot(i(B,C))),bind(X_68,$fot(i(i(A,B),i(A,C))))]]) ).
cnf(refute_0_154,plain,
p(i(i(i(i(A,C),i(B,C)),i(B,C)),i(i(A,B),i(A,C)))),
inference(resolve,[$cnf( p(i(i(i(i(B,C),i(A,C)),i(A,C)),i(i(A,B),i(A,C)))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
p(i(i(i(i(X_506,X_508),i(X_507,X_508)),i(X_507,X_508)),i(i(X_506,X_507),i(X_506,X_508)))),
inference(subst,[],[refute_0_154:[bind(A,$fot(X_506)),bind(B,$fot(X_507)),bind(C,$fot(X_508))]]) ).
cnf(refute_0_156,plain,
( ~ p(i(i(i(X_506,X_508),i(X_507,X_508)),i(X_507,X_508)))
| p(i(i(X_506,X_507),i(X_506,X_508))) ),
inference(resolve,[$cnf( p(i(i(i(i(X_506,X_508),i(X_507,X_508)),i(X_507,X_508)),i(i(X_506,X_507),i(X_506,X_508)))) )],[refute_0_155,refute_0_151]) ).
cnf(refute_0_157,plain,
( ~ p(i(i(i(X_506,i(X_40206,X_40207)),i(i(i(X_40205,X_40205),X_40207),i(X_40206,X_40207))),i(i(i(X_40205,X_40205),X_40207),i(X_40206,X_40207))))
| p(i(i(X_506,i(i(X_40205,X_40205),X_40207)),i(X_506,i(X_40206,X_40207)))) ),
inference(subst,[],[refute_0_156:[bind(X_507,$fot(i(i(X_40205,X_40205),X_40207))),bind(X_508,$fot(i(X_40206,X_40207)))]]) ).
cnf(refute_0_158,plain,
( ~ p(i(f(A,B),i(X_36698,i(X_36699,X_36699))))
| p(i(A,i(B,i(X_36698,i(X_36699,X_36699))))) ),
inference(subst,[],[resid1:[bind(C,$fot(i(X_36698,i(X_36699,X_36699))))]]) ).
cnf(refute_0_159,plain,
( ~ p(i(f(A,B),i(X_36664,X_36664)))
| p(i(A,i(B,i(X_36664,X_36664)))) ),
inference(subst,[],[resid1:[bind(C,$fot(i(X_36664,X_36664)))]]) ).
cnf(refute_0_160,plain,
p(i(f(A,B),i(X_36664,X_36664))),
inference(subst,[],[refute_0_144:[bind(X_328,$fot(f(A,B))),bind(X_36660,$fot(X_36664))]]) ).
cnf(refute_0_161,plain,
p(i(A,i(B,i(X_36664,X_36664)))),
inference(resolve,[$cnf( p(i(f(A,B),i(X_36664,X_36664))) )],[refute_0_160,refute_0_159]) ).
cnf(refute_0_162,plain,
p(i(f(A,B),i(X_36698,i(X_36699,X_36699)))),
inference(subst,[],[refute_0_161:[bind(A,$fot(f(A,B))),bind(B,$fot(X_36698)),bind(X_36664,$fot(X_36699))]]) ).
cnf(refute_0_163,plain,
p(i(A,i(B,i(X_36698,i(X_36699,X_36699))))),
inference(resolve,[$cnf( p(i(f(A,B),i(X_36698,i(X_36699,X_36699)))) )],[refute_0_162,refute_0_158]) ).
cnf(refute_0_164,plain,
p(i(i(i(X_40201,i(X_36699,X_36699)),X_40204),i(X_40204,i(X_40201,i(X_36699,X_36699))))),
inference(subst,[],[refute_0_163:[bind(A,$fot(i(i(X_40201,i(X_36699,X_36699)),X_40204))),bind(B,$fot(X_40204)),bind(X_36698,$fot(X_40201))]]) ).
cnf(refute_0_165,plain,
( ~ p(i(i(i(X_10161,X_10162),X_10164),i(X_10164,i(X_10161,X_10162))))
| ~ p(i(i(i(i(X_10161,X_10162),X_10164),i(X_10164,i(X_10161,X_10162))),i(X_10164,i(i(X_10162,X_10163),i(X_10161,X_10163)))))
| p(i(X_10164,i(i(X_10162,X_10163),i(X_10161,X_10163)))) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(i(i(X_10161,X_10162),X_10164),i(X_10164,i(X_10161,X_10162))))),bind(B,$fot(i(X_10164,i(i(X_10162,X_10163),i(X_10161,X_10163)))))]]) ).
cnf(refute_0_166,plain,
( ~ p(i(f(i(i(i(X_216,X_217),X_219),i(X_219,i(X_216,X_217))),X_219),i(i(X_217,X_218),i(X_216,X_218))))
| p(i(i(i(i(X_216,X_217),X_219),i(X_219,i(X_216,X_217))),i(X_219,i(i(X_217,X_218),i(X_216,X_218))))) ),
inference(subst,[],[resid1:[bind(A,$fot(i(i(i(X_216,X_217),X_219),i(X_219,i(X_216,X_217))))),bind(B,$fot(X_219)),bind(C,$fot(i(i(X_217,X_218),i(X_216,X_218))))]]) ).
cnf(refute_0_167,plain,
( ~ p(i(X_80,X_81))
| ~ p(i(i(X_80,X_81),i(f(i(i(X_80,X_79),i(X_79,X_80)),X_79),X_81)))
| p(i(f(i(i(X_80,X_79),i(X_79,X_80)),X_79),X_81)) ),
inference(subst,[],[modus_ponens:[bind(A,$fot(i(X_80,X_81))),bind(B,$fot(i(f(i(i(X_80,X_79),i(X_79,X_80)),X_79),X_81)))]]) ).
cnf(refute_0_168,plain,
p(i(i(i(X_11,X_10),i(X_10,X_11)),i(X_10,X_11))),
inference(subst,[],[axTO:[bind(X,$fot(X_11)),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_169,plain,
( ~ p(i(i(i(X_11,X_10),i(X_10,X_11)),i(X_10,X_11)))
| p(i(f(i(i(X_11,X_10),i(X_10,X_11)),X_10),X_11)) ),
inference(subst,[],[resid2:[bind(A,$fot(i(i(X_11,X_10),i(X_10,X_11)))),bind(B,$fot(X_10)),bind(C,$fot(X_11))]]) ).
cnf(refute_0_170,plain,
p(i(f(i(i(X_11,X_10),i(X_10,X_11)),X_10),X_11)),
inference(resolve,[$cnf( p(i(i(i(X_11,X_10),i(X_10,X_11)),i(X_10,X_11))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
p(i(f(i(i(X_50,X_10),i(X_10,X_50)),X_10),X_50)),
inference(subst,[],[refute_0_170:[bind(X_11,$fot(X_50))]]) ).
cnf(refute_0_172,plain,
( ~ p(i(f(i(i(X_50,X_10),i(X_10,X_50)),X_10),X_50))
| p(i(i(X_50,X_51),i(f(i(i(X_50,X_10),i(X_10,X_50)),X_10),X_51))) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(f(i(i(X_50,X_10),i(X_10,X_50)),X_10))),bind(B,$fot(X_50)),bind(C,$fot(X_51))]]) ).
cnf(refute_0_173,plain,
p(i(i(X_50,X_51),i(f(i(i(X_50,X_10),i(X_10,X_50)),X_10),X_51))),
inference(resolve,[$cnf( p(i(f(i(i(X_50,X_10),i(X_10,X_50)),X_10),X_50)) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
p(i(i(X_80,X_81),i(f(i(i(X_80,X_79),i(X_79,X_80)),X_79),X_81))),
inference(subst,[],[refute_0_173:[bind(X_10,$fot(X_79)),bind(X_50,$fot(X_80)),bind(X_51,$fot(X_81))]]) ).
cnf(refute_0_175,plain,
( ~ p(i(X_80,X_81))
| p(i(f(i(i(X_80,X_79),i(X_79,X_80)),X_79),X_81)) ),
inference(resolve,[$cnf( p(i(i(X_80,X_81),i(f(i(i(X_80,X_79),i(X_79,X_80)),X_79),X_81))) )],[refute_0_174,refute_0_167]) ).
cnf(refute_0_176,plain,
( ~ p(i(i(A,B),i(i(B,C),i(A,C))))
| p(i(f(i(i(i(A,B),X_213),i(X_213,i(A,B))),X_213),i(i(B,C),i(A,C)))) ),
inference(subst,[],[refute_0_175:[bind(X_79,$fot(X_213)),bind(X_80,$fot(i(A,B))),bind(X_81,$fot(i(i(B,C),i(A,C))))]]) ).
cnf(refute_0_177,plain,
p(i(f(i(i(i(A,B),X_213),i(X_213,i(A,B))),X_213),i(i(B,C),i(A,C)))),
inference(resolve,[$cnf( p(i(i(A,B),i(i(B,C),i(A,C)))) )],[axBp,refute_0_176]) ).
cnf(refute_0_178,plain,
p(i(f(i(i(i(X_216,X_217),X_219),i(X_219,i(X_216,X_217))),X_219),i(i(X_217,X_218),i(X_216,X_218)))),
inference(subst,[],[refute_0_177:[bind(A,$fot(X_216)),bind(B,$fot(X_217)),bind(C,$fot(X_218)),bind(X_213,$fot(X_219))]]) ).
cnf(refute_0_179,plain,
p(i(i(i(i(X_216,X_217),X_219),i(X_219,i(X_216,X_217))),i(X_219,i(i(X_217,X_218),i(X_216,X_218))))),
inference(resolve,[$cnf( p(i(f(i(i(i(X_216,X_217),X_219),i(X_219,i(X_216,X_217))),X_219),i(i(X_217,X_218),i(X_216,X_218)))) )],[refute_0_178,refute_0_166]) ).
cnf(refute_0_180,plain,
p(i(i(i(i(X_10161,X_10162),X_10164),i(X_10164,i(X_10161,X_10162))),i(X_10164,i(i(X_10162,X_10163),i(X_10161,X_10163))))),
inference(subst,[],[refute_0_179:[bind(X_216,$fot(X_10161)),bind(X_217,$fot(X_10162)),bind(X_218,$fot(X_10163)),bind(X_219,$fot(X_10164))]]) ).
cnf(refute_0_181,plain,
( ~ p(i(i(i(X_10161,X_10162),X_10164),i(X_10164,i(X_10161,X_10162))))
| p(i(X_10164,i(i(X_10162,X_10163),i(X_10161,X_10163)))) ),
inference(resolve,[$cnf( p(i(i(i(i(X_10161,X_10162),X_10164),i(X_10164,i(X_10161,X_10162))),i(X_10164,i(i(X_10162,X_10163),i(X_10161,X_10163))))) )],[refute_0_180,refute_0_165]) ).
cnf(refute_0_182,plain,
( ~ p(i(i(i(X_40201,i(X_36699,X_36699)),X_40204),i(X_40204,i(X_40201,i(X_36699,X_36699)))))
| p(i(X_40204,i(i(i(X_36699,X_36699),X_40203),i(X_40201,X_40203)))) ),
inference(subst,[],[refute_0_181:[bind(X_10161,$fot(X_40201)),bind(X_10162,$fot(i(X_36699,X_36699))),bind(X_10163,$fot(X_40203)),bind(X_10164,$fot(X_40204))]]) ).
cnf(refute_0_183,plain,
p(i(X_40204,i(i(i(X_36699,X_36699),X_40203),i(X_40201,X_40203)))),
inference(resolve,[$cnf( p(i(i(i(X_40201,i(X_36699,X_36699)),X_40204),i(X_40204,i(X_40201,i(X_36699,X_36699))))) )],[refute_0_164,refute_0_182]) ).
cnf(refute_0_184,plain,
p(i(i(i(X_506,i(X_40206,X_40207)),i(i(i(X_40205,X_40205),X_40207),i(X_40206,X_40207))),i(i(i(X_40205,X_40205),X_40207),i(X_40206,X_40207)))),
inference(subst,[],[refute_0_183:[bind(X_36699,$fot(X_40205)),bind(X_40201,$fot(X_40206)),bind(X_40203,$fot(X_40207)),bind(X_40204,$fot(i(i(X_506,i(X_40206,X_40207)),i(i(i(X_40205,X_40205),X_40207),i(X_40206,X_40207)))))]]) ).
cnf(refute_0_185,plain,
p(i(i(X_506,i(i(X_40205,X_40205),X_40207)),i(X_506,i(X_40206,X_40207)))),
inference(resolve,[$cnf( p(i(i(i(X_506,i(X_40206,X_40207)),i(i(i(X_40205,X_40205),X_40207),i(X_40206,X_40207))),i(i(i(X_40205,X_40205),X_40207),i(X_40206,X_40207)))) )],[refute_0_184,refute_0_157]) ).
cnf(refute_0_186,plain,
p(i(i(X_40216,i(i(X_40213,X_40213),X_40215)),i(X_40216,i(X_40214,X_40215)))),
inference(subst,[],[refute_0_185:[bind(X_40205,$fot(X_40213)),bind(X_40206,$fot(X_40214)),bind(X_40207,$fot(X_40215)),bind(X_506,$fot(X_40216))]]) ).
cnf(refute_0_187,plain,
( ~ p(i(X_40216,i(i(X_40213,X_40213),X_40215)))
| p(i(X_40216,i(X_40214,X_40215))) ),
inference(resolve,[$cnf( p(i(i(X_40216,i(i(X_40213,X_40213),X_40215)),i(X_40216,i(X_40214,X_40215)))) )],[refute_0_186,refute_0_150]) ).
cnf(refute_0_188,plain,
( ~ p(i(X_40467,i(i(X_40467,X_40467),X_40467)))
| p(i(X_40467,i(X_40466,X_40467))) ),
inference(subst,[],[refute_0_187:[bind(X_40213,$fot(X_40467)),bind(X_40214,$fot(X_40466)),bind(X_40215,$fot(X_40467)),bind(X_40216,$fot(X_40467))]]) ).
cnf(refute_0_189,plain,
p(i(X_40467,i(X_40466,X_40467))),
inference(resolve,[$cnf( p(i(X_40467,i(i(X_40467,X_40467),X_40467))) )],[refute_0_149,refute_0_188]) ).
cnf(refute_0_190,plain,
p(i(c1,i(c2,c1))),
inference(subst,[],[refute_0_189:[bind(X_40466,$fot(c2)),bind(X_40467,$fot(c1))]]) ).
cnf(refute_0_191,plain,
$false,
inference(resolve,[$cnf( p(i(c1,i(c2,c1))) )],[refute_0_190,refute_0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL927-1 : TPTP v8.1.0. Released v6.4.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.33 % Computer : n003.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Mon Jul 4 17:49:40 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 64.98/65.14 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 64.98/65.14
% 64.98/65.14 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 64.98/65.17
%------------------------------------------------------------------------------