TSTP Solution File: LCL211-3 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL211-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 12:50:40 EDT 2022
% Result : Unsatisfiable 55.49s 55.73s
% Output : CNFRefutation 55.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 28
% Syntax : Number of clauses : 143 ( 77 unt; 0 nHn; 64 RR)
% Number of literals : 232 ( 75 equ; 90 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 336 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1_3,axiom,
axiom(implies(A,or(B,A))) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(A,B),or(B,A))) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ).
cnf(implies_definition,axiom,
implies(X,Y) = or(not(X),Y) ).
cnf(rule_1,axiom,
( theorem(X)
| ~ axiom(X) ) ).
cnf(rule_2,axiom,
( theorem(X)
| ~ theorem(implies(Y,X))
| ~ theorem(Y) ) ).
cnf(prove_this,negated_conjecture,
~ theorem(implies(not(q),implies(or(p,q),p))) ).
cnf(refute_0_0,plain,
( ~ axiom(implies(or(X_5,X_6),or(X_6,X_5)))
| theorem(implies(or(X_5,X_6),or(X_6,X_5))) ),
inference(subst,[],[rule_1:[bind(X,$fot(implies(or(X_5,X_6),or(X_6,X_5))))]]) ).
cnf(refute_0_1,plain,
axiom(implies(or(X_5,X_6),or(X_6,X_5))),
inference(subst,[],[axiom_1_4:[bind(A,$fot(X_5)),bind(B,$fot(X_6))]]) ).
cnf(refute_0_2,plain,
theorem(implies(or(X_5,X_6),or(X_6,X_5))),
inference(resolve,[$cnf( axiom(implies(or(X_5,X_6),or(X_6,X_5))) )],[refute_0_1,refute_0_0]) ).
cnf(refute_0_3,plain,
( ~ theorem(implies(or(X_5,X_6),or(X_6,X_5)))
| ~ theorem(or(X_5,X_6))
| theorem(or(X_6,X_5)) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(X_6,X_5))),bind(Y,$fot(or(X_5,X_6)))]]) ).
cnf(refute_0_4,plain,
( ~ theorem(or(X_5,X_6))
| theorem(or(X_6,X_5)) ),
inference(resolve,[$cnf( theorem(implies(or(X_5,X_6),or(X_6,X_5))) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ theorem(or(implies(or(X_43202,X_43201),X_43202),not(not(X_43201))))
| theorem(or(not(not(X_43201)),implies(or(X_43202,X_43201),X_43202))) ),
inference(subst,[],[refute_0_4:[bind(X_5,$fot(implies(or(X_43202,X_43201),X_43202))),bind(X_6,$fot(not(not(X_43201))))]]) ).
cnf(refute_0_6,plain,
( ~ theorem(or(X_901,implies(or(X_902,X_901),X_902)))
| theorem(or(implies(or(X_902,X_901),X_902),X_901)) ),
inference(subst,[],[refute_0_4:[bind(X_5,$fot(X_901)),bind(X_6,$fot(implies(or(X_902,X_901),X_902)))]]) ).
cnf(refute_0_7,plain,
theorem(implies(or(X_900,X_899),or(X_899,X_900))),
inference(subst,[],[refute_0_2:[bind(X_5,$fot(X_900)),bind(X_6,$fot(X_899))]]) ).
cnf(refute_0_8,plain,
( ~ theorem(implies(X_75,or(X_76,X_77)))
| ~ theorem(implies(implies(X_75,or(X_76,X_77)),or(X_76,implies(X_75,X_77))))
| theorem(or(X_76,implies(X_75,X_77))) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(X_76,implies(X_75,X_77)))),bind(Y,$fot(implies(X_75,or(X_76,X_77))))]]) ).
cnf(refute_0_9,plain,
( ~ axiom(implies(implies(X_43,or(X_44,X_45)),or(X_44,implies(X_43,X_45))))
| theorem(implies(implies(X_43,or(X_44,X_45)),or(X_44,implies(X_43,X_45)))) ),
inference(subst,[],[rule_1:[bind(X,$fot(implies(implies(X_43,or(X_44,X_45)),or(X_44,implies(X_43,X_45)))))]]) ).
cnf(refute_0_10,plain,
axiom(implies(or(not(X),or(X_30,X_31)),or(X_30,or(not(X),X_31)))),
inference(subst,[],[axiom_1_5:[bind(A,$fot(not(X))),bind(B,$fot(X_30)),bind(C,$fot(X_31))]]) ).
cnf(refute_0_11,plain,
implies(X,X_31) = or(not(X),X_31),
inference(subst,[],[implies_definition:[bind(Y,$fot(X_31))]]) ).
cnf(refute_0_12,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_13,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_14,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( implies(X,X_31) != or(not(X),X_31)
| or(not(X),X_31) = implies(X,X_31) ),
inference(subst,[],[refute_0_14:[bind(X0,$fot(implies(X,X_31))),bind(Y0,$fot(or(not(X),X_31)))]]) ).
cnf(refute_0_16,plain,
or(not(X),X_31) = implies(X,X_31),
inference(resolve,[$cnf( $equal(implies(X,X_31),or(not(X),X_31)) )],[refute_0_11,refute_0_15]) ).
cnf(refute_0_17,plain,
( or(not(X),X_31) != implies(X,X_31)
| ~ axiom(implies(or(not(X),or(X_30,X_31)),or(X_30,or(not(X),X_31))))
| axiom(implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31)))) ),
introduced(tautology,[equality,[$cnf( axiom(implies(or(not(X),or(X_30,X_31)),or(X_30,or(not(X),X_31)))) ),[0,1,1],$fot(implies(X,X_31))]]) ).
cnf(refute_0_18,plain,
( ~ axiom(implies(or(not(X),or(X_30,X_31)),or(X_30,or(not(X),X_31))))
| axiom(implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31)))) ),
inference(resolve,[$cnf( $equal(or(not(X),X_31),implies(X,X_31)) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
axiom(implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31)))),
inference(resolve,[$cnf( axiom(implies(or(not(X),or(X_30,X_31)),or(X_30,or(not(X),X_31)))) )],[refute_0_10,refute_0_18]) ).
cnf(refute_0_20,plain,
( implies(X,Y) != or(not(X),Y)
| or(not(X),Y) = implies(X,Y) ),
inference(subst,[],[refute_0_14:[bind(X0,$fot(implies(X,Y))),bind(Y0,$fot(or(not(X),Y)))]]) ).
cnf(refute_0_21,plain,
or(not(X),Y) = implies(X,Y),
inference(resolve,[$cnf( $equal(implies(X,Y),or(not(X),Y)) )],[implies_definition,refute_0_20]) ).
cnf(refute_0_22,plain,
or(not(X),or(X_30,X_31)) = implies(X,or(X_30,X_31)),
inference(subst,[],[refute_0_21:[bind(Y,$fot(or(X_30,X_31)))]]) ).
cnf(refute_0_23,plain,
implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31))) = implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31))),
introduced(tautology,[refl,[$fot(implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31))))]]) ).
cnf(refute_0_24,plain,
( implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31))) != implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31)))
| or(not(X),or(X_30,X_31)) != implies(X,or(X_30,X_31))
| implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31))) = implies(implies(X,or(X_30,X_31)),or(X_30,implies(X,X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31))),implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31)))) ),[1,0],$fot(implies(X,or(X_30,X_31)))]]) ).
cnf(refute_0_25,plain,
( or(not(X),or(X_30,X_31)) != implies(X,or(X_30,X_31))
| implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31))) = implies(implies(X,or(X_30,X_31)),or(X_30,implies(X,X_31))) ),
inference(resolve,[$cnf( $equal(implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31))),implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31)))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31))) = implies(implies(X,or(X_30,X_31)),or(X_30,implies(X,X_31))),
inference(resolve,[$cnf( $equal(or(not(X),or(X_30,X_31)),implies(X,or(X_30,X_31))) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
( implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31))) != implies(implies(X,or(X_30,X_31)),or(X_30,implies(X,X_31)))
| ~ axiom(implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31))))
| axiom(implies(implies(X,or(X_30,X_31)),or(X_30,implies(X,X_31)))) ),
introduced(tautology,[equality,[$cnf( axiom(implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31)))) ),[0],$fot(implies(implies(X,or(X_30,X_31)),or(X_30,implies(X,X_31))))]]) ).
cnf(refute_0_28,plain,
( ~ axiom(implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31))))
| axiom(implies(implies(X,or(X_30,X_31)),or(X_30,implies(X,X_31)))) ),
inference(resolve,[$cnf( $equal(implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31))),implies(implies(X,or(X_30,X_31)),or(X_30,implies(X,X_31)))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
axiom(implies(implies(X,or(X_30,X_31)),or(X_30,implies(X,X_31)))),
inference(resolve,[$cnf( axiom(implies(or(not(X),or(X_30,X_31)),or(X_30,implies(X,X_31)))) )],[refute_0_19,refute_0_28]) ).
cnf(refute_0_30,plain,
axiom(implies(implies(X_43,or(X_44,X_45)),or(X_44,implies(X_43,X_45)))),
inference(subst,[],[refute_0_29:[bind(X,$fot(X_43)),bind(X_30,$fot(X_44)),bind(X_31,$fot(X_45))]]) ).
cnf(refute_0_31,plain,
theorem(implies(implies(X_43,or(X_44,X_45)),or(X_44,implies(X_43,X_45)))),
inference(resolve,[$cnf( axiom(implies(implies(X_43,or(X_44,X_45)),or(X_44,implies(X_43,X_45)))) )],[refute_0_30,refute_0_9]) ).
cnf(refute_0_32,plain,
theorem(implies(implies(X_75,or(X_76,X_77)),or(X_76,implies(X_75,X_77)))),
inference(subst,[],[refute_0_31:[bind(X_43,$fot(X_75)),bind(X_44,$fot(X_76)),bind(X_45,$fot(X_77))]]) ).
cnf(refute_0_33,plain,
( ~ theorem(implies(X_75,or(X_76,X_77)))
| theorem(or(X_76,implies(X_75,X_77))) ),
inference(resolve,[$cnf( theorem(implies(implies(X_75,or(X_76,X_77)),or(X_76,implies(X_75,X_77)))) )],[refute_0_32,refute_0_8]) ).
cnf(refute_0_34,plain,
( ~ theorem(implies(or(X_900,X_899),or(X_899,X_900)))
| theorem(or(X_899,implies(or(X_900,X_899),X_900))) ),
inference(subst,[],[refute_0_33:[bind(X_75,$fot(or(X_900,X_899))),bind(X_76,$fot(X_899)),bind(X_77,$fot(X_900))]]) ).
cnf(refute_0_35,plain,
theorem(or(X_899,implies(or(X_900,X_899),X_900))),
inference(resolve,[$cnf( theorem(implies(or(X_900,X_899),or(X_899,X_900))) )],[refute_0_7,refute_0_34]) ).
cnf(refute_0_36,plain,
theorem(or(X_901,implies(or(X_902,X_901),X_902))),
inference(subst,[],[refute_0_35:[bind(X_899,$fot(X_901)),bind(X_900,$fot(X_902))]]) ).
cnf(refute_0_37,plain,
theorem(or(implies(or(X_902,X_901),X_902),X_901)),
inference(resolve,[$cnf( theorem(or(X_901,implies(or(X_902,X_901),X_902))) )],[refute_0_36,refute_0_6]) ).
cnf(refute_0_38,plain,
theorem(or(implies(or(X_902,X_42824),X_902),X_42824)),
inference(subst,[],[refute_0_37:[bind(X_901,$fot(X_42824))]]) ).
cnf(refute_0_39,plain,
( ~ theorem(implies(or(X_3056,X_3055),or(X_3056,not(not(X_3055)))))
| ~ theorem(or(X_3056,X_3055))
| theorem(or(X_3056,not(not(X_3055)))) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(X_3056,not(not(X_3055))))),bind(Y,$fot(or(X_3056,X_3055)))]]) ).
cnf(refute_0_40,plain,
theorem(implies(or(not(X),X_19),or(X_19,not(X)))),
inference(subst,[],[refute_0_2:[bind(X_5,$fot(not(X))),bind(X_6,$fot(X_19))]]) ).
cnf(refute_0_41,plain,
implies(X,X_19) = or(not(X),X_19),
inference(subst,[],[implies_definition:[bind(Y,$fot(X_19))]]) ).
cnf(refute_0_42,plain,
( implies(X,X_19) != or(not(X),X_19)
| or(not(X),X_19) = implies(X,X_19) ),
inference(subst,[],[refute_0_14:[bind(X0,$fot(implies(X,X_19))),bind(Y0,$fot(or(not(X),X_19)))]]) ).
cnf(refute_0_43,plain,
or(not(X),X_19) = implies(X,X_19),
inference(resolve,[$cnf( $equal(implies(X,X_19),or(not(X),X_19)) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( or(not(X),X_19) != implies(X,X_19)
| ~ theorem(implies(or(not(X),X_19),or(X_19,not(X))))
| theorem(implies(implies(X,X_19),or(X_19,not(X)))) ),
introduced(tautology,[equality,[$cnf( theorem(implies(or(not(X),X_19),or(X_19,not(X)))) ),[0,0],$fot(implies(X,X_19))]]) ).
cnf(refute_0_45,plain,
( ~ theorem(implies(or(not(X),X_19),or(X_19,not(X))))
| theorem(implies(implies(X,X_19),or(X_19,not(X)))) ),
inference(resolve,[$cnf( $equal(or(not(X),X_19),implies(X,X_19)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
theorem(implies(implies(X,X_19),or(X_19,not(X)))),
inference(resolve,[$cnf( theorem(implies(or(not(X),X_19),or(X_19,not(X)))) )],[refute_0_40,refute_0_45]) ).
cnf(refute_0_47,plain,
theorem(implies(implies(X_21,not(X)),or(not(X),not(X_21)))),
inference(subst,[],[refute_0_46:[bind(X,$fot(X_21)),bind(X_19,$fot(not(X)))]]) ).
cnf(refute_0_48,plain,
implies(X,not(X_21)) = or(not(X),not(X_21)),
inference(subst,[],[implies_definition:[bind(Y,$fot(not(X_21)))]]) ).
cnf(refute_0_49,plain,
( implies(X,not(X_21)) != or(not(X),not(X_21))
| or(not(X),not(X_21)) = implies(X,not(X_21)) ),
inference(subst,[],[refute_0_14:[bind(X0,$fot(implies(X,not(X_21)))),bind(Y0,$fot(or(not(X),not(X_21))))]]) ).
cnf(refute_0_50,plain,
or(not(X),not(X_21)) = implies(X,not(X_21)),
inference(resolve,[$cnf( $equal(implies(X,not(X_21)),or(not(X),not(X_21))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( or(not(X),not(X_21)) != implies(X,not(X_21))
| ~ theorem(implies(implies(X_21,not(X)),or(not(X),not(X_21))))
| theorem(implies(implies(X_21,not(X)),implies(X,not(X_21)))) ),
introduced(tautology,[equality,[$cnf( theorem(implies(implies(X_21,not(X)),or(not(X),not(X_21)))) ),[0,1],$fot(implies(X,not(X_21)))]]) ).
cnf(refute_0_52,plain,
( ~ theorem(implies(implies(X_21,not(X)),or(not(X),not(X_21))))
| theorem(implies(implies(X_21,not(X)),implies(X,not(X_21)))) ),
inference(resolve,[$cnf( $equal(or(not(X),not(X_21)),implies(X,not(X_21))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
theorem(implies(implies(X_21,not(X)),implies(X,not(X_21)))),
inference(resolve,[$cnf( theorem(implies(implies(X_21,not(X)),or(not(X),not(X_21)))) )],[refute_0_47,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ theorem(implies(X_21,not(X)))
| ~ theorem(implies(implies(X_21,not(X)),implies(X,not(X_21))))
| theorem(implies(X,not(X_21))) ),
inference(subst,[],[rule_2:[bind(X,$fot(implies(X,not(X_21)))),bind(Y,$fot(implies(X_21,not(X))))]]) ).
cnf(refute_0_55,plain,
( ~ theorem(implies(X_21,not(X)))
| theorem(implies(X,not(X_21))) ),
inference(resolve,[$cnf( theorem(implies(implies(X_21,not(X)),implies(X,not(X_21)))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ theorem(implies(not(X),not(X)))
| theorem(implies(X,not(not(X)))) ),
inference(subst,[],[refute_0_55:[bind(X_21,$fot(not(X)))]]) ).
cnf(refute_0_57,plain,
( ~ axiom(implies(implies(X_59,implies(X_60,X_61)),implies(X_60,implies(X_59,X_61))))
| theorem(implies(implies(X_59,implies(X_60,X_61)),implies(X_60,implies(X_59,X_61)))) ),
inference(subst,[],[rule_1:[bind(X,$fot(implies(implies(X_59,implies(X_60,X_61)),implies(X_60,implies(X_59,X_61)))))]]) ).
cnf(refute_0_58,plain,
axiom(implies(or(X_29,or(not(X),X_31)),or(not(X),or(X_29,X_31)))),
inference(subst,[],[axiom_1_5:[bind(A,$fot(X_29)),bind(B,$fot(not(X))),bind(C,$fot(X_31))]]) ).
cnf(refute_0_59,plain,
implies(X,or(X_29,X_31)) = or(not(X),or(X_29,X_31)),
inference(subst,[],[implies_definition:[bind(Y,$fot(or(X_29,X_31)))]]) ).
cnf(refute_0_60,plain,
( implies(X,or(X_29,X_31)) != or(not(X),or(X_29,X_31))
| or(not(X),or(X_29,X_31)) = implies(X,or(X_29,X_31)) ),
inference(subst,[],[refute_0_14:[bind(X0,$fot(implies(X,or(X_29,X_31)))),bind(Y0,$fot(or(not(X),or(X_29,X_31))))]]) ).
cnf(refute_0_61,plain,
or(not(X),or(X_29,X_31)) = implies(X,or(X_29,X_31)),
inference(resolve,[$cnf( $equal(implies(X,or(X_29,X_31)),or(not(X),or(X_29,X_31))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
( or(not(X),or(X_29,X_31)) != implies(X,or(X_29,X_31))
| ~ axiom(implies(or(X_29,or(not(X),X_31)),or(not(X),or(X_29,X_31))))
| axiom(implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31)))) ),
introduced(tautology,[equality,[$cnf( axiom(implies(or(X_29,or(not(X),X_31)),or(not(X),or(X_29,X_31)))) ),[0,1],$fot(implies(X,or(X_29,X_31)))]]) ).
cnf(refute_0_63,plain,
( ~ axiom(implies(or(X_29,or(not(X),X_31)),or(not(X),or(X_29,X_31))))
| axiom(implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31)))) ),
inference(resolve,[$cnf( $equal(or(not(X),or(X_29,X_31)),implies(X,or(X_29,X_31))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
axiom(implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31)))),
inference(resolve,[$cnf( axiom(implies(or(X_29,or(not(X),X_31)),or(not(X),or(X_29,X_31)))) )],[refute_0_58,refute_0_63]) ).
cnf(refute_0_65,plain,
or(X_29,or(not(X),X_31)) = or(X_29,or(not(X),X_31)),
introduced(tautology,[refl,[$fot(or(X_29,or(not(X),X_31)))]]) ).
cnf(refute_0_66,plain,
( or(X_29,or(not(X),X_31)) != or(X_29,or(not(X),X_31))
| or(not(X),X_31) != implies(X,X_31)
| or(X_29,or(not(X),X_31)) = or(X_29,implies(X,X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(or(X_29,or(not(X),X_31)),or(X_29,or(not(X),X_31))) ),[1,1],$fot(implies(X,X_31))]]) ).
cnf(refute_0_67,plain,
( or(not(X),X_31) != implies(X,X_31)
| or(X_29,or(not(X),X_31)) = or(X_29,implies(X,X_31)) ),
inference(resolve,[$cnf( $equal(or(X_29,or(not(X),X_31)),or(X_29,or(not(X),X_31))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
or(X_29,or(not(X),X_31)) = or(X_29,implies(X,X_31)),
inference(resolve,[$cnf( $equal(or(not(X),X_31),implies(X,X_31)) )],[refute_0_16,refute_0_67]) ).
cnf(refute_0_69,plain,
implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31))) = implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31))),
introduced(tautology,[refl,[$fot(implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31))))]]) ).
cnf(refute_0_70,plain,
( implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31))) != implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31)))
| or(X_29,or(not(X),X_31)) != or(X_29,implies(X,X_31))
| implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31))) = implies(or(X_29,implies(X,X_31)),implies(X,or(X_29,X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31))),implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31)))) ),[1,0],$fot(or(X_29,implies(X,X_31)))]]) ).
cnf(refute_0_71,plain,
( or(X_29,or(not(X),X_31)) != or(X_29,implies(X,X_31))
| implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31))) = implies(or(X_29,implies(X,X_31)),implies(X,or(X_29,X_31))) ),
inference(resolve,[$cnf( $equal(implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31))),implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31)))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31))) = implies(or(X_29,implies(X,X_31)),implies(X,or(X_29,X_31))),
inference(resolve,[$cnf( $equal(or(X_29,or(not(X),X_31)),or(X_29,implies(X,X_31))) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
( implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31))) != implies(or(X_29,implies(X,X_31)),implies(X,or(X_29,X_31)))
| ~ axiom(implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31))))
| axiom(implies(or(X_29,implies(X,X_31)),implies(X,or(X_29,X_31)))) ),
introduced(tautology,[equality,[$cnf( axiom(implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31)))) ),[0],$fot(implies(or(X_29,implies(X,X_31)),implies(X,or(X_29,X_31))))]]) ).
cnf(refute_0_74,plain,
( ~ axiom(implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31))))
| axiom(implies(or(X_29,implies(X,X_31)),implies(X,or(X_29,X_31)))) ),
inference(resolve,[$cnf( $equal(implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31))),implies(or(X_29,implies(X,X_31)),implies(X,or(X_29,X_31)))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
axiom(implies(or(X_29,implies(X,X_31)),implies(X,or(X_29,X_31)))),
inference(resolve,[$cnf( axiom(implies(or(X_29,or(not(X),X_31)),implies(X,or(X_29,X_31)))) )],[refute_0_64,refute_0_74]) ).
cnf(refute_0_76,plain,
axiom(implies(or(not(X),implies(X_56,X_58)),implies(X_56,or(not(X),X_58)))),
inference(subst,[],[refute_0_75:[bind(X,$fot(X_56)),bind(X_29,$fot(not(X))),bind(X_31,$fot(X_58))]]) ).
cnf(refute_0_77,plain,
implies(X,X_58) = or(not(X),X_58),
inference(subst,[],[implies_definition:[bind(Y,$fot(X_58))]]) ).
cnf(refute_0_78,plain,
( implies(X,X_58) != or(not(X),X_58)
| or(not(X),X_58) = implies(X,X_58) ),
inference(subst,[],[refute_0_14:[bind(X0,$fot(implies(X,X_58))),bind(Y0,$fot(or(not(X),X_58)))]]) ).
cnf(refute_0_79,plain,
or(not(X),X_58) = implies(X,X_58),
inference(resolve,[$cnf( $equal(implies(X,X_58),or(not(X),X_58)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
( or(not(X),X_58) != implies(X,X_58)
| ~ axiom(implies(or(not(X),implies(X_56,X_58)),implies(X_56,or(not(X),X_58))))
| axiom(implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58)))) ),
introduced(tautology,[equality,[$cnf( axiom(implies(or(not(X),implies(X_56,X_58)),implies(X_56,or(not(X),X_58)))) ),[0,1,1],$fot(implies(X,X_58))]]) ).
cnf(refute_0_81,plain,
( ~ axiom(implies(or(not(X),implies(X_56,X_58)),implies(X_56,or(not(X),X_58))))
| axiom(implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58)))) ),
inference(resolve,[$cnf( $equal(or(not(X),X_58),implies(X,X_58)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
axiom(implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58)))),
inference(resolve,[$cnf( axiom(implies(or(not(X),implies(X_56,X_58)),implies(X_56,or(not(X),X_58)))) )],[refute_0_76,refute_0_81]) ).
cnf(refute_0_83,plain,
or(not(X),implies(X_56,X_58)) = implies(X,implies(X_56,X_58)),
inference(subst,[],[refute_0_21:[bind(Y,$fot(implies(X_56,X_58)))]]) ).
cnf(refute_0_84,plain,
implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58))) = implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58))),
introduced(tautology,[refl,[$fot(implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58))))]]) ).
cnf(refute_0_85,plain,
( implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58))) != implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58)))
| or(not(X),implies(X_56,X_58)) != implies(X,implies(X_56,X_58))
| implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58))) = implies(implies(X,implies(X_56,X_58)),implies(X_56,implies(X,X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58))),implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58)))) ),[1,0],$fot(implies(X,implies(X_56,X_58)))]]) ).
cnf(refute_0_86,plain,
( or(not(X),implies(X_56,X_58)) != implies(X,implies(X_56,X_58))
| implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58))) = implies(implies(X,implies(X_56,X_58)),implies(X_56,implies(X,X_58))) ),
inference(resolve,[$cnf( $equal(implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58))),implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58)))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58))) = implies(implies(X,implies(X_56,X_58)),implies(X_56,implies(X,X_58))),
inference(resolve,[$cnf( $equal(or(not(X),implies(X_56,X_58)),implies(X,implies(X_56,X_58))) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
( implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58))) != implies(implies(X,implies(X_56,X_58)),implies(X_56,implies(X,X_58)))
| ~ axiom(implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58))))
| axiom(implies(implies(X,implies(X_56,X_58)),implies(X_56,implies(X,X_58)))) ),
introduced(tautology,[equality,[$cnf( axiom(implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58)))) ),[0],$fot(implies(implies(X,implies(X_56,X_58)),implies(X_56,implies(X,X_58))))]]) ).
cnf(refute_0_89,plain,
( ~ axiom(implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58))))
| axiom(implies(implies(X,implies(X_56,X_58)),implies(X_56,implies(X,X_58)))) ),
inference(resolve,[$cnf( $equal(implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58))),implies(implies(X,implies(X_56,X_58)),implies(X_56,implies(X,X_58)))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
axiom(implies(implies(X,implies(X_56,X_58)),implies(X_56,implies(X,X_58)))),
inference(resolve,[$cnf( axiom(implies(or(not(X),implies(X_56,X_58)),implies(X_56,implies(X,X_58)))) )],[refute_0_82,refute_0_89]) ).
cnf(refute_0_91,plain,
axiom(implies(implies(X_59,implies(X_60,X_61)),implies(X_60,implies(X_59,X_61)))),
inference(subst,[],[refute_0_90:[bind(X,$fot(X_59)),bind(X_56,$fot(X_60)),bind(X_58,$fot(X_61))]]) ).
cnf(refute_0_92,plain,
theorem(implies(implies(X_59,implies(X_60,X_61)),implies(X_60,implies(X_59,X_61)))),
inference(resolve,[$cnf( axiom(implies(implies(X_59,implies(X_60,X_61)),implies(X_60,implies(X_59,X_61)))) )],[refute_0_91,refute_0_57]) ).
cnf(refute_0_93,plain,
( ~ theorem(X_337)
| ~ theorem(implies(X_337,implies(X_338,X_338)))
| theorem(implies(X_338,X_338)) ),
inference(subst,[],[rule_2:[bind(X,$fot(implies(X_338,X_338))),bind(Y,$fot(X_337))]]) ).
cnf(refute_0_94,plain,
( ~ axiom(implies(A,or(B,A)))
| theorem(implies(A,or(B,A))) ),
inference(subst,[],[rule_1:[bind(X,$fot(implies(A,or(B,A))))]]) ).
cnf(refute_0_95,plain,
theorem(implies(A,or(B,A))),
inference(resolve,[$cnf( axiom(implies(A,or(B,A))) )],[axiom_1_3,refute_0_94]) ).
cnf(refute_0_96,plain,
theorem(implies(X_14,or(not(X),X_14))),
inference(subst,[],[refute_0_95:[bind(A,$fot(X_14)),bind(B,$fot(not(X)))]]) ).
cnf(refute_0_97,plain,
implies(X,X_14) = or(not(X),X_14),
inference(subst,[],[implies_definition:[bind(Y,$fot(X_14))]]) ).
cnf(refute_0_98,plain,
( implies(X,X_14) != or(not(X),X_14)
| or(not(X),X_14) = implies(X,X_14) ),
inference(subst,[],[refute_0_14:[bind(X0,$fot(implies(X,X_14))),bind(Y0,$fot(or(not(X),X_14)))]]) ).
cnf(refute_0_99,plain,
or(not(X),X_14) = implies(X,X_14),
inference(resolve,[$cnf( $equal(implies(X,X_14),or(not(X),X_14)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
( or(not(X),X_14) != implies(X,X_14)
| ~ theorem(implies(X_14,or(not(X),X_14)))
| theorem(implies(X_14,implies(X,X_14))) ),
introduced(tautology,[equality,[$cnf( theorem(implies(X_14,or(not(X),X_14))) ),[0,1],$fot(implies(X,X_14))]]) ).
cnf(refute_0_101,plain,
( ~ theorem(implies(X_14,or(not(X),X_14)))
| theorem(implies(X_14,implies(X,X_14))) ),
inference(resolve,[$cnf( $equal(or(not(X),X_14),implies(X,X_14)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
theorem(implies(X_14,implies(X,X_14))),
inference(resolve,[$cnf( theorem(implies(X_14,or(not(X),X_14))) )],[refute_0_96,refute_0_101]) ).
cnf(refute_0_103,plain,
theorem(implies(X_336,implies(X_335,X_336))),
inference(subst,[],[refute_0_102:[bind(X,$fot(X_335)),bind(X_14,$fot(X_336))]]) ).
cnf(refute_0_104,plain,
( ~ theorem(implies(X_62,implies(X_63,X_64)))
| ~ theorem(implies(implies(X_62,implies(X_63,X_64)),implies(X_63,implies(X_62,X_64))))
| theorem(implies(X_63,implies(X_62,X_64))) ),
inference(subst,[],[rule_2:[bind(X,$fot(implies(X_63,implies(X_62,X_64)))),bind(Y,$fot(implies(X_62,implies(X_63,X_64))))]]) ).
cnf(refute_0_105,plain,
theorem(implies(implies(X_62,implies(X_63,X_64)),implies(X_63,implies(X_62,X_64)))),
inference(subst,[],[refute_0_92:[bind(X_59,$fot(X_62)),bind(X_60,$fot(X_63)),bind(X_61,$fot(X_64))]]) ).
cnf(refute_0_106,plain,
( ~ theorem(implies(X_62,implies(X_63,X_64)))
| theorem(implies(X_63,implies(X_62,X_64))) ),
inference(resolve,[$cnf( theorem(implies(implies(X_62,implies(X_63,X_64)),implies(X_63,implies(X_62,X_64)))) )],[refute_0_105,refute_0_104]) ).
cnf(refute_0_107,plain,
( ~ theorem(implies(X_336,implies(X_335,X_336)))
| theorem(implies(X_335,implies(X_336,X_336))) ),
inference(subst,[],[refute_0_106:[bind(X_62,$fot(X_336)),bind(X_63,$fot(X_335)),bind(X_64,$fot(X_336))]]) ).
cnf(refute_0_108,plain,
theorem(implies(X_335,implies(X_336,X_336))),
inference(resolve,[$cnf( theorem(implies(X_336,implies(X_335,X_336))) )],[refute_0_103,refute_0_107]) ).
cnf(refute_0_109,plain,
theorem(implies(X_337,implies(X_338,X_338))),
inference(subst,[],[refute_0_108:[bind(X_335,$fot(X_337)),bind(X_336,$fot(X_338))]]) ).
cnf(refute_0_110,plain,
( ~ theorem(X_337)
| theorem(implies(X_338,X_338)) ),
inference(resolve,[$cnf( theorem(implies(X_337,implies(X_338,X_338))) )],[refute_0_109,refute_0_93]) ).
cnf(refute_0_111,plain,
( ~ theorem(implies(implies(X_59,implies(X_60,X_61)),implies(X_60,implies(X_59,X_61))))
| theorem(implies(X_452,X_452)) ),
inference(subst,[],[refute_0_110:[bind(X_337,$fot(implies(implies(X_59,implies(X_60,X_61)),implies(X_60,implies(X_59,X_61))))),bind(X_338,$fot(X_452))]]) ).
cnf(refute_0_112,plain,
theorem(implies(X_452,X_452)),
inference(resolve,[$cnf( theorem(implies(implies(X_59,implies(X_60,X_61)),implies(X_60,implies(X_59,X_61)))) )],[refute_0_92,refute_0_111]) ).
cnf(refute_0_113,plain,
theorem(implies(not(X),not(X))),
inference(subst,[],[refute_0_112:[bind(X_452,$fot(not(X)))]]) ).
cnf(refute_0_114,plain,
theorem(implies(X,not(not(X)))),
inference(resolve,[$cnf( theorem(implies(not(X),not(X))) )],[refute_0_113,refute_0_56]) ).
cnf(refute_0_115,plain,
theorem(implies(X_3043,not(not(X_3043)))),
inference(subst,[],[refute_0_114:[bind(X,$fot(X_3043))]]) ).
cnf(refute_0_116,plain,
( ~ axiom(implies(implies(X_32,X_33),implies(or(X_34,X_32),or(X_34,X_33))))
| theorem(implies(implies(X_32,X_33),implies(or(X_34,X_32),or(X_34,X_33)))) ),
inference(subst,[],[rule_1:[bind(X,$fot(implies(implies(X_32,X_33),implies(or(X_34,X_32),or(X_34,X_33)))))]]) ).
cnf(refute_0_117,plain,
axiom(implies(implies(X_32,X_33),implies(or(X_34,X_32),or(X_34,X_33)))),
inference(subst,[],[axiom_1_6:[bind(A,$fot(X_32)),bind(B,$fot(X_33)),bind(C,$fot(X_34))]]) ).
cnf(refute_0_118,plain,
theorem(implies(implies(X_32,X_33),implies(or(X_34,X_32),or(X_34,X_33)))),
inference(resolve,[$cnf( axiom(implies(implies(X_32,X_33),implies(or(X_34,X_32),or(X_34,X_33)))) )],[refute_0_117,refute_0_116]) ).
cnf(refute_0_119,plain,
( ~ theorem(implies(X_32,X_33))
| ~ theorem(implies(implies(X_32,X_33),implies(or(X_34,X_32),or(X_34,X_33))))
| theorem(implies(or(X_34,X_32),or(X_34,X_33))) ),
inference(subst,[],[rule_2:[bind(X,$fot(implies(or(X_34,X_32),or(X_34,X_33)))),bind(Y,$fot(implies(X_32,X_33)))]]) ).
cnf(refute_0_120,plain,
( ~ theorem(implies(X_32,X_33))
| theorem(implies(or(X_34,X_32),or(X_34,X_33))) ),
inference(resolve,[$cnf( theorem(implies(implies(X_32,X_33),implies(or(X_34,X_32),or(X_34,X_33)))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
( ~ theorem(implies(X_3043,not(not(X_3043))))
| theorem(implies(or(X_3045,X_3043),or(X_3045,not(not(X_3043))))) ),
inference(subst,[],[refute_0_120:[bind(X_32,$fot(X_3043)),bind(X_33,$fot(not(not(X_3043)))),bind(X_34,$fot(X_3045))]]) ).
cnf(refute_0_122,plain,
theorem(implies(or(X_3045,X_3043),or(X_3045,not(not(X_3043))))),
inference(resolve,[$cnf( theorem(implies(X_3043,not(not(X_3043)))) )],[refute_0_115,refute_0_121]) ).
cnf(refute_0_123,plain,
theorem(implies(or(X_3056,X_3055),or(X_3056,not(not(X_3055))))),
inference(subst,[],[refute_0_122:[bind(X_3043,$fot(X_3055)),bind(X_3045,$fot(X_3056))]]) ).
cnf(refute_0_124,plain,
( ~ theorem(or(X_3056,X_3055))
| theorem(or(X_3056,not(not(X_3055)))) ),
inference(resolve,[$cnf( theorem(implies(or(X_3056,X_3055),or(X_3056,not(not(X_3055))))) )],[refute_0_123,refute_0_39]) ).
cnf(refute_0_125,plain,
( ~ theorem(or(implies(or(X_902,X_42824),X_902),X_42824))
| theorem(or(implies(or(X_902,X_42824),X_902),not(not(X_42824)))) ),
inference(subst,[],[refute_0_124:[bind(X_3055,$fot(X_42824)),bind(X_3056,$fot(implies(or(X_902,X_42824),X_902)))]]) ).
cnf(refute_0_126,plain,
theorem(or(implies(or(X_902,X_42824),X_902),not(not(X_42824)))),
inference(resolve,[$cnf( theorem(or(implies(or(X_902,X_42824),X_902),X_42824)) )],[refute_0_38,refute_0_125]) ).
cnf(refute_0_127,plain,
theorem(or(implies(or(X_43202,X_43201),X_43202),not(not(X_43201)))),
inference(subst,[],[refute_0_126:[bind(X_42824,$fot(X_43201)),bind(X_902,$fot(X_43202))]]) ).
cnf(refute_0_128,plain,
theorem(or(not(not(X_43201)),implies(or(X_43202,X_43201),X_43202))),
inference(resolve,[$cnf( theorem(or(implies(or(X_43202,X_43201),X_43202),not(not(X_43201)))) )],[refute_0_127,refute_0_5]) ).
cnf(refute_0_129,plain,
or(not(not(X_43201)),implies(or(X_43202,X_43201),X_43202)) = implies(not(X_43201),implies(or(X_43202,X_43201),X_43202)),
inference(subst,[],[refute_0_21:[bind(X,$fot(not(X_43201))),bind(Y,$fot(implies(or(X_43202,X_43201),X_43202)))]]) ).
cnf(refute_0_130,plain,
( or(not(not(X_43201)),implies(or(X_43202,X_43201),X_43202)) != implies(not(X_43201),implies(or(X_43202,X_43201),X_43202))
| ~ theorem(or(not(not(X_43201)),implies(or(X_43202,X_43201),X_43202)))
| theorem(implies(not(X_43201),implies(or(X_43202,X_43201),X_43202))) ),
introduced(tautology,[equality,[$cnf( theorem(or(not(not(X_43201)),implies(or(X_43202,X_43201),X_43202))) ),[0],$fot(implies(not(X_43201),implies(or(X_43202,X_43201),X_43202)))]]) ).
cnf(refute_0_131,plain,
( ~ theorem(or(not(not(X_43201)),implies(or(X_43202,X_43201),X_43202)))
| theorem(implies(not(X_43201),implies(or(X_43202,X_43201),X_43202))) ),
inference(resolve,[$cnf( $equal(or(not(not(X_43201)),implies(or(X_43202,X_43201),X_43202)),implies(not(X_43201),implies(or(X_43202,X_43201),X_43202))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
theorem(implies(not(X_43201),implies(or(X_43202,X_43201),X_43202))),
inference(resolve,[$cnf( theorem(or(not(not(X_43201)),implies(or(X_43202,X_43201),X_43202))) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
theorem(implies(not(q),implies(or(p,q),p))),
inference(subst,[],[refute_0_132:[bind(X_43201,$fot(q)),bind(X_43202,$fot(p))]]) ).
cnf(refute_0_134,plain,
$false,
inference(resolve,[$cnf( theorem(implies(not(q),implies(or(p,q),p))) )],[refute_0_133,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL211-3 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 2 15:02:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 55.49/55.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.49/55.73
% 55.49/55.73 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 55.57/55.75
%------------------------------------------------------------------------------