TSTP Solution File: GRP544-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP544-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 10:42:15 EDT 2022
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 59
% Syntax : Number of clauses : 213 ( 114 unt; 0 nHn; 106 RR)
% Number of literals : 356 ( 355 equ; 145 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 349 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = B ).
cnf(multiply,axiom,
multiply(A,B) = divide(A,divide(identity,B)) ).
cnf(inverse,axiom,
inverse(A) = divide(identity,A) ).
cnf(identity,axiom,
identity = divide(A,A) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(A) != divide(identity,A)
| divide(identity,A) = inverse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(identity,A)))]]) ).
cnf(refute_0_4,plain,
divide(identity,A) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),divide(identity,A)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
divide(identity,B) = inverse(B),
inference(subst,[],[refute_0_4:[bind(A,$fot(B))]]) ).
cnf(refute_0_6,plain,
divide(A,divide(identity,B)) = divide(A,divide(identity,B)),
introduced(tautology,[refl,[$fot(divide(A,divide(identity,B)))]]) ).
cnf(refute_0_7,plain,
( divide(A,divide(identity,B)) != divide(A,divide(identity,B))
| divide(identity,B) != inverse(B)
| divide(A,divide(identity,B)) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,divide(identity,B))) ),[1,1],$fot(inverse(B))]]) ).
cnf(refute_0_8,plain,
( divide(identity,B) != inverse(B)
| divide(A,divide(identity,B)) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,divide(identity,B))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
divide(A,divide(identity,B)) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(divide(identity,B),inverse(B)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
( multiply(A,B) != divide(A,divide(identity,B))
| divide(A,divide(identity,B)) != divide(A,inverse(B))
| multiply(A,B) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),divide(A,inverse(B))) ),[0],$fot(divide(A,divide(identity,B)))]]) ).
cnf(refute_0_11,plain,
( multiply(A,B) != divide(A,divide(identity,B))
| multiply(A,B) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,inverse(B))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
multiply(A,B) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,divide(identity,B))) )],[multiply,refute_0_11]) ).
cnf(refute_0_13,plain,
multiply(multiply(inverse(B),X_32),B) = divide(multiply(inverse(B),X_32),inverse(B)),
inference(subst,[],[refute_0_12:[bind(A,$fot(multiply(inverse(B),X_32)))]]) ).
cnf(refute_0_14,plain,
divide(identity,divide(divide(divide(A,B),C),A)) = inverse(divide(divide(divide(A,B),C),A)),
inference(subst,[],[refute_0_4:[bind(A,$fot(divide(divide(divide(A,B),C),A)))]]) ).
cnf(refute_0_15,plain,
divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = divide(divide(identity,divide(divide(divide(A,B),C),A)),C),
introduced(tautology,[refl,[$fot(divide(divide(identity,divide(divide(divide(A,B),C),A)),C))]]) ).
cnf(refute_0_16,plain,
( divide(divide(identity,divide(divide(divide(A,B),C),A)),C) != divide(divide(identity,divide(divide(divide(A,B),C),A)),C)
| divide(identity,divide(divide(divide(A,B),C),A)) != inverse(divide(divide(divide(A,B),C),A))
| divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = divide(inverse(divide(divide(divide(A,B),C),A)),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(divide(divide(A,B),C),A)),C),divide(divide(identity,divide(divide(divide(A,B),C),A)),C)) ),[1,0],$fot(inverse(divide(divide(divide(A,B),C),A)))]]) ).
cnf(refute_0_17,plain,
( divide(identity,divide(divide(divide(A,B),C),A)) != inverse(divide(divide(divide(A,B),C),A))
| divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = divide(inverse(divide(divide(divide(A,B),C),A)),C) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(divide(A,B),C),A)),C),divide(divide(identity,divide(divide(divide(A,B),C),A)),C)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = divide(inverse(divide(divide(divide(A,B),C),A)),C),
inference(resolve,[$cnf( $equal(divide(identity,divide(divide(divide(A,B),C),A)),inverse(divide(divide(divide(A,B),C),A))) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
( divide(divide(identity,divide(divide(divide(A,B),C),A)),C) != B
| divide(divide(identity,divide(divide(divide(A,B),C),A)),C) != divide(inverse(divide(divide(divide(A,B),C),A)),C)
| divide(inverse(divide(divide(divide(A,B),C),A)),C) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(divide(divide(A,B),C),A)),C),B) ),[0],$fot(divide(inverse(divide(divide(divide(A,B),C),A)),C))]]) ).
cnf(refute_0_20,plain,
( divide(divide(identity,divide(divide(divide(A,B),C),A)),C) != B
| divide(inverse(divide(divide(divide(A,B),C),A)),C) = B ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(divide(A,B),C),A)),C),divide(inverse(divide(divide(divide(A,B),C),A)),C)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
divide(inverse(divide(divide(divide(A,B),C),A)),C) = B,
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(divide(A,B),C),A)),C),B) )],[single_axiom,refute_0_20]) ).
cnf(refute_0_22,plain,
divide(inverse(divide(divide(divide(X_7,X_8),divide(X_7,X_8)),X_7)),divide(X_7,X_8)) = X_8,
inference(subst,[],[refute_0_21:[bind(A,$fot(X_7)),bind(B,$fot(X_8)),bind(C,$fot(divide(X_7,X_8)))]]) ).
cnf(refute_0_23,plain,
identity = divide(divide(X_7,X_8),divide(X_7,X_8)),
inference(subst,[],[identity:[bind(A,$fot(divide(X_7,X_8)))]]) ).
cnf(refute_0_24,plain,
( identity != divide(divide(X_7,X_8),divide(X_7,X_8))
| divide(divide(X_7,X_8),divide(X_7,X_8)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(divide(X_7,X_8),divide(X_7,X_8))))]]) ).
cnf(refute_0_25,plain,
divide(divide(X_7,X_8),divide(X_7,X_8)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(divide(X_7,X_8),divide(X_7,X_8))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( divide(divide(X_7,X_8),divide(X_7,X_8)) != identity
| divide(inverse(divide(divide(divide(X_7,X_8),divide(X_7,X_8)),X_7)),divide(X_7,X_8)) != X_8
| divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(X_7,X_8),divide(X_7,X_8)),X_7)),divide(X_7,X_8)),X_8) ),[0,0,0,0],$fot(identity)]]) ).
cnf(refute_0_27,plain,
( divide(inverse(divide(divide(divide(X_7,X_8),divide(X_7,X_8)),X_7)),divide(X_7,X_8)) != X_8
| divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = X_8 ),
inference(resolve,[$cnf( $equal(divide(divide(X_7,X_8),divide(X_7,X_8)),identity) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_7,X_8),divide(X_7,X_8)),X_7)),divide(X_7,X_8)),X_8) )],[refute_0_22,refute_0_27]) ).
cnf(refute_0_29,plain,
divide(identity,X_7) = inverse(X_7),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_7))]]) ).
cnf(refute_0_30,plain,
inverse(divide(identity,X_7)) = inverse(divide(identity,X_7)),
introduced(tautology,[refl,[$fot(inverse(divide(identity,X_7)))]]) ).
cnf(refute_0_31,plain,
( divide(identity,X_7) != inverse(X_7)
| inverse(divide(identity,X_7)) != inverse(divide(identity,X_7))
| inverse(divide(identity,X_7)) = inverse(inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,X_7)),inverse(divide(identity,X_7))) ),[1,0],$fot(inverse(X_7))]]) ).
cnf(refute_0_32,plain,
( divide(identity,X_7) != inverse(X_7)
| inverse(divide(identity,X_7)) = inverse(inverse(X_7)) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_7)),inverse(divide(identity,X_7))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
inverse(divide(identity,X_7)) = inverse(inverse(X_7)),
inference(resolve,[$cnf( $equal(divide(identity,X_7),inverse(X_7)) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),
introduced(tautology,[refl,[$fot(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)))]]) ).
cnf(refute_0_35,plain,
( divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) != divide(inverse(divide(identity,X_7)),divide(X_7,X_8))
| inverse(divide(identity,X_7)) != inverse(inverse(X_7))
| divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = divide(inverse(inverse(X_7)),divide(X_7,X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),divide(inverse(divide(identity,X_7)),divide(X_7,X_8))) ),[1,0],$fot(inverse(inverse(X_7)))]]) ).
cnf(refute_0_36,plain,
( inverse(divide(identity,X_7)) != inverse(inverse(X_7))
| divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = divide(inverse(inverse(X_7)),divide(X_7,X_8)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),divide(inverse(divide(identity,X_7)),divide(X_7,X_8))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = divide(inverse(inverse(X_7)),divide(X_7,X_8)),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_7)),inverse(inverse(X_7))) )],[refute_0_33,refute_0_36]) ).
cnf(refute_0_38,plain,
( divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) != X_8
| divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) != divide(inverse(inverse(X_7)),divide(X_7,X_8))
| divide(inverse(inverse(X_7)),divide(X_7,X_8)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),X_8) ),[0],$fot(divide(inverse(inverse(X_7)),divide(X_7,X_8)))]]) ).
cnf(refute_0_39,plain,
( divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) != X_8
| divide(inverse(inverse(X_7)),divide(X_7,X_8)) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),divide(inverse(inverse(X_7)),divide(X_7,X_8))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
divide(inverse(inverse(X_7)),divide(X_7,X_8)) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),X_8) )],[refute_0_28,refute_0_39]) ).
cnf(refute_0_41,plain,
divide(inverse(inverse(X_14)),divide(X_14,X_14)) = X_14,
inference(subst,[],[refute_0_40:[bind(X_7,$fot(X_14)),bind(X_8,$fot(X_14))]]) ).
cnf(refute_0_42,plain,
identity = divide(X_14,X_14),
inference(subst,[],[identity:[bind(A,$fot(X_14))]]) ).
cnf(refute_0_43,plain,
( identity != divide(X_14,X_14)
| divide(X_14,X_14) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(X_14,X_14)))]]) ).
cnf(refute_0_44,plain,
divide(X_14,X_14) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_14,X_14)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
( divide(X_14,X_14) != identity
| divide(inverse(inverse(X_14)),divide(X_14,X_14)) != X_14
| divide(inverse(inverse(X_14)),identity) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_14)),divide(X_14,X_14)),X_14) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_46,plain,
( divide(inverse(inverse(X_14)),divide(X_14,X_14)) != X_14
| divide(inverse(inverse(X_14)),identity) = X_14 ),
inference(resolve,[$cnf( $equal(divide(X_14,X_14),identity) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
divide(inverse(inverse(X_14)),identity) = X_14,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_14)),divide(X_14,X_14)),X_14) )],[refute_0_41,refute_0_46]) ).
cnf(refute_0_48,plain,
divide(inverse(inverse(identity)),divide(identity,X_14)) = X_14,
inference(subst,[],[refute_0_40:[bind(X_7,$fot(identity)),bind(X_8,$fot(X_14))]]) ).
cnf(refute_0_49,plain,
inverse(X_14) = divide(identity,X_14),
inference(subst,[],[inverse:[bind(A,$fot(X_14))]]) ).
cnf(refute_0_50,plain,
( inverse(X_14) != divide(identity,X_14)
| divide(identity,X_14) = inverse(X_14) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_14))),bind(Y,$fot(divide(identity,X_14)))]]) ).
cnf(refute_0_51,plain,
divide(identity,X_14) = inverse(X_14),
inference(resolve,[$cnf( $equal(inverse(X_14),divide(identity,X_14)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( divide(identity,X_14) != inverse(X_14)
| divide(inverse(inverse(identity)),divide(identity,X_14)) != X_14
| divide(inverse(inverse(identity)),inverse(X_14)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(identity)),divide(identity,X_14)),X_14) ),[0,1],$fot(inverse(X_14))]]) ).
cnf(refute_0_53,plain,
( divide(inverse(inverse(identity)),divide(identity,X_14)) != X_14
| divide(inverse(inverse(identity)),inverse(X_14)) = X_14 ),
inference(resolve,[$cnf( $equal(divide(identity,X_14),inverse(X_14)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
divide(inverse(inverse(identity)),inverse(X_14)) = X_14,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),divide(identity,X_14)),X_14) )],[refute_0_48,refute_0_53]) ).
cnf(refute_0_55,plain,
( multiply(A,B) != divide(A,inverse(B))
| divide(A,inverse(B)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).
cnf(refute_0_56,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[refute_0_12,refute_0_55]) ).
cnf(refute_0_57,plain,
divide(X_14,inverse(identity)) = multiply(X_14,identity),
inference(subst,[],[refute_0_56:[bind(A,$fot(X_14)),bind(B,$fot(identity))]]) ).
cnf(refute_0_58,plain,
divide(inverse(divide(divide(divide(X_8,X_8),X_9),X_8)),X_9) = X_8,
inference(subst,[],[refute_0_21:[bind(A,$fot(X_8)),bind(B,$fot(X_8)),bind(C,$fot(X_9))]]) ).
cnf(refute_0_59,plain,
identity = divide(X_8,X_8),
inference(subst,[],[identity:[bind(A,$fot(X_8))]]) ).
cnf(refute_0_60,plain,
( identity != divide(X_8,X_8)
| divide(X_8,X_8) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(X_8,X_8)))]]) ).
cnf(refute_0_61,plain,
divide(X_8,X_8) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_8,X_8)) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
( divide(X_8,X_8) != identity
| divide(inverse(divide(divide(divide(X_8,X_8),X_9),X_8)),X_9) != X_8
| divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_8),X_9),X_8)),X_9),X_8) ),[0,0,0,0,0],$fot(identity)]]) ).
cnf(refute_0_63,plain,
( divide(inverse(divide(divide(divide(X_8,X_8),X_9),X_8)),X_9) != X_8
| divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = X_8 ),
inference(resolve,[$cnf( $equal(divide(X_8,X_8),identity) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_8),X_9),X_8)),X_9),X_8) )],[refute_0_58,refute_0_63]) ).
cnf(refute_0_65,plain,
divide(identity,X_9) = inverse(X_9),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_9))]]) ).
cnf(refute_0_66,plain,
divide(divide(identity,X_9),X_8) = divide(divide(identity,X_9),X_8),
introduced(tautology,[refl,[$fot(divide(divide(identity,X_9),X_8))]]) ).
cnf(refute_0_67,plain,
( divide(divide(identity,X_9),X_8) != divide(divide(identity,X_9),X_8)
| divide(identity,X_9) != inverse(X_9)
| divide(divide(identity,X_9),X_8) = divide(inverse(X_9),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,X_9),X_8),divide(divide(identity,X_9),X_8)) ),[1,0],$fot(inverse(X_9))]]) ).
cnf(refute_0_68,plain,
( divide(identity,X_9) != inverse(X_9)
| divide(divide(identity,X_9),X_8) = divide(inverse(X_9),X_8) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_9),X_8),divide(divide(identity,X_9),X_8)) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
divide(divide(identity,X_9),X_8) = divide(inverse(X_9),X_8),
inference(resolve,[$cnf( $equal(divide(identity,X_9),inverse(X_9)) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
inverse(divide(divide(identity,X_9),X_8)) = inverse(divide(divide(identity,X_9),X_8)),
introduced(tautology,[refl,[$fot(inverse(divide(divide(identity,X_9),X_8)))]]) ).
cnf(refute_0_71,plain,
( divide(divide(identity,X_9),X_8) != divide(inverse(X_9),X_8)
| inverse(divide(divide(identity,X_9),X_8)) != inverse(divide(divide(identity,X_9),X_8))
| inverse(divide(divide(identity,X_9),X_8)) = inverse(divide(inverse(X_9),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(identity,X_9),X_8)),inverse(divide(divide(identity,X_9),X_8))) ),[1,0],$fot(divide(inverse(X_9),X_8))]]) ).
cnf(refute_0_72,plain,
( divide(divide(identity,X_9),X_8) != divide(inverse(X_9),X_8)
| inverse(divide(divide(identity,X_9),X_8)) = inverse(divide(inverse(X_9),X_8)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(identity,X_9),X_8)),inverse(divide(divide(identity,X_9),X_8))) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
inverse(divide(divide(identity,X_9),X_8)) = inverse(divide(inverse(X_9),X_8)),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_9),X_8),divide(inverse(X_9),X_8)) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = divide(inverse(divide(divide(identity,X_9),X_8)),X_9),
introduced(tautology,[refl,[$fot(divide(inverse(divide(divide(identity,X_9),X_8)),X_9))]]) ).
cnf(refute_0_75,plain,
( divide(inverse(divide(divide(identity,X_9),X_8)),X_9) != divide(inverse(divide(divide(identity,X_9),X_8)),X_9)
| inverse(divide(divide(identity,X_9),X_8)) != inverse(divide(inverse(X_9),X_8))
| divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = divide(inverse(divide(inverse(X_9),X_8)),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(identity,X_9),X_8)),X_9),divide(inverse(divide(divide(identity,X_9),X_8)),X_9)) ),[1,0],$fot(inverse(divide(inverse(X_9),X_8)))]]) ).
cnf(refute_0_76,plain,
( inverse(divide(divide(identity,X_9),X_8)) != inverse(divide(inverse(X_9),X_8))
| divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = divide(inverse(divide(inverse(X_9),X_8)),X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(identity,X_9),X_8)),X_9),divide(inverse(divide(divide(identity,X_9),X_8)),X_9)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = divide(inverse(divide(inverse(X_9),X_8)),X_9),
inference(resolve,[$cnf( $equal(inverse(divide(divide(identity,X_9),X_8)),inverse(divide(inverse(X_9),X_8))) )],[refute_0_73,refute_0_76]) ).
cnf(refute_0_78,plain,
( divide(inverse(divide(divide(identity,X_9),X_8)),X_9) != X_8
| divide(inverse(divide(divide(identity,X_9),X_8)),X_9) != divide(inverse(divide(inverse(X_9),X_8)),X_9)
| divide(inverse(divide(inverse(X_9),X_8)),X_9) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(identity,X_9),X_8)),X_9),X_8) ),[0],$fot(divide(inverse(divide(inverse(X_9),X_8)),X_9))]]) ).
cnf(refute_0_79,plain,
( divide(inverse(divide(divide(identity,X_9),X_8)),X_9) != X_8
| divide(inverse(divide(inverse(X_9),X_8)),X_9) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(identity,X_9),X_8)),X_9),divide(inverse(divide(inverse(X_9),X_8)),X_9)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
divide(inverse(divide(inverse(X_9),X_8)),X_9) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(identity,X_9),X_8)),X_9),X_8) )],[refute_0_64,refute_0_79]) ).
cnf(refute_0_81,plain,
divide(inverse(divide(inverse(inverse(X_13)),divide(X_13,X_14))),inverse(X_13)) = divide(X_13,X_14),
inference(subst,[],[refute_0_80:[bind(X_8,$fot(divide(X_13,X_14))),bind(X_9,$fot(inverse(X_13)))]]) ).
cnf(refute_0_82,plain,
divide(inverse(inverse(X_13)),divide(X_13,X_14)) = X_14,
inference(subst,[],[refute_0_40:[bind(X_7,$fot(X_13)),bind(X_8,$fot(X_14))]]) ).
cnf(refute_0_83,plain,
( divide(inverse(divide(inverse(inverse(X_13)),divide(X_13,X_14))),inverse(X_13)) != divide(X_13,X_14)
| divide(inverse(inverse(X_13)),divide(X_13,X_14)) != X_14
| divide(inverse(X_14),inverse(X_13)) = divide(X_13,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(inverse(X_13)),divide(X_13,X_14))),inverse(X_13)),divide(X_13,X_14)) ),[0,0,0],$fot(X_14)]]) ).
cnf(refute_0_84,plain,
( divide(inverse(divide(inverse(inverse(X_13)),divide(X_13,X_14))),inverse(X_13)) != divide(X_13,X_14)
| divide(inverse(X_14),inverse(X_13)) = divide(X_13,X_14) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_13)),divide(X_13,X_14)),X_14) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
divide(inverse(X_14),inverse(X_13)) = divide(X_13,X_14),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(inverse(X_13)),divide(X_13,X_14))),inverse(X_13)),divide(X_13,X_14)) )],[refute_0_81,refute_0_84]) ).
cnf(refute_0_86,plain,
divide(inverse(X_14),inverse(X_13)) = multiply(inverse(X_14),X_13),
inference(subst,[],[refute_0_56:[bind(A,$fot(inverse(X_14))),bind(B,$fot(X_13))]]) ).
cnf(refute_0_87,plain,
( divide(inverse(X_14),inverse(X_13)) != multiply(inverse(X_14),X_13)
| divide(inverse(X_14),inverse(X_13)) != divide(X_13,X_14)
| multiply(inverse(X_14),X_13) = divide(X_13,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_14),inverse(X_13)),divide(X_13,X_14)) ),[0],$fot(multiply(inverse(X_14),X_13))]]) ).
cnf(refute_0_88,plain,
( divide(inverse(X_14),inverse(X_13)) != divide(X_13,X_14)
| multiply(inverse(X_14),X_13) = divide(X_13,X_14) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_14),inverse(X_13)),multiply(inverse(X_14),X_13)) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
multiply(inverse(X_14),X_13) = divide(X_13,X_14),
inference(resolve,[$cnf( $equal(divide(inverse(X_14),inverse(X_13)),divide(X_13,X_14)) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
multiply(inverse(inverse(identity)),X_14) = divide(X_14,inverse(identity)),
inference(subst,[],[refute_0_89:[bind(X_13,$fot(X_14)),bind(X_14,$fot(inverse(identity)))]]) ).
cnf(refute_0_91,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_92,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_91]) ).
cnf(refute_0_93,plain,
( multiply(inverse(inverse(identity)),X_14) != divide(X_14,inverse(identity))
| divide(X_14,inverse(identity)) != multiply(X_14,identity)
| multiply(inverse(inverse(identity)),X_14) = multiply(X_14,identity) ),
inference(subst,[],[refute_0_92:[bind(X,$fot(multiply(inverse(inverse(identity)),X_14))),bind(Y,$fot(divide(X_14,inverse(identity)))),bind(Z,$fot(multiply(X_14,identity)))]]) ).
cnf(refute_0_94,plain,
( divide(X_14,inverse(identity)) != multiply(X_14,identity)
| multiply(inverse(inverse(identity)),X_14) = multiply(X_14,identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),X_14),divide(X_14,inverse(identity))) )],[refute_0_90,refute_0_93]) ).
cnf(refute_0_95,plain,
multiply(inverse(inverse(identity)),X_14) = multiply(X_14,identity),
inference(resolve,[$cnf( $equal(divide(X_14,inverse(identity)),multiply(X_14,identity)) )],[refute_0_57,refute_0_94]) ).
cnf(refute_0_96,plain,
divide(inverse(inverse(identity)),inverse(X_14)) = multiply(inverse(inverse(identity)),X_14),
inference(subst,[],[refute_0_56:[bind(A,$fot(inverse(inverse(identity)))),bind(B,$fot(X_14))]]) ).
cnf(refute_0_97,plain,
( multiply(inverse(inverse(identity)),X_14) != multiply(X_14,identity)
| divide(inverse(inverse(identity)),inverse(X_14)) != multiply(inverse(inverse(identity)),X_14)
| divide(inverse(inverse(identity)),inverse(X_14)) = multiply(X_14,identity) ),
inference(subst,[],[refute_0_92:[bind(X,$fot(divide(inverse(inverse(identity)),inverse(X_14)))),bind(Y,$fot(multiply(inverse(inverse(identity)),X_14))),bind(Z,$fot(multiply(X_14,identity)))]]) ).
cnf(refute_0_98,plain,
( multiply(inverse(inverse(identity)),X_14) != multiply(X_14,identity)
| divide(inverse(inverse(identity)),inverse(X_14)) = multiply(X_14,identity) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),inverse(X_14)),multiply(inverse(inverse(identity)),X_14)) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
divide(inverse(inverse(identity)),inverse(X_14)) = multiply(X_14,identity),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),X_14),multiply(X_14,identity)) )],[refute_0_95,refute_0_98]) ).
cnf(refute_0_100,plain,
( divide(inverse(inverse(identity)),inverse(X_14)) != X_14
| divide(inverse(inverse(identity)),inverse(X_14)) != multiply(X_14,identity)
| multiply(X_14,identity) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(identity)),inverse(X_14)),X_14) ),[0],$fot(multiply(X_14,identity))]]) ).
cnf(refute_0_101,plain,
( divide(inverse(inverse(identity)),inverse(X_14)) != X_14
| multiply(X_14,identity) = X_14 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),inverse(X_14)),multiply(X_14,identity)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
multiply(X_14,identity) = X_14,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),inverse(X_14)),X_14) )],[refute_0_54,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(inverse(inverse(X_14)),identity) = inverse(inverse(X_14)),
inference(subst,[],[refute_0_102:[bind(X_14,$fot(inverse(inverse(X_14))))]]) ).
cnf(refute_0_104,plain,
multiply(X_2,identity) = divide(X_2,inverse(identity)),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_2)),bind(B,$fot(identity))]]) ).
cnf(refute_0_105,plain,
identity = divide(identity,identity),
inference(subst,[],[identity:[bind(A,$fot(identity))]]) ).
cnf(refute_0_106,plain,
inverse(identity) = divide(identity,identity),
inference(subst,[],[inverse:[bind(A,$fot(identity))]]) ).
cnf(refute_0_107,plain,
( inverse(identity) != divide(identity,identity)
| divide(identity,identity) = inverse(identity) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(identity))),bind(Y,$fot(divide(identity,identity)))]]) ).
cnf(refute_0_108,plain,
divide(identity,identity) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),divide(identity,identity)) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
( divide(identity,identity) != inverse(identity)
| identity != divide(identity,identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(identity,identity)) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_110,plain,
( identity != divide(identity,identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(divide(identity,identity),inverse(identity)) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,divide(identity,identity)) )],[refute_0_105,refute_0_110]) ).
cnf(refute_0_112,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_113,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| inverse(identity) != identity
| multiply(X_2,identity) = divide(X_2,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_115,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| multiply(X_2,identity) = divide(X_2,identity) ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
multiply(X_2,identity) = divide(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) )],[refute_0_104,refute_0_115]) ).
cnf(refute_0_117,plain,
( multiply(X_2,identity) != divide(X_2,identity)
| divide(X_2,identity) = multiply(X_2,identity) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_2,identity))),bind(Y,$fot(divide(X_2,identity)))]]) ).
cnf(refute_0_118,plain,
divide(X_2,identity) = multiply(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,identity)) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
divide(inverse(inverse(X_14)),identity) = multiply(inverse(inverse(X_14)),identity),
inference(subst,[],[refute_0_118:[bind(X_2,$fot(inverse(inverse(X_14))))]]) ).
cnf(refute_0_120,plain,
( multiply(inverse(inverse(X_14)),identity) != inverse(inverse(X_14))
| divide(inverse(inverse(X_14)),identity) != multiply(inverse(inverse(X_14)),identity)
| divide(inverse(inverse(X_14)),identity) = inverse(inverse(X_14)) ),
inference(subst,[],[refute_0_92:[bind(X,$fot(divide(inverse(inverse(X_14)),identity))),bind(Y,$fot(multiply(inverse(inverse(X_14)),identity))),bind(Z,$fot(inverse(inverse(X_14))))]]) ).
cnf(refute_0_121,plain,
( multiply(inverse(inverse(X_14)),identity) != inverse(inverse(X_14))
| divide(inverse(inverse(X_14)),identity) = inverse(inverse(X_14)) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_14)),identity),multiply(inverse(inverse(X_14)),identity)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
divide(inverse(inverse(X_14)),identity) = inverse(inverse(X_14)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_14)),identity),inverse(inverse(X_14))) )],[refute_0_103,refute_0_121]) ).
cnf(refute_0_123,plain,
( divide(inverse(inverse(X_14)),identity) != X_14
| divide(inverse(inverse(X_14)),identity) != inverse(inverse(X_14))
| inverse(inverse(X_14)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_14)),identity),X_14) ),[0],$fot(inverse(inverse(X_14)))]]) ).
cnf(refute_0_124,plain,
( divide(inverse(inverse(X_14)),identity) != X_14
| inverse(inverse(X_14)) = X_14 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_14)),identity),inverse(inverse(X_14))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
inverse(inverse(X_14)) = X_14,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_14)),identity),X_14) )],[refute_0_47,refute_0_124]) ).
cnf(refute_0_126,plain,
inverse(inverse(divide(divide(X_24,X_25),X_24))) = divide(divide(X_24,X_25),X_24),
inference(subst,[],[refute_0_125:[bind(X_14,$fot(divide(divide(X_24,X_25),X_24)))]]) ).
cnf(refute_0_127,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),
inference(subst,[],[refute_0_116:[bind(X_2,$fot(inverse(divide(divide(divide(X_7,X_8),identity),X_7))))]]) ).
cnf(refute_0_128,plain,
divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = X_8,
inference(subst,[],[refute_0_21:[bind(A,$fot(X_7)),bind(B,$fot(X_8)),bind(C,$fot(identity))]]) ).
cnf(refute_0_129,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)
| divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != X_8
| multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = X_8 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),X_8) ),[0],$fot(divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity))]]) ).
cnf(refute_0_130,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)
| multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),X_8) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)) )],[refute_0_127,refute_0_130]) ).
cnf(refute_0_132,plain,
divide(divide(X_7,X_8),identity) = multiply(divide(X_7,X_8),identity),
inference(subst,[],[refute_0_118:[bind(X_2,$fot(divide(X_7,X_8)))]]) ).
cnf(refute_0_133,plain,
divide(divide(divide(X_7,X_8),identity),X_7) = divide(divide(divide(X_7,X_8),identity),X_7),
introduced(tautology,[refl,[$fot(divide(divide(divide(X_7,X_8),identity),X_7))]]) ).
cnf(refute_0_134,plain,
( divide(divide(X_7,X_8),identity) != multiply(divide(X_7,X_8),identity)
| divide(divide(divide(X_7,X_8),identity),X_7) != divide(divide(divide(X_7,X_8),identity),X_7)
| divide(divide(divide(X_7,X_8),identity),X_7) = divide(multiply(divide(X_7,X_8),identity),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_7,X_8),identity),X_7),divide(divide(divide(X_7,X_8),identity),X_7)) ),[1,0],$fot(multiply(divide(X_7,X_8),identity))]]) ).
cnf(refute_0_135,plain,
( divide(divide(X_7,X_8),identity) != multiply(divide(X_7,X_8),identity)
| divide(divide(divide(X_7,X_8),identity),X_7) = divide(multiply(divide(X_7,X_8),identity),X_7) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_7,X_8),identity),X_7),divide(divide(divide(X_7,X_8),identity),X_7)) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
divide(divide(divide(X_7,X_8),identity),X_7) = divide(multiply(divide(X_7,X_8),identity),X_7),
inference(resolve,[$cnf( $equal(divide(divide(X_7,X_8),identity),multiply(divide(X_7,X_8),identity)) )],[refute_0_132,refute_0_135]) ).
cnf(refute_0_137,plain,
inverse(divide(divide(divide(X_7,X_8),identity),X_7)) = inverse(divide(divide(divide(X_7,X_8),identity),X_7)),
introduced(tautology,[refl,[$fot(inverse(divide(divide(divide(X_7,X_8),identity),X_7)))]]) ).
cnf(refute_0_138,plain,
( divide(divide(divide(X_7,X_8),identity),X_7) != divide(multiply(divide(X_7,X_8),identity),X_7)
| inverse(divide(divide(divide(X_7,X_8),identity),X_7)) != inverse(divide(divide(divide(X_7,X_8),identity),X_7))
| inverse(divide(divide(divide(X_7,X_8),identity),X_7)) = inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),inverse(divide(divide(divide(X_7,X_8),identity),X_7))) ),[1,0],$fot(divide(multiply(divide(X_7,X_8),identity),X_7))]]) ).
cnf(refute_0_139,plain,
( divide(divide(divide(X_7,X_8),identity),X_7) != divide(multiply(divide(X_7,X_8),identity),X_7)
| inverse(divide(divide(divide(X_7,X_8),identity),X_7)) = inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),inverse(divide(divide(divide(X_7,X_8),identity),X_7))) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
inverse(divide(divide(divide(X_7,X_8),identity),X_7)) = inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_7,X_8),identity),X_7),divide(multiply(divide(X_7,X_8),identity),X_7)) )],[refute_0_136,refute_0_139]) ).
cnf(refute_0_141,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity))]]) ).
cnf(refute_0_142,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)
| inverse(divide(divide(divide(X_7,X_8),identity),X_7)) != inverse(divide(multiply(divide(X_7,X_8),identity),X_7))
| multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)) ),[1,0],$fot(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)))]]) ).
cnf(refute_0_143,plain,
( inverse(divide(divide(divide(X_7,X_8),identity),X_7)) != inverse(divide(multiply(divide(X_7,X_8),identity),X_7))
| multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity),
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),inverse(divide(multiply(divide(X_7,X_8),identity),X_7))) )],[refute_0_140,refute_0_143]) ).
cnf(refute_0_145,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != X_8
| multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity)
| multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),X_8) ),[0],$fot(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity))]]) ).
cnf(refute_0_146,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != X_8
| multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),X_8) )],[refute_0_131,refute_0_146]) ).
cnf(refute_0_148,plain,
multiply(divide(X_7,X_8),identity) = divide(X_7,X_8),
inference(subst,[],[refute_0_102:[bind(X_14,$fot(divide(X_7,X_8)))]]) ).
cnf(refute_0_149,plain,
divide(multiply(divide(X_7,X_8),identity),X_7) = divide(multiply(divide(X_7,X_8),identity),X_7),
introduced(tautology,[refl,[$fot(divide(multiply(divide(X_7,X_8),identity),X_7))]]) ).
cnf(refute_0_150,plain,
( multiply(divide(X_7,X_8),identity) != divide(X_7,X_8)
| divide(multiply(divide(X_7,X_8),identity),X_7) != divide(multiply(divide(X_7,X_8),identity),X_7)
| divide(multiply(divide(X_7,X_8),identity),X_7) = divide(divide(X_7,X_8),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_7,X_8),identity),X_7),divide(multiply(divide(X_7,X_8),identity),X_7)) ),[1,0],$fot(divide(X_7,X_8))]]) ).
cnf(refute_0_151,plain,
( multiply(divide(X_7,X_8),identity) != divide(X_7,X_8)
| divide(multiply(divide(X_7,X_8),identity),X_7) = divide(divide(X_7,X_8),X_7) ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_7,X_8),identity),X_7),divide(multiply(divide(X_7,X_8),identity),X_7)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
divide(multiply(divide(X_7,X_8),identity),X_7) = divide(divide(X_7,X_8),X_7),
inference(resolve,[$cnf( $equal(multiply(divide(X_7,X_8),identity),divide(X_7,X_8)) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) = inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),
introduced(tautology,[refl,[$fot(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)))]]) ).
cnf(refute_0_154,plain,
( divide(multiply(divide(X_7,X_8),identity),X_7) != divide(divide(X_7,X_8),X_7)
| inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) != inverse(divide(multiply(divide(X_7,X_8),identity),X_7))
| inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) = inverse(divide(divide(X_7,X_8),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),inverse(divide(multiply(divide(X_7,X_8),identity),X_7))) ),[1,0],$fot(divide(divide(X_7,X_8),X_7))]]) ).
cnf(refute_0_155,plain,
( divide(multiply(divide(X_7,X_8),identity),X_7) != divide(divide(X_7,X_8),X_7)
| inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) = inverse(divide(divide(X_7,X_8),X_7)) ),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),inverse(divide(multiply(divide(X_7,X_8),identity),X_7))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) = inverse(divide(divide(X_7,X_8),X_7)),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_7,X_8),identity),X_7),divide(divide(X_7,X_8),X_7)) )],[refute_0_152,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),
inference(subst,[],[refute_0_102:[bind(X_14,$fot(inverse(divide(multiply(divide(X_7,X_8),identity),X_7))))]]) ).
cnf(refute_0_158,plain,
( multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) != inverse(divide(multiply(divide(X_7,X_8),identity),X_7))
| inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) != inverse(divide(divide(X_7,X_8),X_7))
| multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = inverse(divide(divide(X_7,X_8),X_7)) ),
inference(subst,[],[refute_0_92:[bind(X,$fot(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity))),bind(Y,$fot(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)))),bind(Z,$fot(inverse(divide(divide(X_7,X_8),X_7))))]]) ).
cnf(refute_0_159,plain,
( inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) != inverse(divide(divide(X_7,X_8),X_7))
| multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = inverse(divide(divide(X_7,X_8),X_7)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity),inverse(divide(multiply(divide(X_7,X_8),identity),X_7))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = inverse(divide(divide(X_7,X_8),X_7)),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),inverse(divide(divide(X_7,X_8),X_7))) )],[refute_0_156,refute_0_159]) ).
cnf(refute_0_161,plain,
( multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) != X_8
| multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) != inverse(divide(divide(X_7,X_8),X_7))
| inverse(divide(divide(X_7,X_8),X_7)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity),X_8) ),[0],$fot(inverse(divide(divide(X_7,X_8),X_7)))]]) ).
cnf(refute_0_162,plain,
( multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) != X_8
| inverse(divide(divide(X_7,X_8),X_7)) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity),inverse(divide(divide(X_7,X_8),X_7))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
inverse(divide(divide(X_7,X_8),X_7)) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity),X_8) )],[refute_0_147,refute_0_162]) ).
cnf(refute_0_164,plain,
inverse(divide(divide(X_24,X_25),X_24)) = X_25,
inference(subst,[],[refute_0_163:[bind(X_7,$fot(X_24)),bind(X_8,$fot(X_25))]]) ).
cnf(refute_0_165,plain,
( inverse(divide(divide(X_24,X_25),X_24)) != X_25
| inverse(inverse(divide(divide(X_24,X_25),X_24))) != divide(divide(X_24,X_25),X_24)
| inverse(X_25) = divide(divide(X_24,X_25),X_24) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(divide(X_24,X_25),X_24))),divide(divide(X_24,X_25),X_24)) ),[0,0],$fot(X_25)]]) ).
cnf(refute_0_166,plain,
( inverse(inverse(divide(divide(X_24,X_25),X_24))) != divide(divide(X_24,X_25),X_24)
| inverse(X_25) = divide(divide(X_24,X_25),X_24) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_24,X_25),X_24)),X_25) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
inverse(X_25) = divide(divide(X_24,X_25),X_24),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(divide(X_24,X_25),X_24))),divide(divide(X_24,X_25),X_24)) )],[refute_0_126,refute_0_166]) ).
cnf(refute_0_168,plain,
inverse(inverse(B)) = divide(divide(X_30,inverse(B)),X_30),
inference(subst,[],[refute_0_167:[bind(X_24,$fot(X_30)),bind(X_25,$fot(inverse(B)))]]) ).
cnf(refute_0_169,plain,
multiply(X_30,B) = divide(X_30,inverse(B)),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_30))]]) ).
cnf(refute_0_170,plain,
( multiply(X_30,B) != divide(X_30,inverse(B))
| divide(X_30,inverse(B)) = multiply(X_30,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_30,B))),bind(Y,$fot(divide(X_30,inverse(B))))]]) ).
cnf(refute_0_171,plain,
divide(X_30,inverse(B)) = multiply(X_30,B),
inference(resolve,[$cnf( $equal(multiply(X_30,B),divide(X_30,inverse(B))) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
( divide(X_30,inverse(B)) != multiply(X_30,B)
| inverse(inverse(B)) != divide(divide(X_30,inverse(B)),X_30)
| inverse(inverse(B)) = divide(multiply(X_30,B),X_30) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(B)),divide(divide(X_30,inverse(B)),X_30)) ),[1,0],$fot(multiply(X_30,B))]]) ).
cnf(refute_0_173,plain,
( inverse(inverse(B)) != divide(divide(X_30,inverse(B)),X_30)
| inverse(inverse(B)) = divide(multiply(X_30,B),X_30) ),
inference(resolve,[$cnf( $equal(divide(X_30,inverse(B)),multiply(X_30,B)) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
inverse(inverse(B)) = divide(multiply(X_30,B),X_30),
inference(resolve,[$cnf( $equal(inverse(inverse(B)),divide(divide(X_30,inverse(B)),X_30)) )],[refute_0_168,refute_0_173]) ).
cnf(refute_0_175,plain,
inverse(inverse(B)) = B,
inference(subst,[],[refute_0_125:[bind(X_14,$fot(B))]]) ).
cnf(refute_0_176,plain,
( inverse(inverse(B)) != B
| inverse(inverse(B)) != divide(multiply(X_30,B),X_30)
| B = divide(multiply(X_30,B),X_30) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(B)),divide(multiply(X_30,B),X_30)) ),[0],$fot(B)]]) ).
cnf(refute_0_177,plain,
( inverse(inverse(B)) != divide(multiply(X_30,B),X_30)
| B = divide(multiply(X_30,B),X_30) ),
inference(resolve,[$cnf( $equal(inverse(inverse(B)),B) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
B = divide(multiply(X_30,B),X_30),
inference(resolve,[$cnf( $equal(inverse(inverse(B)),divide(multiply(X_30,B),X_30)) )],[refute_0_174,refute_0_177]) ).
cnf(refute_0_179,plain,
X_32 = divide(multiply(inverse(B),X_32),inverse(B)),
inference(subst,[],[refute_0_178:[bind(B,$fot(X_32)),bind(X_30,$fot(inverse(B)))]]) ).
cnf(refute_0_180,plain,
( X_32 != divide(multiply(inverse(B),X_32),inverse(B))
| divide(multiply(inverse(B),X_32),inverse(B)) = X_32 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_32)),bind(Y,$fot(divide(multiply(inverse(B),X_32),inverse(B))))]]) ).
cnf(refute_0_181,plain,
divide(multiply(inverse(B),X_32),inverse(B)) = X_32,
inference(resolve,[$cnf( $equal(X_32,divide(multiply(inverse(B),X_32),inverse(B))) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
( multiply(multiply(inverse(B),X_32),B) != divide(multiply(inverse(B),X_32),inverse(B))
| divide(multiply(inverse(B),X_32),inverse(B)) != X_32
| multiply(multiply(inverse(B),X_32),B) = X_32 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(B),X_32),B),X_32) ),[0],$fot(divide(multiply(inverse(B),X_32),inverse(B)))]]) ).
cnf(refute_0_183,plain,
( multiply(multiply(inverse(B),X_32),B) != divide(multiply(inverse(B),X_32),inverse(B))
| multiply(multiply(inverse(B),X_32),B) = X_32 ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(B),X_32),inverse(B)),X_32) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
multiply(multiply(inverse(B),X_32),B) = X_32,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),X_32),B),divide(multiply(inverse(B),X_32),inverse(B))) )],[refute_0_13,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(inverse(B),X_32) = divide(X_32,B),
inference(subst,[],[refute_0_89:[bind(X_13,$fot(X_32)),bind(X_14,$fot(B))]]) ).
cnf(refute_0_186,plain,
multiply(multiply(inverse(B),X_32),B) = multiply(multiply(inverse(B),X_32),B),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(B),X_32),B))]]) ).
cnf(refute_0_187,plain,
( multiply(multiply(inverse(B),X_32),B) != multiply(multiply(inverse(B),X_32),B)
| multiply(inverse(B),X_32) != divide(X_32,B)
| multiply(multiply(inverse(B),X_32),B) = multiply(divide(X_32,B),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(B),X_32),B),multiply(multiply(inverse(B),X_32),B)) ),[1,0],$fot(divide(X_32,B))]]) ).
cnf(refute_0_188,plain,
( multiply(inverse(B),X_32) != divide(X_32,B)
| multiply(multiply(inverse(B),X_32),B) = multiply(divide(X_32,B),B) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),X_32),B),multiply(multiply(inverse(B),X_32),B)) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
multiply(multiply(inverse(B),X_32),B) = multiply(divide(X_32,B),B),
inference(resolve,[$cnf( $equal(multiply(inverse(B),X_32),divide(X_32,B)) )],[refute_0_185,refute_0_188]) ).
cnf(refute_0_190,plain,
( multiply(multiply(inverse(B),X_32),B) != X_32
| multiply(multiply(inverse(B),X_32),B) != multiply(divide(X_32,B),B)
| multiply(divide(X_32,B),B) = X_32 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(B),X_32),B),X_32) ),[0],$fot(multiply(divide(X_32,B),B))]]) ).
cnf(refute_0_191,plain,
( multiply(multiply(inverse(B),X_32),B) != X_32
| multiply(divide(X_32,B),B) = X_32 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),X_32),B),multiply(divide(X_32,B),B)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
multiply(divide(X_32,B),B) = X_32,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),X_32),B),X_32) )],[refute_0_184,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(divide(multiply(X_34,B),X_34),X_34) = multiply(X_34,B),
inference(subst,[],[refute_0_192:[bind(B,$fot(X_34)),bind(X_32,$fot(multiply(X_34,B)))]]) ).
cnf(refute_0_194,plain,
B = divide(multiply(X_34,B),X_34),
inference(subst,[],[refute_0_178:[bind(X_30,$fot(X_34))]]) ).
cnf(refute_0_195,plain,
( B != divide(multiply(X_34,B),X_34)
| divide(multiply(X_34,B),X_34) = B ),
inference(subst,[],[refute_0_2:[bind(X,$fot(B)),bind(Y,$fot(divide(multiply(X_34,B),X_34)))]]) ).
cnf(refute_0_196,plain,
divide(multiply(X_34,B),X_34) = B,
inference(resolve,[$cnf( $equal(B,divide(multiply(X_34,B),X_34)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
( multiply(divide(multiply(X_34,B),X_34),X_34) != multiply(X_34,B)
| divide(multiply(X_34,B),X_34) != B
| multiply(B,X_34) = multiply(X_34,B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(multiply(X_34,B),X_34),X_34),multiply(X_34,B)) ),[0,0],$fot(B)]]) ).
cnf(refute_0_198,plain,
( multiply(divide(multiply(X_34,B),X_34),X_34) != multiply(X_34,B)
| multiply(B,X_34) = multiply(X_34,B) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_34,B),X_34),B) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
multiply(B,X_34) = multiply(X_34,B),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(X_34,B),X_34),X_34),multiply(X_34,B)) )],[refute_0_193,refute_0_198]) ).
cnf(refute_0_200,plain,
( multiply(B,X_34) != multiply(X_34,B)
| multiply(X_34,B) = multiply(B,X_34) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(B,X_34))),bind(Y,$fot(multiply(X_34,B)))]]) ).
cnf(refute_0_201,plain,
multiply(X_34,B) = multiply(B,X_34),
inference(resolve,[$cnf( $equal(multiply(B,X_34),multiply(X_34,B)) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
multiply(b,a) = multiply(a,b),
inference(subst,[],[refute_0_201:[bind(B,$fot(a)),bind(X_34,$fot(b))]]) ).
cnf(refute_0_203,plain,
( multiply(a,b) != multiply(a,b)
| multiply(b,a) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,b),multiply(b,a)) ),[1],$fot(multiply(a,b))]]) ).
cnf(refute_0_204,plain,
( multiply(a,b) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(b,a),multiply(a,b)) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(a,b) != multiply(a,b),
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(b,a)) )],[refute_0_204,prove_these_axioms_4]) ).
cnf(refute_0_206,plain,
multiply(a,b) = multiply(a,b),
introduced(tautology,[refl,[$fot(multiply(a,b))]]) ).
cnf(refute_0_207,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(a,b)) )],[refute_0_206,refute_0_205]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP544-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.13/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 13 12:20:06 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40
% 0.14/0.40 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.22/0.44
%------------------------------------------------------------------------------