TSTP Solution File: GRP512-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP512-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 10:42:03 EDT 2022
% Result : Unsatisfiable 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 40
% Syntax : Number of clauses : 153 ( 81 unt; 0 nHn; 75 RR)
% Number of literals : 260 ( 259 equ; 109 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 397 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(multiply(multiply(A,B),C),inverse(multiply(A,C))) = B ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a) ).
cnf(refute_0_0,plain,
multiply(multiply(multiply(multiply(X_0,X_1),B),inverse(multiply(X_0,B))),inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))) = B,
inference(subst,[],[single_axiom:[bind(A,$fot(multiply(X_0,X_1))),bind(C,$fot(inverse(multiply(X_0,B))))]]) ).
cnf(refute_0_1,plain,
multiply(multiply(multiply(X_0,X_1),B),inverse(multiply(X_0,B))) = X_1,
inference(subst,[],[single_axiom:[bind(A,$fot(X_0)),bind(B,$fot(X_1)),bind(C,$fot(B))]]) ).
cnf(refute_0_2,plain,
( multiply(multiply(multiply(X_0,X_1),B),inverse(multiply(X_0,B))) != X_1
| multiply(multiply(multiply(multiply(X_0,X_1),B),inverse(multiply(X_0,B))),inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))) != B
| multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(X_0,X_1),B),inverse(multiply(X_0,B))),inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))),B) ),[0,0],$fot(X_1)]]) ).
cnf(refute_0_3,plain,
( multiply(multiply(multiply(multiply(X_0,X_1),B),inverse(multiply(X_0,B))),inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))) != B
| multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_0,X_1),B),inverse(multiply(X_0,B))),X_1) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_0,X_1),B),inverse(multiply(X_0,B))),inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))),B) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))),C),inverse(multiply(multiply(multiply(X_0,X_1),X_2),C))) = inverse(multiply(X_0,X_2)),
inference(subst,[],[single_axiom:[bind(A,$fot(multiply(multiply(X_0,X_1),X_2))),bind(B,$fot(inverse(multiply(X_0,X_2))))]]) ).
cnf(refute_0_6,plain,
multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))) = X_1,
inference(subst,[],[single_axiom:[bind(A,$fot(X_0)),bind(B,$fot(X_1)),bind(C,$fot(X_2))]]) ).
cnf(refute_0_7,plain,
( multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))) != X_1
| multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))),C),inverse(multiply(multiply(multiply(X_0,X_1),X_2),C))) != inverse(multiply(X_0,X_2))
| multiply(multiply(X_1,C),inverse(multiply(multiply(multiply(X_0,X_1),X_2),C))) = inverse(multiply(X_0,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))),C),inverse(multiply(multiply(multiply(X_0,X_1),X_2),C))),inverse(multiply(X_0,X_2))) ),[0,0,0],$fot(X_1)]]) ).
cnf(refute_0_8,plain,
( multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))),C),inverse(multiply(multiply(multiply(X_0,X_1),X_2),C))) != inverse(multiply(X_0,X_2))
| multiply(multiply(X_1,C),inverse(multiply(multiply(multiply(X_0,X_1),X_2),C))) = inverse(multiply(X_0,X_2)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))),X_1) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(multiply(X_1,C),inverse(multiply(multiply(multiply(X_0,X_1),X_2),C))) = inverse(multiply(X_0,X_2)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))),C),inverse(multiply(multiply(multiply(X_0,X_1),X_2),C))),inverse(multiply(X_0,X_2))) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
multiply(multiply(X_1,inverse(X_12)),inverse(multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),X_1),inverse(multiply(X_11,X_13))),inverse(X_12)))) = inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))),
inference(subst,[],[refute_0_9:[bind(C,$fot(inverse(X_12))),bind(X_0,$fot(multiply(multiply(X_11,X_12),X_13))),bind(X_2,$fot(inverse(multiply(X_11,X_13))))]]) ).
cnf(refute_0_11,plain,
multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),B),inverse(multiply(X_0,X_2))),inverse(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))))) = B,
inference(subst,[],[single_axiom:[bind(A,$fot(multiply(multiply(X_0,X_1),X_2))),bind(C,$fot(inverse(multiply(X_0,X_2))))]]) ).
cnf(refute_0_12,plain,
( multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))) != X_1
| multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),B),inverse(multiply(X_0,X_2))),inverse(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))))) != B
| multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),B),inverse(multiply(X_0,X_2))),inverse(X_1)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),B),inverse(multiply(X_0,X_2))),inverse(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))))),B) ),[0,1,0],$fot(X_1)]]) ).
cnf(refute_0_13,plain,
( multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),B),inverse(multiply(X_0,X_2))),inverse(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))))) != B
| multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),B),inverse(multiply(X_0,X_2))),inverse(X_1)) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))),X_1) )],[refute_0_6,refute_0_12]) ).
cnf(refute_0_14,plain,
multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),B),inverse(multiply(X_0,X_2))),inverse(X_1)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),B),inverse(multiply(X_0,X_2))),inverse(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))))),B) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),X_1),inverse(multiply(X_11,X_13))),inverse(X_12)) = X_1,
inference(subst,[],[refute_0_14:[bind(B,$fot(X_1)),bind(X_0,$fot(X_11)),bind(X_1,$fot(X_12)),bind(X_2,$fot(X_13))]]) ).
cnf(refute_0_16,plain,
( multiply(multiply(X_1,inverse(X_12)),inverse(multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),X_1),inverse(multiply(X_11,X_13))),inverse(X_12)))) != inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))
| multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),X_1),inverse(multiply(X_11,X_13))),inverse(X_12)) != X_1
| multiply(multiply(X_1,inverse(X_12)),inverse(X_1)) = inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_1,inverse(X_12)),inverse(multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),X_1),inverse(multiply(X_11,X_13))),inverse(X_12)))),inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))) ),[0,1,0],$fot(X_1)]]) ).
cnf(refute_0_17,plain,
( multiply(multiply(X_1,inverse(X_12)),inverse(multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),X_1),inverse(multiply(X_11,X_13))),inverse(X_12)))) != inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))
| multiply(multiply(X_1,inverse(X_12)),inverse(X_1)) = inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),X_1),inverse(multiply(X_11,X_13))),inverse(X_12)),X_1) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
multiply(multiply(X_1,inverse(X_12)),inverse(X_1)) = inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,inverse(X_12)),inverse(multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),X_1),inverse(multiply(X_11,X_13))),inverse(X_12)))),inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))) )],[refute_0_10,refute_0_17]) ).
cnf(refute_0_19,plain,
multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))) = X_12,
inference(subst,[],[single_axiom:[bind(A,$fot(X_11)),bind(B,$fot(X_12)),bind(C,$fot(X_13))]]) ).
cnf(refute_0_20,plain,
inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))) = inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))))]]) ).
cnf(refute_0_21,plain,
( multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))) != X_12
| inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))) != inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))
| inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))) = inverse(X_12) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))),inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))) ),[1,0],$fot(X_12)]]) ).
cnf(refute_0_22,plain,
( multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))) != X_12
| inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))),inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))) = inverse(X_12),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))),X_12) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
( multiply(multiply(X_1,inverse(X_12)),inverse(X_1)) != inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))
| inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))) != inverse(X_12)
| multiply(multiply(X_1,inverse(X_12)),inverse(X_1)) = inverse(X_12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_1,inverse(X_12)),inverse(X_1)),inverse(X_12)) ),[0],$fot(inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))))]]) ).
cnf(refute_0_25,plain,
( multiply(multiply(X_1,inverse(X_12)),inverse(X_1)) != inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))
| multiply(multiply(X_1,inverse(X_12)),inverse(X_1)) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))),inverse(X_12)) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
multiply(multiply(X_1,inverse(X_12)),inverse(X_1)) = inverse(X_12),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,inverse(X_12)),inverse(X_1)),inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))) )],[refute_0_18,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(multiply(multiply(multiply(A,B),C),inverse(multiply(A,C))),inverse(multiply(multiply(A,B),C))) = inverse(multiply(A,C)),
inference(subst,[],[refute_0_26:[bind(X_1,$fot(multiply(multiply(A,B),C))),bind(X_12,$fot(multiply(A,C)))]]) ).
cnf(refute_0_28,plain,
( multiply(multiply(multiply(A,B),C),inverse(multiply(A,C))) != B
| multiply(multiply(multiply(multiply(A,B),C),inverse(multiply(A,C))),inverse(multiply(multiply(A,B),C))) != inverse(multiply(A,C))
| multiply(B,inverse(multiply(multiply(A,B),C))) = inverse(multiply(A,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(A,B),C),inverse(multiply(A,C))),inverse(multiply(multiply(A,B),C))),inverse(multiply(A,C))) ),[0,0],$fot(B)]]) ).
cnf(refute_0_29,plain,
( multiply(multiply(multiply(multiply(A,B),C),inverse(multiply(A,C))),inverse(multiply(multiply(A,B),C))) != inverse(multiply(A,C))
| multiply(B,inverse(multiply(multiply(A,B),C))) = inverse(multiply(A,C)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(A,B),C),inverse(multiply(A,C))),B) )],[single_axiom,refute_0_28]) ).
cnf(refute_0_30,plain,
multiply(B,inverse(multiply(multiply(A,B),C))) = inverse(multiply(A,C)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(A,B),C),inverse(multiply(A,C))),inverse(multiply(multiply(A,B),C))),inverse(multiply(A,C))) )],[refute_0_27,refute_0_29]) ).
cnf(refute_0_31,plain,
multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))) = inverse(multiply(X_0,inverse(multiply(X_0,B)))),
inference(subst,[],[refute_0_30:[bind(A,$fot(X_0)),bind(B,$fot(X_1)),bind(C,$fot(inverse(multiply(X_0,B))))]]) ).
cnf(refute_0_32,plain,
( multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))) != B
| multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))) != inverse(multiply(X_0,inverse(multiply(X_0,B))))
| inverse(multiply(X_0,inverse(multiply(X_0,B)))) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))),B) ),[0],$fot(inverse(multiply(X_0,inverse(multiply(X_0,B)))))]]) ).
cnf(refute_0_33,plain,
( multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))) != B
| inverse(multiply(X_0,inverse(multiply(X_0,B)))) = B ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))),inverse(multiply(X_0,inverse(multiply(X_0,B))))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
inverse(multiply(X_0,inverse(multiply(X_0,B)))) = B,
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))),B) )],[refute_0_4,refute_0_33]) ).
cnf(refute_0_35,plain,
multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))))))) = inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),
inference(subst,[],[refute_0_4:[bind(B,$fot(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))))]]) ).
cnf(refute_0_36,plain,
multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))) = X_3,
inference(subst,[],[refute_0_4:[bind(B,$fot(X_3)),bind(X_0,$fot(X_4)),bind(X_1,$fot(X_0))]]) ).
cnf(refute_0_37,plain,
( multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))) != X_3
| multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))))))) != inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))
| multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))) = inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))))))),inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))) ),[0,1,0,1,0],$fot(X_3)]]) ).
cnf(refute_0_38,plain,
( multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))))))) != inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))
| multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))) = inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))) ),
inference(resolve,[$cnf( $equal(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))),X_3) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))) = inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))))))),inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))) = inverse(multiply(X_0,inverse(X_3))),
inference(subst,[],[refute_0_30:[bind(A,$fot(X_0)),bind(B,$fot(X_1)),bind(C,$fot(inverse(X_3)))]]) ).
cnf(refute_0_41,plain,
( multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))) != inverse(multiply(X_0,inverse(X_3)))
| multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))) != inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))
| inverse(multiply(X_0,inverse(X_3))) = inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))),inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))) ),[0],$fot(inverse(multiply(X_0,inverse(X_3))))]]) ).
cnf(refute_0_42,plain,
( multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))) != inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))
| inverse(multiply(X_0,inverse(X_3))) = inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))) ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))),inverse(multiply(X_0,inverse(X_3)))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))),inverse(X_14)) = inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B)))),
inference(subst,[],[refute_0_26:[bind(X_1,$fot(X_14)),bind(X_12,$fot(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B)))))]]) ).
cnf(refute_0_44,plain,
multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))) = B,
inference(subst,[],[refute_0_4:[bind(X_1,$fot(X_14))]]) ).
cnf(refute_0_45,plain,
( multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))) != B
| multiply(multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))),inverse(X_14)) != inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))
| multiply(B,inverse(X_14)) = inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))),inverse(X_14)),inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))) ),[0,0],$fot(B)]]) ).
cnf(refute_0_46,plain,
( multiply(multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))),inverse(X_14)) != inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))
| multiply(B,inverse(X_14)) = inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B)))) ),
inference(resolve,[$cnf( $equal(multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))),B) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(B,inverse(X_14)) = inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))),inverse(X_14)),inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_49,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_50,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( multiply(B,inverse(X_14)) != inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))
| inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B)))) = multiply(B,inverse(X_14)) ),
inference(subst,[],[refute_0_50:[bind(X,$fot(multiply(B,inverse(X_14)))),bind(Y,$fot(inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))))]]) ).
cnf(refute_0_52,plain,
inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B)))) = multiply(B,inverse(X_14)),
inference(resolve,[$cnf( $equal(multiply(B,inverse(X_14)),inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))) )],[refute_0_47,refute_0_51]) ).
cnf(refute_0_53,plain,
inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))) = multiply(X_3,inverse(X_0)),
inference(subst,[],[refute_0_52:[bind(B,$fot(X_3)),bind(X_0,$fot(X_4)),bind(X_14,$fot(X_0))]]) ).
cnf(refute_0_54,plain,
( inverse(multiply(X_0,inverse(X_3))) != inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))
| inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))) != multiply(X_3,inverse(X_0))
| inverse(multiply(X_0,inverse(X_3))) = multiply(X_3,inverse(X_0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(multiply(X_0,inverse(X_3))),multiply(X_3,inverse(X_0))) ),[0],$fot(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))))]]) ).
cnf(refute_0_55,plain,
( inverse(multiply(X_0,inverse(X_3))) != inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))
| inverse(multiply(X_0,inverse(X_3))) = multiply(X_3,inverse(X_0)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),multiply(X_3,inverse(X_0))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
( multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))) != inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))
| inverse(multiply(X_0,inverse(X_3))) = multiply(X_3,inverse(X_0)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_0,inverse(X_3))),inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))) )],[refute_0_42,refute_0_55]) ).
cnf(refute_0_57,plain,
inverse(multiply(X_0,inverse(X_3))) = multiply(X_3,inverse(X_0)),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))),inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))) )],[refute_0_39,refute_0_56]) ).
cnf(refute_0_58,plain,
inverse(multiply(X_0,inverse(multiply(X_0,B)))) = multiply(multiply(X_0,B),inverse(X_0)),
inference(subst,[],[refute_0_57:[bind(X_3,$fot(multiply(X_0,B)))]]) ).
cnf(refute_0_59,plain,
( inverse(multiply(X_0,inverse(multiply(X_0,B)))) != B
| inverse(multiply(X_0,inverse(multiply(X_0,B)))) != multiply(multiply(X_0,B),inverse(X_0))
| multiply(multiply(X_0,B),inverse(X_0)) = B ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_0,inverse(multiply(X_0,B)))),B) ),[0],$fot(multiply(multiply(X_0,B),inverse(X_0)))]]) ).
cnf(refute_0_60,plain,
( inverse(multiply(X_0,inverse(multiply(X_0,B)))) != B
| multiply(multiply(X_0,B),inverse(X_0)) = B ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_0,inverse(multiply(X_0,B)))),multiply(multiply(X_0,B),inverse(X_0))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
multiply(multiply(X_0,B),inverse(X_0)) = B,
inference(resolve,[$cnf( $equal(inverse(multiply(X_0,inverse(multiply(X_0,B)))),B) )],[refute_0_34,refute_0_60]) ).
cnf(refute_0_62,plain,
multiply(multiply(multiply(X_17,X_16),inverse(X_17)),inverse(multiply(X_17,X_16))) = inverse(X_17),
inference(subst,[],[refute_0_61:[bind(B,$fot(inverse(X_17))),bind(X_0,$fot(multiply(X_17,X_16)))]]) ).
cnf(refute_0_63,plain,
multiply(multiply(X_17,X_16),inverse(X_17)) = X_16,
inference(subst,[],[refute_0_61:[bind(B,$fot(X_16)),bind(X_0,$fot(X_17))]]) ).
cnf(refute_0_64,plain,
( multiply(multiply(X_17,X_16),inverse(X_17)) != X_16
| multiply(multiply(multiply(X_17,X_16),inverse(X_17)),inverse(multiply(X_17,X_16))) != inverse(X_17)
| multiply(X_16,inverse(multiply(X_17,X_16))) = inverse(X_17) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_17,X_16),inverse(X_17)),inverse(multiply(X_17,X_16))),inverse(X_17)) ),[0,0],$fot(X_16)]]) ).
cnf(refute_0_65,plain,
( multiply(multiply(multiply(X_17,X_16),inverse(X_17)),inverse(multiply(X_17,X_16))) != inverse(X_17)
| multiply(X_16,inverse(multiply(X_17,X_16))) = inverse(X_17) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_17,X_16),inverse(X_17)),X_16) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
multiply(X_16,inverse(multiply(X_17,X_16))) = inverse(X_17),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_17,X_16),inverse(X_17)),inverse(multiply(X_17,X_16))),inverse(X_17)) )],[refute_0_62,refute_0_65]) ).
cnf(refute_0_67,plain,
multiply(inverse(multiply(X_19,X_17)),inverse(multiply(X_17,inverse(multiply(X_19,X_17))))) = inverse(X_17),
inference(subst,[],[refute_0_66:[bind(X_16,$fot(inverse(multiply(X_19,X_17))))]]) ).
cnf(refute_0_68,plain,
multiply(X_17,inverse(multiply(X_19,X_17))) = inverse(X_19),
inference(subst,[],[refute_0_66:[bind(X_16,$fot(X_17)),bind(X_17,$fot(X_19))]]) ).
cnf(refute_0_69,plain,
( multiply(X_17,inverse(multiply(X_19,X_17))) != inverse(X_19)
| multiply(inverse(multiply(X_19,X_17)),inverse(multiply(X_17,inverse(multiply(X_19,X_17))))) != inverse(X_17)
| multiply(inverse(multiply(X_19,X_17)),inverse(inverse(X_19))) = inverse(X_17) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_19,X_17)),inverse(multiply(X_17,inverse(multiply(X_19,X_17))))),inverse(X_17)) ),[0,1,0],$fot(inverse(X_19))]]) ).
cnf(refute_0_70,plain,
( multiply(inverse(multiply(X_19,X_17)),inverse(multiply(X_17,inverse(multiply(X_19,X_17))))) != inverse(X_17)
| multiply(inverse(multiply(X_19,X_17)),inverse(inverse(X_19))) = inverse(X_17) ),
inference(resolve,[$cnf( $equal(multiply(X_17,inverse(multiply(X_19,X_17))),inverse(X_19)) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(inverse(multiply(X_19,X_17)),inverse(inverse(X_19))) = inverse(X_17),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_19,X_17)),inverse(multiply(X_17,inverse(multiply(X_19,X_17))))),inverse(X_17)) )],[refute_0_67,refute_0_70]) ).
cnf(refute_0_72,plain,
inverse(multiply(multiply(X_19,X_17),inverse(X_19))) = multiply(X_19,inverse(multiply(X_19,X_17))),
inference(subst,[],[refute_0_57:[bind(X_0,$fot(multiply(X_19,X_17))),bind(X_3,$fot(X_19))]]) ).
cnf(refute_0_73,plain,
multiply(multiply(multiply(multiply(multiply(X_0,X_1),inverse(X_15)),inverse(multiply(X_0,X_1))),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) = inverse(multiply(X_0,X_1)),
inference(subst,[],[refute_0_14:[bind(B,$fot(inverse(multiply(X_0,X_1)))),bind(X_2,$fot(inverse(X_15)))]]) ).
cnf(refute_0_74,plain,
multiply(multiply(multiply(X_0,X_1),inverse(X_15)),inverse(multiply(X_0,X_1))) = inverse(X_15),
inference(subst,[],[refute_0_26:[bind(X_1,$fot(multiply(X_0,X_1))),bind(X_12,$fot(X_15))]]) ).
cnf(refute_0_75,plain,
( multiply(multiply(multiply(X_0,X_1),inverse(X_15)),inverse(multiply(X_0,X_1))) != inverse(X_15)
| multiply(multiply(multiply(multiply(multiply(X_0,X_1),inverse(X_15)),inverse(multiply(X_0,X_1))),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) != inverse(multiply(X_0,X_1))
| multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) = inverse(multiply(X_0,X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_0,X_1),inverse(X_15)),inverse(multiply(X_0,X_1))),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)),inverse(multiply(X_0,X_1))) ),[0,0,0],$fot(inverse(X_15))]]) ).
cnf(refute_0_76,plain,
( multiply(multiply(multiply(multiply(multiply(X_0,X_1),inverse(X_15)),inverse(multiply(X_0,X_1))),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) != inverse(multiply(X_0,X_1))
| multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) = inverse(multiply(X_0,X_1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_0,X_1),inverse(X_15)),inverse(multiply(X_0,X_1))),inverse(X_15)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) = inverse(multiply(X_0,X_1)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_0,X_1),inverse(X_15)),inverse(multiply(X_0,X_1))),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)),inverse(multiply(X_0,X_1))) )],[refute_0_73,refute_0_76]) ).
cnf(refute_0_78,plain,
multiply(multiply(multiply(X_12,inverse(X_15)),inverse(X_12)),inverse(multiply(X_12,inverse(X_15)))) = inverse(X_12),
inference(subst,[],[refute_0_26:[bind(X_1,$fot(multiply(X_12,inverse(X_15))))]]) ).
cnf(refute_0_79,plain,
multiply(multiply(X_12,inverse(X_15)),inverse(X_12)) = inverse(X_15),
inference(subst,[],[refute_0_26:[bind(X_1,$fot(X_12)),bind(X_12,$fot(X_15))]]) ).
cnf(refute_0_80,plain,
( multiply(multiply(X_12,inverse(X_15)),inverse(X_12)) != inverse(X_15)
| multiply(multiply(multiply(X_12,inverse(X_15)),inverse(X_12)),inverse(multiply(X_12,inverse(X_15)))) != inverse(X_12)
| multiply(inverse(X_15),inverse(multiply(X_12,inverse(X_15)))) = inverse(X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_12,inverse(X_15)),inverse(X_12)),inverse(multiply(X_12,inverse(X_15)))),inverse(X_12)) ),[0,0],$fot(inverse(X_15))]]) ).
cnf(refute_0_81,plain,
( multiply(multiply(multiply(X_12,inverse(X_15)),inverse(X_12)),inverse(multiply(X_12,inverse(X_15)))) != inverse(X_12)
| multiply(inverse(X_15),inverse(multiply(X_12,inverse(X_15)))) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_12,inverse(X_15)),inverse(X_12)),inverse(X_15)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
multiply(inverse(X_15),inverse(multiply(X_12,inverse(X_15)))) = inverse(X_12),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_12,inverse(X_15)),inverse(X_12)),inverse(multiply(X_12,inverse(X_15)))),inverse(X_12)) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))) = inverse(X_0),
inference(subst,[],[refute_0_82:[bind(X_12,$fot(X_0))]]) ).
cnf(refute_0_84,plain,
multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) = multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)))]]) ).
cnf(refute_0_85,plain,
( multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) != multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1))
| multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))) != inverse(X_0)
| multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) = multiply(inverse(X_0),inverse(X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)),multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1))) ),[1,0],$fot(inverse(X_0))]]) ).
cnf(refute_0_86,plain,
( multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))) != inverse(X_0)
| multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) = multiply(inverse(X_0),inverse(X_1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)),multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) = multiply(inverse(X_0),inverse(X_1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_0)) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
( multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) != multiply(inverse(X_0),inverse(X_1))
| multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) != inverse(multiply(X_0,X_1))
| multiply(inverse(X_0),inverse(X_1)) = inverse(multiply(X_0,X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)),inverse(multiply(X_0,X_1))) ),[0],$fot(multiply(inverse(X_0),inverse(X_1)))]]) ).
cnf(refute_0_89,plain,
( multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) != inverse(multiply(X_0,X_1))
| multiply(inverse(X_0),inverse(X_1)) = inverse(multiply(X_0,X_1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)),multiply(inverse(X_0),inverse(X_1))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
multiply(inverse(X_0),inverse(X_1)) = inverse(multiply(X_0,X_1)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)),inverse(multiply(X_0,X_1))) )],[refute_0_77,refute_0_89]) ).
cnf(refute_0_91,plain,
multiply(inverse(multiply(X_19,X_17)),inverse(inverse(X_19))) = inverse(multiply(multiply(X_19,X_17),inverse(X_19))),
inference(subst,[],[refute_0_90:[bind(X_0,$fot(multiply(X_19,X_17))),bind(X_1,$fot(inverse(X_19)))]]) ).
cnf(refute_0_92,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_93,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_50,refute_0_92]) ).
cnf(refute_0_94,plain,
( multiply(inverse(multiply(X_19,X_17)),inverse(inverse(X_19))) != inverse(multiply(multiply(X_19,X_17),inverse(X_19)))
| inverse(multiply(multiply(X_19,X_17),inverse(X_19))) != multiply(X_19,inverse(multiply(X_19,X_17)))
| multiply(inverse(multiply(X_19,X_17)),inverse(inverse(X_19))) = multiply(X_19,inverse(multiply(X_19,X_17))) ),
inference(subst,[],[refute_0_93:[bind(X,$fot(multiply(inverse(multiply(X_19,X_17)),inverse(inverse(X_19))))),bind(Y,$fot(inverse(multiply(multiply(X_19,X_17),inverse(X_19))))),bind(Z,$fot(multiply(X_19,inverse(multiply(X_19,X_17)))))]]) ).
cnf(refute_0_95,plain,
( inverse(multiply(multiply(X_19,X_17),inverse(X_19))) != multiply(X_19,inverse(multiply(X_19,X_17)))
| multiply(inverse(multiply(X_19,X_17)),inverse(inverse(X_19))) = multiply(X_19,inverse(multiply(X_19,X_17))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_19,X_17)),inverse(inverse(X_19))),inverse(multiply(multiply(X_19,X_17),inverse(X_19)))) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
multiply(inverse(multiply(X_19,X_17)),inverse(inverse(X_19))) = multiply(X_19,inverse(multiply(X_19,X_17))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_19,X_17),inverse(X_19))),multiply(X_19,inverse(multiply(X_19,X_17)))) )],[refute_0_72,refute_0_95]) ).
cnf(refute_0_97,plain,
( multiply(inverse(multiply(X_19,X_17)),inverse(inverse(X_19))) != multiply(X_19,inverse(multiply(X_19,X_17)))
| multiply(inverse(multiply(X_19,X_17)),inverse(inverse(X_19))) != inverse(X_17)
| multiply(X_19,inverse(multiply(X_19,X_17))) = inverse(X_17) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_19,X_17)),inverse(inverse(X_19))),inverse(X_17)) ),[0],$fot(multiply(X_19,inverse(multiply(X_19,X_17))))]]) ).
cnf(refute_0_98,plain,
( multiply(inverse(multiply(X_19,X_17)),inverse(inverse(X_19))) != inverse(X_17)
| multiply(X_19,inverse(multiply(X_19,X_17))) = inverse(X_17) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_19,X_17)),inverse(inverse(X_19))),multiply(X_19,inverse(multiply(X_19,X_17)))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
multiply(X_19,inverse(multiply(X_19,X_17))) = inverse(X_17),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_19,X_17)),inverse(inverse(X_19))),inverse(X_17)) )],[refute_0_71,refute_0_98]) ).
cnf(refute_0_100,plain,
multiply(X_21,inverse(multiply(X_21,inverse(multiply(X_17,X_21))))) = inverse(inverse(multiply(X_17,X_21))),
inference(subst,[],[refute_0_99:[bind(X_17,$fot(inverse(multiply(X_17,X_21)))),bind(X_19,$fot(X_21))]]) ).
cnf(refute_0_101,plain,
multiply(X_21,inverse(multiply(X_17,X_21))) = inverse(X_17),
inference(subst,[],[refute_0_66:[bind(X_16,$fot(X_21))]]) ).
cnf(refute_0_102,plain,
( multiply(X_21,inverse(multiply(X_17,X_21))) != inverse(X_17)
| multiply(X_21,inverse(multiply(X_21,inverse(multiply(X_17,X_21))))) != inverse(inverse(multiply(X_17,X_21)))
| multiply(X_21,inverse(inverse(X_17))) = inverse(inverse(multiply(X_17,X_21))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_21,inverse(multiply(X_21,inverse(multiply(X_17,X_21))))),inverse(inverse(multiply(X_17,X_21)))) ),[0,1,0],$fot(inverse(X_17))]]) ).
cnf(refute_0_103,plain,
( multiply(X_21,inverse(multiply(X_21,inverse(multiply(X_17,X_21))))) != inverse(inverse(multiply(X_17,X_21)))
| multiply(X_21,inverse(inverse(X_17))) = inverse(inverse(multiply(X_17,X_21))) ),
inference(resolve,[$cnf( $equal(multiply(X_21,inverse(multiply(X_17,X_21))),inverse(X_17)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
multiply(X_21,inverse(inverse(X_17))) = inverse(inverse(multiply(X_17,X_21))),
inference(resolve,[$cnf( $equal(multiply(X_21,inverse(multiply(X_21,inverse(multiply(X_17,X_21))))),inverse(inverse(multiply(X_17,X_21)))) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
multiply(X_19,inverse(multiply(X_19,inverse(multiply(X_19,X_20))))) = inverse(inverse(multiply(X_19,X_20))),
inference(subst,[],[refute_0_99:[bind(X_17,$fot(inverse(multiply(X_19,X_20))))]]) ).
cnf(refute_0_106,plain,
multiply(X_19,inverse(multiply(X_19,X_20))) = inverse(X_20),
inference(subst,[],[refute_0_99:[bind(X_17,$fot(X_20))]]) ).
cnf(refute_0_107,plain,
( multiply(X_19,inverse(multiply(X_19,X_20))) != inverse(X_20)
| multiply(X_19,inverse(multiply(X_19,inverse(multiply(X_19,X_20))))) != inverse(inverse(multiply(X_19,X_20)))
| multiply(X_19,inverse(inverse(X_20))) = inverse(inverse(multiply(X_19,X_20))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_19,inverse(multiply(X_19,inverse(multiply(X_19,X_20))))),inverse(inverse(multiply(X_19,X_20)))) ),[0,1,0],$fot(inverse(X_20))]]) ).
cnf(refute_0_108,plain,
( multiply(X_19,inverse(multiply(X_19,inverse(multiply(X_19,X_20))))) != inverse(inverse(multiply(X_19,X_20)))
| multiply(X_19,inverse(inverse(X_20))) = inverse(inverse(multiply(X_19,X_20))) ),
inference(resolve,[$cnf( $equal(multiply(X_19,inverse(multiply(X_19,X_20))),inverse(X_20)) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
multiply(X_19,inverse(inverse(X_20))) = inverse(inverse(multiply(X_19,X_20))),
inference(resolve,[$cnf( $equal(multiply(X_19,inverse(multiply(X_19,inverse(multiply(X_19,X_20))))),inverse(inverse(multiply(X_19,X_20)))) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
multiply(X_21,inverse(inverse(X_17))) = inverse(inverse(multiply(X_21,X_17))),
inference(subst,[],[refute_0_109:[bind(X_19,$fot(X_21)),bind(X_20,$fot(X_17))]]) ).
cnf(refute_0_111,plain,
( multiply(X_21,inverse(inverse(X_17))) != inverse(inverse(multiply(X_17,X_21)))
| multiply(X_21,inverse(inverse(X_17))) != inverse(inverse(multiply(X_21,X_17)))
| inverse(inverse(multiply(X_21,X_17))) = inverse(inverse(multiply(X_17,X_21))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_21,inverse(inverse(X_17))),inverse(inverse(multiply(X_17,X_21)))) ),[0],$fot(inverse(inverse(multiply(X_21,X_17))))]]) ).
cnf(refute_0_112,plain,
( multiply(X_21,inverse(inverse(X_17))) != inverse(inverse(multiply(X_17,X_21)))
| inverse(inverse(multiply(X_21,X_17))) = inverse(inverse(multiply(X_17,X_21))) ),
inference(resolve,[$cnf( $equal(multiply(X_21,inverse(inverse(X_17))),inverse(inverse(multiply(X_21,X_17)))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
inverse(inverse(multiply(X_21,X_17))) = inverse(inverse(multiply(X_17,X_21))),
inference(resolve,[$cnf( $equal(multiply(X_21,inverse(inverse(X_17))),inverse(inverse(multiply(X_17,X_21)))) )],[refute_0_104,refute_0_112]) ).
cnf(refute_0_114,plain,
multiply(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))),inverse(multiply(multiply(multiply(X_7,X_8),multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),inverse(multiply(multiply(X_7,X_8),B))))) = B,
inference(subst,[],[refute_0_4:[bind(X_0,$fot(multiply(X_7,X_8))),bind(X_1,$fot(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))))]]) ).
cnf(refute_0_115,plain,
multiply(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))),inverse(multiply(multiply(multiply(X_7,X_8),multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),inverse(multiply(multiply(X_7,X_8),B))))) = inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))),
inference(subst,[],[refute_0_9:[bind(C,$fot(inverse(multiply(multiply(X_7,X_8),B)))),bind(X_0,$fot(X_7)),bind(X_1,$fot(X_8)),bind(X_2,$fot(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))))]]) ).
cnf(refute_0_116,plain,
( multiply(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))),inverse(multiply(multiply(multiply(X_7,X_8),multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),inverse(multiply(multiply(X_7,X_8),B))))) != B
| multiply(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))),inverse(multiply(multiply(multiply(X_7,X_8),multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),inverse(multiply(multiply(X_7,X_8),B))))) != inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))))
| inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))),inverse(multiply(multiply(multiply(X_7,X_8),multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),inverse(multiply(multiply(X_7,X_8),B))))),B) ),[0],$fot(inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))))]]) ).
cnf(refute_0_117,plain,
( multiply(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))),inverse(multiply(multiply(multiply(X_7,X_8),multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),inverse(multiply(multiply(X_7,X_8),B))))) != B
| inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))),inverse(multiply(multiply(multiply(X_7,X_8),multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),inverse(multiply(multiply(X_7,X_8),B))))),inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))),inverse(multiply(multiply(multiply(X_7,X_8),multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),inverse(multiply(multiply(X_7,X_8),B))))),B) )],[refute_0_114,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(X_7,inverse(multiply(X_7,B))) = inverse(B),
inference(subst,[],[refute_0_99:[bind(X_17,$fot(B)),bind(X_19,$fot(X_7))]]) ).
cnf(refute_0_120,plain,
multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))) = inverse(multiply(X_7,B)),
inference(subst,[],[refute_0_30:[bind(A,$fot(X_7)),bind(B,$fot(X_8)),bind(C,$fot(B))]]) ).
cnf(refute_0_121,plain,
multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))) = multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),
introduced(tautology,[refl,[$fot(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))))]]) ).
cnf(refute_0_122,plain,
( multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))) != multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))
| multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))) != inverse(multiply(X_7,B))
| multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))) = multiply(X_7,inverse(multiply(X_7,B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))) ),[1,1],$fot(inverse(multiply(X_7,B)))]]) ).
cnf(refute_0_123,plain,
( multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))) != inverse(multiply(X_7,B))
| multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))) = multiply(X_7,inverse(multiply(X_7,B))) ),
inference(resolve,[$cnf( $equal(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))) = multiply(X_7,inverse(multiply(X_7,B))),
inference(resolve,[$cnf( $equal(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))),inverse(multiply(X_7,B))) )],[refute_0_120,refute_0_123]) ).
cnf(refute_0_125,plain,
( multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))) != multiply(X_7,inverse(multiply(X_7,B)))
| multiply(X_7,inverse(multiply(X_7,B))) != inverse(B)
| multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))) = inverse(B) ),
inference(subst,[],[refute_0_93:[bind(X,$fot(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))))),bind(Y,$fot(multiply(X_7,inverse(multiply(X_7,B))))),bind(Z,$fot(inverse(B)))]]) ).
cnf(refute_0_126,plain,
( multiply(X_7,inverse(multiply(X_7,B))) != inverse(B)
| multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))) = inverse(B) ),
inference(resolve,[$cnf( $equal(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),multiply(X_7,inverse(multiply(X_7,B)))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))) = inverse(B),
inference(resolve,[$cnf( $equal(multiply(X_7,inverse(multiply(X_7,B))),inverse(B)) )],[refute_0_119,refute_0_126]) ).
cnf(refute_0_128,plain,
inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))) = inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))))]]) ).
cnf(refute_0_129,plain,
( multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))) != inverse(B)
| inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))) != inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))))
| inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))) = inverse(inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))),inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))))) ),[1,0],$fot(inverse(B))]]) ).
cnf(refute_0_130,plain,
( multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))) != inverse(B)
| inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))) = inverse(inverse(B)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))),inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))) = inverse(inverse(B)),
inference(resolve,[$cnf( $equal(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),inverse(B)) )],[refute_0_127,refute_0_130]) ).
cnf(refute_0_132,plain,
( inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))) != B
| inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))) != inverse(inverse(B))
| inverse(inverse(B)) = B ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))),B) ),[0],$fot(inverse(inverse(B)))]]) ).
cnf(refute_0_133,plain,
( inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))) != B
| inverse(inverse(B)) = B ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))),inverse(inverse(B))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
inverse(inverse(B)) = B,
inference(resolve,[$cnf( $equal(inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))),B) )],[refute_0_118,refute_0_133]) ).
cnf(refute_0_135,plain,
inverse(inverse(multiply(X_21,X_17))) = multiply(X_21,X_17),
inference(subst,[],[refute_0_134:[bind(B,$fot(multiply(X_21,X_17)))]]) ).
cnf(refute_0_136,plain,
( inverse(inverse(multiply(X_21,X_17))) != multiply(X_21,X_17)
| inverse(inverse(multiply(X_21,X_17))) != inverse(inverse(multiply(X_17,X_21)))
| multiply(X_21,X_17) = inverse(inverse(multiply(X_17,X_21))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_21,X_17))),inverse(inverse(multiply(X_17,X_21)))) ),[0],$fot(multiply(X_21,X_17))]]) ).
cnf(refute_0_137,plain,
( inverse(inverse(multiply(X_21,X_17))) != inverse(inverse(multiply(X_17,X_21)))
| multiply(X_21,X_17) = inverse(inverse(multiply(X_17,X_21))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_21,X_17))),multiply(X_21,X_17)) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
inverse(inverse(multiply(X_17,X_21))) = multiply(X_17,X_21),
inference(subst,[],[refute_0_134:[bind(B,$fot(multiply(X_17,X_21)))]]) ).
cnf(refute_0_139,plain,
( multiply(X_21,X_17) != inverse(inverse(multiply(X_17,X_21)))
| inverse(inverse(multiply(X_17,X_21))) != multiply(X_17,X_21)
| multiply(X_21,X_17) = multiply(X_17,X_21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_21,X_17),multiply(X_17,X_21)) ),[0],$fot(inverse(inverse(multiply(X_17,X_21))))]]) ).
cnf(refute_0_140,plain,
( multiply(X_21,X_17) != inverse(inverse(multiply(X_17,X_21)))
| multiply(X_21,X_17) = multiply(X_17,X_21) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_17,X_21))),multiply(X_17,X_21)) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
( inverse(inverse(multiply(X_21,X_17))) != inverse(inverse(multiply(X_17,X_21)))
| multiply(X_21,X_17) = multiply(X_17,X_21) ),
inference(resolve,[$cnf( $equal(multiply(X_21,X_17),inverse(inverse(multiply(X_17,X_21)))) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
multiply(X_21,X_17) = multiply(X_17,X_21),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_21,X_17))),inverse(inverse(multiply(X_17,X_21)))) )],[refute_0_113,refute_0_141]) ).
cnf(refute_0_143,plain,
( multiply(X_21,X_17) != multiply(X_17,X_21)
| multiply(X_17,X_21) = multiply(X_21,X_17) ),
inference(subst,[],[refute_0_50:[bind(X,$fot(multiply(X_21,X_17))),bind(Y,$fot(multiply(X_17,X_21)))]]) ).
cnf(refute_0_144,plain,
multiply(X_17,X_21) = multiply(X_21,X_17),
inference(resolve,[$cnf( $equal(multiply(X_21,X_17),multiply(X_17,X_21)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
multiply(b,a) = multiply(a,b),
inference(subst,[],[refute_0_144:[bind(X_17,$fot(b)),bind(X_21,$fot(a))]]) ).
cnf(refute_0_146,plain,
( multiply(a,b) != multiply(a,b)
| multiply(b,a) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,b),multiply(b,a)) ),[1],$fot(multiply(a,b))]]) ).
cnf(refute_0_147,plain,
( multiply(a,b) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(b,a),multiply(a,b)) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
multiply(a,b) != multiply(a,b),
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(b,a)) )],[refute_0_147,prove_these_axioms_4]) ).
cnf(refute_0_149,plain,
multiply(a,b) = multiply(a,b),
introduced(tautology,[refl,[$fot(multiply(a,b))]]) ).
cnf(refute_0_150,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(a,b)) )],[refute_0_149,refute_0_148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GRP512-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.08/0.09 % Command : metis --show proof --show saturation %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Mon Jun 13 06:13:41 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.09/0.29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35
% 0.14/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.14/0.38
%------------------------------------------------------------------------------