TSTP Solution File: GRP509-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP509-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 10:42:02 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 72
% Syntax : Number of clauses : 310 ( 159 unt; 0 nHn; 156 RR)
% Number of literals : 531 ( 530 equ; 224 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 : 905 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(multiply(multiply(A,B),C),inverse(multiply(A,C))) = B ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ).
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( $equal(multiply(inverse(multiply(X_19,X_17)),inverse(inverse(X_19))),inverse(X_17)) )],[refute_0_71,refute_0_98]) ).
cnf(refute_0_100,plain,
multiply(multiply(X_0,B),inverse(multiply(multiply(X_0,B),inverse(X_0)))) = inverse(inverse(X_0)),
inference(subst,[],[refute_0_99:[bind(X_17,$fot(inverse(X_0))),bind(X_19,$fot(multiply(X_0,B)))]]) ).
cnf(refute_0_101,plain,
( multiply(multiply(X_0,B),inverse(X_0)) != B
| multiply(multiply(X_0,B),inverse(multiply(multiply(X_0,B),inverse(X_0)))) != inverse(inverse(X_0))
| multiply(multiply(X_0,B),inverse(B)) = inverse(inverse(X_0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_0,B),inverse(multiply(multiply(X_0,B),inverse(X_0)))),inverse(inverse(X_0))) ),[0,1,0],$fot(B)]]) ).
cnf(refute_0_102,plain,
( multiply(multiply(X_0,B),inverse(multiply(multiply(X_0,B),inverse(X_0)))) != inverse(inverse(X_0))
| multiply(multiply(X_0,B),inverse(B)) = inverse(inverse(X_0)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,B),inverse(X_0)),B) )],[refute_0_61,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(multiply(X_0,B),inverse(B)) = inverse(inverse(X_0)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,B),inverse(multiply(multiply(X_0,B),inverse(X_0)))),inverse(inverse(X_0))) )],[refute_0_100,refute_0_102]) ).
cnf(refute_0_104,plain,
multiply(multiply(multiply(X_0,B),inverse(X_0)),inverse(inverse(X_0))) = inverse(inverse(multiply(X_0,B))),
inference(subst,[],[refute_0_103:[bind(B,$fot(inverse(X_0))),bind(X_0,$fot(multiply(X_0,B)))]]) ).
cnf(refute_0_105,plain,
( multiply(multiply(X_0,B),inverse(X_0)) != B
| multiply(multiply(multiply(X_0,B),inverse(X_0)),inverse(inverse(X_0))) != inverse(inverse(multiply(X_0,B)))
| multiply(B,inverse(inverse(X_0))) = inverse(inverse(multiply(X_0,B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_0,B),inverse(X_0)),inverse(inverse(X_0))),inverse(inverse(multiply(X_0,B)))) ),[0,0],$fot(B)]]) ).
cnf(refute_0_106,plain,
( multiply(multiply(multiply(X_0,B),inverse(X_0)),inverse(inverse(X_0))) != inverse(inverse(multiply(X_0,B)))
| multiply(B,inverse(inverse(X_0))) = inverse(inverse(multiply(X_0,B))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,B),inverse(X_0)),B) )],[refute_0_61,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(B,inverse(inverse(X_0))) = inverse(inverse(multiply(X_0,B))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_0,B),inverse(X_0)),inverse(inverse(X_0))),inverse(inverse(multiply(X_0,B)))) )],[refute_0_104,refute_0_106]) ).
cnf(refute_0_108,plain,
multiply(multiply(X_0,X_0),inverse(X_0)) = X_0,
inference(subst,[],[refute_0_61:[bind(B,$fot(X_0))]]) ).
cnf(refute_0_109,plain,
multiply(multiply(X_0,X_0),inverse(X_0)) = inverse(inverse(X_0)),
inference(subst,[],[refute_0_103:[bind(B,$fot(X_0))]]) ).
cnf(refute_0_110,plain,
( multiply(multiply(X_0,X_0),inverse(X_0)) != X_0
| multiply(multiply(X_0,X_0),inverse(X_0)) != inverse(inverse(X_0))
| inverse(inverse(X_0)) = X_0 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_0,X_0),inverse(X_0)),X_0) ),[0],$fot(inverse(inverse(X_0)))]]) ).
cnf(refute_0_111,plain,
( multiply(multiply(X_0,X_0),inverse(X_0)) != X_0
| inverse(inverse(X_0)) = X_0 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,X_0),inverse(X_0)),inverse(inverse(X_0))) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
inverse(inverse(X_0)) = X_0,
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,X_0),inverse(X_0)),X_0) )],[refute_0_108,refute_0_111]) ).
cnf(refute_0_113,plain,
inverse(inverse(multiply(B,X_0))) = multiply(B,X_0),
inference(subst,[],[refute_0_112:[bind(X_0,$fot(multiply(B,X_0)))]]) ).
cnf(refute_0_114,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,$fot(inverse(multiply(X_19,X_20))))]]) ).
cnf(refute_0_115,plain,
multiply(X_19,inverse(multiply(X_19,X_20))) = inverse(X_20),
inference(subst,[],[refute_0_99:[bind(X_17,$fot(X_20))]]) ).
cnf(refute_0_116,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_117,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( $equal(multiply(X_19,inverse(multiply(X_19,X_20))),inverse(X_20)) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(X_19,inverse(inverse(X_20))) = inverse(inverse(multiply(X_19,X_20))),
inference(resolve,[$cnf( $equal(multiply(X_19,inverse(multiply(X_19,inverse(multiply(X_19,X_20))))),inverse(inverse(multiply(X_19,X_20)))) )],[refute_0_114,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(B,inverse(inverse(X_0))) = inverse(inverse(multiply(B,X_0))),
inference(subst,[],[refute_0_118:[bind(X_19,$fot(B)),bind(X_20,$fot(X_0))]]) ).
cnf(refute_0_120,plain,
( multiply(B,inverse(inverse(X_0))) != inverse(inverse(multiply(B,X_0)))
| inverse(inverse(multiply(B,X_0))) != multiply(B,X_0)
| multiply(B,inverse(inverse(X_0))) = multiply(B,X_0) ),
inference(subst,[],[refute_0_93:[bind(X,$fot(multiply(B,inverse(inverse(X_0))))),bind(Y,$fot(inverse(inverse(multiply(B,X_0))))),bind(Z,$fot(multiply(B,X_0)))]]) ).
cnf(refute_0_121,plain,
( inverse(inverse(multiply(B,X_0))) != multiply(B,X_0)
| multiply(B,inverse(inverse(X_0))) = multiply(B,X_0) ),
inference(resolve,[$cnf( $equal(multiply(B,inverse(inverse(X_0))),inverse(inverse(multiply(B,X_0)))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
multiply(B,inverse(inverse(X_0))) = multiply(B,X_0),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(B,X_0))),multiply(B,X_0)) )],[refute_0_113,refute_0_121]) ).
cnf(refute_0_123,plain,
( multiply(B,inverse(inverse(X_0))) != multiply(B,X_0)
| multiply(B,inverse(inverse(X_0))) != inverse(inverse(multiply(X_0,B)))
| multiply(B,X_0) = inverse(inverse(multiply(X_0,B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,inverse(inverse(X_0))),inverse(inverse(multiply(X_0,B)))) ),[0],$fot(multiply(B,X_0))]]) ).
cnf(refute_0_124,plain,
( multiply(B,inverse(inverse(X_0))) != inverse(inverse(multiply(X_0,B)))
| multiply(B,X_0) = inverse(inverse(multiply(X_0,B))) ),
inference(resolve,[$cnf( $equal(multiply(B,inverse(inverse(X_0))),multiply(B,X_0)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
inverse(inverse(multiply(X_0,B))) = multiply(X_0,B),
inference(subst,[],[refute_0_112:[bind(X_0,$fot(multiply(X_0,B)))]]) ).
cnf(refute_0_126,plain,
( multiply(B,X_0) != inverse(inverse(multiply(X_0,B)))
| inverse(inverse(multiply(X_0,B))) != multiply(X_0,B)
| multiply(B,X_0) = multiply(X_0,B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(B,X_0),multiply(X_0,B)) ),[0],$fot(inverse(inverse(multiply(X_0,B))))]]) ).
cnf(refute_0_127,plain,
( multiply(B,X_0) != inverse(inverse(multiply(X_0,B)))
| multiply(B,X_0) = multiply(X_0,B) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_0,B))),multiply(X_0,B)) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
( multiply(B,inverse(inverse(X_0))) != inverse(inverse(multiply(X_0,B)))
| multiply(B,X_0) = multiply(X_0,B) ),
inference(resolve,[$cnf( $equal(multiply(B,X_0),inverse(inverse(multiply(X_0,B)))) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
multiply(B,X_0) = multiply(X_0,B),
inference(resolve,[$cnf( $equal(multiply(B,inverse(inverse(X_0))),inverse(inverse(multiply(X_0,B)))) )],[refute_0_107,refute_0_128]) ).
cnf(refute_0_130,plain,
( multiply(B,X_0) != multiply(X_0,B)
| multiply(X_0,B) = multiply(B,X_0) ),
inference(subst,[],[refute_0_50:[bind(X,$fot(multiply(B,X_0))),bind(Y,$fot(multiply(X_0,B)))]]) ).
cnf(refute_0_131,plain,
multiply(X_0,B) = multiply(B,X_0),
inference(resolve,[$cnf( $equal(multiply(B,X_0),multiply(X_0,B)) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(subst,[],[refute_0_131:[bind(B,$fot(a1)),bind(X_0,$fot(inverse(a1)))]]) ).
cnf(refute_0_133,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) != multiply(a1,inverse(a1))
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) ),[1],$fot(multiply(inverse(b1),b1))]]) ).
cnf(refute_0_134,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
multiply(inverse(b1),b1) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_131:[bind(B,$fot(b1)),bind(X_0,$fot(inverse(b1)))]]) ).
cnf(refute_0_136,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(inverse(b1),b1) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a1,inverse(a1)),multiply(inverse(b1),b1)) ),[1],$fot(multiply(b1,inverse(b1)))]]) ).
cnf(refute_0_137,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),multiply(b1,inverse(b1))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(inverse(b1),b1)) )],[refute_0_137,refute_0_134]) ).
cnf(refute_0_139,plain,
multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_138,prove_these_axioms_1]) ).
cnf(refute_0_140,plain,
multiply(multiply(X_25,inverse(multiply(X_17,X_25))),inverse(inverse(multiply(X_17,X_25)))) = inverse(inverse(X_25)),
inference(subst,[],[refute_0_103:[bind(B,$fot(inverse(multiply(X_17,X_25)))),bind(X_0,$fot(X_25))]]) ).
cnf(refute_0_141,plain,
multiply(X_25,inverse(multiply(X_17,X_25))) = inverse(X_17),
inference(subst,[],[refute_0_66:[bind(X_16,$fot(X_25))]]) ).
cnf(refute_0_142,plain,
( multiply(X_25,inverse(multiply(X_17,X_25))) != inverse(X_17)
| multiply(multiply(X_25,inverse(multiply(X_17,X_25))),inverse(inverse(multiply(X_17,X_25)))) != inverse(inverse(X_25))
| multiply(inverse(X_17),inverse(inverse(multiply(X_17,X_25)))) = inverse(inverse(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_25,inverse(multiply(X_17,X_25))),inverse(inverse(multiply(X_17,X_25)))),inverse(inverse(X_25))) ),[0,0],$fot(inverse(X_17))]]) ).
cnf(refute_0_143,plain,
( multiply(multiply(X_25,inverse(multiply(X_17,X_25))),inverse(inverse(multiply(X_17,X_25)))) != inverse(inverse(X_25))
| multiply(inverse(X_17),inverse(inverse(multiply(X_17,X_25)))) = inverse(inverse(X_25)) ),
inference(resolve,[$cnf( $equal(multiply(X_25,inverse(multiply(X_17,X_25))),inverse(X_17)) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
multiply(inverse(X_17),inverse(inverse(multiply(X_17,X_25)))) = inverse(inverse(X_25)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_25,inverse(multiply(X_17,X_25))),inverse(inverse(multiply(X_17,X_25)))),inverse(inverse(X_25))) )],[refute_0_140,refute_0_143]) ).
cnf(refute_0_145,plain,
inverse(inverse(multiply(inverse(X_17),multiply(X_17,X_25)))) = multiply(inverse(X_17),multiply(X_17,X_25)),
inference(subst,[],[refute_0_112:[bind(X_0,$fot(multiply(inverse(X_17),multiply(X_17,X_25))))]]) ).
cnf(refute_0_146,plain,
multiply(inverse(X_17),inverse(inverse(multiply(X_17,X_25)))) = inverse(inverse(multiply(inverse(X_17),multiply(X_17,X_25)))),
inference(subst,[],[refute_0_118:[bind(X_19,$fot(inverse(X_17))),bind(X_20,$fot(multiply(X_17,X_25)))]]) ).
cnf(refute_0_147,plain,
( multiply(inverse(X_17),inverse(inverse(multiply(X_17,X_25)))) != inverse(inverse(multiply(inverse(X_17),multiply(X_17,X_25))))
| inverse(inverse(multiply(inverse(X_17),multiply(X_17,X_25)))) != multiply(inverse(X_17),multiply(X_17,X_25))
| multiply(inverse(X_17),inverse(inverse(multiply(X_17,X_25)))) = multiply(inverse(X_17),multiply(X_17,X_25)) ),
inference(subst,[],[refute_0_93:[bind(X,$fot(multiply(inverse(X_17),inverse(inverse(multiply(X_17,X_25)))))),bind(Y,$fot(inverse(inverse(multiply(inverse(X_17),multiply(X_17,X_25)))))),bind(Z,$fot(multiply(inverse(X_17),multiply(X_17,X_25))))]]) ).
cnf(refute_0_148,plain,
( inverse(inverse(multiply(inverse(X_17),multiply(X_17,X_25)))) != multiply(inverse(X_17),multiply(X_17,X_25))
| multiply(inverse(X_17),inverse(inverse(multiply(X_17,X_25)))) = multiply(inverse(X_17),multiply(X_17,X_25)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_17),inverse(inverse(multiply(X_17,X_25)))),inverse(inverse(multiply(inverse(X_17),multiply(X_17,X_25))))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
multiply(inverse(X_17),inverse(inverse(multiply(X_17,X_25)))) = multiply(inverse(X_17),multiply(X_17,X_25)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_17),multiply(X_17,X_25)))),multiply(inverse(X_17),multiply(X_17,X_25))) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
( multiply(inverse(X_17),inverse(inverse(multiply(X_17,X_25)))) != multiply(inverse(X_17),multiply(X_17,X_25))
| multiply(inverse(X_17),inverse(inverse(multiply(X_17,X_25)))) != inverse(inverse(X_25))
| multiply(inverse(X_17),multiply(X_17,X_25)) = inverse(inverse(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_17),inverse(inverse(multiply(X_17,X_25)))),inverse(inverse(X_25))) ),[0],$fot(multiply(inverse(X_17),multiply(X_17,X_25)))]]) ).
cnf(refute_0_151,plain,
( multiply(inverse(X_17),inverse(inverse(multiply(X_17,X_25)))) != inverse(inverse(X_25))
| multiply(inverse(X_17),multiply(X_17,X_25)) = inverse(inverse(X_25)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_17),inverse(inverse(multiply(X_17,X_25)))),multiply(inverse(X_17),multiply(X_17,X_25))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
inverse(inverse(X_25)) = X_25,
inference(subst,[],[refute_0_112:[bind(X_0,$fot(X_25))]]) ).
cnf(refute_0_153,plain,
( multiply(inverse(X_17),multiply(X_17,X_25)) != inverse(inverse(X_25))
| inverse(inverse(X_25)) != X_25
| multiply(inverse(X_17),multiply(X_17,X_25)) = X_25 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_17),multiply(X_17,X_25)),X_25) ),[0],$fot(inverse(inverse(X_25)))]]) ).
cnf(refute_0_154,plain,
( multiply(inverse(X_17),multiply(X_17,X_25)) != inverse(inverse(X_25))
| multiply(inverse(X_17),multiply(X_17,X_25)) = X_25 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_25)),X_25) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
( multiply(inverse(X_17),inverse(inverse(multiply(X_17,X_25)))) != inverse(inverse(X_25))
| multiply(inverse(X_17),multiply(X_17,X_25)) = X_25 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_17),multiply(X_17,X_25)),inverse(inverse(X_25))) )],[refute_0_151,refute_0_154]) ).
cnf(refute_0_156,plain,
multiply(inverse(X_17),multiply(X_17,X_25)) = X_25,
inference(resolve,[$cnf( $equal(multiply(inverse(X_17),inverse(inverse(multiply(X_17,X_25)))),inverse(inverse(X_25))) )],[refute_0_144,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(inverse(multiply(X_38,X_37)),multiply(multiply(X_38,X_37),X_25)) = X_25,
inference(subst,[],[refute_0_156:[bind(X_17,$fot(multiply(X_38,X_37)))]]) ).
cnf(refute_0_158,plain,
multiply(inverse(X_17),multiply(X_17,multiply(X_31,inverse(X_17)))) = multiply(X_31,inverse(X_17)),
inference(subst,[],[refute_0_156:[bind(X_25,$fot(multiply(X_31,inverse(X_17))))]]) ).
cnf(refute_0_159,plain,
multiply(multiply(multiply(A,B),inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))),inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))) = B,
inference(subst,[],[single_axiom:[bind(C,$fot(inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))]]) ).
cnf(refute_0_160,plain,
multiply(multiply(A,B),inverse(multiply(multiply(X_4,multiply(A,B)),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,$fot(multiply(A,B)))]]) ).
cnf(refute_0_161,plain,
( multiply(multiply(A,B),inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))) != X_3
| multiply(multiply(multiply(A,B),inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))),inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))) != B
| multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(A,B),inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))),inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))),B) ),[0,0],$fot(X_3)]]) ).
cnf(refute_0_162,plain,
( multiply(multiply(multiply(A,B),inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))),inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))) != B
| multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))),X_3) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(A,B),inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))),inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))),B) )],[refute_0_159,refute_0_162]) ).
cnf(refute_0_164,plain,
inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3)))))) = multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A)),
inference(subst,[],[refute_0_57:[bind(X_0,$fot(A)),bind(X_3,$fot(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3)))))]]) ).
cnf(refute_0_165,plain,
multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))) = multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))),
introduced(tautology,[refl,[$fot(multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))))]]) ).
cnf(refute_0_166,plain,
( multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))) != multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3)))))))
| inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3)))))) != multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))
| multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))) = multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))),multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3)))))))) ),[1,1],$fot(multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A)))]]) ).
cnf(refute_0_167,plain,
( inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3)))))) != multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))
| multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))) = multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))) ),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))),multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3)))))))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))) = multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))),
inference(resolve,[$cnf( $equal(inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3)))))),multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
( multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))) != B
| multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))) != multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A)))
| multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))),B) ),[0],$fot(multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))))]]) ).
cnf(refute_0_170,plain,
( multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))) != B
| multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))) = B ),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))),multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A)))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))) = B,
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(multiply(A,inverse(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))))))),B) )],[refute_0_163,refute_0_170]) ).
cnf(refute_0_172,plain,
multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B))))),inverse(multiply(X_11,X_13))),inverse(X_12)) = inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B)))),
inference(subst,[],[refute_0_14:[bind(B,$fot(inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B)))))),bind(X_0,$fot(X_11)),bind(X_1,$fot(X_12)),bind(X_2,$fot(X_13))]]) ).
cnf(refute_0_173,plain,
multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B))))) = B,
inference(subst,[],[refute_0_4:[bind(X_1,$fot(multiply(multiply(X_11,X_12),X_13)))]]) ).
cnf(refute_0_174,plain,
( multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B))))) != B
| multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B))))),inverse(multiply(X_11,X_13))),inverse(X_12)) != inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B))))
| multiply(multiply(B,inverse(multiply(X_11,X_13))),inverse(X_12)) = inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B))))),inverse(multiply(X_11,X_13))),inverse(X_12)),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B))))) ),[0,0,0],$fot(B)]]) ).
cnf(refute_0_175,plain,
( multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B))))),inverse(multiply(X_11,X_13))),inverse(X_12)) != inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B))))
| multiply(multiply(B,inverse(multiply(X_11,X_13))),inverse(X_12)) = inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B))))),B) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
multiply(multiply(B,inverse(multiply(X_11,X_13))),inverse(X_12)) = inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B)))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B))))),inverse(multiply(X_11,X_13))),inverse(X_12)),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B))))) )],[refute_0_172,refute_0_175]) ).
cnf(refute_0_177,plain,
inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B)))) = multiply(B,inverse(multiply(multiply(X_11,X_12),X_13))),
inference(subst,[],[refute_0_52:[bind(X_14,$fot(multiply(multiply(X_11,X_12),X_13)))]]) ).
cnf(refute_0_178,plain,
( multiply(multiply(B,inverse(multiply(X_11,X_13))),inverse(X_12)) != inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B))))
| inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B)))) != multiply(B,inverse(multiply(multiply(X_11,X_12),X_13)))
| multiply(multiply(B,inverse(multiply(X_11,X_13))),inverse(X_12)) = multiply(B,inverse(multiply(multiply(X_11,X_12),X_13))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(B,inverse(multiply(X_11,X_13))),inverse(X_12)),multiply(B,inverse(multiply(multiply(X_11,X_12),X_13)))) ),[0],$fot(inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B)))))]]) ).
cnf(refute_0_179,plain,
( multiply(multiply(B,inverse(multiply(X_11,X_13))),inverse(X_12)) != inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B))))
| multiply(multiply(B,inverse(multiply(X_11,X_13))),inverse(X_12)) = multiply(B,inverse(multiply(multiply(X_11,X_12),X_13))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B)))),multiply(B,inverse(multiply(multiply(X_11,X_12),X_13)))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(multiply(B,inverse(multiply(X_11,X_13))),inverse(X_12)) = multiply(B,inverse(multiply(multiply(X_11,X_12),X_13))),
inference(resolve,[$cnf( $equal(multiply(multiply(B,inverse(multiply(X_11,X_13))),inverse(X_12)),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,B))))) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A)) = multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3))),
inference(subst,[],[refute_0_180:[bind(B,$fot(multiply(X_4,multiply(A,B)))),bind(X_11,$fot(X_4)),bind(X_12,$fot(A)),bind(X_13,$fot(X_3))]]) ).
cnf(refute_0_182,plain,
multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))) = multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))),
introduced(tautology,[refl,[$fot(multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))))]]) ).
cnf(refute_0_183,plain,
( multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))) != multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A)))
| multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A)) != multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))
| multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))) = multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))),multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A)))) ),[1,1],$fot(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3))))]]) ).
cnf(refute_0_184,plain,
( multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A)) != multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))
| multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))) = multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))),multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A)))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))) = multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A)),multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))) )],[refute_0_181,refute_0_184]) ).
cnf(refute_0_186,plain,
( multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))) != B
| multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))) != multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3))))
| multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))),B) ),[0],$fot(multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))))]]) ).
cnf(refute_0_187,plain,
( multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))) != B
| multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))) = B ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))),multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3))))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))) = B,
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(X_4,X_3))),inverse(A))),B) )],[refute_0_171,refute_0_187]) ).
cnf(refute_0_189,plain,
multiply(multiply(X_8,X_6),inverse(multiply(multiply(multiply(X_7,X_8),inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))),X_6))) = inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B)))))),
inference(subst,[],[refute_0_9:[bind(C,$fot(X_6)),bind(X_0,$fot(X_7)),bind(X_1,$fot(X_8)),bind(X_2,$fot(inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))))]]) ).
cnf(refute_0_190,plain,
multiply(multiply(X_7,X_8),inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))) = B,
inference(subst,[],[refute_0_4:[bind(X_1,$fot(multiply(X_7,X_8)))]]) ).
cnf(refute_0_191,plain,
( multiply(multiply(X_7,X_8),inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))) != B
| multiply(multiply(X_8,X_6),inverse(multiply(multiply(multiply(X_7,X_8),inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))),X_6))) != inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))))
| multiply(multiply(X_8,X_6),inverse(multiply(B,X_6))) = inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_8,X_6),inverse(multiply(multiply(multiply(X_7,X_8),inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))),X_6))),inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))))) ),[0,1,0,0],$fot(B)]]) ).
cnf(refute_0_192,plain,
( multiply(multiply(X_8,X_6),inverse(multiply(multiply(multiply(X_7,X_8),inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))),X_6))) != inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))))
| multiply(multiply(X_8,X_6),inverse(multiply(B,X_6))) = inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B)))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_7,X_8),inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))),B) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(multiply(X_8,X_6),inverse(multiply(B,X_6))) = inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B)))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_8,X_6),inverse(multiply(multiply(multiply(X_7,X_8),inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))),X_6))),inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))))) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
multiply(multiply(multiply(A,inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))),C),inverse(multiply(A,C))) = inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3)))),
inference(subst,[],[single_axiom:[bind(B,$fot(inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))))]]) ).
cnf(refute_0_195,plain,
multiply(A,inverse(multiply(multiply(X_4,A),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,$fot(A))]]) ).
cnf(refute_0_196,plain,
( multiply(A,inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))) != X_3
| multiply(multiply(multiply(A,inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))),C),inverse(multiply(A,C))) != inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))
| multiply(multiply(X_3,C),inverse(multiply(A,C))) = inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(A,inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))),C),inverse(multiply(A,C))),inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))) ),[0,0,0],$fot(X_3)]]) ).
cnf(refute_0_197,plain,
( multiply(multiply(multiply(A,inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))),C),inverse(multiply(A,C))) != inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))
| multiply(multiply(X_3,C),inverse(multiply(A,C))) = inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3)))) ),
inference(resolve,[$cnf( $equal(multiply(A,inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))),X_3) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
multiply(multiply(X_3,C),inverse(multiply(A,C))) = inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3)))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(A,inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))),C),inverse(multiply(A,C))),inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))) )],[refute_0_194,refute_0_197]) ).
cnf(refute_0_199,plain,
inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3)))) = multiply(X_3,inverse(A)),
inference(subst,[],[refute_0_52:[bind(B,$fot(X_3)),bind(X_0,$fot(X_4)),bind(X_14,$fot(A))]]) ).
cnf(refute_0_200,plain,
( multiply(multiply(X_3,C),inverse(multiply(A,C))) != inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))
| inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3)))) != multiply(X_3,inverse(A))
| multiply(multiply(X_3,C),inverse(multiply(A,C))) = multiply(X_3,inverse(A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_3,C),inverse(multiply(A,C))),multiply(X_3,inverse(A))) ),[0],$fot(inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3)))))]]) ).
cnf(refute_0_201,plain,
( multiply(multiply(X_3,C),inverse(multiply(A,C))) != inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))
| multiply(multiply(X_3,C),inverse(multiply(A,C))) = multiply(X_3,inverse(A)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3)))),multiply(X_3,inverse(A))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
multiply(multiply(X_3,C),inverse(multiply(A,C))) = multiply(X_3,inverse(A)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_3,C),inverse(multiply(A,C))),inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
multiply(multiply(X_8,X_6),inverse(multiply(B,X_6))) = multiply(X_8,inverse(B)),
inference(subst,[],[refute_0_202:[bind(A,$fot(B)),bind(C,$fot(X_6)),bind(X_3,$fot(X_8))]]) ).
cnf(refute_0_204,plain,
( multiply(multiply(X_8,X_6),inverse(multiply(B,X_6))) != multiply(X_8,inverse(B))
| multiply(multiply(X_8,X_6),inverse(multiply(B,X_6))) != inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))))
| multiply(X_8,inverse(B)) = inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_8,X_6),inverse(multiply(B,X_6))),inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))))) ),[0],$fot(multiply(X_8,inverse(B)))]]) ).
cnf(refute_0_205,plain,
( multiply(multiply(X_8,X_6),inverse(multiply(B,X_6))) != inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))))
| multiply(X_8,inverse(B)) = inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B)))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_8,X_6),inverse(multiply(B,X_6))),multiply(X_8,inverse(B))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
multiply(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))),inverse(X_7)) = multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B))),
inference(subst,[],[refute_0_180:[bind(B,$fot(multiply(X_0,multiply(X_7,X_8)))),bind(X_11,$fot(X_0)),bind(X_12,$fot(X_7)),bind(X_13,$fot(B))]]) ).
cnf(refute_0_207,plain,
inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B)))))) = multiply(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))),inverse(X_7)),
inference(subst,[],[refute_0_57:[bind(X_0,$fot(X_7)),bind(X_3,$fot(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B)))))]]) ).
cnf(refute_0_208,plain,
( multiply(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))),inverse(X_7)) != multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B)))
| inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B)))))) != multiply(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))),inverse(X_7))
| inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B)))))) = multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B))) ),
inference(subst,[],[refute_0_93:[bind(X,$fot(inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B)))))))),bind(Y,$fot(multiply(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))),inverse(X_7)))),bind(Z,$fot(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B)))))]]) ).
cnf(refute_0_209,plain,
( multiply(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))),inverse(X_7)) != multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B)))
| inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B)))))) = multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B)))))),multiply(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))),inverse(X_7))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B)))))) = multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))),inverse(X_7)),multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B)))) )],[refute_0_206,refute_0_209]) ).
cnf(refute_0_211,plain,
( multiply(X_8,inverse(B)) != inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))))
| inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B)))))) != multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B)))
| multiply(X_8,inverse(B)) = multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_8,inverse(B)),multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B)))) ),[0],$fot(inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B)))))))]]) ).
cnf(refute_0_212,plain,
( multiply(X_8,inverse(B)) != inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))))
| multiply(X_8,inverse(B)) = multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B)))))),multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B)))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
( multiply(multiply(X_8,X_6),inverse(multiply(B,X_6))) != inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))))
| multiply(X_8,inverse(B)) = multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B))) ),
inference(resolve,[$cnf( $equal(multiply(X_8,inverse(B)),inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))))) )],[refute_0_205,refute_0_212]) ).
cnf(refute_0_214,plain,
multiply(X_8,inverse(B)) = multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_8,X_6),inverse(multiply(B,X_6))),inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,B))))))) )],[refute_0_193,refute_0_213]) ).
cnf(refute_0_215,plain,
( multiply(X_8,inverse(B)) != multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B)))
| multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B))) = multiply(X_8,inverse(B)) ),
inference(subst,[],[refute_0_50:[bind(X,$fot(multiply(X_8,inverse(B)))),bind(Y,$fot(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B)))))]]) ).
cnf(refute_0_216,plain,
multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B))) = multiply(X_8,inverse(B)),
inference(resolve,[$cnf( $equal(multiply(X_8,inverse(B)),multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),B)))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3))) = multiply(B,inverse(X_3)),
inference(subst,[],[refute_0_216:[bind(B,$fot(X_3)),bind(X_0,$fot(X_4)),bind(X_7,$fot(A)),bind(X_8,$fot(B))]]) ).
cnf(refute_0_218,plain,
multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))) = multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))),
introduced(tautology,[refl,[$fot(multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))))]]) ).
cnf(refute_0_219,plain,
( multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))) != multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3))))
| multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3))) != multiply(B,inverse(X_3))
| multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))) = multiply(X_3,multiply(B,inverse(X_3))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))),multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3))))) ),[1,1],$fot(multiply(B,inverse(X_3)))]]) ).
cnf(refute_0_220,plain,
( multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3))) != multiply(B,inverse(X_3))
| multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))) = multiply(X_3,multiply(B,inverse(X_3))) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))),multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3))))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))) = multiply(X_3,multiply(B,inverse(X_3))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3))),multiply(B,inverse(X_3))) )],[refute_0_217,refute_0_220]) ).
cnf(refute_0_222,plain,
( multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))) != B
| multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))) != multiply(X_3,multiply(B,inverse(X_3)))
| multiply(X_3,multiply(B,inverse(X_3))) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))),B) ),[0],$fot(multiply(X_3,multiply(B,inverse(X_3))))]]) ).
cnf(refute_0_223,plain,
( multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))) != B
| multiply(X_3,multiply(B,inverse(X_3))) = B ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))),multiply(X_3,multiply(B,inverse(X_3)))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
multiply(X_3,multiply(B,inverse(X_3))) = B,
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(multiply(X_4,multiply(A,B)),inverse(multiply(multiply(X_4,A),X_3)))),B) )],[refute_0_188,refute_0_223]) ).
cnf(refute_0_225,plain,
multiply(X_17,multiply(X_31,inverse(X_17))) = X_31,
inference(subst,[],[refute_0_224:[bind(B,$fot(X_31)),bind(X_3,$fot(X_17))]]) ).
cnf(refute_0_226,plain,
( multiply(X_17,multiply(X_31,inverse(X_17))) != X_31
| multiply(inverse(X_17),multiply(X_17,multiply(X_31,inverse(X_17)))) != multiply(X_31,inverse(X_17))
| multiply(inverse(X_17),X_31) = multiply(X_31,inverse(X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_17),multiply(X_17,multiply(X_31,inverse(X_17)))),multiply(X_31,inverse(X_17))) ),[0,1],$fot(X_31)]]) ).
cnf(refute_0_227,plain,
( multiply(inverse(X_17),multiply(X_17,multiply(X_31,inverse(X_17)))) != multiply(X_31,inverse(X_17))
| multiply(inverse(X_17),X_31) = multiply(X_31,inverse(X_17)) ),
inference(resolve,[$cnf( $equal(multiply(X_17,multiply(X_31,inverse(X_17))),X_31) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
multiply(inverse(X_17),X_31) = multiply(X_31,inverse(X_17)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_17),multiply(X_17,multiply(X_31,inverse(X_17)))),multiply(X_31,inverse(X_17))) )],[refute_0_158,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(inverse(X_0),inverse(X_1)) = multiply(inverse(X_1),inverse(X_0)),
inference(subst,[],[refute_0_228:[bind(X_17,$fot(X_0)),bind(X_31,$fot(inverse(X_1)))]]) ).
cnf(refute_0_230,plain,
( multiply(inverse(X_0),inverse(X_1)) != multiply(inverse(X_1),inverse(X_0))
| multiply(inverse(X_0),inverse(X_1)) != inverse(multiply(X_0,X_1))
| multiply(inverse(X_1),inverse(X_0)) = inverse(multiply(X_0,X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_0),inverse(X_1)),inverse(multiply(X_0,X_1))) ),[0],$fot(multiply(inverse(X_1),inverse(X_0)))]]) ).
cnf(refute_0_231,plain,
( multiply(inverse(X_0),inverse(X_1)) != inverse(multiply(X_0,X_1))
| multiply(inverse(X_1),inverse(X_0)) = inverse(multiply(X_0,X_1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_0),inverse(X_1)),multiply(inverse(X_1),inverse(X_0))) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
multiply(inverse(X_1),inverse(X_0)) = inverse(multiply(X_0,X_1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_0),inverse(X_1)),inverse(multiply(X_0,X_1))) )],[refute_0_90,refute_0_231]) ).
cnf(refute_0_233,plain,
multiply(inverse(X_1),inverse(X_0)) = inverse(multiply(X_1,X_0)),
inference(subst,[],[refute_0_90:[bind(X_0,$fot(X_1)),bind(X_1,$fot(X_0))]]) ).
cnf(refute_0_234,plain,
( multiply(inverse(X_1),inverse(X_0)) != inverse(multiply(X_0,X_1))
| multiply(inverse(X_1),inverse(X_0)) != inverse(multiply(X_1,X_0))
| inverse(multiply(X_1,X_0)) = inverse(multiply(X_0,X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_1),inverse(X_0)),inverse(multiply(X_0,X_1))) ),[0],$fot(inverse(multiply(X_1,X_0)))]]) ).
cnf(refute_0_235,plain,
( multiply(inverse(X_1),inverse(X_0)) != inverse(multiply(X_0,X_1))
| inverse(multiply(X_1,X_0)) = inverse(multiply(X_0,X_1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_1),inverse(X_0)),inverse(multiply(X_1,X_0))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
inverse(multiply(X_1,X_0)) = inverse(multiply(X_0,X_1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_1),inverse(X_0)),inverse(multiply(X_0,X_1))) )],[refute_0_232,refute_0_235]) ).
cnf(refute_0_237,plain,
inverse(multiply(X_38,X_37)) = inverse(multiply(X_37,X_38)),
inference(subst,[],[refute_0_236:[bind(X_0,$fot(X_37)),bind(X_1,$fot(X_38))]]) ).
cnf(refute_0_238,plain,
( multiply(inverse(multiply(X_38,X_37)),multiply(multiply(X_38,X_37),X_25)) != X_25
| inverse(multiply(X_38,X_37)) != inverse(multiply(X_37,X_38))
| multiply(inverse(multiply(X_37,X_38)),multiply(multiply(X_38,X_37),X_25)) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_38,X_37)),multiply(multiply(X_38,X_37),X_25)),X_25) ),[0,0],$fot(inverse(multiply(X_37,X_38)))]]) ).
cnf(refute_0_239,plain,
( multiply(inverse(multiply(X_38,X_37)),multiply(multiply(X_38,X_37),X_25)) != X_25
| multiply(inverse(multiply(X_37,X_38)),multiply(multiply(X_38,X_37),X_25)) = X_25 ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_38,X_37)),inverse(multiply(X_37,X_38))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
multiply(inverse(multiply(X_37,X_38)),multiply(multiply(X_38,X_37),X_25)) = X_25,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_38,X_37)),multiply(multiply(X_38,X_37),X_25)),X_25) )],[refute_0_157,refute_0_239]) ).
cnf(refute_0_241,plain,
multiply(inverse(multiply(X_37,X_38)),multiply(multiply(X_38,X_37),multiply(X_45,inverse(X_45)))) = multiply(X_45,inverse(X_45)),
inference(subst,[],[refute_0_240:[bind(X_25,$fot(multiply(X_45,inverse(X_45))))]]) ).
cnf(refute_0_242,plain,
multiply(inverse(multiply(inverse(X_17),multiply(X_17,X_25))),multiply(multiply(multiply(X_17,X_25),inverse(X_17)),X_42)) = X_42,
inference(subst,[],[refute_0_240:[bind(X_25,$fot(X_42)),bind(X_37,$fot(inverse(X_17))),bind(X_38,$fot(multiply(X_17,X_25)))]]) ).
cnf(refute_0_243,plain,
( multiply(inverse(X_17),multiply(X_17,X_25)) != X_25
| multiply(inverse(multiply(inverse(X_17),multiply(X_17,X_25))),multiply(multiply(multiply(X_17,X_25),inverse(X_17)),X_42)) != X_42
| multiply(inverse(X_25),multiply(multiply(multiply(X_17,X_25),inverse(X_17)),X_42)) = X_42 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_17),multiply(X_17,X_25))),multiply(multiply(multiply(X_17,X_25),inverse(X_17)),X_42)),X_42) ),[0,0,0],$fot(X_25)]]) ).
cnf(refute_0_244,plain,
( multiply(inverse(multiply(inverse(X_17),multiply(X_17,X_25))),multiply(multiply(multiply(X_17,X_25),inverse(X_17)),X_42)) != X_42
| multiply(inverse(X_25),multiply(multiply(multiply(X_17,X_25),inverse(X_17)),X_42)) = X_42 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_17),multiply(X_17,X_25)),X_25) )],[refute_0_156,refute_0_243]) ).
cnf(refute_0_245,plain,
multiply(inverse(X_25),multiply(multiply(multiply(X_17,X_25),inverse(X_17)),X_42)) = X_42,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_17),multiply(X_17,X_25))),multiply(multiply(multiply(X_17,X_25),inverse(X_17)),X_42)),X_42) )],[refute_0_242,refute_0_244]) ).
cnf(refute_0_246,plain,
multiply(multiply(X_1,C),inverse(multiply(multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),C))) = inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))),
inference(subst,[],[refute_0_9:[bind(X_2,$fot(inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))]]) ).
cnf(refute_0_247,plain,
multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))) = inverse(multiply(X_7,X_9)),
inference(subst,[],[refute_0_9:[bind(C,$fot(X_1)),bind(X_0,$fot(X_7)),bind(X_1,$fot(X_0)),bind(X_2,$fot(X_9))]]) ).
cnf(refute_0_248,plain,
( multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))) != inverse(multiply(X_7,X_9))
| multiply(multiply(X_1,C),inverse(multiply(multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),C))) != inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))
| multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))) = inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_1,C),inverse(multiply(multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),C))),inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))) ),[0,1,0,0],$fot(inverse(multiply(X_7,X_9)))]]) ).
cnf(refute_0_249,plain,
( multiply(multiply(X_1,C),inverse(multiply(multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),C))) != inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))
| multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))) = inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),inverse(multiply(X_7,X_9))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))) = inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,C),inverse(multiply(multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),C))),inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))) )],[refute_0_246,refute_0_249]) ).
cnf(refute_0_251,plain,
multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))) = multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),
inference(subst,[],[refute_0_202:[bind(A,$fot(inverse(multiply(X_7,X_9)))),bind(X_3,$fot(X_1))]]) ).
cnf(refute_0_252,plain,
( multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))) != multiply(X_1,inverse(inverse(multiply(X_7,X_9))))
| multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))) != inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))),inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))) ),[0],$fot(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))))]]) ).
cnf(refute_0_253,plain,
( multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))) != inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))),multiply(X_1,inverse(inverse(multiply(X_7,X_9))))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)),
inference(subst,[],[refute_0_57:[bind(X_3,$fot(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))]]) ).
cnf(refute_0_255,plain,
( multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) != inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))
| inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) != multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))) ),[0],$fot(inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))))]]) ).
cnf(refute_0_256,plain,
( multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) != inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))),multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
( multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))) != inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))) )],[refute_0_253,refute_0_256]) ).
cnf(refute_0_258,plain,
multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))),inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))) )],[refute_0_250,refute_0_257]) ).
cnf(refute_0_259,plain,
multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = inverse(inverse(multiply(X_1,multiply(X_7,X_9)))),
inference(subst,[],[refute_0_118:[bind(X_19,$fot(X_1)),bind(X_20,$fot(multiply(X_7,X_9)))]]) ).
cnf(refute_0_260,plain,
( multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) != multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) != inverse(inverse(multiply(X_1,multiply(X_7,X_9))))
| inverse(inverse(multiply(X_1,multiply(X_7,X_9)))) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))) ),[0],$fot(inverse(inverse(multiply(X_1,multiply(X_7,X_9)))))]]) ).
cnf(refute_0_261,plain,
( multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) != multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))
| inverse(inverse(multiply(X_1,multiply(X_7,X_9)))) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),inverse(inverse(multiply(X_1,multiply(X_7,X_9))))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
inverse(inverse(multiply(X_1,multiply(X_7,X_9)))) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))) )],[refute_0_258,refute_0_261]) ).
cnf(refute_0_263,plain,
inverse(inverse(multiply(X_1,multiply(X_7,X_9)))) = multiply(X_1,multiply(X_7,X_9)),
inference(subst,[],[refute_0_112:[bind(X_0,$fot(multiply(X_1,multiply(X_7,X_9))))]]) ).
cnf(refute_0_264,plain,
( inverse(inverse(multiply(X_1,multiply(X_7,X_9)))) != multiply(X_1,multiply(X_7,X_9))
| inverse(inverse(multiply(X_1,multiply(X_7,X_9)))) != multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))
| multiply(X_1,multiply(X_7,X_9)) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_1,multiply(X_7,X_9)))),multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))) ),[0],$fot(multiply(X_1,multiply(X_7,X_9)))]]) ).
cnf(refute_0_265,plain,
( inverse(inverse(multiply(X_1,multiply(X_7,X_9)))) != multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))
| multiply(X_1,multiply(X_7,X_9)) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_1,multiply(X_7,X_9)))),multiply(X_1,multiply(X_7,X_9))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) = multiply(inverse(X_0),multiply(multiply(multiply(X_7,X_0),X_9),X_1)),
inference(subst,[],[refute_0_131:[bind(B,$fot(inverse(X_0))),bind(X_0,$fot(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))]]) ).
cnf(refute_0_267,plain,
( multiply(X_1,multiply(X_7,X_9)) != multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))
| multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) != multiply(inverse(X_0),multiply(multiply(multiply(X_7,X_0),X_9),X_1))
| multiply(X_1,multiply(X_7,X_9)) = multiply(inverse(X_0),multiply(multiply(multiply(X_7,X_0),X_9),X_1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_1,multiply(X_7,X_9)),multiply(inverse(X_0),multiply(multiply(multiply(X_7,X_0),X_9),X_1))) ),[0],$fot(multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)))]]) ).
cnf(refute_0_268,plain,
( multiply(X_1,multiply(X_7,X_9)) != multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))
| multiply(X_1,multiply(X_7,X_9)) = multiply(inverse(X_0),multiply(multiply(multiply(X_7,X_0),X_9),X_1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)),multiply(inverse(X_0),multiply(multiply(multiply(X_7,X_0),X_9),X_1))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
( inverse(inverse(multiply(X_1,multiply(X_7,X_9)))) != multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))
| multiply(X_1,multiply(X_7,X_9)) = multiply(inverse(X_0),multiply(multiply(multiply(X_7,X_0),X_9),X_1)) ),
inference(resolve,[$cnf( $equal(multiply(X_1,multiply(X_7,X_9)),multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))) )],[refute_0_265,refute_0_268]) ).
cnf(refute_0_270,plain,
multiply(X_1,multiply(X_7,X_9)) = multiply(inverse(X_0),multiply(multiply(multiply(X_7,X_0),X_9),X_1)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_1,multiply(X_7,X_9)))),multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))) )],[refute_0_262,refute_0_269]) ).
cnf(refute_0_271,plain,
( multiply(X_1,multiply(X_7,X_9)) != multiply(inverse(X_0),multiply(multiply(multiply(X_7,X_0),X_9),X_1))
| multiply(inverse(X_0),multiply(multiply(multiply(X_7,X_0),X_9),X_1)) = multiply(X_1,multiply(X_7,X_9)) ),
inference(subst,[],[refute_0_50:[bind(X,$fot(multiply(X_1,multiply(X_7,X_9)))),bind(Y,$fot(multiply(inverse(X_0),multiply(multiply(multiply(X_7,X_0),X_9),X_1))))]]) ).
cnf(refute_0_272,plain,
multiply(inverse(X_0),multiply(multiply(multiply(X_7,X_0),X_9),X_1)) = multiply(X_1,multiply(X_7,X_9)),
inference(resolve,[$cnf( $equal(multiply(X_1,multiply(X_7,X_9)),multiply(inverse(X_0),multiply(multiply(multiply(X_7,X_0),X_9),X_1))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
multiply(inverse(X_25),multiply(multiply(multiply(X_17,X_25),inverse(X_17)),X_42)) = multiply(X_42,multiply(X_17,inverse(X_17))),
inference(subst,[],[refute_0_272:[bind(X_0,$fot(X_25)),bind(X_1,$fot(X_42)),bind(X_7,$fot(X_17)),bind(X_9,$fot(inverse(X_17)))]]) ).
cnf(refute_0_274,plain,
( multiply(inverse(X_25),multiply(multiply(multiply(X_17,X_25),inverse(X_17)),X_42)) != X_42
| multiply(inverse(X_25),multiply(multiply(multiply(X_17,X_25),inverse(X_17)),X_42)) != multiply(X_42,multiply(X_17,inverse(X_17)))
| multiply(X_42,multiply(X_17,inverse(X_17))) = X_42 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_25),multiply(multiply(multiply(X_17,X_25),inverse(X_17)),X_42)),X_42) ),[0],$fot(multiply(X_42,multiply(X_17,inverse(X_17))))]]) ).
cnf(refute_0_275,plain,
( multiply(inverse(X_25),multiply(multiply(multiply(X_17,X_25),inverse(X_17)),X_42)) != X_42
| multiply(X_42,multiply(X_17,inverse(X_17))) = X_42 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_25),multiply(multiply(multiply(X_17,X_25),inverse(X_17)),X_42)),multiply(X_42,multiply(X_17,inverse(X_17)))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
multiply(X_42,multiply(X_17,inverse(X_17))) = X_42,
inference(resolve,[$cnf( $equal(multiply(inverse(X_25),multiply(multiply(multiply(X_17,X_25),inverse(X_17)),X_42)),X_42) )],[refute_0_245,refute_0_275]) ).
cnf(refute_0_277,plain,
multiply(multiply(X_38,X_37),multiply(X_45,inverse(X_45))) = multiply(X_38,X_37),
inference(subst,[],[refute_0_276:[bind(X_17,$fot(X_45)),bind(X_42,$fot(multiply(X_38,X_37)))]]) ).
cnf(refute_0_278,plain,
( multiply(multiply(X_38,X_37),multiply(X_45,inverse(X_45))) != multiply(X_38,X_37)
| multiply(inverse(multiply(X_37,X_38)),multiply(multiply(X_38,X_37),multiply(X_45,inverse(X_45)))) != multiply(X_45,inverse(X_45))
| multiply(inverse(multiply(X_37,X_38)),multiply(X_38,X_37)) = multiply(X_45,inverse(X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_37,X_38)),multiply(multiply(X_38,X_37),multiply(X_45,inverse(X_45)))),multiply(X_45,inverse(X_45))) ),[0,1],$fot(multiply(X_38,X_37))]]) ).
cnf(refute_0_279,plain,
( multiply(inverse(multiply(X_37,X_38)),multiply(multiply(X_38,X_37),multiply(X_45,inverse(X_45)))) != multiply(X_45,inverse(X_45))
| multiply(inverse(multiply(X_37,X_38)),multiply(X_38,X_37)) = multiply(X_45,inverse(X_45)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_38,X_37),multiply(X_45,inverse(X_45))),multiply(X_38,X_37)) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
multiply(inverse(multiply(X_37,X_38)),multiply(X_38,X_37)) = multiply(X_45,inverse(X_45)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_37,X_38)),multiply(multiply(X_38,X_37),multiply(X_45,inverse(X_45)))),multiply(X_45,inverse(X_45))) )],[refute_0_241,refute_0_279]) ).
cnf(refute_0_281,plain,
inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B)))) = multiply(multiply(X_0,B),inverse(multiply(X_0,X_14))),
inference(subst,[],[refute_0_57:[bind(X_0,$fot(multiply(X_0,X_14))),bind(X_3,$fot(multiply(X_0,B)))]]) ).
cnf(refute_0_282,plain,
( multiply(B,inverse(X_14)) != inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))
| inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B)))) != multiply(multiply(X_0,B),inverse(multiply(X_0,X_14)))
| multiply(B,inverse(X_14)) = multiply(multiply(X_0,B),inverse(multiply(X_0,X_14))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(B,inverse(X_14)),multiply(multiply(X_0,B),inverse(multiply(X_0,X_14)))) ),[0],$fot(inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B)))))]]) ).
cnf(refute_0_283,plain,
( multiply(B,inverse(X_14)) != inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))
| multiply(B,inverse(X_14)) = multiply(multiply(X_0,B),inverse(multiply(X_0,X_14))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B)))),multiply(multiply(X_0,B),inverse(multiply(X_0,X_14)))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
multiply(B,inverse(X_14)) = multiply(multiply(X_0,B),inverse(multiply(X_0,X_14))),
inference(resolve,[$cnf( $equal(multiply(B,inverse(X_14)),inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))) )],[refute_0_47,refute_0_283]) ).
cnf(refute_0_285,plain,
( multiply(B,inverse(X_14)) != multiply(multiply(X_0,B),inverse(multiply(X_0,X_14)))
| multiply(multiply(X_0,B),inverse(multiply(X_0,X_14))) = multiply(B,inverse(X_14)) ),
inference(subst,[],[refute_0_50:[bind(X,$fot(multiply(B,inverse(X_14)))),bind(Y,$fot(multiply(multiply(X_0,B),inverse(multiply(X_0,X_14)))))]]) ).
cnf(refute_0_286,plain,
multiply(multiply(X_0,B),inverse(multiply(X_0,X_14))) = multiply(B,inverse(X_14)),
inference(resolve,[$cnf( $equal(multiply(B,inverse(X_14)),multiply(multiply(X_0,B),inverse(multiply(X_0,X_14)))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
multiply(multiply(X_38,X_37),inverse(multiply(X_38,X_37))) = multiply(X_37,inverse(X_37)),
inference(subst,[],[refute_0_286:[bind(B,$fot(X_37)),bind(X_0,$fot(X_38)),bind(X_14,$fot(X_37))]]) ).
cnf(refute_0_288,plain,
multiply(inverse(multiply(X_43,X_44)),multiply(multiply(X_44,X_43),multiply(B,inverse(multiply(X_44,X_43))))) = multiply(B,inverse(multiply(X_44,X_43))),
inference(subst,[],[refute_0_240:[bind(X_25,$fot(multiply(B,inverse(multiply(X_44,X_43))))),bind(X_37,$fot(X_43)),bind(X_38,$fot(X_44))]]) ).
cnf(refute_0_289,plain,
multiply(multiply(X_44,X_43),multiply(B,inverse(multiply(X_44,X_43)))) = B,
inference(subst,[],[refute_0_224:[bind(X_3,$fot(multiply(X_44,X_43)))]]) ).
cnf(refute_0_290,plain,
( multiply(multiply(X_44,X_43),multiply(B,inverse(multiply(X_44,X_43)))) != B
| multiply(inverse(multiply(X_43,X_44)),multiply(multiply(X_44,X_43),multiply(B,inverse(multiply(X_44,X_43))))) != multiply(B,inverse(multiply(X_44,X_43)))
| multiply(inverse(multiply(X_43,X_44)),B) = multiply(B,inverse(multiply(X_44,X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_43,X_44)),multiply(multiply(X_44,X_43),multiply(B,inverse(multiply(X_44,X_43))))),multiply(B,inverse(multiply(X_44,X_43)))) ),[0,1],$fot(B)]]) ).
cnf(refute_0_291,plain,
( multiply(inverse(multiply(X_43,X_44)),multiply(multiply(X_44,X_43),multiply(B,inverse(multiply(X_44,X_43))))) != multiply(B,inverse(multiply(X_44,X_43)))
| multiply(inverse(multiply(X_43,X_44)),B) = multiply(B,inverse(multiply(X_44,X_43))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_44,X_43),multiply(B,inverse(multiply(X_44,X_43)))),B) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
multiply(inverse(multiply(X_43,X_44)),B) = multiply(B,inverse(multiply(X_44,X_43))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_43,X_44)),multiply(multiply(X_44,X_43),multiply(B,inverse(multiply(X_44,X_43))))),multiply(B,inverse(multiply(X_44,X_43)))) )],[refute_0_288,refute_0_291]) ).
cnf(refute_0_293,plain,
multiply(inverse(multiply(X_37,X_38)),multiply(X_38,X_37)) = multiply(multiply(X_38,X_37),inverse(multiply(X_38,X_37))),
inference(subst,[],[refute_0_292:[bind(B,$fot(multiply(X_38,X_37))),bind(X_43,$fot(X_37)),bind(X_44,$fot(X_38))]]) ).
cnf(refute_0_294,plain,
( multiply(multiply(X_38,X_37),inverse(multiply(X_38,X_37))) != multiply(X_37,inverse(X_37))
| multiply(inverse(multiply(X_37,X_38)),multiply(X_38,X_37)) != multiply(multiply(X_38,X_37),inverse(multiply(X_38,X_37)))
| multiply(inverse(multiply(X_37,X_38)),multiply(X_38,X_37)) = multiply(X_37,inverse(X_37)) ),
inference(subst,[],[refute_0_93:[bind(X,$fot(multiply(inverse(multiply(X_37,X_38)),multiply(X_38,X_37)))),bind(Y,$fot(multiply(multiply(X_38,X_37),inverse(multiply(X_38,X_37))))),bind(Z,$fot(multiply(X_37,inverse(X_37))))]]) ).
cnf(refute_0_295,plain,
( multiply(multiply(X_38,X_37),inverse(multiply(X_38,X_37))) != multiply(X_37,inverse(X_37))
| multiply(inverse(multiply(X_37,X_38)),multiply(X_38,X_37)) = multiply(X_37,inverse(X_37)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_37,X_38)),multiply(X_38,X_37)),multiply(multiply(X_38,X_37),inverse(multiply(X_38,X_37)))) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
multiply(inverse(multiply(X_37,X_38)),multiply(X_38,X_37)) = multiply(X_37,inverse(X_37)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_38,X_37),inverse(multiply(X_38,X_37))),multiply(X_37,inverse(X_37))) )],[refute_0_287,refute_0_295]) ).
cnf(refute_0_297,plain,
( multiply(inverse(multiply(X_37,X_38)),multiply(X_38,X_37)) != multiply(X_37,inverse(X_37))
| multiply(inverse(multiply(X_37,X_38)),multiply(X_38,X_37)) != multiply(X_45,inverse(X_45))
| multiply(X_37,inverse(X_37)) = multiply(X_45,inverse(X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_37,X_38)),multiply(X_38,X_37)),multiply(X_45,inverse(X_45))) ),[0],$fot(multiply(X_37,inverse(X_37)))]]) ).
cnf(refute_0_298,plain,
( multiply(inverse(multiply(X_37,X_38)),multiply(X_38,X_37)) != multiply(X_45,inverse(X_45))
| multiply(X_37,inverse(X_37)) = multiply(X_45,inverse(X_45)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_37,X_38)),multiply(X_38,X_37)),multiply(X_37,inverse(X_37))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
multiply(X_37,inverse(X_37)) = multiply(X_45,inverse(X_45)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_37,X_38)),multiply(X_38,X_37)),multiply(X_45,inverse(X_45))) )],[refute_0_280,refute_0_298]) ).
cnf(refute_0_300,plain,
multiply(a1,inverse(a1)) = multiply(X_48,inverse(X_48)),
inference(subst,[],[refute_0_299:[bind(X_37,$fot(a1)),bind(X_45,$fot(X_48))]]) ).
cnf(refute_0_301,plain,
( multiply(X_48,inverse(X_48)) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) != multiply(X_48,inverse(X_48))
| multiply(a1,inverse(a1)) = multiply(b1,inverse(b1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(X_48,inverse(X_48))) ),[1],$fot(multiply(b1,inverse(b1)))]]) ).
cnf(refute_0_302,plain,
( multiply(X_48,inverse(X_48)) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) = multiply(b1,inverse(b1)) ),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(X_48,inverse(X_48))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
multiply(X_48,inverse(X_48)) != multiply(b1,inverse(b1)),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(b1,inverse(b1))) )],[refute_0_302,refute_0_139]) ).
cnf(refute_0_304,plain,
( multiply(X_37,inverse(X_37)) != multiply(X_45,inverse(X_45))
| multiply(X_45,inverse(X_45)) = multiply(X_37,inverse(X_37)) ),
inference(subst,[],[refute_0_50:[bind(X,$fot(multiply(X_37,inverse(X_37)))),bind(Y,$fot(multiply(X_45,inverse(X_45))))]]) ).
cnf(refute_0_305,plain,
multiply(X_45,inverse(X_45)) = multiply(X_37,inverse(X_37)),
inference(resolve,[$cnf( $equal(multiply(X_37,inverse(X_37)),multiply(X_45,inverse(X_45))) )],[refute_0_299,refute_0_304]) ).
cnf(refute_0_306,plain,
multiply(X_48,inverse(X_48)) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_305:[bind(X_37,$fot(b1)),bind(X_45,$fot(X_48))]]) ).
cnf(refute_0_307,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(X_48,inverse(X_48)),multiply(b1,inverse(b1))) )],[refute_0_306,refute_0_303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP509-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 08:08:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52
% 0.19/0.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.40/0.57
%------------------------------------------------------------------------------