TSTP Solution File: GRP511-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP511-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:42:03 EDT 2022
% Result : Unsatisfiable 0.15s 0.37s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 46
% Syntax : Number of clauses : 196 ( 103 unt; 0 nHn; 100 RR)
% Number of literals : 333 ( 332 equ; 139 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 546 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(multiply(multiply(A,B),C),inverse(multiply(A,C))) = B ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(refute_0_0,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_1,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,$fot(X_2))]]) ).
cnf(refute_0_2,plain,
( multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))) != X_1
| multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))),C),inverse(multiply(multiply(multiply(X_0,X_1),X_2),C))) != inverse(multiply(X_0,X_2))
| multiply(multiply(X_1,C),inverse(multiply(multiply(multiply(X_0,X_1),X_2),C))) = inverse(multiply(X_0,X_2)) ),
introduced(tautology,[equality,[$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_3,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( $equal(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))),X_1) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
multiply(multiply(X_1,C),inverse(multiply(multiply(multiply(X_0,X_1),X_2),C))) = inverse(multiply(X_0,X_2)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))),C),inverse(multiply(multiply(multiply(X_0,X_1),X_2),C))),inverse(multiply(X_0,X_2))) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
multiply(multiply(X_1,C),inverse(multiply(multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),C))) = inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))),
inference(subst,[],[refute_0_4:[bind(X_2,$fot(inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))]]) ).
cnf(refute_0_6,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_4:[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_7,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_8,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( $equal(multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),inverse(multiply(X_7,X_9))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))) = inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,C),inverse(multiply(multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),C))),inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
multiply(multiply(multiply(A,inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))),C),inverse(multiply(A,C))) = inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3)))),
inference(subst,[],[single_axiom:[bind(B,$fot(inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))))]]) ).
cnf(refute_0_11,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_12,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,$fot(B))]]) ).
cnf(refute_0_13,plain,
( multiply(multiply(multiply(X_0,X_1),B),inverse(multiply(X_0,B))) != X_1
| multiply(multiply(multiply(multiply(X_0,X_1),B),inverse(multiply(X_0,B))),inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))) != B
| multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))) = B ),
introduced(tautology,[equality,[$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_14,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( $equal(multiply(multiply(multiply(X_0,X_1),B),inverse(multiply(X_0,B))),X_1) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_0,X_1),B),inverse(multiply(X_0,B))),inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))),B) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
multiply(A,inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))) = X_3,
inference(subst,[],[refute_0_15:[bind(B,$fot(X_3)),bind(X_0,$fot(X_4)),bind(X_1,$fot(A))]]) ).
cnf(refute_0_17,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_18,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( $equal(multiply(A,inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))),X_3) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
multiply(multiply(X_3,C),inverse(multiply(A,C))) = inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3)))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(A,inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))),C),inverse(multiply(A,C))),inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))) )],[refute_0_10,refute_0_18]) ).
cnf(refute_0_20,plain,
multiply(multiply(X_8,inverse(multiply(X_7,X_9))),inverse(multiply(multiply(multiply(X_7,X_8),X_9),inverse(multiply(X_7,X_9))))) = inverse(multiply(X_7,X_9)),
inference(subst,[],[refute_0_4:[bind(C,$fot(inverse(multiply(X_7,X_9)))),bind(X_0,$fot(X_7)),bind(X_1,$fot(X_8)),bind(X_2,$fot(X_9))]]) ).
cnf(refute_0_21,plain,
multiply(multiply(multiply(X_7,X_8),X_9),inverse(multiply(X_7,X_9))) = X_8,
inference(subst,[],[single_axiom:[bind(A,$fot(X_7)),bind(B,$fot(X_8)),bind(C,$fot(X_9))]]) ).
cnf(refute_0_22,plain,
( multiply(multiply(X_8,inverse(multiply(X_7,X_9))),inverse(multiply(multiply(multiply(X_7,X_8),X_9),inverse(multiply(X_7,X_9))))) != inverse(multiply(X_7,X_9))
| multiply(multiply(multiply(X_7,X_8),X_9),inverse(multiply(X_7,X_9))) != X_8
| multiply(multiply(X_8,inverse(multiply(X_7,X_9))),inverse(X_8)) = inverse(multiply(X_7,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_8,inverse(multiply(X_7,X_9))),inverse(multiply(multiply(multiply(X_7,X_8),X_9),inverse(multiply(X_7,X_9))))),inverse(multiply(X_7,X_9))) ),[0,1,0],$fot(X_8)]]) ).
cnf(refute_0_23,plain,
( multiply(multiply(X_8,inverse(multiply(X_7,X_9))),inverse(multiply(multiply(multiply(X_7,X_8),X_9),inverse(multiply(X_7,X_9))))) != inverse(multiply(X_7,X_9))
| multiply(multiply(X_8,inverse(multiply(X_7,X_9))),inverse(X_8)) = inverse(multiply(X_7,X_9)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_7,X_8),X_9),inverse(multiply(X_7,X_9))),X_8) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
multiply(multiply(X_8,inverse(multiply(X_7,X_9))),inverse(X_8)) = inverse(multiply(X_7,X_9)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_8,inverse(multiply(X_7,X_9))),inverse(multiply(multiply(multiply(X_7,X_8),X_9),inverse(multiply(X_7,X_9))))),inverse(multiply(X_7,X_9))) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
multiply(multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))),inverse(X_14)) = inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B)))),
inference(subst,[],[refute_0_24:[bind(X_7,$fot(multiply(X_0,X_14))),bind(X_8,$fot(X_14)),bind(X_9,$fot(inverse(multiply(X_0,B))))]]) ).
cnf(refute_0_26,plain,
multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))) = B,
inference(subst,[],[refute_0_15:[bind(X_1,$fot(X_14))]]) ).
cnf(refute_0_27,plain,
( multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))) != B
| multiply(multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))),inverse(X_14)) != inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))
| multiply(B,inverse(X_14)) = inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B)))) ),
introduced(tautology,[equality,[$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_28,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( $equal(multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))),B) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
multiply(B,inverse(X_14)) = inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))),inverse(X_14)),inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_31,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_32,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
( multiply(B,inverse(X_14)) != inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))
| inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B)))) = multiply(B,inverse(X_14)) ),
inference(subst,[],[refute_0_32:[bind(X,$fot(multiply(B,inverse(X_14)))),bind(Y,$fot(inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))))]]) ).
cnf(refute_0_34,plain,
inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B)))) = multiply(B,inverse(X_14)),
inference(resolve,[$cnf( $equal(multiply(B,inverse(X_14)),inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,B))))) )],[refute_0_29,refute_0_33]) ).
cnf(refute_0_35,plain,
inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3)))) = multiply(X_3,inverse(A)),
inference(subst,[],[refute_0_34:[bind(B,$fot(X_3)),bind(X_0,$fot(X_4)),bind(X_14,$fot(A))]]) ).
cnf(refute_0_36,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_37,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( $equal(inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3)))),multiply(X_3,inverse(A))) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
multiply(multiply(X_3,C),inverse(multiply(A,C))) = multiply(X_3,inverse(A)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_3,C),inverse(multiply(A,C))),inverse(multiply(multiply(X_4,A),inverse(multiply(X_4,X_3))))) )],[refute_0_19,refute_0_37]) ).
cnf(refute_0_39,plain,
multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))) = multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),
inference(subst,[],[refute_0_38:[bind(A,$fot(inverse(multiply(X_7,X_9)))),bind(X_3,$fot(X_1))]]) ).
cnf(refute_0_40,plain,
( multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))) != multiply(X_1,inverse(inverse(multiply(X_7,X_9))))
| multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))) != inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) ),
introduced(tautology,[equality,[$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_41,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( $equal(multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))),multiply(X_1,inverse(inverse(multiply(X_7,X_9))))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
multiply(multiply(multiply(multiply(X_13,B),X_15),inverse(multiply(X_13,X_15))),inverse(multiply(multiply(X_13,B),X_15))) = inverse(multiply(X_13,X_15)),
inference(subst,[],[refute_0_24:[bind(X_7,$fot(X_13)),bind(X_8,$fot(multiply(multiply(X_13,B),X_15))),bind(X_9,$fot(X_15))]]) ).
cnf(refute_0_43,plain,
multiply(multiply(multiply(X_13,B),X_15),inverse(multiply(X_13,X_15))) = B,
inference(subst,[],[single_axiom:[bind(A,$fot(X_13)),bind(C,$fot(X_15))]]) ).
cnf(refute_0_44,plain,
( multiply(multiply(multiply(X_13,B),X_15),inverse(multiply(X_13,X_15))) != B
| multiply(multiply(multiply(multiply(X_13,B),X_15),inverse(multiply(X_13,X_15))),inverse(multiply(multiply(X_13,B),X_15))) != inverse(multiply(X_13,X_15))
| multiply(B,inverse(multiply(multiply(X_13,B),X_15))) = inverse(multiply(X_13,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(X_13,B),X_15),inverse(multiply(X_13,X_15))),inverse(multiply(multiply(X_13,B),X_15))),inverse(multiply(X_13,X_15))) ),[0,0],$fot(B)]]) ).
cnf(refute_0_45,plain,
( multiply(multiply(multiply(multiply(X_13,B),X_15),inverse(multiply(X_13,X_15))),inverse(multiply(multiply(X_13,B),X_15))) != inverse(multiply(X_13,X_15))
| multiply(B,inverse(multiply(multiply(X_13,B),X_15))) = inverse(multiply(X_13,X_15)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_13,B),X_15),inverse(multiply(X_13,X_15))),B) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
multiply(B,inverse(multiply(multiply(X_13,B),X_15))) = inverse(multiply(X_13,X_15)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_13,B),X_15),inverse(multiply(X_13,X_15))),inverse(multiply(multiply(X_13,B),X_15))),inverse(multiply(X_13,X_15))) )],[refute_0_42,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))),inverse(multiply(multiply(multiply(X_7,X_8),multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),inverse(multiply(multiply(X_7,X_8),B))))) = B,
inference(subst,[],[refute_0_15:[bind(X_0,$fot(multiply(X_7,X_8))),bind(X_1,$fot(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))))]]) ).
cnf(refute_0_48,plain,
multiply(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))),inverse(multiply(multiply(multiply(X_7,X_8),multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),inverse(multiply(multiply(X_7,X_8),B))))) = inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))),
inference(subst,[],[refute_0_4:[bind(C,$fot(inverse(multiply(multiply(X_7,X_8),B)))),bind(X_0,$fot(X_7)),bind(X_1,$fot(X_8)),bind(X_2,$fot(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))))]]) ).
cnf(refute_0_49,plain,
( multiply(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))),inverse(multiply(multiply(multiply(X_7,X_8),multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),inverse(multiply(multiply(X_7,X_8),B))))) != B
| multiply(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))),inverse(multiply(multiply(multiply(X_7,X_8),multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),inverse(multiply(multiply(X_7,X_8),B))))) != inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))))
| inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))),inverse(multiply(multiply(multiply(X_7,X_8),multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),inverse(multiply(multiply(X_7,X_8),B))))),B) ),[0],$fot(inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))))]]) ).
cnf(refute_0_50,plain,
( multiply(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))),inverse(multiply(multiply(multiply(X_7,X_8),multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),inverse(multiply(multiply(X_7,X_8),B))))) != B
| inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))),inverse(multiply(multiply(multiply(X_7,X_8),multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),inverse(multiply(multiply(X_7,X_8),B))))),inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))))) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(X_8,inverse(multiply(multiply(X_7,X_8),B))),inverse(multiply(multiply(multiply(X_7,X_8),multiply(X_8,inverse(multiply(multiply(X_7,X_8),B)))),inverse(multiply(multiply(X_7,X_8),B))))),B) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10)))))))) = multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10))),
inference(subst,[],[refute_0_51:[bind(B,$fot(multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10)))))]]) ).
cnf(refute_0_53,plain,
inverse(multiply(multiply(X_7,X_8),multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10))))) = X_10,
inference(subst,[],[refute_0_51:[bind(B,$fot(X_10)),bind(X_7,$fot(multiply(X_7,X_8))),bind(X_8,$fot(X_12))]]) ).
cnf(refute_0_54,plain,
( inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10)))))))) != multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10)))
| inverse(multiply(multiply(X_7,X_8),multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10))))) != X_10
| inverse(multiply(X_7,multiply(X_8,X_10))) = multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10)))))))),multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10)))) ),[0,0,1,1],$fot(X_10)]]) ).
cnf(refute_0_55,plain,
( inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10)))))))) != multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10)))
| inverse(multiply(X_7,multiply(X_8,X_10))) = multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_7,X_8),multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10))))),X_10) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
inverse(multiply(X_7,multiply(X_8,X_10))) = multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_7,multiply(X_8,inverse(multiply(multiply(X_7,X_8),multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10)))))))),multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10)))) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10))) = inverse(multiply(multiply(X_7,X_8),X_10)),
inference(subst,[],[refute_0_46:[bind(B,$fot(X_12)),bind(X_13,$fot(multiply(X_7,X_8))),bind(X_15,$fot(X_10))]]) ).
cnf(refute_0_58,plain,
( multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10))) != inverse(multiply(multiply(X_7,X_8),X_10))
| inverse(multiply(X_7,multiply(X_8,X_10))) != multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10)))
| inverse(multiply(X_7,multiply(X_8,X_10))) = inverse(multiply(multiply(X_7,X_8),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_7,multiply(X_8,X_10))),multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10)))) ),[1],$fot(inverse(multiply(multiply(X_7,X_8),X_10)))]]) ).
cnf(refute_0_59,plain,
( inverse(multiply(X_7,multiply(X_8,X_10))) != multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10)))
| inverse(multiply(X_7,multiply(X_8,X_10))) = inverse(multiply(multiply(X_7,X_8),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10))),inverse(multiply(multiply(X_7,X_8),X_10))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
inverse(multiply(X_7,multiply(X_8,X_10))) = inverse(multiply(multiply(X_7,X_8),X_10)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_7,multiply(X_8,X_10))),multiply(X_12,inverse(multiply(multiply(multiply(X_7,X_8),X_12),X_10)))) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
( inverse(multiply(X_7,multiply(X_8,X_10))) != inverse(multiply(multiply(X_7,X_8),X_10))
| inverse(multiply(multiply(X_7,X_8),X_10)) = inverse(multiply(X_7,multiply(X_8,X_10))) ),
inference(subst,[],[refute_0_32:[bind(X,$fot(inverse(multiply(X_7,multiply(X_8,X_10))))),bind(Y,$fot(inverse(multiply(multiply(X_7,X_8),X_10))))]]) ).
cnf(refute_0_62,plain,
inverse(multiply(multiply(X_7,X_8),X_10)) = inverse(multiply(X_7,multiply(X_8,X_10))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_7,multiply(X_8,X_10))),inverse(multiply(multiply(X_7,X_8),X_10))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
inverse(multiply(multiply(X_13,B),X_15)) = inverse(multiply(X_13,multiply(B,X_15))),
inference(subst,[],[refute_0_62:[bind(X_10,$fot(X_15)),bind(X_7,$fot(X_13)),bind(X_8,$fot(B))]]) ).
cnf(refute_0_64,plain,
multiply(B,inverse(multiply(multiply(X_13,B),X_15))) = multiply(B,inverse(multiply(multiply(X_13,B),X_15))),
introduced(tautology,[refl,[$fot(multiply(B,inverse(multiply(multiply(X_13,B),X_15))))]]) ).
cnf(refute_0_65,plain,
( multiply(B,inverse(multiply(multiply(X_13,B),X_15))) != multiply(B,inverse(multiply(multiply(X_13,B),X_15)))
| inverse(multiply(multiply(X_13,B),X_15)) != inverse(multiply(X_13,multiply(B,X_15)))
| multiply(B,inverse(multiply(multiply(X_13,B),X_15))) = multiply(B,inverse(multiply(X_13,multiply(B,X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,inverse(multiply(multiply(X_13,B),X_15))),multiply(B,inverse(multiply(multiply(X_13,B),X_15)))) ),[1,1],$fot(inverse(multiply(X_13,multiply(B,X_15))))]]) ).
cnf(refute_0_66,plain,
( inverse(multiply(multiply(X_13,B),X_15)) != inverse(multiply(X_13,multiply(B,X_15)))
| multiply(B,inverse(multiply(multiply(X_13,B),X_15))) = multiply(B,inverse(multiply(X_13,multiply(B,X_15)))) ),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(multiply(X_13,B),X_15))),multiply(B,inverse(multiply(multiply(X_13,B),X_15)))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
multiply(B,inverse(multiply(multiply(X_13,B),X_15))) = multiply(B,inverse(multiply(X_13,multiply(B,X_15)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_13,B),X_15)),inverse(multiply(X_13,multiply(B,X_15)))) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
( multiply(B,inverse(multiply(multiply(X_13,B),X_15))) != multiply(B,inverse(multiply(X_13,multiply(B,X_15))))
| multiply(B,inverse(multiply(multiply(X_13,B),X_15))) != inverse(multiply(X_13,X_15))
| multiply(B,inverse(multiply(X_13,multiply(B,X_15)))) = inverse(multiply(X_13,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,inverse(multiply(multiply(X_13,B),X_15))),inverse(multiply(X_13,X_15))) ),[0],$fot(multiply(B,inverse(multiply(X_13,multiply(B,X_15)))))]]) ).
cnf(refute_0_69,plain,
( multiply(B,inverse(multiply(multiply(X_13,B),X_15))) != inverse(multiply(X_13,X_15))
| multiply(B,inverse(multiply(X_13,multiply(B,X_15)))) = inverse(multiply(X_13,X_15)) ),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(multiply(X_13,B),X_15))),multiply(B,inverse(multiply(X_13,multiply(B,X_15))))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
multiply(B,inverse(multiply(X_13,multiply(B,X_15)))) = inverse(multiply(X_13,X_15)),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(multiply(X_13,B),X_15))),inverse(multiply(X_13,X_15))) )],[refute_0_46,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(X_0,inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1))))) = inverse(multiply(X_7,multiply(X_9,X_1))),
inference(subst,[],[refute_0_70:[bind(B,$fot(X_0)),bind(X_13,$fot(X_7)),bind(X_15,$fot(multiply(X_9,X_1)))]]) ).
cnf(refute_0_72,plain,
inverse(multiply(multiply(X_7,X_0),multiply(X_9,X_1))) = inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1)))),
inference(subst,[],[refute_0_62:[bind(X_10,$fot(multiply(X_9,X_1))),bind(X_8,$fot(X_0))]]) ).
cnf(refute_0_73,plain,
inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)) = inverse(multiply(multiply(X_7,X_0),multiply(X_9,X_1))),
inference(subst,[],[refute_0_62:[bind(X_10,$fot(X_1)),bind(X_7,$fot(multiply(X_7,X_0))),bind(X_8,$fot(X_9))]]) ).
cnf(refute_0_74,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_75,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_32,refute_0_74]) ).
cnf(refute_0_76,plain,
( inverse(multiply(multiply(X_7,X_0),multiply(X_9,X_1))) != inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1))))
| inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)) != inverse(multiply(multiply(X_7,X_0),multiply(X_9,X_1)))
| inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)) = inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1)))) ),
inference(subst,[],[refute_0_75:[bind(X,$fot(inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))),bind(Y,$fot(inverse(multiply(multiply(X_7,X_0),multiply(X_9,X_1))))),bind(Z,$fot(inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1))))))]]) ).
cnf(refute_0_77,plain,
( inverse(multiply(multiply(X_7,X_0),multiply(X_9,X_1))) != inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1))))
| inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)) = inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)),inverse(multiply(multiply(X_7,X_0),multiply(X_9,X_1)))) )],[refute_0_73,refute_0_76]) ).
cnf(refute_0_78,plain,
inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)) = inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_7,X_0),multiply(X_9,X_1))),inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1))))) )],[refute_0_72,refute_0_77]) ).
cnf(refute_0_79,plain,
multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))) = multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),
introduced(tautology,[refl,[$fot(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))]]) ).
cnf(refute_0_80,plain,
( multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))) != multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))
| inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)) != inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1))))
| multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))) = multiply(X_0,inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) ),[1,1],$fot(inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1)))))]]) ).
cnf(refute_0_81,plain,
( inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)) != inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1))))
| multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))) = multiply(X_0,inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1))))) ),
inference(resolve,[$cnf( $equal(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))) = multiply(X_0,inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1))))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)),inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1))))) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
( multiply(X_0,inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1))))) != inverse(multiply(X_7,multiply(X_9,X_1)))
| multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))) != multiply(X_0,inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1)))))
| multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))) = inverse(multiply(X_7,multiply(X_9,X_1))) ),
inference(subst,[],[refute_0_75:[bind(X,$fot(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))),bind(Y,$fot(multiply(X_0,inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1))))))),bind(Z,$fot(inverse(multiply(X_7,multiply(X_9,X_1)))))]]) ).
cnf(refute_0_84,plain,
( multiply(X_0,inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1))))) != inverse(multiply(X_7,multiply(X_9,X_1)))
| multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))) = inverse(multiply(X_7,multiply(X_9,X_1))) ),
inference(resolve,[$cnf( $equal(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),multiply(X_0,inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1)))))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))) = inverse(multiply(X_7,multiply(X_9,X_1))),
inference(resolve,[$cnf( $equal(multiply(X_0,inverse(multiply(X_7,multiply(X_0,multiply(X_9,X_1))))),inverse(multiply(X_7,multiply(X_9,X_1)))) )],[refute_0_71,refute_0_84]) ).
cnf(refute_0_86,plain,
inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) = inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))))]]) ).
cnf(refute_0_87,plain,
( multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))) != inverse(multiply(X_7,multiply(X_9,X_1)))
| 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))))
| inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) = inverse(inverse(multiply(X_7,multiply(X_9,X_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))),inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))) ),[1,0],$fot(inverse(multiply(X_7,multiply(X_9,X_1))))]]) ).
cnf(refute_0_88,plain,
( multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))) != inverse(multiply(X_7,multiply(X_9,X_1)))
| inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) = inverse(inverse(multiply(X_7,multiply(X_9,X_1)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))),inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) = inverse(inverse(multiply(X_7,multiply(X_9,X_1)))),
inference(resolve,[$cnf( $equal(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),inverse(multiply(X_7,multiply(X_9,X_1)))) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
( multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) != inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))
| inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) != inverse(inverse(multiply(X_7,multiply(X_9,X_1))))
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = inverse(inverse(multiply(X_7,multiply(X_9,X_1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),inverse(inverse(multiply(X_7,multiply(X_9,X_1))))) ),[0],$fot(inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))))]]) ).
cnf(refute_0_91,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)))) = inverse(inverse(multiply(X_7,multiply(X_9,X_1)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))),inverse(inverse(multiply(X_7,multiply(X_9,X_1))))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
( multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))) != inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = inverse(inverse(multiply(X_7,multiply(X_9,X_1)))) ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))) )],[refute_0_41,refute_0_91]) ).
cnf(refute_0_93,plain,
multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = inverse(inverse(multiply(X_7,multiply(X_9,X_1)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,C),inverse(multiply(inverse(multiply(X_7,X_9)),C))),inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))) )],[refute_0_9,refute_0_92]) ).
cnf(refute_0_94,plain,
multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))) = inverse(multiply(X_0,inverse(multiply(X_0,B)))),
inference(subst,[],[refute_0_46:[bind(B,$fot(X_1)),bind(X_13,$fot(X_0)),bind(X_15,$fot(inverse(multiply(X_0,B))))]]) ).
cnf(refute_0_95,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_96,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( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))),inverse(multiply(X_0,inverse(multiply(X_0,B))))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
inverse(multiply(X_0,inverse(multiply(X_0,B)))) = B,
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,B))))),B) )],[refute_0_15,refute_0_96]) ).
cnf(refute_0_98,plain,
inverse(multiply(B,inverse(multiply(B,B)))) = B,
inference(subst,[],[refute_0_97:[bind(X_0,$fot(B))]]) ).
cnf(refute_0_99,plain,
multiply(multiply(X_14,inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B)))))),inverse(X_14)) = inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B))))),
inference(subst,[],[refute_0_24:[bind(X_7,$fot(X_13)),bind(X_8,$fot(X_14)),bind(X_9,$fot(multiply(X_8,inverse(multiply(multiply(X_13,X_8),B)))))]]) ).
cnf(refute_0_100,plain,
inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B))))) = B,
inference(subst,[],[refute_0_51:[bind(X_7,$fot(X_13))]]) ).
cnf(refute_0_101,plain,
( multiply(multiply(X_14,inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B)))))),inverse(X_14)) != inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B)))))
| inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B))))) != B
| multiply(multiply(X_14,B),inverse(X_14)) = inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_14,inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B)))))),inverse(X_14)),inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B)))))) ),[0,0,1],$fot(B)]]) ).
cnf(refute_0_102,plain,
( multiply(multiply(X_14,inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B)))))),inverse(X_14)) != inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B)))))
| multiply(multiply(X_14,B),inverse(X_14)) = inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B))))),B) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(multiply(X_14,B),inverse(X_14)) = inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B)))))),inverse(X_14)),inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B)))))) )],[refute_0_99,refute_0_102]) ).
cnf(refute_0_104,plain,
( multiply(multiply(X_14,B),inverse(X_14)) != inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B)))))
| inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B))))) != B
| multiply(multiply(X_14,B),inverse(X_14)) = B ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_14,B),inverse(X_14)),B) ),[0],$fot(inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B))))))]]) ).
cnf(refute_0_105,plain,
( multiply(multiply(X_14,B),inverse(X_14)) != inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B)))))
| multiply(multiply(X_14,B),inverse(X_14)) = B ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B))))),B) )],[refute_0_100,refute_0_104]) ).
cnf(refute_0_106,plain,
multiply(multiply(X_14,B),inverse(X_14)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,B),inverse(X_14)),inverse(multiply(X_13,multiply(X_8,inverse(multiply(multiply(X_13,X_8),B)))))) )],[refute_0_103,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(multiply(multiply(X_17,X_16),inverse(X_17)),inverse(multiply(X_17,X_16))) = inverse(X_17),
inference(subst,[],[refute_0_106:[bind(B,$fot(inverse(X_17))),bind(X_14,$fot(multiply(X_17,X_16)))]]) ).
cnf(refute_0_108,plain,
multiply(multiply(X_17,X_16),inverse(X_17)) = X_16,
inference(subst,[],[refute_0_106:[bind(B,$fot(X_16)),bind(X_14,$fot(X_17))]]) ).
cnf(refute_0_109,plain,
( multiply(multiply(X_17,X_16),inverse(X_17)) != X_16
| multiply(multiply(multiply(X_17,X_16),inverse(X_17)),inverse(multiply(X_17,X_16))) != inverse(X_17)
| multiply(X_16,inverse(multiply(X_17,X_16))) = inverse(X_17) ),
introduced(tautology,[equality,[$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_110,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( $equal(multiply(multiply(X_17,X_16),inverse(X_17)),X_16) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
multiply(X_16,inverse(multiply(X_17,X_16))) = inverse(X_17),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_17,X_16),inverse(X_17)),inverse(multiply(X_17,X_16))),inverse(X_17)) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
multiply(B,inverse(multiply(B,B))) = inverse(B),
inference(subst,[],[refute_0_111:[bind(X_16,$fot(B)),bind(X_17,$fot(B))]]) ).
cnf(refute_0_113,plain,
( multiply(B,inverse(multiply(B,B))) != inverse(B)
| inverse(multiply(B,inverse(multiply(B,B)))) != B
| inverse(inverse(B)) = B ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(B,inverse(multiply(B,B)))),B) ),[0,0],$fot(inverse(B))]]) ).
cnf(refute_0_114,plain,
( inverse(multiply(B,inverse(multiply(B,B)))) != B
| inverse(inverse(B)) = B ),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(B,B))),inverse(B)) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
inverse(inverse(B)) = B,
inference(resolve,[$cnf( $equal(inverse(multiply(B,inverse(multiply(B,B)))),B) )],[refute_0_98,refute_0_114]) ).
cnf(refute_0_116,plain,
inverse(inverse(multiply(X_7,X_9))) = multiply(X_7,X_9),
inference(subst,[],[refute_0_115:[bind(B,$fot(multiply(X_7,X_9)))]]) ).
cnf(refute_0_117,plain,
multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),
introduced(tautology,[refl,[$fot(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))))]]) ).
cnf(refute_0_118,plain,
( multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) != multiply(X_1,inverse(inverse(multiply(X_7,X_9))))
| inverse(inverse(multiply(X_7,X_9))) != multiply(X_7,X_9)
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = multiply(X_1,multiply(X_7,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),multiply(X_1,inverse(inverse(multiply(X_7,X_9))))) ),[1,1],$fot(multiply(X_7,X_9))]]) ).
cnf(refute_0_119,plain,
( inverse(inverse(multiply(X_7,X_9))) != multiply(X_7,X_9)
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = multiply(X_1,multiply(X_7,X_9)) ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),multiply(X_1,inverse(inverse(multiply(X_7,X_9))))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = multiply(X_1,multiply(X_7,X_9)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_7,X_9))),multiply(X_7,X_9)) )],[refute_0_116,refute_0_119]) ).
cnf(refute_0_121,plain,
( multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) != multiply(X_1,multiply(X_7,X_9))
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) != inverse(inverse(multiply(X_7,multiply(X_9,X_1))))
| multiply(X_1,multiply(X_7,X_9)) = inverse(inverse(multiply(X_7,multiply(X_9,X_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),inverse(inverse(multiply(X_7,multiply(X_9,X_1))))) ),[0],$fot(multiply(X_1,multiply(X_7,X_9)))]]) ).
cnf(refute_0_122,plain,
( multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) != inverse(inverse(multiply(X_7,multiply(X_9,X_1))))
| multiply(X_1,multiply(X_7,X_9)) = inverse(inverse(multiply(X_7,multiply(X_9,X_1)))) ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),multiply(X_1,multiply(X_7,X_9))) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
inverse(inverse(multiply(X_7,multiply(X_9,X_1)))) = multiply(X_7,multiply(X_9,X_1)),
inference(subst,[],[refute_0_115:[bind(B,$fot(multiply(X_7,multiply(X_9,X_1))))]]) ).
cnf(refute_0_124,plain,
( multiply(X_1,multiply(X_7,X_9)) != inverse(inverse(multiply(X_7,multiply(X_9,X_1))))
| inverse(inverse(multiply(X_7,multiply(X_9,X_1)))) != multiply(X_7,multiply(X_9,X_1))
| multiply(X_1,multiply(X_7,X_9)) = multiply(X_7,multiply(X_9,X_1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_1,multiply(X_7,X_9)),multiply(X_7,multiply(X_9,X_1))) ),[0],$fot(inverse(inverse(multiply(X_7,multiply(X_9,X_1)))))]]) ).
cnf(refute_0_125,plain,
( multiply(X_1,multiply(X_7,X_9)) != inverse(inverse(multiply(X_7,multiply(X_9,X_1))))
| multiply(X_1,multiply(X_7,X_9)) = multiply(X_7,multiply(X_9,X_1)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_7,multiply(X_9,X_1)))),multiply(X_7,multiply(X_9,X_1))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
( multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) != inverse(inverse(multiply(X_7,multiply(X_9,X_1))))
| multiply(X_1,multiply(X_7,X_9)) = multiply(X_7,multiply(X_9,X_1)) ),
inference(resolve,[$cnf( $equal(multiply(X_1,multiply(X_7,X_9)),inverse(inverse(multiply(X_7,multiply(X_9,X_1))))) )],[refute_0_122,refute_0_125]) ).
cnf(refute_0_127,plain,
multiply(X_1,multiply(X_7,X_9)) = multiply(X_7,multiply(X_9,X_1)),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),inverse(inverse(multiply(X_7,multiply(X_9,X_1))))) )],[refute_0_93,refute_0_126]) ).
cnf(refute_0_128,plain,
( multiply(X_1,multiply(X_7,X_9)) != multiply(X_7,multiply(X_9,X_1))
| multiply(X_7,multiply(X_9,X_1)) = multiply(X_1,multiply(X_7,X_9)) ),
inference(subst,[],[refute_0_32:[bind(X,$fot(multiply(X_1,multiply(X_7,X_9)))),bind(Y,$fot(multiply(X_7,multiply(X_9,X_1))))]]) ).
cnf(refute_0_129,plain,
multiply(X_7,multiply(X_9,X_1)) = multiply(X_1,multiply(X_7,X_9)),
inference(resolve,[$cnf( $equal(multiply(X_1,multiply(X_7,X_9)),multiply(X_7,multiply(X_9,X_1))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(b3,multiply(c3,a3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_129:[bind(X_1,$fot(a3)),bind(X_7,$fot(b3)),bind(X_9,$fot(c3))]]) ).
cnf(refute_0_131,plain,
multiply(c3,multiply(a3,b3)) = multiply(b3,multiply(c3,a3)),
inference(subst,[],[refute_0_129:[bind(X_1,$fot(b3)),bind(X_7,$fot(c3)),bind(X_9,$fot(a3))]]) ).
cnf(refute_0_132,plain,
( multiply(b3,multiply(c3,a3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(b3,multiply(c3,a3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_75:[bind(X,$fot(multiply(c3,multiply(a3,b3)))),bind(Y,$fot(multiply(b3,multiply(c3,a3)))),bind(Z,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_133,plain,
( multiply(b3,multiply(c3,a3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(b3,multiply(c3,a3))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(c3,a3)),multiply(a3,multiply(b3,c3))) )],[refute_0_130,refute_0_133]) ).
cnf(refute_0_135,plain,
multiply(inverse(multiply(X_17,X_21)),inverse(multiply(X_21,inverse(multiply(X_17,X_21))))) = inverse(X_21),
inference(subst,[],[refute_0_111:[bind(X_16,$fot(inverse(multiply(X_17,X_21)))),bind(X_17,$fot(X_21))]]) ).
cnf(refute_0_136,plain,
multiply(X_21,inverse(multiply(X_17,X_21))) = inverse(X_17),
inference(subst,[],[refute_0_111:[bind(X_16,$fot(X_21))]]) ).
cnf(refute_0_137,plain,
( multiply(X_21,inverse(multiply(X_17,X_21))) != inverse(X_17)
| multiply(inverse(multiply(X_17,X_21)),inverse(multiply(X_21,inverse(multiply(X_17,X_21))))) != inverse(X_21)
| multiply(inverse(multiply(X_17,X_21)),inverse(inverse(X_17))) = inverse(X_21) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_17,X_21)),inverse(multiply(X_21,inverse(multiply(X_17,X_21))))),inverse(X_21)) ),[0,1,0],$fot(inverse(X_17))]]) ).
cnf(refute_0_138,plain,
( multiply(inverse(multiply(X_17,X_21)),inverse(multiply(X_21,inverse(multiply(X_17,X_21))))) != inverse(X_21)
| multiply(inverse(multiply(X_17,X_21)),inverse(inverse(X_17))) = inverse(X_21) ),
inference(resolve,[$cnf( $equal(multiply(X_21,inverse(multiply(X_17,X_21))),inverse(X_17)) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
multiply(inverse(multiply(X_17,X_21)),inverse(inverse(X_17))) = inverse(X_21),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_17,X_21)),inverse(multiply(X_21,inverse(multiply(X_17,X_21))))),inverse(X_21)) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
inverse(multiply(X_11,multiply(X_12,inverse(multiply(multiply(X_11,X_12),inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B))))))))) = inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B)))),
inference(subst,[],[refute_0_51:[bind(B,$fot(inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B)))))),bind(X_7,$fot(X_11)),bind(X_8,$fot(X_12))]]) ).
cnf(refute_0_141,plain,
multiply(multiply(X_11,X_12),inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B))))) = B,
inference(subst,[],[refute_0_15:[bind(X_1,$fot(multiply(X_11,X_12)))]]) ).
cnf(refute_0_142,plain,
( multiply(multiply(X_11,X_12),inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B))))) != B
| inverse(multiply(X_11,multiply(X_12,inverse(multiply(multiply(X_11,X_12),inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B))))))))) != inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B))))
| inverse(multiply(X_11,multiply(X_12,inverse(B)))) = inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_11,multiply(X_12,inverse(multiply(multiply(X_11,X_12),inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B))))))))),inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B))))) ),[0,0,1,1,0],$fot(B)]]) ).
cnf(refute_0_143,plain,
( inverse(multiply(X_11,multiply(X_12,inverse(multiply(multiply(X_11,X_12),inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B))))))))) != inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B))))
| inverse(multiply(X_11,multiply(X_12,inverse(B)))) = inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_11,X_12),inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B))))),B) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
inverse(multiply(X_11,multiply(X_12,inverse(B)))) = inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_11,multiply(X_12,inverse(multiply(multiply(X_11,X_12),inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B))))))))),inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B))))) )],[refute_0_140,refute_0_143]) ).
cnf(refute_0_145,plain,
inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B)))) = multiply(B,inverse(multiply(X_11,X_12))),
inference(subst,[],[refute_0_34:[bind(X_14,$fot(multiply(X_11,X_12)))]]) ).
cnf(refute_0_146,plain,
( inverse(multiply(X_11,multiply(X_12,inverse(B)))) != inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B))))
| inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B)))) != multiply(B,inverse(multiply(X_11,X_12)))
| inverse(multiply(X_11,multiply(X_12,inverse(B)))) = multiply(B,inverse(multiply(X_11,X_12))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(multiply(X_11,multiply(X_12,inverse(B)))),multiply(B,inverse(multiply(X_11,X_12)))) ),[0],$fot(inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B)))))]]) ).
cnf(refute_0_147,plain,
( inverse(multiply(X_11,multiply(X_12,inverse(B)))) != inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B))))
| inverse(multiply(X_11,multiply(X_12,inverse(B)))) = multiply(B,inverse(multiply(X_11,X_12))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B)))),multiply(B,inverse(multiply(X_11,X_12)))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
inverse(multiply(X_11,multiply(X_12,inverse(B)))) = multiply(B,inverse(multiply(X_11,X_12))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_11,multiply(X_12,inverse(B)))),inverse(multiply(multiply(X_0,multiply(X_11,X_12)),inverse(multiply(X_0,B))))) )],[refute_0_144,refute_0_147]) ).
cnf(refute_0_149,plain,
inverse(multiply(X_17,multiply(X_21,inverse(X_17)))) = multiply(X_17,inverse(multiply(X_17,X_21))),
inference(subst,[],[refute_0_148:[bind(B,$fot(X_17)),bind(X_11,$fot(X_17)),bind(X_12,$fot(X_21))]]) ).
cnf(refute_0_150,plain,
inverse(multiply(multiply(X_17,X_21),inverse(X_17))) = inverse(multiply(X_17,multiply(X_21,inverse(X_17)))),
inference(subst,[],[refute_0_62:[bind(X_10,$fot(inverse(X_17))),bind(X_7,$fot(X_17)),bind(X_8,$fot(X_21))]]) ).
cnf(refute_0_151,plain,
( inverse(multiply(X_17,multiply(X_21,inverse(X_17)))) != multiply(X_17,inverse(multiply(X_17,X_21)))
| inverse(multiply(multiply(X_17,X_21),inverse(X_17))) != inverse(multiply(X_17,multiply(X_21,inverse(X_17))))
| inverse(multiply(multiply(X_17,X_21),inverse(X_17))) = multiply(X_17,inverse(multiply(X_17,X_21))) ),
inference(subst,[],[refute_0_75:[bind(X,$fot(inverse(multiply(multiply(X_17,X_21),inverse(X_17))))),bind(Y,$fot(inverse(multiply(X_17,multiply(X_21,inverse(X_17)))))),bind(Z,$fot(multiply(X_17,inverse(multiply(X_17,X_21)))))]]) ).
cnf(refute_0_152,plain,
( inverse(multiply(X_17,multiply(X_21,inverse(X_17)))) != multiply(X_17,inverse(multiply(X_17,X_21)))
| inverse(multiply(multiply(X_17,X_21),inverse(X_17))) = multiply(X_17,inverse(multiply(X_17,X_21))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_17,X_21),inverse(X_17))),inverse(multiply(X_17,multiply(X_21,inverse(X_17))))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
inverse(multiply(multiply(X_17,X_21),inverse(X_17))) = multiply(X_17,inverse(multiply(X_17,X_21))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_17,multiply(X_21,inverse(X_17)))),multiply(X_17,inverse(multiply(X_17,X_21)))) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
multiply(multiply(X_14,inverse(multiply(X_21,X_14))),inverse(X_14)) = inverse(multiply(X_21,X_14)),
inference(subst,[],[refute_0_106:[bind(B,$fot(inverse(multiply(X_21,X_14))))]]) ).
cnf(refute_0_155,plain,
multiply(X_14,inverse(multiply(X_21,X_14))) = inverse(X_21),
inference(subst,[],[refute_0_111:[bind(X_16,$fot(X_14)),bind(X_17,$fot(X_21))]]) ).
cnf(refute_0_156,plain,
( multiply(X_14,inverse(multiply(X_21,X_14))) != inverse(X_21)
| multiply(multiply(X_14,inverse(multiply(X_21,X_14))),inverse(X_14)) != inverse(multiply(X_21,X_14))
| multiply(inverse(X_21),inverse(X_14)) = inverse(multiply(X_21,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_14,inverse(multiply(X_21,X_14))),inverse(X_14)),inverse(multiply(X_21,X_14))) ),[0,0],$fot(inverse(X_21))]]) ).
cnf(refute_0_157,plain,
( multiply(multiply(X_14,inverse(multiply(X_21,X_14))),inverse(X_14)) != inverse(multiply(X_21,X_14))
| multiply(inverse(X_21),inverse(X_14)) = inverse(multiply(X_21,X_14)) ),
inference(resolve,[$cnf( $equal(multiply(X_14,inverse(multiply(X_21,X_14))),inverse(X_21)) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
multiply(inverse(X_21),inverse(X_14)) = inverse(multiply(X_21,X_14)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,inverse(multiply(X_21,X_14))),inverse(X_14)),inverse(multiply(X_21,X_14))) )],[refute_0_154,refute_0_157]) ).
cnf(refute_0_159,plain,
multiply(inverse(multiply(X_17,X_21)),inverse(inverse(X_17))) = inverse(multiply(multiply(X_17,X_21),inverse(X_17))),
inference(subst,[],[refute_0_158:[bind(X_14,$fot(inverse(X_17))),bind(X_21,$fot(multiply(X_17,X_21)))]]) ).
cnf(refute_0_160,plain,
( multiply(inverse(multiply(X_17,X_21)),inverse(inverse(X_17))) != inverse(multiply(multiply(X_17,X_21),inverse(X_17)))
| inverse(multiply(multiply(X_17,X_21),inverse(X_17))) != multiply(X_17,inverse(multiply(X_17,X_21)))
| multiply(inverse(multiply(X_17,X_21)),inverse(inverse(X_17))) = multiply(X_17,inverse(multiply(X_17,X_21))) ),
inference(subst,[],[refute_0_75:[bind(X,$fot(multiply(inverse(multiply(X_17,X_21)),inverse(inverse(X_17))))),bind(Y,$fot(inverse(multiply(multiply(X_17,X_21),inverse(X_17))))),bind(Z,$fot(multiply(X_17,inverse(multiply(X_17,X_21)))))]]) ).
cnf(refute_0_161,plain,
( inverse(multiply(multiply(X_17,X_21),inverse(X_17))) != multiply(X_17,inverse(multiply(X_17,X_21)))
| multiply(inverse(multiply(X_17,X_21)),inverse(inverse(X_17))) = multiply(X_17,inverse(multiply(X_17,X_21))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_17,X_21)),inverse(inverse(X_17))),inverse(multiply(multiply(X_17,X_21),inverse(X_17)))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
multiply(inverse(multiply(X_17,X_21)),inverse(inverse(X_17))) = multiply(X_17,inverse(multiply(X_17,X_21))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_17,X_21),inverse(X_17))),multiply(X_17,inverse(multiply(X_17,X_21)))) )],[refute_0_153,refute_0_161]) ).
cnf(refute_0_163,plain,
( multiply(inverse(multiply(X_17,X_21)),inverse(inverse(X_17))) != multiply(X_17,inverse(multiply(X_17,X_21)))
| multiply(inverse(multiply(X_17,X_21)),inverse(inverse(X_17))) != inverse(X_21)
| multiply(X_17,inverse(multiply(X_17,X_21))) = inverse(X_21) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_17,X_21)),inverse(inverse(X_17))),inverse(X_21)) ),[0],$fot(multiply(X_17,inverse(multiply(X_17,X_21))))]]) ).
cnf(refute_0_164,plain,
( multiply(inverse(multiply(X_17,X_21)),inverse(inverse(X_17))) != inverse(X_21)
| multiply(X_17,inverse(multiply(X_17,X_21))) = inverse(X_21) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_17,X_21)),inverse(inverse(X_17))),multiply(X_17,inverse(multiply(X_17,X_21)))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
multiply(X_17,inverse(multiply(X_17,X_21))) = inverse(X_21),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_17,X_21)),inverse(inverse(X_17))),inverse(X_21)) )],[refute_0_139,refute_0_164]) ).
cnf(refute_0_166,plain,
multiply(X_23,inverse(multiply(X_23,inverse(multiply(X_17,X_23))))) = inverse(inverse(multiply(X_17,X_23))),
inference(subst,[],[refute_0_165:[bind(X_17,$fot(X_23)),bind(X_21,$fot(inverse(multiply(X_17,X_23))))]]) ).
cnf(refute_0_167,plain,
multiply(X_23,inverse(multiply(X_17,X_23))) = inverse(X_17),
inference(subst,[],[refute_0_111:[bind(X_16,$fot(X_23))]]) ).
cnf(refute_0_168,plain,
( multiply(X_23,inverse(multiply(X_17,X_23))) != inverse(X_17)
| multiply(X_23,inverse(multiply(X_23,inverse(multiply(X_17,X_23))))) != inverse(inverse(multiply(X_17,X_23)))
| multiply(X_23,inverse(inverse(X_17))) = inverse(inverse(multiply(X_17,X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_23,inverse(multiply(X_23,inverse(multiply(X_17,X_23))))),inverse(inverse(multiply(X_17,X_23)))) ),[0,1,0],$fot(inverse(X_17))]]) ).
cnf(refute_0_169,plain,
( multiply(X_23,inverse(multiply(X_23,inverse(multiply(X_17,X_23))))) != inverse(inverse(multiply(X_17,X_23)))
| multiply(X_23,inverse(inverse(X_17))) = inverse(inverse(multiply(X_17,X_23))) ),
inference(resolve,[$cnf( $equal(multiply(X_23,inverse(multiply(X_17,X_23))),inverse(X_17)) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
multiply(X_23,inverse(inverse(X_17))) = inverse(inverse(multiply(X_17,X_23))),
inference(resolve,[$cnf( $equal(multiply(X_23,inverse(multiply(X_23,inverse(multiply(X_17,X_23))))),inverse(inverse(multiply(X_17,X_23)))) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
inverse(inverse(X_17)) = X_17,
inference(subst,[],[refute_0_115:[bind(B,$fot(X_17))]]) ).
cnf(refute_0_172,plain,
multiply(X_23,inverse(inverse(X_17))) = multiply(X_23,inverse(inverse(X_17))),
introduced(tautology,[refl,[$fot(multiply(X_23,inverse(inverse(X_17))))]]) ).
cnf(refute_0_173,plain,
( multiply(X_23,inverse(inverse(X_17))) != multiply(X_23,inverse(inverse(X_17)))
| inverse(inverse(X_17)) != X_17
| multiply(X_23,inverse(inverse(X_17))) = multiply(X_23,X_17) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_23,inverse(inverse(X_17))),multiply(X_23,inverse(inverse(X_17)))) ),[1,1],$fot(X_17)]]) ).
cnf(refute_0_174,plain,
( inverse(inverse(X_17)) != X_17
| multiply(X_23,inverse(inverse(X_17))) = multiply(X_23,X_17) ),
inference(resolve,[$cnf( $equal(multiply(X_23,inverse(inverse(X_17))),multiply(X_23,inverse(inverse(X_17)))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
multiply(X_23,inverse(inverse(X_17))) = multiply(X_23,X_17),
inference(resolve,[$cnf( $equal(inverse(inverse(X_17)),X_17) )],[refute_0_171,refute_0_174]) ).
cnf(refute_0_176,plain,
( multiply(X_23,inverse(inverse(X_17))) != multiply(X_23,X_17)
| multiply(X_23,inverse(inverse(X_17))) != inverse(inverse(multiply(X_17,X_23)))
| multiply(X_23,X_17) = inverse(inverse(multiply(X_17,X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_23,inverse(inverse(X_17))),inverse(inverse(multiply(X_17,X_23)))) ),[0],$fot(multiply(X_23,X_17))]]) ).
cnf(refute_0_177,plain,
( multiply(X_23,inverse(inverse(X_17))) != inverse(inverse(multiply(X_17,X_23)))
| multiply(X_23,X_17) = inverse(inverse(multiply(X_17,X_23))) ),
inference(resolve,[$cnf( $equal(multiply(X_23,inverse(inverse(X_17))),multiply(X_23,X_17)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
inverse(inverse(multiply(X_17,X_23))) = multiply(X_17,X_23),
inference(subst,[],[refute_0_115:[bind(B,$fot(multiply(X_17,X_23)))]]) ).
cnf(refute_0_179,plain,
( multiply(X_23,X_17) != inverse(inverse(multiply(X_17,X_23)))
| inverse(inverse(multiply(X_17,X_23))) != multiply(X_17,X_23)
| multiply(X_23,X_17) = multiply(X_17,X_23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_23,X_17),multiply(X_17,X_23)) ),[0],$fot(inverse(inverse(multiply(X_17,X_23))))]]) ).
cnf(refute_0_180,plain,
( multiply(X_23,X_17) != inverse(inverse(multiply(X_17,X_23)))
| multiply(X_23,X_17) = multiply(X_17,X_23) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_17,X_23))),multiply(X_17,X_23)) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
( multiply(X_23,inverse(inverse(X_17))) != inverse(inverse(multiply(X_17,X_23)))
| multiply(X_23,X_17) = multiply(X_17,X_23) ),
inference(resolve,[$cnf( $equal(multiply(X_23,X_17),inverse(inverse(multiply(X_17,X_23)))) )],[refute_0_177,refute_0_180]) ).
cnf(refute_0_182,plain,
multiply(X_23,X_17) = multiply(X_17,X_23),
inference(resolve,[$cnf( $equal(multiply(X_23,inverse(inverse(X_17))),inverse(inverse(multiply(X_17,X_23)))) )],[refute_0_170,refute_0_181]) ).
cnf(refute_0_183,plain,
( multiply(X_23,X_17) != multiply(X_17,X_23)
| multiply(X_17,X_23) = multiply(X_23,X_17) ),
inference(subst,[],[refute_0_32:[bind(X,$fot(multiply(X_23,X_17))),bind(Y,$fot(multiply(X_17,X_23)))]]) ).
cnf(refute_0_184,plain,
multiply(X_17,X_23) = multiply(X_23,X_17),
inference(resolve,[$cnf( $equal(multiply(X_23,X_17),multiply(X_17,X_23)) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_184:[bind(X_17,$fot(multiply(a3,b3))),bind(X_23,$fot(c3))]]) ).
cnf(refute_0_186,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_75:[bind(X,$fot(multiply(multiply(a3,b3),c3))),bind(Y,$fot(multiply(c3,multiply(a3,b3)))),bind(Z,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_187,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_134,refute_0_187]) ).
cnf(refute_0_189,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_190,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_190,prove_these_axioms_3]) ).
cnf(refute_0_192,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_193,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_192,refute_0_191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP511-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.10 % Command : metis --show proof --show saturation %s
% 0.10/0.30 % Computer : n014.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Tue Jun 14 01:35:07 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.10/0.30 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.15/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37
% 0.15/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.15/0.42
%------------------------------------------------------------------------------