TSTP Solution File: GRP602-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP602-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n019.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 : 300s
% DateTime : Tue Jul 26 07:02:59 EDT 2022
% Result : Unsatisfiable 1.45s 1.65s
% Output : CNFRefutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of clauses : 66 ( 66 unt; 0 nHn; 8 RR)
% Number of literals : 66 ( 65 equ; 7 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 155 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = inverse(double_divide(inverse(double_divide(B,inverse(double_divide(A,double_divide(B,C))))),C)),
file('/tmp/MaedMax_28969') ).
cnf(eq_1,axiom,
inverse(double_divide(A,B)) = multiply(B,A),
file('/tmp/MaedMax_28969') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/tmp/MaedMax_28969') ).
cnf(eq_3,negated_conjecture,
inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]) ).
cnf(eq_4,plain,
inverse(double_divide(inverse(double_divide(x100,A)),x102)) = inverse(double_divide(B,inverse(double_divide(A,double_divide(B,double_divide(x100,x102)))))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
inverse(double_divide(A,inverse(double_divide(B,double_divide(A,double_divide(C,x3)))))) = inverse(double_divide(inverse(double_divide(C,B)),x3)),
eq_4 ).
cnf(eq_6,plain,
inverse(double_divide(inverse(double_divide(inverse(double_divide(C,B)),x3)),double_divide(C,x3))) = B,
inference(cp,[status(thm)],[eq_5,eq_0]) ).
cnf(eq_7,plain,
inverse(double_divide(inverse(double_divide(x100,inverse(double_divide(A,inverse(double_divide(B,double_divide(A,double_divide(C,double_divide(x100,x102))))))))),x102)) = inverse(double_divide(C,B)),
inference(cp,[status(thm)],[eq_5,eq_0]) ).
cnf(eq_8,plain,
inverse(double_divide(A,B)) = inverse(double_divide(inverse(double_divide(C,inverse(double_divide(x3,inverse(double_divide(B,double_divide(x3,double_divide(A,double_divide(C,x4))))))))),x4)),
eq_7 ).
cnf(eq_9,plain,
A = inverse(double_divide(inverse(double_divide(inverse(double_divide(B,A)),C)),double_divide(B,C))),
eq_6 ).
cnf(eq_10,plain,
A = multiply(double_divide(B,C),multiply(C,multiply(A,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_1]),eq_1]),eq_1]) ).
cnf(eq_11,plain,
multiply(double_divide(multiply(A,B),double_divide(B,C)),A) = C,
inference(cp,[status(thm)],[eq_10,eq_10]) ).
cnf(eq_12,plain,
multiply(double_divide(multiply(C,multiply(A,B)),x101),multiply(x101,A)) = double_divide(B,C),
inference(cp,[status(thm)],[eq_10,eq_10]) ).
cnf(eq_13,plain,
double_divide(A,B) = multiply(double_divide(multiply(B,multiply(C,A)),x3),multiply(x3,C)),
eq_12 ).
cnf(eq_14,plain,
A = multiply(double_divide(multiply(B,C),double_divide(C,A)),B),
eq_11 ).
cnf(eq_15,plain,
multiply(double_divide(C,double_divide(multiply(B,multiply(C,A)),x3)),double_divide(A,B)) = x3,
inference(cp,[status(thm)],[eq_13,eq_10]) ).
cnf(eq_16,plain,
multiply(double_divide(x100,double_divide(multiply(multiply(x102,x100),C),double_divide(C,A))),A) = x102,
inference(cp,[status(thm)],[eq_14,eq_10]) ).
cnf(eq_17,plain,
multiply(double_divide(B,x101),multiply(x101,A)) = double_divide(multiply(B,C),double_divide(C,A)),
inference(cp,[status(thm)],[eq_14,eq_10]) ).
cnf(eq_18,plain,
double_divide(A,multiply(double_divide(multiply(C,A),x102),C)) = x102,
inference(cp,[status(thm)],[eq_13,eq_14]) ).
cnf(eq_19,plain,
A = double_divide(B,multiply(double_divide(multiply(C,B),A),C)),
eq_18 ).
cnf(eq_20,plain,
double_divide(multiply(A,B),double_divide(B,C)) = multiply(double_divide(A,x3),multiply(x3,C)),
eq_17 ).
cnf(eq_21,plain,
A = multiply(double_divide(B,double_divide(multiply(multiply(A,B),C),double_divide(C,x3))),x3),
eq_16 ).
cnf(eq_22,plain,
A = multiply(double_divide(B,double_divide(multiply(C,multiply(B,x3)),A)),double_divide(x3,C)),
eq_15 ).
cnf(eq_23,plain,
multiply(multiply(double_divide(A,x3),multiply(x3,C)),A) = C,
inference(cp,[status(thm)],[eq_20,eq_14]) ).
cnf(eq_24,plain,
double_divide(B,multiply(double_divide(A,x102),double_divide(multiply(B,C),double_divide(C,A)))) = x102,
inference(cp,[status(thm)],[eq_14,eq_19]) ).
cnf(eq_25,plain,
double_divide(multiply(B,x3),double_divide(x3,multiply(x101,B))) = x101,
inference(cp,[status(thm)],[eq_22,eq_21]) ).
cnf(eq_26,plain,
A = double_divide(multiply(B,C),double_divide(C,multiply(A,B))),
eq_25 ).
cnf(eq_27,plain,
A = multiply(multiply(double_divide(B,C),multiply(C,A)),B),
eq_23 ).
cnf(eq_28,plain,
A = double_divide(B,multiply(double_divide(C,A),double_divide(multiply(B,x3),double_divide(x3,C)))),
eq_24 ).
cnf(eq_29,plain,
A = inverse(double_divide(B,inverse(double_divide(inverse(double_divide(A,C)),double_divide(B,C))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_1]),eq_1]),eq_1]) ).
cnf(eq_30,plain,
A = double_divide(inverse(double_divide(B,C)),double_divide(B,inverse(double_divide(C,A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_1]),eq_1]) ).
cnf(eq_31,plain,
A = inverse(double_divide(B,double_divide(inverse(double_divide(C,B)),double_divide(C,A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_1]),eq_1]) ).
cnf(eq_32,plain,
A = double_divide(B,inverse(double_divide(double_divide(inverse(double_divide(C,B)),double_divide(C,x3)),double_divide(x3,A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_1]),eq_1]) ).
cnf(eq_33,plain,
inverse(double_divide(inverse(A),double_divide(B,double_divide(B,inverse(double_divide(C,A)))))) = C,
inference(cp,[status(thm)],[eq_30,eq_9]) ).
cnf(eq_34,plain,
double_divide(inverse(double_divide(x100,B)),double_divide(x100,A)) = double_divide(inverse(double_divide(C,B)),double_divide(C,A)),
inference(cp,[status(thm)],[eq_31,eq_30]) ).
cnf(eq_35,plain,
A = inverse(double_divide(inverse(B),double_divide(C,double_divide(C,inverse(double_divide(A,B)))))),
eq_33 ).
cnf(eq_36,plain,
double_divide(inverse(double_divide(A,B)),double_divide(A,C)) = double_divide(inverse(double_divide(x3,B)),double_divide(x3,C)),
eq_34 ).
cnf(eq_37,plain,
A = multiply(double_divide(B,double_divide(B,multiply(C,A))),inverse(C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_1]),eq_1]) ).
cnf(eq_38,plain,
double_divide(x100,A) = double_divide(multiply(inverse(C),x100),multiply(C,A)),
inference(cp,[status(thm)],[eq_37,eq_19]) ).
cnf(eq_39,plain,
double_divide(A,B) = double_divide(multiply(inverse(C),A),multiply(C,B)),
eq_38 ).
cnf(eq_40,plain,
double_divide(A,multiply(double_divide(A,B),inverse(C))) = multiply(C,B),
inference(cp,[status(thm)],[eq_39,eq_19]) ).
cnf(eq_41,plain,
double_divide(multiply(B,multiply(inverse(C),A)),double_divide(A,B)) = C,
inference(cp,[status(thm)],[eq_39,eq_26]) ).
cnf(eq_42,plain,
A = double_divide(multiply(B,multiply(inverse(A),C)),double_divide(C,B)),
eq_41 ).
cnf(eq_43,plain,
double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C)))) = inverse(double_divide(C,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_40,eq_1]),eq_1]) ).
cnf(eq_44,plain,
A = double_divide(inverse(double_divide(inverse(double_divide(B,inverse(A))),C)),double_divide(B,C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_1]),eq_1]) ).
cnf(eq_45,plain,
inverse(double_divide(x3,inverse(double_divide(inverse(double_divide(A,C)),double_divide(A,C))))) = x3,
inference(cp,[status(thm)],[eq_36,eq_29]) ).
cnf(eq_46,plain,
inverse(double_divide(inverse(A),A)) = double_divide(inverse(double_divide(C,x3)),double_divide(C,x3)),
inference(cp,[status(thm)],[eq_32,eq_0]) ).
cnf(eq_47,plain,
inverse(double_divide(inverse(double_divide(x100,inverse(double_divide(x103,double_divide(x100,x104))))),x104)) = inverse(double_divide(x103,double_divide(inverse(double_divide(C,x3)),double_divide(C,x3)))),
inference(cp,[status(thm)],[eq_32,eq_8]) ).
cnf(eq_48,plain,
double_divide(inverse(double_divide(A,B)),double_divide(A,B)) = inverse(double_divide(inverse(C),C)),
eq_46 ).
cnf(eq_49,plain,
A = inverse(double_divide(A,double_divide(inverse(double_divide(B,C)),double_divide(B,C)))),
inference(rw,[status(thm)],[eq_47,eq_0]) ).
cnf(eq_50,plain,
A = inverse(double_divide(A,inverse(double_divide(inverse(double_divide(B,C)),double_divide(B,C))))),
eq_45 ).
cnf(eq_51,plain,
inverse(double_divide(x100,double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(B,inverse(A))),C)),double_divide(B,C))),A))) = x100,
inference(cp,[status(thm)],[eq_44,eq_49]) ).
cnf(eq_52,plain,
inverse(inverse(double_divide(C,double_divide(A,C)))) = A,
inference(cp,[status(thm)],[eq_43,eq_50]) ).
cnf(eq_53,plain,
inverse(double_divide(B,inverse(double_divide(inverse(C),C)))) = B,
inference(cp,[status(thm)],[eq_48,eq_31]) ).
cnf(eq_54,plain,
double_divide(inverse(A),double_divide(inverse(double_divide(inverse(double_divide(B,inverse(A))),C)),double_divide(B,C))) = inverse(double_divide(inverse(x102),x102)),
inference(cp,[status(thm)],[eq_44,eq_48]) ).
cnf(eq_55,plain,
double_divide(inverse(A),A) = inverse(double_divide(inverse(B),B)),
inference(rw,[status(thm)],[eq_54,eq_44]) ).
cnf(eq_56,plain,
A = inverse(inverse(double_divide(B,double_divide(A,B)))),
eq_52 ).
cnf(eq_57,plain,
A = inverse(double_divide(A,double_divide(inverse(B),B))),
inference(rw,[status(thm)],[eq_51,eq_44]) ).
cnf(eq_58,plain,
A = inverse(double_divide(A,inverse(double_divide(inverse(B),B)))),
eq_53 ).
cnf(eq_59,negated_conjecture,
inverse(double_divide(a2,double_divide(A,inverse(double_divide(inverse(inverse(b2)),double_divide(A,b2)))))) != a2,
inference(cp,[status(thm)],[eq_43,eq_3]) ).
cnf(eq_60,plain,
inverse(inverse(A)) = A,
inference(cp,[status(thm)],[eq_30,eq_56]) ).
cnf(eq_61,negated_conjecture,
inverse(double_divide(a2,double_divide(inverse(b2),inverse(double_divide(inverse(inverse(b2)),inverse(double_divide(inverse(B),B))))))) != a2,
inference(cp,[status(thm)],[eq_55,eq_59]) ).
cnf(eq_62,negated_conjecture,
inverse(double_divide(a2,double_divide(inverse(b2),inverse(inverse(b2))))) != a2,
inference(rw,[status(thm)],[eq_61,eq_58]) ).
cnf(eq_63,negated_conjecture,
inverse(double_divide(a2,double_divide(inverse(b2),b2))) != a2,
inference(cp,[status(thm)],[eq_60,eq_62]) ).
cnf(eq_64,negated_conjecture,
a2 != a2,
inference(rw,[status(thm)],[eq_63,eq_57]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP602-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 04:19:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.45/1.65 % SZS status Unsatisfiable
% 1.45/1.65 % SZS output start CNFRefutation for /tmp/MaedMax_28969
% See solution above
% 1.45/1.66
%------------------------------------------------------------------------------