TSTP Solution File: GRP604-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP604-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n029.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 1.81s 2.02s
% Output : CNFRefutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of clauses : 61 ( 61 unt; 0 nHn; 6 RR)
% Number of literals : 61 ( 60 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 146 ( 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_31982') ).
cnf(eq_1,axiom,
inverse(double_divide(A,B)) = multiply(B,A),
file('/tmp/MaedMax_31982') ).
cnf(eq_2,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/tmp/MaedMax_31982') ).
cnf(eq_3,negated_conjecture,
inverse(double_divide(a,b)) != inverse(double_divide(b,a)),
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,
A = inverse(double_divide(inverse(double_divide(inverse(double_divide(B,A)),C)),double_divide(B,C))),
eq_6 ).
cnf(eq_8,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_7,eq_1]),eq_1]),eq_1]) ).
cnf(eq_9,plain,
multiply(double_divide(multiply(A,B),double_divide(B,C)),A) = C,
inference(cp,[status(thm)],[eq_8,eq_8]) ).
cnf(eq_10,plain,
multiply(double_divide(multiply(C,multiply(A,B)),x101),multiply(x101,A)) = double_divide(B,C),
inference(cp,[status(thm)],[eq_8,eq_8]) ).
cnf(eq_11,plain,
double_divide(A,B) = multiply(double_divide(multiply(B,multiply(C,A)),x3),multiply(x3,C)),
eq_10 ).
cnf(eq_12,plain,
A = multiply(double_divide(multiply(B,C),double_divide(C,A)),B),
eq_9 ).
cnf(eq_13,plain,
multiply(double_divide(C,double_divide(multiply(B,multiply(C,A)),x3)),double_divide(A,B)) = x3,
inference(cp,[status(thm)],[eq_11,eq_8]) ).
cnf(eq_14,plain,
multiply(double_divide(x100,double_divide(multiply(multiply(x102,x100),C),double_divide(C,A))),A) = x102,
inference(cp,[status(thm)],[eq_12,eq_8]) ).
cnf(eq_15,plain,
multiply(double_divide(B,x101),multiply(x101,A)) = double_divide(multiply(B,C),double_divide(C,A)),
inference(cp,[status(thm)],[eq_12,eq_8]) ).
cnf(eq_16,plain,
double_divide(A,multiply(double_divide(multiply(C,A),x102),C)) = x102,
inference(cp,[status(thm)],[eq_11,eq_12]) ).
cnf(eq_17,plain,
A = double_divide(B,multiply(double_divide(multiply(C,B),A),C)),
eq_16 ).
cnf(eq_18,plain,
double_divide(multiply(A,B),double_divide(B,C)) = multiply(double_divide(A,x3),multiply(x3,C)),
eq_15 ).
cnf(eq_19,plain,
A = multiply(double_divide(B,double_divide(multiply(multiply(A,B),C),double_divide(C,x3))),x3),
eq_14 ).
cnf(eq_20,plain,
A = multiply(double_divide(B,double_divide(multiply(C,multiply(B,x3)),A)),double_divide(x3,C)),
eq_13 ).
cnf(eq_21,plain,
multiply(multiply(double_divide(A,x3),multiply(x3,C)),A) = C,
inference(cp,[status(thm)],[eq_18,eq_12]) ).
cnf(eq_22,plain,
double_divide(B,multiply(double_divide(A,x102),double_divide(multiply(B,C),double_divide(C,A)))) = x102,
inference(cp,[status(thm)],[eq_12,eq_17]) ).
cnf(eq_23,plain,
double_divide(multiply(B,x3),double_divide(x3,multiply(x101,B))) = x101,
inference(cp,[status(thm)],[eq_20,eq_19]) ).
cnf(eq_24,plain,
A = double_divide(multiply(B,C),double_divide(C,multiply(A,B))),
eq_23 ).
cnf(eq_25,plain,
A = multiply(multiply(double_divide(B,C),multiply(C,A)),B),
eq_21 ).
cnf(eq_26,plain,
A = double_divide(B,multiply(double_divide(C,A),double_divide(multiply(B,x3),double_divide(x3,C)))),
eq_22 ).
cnf(eq_27,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_25,eq_1]),eq_1]),eq_1]) ).
cnf(eq_28,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_24,eq_1]),eq_1]) ).
cnf(eq_29,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_12,eq_1]),eq_1]) ).
cnf(eq_30,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_26,eq_1]),eq_1]) ).
cnf(eq_31,plain,
inverse(double_divide(inverse(A),double_divide(B,double_divide(B,inverse(double_divide(C,A)))))) = C,
inference(cp,[status(thm)],[eq_28,eq_7]) ).
cnf(eq_32,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_29,eq_28]) ).
cnf(eq_33,plain,
A = inverse(double_divide(inverse(B),double_divide(C,double_divide(C,inverse(double_divide(A,B)))))),
eq_31 ).
cnf(eq_34,plain,
double_divide(inverse(double_divide(A,B)),double_divide(A,C)) = double_divide(inverse(double_divide(x3,B)),double_divide(x3,C)),
eq_32 ).
cnf(eq_35,plain,
A = multiply(double_divide(B,double_divide(B,multiply(C,A))),inverse(C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_1]),eq_1]) ).
cnf(eq_36,plain,
double_divide(x100,A) = double_divide(multiply(inverse(C),x100),multiply(C,A)),
inference(cp,[status(thm)],[eq_35,eq_17]) ).
cnf(eq_37,plain,
double_divide(A,B) = double_divide(multiply(inverse(C),A),multiply(C,B)),
eq_36 ).
cnf(eq_38,plain,
double_divide(A,multiply(double_divide(A,B),inverse(C))) = multiply(C,B),
inference(cp,[status(thm)],[eq_37,eq_17]) ).
cnf(eq_39,plain,
double_divide(multiply(B,multiply(inverse(C),A)),double_divide(A,B)) = C,
inference(cp,[status(thm)],[eq_37,eq_24]) ).
cnf(eq_40,plain,
A = double_divide(multiply(B,multiply(inverse(A),C)),double_divide(C,B)),
eq_39 ).
cnf(eq_41,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_38,eq_1]),eq_1]) ).
cnf(eq_42,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_40,eq_1]),eq_1]) ).
cnf(eq_43,plain,
inverse(double_divide(x3,inverse(double_divide(inverse(double_divide(A,C)),double_divide(A,C))))) = x3,
inference(cp,[status(thm)],[eq_34,eq_27]) ).
cnf(eq_44,plain,
inverse(double_divide(inverse(A),A)) = double_divide(inverse(double_divide(C,x3)),double_divide(C,x3)),
inference(cp,[status(thm)],[eq_30,eq_0]) ).
cnf(eq_45,plain,
double_divide(inverse(double_divide(A,B)),double_divide(A,B)) = inverse(double_divide(inverse(C),C)),
eq_44 ).
cnf(eq_46,plain,
A = inverse(double_divide(A,inverse(double_divide(inverse(double_divide(B,C)),double_divide(B,C))))),
eq_43 ).
cnf(eq_47,plain,
inverse(inverse(double_divide(C,double_divide(A,C)))) = A,
inference(cp,[status(thm)],[eq_41,eq_46]) ).
cnf(eq_48,plain,
inverse(double_divide(B,inverse(double_divide(inverse(C),C)))) = B,
inference(cp,[status(thm)],[eq_45,eq_29]) ).
cnf(eq_49,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_42,eq_45]) ).
cnf(eq_50,plain,
double_divide(inverse(A),A) = inverse(double_divide(inverse(B),B)),
inference(rw,[status(thm)],[eq_49,eq_42]) ).
cnf(eq_51,plain,
A = inverse(inverse(double_divide(B,double_divide(A,B)))),
eq_47 ).
cnf(eq_52,plain,
A = inverse(double_divide(A,inverse(double_divide(inverse(B),B)))),
eq_48 ).
cnf(eq_53,negated_conjecture,
double_divide(A,inverse(double_divide(inverse(b),double_divide(A,a)))) != inverse(double_divide(b,a)),
inference(cp,[status(thm)],[eq_41,eq_3]) ).
cnf(eq_54,plain,
inverse(A) = inverse(double_divide(C,double_divide(C,A))),
inference(cp,[status(thm)],[eq_29,eq_51]) ).
cnf(eq_55,plain,
double_divide(inverse(A),inverse(double_divide(inverse(x101),inverse(double_divide(inverse(B),B))))) = inverse(double_divide(A,x101)),
inference(cp,[status(thm)],[eq_50,eq_41]) ).
cnf(eq_56,plain,
inverse(A) = inverse(double_divide(B,double_divide(B,A))),
eq_54 ).
cnf(eq_57,plain,
double_divide(inverse(A),inverse(B)) = inverse(double_divide(A,B)),
inference(rw,[status(thm)],[eq_55,eq_52]) ).
cnf(eq_58,negated_conjecture,
double_divide(inverse(b),inverse(a)) != inverse(double_divide(b,a)),
inference(cp,[status(thm)],[eq_56,eq_53]) ).
cnf(eq_59,negated_conjecture,
double_divide(inverse(b),inverse(a)) != double_divide(inverse(b),inverse(a)),
inference(rw,[status(thm)],[eq_58,eq_57]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP604-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.04/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 04:31:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.81/2.02 % SZS status Unsatisfiable
% 1.81/2.02 % SZS output start CNFRefutation for /tmp/MaedMax_31982
% See solution above
% 1.81/2.02
%------------------------------------------------------------------------------