TSTP Solution File: GRP591-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP591-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n025.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 07:02:58 EDT 2022
% Result : Unsatisfiable 11.04s 11.23s
% Output : CNFRefutation 11.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of clauses : 68 ( 68 unt; 0 nHn; 6 RR)
% Number of literals : 68 ( 67 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 130 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(inverse(double_divide(double_divide(B,C),inverse(double_divide(B,inverse(A))))),C),
file('/tmp/MaedMax_21572') ).
cnf(eq_1,axiom,
inverse(double_divide(A,B)) = multiply(B,A),
file('/tmp/MaedMax_21572') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_21572') ).
cnf(eq_3,plain,
A = double_divide(multiply(multiply(inverse(A),B),double_divide(B,C)),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_1]),eq_1]) ).
cnf(eq_4,plain,
double_divide(inverse(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(B,C),inverse(double_divide(B,inverse(A))))),inverse(x102))))),C) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(B,inverse(x102)),inverse(double_divide(B,inverse(A))))),x101),inverse(A))),x101) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
A = double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(B,inverse(A)),inverse(double_divide(B,inverse(C))))),x3),inverse(C))),x3),
eq_5 ).
cnf(eq_7,plain,
A = double_divide(inverse(double_divide(B,inverse(double_divide(inverse(double_divide(double_divide(C,x3),inverse(double_divide(C,inverse(B))))),inverse(A))))),x3),
eq_4 ).
cnf(eq_8,plain,
inverse(A) = multiply(C,multiply(multiply(inverse(A),B),double_divide(B,C))),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_9,plain,
inverse(A) = multiply(B,multiply(multiply(inverse(A),C),double_divide(C,B))),
eq_8 ).
cnf(eq_10,plain,
double_divide(inverse(double_divide(A,inverse(A))),inverse(x101)) = x101,
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_11,plain,
double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(B,inverse(x102)),inverse(double_divide(B,inverse(A))))),inverse(x101)),inverse(A))),x103),inverse(x102))),x103) = x101,
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_12,plain,
A = double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(B,inverse(C)),inverse(double_divide(B,inverse(x3))))),inverse(A)),inverse(x3))),x4),inverse(C))),x4),
eq_11 ).
cnf(eq_13,plain,
A = double_divide(inverse(double_divide(B,inverse(B))),inverse(A)),
eq_10 ).
cnf(eq_14,plain,
double_divide(inverse(inverse(double_divide(B,inverse(B)))),inverse(x101)) = x101,
inference(cp,[status(thm)],[eq_13,eq_13]) ).
cnf(eq_15,plain,
double_divide(inverse(double_divide(x100,inverse(A))),inverse(x100)) = A,
inference(cp,[status(thm)],[eq_13,eq_7]) ).
cnf(eq_16,plain,
double_divide(inverse(double_divide(x100,inverse(double_divide(inverse(double_divide(A,inverse(double_divide(inverse(double_divide(B,inverse(B))),inverse(x100))))),inverse(x103))))),inverse(A)) = x103,
inference(cp,[status(thm)],[eq_13,eq_7]) ).
cnf(eq_17,plain,
double_divide(inverse(double_divide(double_divide(inverse(double_divide(A,inverse(x101))),x104),inverse(x101))),x104) = A,
inference(cp,[status(thm)],[eq_13,eq_12]) ).
cnf(eq_18,plain,
double_divide(inverse(double_divide(double_divide(inverse(double_divide(A,inverse(A))),x104),inverse(x101))),x104) = x101,
inference(cp,[status(thm)],[eq_0,eq_12]) ).
cnf(eq_19,plain,
A = double_divide(inverse(double_divide(B,inverse(double_divide(inverse(double_divide(C,inverse(B))),inverse(A))))),inverse(C)),
inference(rw,[status(thm)],[eq_16,eq_13]) ).
cnf(eq_20,plain,
A = double_divide(inverse(inverse(double_divide(B,inverse(B)))),inverse(A)),
eq_14 ).
cnf(eq_21,plain,
A = double_divide(inverse(double_divide(double_divide(inverse(double_divide(B,inverse(B))),C),inverse(A))),C),
eq_18 ).
cnf(eq_22,plain,
A = double_divide(inverse(double_divide(B,inverse(A))),inverse(B)),
eq_15 ).
cnf(eq_23,plain,
A = double_divide(inverse(double_divide(double_divide(inverse(double_divide(A,inverse(B))),C),inverse(B))),C),
eq_17 ).
cnf(eq_24,plain,
A = double_divide(multiply(inverse(B),B),inverse(A)),
inference(rw,[status(thm)],[eq_13,eq_1]) ).
cnf(eq_25,plain,
A = double_divide(multiply(inverse(A),B),inverse(B)),
inference(rw,[status(thm)],[eq_22,eq_1]) ).
cnf(eq_26,plain,
double_divide(inverse(A),inverse(inverse(inverse(double_divide(B,inverse(B)))))) = A,
inference(cp,[status(thm)],[eq_20,eq_22]) ).
cnf(eq_27,plain,
double_divide(inverse(A),inverse(inverse(double_divide(double_divide(inverse(double_divide(B,inverse(B))),inverse(x101)),inverse(A))))) = x101,
inference(cp,[status(thm)],[eq_21,eq_22]) ).
cnf(eq_28,plain,
double_divide(inverse(double_divide(A,inverse(double_divide(B,inverse(A))))),C) = double_divide(B,C),
inference(cp,[status(thm)],[eq_0,eq_23]) ).
cnf(eq_29,plain,
double_divide(A,B) = double_divide(inverse(double_divide(C,inverse(double_divide(A,inverse(C))))),B),
eq_28 ).
cnf(eq_30,plain,
A = double_divide(inverse(B),inverse(inverse(double_divide(A,inverse(B))))),
inference(rw,[status(thm)],[eq_27,eq_13]) ).
cnf(eq_31,plain,
inverse(A) = multiply(inverse(A),multiply(inverse(B),B)),
inference(cp,[status(thm)],[eq_24,eq_1]) ).
cnf(eq_32,plain,
inverse(A) = multiply(inverse(B),multiply(inverse(A),B)),
inference(cp,[status(thm)],[eq_25,eq_1]) ).
cnf(eq_33,plain,
A = double_divide(B,inverse(double_divide(inverse(double_divide(inverse(inverse(double_divide(x101,inverse(x101)))),inverse(B))),inverse(A)))),
inference(cp,[status(thm)],[eq_19,eq_26]) ).
cnf(eq_34,plain,
A = inverse(double_divide(A,inverse(double_divide(x100,inverse(x100))))),
inference(cp,[status(thm)],[eq_30,eq_13]) ).
cnf(eq_35,plain,
double_divide(double_divide(inverse(double_divide(x100,inverse(x101))),inverse(inverse(inverse(double_divide(B,inverse(B)))))),inverse(x101)) = x100,
inference(cp,[status(thm)],[eq_26,eq_23]) ).
cnf(eq_36,plain,
double_divide(inverse(double_divide(double_divide(inverse(double_divide(A,inverse(x101))),x102),inverse(x101))),x102) = inverse(double_divide(C,inverse(double_divide(A,inverse(C))))),
inference(cp,[status(thm)],[eq_29,eq_23]) ).
cnf(eq_37,plain,
A = inverse(double_divide(A,inverse(double_divide(B,inverse(B))))),
eq_34 ).
cnf(eq_38,plain,
A = double_divide(B,inverse(double_divide(inverse(B),inverse(A)))),
inference(rw,[status(thm)],[eq_33,eq_20]) ).
cnf(eq_39,plain,
A = double_divide(double_divide(A,inverse(B)),inverse(B)),
inference(rw,[status(thm)],[eq_35,eq_26]) ).
cnf(eq_40,plain,
A = inverse(double_divide(B,inverse(double_divide(A,inverse(B))))),
inference(rw,[status(thm)],[eq_36,eq_23]) ).
cnf(eq_41,plain,
A = multiply(multiply(inverse(B),B),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_37,eq_1]),eq_1]) ).
cnf(eq_42,plain,
A = multiply(multiply(inverse(B),A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_40,eq_1]),eq_1]) ).
cnf(eq_43,plain,
double_divide(A,inverse(B)) = multiply(inverse(A),B),
inference(cp,[status(thm)],[eq_25,eq_39]) ).
cnf(eq_44,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_37,eq_43]),eq_43]),eq_31]) ).
cnf(eq_45,plain,
A = multiply(inverse(multiply(inverse(A),B)),B),
inference(rw,[status(thm)],[eq_25,eq_43]) ).
cnf(eq_46,plain,
multiply(x100,double_divide(B,x100)) = inverse(B),
inference(cp,[status(thm)],[eq_41,eq_9]) ).
cnf(eq_47,plain,
inverse(A) = multiply(B,double_divide(A,B)),
eq_46 ).
cnf(eq_48,plain,
A = multiply(multiply(inverse(B),multiply(multiply(inverse(C),B),A)),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_43]),eq_43]),eq_44]),eq_43]),eq_43]),eq_44]) ).
cnf(eq_49,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_38,eq_43]),eq_44]),eq_43]) ).
cnf(eq_50,plain,
multiply(inverse(x100),multiply(A,x100)) = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_44,eq_32]) ).
cnf(eq_51,plain,
multiply(inverse(multiply(A,x101)),x101) = inverse(A),
inference(cp,[status(thm)],[eq_44,eq_45]) ).
cnf(eq_52,plain,
inverse(A) = multiply(inverse(multiply(A,B)),B),
eq_51 ).
cnf(eq_53,plain,
A = multiply(inverse(B),multiply(A,B)),
inference(rw,[status(thm)],[eq_50,eq_44]) ).
cnf(eq_54,plain,
multiply(A,B) = multiply(B,A),
inference(cp,[status(thm)],[eq_49,eq_42]) ).
cnf(eq_55,plain,
multiply(inverse(double_divide(A,B)),inverse(A)) = B,
inference(cp,[status(thm)],[eq_47,eq_53]) ).
cnf(eq_56,plain,
A = multiply(multiply(A,B),inverse(B)),
inference(rw,[status(thm)],[eq_55,eq_1]) ).
cnf(eq_57,negated_conjecture,
multiply(multiply(b3,c3),a3) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_54,eq_2]) ).
cnf(eq_58,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(multiply(b3,c3),a3),
eq_57 ).
cnf(eq_59,plain,
multiply(inverse(A),inverse(B)) = inverse(multiply(A,B)),
inference(cp,[status(thm)],[eq_52,eq_56]) ).
cnf(eq_60,plain,
inverse(multiply(A,B)) = multiply(inverse(A),inverse(B)),
eq_59 ).
cnf(eq_61,negated_conjecture,
multiply(c3,multiply(a3,b3)) != multiply(multiply(b3,c3),a3),
inference(cp,[status(thm)],[eq_54,eq_58]) ).
cnf(eq_62,plain,
multiply(multiply(inverse(A),inverse(B)),multiply(x101,multiply(A,B))) = x101,
inference(cp,[status(thm)],[eq_60,eq_53]) ).
cnf(eq_63,plain,
A = multiply(multiply(inverse(B),inverse(C)),multiply(A,multiply(B,C))),
eq_62 ).
cnf(eq_64,plain,
multiply(multiply(inverse(inverse(C)),A),B) = multiply(A,multiply(B,C)),
inference(cp,[status(thm)],[eq_63,eq_48]) ).
cnf(eq_65,plain,
multiply(A,multiply(B,C)) = multiply(multiply(C,A),B),
inference(rw,[status(thm)],[eq_64,eq_44]) ).
cnf(eq_66,negated_conjecture,
multiply(multiply(b3,c3),a3) != multiply(multiply(b3,c3),a3),
inference(cp,[status(thm)],[eq_65,eq_61]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP591-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 04:27:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 11.04/11.23 % SZS status Unsatisfiable
% 11.04/11.23 % SZS output start CNFRefutation for /tmp/MaedMax_21572
% See solution above
% 11.04/11.23
%------------------------------------------------------------------------------