TSTP Solution File: GRP599-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP599-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %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 : 300s
% DateTime : Tue Jul 26 07:02:58 EDT 2022
% Result : Unsatisfiable 9.02s 9.21s
% Output : CNFRefutation 9.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of clauses : 72 ( 72 unt; 0 nHn; 12 RR)
% Number of literals : 72 ( 71 equ; 11 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 15 ( 3 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 : 121 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(double_divide(B,C),inverse(double_divide(B,inverse(double_divide(inverse(A),C))))),
file('/tmp/MaedMax_16967') ).
cnf(eq_1,axiom,
inverse(double_divide(A,B)) = multiply(B,A),
file('/tmp/MaedMax_16967') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_16967') ).
cnf(eq_3,negated_conjecture,
inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_4,plain,
double_divide(A,inverse(double_divide(double_divide(B,C),inverse(double_divide(inverse(x102),inverse(double_divide(B,inverse(double_divide(inverse(A),C))))))))) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
double_divide(double_divide(double_divide(inverse(x102),C),inverse(double_divide(inverse(A),C))),inverse(A)) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
A = double_divide(B,inverse(double_divide(double_divide(C,x3),inverse(double_divide(inverse(A),inverse(double_divide(C,inverse(double_divide(inverse(B),x3))))))))),
eq_4 ).
cnf(eq_7,plain,
A = double_divide(double_divide(double_divide(inverse(A),B),inverse(double_divide(inverse(C),B))),inverse(C)),
eq_5 ).
cnf(eq_8,plain,
double_divide(x100,inverse(double_divide(A,inverse(double_divide(inverse(x103),inverse(double_divide(double_divide(B,C),inverse(double_divide(inverse(x100),inverse(double_divide(B,inverse(double_divide(inverse(A),C))))))))))))) = x103,
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_9,plain,
double_divide(A,inverse(double_divide(double_divide(double_divide(C,x3),inverse(double_divide(C,inverse(double_divide(inverse(inverse(x103)),x3))))),inverse(A)))) = x103,
inference(cp,[status(thm)],[eq_6,eq_6]) ).
cnf(eq_10,plain,
double_divide(x100,inverse(double_divide(double_divide(double_divide(inverse(x100),C),inverse(double_divide(inverse(A),C))),inverse(double_divide(inverse(x103),inverse(A)))))) = x103,
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_11,plain,
A = double_divide(B,inverse(double_divide(inverse(A),inverse(B)))),
inference(rw,[status(thm)],[eq_9,eq_0]) ).
cnf(eq_12,plain,
A = double_divide(B,inverse(double_divide(double_divide(double_divide(inverse(B),C),inverse(double_divide(inverse(x3),C))),inverse(double_divide(inverse(A),inverse(x3)))))),
eq_10 ).
cnf(eq_13,plain,
A = double_divide(B,inverse(double_divide(C,inverse(double_divide(inverse(A),inverse(double_divide(double_divide(x3,x4),inverse(double_divide(inverse(B),inverse(double_divide(x3,inverse(double_divide(inverse(C),x4))))))))))))),
eq_8 ).
cnf(eq_14,plain,
double_divide(x100,inverse(double_divide(A,inverse(double_divide(inverse(x102),inverse(double_divide(double_divide(double_divide(double_divide(inverse(inverse(x100)),C),inverse(double_divide(inverse(x3),C))),inverse(x3)),inverse(A)))))))) = x102,
inference(cp,[status(thm)],[eq_12,eq_13]) ).
cnf(eq_15,plain,
double_divide(double_divide(inverse(A),inverse(inverse(x101))),inverse(A)) = x101,
inference(cp,[status(thm)],[eq_11,eq_11]) ).
cnf(eq_16,plain,
double_divide(double_divide(B,inverse(B)),inverse(A)) = A,
inference(cp,[status(thm)],[eq_11,eq_0]) ).
cnf(eq_17,plain,
double_divide(double_divide(x100,inverse(double_divide(inverse(A),inverse(inverse(x102))))),inverse(double_divide(x100,inverse(A)))) = x102,
inference(cp,[status(thm)],[eq_11,eq_0]) ).
cnf(eq_18,plain,
A = double_divide(double_divide(B,inverse(double_divide(inverse(C),inverse(inverse(A))))),inverse(double_divide(B,inverse(C)))),
eq_17 ).
cnf(eq_19,plain,
A = double_divide(B,inverse(double_divide(C,inverse(double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(C)))))))),
inference(rw,[status(thm)],[eq_14,eq_7]) ).
cnf(eq_20,plain,
A = double_divide(double_divide(inverse(B),inverse(inverse(A))),inverse(B)),
eq_15 ).
cnf(eq_21,plain,
A = double_divide(B,multiply(inverse(B),inverse(A))),
inference(rw,[status(thm)],[eq_11,eq_1]) ).
cnf(eq_22,plain,
double_divide(double_divide(x100,inverse(x100)),multiply(B,A)) = double_divide(A,B),
inference(cp,[status(thm)],[eq_1,eq_16]) ).
cnf(eq_23,plain,
double_divide(A,B) = double_divide(double_divide(C,inverse(C)),multiply(B,A)),
eq_22 ).
cnf(eq_24,plain,
double_divide(double_divide(double_divide(B,inverse(B)),x101),inverse(double_divide(inverse(x102),x101))) = x102,
inference(cp,[status(thm)],[eq_16,eq_0]) ).
cnf(eq_25,plain,
A = double_divide(inverse(A),inverse(double_divide(x100,inverse(x100)))),
inference(cp,[status(thm)],[eq_11,eq_16]) ).
cnf(eq_26,plain,
double_divide(A,inverse(x102)) = double_divide(inverse(x102),inverse(inverse(A))),
inference(cp,[status(thm)],[eq_20,eq_7]) ).
cnf(eq_27,plain,
A = double_divide(inverse(A),inverse(double_divide(B,inverse(B)))),
eq_25 ).
cnf(eq_28,plain,
double_divide(A,inverse(B)) = double_divide(inverse(B),inverse(inverse(A))),
eq_26 ).
cnf(eq_29,plain,
A = double_divide(double_divide(double_divide(B,inverse(B)),C),inverse(double_divide(inverse(A),C))),
eq_24 ).
cnf(eq_30,plain,
double_divide(double_divide(A,inverse(B)),inverse(B)) = A,
inference(cp,[status(thm)],[eq_28,eq_20]) ).
cnf(eq_31,plain,
inverse(A) = multiply(multiply(inverse(B),inverse(A)),B),
inference(cp,[status(thm)],[eq_21,eq_1]) ).
cnf(eq_32,negated_conjecture,
inverse(double_divide(inverse(double_divide(b3,a3)),inverse(inverse(c3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
inference(cp,[status(thm)],[eq_28,eq_3]) ).
cnf(eq_33,plain,
A = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_20,eq_30]) ).
cnf(eq_34,plain,
double_divide(A,inverse(double_divide(B,inverse(B)))) = inverse(A),
inference(cp,[status(thm)],[eq_27,eq_30]) ).
cnf(eq_35,plain,
double_divide(A,inverse(A)) = double_divide(B,inverse(B)),
inference(cp,[status(thm)],[eq_16,eq_30]) ).
cnf(eq_36,plain,
double_divide(double_divide(double_divide(x100,inverse(x100)),inverse(inverse(A))),inverse(double_divide(A,inverse(B)))) = B,
inference(cp,[status(thm)],[eq_28,eq_29]) ).
cnf(eq_37,plain,
A = double_divide(inverse(B),inverse(double_divide(B,inverse(A)))),
inference(rw,[status(thm)],[eq_36,eq_16]) ).
cnf(eq_38,plain,
double_divide(double_divide(A,inverse(inverse(x102))),inverse(inverse(A))) = x102,
inference(cp,[status(thm)],[eq_34,eq_0]) ).
cnf(eq_39,plain,
double_divide(double_divide(x100,inverse(x100)),A) = inverse(A),
inference(cp,[status(thm)],[eq_33,eq_16]) ).
cnf(eq_40,plain,
double_divide(inverse(A),A) = double_divide(x101,inverse(x101)),
inference(cp,[status(thm)],[eq_33,eq_35]) ).
cnf(eq_41,plain,
double_divide(inverse(x100),A) = double_divide(A,inverse(x100)),
inference(cp,[status(thm)],[eq_33,eq_28]) ).
cnf(eq_42,plain,
double_divide(A,inverse(B)) = double_divide(inverse(B),A),
eq_41 ).
cnf(eq_43,plain,
double_divide(A,inverse(A)) = double_divide(inverse(B),B),
eq_40 ).
cnf(eq_44,plain,
double_divide(double_divide(A,inverse(A)),B) = inverse(B),
eq_39 ).
cnf(eq_45,negated_conjecture,
inverse(double_divide(inverse(double_divide(b3,a3)),c3)) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
inference(cp,[status(thm)],[eq_33,eq_32]) ).
cnf(eq_46,plain,
double_divide(x100,inverse(double_divide(x101,inverse(double_divide(A,inverse(A)))))) = inverse(double_divide(inverse(x100),inverse(x101))),
inference(cp,[status(thm)],[eq_43,eq_19]) ).
cnf(eq_47,plain,
double_divide(x100,A) = double_divide(inverse(inverse(A)),x100),
inference(cp,[status(thm)],[eq_33,eq_42]) ).
cnf(eq_48,plain,
A = double_divide(double_divide(B,A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_38,eq_33]),eq_33]) ).
cnf(eq_49,plain,
double_divide(A,B) = double_divide(B,A),
inference(rw,[status(thm)],[eq_47,eq_33]) ).
cnf(eq_50,plain,
double_divide(A,B) = inverse(double_divide(inverse(A),inverse(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_34]),eq_33]) ).
cnf(eq_51,negated_conjecture,
inverse(double_divide(a3,inverse(double_divide(c3,b3)))) != inverse(double_divide(inverse(double_divide(b3,a3)),c3)),
inference(cp,[status(thm)],[eq_42,eq_45]) ).
cnf(eq_52,negated_conjecture,
inverse(double_divide(inverse(double_divide(b3,a3)),c3)) != inverse(double_divide(a3,inverse(double_divide(c3,b3)))),
eq_51 ).
cnf(eq_53,plain,
A = double_divide(B,double_divide(B,A)),
inference(cp,[status(thm)],[eq_48,eq_49]) ).
cnf(eq_54,negated_conjecture,
inverse(double_divide(inverse(double_divide(a3,b3)),c3)) != inverse(double_divide(a3,inverse(double_divide(c3,b3)))),
inference(cp,[status(thm)],[eq_49,eq_52]) ).
cnf(eq_55,plain,
double_divide(inverse(B),A) = inverse(double_divide(B,inverse(A))),
inference(cp,[status(thm)],[eq_37,eq_53]) ).
cnf(eq_56,plain,
double_divide(inverse(A),B) = inverse(double_divide(A,inverse(B))),
eq_55 ).
cnf(eq_57,negated_conjecture,
inverse(double_divide(a3,inverse(double_divide(b3,c3)))) != inverse(double_divide(inverse(double_divide(a3,b3)),c3)),
inference(cp,[status(thm)],[eq_49,eq_54]) ).
cnf(eq_58,negated_conjecture,
inverse(double_divide(inverse(double_divide(a3,b3)),c3)) != inverse(double_divide(a3,inverse(double_divide(b3,c3)))),
eq_57 ).
cnf(eq_59,plain,
double_divide(A,B) = inverse(multiply(B,A)),
inference(rw,[status(thm)],[eq_23,eq_44]) ).
cnf(eq_60,negated_conjecture,
multiply(multiply(c3,b3),a3) != multiply(c3,multiply(b3,a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_61,plain,
multiply(multiply(inverse(x100),A),x100) = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_33,eq_31]) ).
cnf(eq_62,plain,
A = multiply(multiply(inverse(B),A),B),
inference(rw,[status(thm)],[eq_61,eq_33]) ).
cnf(eq_63,plain,
inverse(multiply(A,inverse(B))) = multiply(inverse(A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_59]),eq_59]),eq_33]) ).
cnf(eq_64,plain,
inverse(multiply(A,B)) = multiply(inverse(A),inverse(B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_59]),eq_59]),eq_33]) ).
cnf(eq_65,plain,
A = multiply(multiply(B,inverse(C)),multiply(multiply(A,inverse(B)),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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_33]),eq_59]),eq_59]),eq_63]),eq_33]),eq_33]),eq_59]),eq_59]),eq_63]),eq_33]),eq_33]) ).
cnf(eq_66,plain,
multiply(multiply(multiply(inverse(A),inverse(B)),x101),multiply(A,B)) = x101,
inference(cp,[status(thm)],[eq_64,eq_62]) ).
cnf(eq_67,plain,
A = multiply(multiply(multiply(inverse(B),inverse(C)),A),multiply(B,C)),
eq_66 ).
cnf(eq_68,plain,
multiply(A,multiply(x100,C)) = multiply(multiply(A,inverse(inverse(x100))),C),
inference(cp,[status(thm)],[eq_65,eq_67]) ).
cnf(eq_69,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
inference(rw,[status(thm)],[eq_68,eq_33]) ).
cnf(eq_70,negated_conjecture,
multiply(multiply(c3,b3),a3) != multiply(multiply(c3,b3),a3),
inference(cp,[status(thm)],[eq_69,eq_60]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP599-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Jul 26 04:10:10 EDT 2022
% 0.14/0.34 % CPUTime :
% 9.02/9.21 % SZS status Unsatisfiable
% 9.02/9.21 % SZS output start CNFRefutation for /tmp/MaedMax_16967
% See solution above
% 9.02/9.22
%------------------------------------------------------------------------------