TSTP Solution File: GRP500-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP500-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n005.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 07:02:50 EDT 2022
% Result : Unsatisfiable 11.39s 11.62s
% Output : CNFRefutation 11.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of clauses : 80 ( 80 unt; 0 nHn; 9 RR)
% Number of literals : 80 ( 79 equ; 8 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 241 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(inverse(B),inverse(double_divide(inverse(double_divide(B,double_divide(C,A))),double_divide(D,double_divide(C,D))))),
file('/tmp/MaedMax_11710') ).
cnf(eq_1,axiom,
inverse(double_divide(A,B)) = multiply(B,A),
file('/tmp/MaedMax_11710') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/tmp/MaedMax_11710') ).
cnf(eq_3,plain,
A = double_divide(inverse(B),multiply(double_divide(C,double_divide(D,C)),multiply(double_divide(D,A),B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_1]),eq_1]) ).
cnf(eq_4,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_5,plain,
double_divide(inverse(x100),inverse(double_divide(inverse(double_divide(x100,A)),double_divide(x103,double_divide(inverse(B),x103))))) = inverse(double_divide(inverse(double_divide(B,double_divide(C,A))),double_divide(D,double_divide(C,D)))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D)))) = double_divide(inverse(x4),inverse(double_divide(inverse(double_divide(x4,C)),double_divide(x5,double_divide(inverse(A),x5))))),
eq_5 ).
cnf(eq_7,plain,
double_divide(inverse(A),multiply(double_divide(B,double_divide(inverse(C),B)),multiply(D,A))) = multiply(double_divide(x4,double_divide(x5,x4)),multiply(double_divide(x5,D),C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_8,plain,
inverse(A) = multiply(multiply(double_divide(C,double_divide(D,C)),multiply(double_divide(D,A),B)),inverse(B)),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_9,plain,
inverse(A) = multiply(multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(C,A),D)),inverse(D)),
eq_8 ).
cnf(eq_10,plain,
double_divide(inverse(A),double_divide(inverse(x4),inverse(double_divide(inverse(double_divide(x4,C)),double_divide(x5,double_divide(inverse(A),x5)))))) = C,
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_11,plain,
double_divide(inverse(inverse(double_divide(A,double_divide(B,C)))),inverse(double_divide(double_divide(inverse(x4),inverse(double_divide(inverse(double_divide(x4,C)),double_divide(x5,double_divide(inverse(A),x5))))),double_divide(x103,double_divide(D,x103))))) = double_divide(B,D),
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_12,plain,
A = inverse(double_divide(inverse(double_divide(x103,double_divide(x104,double_divide(inverse(x103),A)))),double_divide(x105,double_divide(x104,x105)))),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_13,plain,
double_divide(inverse(inverse(double_divide(A,double_divide(B,C)))),inverse(double_divide(double_divide(inverse(x4),inverse(double_divide(inverse(double_divide(x4,C)),double_divide(x5,double_divide(inverse(A),x5))))),double_divide(x102,double_divide(inverse(x103),x102))))) = inverse(double_divide(inverse(double_divide(x103,double_divide(x104,double_divide(D,double_divide(B,D))))),double_divide(x105,double_divide(x104,x105)))),
inference(cp,[status(thm)],[eq_6,eq_6]) ).
cnf(eq_14,plain,
double_divide(A,B) = double_divide(inverse(inverse(double_divide(C,double_divide(A,D)))),inverse(double_divide(double_divide(inverse(x4),inverse(double_divide(inverse(double_divide(x4,D)),double_divide(x5,double_divide(inverse(C),x5))))),double_divide(x6,double_divide(B,x6))))),
eq_11 ).
cnf(eq_15,plain,
A = inverse(double_divide(inverse(double_divide(B,double_divide(C,double_divide(inverse(B),A)))),double_divide(D,double_divide(C,D)))),
eq_12 ).
cnf(eq_16,plain,
A = double_divide(inverse(B),double_divide(inverse(C),inverse(double_divide(inverse(double_divide(C,A)),double_divide(D,double_divide(inverse(B),D)))))),
eq_10 ).
cnf(eq_17,plain,
A = multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(C,double_divide(inverse(D),A)),D)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_1]),eq_1]) ).
cnf(eq_18,plain,
multiply(double_divide(inverse(A),multiply(double_divide(B,double_divide(inverse(C),B)),multiply(D,A))),inverse(C)) = inverse(D),
inference(cp,[status(thm)],[eq_7,eq_9]) ).
cnf(eq_19,plain,
inverse(A) = multiply(double_divide(inverse(B),multiply(double_divide(C,double_divide(inverse(D),C)),multiply(A,B))),inverse(D)),
eq_18 ).
cnf(eq_20,plain,
double_divide(inverse(multiply(double_divide(C,double_divide(inverse(D),A)),D)),multiply(double_divide(x101,double_divide(B,x101)),A)) = double_divide(C,B),
inference(cp,[status(thm)],[eq_17,eq_3]) ).
cnf(eq_21,plain,
multiply(double_divide(inverse(multiply(double_divide(C,double_divide(inverse(D),A)),D)),multiply(double_divide(x101,double_divide(inverse(x102),x101)),A)),inverse(x102)) = inverse(double_divide(B,double_divide(C,B))),
inference(cp,[status(thm)],[eq_17,eq_19]) ).
cnf(eq_22,plain,
double_divide(A,B) = double_divide(inverse(multiply(double_divide(A,double_divide(inverse(C),D)),C)),multiply(double_divide(x4,double_divide(B,x4)),D)),
eq_20 ).
cnf(eq_23,negated_conjecture,
multiply(multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(C,double_divide(a2,inverse(double_divide(b2,inverse(b2))))),D)),inverse(D)) != a2,
inference(cp,[status(thm)],[eq_9,eq_4]) ).
cnf(eq_24,negated_conjecture,
multiply(multiply(double_divide(A,double_divide(B,A)),multiply(double_divide(B,double_divide(a2,multiply(inverse(b2),b2))),C)),inverse(C)) != a2,
inference(rw,[status(thm)],[eq_23,eq_1]) ).
cnf(eq_25,plain,
double_divide(A,B) = double_divide(inverse(inverse(double_divide(C,double_divide(A,double_divide(inverse(C),D))))),inverse(double_divide(D,double_divide(x4,double_divide(B,x4))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_1]),eq_1]) ).
cnf(eq_26,plain,
double_divide(A,double_divide(inverse(x101),inverse(double_divide(inverse(double_divide(x101,x102)),double_divide(x103,double_divide(inverse(double_divide(inverse(double_divide(B,double_divide(C,double_divide(inverse(B),A)))),double_divide(D,double_divide(C,D)))),x103)))))) = x102,
inference(cp,[status(thm)],[eq_15,eq_16]) ).
cnf(eq_27,plain,
double_divide(inverse(x100),double_divide(inverse(inverse(double_divide(A,double_divide(B,C)))),inverse(double_divide(double_divide(inverse(x4),inverse(double_divide(inverse(double_divide(x4,C)),double_divide(x5,double_divide(inverse(A),x5))))),double_divide(x103,double_divide(inverse(x100),x103)))))) = double_divide(D,double_divide(B,D)),
inference(cp,[status(thm)],[eq_6,eq_16]) ).
cnf(eq_28,plain,
inverse(double_divide(inverse(double_divide(A,double_divide(B,double_divide(C,double_divide(D,C))))),double_divide(x4,double_divide(B,x4)))) = double_divide(D,inverse(A)),
inference(rw,[status(thm)],[eq_13,eq_14]) ).
cnf(eq_29,plain,
A = double_divide(B,double_divide(inverse(C),inverse(double_divide(inverse(double_divide(C,A)),double_divide(D,double_divide(B,D)))))),
inference(rw,[status(thm)],[eq_26,eq_15]) ).
cnf(eq_30,plain,
double_divide(A,double_divide(B,A)) = double_divide(inverse(C),double_divide(B,inverse(C))),
inference(rw,[status(thm)],[eq_27,eq_14]) ).
cnf(eq_31,plain,
double_divide(A,double_divide(B,A)) = double_divide(x102,double_divide(B,x102)),
inference(cp,[status(thm)],[eq_30,eq_30]) ).
cnf(eq_32,plain,
double_divide(A,double_divide(B,A)) = double_divide(C,double_divide(B,C)),
eq_31 ).
cnf(eq_33,plain,
multiply(double_divide(A,B),B) = multiply(double_divide(A,inverse(C)),inverse(C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_22]),eq_1]) ).
cnf(eq_34,plain,
inverse(double_divide(A,double_divide(B,A))) = inverse(double_divide(inverse(C),double_divide(B,inverse(C)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_1]),eq_1]) ).
cnf(eq_35,plain,
inverse(double_divide(inverse(double_divide(x100,double_divide(C,double_divide(inverse(x100),C)))),double_divide(x103,double_divide(A,x103)))) = A,
inference(cp,[status(thm)],[eq_32,eq_15]) ).
cnf(eq_36,plain,
double_divide(B,double_divide(inverse(A),double_divide(D,inverse(A)))) = double_divide(B,double_divide(C,double_divide(D,C))),
inference(cp,[status(thm)],[eq_28,eq_29]) ).
cnf(eq_37,plain,
double_divide(inverse(A),inverse(double_divide(inverse(double_divide(C,double_divide(B,C))),double_divide(x103,double_divide(B,x103))))) = A,
inference(cp,[status(thm)],[eq_32,eq_0]) ).
cnf(eq_38,plain,
A = double_divide(inverse(A),inverse(double_divide(inverse(double_divide(B,double_divide(C,B))),double_divide(D,double_divide(C,D))))),
eq_37 ).
cnf(eq_39,plain,
double_divide(A,double_divide(B,double_divide(C,B))) = double_divide(A,double_divide(inverse(D),double_divide(C,inverse(D)))),
eq_36 ).
cnf(eq_40,plain,
A = inverse(double_divide(inverse(double_divide(B,double_divide(C,double_divide(inverse(B),C)))),double_divide(D,double_divide(A,D)))),
eq_35 ).
cnf(eq_41,plain,
inverse(double_divide(A,double_divide(B,A))) = inverse(double_divide(x102,double_divide(B,x102))),
inference(cp,[status(thm)],[eq_34,eq_34]) ).
cnf(eq_42,plain,
double_divide(A,double_divide(B,double_divide(C,B))) = double_divide(A,double_divide(x103,double_divide(C,x103))),
inference(cp,[status(thm)],[eq_39,eq_39]) ).
cnf(eq_43,plain,
double_divide(A,B) = inverse(double_divide(C,double_divide(A,double_divide(inverse(C),inverse(double_divide(x101,double_divide(B,x101))))))),
inference(cp,[status(thm)],[eq_25,eq_38]) ).
cnf(eq_44,plain,
double_divide(inverse(x100),double_divide(D,inverse(double_divide(C,double_divide(D,C))))) = x100,
inference(cp,[status(thm)],[eq_28,eq_38]) ).
cnf(eq_45,plain,
A = double_divide(inverse(A),double_divide(B,inverse(double_divide(C,double_divide(B,C))))),
eq_44 ).
cnf(eq_46,plain,
inverse(double_divide(A,double_divide(B,A))) = inverse(double_divide(C,double_divide(B,C))),
eq_41 ).
cnf(eq_47,plain,
inverse(double_divide(A,double_divide(B,double_divide(inverse(A),inverse(double_divide(C,double_divide(D,C))))))) = double_divide(B,D),
eq_43 ).
cnf(eq_48,plain,
double_divide(A,double_divide(B,double_divide(C,B))) = double_divide(A,double_divide(D,double_divide(C,D))),
eq_42 ).
cnf(eq_49,plain,
multiply(double_divide(A,B),B) = multiply(double_divide(A,C),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_1]),eq_1]) ).
cnf(eq_50,plain,
double_divide(inverse(x100),double_divide(D,inverse(double_divide(double_divide(C,D),double_divide(B,double_divide(C,B)))))) = x100,
inference(cp,[status(thm)],[eq_48,eq_45]) ).
cnf(eq_51,plain,
double_divide(double_divide(B,inverse(double_divide(C,double_divide(B,C)))),A) = double_divide(x102,double_divide(inverse(A),x102)),
inference(cp,[status(thm)],[eq_45,eq_32]) ).
cnf(eq_52,plain,
A = double_divide(inverse(A),double_divide(B,inverse(double_divide(double_divide(C,B),double_divide(D,double_divide(C,D)))))),
eq_50 ).
cnf(eq_53,plain,
double_divide(A,double_divide(inverse(B),A)) = double_divide(double_divide(C,inverse(double_divide(D,double_divide(C,D)))),B),
eq_51 ).
cnf(eq_54,plain,
double_divide(inverse(inverse(double_divide(x100,double_divide(x101,double_divide(inverse(x100),x102))))),inverse(double_divide(x102,double_divide(A,double_divide(inverse(double_divide(x104,double_divide(C,inverse(double_divide(D,double_divide(C,D)))))),A))))) = double_divide(x101,x104),
inference(cp,[status(thm)],[eq_53,eq_25]) ).
cnf(eq_55,plain,
double_divide(A,B) = double_divide(A,inverse(double_divide(B,double_divide(C,inverse(double_divide(D,double_divide(C,D))))))),
inference(rw,[status(thm)],[eq_54,eq_25]) ).
cnf(eq_56,plain,
inverse(double_divide(double_divide(inverse(double_divide(C,double_divide(D,C))),D),double_divide(x102,double_divide(x103,x102)))) = x103,
inference(cp,[status(thm)],[eq_47,eq_40]) ).
cnf(eq_57,plain,
inverse(double_divide(x100,A)) = double_divide(inverse(A),inverse(x100)),
inference(cp,[status(thm)],[eq_52,eq_47]) ).
cnf(eq_58,plain,
A = inverse(double_divide(double_divide(inverse(double_divide(B,double_divide(C,B))),C),double_divide(D,double_divide(A,D)))),
eq_56 ).
cnf(eq_59,plain,
inverse(double_divide(A,B)) = double_divide(inverse(B),inverse(A)),
eq_57 ).
cnf(eq_60,negated_conjecture,
multiply(multiply(double_divide(x100,double_divide(A,x100)),multiply(double_divide(A,inverse(double_divide(double_divide(a2,multiply(inverse(b2),b2)),double_divide(C,inverse(double_divide(D,double_divide(C,D))))))),x102)),inverse(x102)) != a2,
inference(cp,[status(thm)],[eq_55,eq_24]) ).
cnf(eq_61,negated_conjecture,
inverse(inverse(double_divide(double_divide(a2,inverse(double_divide(b2,inverse(b2)))),double_divide(A,inverse(double_divide(B,double_divide(A,B))))))) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_1]),eq_1]),eq_1]),eq_1]),eq_0]) ).
cnf(eq_62,plain,
multiply(B,A) = double_divide(inverse(B),inverse(A)),
inference(rw,[status(thm)],[eq_1,eq_59]) ).
cnf(eq_63,plain,
double_divide(double_divide(inverse(A),inverse(B)),inverse(A)) = double_divide(double_divide(inverse(C),inverse(B)),inverse(C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_49,eq_62]),eq_59]),eq_62]),eq_59]) ).
cnf(eq_64,plain,
A = double_divide(inverse(A),double_divide(B,double_divide(double_divide(inverse(C),inverse(B)),inverse(C)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_45,eq_59]),eq_59]) ).
cnf(eq_65,plain,
double_divide(inverse(x100),double_divide(x101,double_divide(double_divide(inverse(double_divide(double_divide(inverse(double_divide(B,double_divide(C,B))),C),double_divide(D,double_divide(A,D)))),inverse(x101)),A))) = x100,
inference(cp,[status(thm)],[eq_58,eq_64]) ).
cnf(eq_66,plain,
double_divide(A,inverse(A)) = double_divide(double_divide(inverse(x102),inverse(double_divide(inverse(double_divide(B,double_divide(C,B))),double_divide(D,double_divide(C,D))))),inverse(x102)),
inference(cp,[status(thm)],[eq_38,eq_63]) ).
cnf(eq_67,plain,
double_divide(A,inverse(A)) = double_divide(B,inverse(B)),
inference(rw,[status(thm)],[eq_66,eq_38]) ).
cnf(eq_68,plain,
A = double_divide(inverse(A),double_divide(B,double_divide(double_divide(C,inverse(B)),C))),
inference(rw,[status(thm)],[eq_65,eq_58]) ).
cnf(eq_69,plain,
double_divide(double_divide(A,B),double_divide(inverse(B),inverse(A))) = double_divide(x101,inverse(x101)),
inference(cp,[status(thm)],[eq_59,eq_67]) ).
cnf(eq_70,plain,
A = double_divide(inverse(A),double_divide(x103,double_divide(double_divide(C,inverse(C)),x103))),
inference(cp,[status(thm)],[eq_68,eq_48]) ).
cnf(eq_71,plain,
A = double_divide(inverse(A),double_divide(B,double_divide(double_divide(C,inverse(C)),B))),
eq_70 ).
cnf(eq_72,plain,
double_divide(A,inverse(A)) = double_divide(double_divide(B,C),double_divide(inverse(C),inverse(B))),
eq_69 ).
cnf(eq_73,plain,
double_divide(inverse(x100),double_divide(inverse(double_divide(x102,inverse(x102))),double_divide(B,inverse(B)))) = x100,
inference(cp,[status(thm)],[eq_67,eq_71]) ).
cnf(eq_74,plain,
double_divide(double_divide(inverse(x101),x101),double_divide(B,inverse(B))) = double_divide(x102,inverse(x102)),
inference(cp,[status(thm)],[eq_67,eq_72]) ).
cnf(eq_75,plain,
A = double_divide(inverse(A),double_divide(double_divide(inverse(inverse(B)),inverse(B)),double_divide(C,inverse(C)))),
inference(rw,[status(thm)],[eq_73,eq_59]) ).
cnf(eq_76,plain,
double_divide(A,inverse(A)) = double_divide(double_divide(inverse(B),B),double_divide(C,inverse(C))),
eq_74 ).
cnf(eq_77,negated_conjecture,
inverse(inverse(double_divide(double_divide(a2,inverse(double_divide(double_divide(inverse(B),B),double_divide(C,inverse(C))))),double_divide(x100,inverse(double_divide(x101,double_divide(x100,x101))))))) != a2,
inference(cp,[status(thm)],[eq_76,eq_61]) ).
cnf(eq_78,negated_conjecture,
a2 != a2,
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)],[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)],[inference(rw,[status(thm)],[eq_77,eq_59]),eq_59]),eq_59]),eq_59]),eq_59]),eq_59]),eq_59]),eq_59]),eq_59]),eq_59]),eq_59]),eq_59]),eq_59]),eq_59]),eq_59]),eq_59]),eq_59]),eq_59]),eq_59]),eq_59]),eq_59]),eq_75]),eq_68]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP500-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 04:10:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 11.39/11.62 % SZS status Unsatisfiable
% 11.39/11.62 % SZS output start CNFRefutation for /tmp/MaedMax_11710
% See solution above
% 11.39/11.62
%------------------------------------------------------------------------------