TSTP Solution File: GRP468-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP468-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n011.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 07:02:47 EDT 2022
% Result : Unsatisfiable 7.68s 7.90s
% Output : CNFRefutation 7.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of clauses : 91 ( 91 unt; 0 nHn; 15 RR)
% Number of literals : 91 ( 90 equ; 13 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 : 217 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(divide(B,B),divide(C,divide(divide(A,divide(D,C)),inverse(D)))),
file('/tmp/MaedMax_11379') ).
cnf(eq_1,axiom,
divide(A,inverse(B)) = multiply(A,B),
file('/tmp/MaedMax_11379') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_11379') ).
cnf(eq_3,plain,
A = divide(divide(B,B),divide(C,multiply(divide(A,divide(D,C)),D))),
inference(rw,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_4,negated_conjecture,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
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_5,plain,
divide(divide(x100,x100),divide(divide(divide(A,divide(D,C)),inverse(D)),divide(A,inverse(C)))) = divide(B,B),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
divide(A,A) = divide(divide(B,B),divide(divide(divide(C,divide(D,x4)),inverse(D)),divide(C,inverse(x4)))),
eq_5 ).
cnf(eq_7,plain,
divide(A,A) = divide(divide(B,B),divide(multiply(divide(C,divide(D,x4)),D),multiply(C,x4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_1]),eq_1]) ).
cnf(eq_8,plain,
divide(divide(x100,x100),divide(inverse(B),multiply(divide(x102,multiply(A,B)),A))) = x102,
inference(cp,[status(thm)],[eq_1,eq_3]) ).
cnf(eq_9,plain,
A = divide(divide(B,B),divide(inverse(C),multiply(divide(A,multiply(D,C)),D))),
eq_8 ).
cnf(eq_10,plain,
divide(A,A) = divide(x104,x104),
inference(cp,[status(thm)],[eq_6,eq_6]) ).
cnf(eq_11,plain,
divide(A,A) = divide(B,B),
eq_10 ).
cnf(eq_12,plain,
divide(divide(x100,x100),divide(x101,multiply(divide(B,B),x103))) = divide(x103,x101),
inference(cp,[status(thm)],[eq_11,eq_3]) ).
cnf(eq_13,plain,
divide(divide(x100,x100),divide(A,multiply(divide(x102,divide(B,B)),A))) = x102,
inference(cp,[status(thm)],[eq_11,eq_3]) ).
cnf(eq_14,plain,
divide(divide(x100,x100),divide(inverse(x101),multiply(divide(B,B),x103))) = multiply(x103,x101),
inference(cp,[status(thm)],[eq_11,eq_9]) ).
cnf(eq_15,plain,
multiply(inverse(B),B) = divide(x101,x101),
inference(cp,[status(thm)],[eq_1,eq_11]) ).
cnf(eq_16,plain,
divide(A,A) = multiply(inverse(B),B),
eq_15 ).
cnf(eq_17,plain,
A = divide(divide(B,B),divide(C,multiply(divide(A,divide(D,D)),C))),
eq_13 ).
cnf(eq_18,plain,
divide(A,B) = divide(divide(C,C),divide(B,multiply(divide(D,D),A))),
eq_12 ).
cnf(eq_19,plain,
divide(divide(A,A),divide(inverse(B),multiply(divide(C,C),D))) = multiply(D,B),
eq_14 ).
cnf(eq_20,plain,
multiply(inverse(B),B) = multiply(inverse(x101),x101),
inference(cp,[status(thm)],[eq_16,eq_1]) ).
cnf(eq_21,plain,
divide(A,multiply(divide(D,D),A)) = divide(x101,x101),
inference(cp,[status(thm)],[eq_18,eq_11]) ).
cnf(eq_22,plain,
divide(A,A) = divide(x4,multiply(divide(divide(x102,x102),divide(D,x4)),D)),
inference(cp,[status(thm)],[eq_7,eq_18]) ).
cnf(eq_23,plain,
divide(divide(x100,x100),divide(B,B)) = divide(x103,multiply(divide(x102,x102),x103)),
inference(cp,[status(thm)],[eq_11,eq_18]) ).
cnf(eq_24,plain,
divide(A,A) = divide(B,multiply(divide(divide(C,C),divide(D,B)),D)),
eq_22 ).
cnf(eq_25,plain,
divide(A,A) = divide(B,multiply(divide(C,C),B)),
eq_21 ).
cnf(eq_26,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
eq_20 ).
cnf(eq_27,plain,
divide(A,multiply(divide(B,B),A)) = divide(divide(C,C),divide(D,D)),
eq_23 ).
cnf(eq_28,negated_conjecture,
divide(divide(C,C),divide(inverse(divide(b3,inverse(c3))),multiply(divide(D,D),a3))) != divide(divide(a3,inverse(b3)),inverse(c3)),
inference(cp,[status(thm)],[eq_18,eq_4]) ).
cnf(eq_29,negated_conjecture,
divide(divide(A,A),divide(inverse(multiply(b3,c3)),multiply(divide(B,B),a3))) != multiply(multiply(a3,b3),c3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_1]),eq_1]),eq_1]) ).
cnf(eq_30,plain,
divide(A,divide(divide(B,B),inverse(A))) = divide(divide(C,C),divide(D,D)),
inference(rw,[status(thm)],[eq_27,eq_1]) ).
cnf(eq_31,plain,
A = divide(divide(B,B),divide(C,divide(divide(A,divide(D,D)),inverse(C)))),
inference(rw,[status(thm)],[eq_17,eq_1]) ).
cnf(eq_32,negated_conjecture,
divide(divide(A,A),divide(inverse(divide(b3,inverse(c3))),divide(divide(B,B),inverse(a3)))) != divide(divide(a3,inverse(b3)),inverse(c3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_33,negated_conjecture,
divide(divide(x100,x100),divide(inverse(divide(b3,inverse(c3))),divide(divide(divide(B,B),divide(divide(divide(C,divide(D,x4)),inverse(D)),divide(C,inverse(x4)))),inverse(a3)))) != divide(divide(a3,inverse(b3)),inverse(c3)),
inference(cp,[status(thm)],[eq_6,eq_32]) ).
cnf(eq_34,negated_conjecture,
divide(divide(A,A),divide(inverse(divide(b3,inverse(c3))),divide(divide(divide(B,B),divide(divide(divide(C,divide(D,x4)),inverse(D)),divide(C,inverse(x4)))),inverse(a3)))) != divide(divide(a3,inverse(b3)),inverse(c3)),
eq_33 ).
cnf(eq_35,plain,
divide(divide(C,C),divide(D,D)) = divide(divide(x102,x102),divide(x103,x103)),
inference(cp,[status(thm)],[eq_30,eq_30]) ).
cnf(eq_36,plain,
divide(divide(A,A),divide(B,B)) = divide(divide(C,C),divide(D,D)),
eq_35 ).
cnf(eq_37,negated_conjecture,
divide(divide(A,A),divide(inverse(multiply(b3,c3)),multiply(divide(divide(B,B),divide(multiply(divide(C,divide(D,x4)),D),multiply(C,x4))),a3))) != multiply(multiply(a3,b3),c3),
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_34,eq_1]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_38,plain,
divide(divide(x100,x100),divide(inverse(D),multiply(divide(A,A),divide(divide(C,C),divide(D,B))))) = B,
inference(cp,[status(thm)],[eq_24,eq_9]) ).
cnf(eq_39,plain,
divide(divide(x100,x100),divide(inverse(B),multiply(divide(A,A),divide(C,C)))) = B,
inference(cp,[status(thm)],[eq_25,eq_9]) ).
cnf(eq_40,plain,
multiply(inverse(B),B) = divide(divide(x102,x102),divide(x103,x103)),
inference(cp,[status(thm)],[eq_16,eq_36]) ).
cnf(eq_41,plain,
divide(divide(A,A),divide(B,B)) = multiply(inverse(C),C),
eq_40 ).
cnf(eq_42,plain,
A = multiply(divide(divide(B,B),divide(C,A)),C),
inference(rw,[status(thm)],[eq_38,eq_19]) ).
cnf(eq_43,plain,
A = multiply(divide(B,B),A),
inference(rw,[status(thm)],[eq_39,eq_19]) ).
cnf(eq_44,plain,
divide(divide(x100,x100),divide(x101,A)) = divide(A,x101),
inference(cp,[status(thm)],[eq_43,eq_3]) ).
cnf(eq_45,plain,
multiply(multiply(inverse(C),C),x101) = x101,
inference(cp,[status(thm)],[eq_41,eq_43]) ).
cnf(eq_46,plain,
multiply(divide(A,B),B) = multiply(divide(D,D),A),
inference(cp,[status(thm)],[eq_18,eq_42]) ).
cnf(eq_47,plain,
multiply(A,inverse(C)) = multiply(divide(A,multiply(D,C)),D),
inference(cp,[status(thm)],[eq_9,eq_42]) ).
cnf(eq_48,plain,
multiply(A,C) = multiply(divide(A,divide(D,D)),C),
inference(cp,[status(thm)],[eq_17,eq_42]) ).
cnf(eq_49,plain,
multiply(A,C) = multiply(divide(A,divide(D,C)),D),
inference(cp,[status(thm)],[eq_3,eq_42]) ).
cnf(eq_50,plain,
multiply(A,B) = multiply(divide(A,divide(C,B)),C),
eq_49 ).
cnf(eq_51,plain,
multiply(divide(A,A),B) = multiply(divide(B,C),C),
eq_46 ).
cnf(eq_52,plain,
A = multiply(multiply(inverse(B),B),A),
eq_45 ).
cnf(eq_53,plain,
multiply(A,inverse(B)) = multiply(divide(A,multiply(C,B)),C),
eq_47 ).
cnf(eq_54,plain,
divide(A,B) = divide(divide(C,C),divide(B,A)),
eq_44 ).
cnf(eq_55,plain,
multiply(A,B) = multiply(divide(A,divide(C,C)),B),
eq_48 ).
cnf(eq_56,plain,
A = multiply(divide(A,B),B),
inference(rw,[status(thm)],[eq_51,eq_43]) ).
cnf(eq_57,plain,
A = divide(divide(B,B),divide(C,multiply(A,C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_1]),eq_55]) ).
cnf(eq_58,plain,
divide(multiply(divide(x102,multiply(x103,x101)),x103),inverse(x101)) = x102,
inference(cp,[status(thm)],[eq_54,eq_9]) ).
cnf(eq_59,plain,
A = multiply(multiply(divide(A,multiply(B,C)),B),C),
inference(rw,[status(thm)],[eq_58,eq_1]) ).
cnf(eq_60,plain,
divide(multiply(x102,B),B) = x102,
inference(cp,[status(thm)],[eq_54,eq_57]) ).
cnf(eq_61,plain,
multiply(multiply(A,B),inverse(B)) = A,
inference(cp,[status(thm)],[eq_1,eq_56]) ).
cnf(eq_62,plain,
multiply(divide(A,B),divide(B,A)) = divide(C,C),
inference(cp,[status(thm)],[eq_54,eq_56]) ).
cnf(eq_63,plain,
multiply(multiply(A,inverse(B)),B) = A,
inference(cp,[status(thm)],[eq_53,eq_59]) ).
cnf(eq_64,plain,
A = divide(multiply(A,B),B),
eq_60 ).
cnf(eq_65,plain,
divide(A,A) = multiply(divide(B,C),divide(C,B)),
eq_62 ).
cnf(eq_66,plain,
divide(A,B) = multiply(A,inverse(B)),
inference(cp,[status(thm)],[eq_63,eq_64]) ).
cnf(eq_67,plain,
multiply(divide(A,A),inverse(divide(C,B))) = divide(B,C),
inference(cp,[status(thm)],[eq_65,eq_61]) ).
cnf(eq_68,plain,
A = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_52,eq_63]) ).
cnf(eq_69,plain,
multiply(divide(divide(C,multiply(A,C)),divide(B,B)),A) = divide(x102,x102),
inference(cp,[status(thm)],[eq_57,eq_65]) ).
cnf(eq_70,plain,
divide(A,A) = multiply(B,inverse(B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_69,eq_55]),eq_53]) ).
cnf(eq_71,plain,
divide(A,B) = inverse(divide(B,A)),
inference(rw,[status(thm)],[eq_67,eq_43]) ).
cnf(eq_72,plain,
multiply(multiply(B,inverse(B)),A) = A,
inference(cp,[status(thm)],[eq_70,eq_56]) ).
cnf(eq_73,plain,
inverse(A) = divide(B,multiply(A,B)),
inference(cp,[status(thm)],[eq_64,eq_71]) ).
cnf(eq_74,plain,
divide(A,multiply(B,A)) = inverse(B),
eq_73 ).
cnf(eq_75,plain,
inverse(A) = multiply(B,inverse(multiply(A,B))),
inference(rw,[status(thm)],[eq_74,eq_66]) ).
cnf(eq_76,negated_conjecture,
inverse(multiply(inverse(multiply(b3,c3)),inverse(multiply(inverse(multiply(multiply(multiply(A,inverse(multiply(B,inverse(C)))),B),inverse(multiply(A,C)))),a3)))) != multiply(multiply(a3,b3),c3),
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_37,eq_66]),eq_66]),eq_66]),eq_66]),eq_66]),eq_66]),eq_72]),eq_66]),eq_66]),eq_72]) ).
cnf(eq_77,plain,
multiply(inverse(B),inverse(A)) = inverse(multiply(A,B)),
inference(cp,[status(thm)],[eq_61,eq_75]) ).
cnf(eq_78,plain,
multiply(inverse(A),inverse(inverse(multiply(A,B)))) = B,
inference(cp,[status(thm)],[eq_75,eq_61]) ).
cnf(eq_79,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(rw,[status(thm)],[eq_78,eq_68]) ).
cnf(eq_80,plain,
inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)),
eq_77 ).
cnf(eq_81,plain,
multiply(A,multiply(inverse(A),x101)) = x101,
inference(cp,[status(thm)],[eq_68,eq_79]) ).
cnf(eq_82,plain,
A = multiply(B,multiply(inverse(B),A)),
eq_81 ).
cnf(eq_83,plain,
multiply(A,B) = multiply(multiply(A,multiply(B,inverse(C))),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_66]),eq_66]),eq_80]),eq_68]) ).
cnf(eq_84,negated_conjecture,
multiply(multiply(multiply(multiply(A,B),multiply(inverse(C),multiply(multiply(C,inverse(B)),inverse(A)))),a3),multiply(b3,c3)) != multiply(multiply(a3,b3),c3),
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)],[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_76,eq_80]),eq_80]),eq_80]),eq_68]),eq_80]),eq_80]),eq_80]),eq_68]),eq_68]),eq_80]),eq_80]),eq_68]),eq_80]),eq_80]),eq_80]),eq_80]),eq_80]),eq_68]),eq_68]),eq_80]),eq_68]),eq_80]),eq_80]),eq_80]),eq_80]),eq_68]),eq_68]),eq_68]),eq_80]),eq_80]),eq_68]),eq_68]),eq_80]),eq_80]),eq_68]) ).
cnf(eq_85,negated_conjecture,
multiply(multiply(multiply(multiply(x100,x101),multiply(inverse(inverse(inverse(x101))),multiply(multiply(inverse(A),A),inverse(x100)))),a3),multiply(b3,c3)) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_26,eq_84]) ).
cnf(eq_86,negated_conjecture,
multiply(multiply(multiply(multiply(A,B),multiply(inverse(B),inverse(A))),a3),multiply(b3,c3)) != multiply(multiply(a3,b3),c3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_85,eq_68]),eq_52]) ).
cnf(eq_87,plain,
multiply(multiply(x100,A),B) = multiply(x100,multiply(A,B)),
inference(cp,[status(thm)],[eq_61,eq_83]) ).
cnf(eq_88,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
eq_87 ).
cnf(eq_89,negated_conjecture,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_86,eq_88]),eq_82]),eq_88]),eq_82]),eq_88]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP468-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n011.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 04:11:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 7.68/7.90 % SZS status Unsatisfiable
% 7.68/7.90 % SZS output start CNFRefutation for /tmp/MaedMax_11379
% See solution above
% 7.68/7.90
%------------------------------------------------------------------------------