TSTP Solution File: GRP480-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP480-1 : TPTP v8.1.0. Released v2.6.0.
% 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 07:02:48 EDT 2022
% Result : Unsatisfiable 5.40s 5.62s
% Output : CNFRefutation 5.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 3
% Syntax : Number of clauses : 82 ( 82 unt; 0 nHn; 9 RR)
% Number of literals : 82 ( 81 equ; 7 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 214 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(inverse(divide(divide(divide(B,B),C),divide(A,divide(C,D)))),D),
file('/tmp/MaedMax_11187') ).
cnf(eq_1,axiom,
divide(A,inverse(B)) = multiply(A,B),
file('/tmp/MaedMax_11187') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_11187') ).
cnf(eq_3,plain,
divide(inverse(divide(divide(divide(x100,x100),x101),A)),x103) = inverse(divide(divide(divide(B,B),C),divide(A,divide(C,divide(x101,x103))))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
divide(inverse(divide(divide(divide(x100,x100),inverse(divide(divide(divide(B,B),C),divide(A,divide(C,D))))),divide(x102,A))),D) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
A = divide(inverse(divide(multiply(divide(B,B),divide(divide(divide(C,C),D),divide(x4,divide(D,x5)))),divide(A,x4))),x5),
inference(rw,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_6,plain,
divide(inverse(divide(divide(divide(A,A),B),C)),D) = inverse(divide(divide(divide(x4,x4),x5),divide(C,divide(x5,divide(B,D))))),
eq_3 ).
cnf(eq_7,plain,
A = divide(inverse(divide(divide(divide(B,B),inverse(divide(divide(divide(C,C),D),divide(x4,divide(D,x5))))),divide(A,x4))),x5),
inference(rw,[status(thm)],[eq_5,eq_1]) ).
cnf(eq_8,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_9,plain,
inverse(divide(divide(divide(x4,x4),x5),divide(divide(x102,divide(B,D)),divide(x5,divide(B,D))))) = x102,
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_10,plain,
divide(divide(inverse(divide(divide(divide(A,A),B),C)),D),divide(B,D)) = C,
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_11,plain,
divide(divide(inverse(divide(divide(divide(A,A),B),C)),D),x103) = inverse(divide(divide(divide(x104,x104),x105),divide(divide(C,divide(x5,divide(B,D))),divide(x105,divide(x5,x103))))),
inference(cp,[status(thm)],[eq_6,eq_6]) ).
cnf(eq_12,plain,
divide(divide(inverse(divide(divide(divide(A,A),B),C)),D),x4) = inverse(divide(divide(divide(x5,x5),x6),divide(divide(C,divide(x7,divide(B,D))),divide(x6,divide(x7,x4))))),
eq_11 ).
cnf(eq_13,plain,
A = inverse(divide(divide(divide(B,B),C),divide(divide(A,divide(D,x4)),divide(C,divide(D,x4))))),
eq_9 ).
cnf(eq_14,plain,
A = divide(divide(inverse(divide(divide(divide(B,B),C),A)),D),divide(C,D)),
eq_10 ).
cnf(eq_15,plain,
divide(divide(A,x103),divide(C,x103)) = divide(divide(A,divide(D,x4)),divide(C,divide(D,x4))),
inference(cp,[status(thm)],[eq_13,eq_14]) ).
cnf(eq_16,plain,
divide(divide(inverse(divide(A,x102)),x103),divide(divide(C,inverse(divide(divide(divide(B,B),C),A))),x103)) = x102,
inference(cp,[status(thm)],[eq_14,eq_14]) ).
cnf(eq_17,plain,
divide(divide(divide(inverse(divide(divide(divide(A,A),B),C)),D),x4),divide(x7,x4)) = divide(C,divide(x7,divide(B,D))),
inference(cp,[status(thm)],[eq_12,eq_0]) ).
cnf(eq_18,plain,
inverse(divide(divide(divide(x4,x4),x5),divide(divide(x105,x103),divide(x5,divide(inverse(divide(divide(divide(x101,x101),x102),divide(x103,divide(x102,D)))),D))))) = x105,
inference(cp,[status(thm)],[eq_6,eq_7]) ).
cnf(eq_19,plain,
A = inverse(divide(divide(divide(B,B),C),divide(divide(A,D),divide(C,D)))),
inference(rw,[status(thm)],[eq_18,eq_0]) ).
cnf(eq_20,plain,
divide(A,divide(B,divide(C,D))) = divide(divide(divide(inverse(divide(divide(divide(x4,x4),C),A)),D),x5),divide(B,x5)),
eq_17 ).
cnf(eq_21,plain,
A = divide(divide(inverse(divide(B,A)),C),divide(divide(D,inverse(divide(divide(divide(x4,x4),D),B))),C)),
eq_16 ).
cnf(eq_22,plain,
divide(divide(A,B),divide(C,B)) = divide(divide(A,divide(D,x4)),divide(C,divide(D,x4))),
eq_15 ).
cnf(eq_23,plain,
divide(divide(A,B),divide(C,B)) = divide(divide(divide(inverse(divide(divide(divide(x104,x104),D),divide(A,divide(D,x4)))),x4),x105),divide(C,x105)),
inference(cp,[status(thm)],[eq_22,eq_20]) ).
cnf(eq_24,plain,
inverse(divide(divide(divide(x100,x100),x101),divide(multiply(A,B),divide(x101,inverse(B))))) = A,
inference(cp,[status(thm)],[eq_1,eq_19]) ).
cnf(eq_25,plain,
A = inverse(divide(divide(divide(B,B),C),divide(multiply(A,D),multiply(C,D)))),
inference(rw,[status(thm)],[eq_24,eq_1]) ).
cnf(eq_26,plain,
divide(divide(A,B),divide(C,B)) = divide(divide(A,D),divide(C,D)),
inference(rw,[status(thm)],[eq_23,eq_0]) ).
cnf(eq_27,plain,
divide(divide(inverse(divide(divide(divide(x100,x100),B),divide(C,B))),x103),divide(D,x103)) = divide(C,D),
inference(cp,[status(thm)],[eq_26,eq_14]) ).
cnf(eq_28,plain,
divide(divide(inverse(divide(divide(divide(D,B),divide(C,B)),x102)),x103),divide(divide(C,D),x103)) = x102,
inference(cp,[status(thm)],[eq_26,eq_14]) ).
cnf(eq_29,plain,
divide(A,B) = divide(divide(inverse(divide(divide(divide(C,C),D),divide(A,D))),x4),divide(B,x4)),
eq_27 ).
cnf(eq_30,plain,
A = divide(divide(inverse(divide(divide(divide(B,C),divide(D,C)),A)),x4),divide(divide(D,B),x4)),
eq_28 ).
cnf(eq_31,plain,
divide(A,divide(x103,inverse(divide(divide(divide(x104,x104),x103),divide(divide(C,C),D))))) = divide(A,D),
inference(cp,[status(thm)],[eq_29,eq_21]) ).
cnf(eq_32,plain,
divide(A,B) = divide(A,divide(C,inverse(divide(divide(divide(D,D),C),divide(divide(x4,x4),B))))),
eq_31 ).
cnf(eq_33,plain,
inverse(divide(multiply(divide(x100,x100),B),divide(multiply(x102,x103),multiply(inverse(B),x103)))) = x102,
inference(cp,[status(thm)],[eq_1,eq_25]) ).
cnf(eq_34,plain,
A = inverse(divide(multiply(divide(B,B),C),divide(multiply(A,D),multiply(inverse(C),D)))),
eq_33 ).
cnf(eq_35,plain,
divide(x100,divide(D,inverse(divide(divide(divide(x102,x102),B),divide(divide(x103,x103),B))))) = divide(x100,D),
inference(cp,[status(thm)],[eq_26,eq_32]) ).
cnf(eq_36,plain,
divide(divide(inverse(divide(divide(divide(x100,x101),divide(x102,x101)),B)),x104),divide(divide(x102,x100),x104)) = divide(C,inverse(divide(divide(divide(D,D),C),divide(divide(x4,x4),B)))),
inference(cp,[status(thm)],[eq_32,eq_30]) ).
cnf(eq_37,plain,
A = divide(B,inverse(divide(divide(divide(C,C),B),divide(divide(D,D),A)))),
inference(rw,[status(thm)],[eq_36,eq_30]) ).
cnf(eq_38,plain,
divide(A,B) = divide(A,divide(B,inverse(divide(divide(divide(C,C),D),divide(divide(x4,x4),D))))),
eq_35 ).
cnf(eq_39,plain,
A = multiply(B,divide(divide(divide(C,C),B),divide(divide(D,D),A))),
inference(rw,[status(thm)],[eq_37,eq_1]) ).
cnf(eq_40,plain,
divide(x100,A) = divide(x100,inverse(divide(divide(divide(B,B),C),divide(A,divide(C,inverse(divide(divide(divide(x102,x102),x103),divide(divide(x104,x104),x103)))))))),
inference(cp,[status(thm)],[eq_0,eq_38]) ).
cnf(eq_41,plain,
divide(D,inverse(divide(divide(divide(x101,x101),B),divide(divide(x102,x102),B)))) = D,
inference(cp,[status(thm)],[eq_26,eq_37]) ).
cnf(eq_42,plain,
divide(x100,inverse(divide(divide(divide(x101,x101),x100),divide(divide(D,B),divide(C,B))))) = divide(C,D),
inference(cp,[status(thm)],[eq_26,eq_37]) ).
cnf(eq_43,plain,
divide(inverse(divide(divide(divide(x100,x100),x104),divide(x105,divide(D,D)))),x104) = x105,
inference(cp,[status(thm)],[eq_37,eq_7]) ).
cnf(eq_44,plain,
divide(A,B) = divide(A,inverse(divide(divide(divide(C,C),D),divide(B,D)))),
inference(rw,[status(thm)],[eq_40,eq_38]) ).
cnf(eq_45,plain,
divide(A,B) = divide(C,inverse(divide(divide(divide(D,D),C),divide(divide(B,x4),divide(A,x4))))),
eq_42 ).
cnf(eq_46,plain,
A = divide(A,inverse(divide(divide(divide(B,B),C),divide(divide(D,D),C)))),
eq_41 ).
cnf(eq_47,plain,
A = divide(inverse(divide(divide(divide(B,B),C),divide(A,divide(D,D)))),C),
eq_43 ).
cnf(eq_48,plain,
A = divide(A,divide(B,B)),
inference(rw,[status(thm)],[eq_46,eq_44]) ).
cnf(eq_49,plain,
divide(A,B) = divide(divide(A,x4),divide(B,x4)),
inference(cp,[status(thm)],[eq_45,eq_44]) ).
cnf(eq_50,plain,
divide(A,divide(divide(x103,inverse(divide(divide(divide(x104,x104),x103),divide(divide(B,B),C)))),C)) = divide(A,divide(D,D)),
inference(cp,[status(thm)],[eq_47,eq_21]) ).
cnf(eq_51,plain,
divide(A,B) = divide(divide(A,C),divide(B,C)),
eq_49 ).
cnf(eq_52,plain,
divide(A,divide(B,B)) = divide(A,divide(C,C)),
inference(rw,[status(thm)],[eq_50,eq_37]) ).
cnf(eq_53,plain,
inverse(divide(divide(x100,x100),x102)) = x102,
inference(cp,[status(thm)],[eq_48,eq_19]) ).
cnf(eq_54,plain,
multiply(x100,divide(divide(divide(x101,x101),x100),divide(divide(x102,x102),divide(B,B)))) = divide(C,C),
inference(cp,[status(thm)],[eq_52,eq_39]) ).
cnf(eq_55,plain,
divide(A,A) = divide(B,B),
inference(rw,[status(thm)],[eq_54,eq_39]) ).
cnf(eq_56,plain,
A = inverse(divide(divide(B,B),A)),
eq_53 ).
cnf(eq_57,negated_conjecture,
divide(divide(divide(a3,inverse(b3)),C),divide(inverse(c3),C)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(cp,[status(thm)],[eq_51,eq_8]) ).
cnf(eq_58,negated_conjecture,
divide(divide(multiply(a3,b3),A),divide(inverse(c3),A)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_1]),eq_1]),eq_1]) ).
cnf(eq_59,plain,
divide(divide(B,B),divide(x102,A)) = divide(A,x102),
inference(cp,[status(thm)],[eq_55,eq_51]) ).
cnf(eq_60,plain,
inverse(divide(C,B)) = divide(B,C),
inference(cp,[status(thm)],[eq_51,eq_56]) ).
cnf(eq_61,plain,
inverse(A) = inverse(divide(divide(divide(C,C),divide(x100,x100)),divide(divide(D,D),A))),
inference(cp,[status(thm)],[eq_37,eq_56]) ).
cnf(eq_62,plain,
divide(A,B) = inverse(divide(B,A)),
eq_60 ).
cnf(eq_63,plain,
divide(A,B) = divide(divide(C,C),divide(B,A)),
eq_59 ).
cnf(eq_64,plain,
divide(divide(A,A),B) = inverse(B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_61,eq_48]),eq_56]) ).
cnf(eq_65,plain,
divide(divide(x101,x101),inverse(divide(A,divide(x102,x102)))) = A,
inference(cp,[status(thm)],[eq_63,eq_37]) ).
cnf(eq_66,plain,
divide(divide(x100,B),inverse(B)) = divide(x100,divide(A,A)),
inference(cp,[status(thm)],[eq_64,eq_51]) ).
cnf(eq_67,plain,
inverse(inverse(B)) = B,
inference(cp,[status(thm)],[eq_64,eq_56]) ).
cnf(eq_68,plain,
A = divide(divide(B,B),inverse(A)),
inference(rw,[status(thm)],[eq_65,eq_48]) ).
cnf(eq_69,plain,
A = inverse(inverse(A)),
eq_67 ).
cnf(eq_70,plain,
A = divide(divide(A,B),inverse(B)),
inference(rw,[status(thm)],[eq_66,eq_48]) ).
cnf(eq_71,plain,
A = divide(divide(A,inverse(B)),B),
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_68]),eq_51]),eq_62]) ).
cnf(eq_72,plain,
A = divide(inverse(divide(inverse(B),A)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_64]),eq_48]) ).
cnf(eq_73,plain,
divide(A,inverse(B)) = inverse(divide(inverse(B),A)),
inference(cp,[status(thm)],[eq_72,eq_70]) ).
cnf(eq_74,plain,
A = divide(multiply(A,B),B),
inference(rw,[status(thm)],[eq_71,eq_1]) ).
cnf(eq_75,plain,
divide(x100,A) = multiply(x100,inverse(A)),
inference(cp,[status(thm)],[eq_69,eq_1]) ).
cnf(eq_76,plain,
divide(A,B) = multiply(A,inverse(B)),
eq_75 ).
cnf(eq_77,negated_conjecture,
divide(a3,divide(inverse(c3),b3)) != multiply(a3,multiply(b3,c3)),
inference(cp,[status(thm)],[eq_74,eq_58]) ).
cnf(eq_78,plain,
inverse(multiply(inverse(A),inverse(B))) = multiply(B,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_73,eq_76]),eq_69]),eq_76]) ).
cnf(eq_79,negated_conjecture,
multiply(a3,inverse(multiply(inverse(c3),inverse(b3)))) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_77,eq_76]),eq_76]) ).
cnf(eq_80,negated_conjecture,
multiply(a3,inverse(multiply(inverse(c3),inverse(b3)))) != multiply(a3,inverse(multiply(inverse(c3),inverse(b3)))),
inference(cp,[status(thm)],[eq_78,eq_79]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP480-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.13 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n029.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 04:33:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.40/5.62 % SZS status Unsatisfiable
% 5.40/5.62 % SZS output start CNFRefutation for /tmp/MaedMax_11187
% See solution above
% 5.40/5.62
%------------------------------------------------------------------------------