TSTP Solution File: GRP476-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP476-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n012.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 3.32s 3.51s
% Output : CNFRefutation 3.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 3
% Syntax : Number of clauses : 77 ( 77 unt; 0 nHn; 16 RR)
% Number of literals : 77 ( 76 equ; 13 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 2 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 : 222 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(inverse(divide(divide(divide(B,C),D),divide(A,D))),divide(C,B)),
file('/tmp/MaedMax_21594') ).
cnf(eq_1,axiom,
divide(A,inverse(B)) = multiply(A,B),
file('/tmp/MaedMax_21594') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/tmp/MaedMax_21594') ).
cnf(eq_3,plain,
divide(inverse(divide(divide(A,x102),divide(x103,x102))),divide(divide(C,B),inverse(divide(divide(divide(B,C),D),divide(A,D))))) = x103,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
divide(inverse(divide(divide(divide(x100,x101),divide(C,B)),A)),divide(x101,x100)) = inverse(divide(divide(divide(B,C),D),divide(A,D))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
divide(inverse(divide(divide(divide(x100,x101),inverse(B)),multiply(A,B))),divide(x101,x100)) = A,
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_6,plain,
divide(inverse(divide(divide(divide(divide(C,B),inverse(divide(divide(divide(B,C),D),divide(A,D)))),x102),divide(x103,x102))),A) = x103,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_7,plain,
A = divide(inverse(divide(divide(multiply(divide(B,C),divide(divide(divide(C,B),D),divide(x4,D))),x5),divide(A,x5))),x4),
inference(rw,[status(thm)],[eq_6,eq_1]) ).
cnf(eq_8,plain,
A = divide(inverse(divide(multiply(divide(B,C),D),multiply(A,D))),divide(C,B)),
inference(rw,[status(thm)],[eq_5,eq_1]) ).
cnf(eq_9,plain,
divide(inverse(divide(divide(divide(A,B),divide(C,D)),x4)),divide(B,A)) = inverse(divide(divide(divide(D,C),x5),divide(x4,x5))),
eq_4 ).
cnf(eq_10,plain,
A = divide(inverse(divide(divide(B,C),divide(A,C))),multiply(divide(D,x4),divide(divide(divide(x4,D),x5),divide(B,x5)))),
inference(rw,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_11,plain,
A = divide(inverse(divide(divide(divide(divide(B,C),inverse(divide(divide(divide(C,B),D),divide(x4,D)))),x5),divide(A,x5))),x4),
inference(rw,[status(thm)],[eq_7,eq_1]) ).
cnf(eq_12,plain,
A = divide(inverse(divide(divide(B,C),divide(A,C))),divide(divide(D,x4),inverse(divide(divide(divide(x4,D),x5),divide(B,x5))))),
inference(rw,[status(thm)],[eq_10,eq_1]) ).
cnf(eq_13,negated_conjecture,
divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]) ).
cnf(eq_14,plain,
divide(divide(inverse(divide(divide(divide(A,B),divide(C,D)),x4)),divide(B,A)),divide(C,D)) = x4,
inference(cp,[status(thm)],[eq_9,eq_0]) ).
cnf(eq_15,plain,
A = inverse(divide(divide(divide(x103,x102),x105),divide(divide(A,divide(x102,x103)),x105))),
inference(cp,[status(thm)],[eq_0,eq_9]) ).
cnf(eq_16,plain,
A = inverse(divide(divide(divide(B,C),D),divide(divide(A,divide(C,B)),D))),
eq_15 ).
cnf(eq_17,plain,
A = divide(divide(inverse(divide(divide(divide(B,C),divide(D,x4)),A)),divide(C,B)),divide(D,x4)),
eq_14 ).
cnf(eq_18,plain,
divide(divide(inverse(divide(divide(divide(x100,x101),A),x104)),divide(x101,x100)),divide(inverse(divide(multiply(divide(B,C),D),multiply(A,D))),divide(C,B))) = x104,
inference(cp,[status(thm)],[eq_8,eq_17]) ).
cnf(eq_19,plain,
divide(inverse(divide(multiply(multiply(A,B),x102),multiply(x103,x102))),divide(inverse(B),A)) = x103,
inference(cp,[status(thm)],[eq_1,eq_8]) ).
cnf(eq_20,plain,
inverse(divide(divide(divide(divide(C,B),inverse(divide(divide(divide(B,C),D),divide(A,D)))),x102),divide(divide(x103,A),x102))) = x103,
inference(cp,[status(thm)],[eq_0,eq_16]) ).
cnf(eq_21,plain,
A = divide(divide(inverse(divide(divide(divide(B,C),D),A)),divide(C,B)),D),
inference(rw,[status(thm)],[eq_18,eq_8]) ).
cnf(eq_22,plain,
A = divide(inverse(divide(multiply(multiply(B,C),D),multiply(A,D))),divide(inverse(C),B)),
eq_19 ).
cnf(eq_23,plain,
divide(A,divide(divide(x103,x104),inverse(divide(divide(divide(x104,x103),x105),divide(divide(B,C),x105))))) = divide(A,divide(C,B)),
inference(cp,[status(thm)],[eq_16,eq_12]) ).
cnf(eq_24,plain,
inverse(divide(divide(A,x102),divide(divide(x103,divide(D,divide(inverse(divide(divide(divide(B,C),D),A)),divide(C,B)))),x102))) = x103,
inference(cp,[status(thm)],[eq_21,eq_16]) ).
cnf(eq_25,plain,
divide(divide(inverse(divide(A,x103)),divide(divide(C,B),inverse(divide(divide(divide(B,C),D),A)))),D) = x103,
inference(cp,[status(thm)],[eq_21,eq_21]) ).
cnf(eq_26,plain,
A = inverse(divide(divide(B,C),divide(divide(A,divide(D,divide(inverse(divide(divide(divide(x4,x5),D),B)),divide(x5,x4)))),C))),
eq_24 ).
cnf(eq_27,plain,
divide(A,divide(B,C)) = divide(A,divide(divide(D,x4),inverse(divide(divide(divide(x4,D),x5),divide(divide(C,B),x5))))),
eq_23 ).
cnf(eq_28,plain,
A = divide(divide(inverse(divide(B,A)),divide(divide(C,D),inverse(divide(divide(divide(D,C),x4),B)))),x4),
eq_25 ).
cnf(eq_29,plain,
A = inverse(divide(divide(divide(divide(B,C),inverse(divide(divide(divide(C,B),D),divide(x4,D)))),x5),divide(divide(A,x4),x5))),
eq_20 ).
cnf(eq_30,plain,
divide(divide(inverse(divide(A,divide(B,C))),divide(divide(x102,x103),inverse(divide(divide(divide(x103,x102),x104),A)))),x104) = divide(divide(D,x4),inverse(divide(divide(divide(x4,D),x5),divide(divide(C,B),x5)))),
inference(cp,[status(thm)],[eq_27,eq_28]) ).
cnf(eq_31,plain,
divide(A,B) = divide(divide(C,D),inverse(divide(divide(divide(D,C),x4),divide(divide(B,A),x4)))),
inference(rw,[status(thm)],[eq_30,eq_28]) ).
cnf(eq_32,plain,
divide(divide(inverse(multiply(divide(divide(x100,x101),x102),B)),divide(x101,x100)),x102) = inverse(B),
inference(cp,[status(thm)],[eq_1,eq_21]) ).
cnf(eq_33,plain,
divide(divide(inverse(multiply(divide(divide(A,B),C),D)),divide(B,A)),C) = inverse(D),
eq_32 ).
cnf(eq_34,plain,
divide(divide(C,D),divide(inverse(divide(divide(divide(A,B),divide(C,D)),divide(x103,x104))),divide(B,A))) = divide(x104,x103),
inference(cp,[status(thm)],[eq_9,eq_31]) ).
cnf(eq_35,plain,
divide(inverse(divide(divide(A,B),divide(x105,inverse(divide(divide(divide(inverse(divide(divide(divide(x101,x100),x102),divide(x103,x102))),divide(x100,x101)),x4),divide(divide(B,A),x4)))))),x103) = x105,
inference(cp,[status(thm)],[eq_31,eq_11]) ).
cnf(eq_36,plain,
inverse(divide(divide(A,B),divide(divide(x105,x103),inverse(divide(divide(divide(inverse(divide(divide(divide(x101,x100),x102),divide(x103,x102))),divide(x100,x101)),x4),divide(divide(B,A),x4)))))) = x105,
inference(cp,[status(thm)],[eq_31,eq_29]) ).
cnf(eq_37,plain,
divide(A,B) = divide(divide(C,D),divide(inverse(divide(divide(divide(x4,x5),divide(C,D)),divide(B,A))),divide(x5,x4))),
eq_34 ).
cnf(eq_38,plain,
A = divide(inverse(divide(divide(B,C),divide(A,inverse(divide(divide(D,x4),divide(divide(C,B),x4)))))),D),
inference(rw,[status(thm)],[eq_35,eq_0]) ).
cnf(eq_39,plain,
A = inverse(divide(divide(B,C),divide(divide(A,D),inverse(divide(divide(D,x4),divide(divide(C,B),x4)))))),
inference(rw,[status(thm)],[eq_36,eq_0]) ).
cnf(eq_40,plain,
divide(divide(divide(inverse(divide(divide(divide(B,C),D),A)),divide(C,B)),D),divide(inverse(divide(divide(divide(x102,x103),A),divide(x104,x105))),divide(x103,x102))) = divide(x105,x104),
inference(cp,[status(thm)],[eq_21,eq_37]) ).
cnf(eq_41,plain,
divide(inverse(divide(divide(A,B),divide(A,B))),divide(D,C)) = divide(C,D),
inference(cp,[status(thm)],[eq_31,eq_38]) ).
cnf(eq_42,plain,
divide(A,B) = divide(C,divide(inverse(divide(divide(divide(D,x4),C),divide(B,A))),divide(x4,D))),
inference(rw,[status(thm)],[eq_40,eq_21]) ).
cnf(eq_43,plain,
divide(A,B) = divide(inverse(divide(divide(C,D),divide(C,D))),divide(B,A)),
eq_41 ).
cnf(eq_44,negated_conjecture,
divide(divide(C,D),divide(inverse(divide(divide(divide(x4,x5),divide(C,D)),divide(inverse(a2),divide(inverse(b2),inverse(b2))))),divide(x5,x4))) != a2,
inference(cp,[status(thm)],[eq_37,eq_13]) ).
cnf(eq_45,negated_conjecture,
divide(divide(A,B),divide(inverse(divide(divide(divide(C,D),divide(A,B)),divide(inverse(a2),divide(inverse(b2),inverse(b2))))),divide(D,C))) != a2,
eq_44 ).
cnf(eq_46,plain,
divide(x100,divide(inverse(divide(divide(divide(x101,x102),x100),divide(inverse(divide(divide(C,D),divide(C,D))),divide(B,A)))),divide(x102,x101))) = divide(B,A),
inference(cp,[status(thm)],[eq_43,eq_42]) ).
cnf(eq_47,plain,
divide(inverse(divide(divide(inverse(divide(multiply(multiply(B,C),D),multiply(A,D))),divide(inverse(C),B)),A)),divide(x102,x103)) = divide(x103,x102),
inference(cp,[status(thm)],[eq_22,eq_43]) ).
cnf(eq_48,plain,
divide(inverse(divide(divide(divide(inverse(multiply(divide(divide(A,B),C),D)),divide(B,A)),C),inverse(D))),divide(x102,x103)) = divide(x103,x102),
inference(cp,[status(thm)],[eq_33,eq_43]) ).
cnf(eq_49,plain,
divide(A,B) = multiply(divide(A,B),divide(divide(C,D),divide(C,D))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_42]),eq_1]) ).
cnf(eq_50,plain,
divide(A,B) = divide(inverse(divide(C,C)),divide(B,A)),
inference(rw,[status(thm)],[eq_47,eq_22]) ).
cnf(eq_51,plain,
divide(A,B) = divide(inverse(multiply(inverse(C),C)),divide(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_48,eq_33]),eq_1]) ).
cnf(eq_52,plain,
inverse(divide(divide(A,B),divide(divide(x102,divide(x103,divide(inverse(divide(divide(divide(x104,x105),x103),inverse(multiply(inverse(C),C)))),divide(x105,x104)))),divide(B,A)))) = x102,
inference(cp,[status(thm)],[eq_51,eq_26]) ).
cnf(eq_53,plain,
multiply(A,divide(divide(x102,x103),divide(x102,x103))) = divide(divide(inverse(divide(divide(divide(B,C),D),A)),divide(C,B)),D),
inference(cp,[status(thm)],[eq_21,eq_49]) ).
cnf(eq_54,plain,
multiply(divide(x100,x101),divide(divide(divide(inverse(multiply(divide(divide(A,B),C),D)),divide(B,A)),C),inverse(D))) = divide(x100,x101),
inference(cp,[status(thm)],[eq_33,eq_49]) ).
cnf(eq_55,plain,
A = multiply(A,divide(divide(B,C),divide(B,C))),
inference(rw,[status(thm)],[eq_53,eq_21]) ).
cnf(eq_56,plain,
divide(A,B) = multiply(divide(A,B),multiply(inverse(C),C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_54,eq_33]),eq_1]) ).
cnf(eq_57,negated_conjecture,
divide(divide(x100,x101),divide(inverse(divide(divide(divide(x102,x103),divide(x100,x101)),divide(inverse(divide(C,C)),divide(divide(inverse(b2),inverse(b2)),inverse(a2))))),divide(x103,x102))) != a2,
inference(cp,[status(thm)],[eq_50,eq_45]) ).
cnf(eq_58,negated_conjecture,
multiply(multiply(multiply(inverse(b2),b2),a2),divide(A,A)) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_1]),eq_1]),eq_42]),eq_1]) ).
cnf(eq_59,plain,
A = divide(A,inverse(divide(divide(B,C),divide(B,C)))),
inference(rw,[status(thm)],[eq_55,eq_1]) ).
cnf(eq_60,negated_conjecture,
divide(divide(divide(inverse(b2),inverse(b2)),inverse(a2)),inverse(divide(A,A))) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_1]),eq_1]),eq_1]) ).
cnf(eq_61,negated_conjecture,
divide(divide(divide(inverse(divide(C,C)),divide(inverse(b2),inverse(b2))),inverse(a2)),inverse(divide(x100,x100))) != a2,
inference(cp,[status(thm)],[eq_50,eq_60]) ).
cnf(eq_62,negated_conjecture,
divide(divide(divide(inverse(divide(A,A)),divide(inverse(b2),inverse(b2))),inverse(a2)),inverse(divide(B,B))) != a2,
eq_61 ).
cnf(eq_63,plain,
divide(inverse(divide(divide(x100,x101),A)),divide(x101,x100)) = A,
inference(cp,[status(thm)],[eq_59,eq_38]) ).
cnf(eq_64,plain,
inverse(divide(divide(x100,x101),divide(x102,divide(x101,x100)))) = x102,
inference(cp,[status(thm)],[eq_59,eq_39]) ).
cnf(eq_65,plain,
A = divide(inverse(divide(divide(B,C),A)),divide(C,B)),
eq_63 ).
cnf(eq_66,plain,
A = inverse(divide(divide(B,C),divide(A,divide(C,B)))),
eq_64 ).
cnf(eq_67,plain,
A = divide(A,divide(B,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_1]),eq_56]),eq_65]),eq_66]) ).
cnf(eq_68,plain,
inverse(divide(x100,x101)) = divide(x101,x100),
inference(cp,[status(thm)],[eq_67,eq_66]) ).
cnf(eq_69,plain,
divide(A,B) = inverse(divide(B,A)),
eq_68 ).
cnf(eq_70,negated_conjecture,
divide(divide(A,A),inverse(a2)) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_62,eq_69]),eq_69]),eq_67]),eq_67]) ).
cnf(eq_71,plain,
inverse(A) = divide(divide(B,B),A),
inference(cp,[status(thm)],[eq_67,eq_69]) ).
cnf(eq_72,plain,
divide(divide(A,A),B) = inverse(B),
eq_71 ).
cnf(eq_73,negated_conjecture,
inverse(inverse(a2)) != a2,
inference(cp,[status(thm)],[eq_72,eq_70]) ).
cnf(eq_74,negated_conjecture,
inverse(divide(divide(A,A),a2)) != a2,
inference(cp,[status(thm)],[eq_72,eq_73]) ).
cnf(eq_75,negated_conjecture,
a2 != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_74,eq_69]),eq_67]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP476-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n012.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 26 04:14:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.32/3.51 % SZS status Unsatisfiable
% 3.32/3.51 % SZS output start CNFRefutation for /tmp/MaedMax_21594
% See solution above
% 3.32/3.51
%------------------------------------------------------------------------------