TSTP Solution File: GRP470-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP470-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n007.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 11.60s 11.82s
% Output : CNFRefutation 11.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 3
% Syntax : Number of clauses : 83 ( 83 unt; 0 nHn; 6 RR)
% Number of literals : 83 ( 82 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 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 : 233 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(inverse(divide(B,divide(A,divide(C,D)))),divide(divide(D,C),B)),
file('/tmp/MaedMax_29517') ).
cnf(eq_1,axiom,
divide(A,inverse(B)) = multiply(A,B),
file('/tmp/MaedMax_29517') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/tmp/MaedMax_29517') ).
cnf(eq_3,plain,
divide(inverse(A),divide(divide(x103,x102),inverse(divide(divide(x102,x103),divide(A,divide(C,D)))))) = divide(D,C),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
divide(inverse(divide(x100,A)),divide(divide(B,divide(D,C)),x100)) = inverse(divide(B,divide(A,divide(C,D)))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
divide(inverse(divide(x100,divide(x101,A))),divide(divide(divide(divide(D,C),B),inverse(divide(B,divide(A,divide(C,D))))),x100)) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
divide(inverse(divide(x100,divide(x101,divide(divide(divide(D,C),B),inverse(divide(B,divide(A,divide(C,D)))))))),divide(A,x100)) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_7,plain,
divide(inverse(divide(A,B)),divide(divide(C,divide(D,x4)),A)) = inverse(divide(C,divide(B,divide(x4,D)))),
eq_4 ).
cnf(eq_8,plain,
divide(A,B) = divide(inverse(C),multiply(divide(D,x4),divide(divide(x4,D),divide(C,divide(B,A))))),
inference(rw,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_9,plain,
A = divide(inverse(divide(B,divide(A,multiply(divide(divide(C,D),x4),divide(x4,divide(x5,divide(D,C))))))),divide(x5,B)),
inference(rw,[status(thm)],[eq_6,eq_1]) ).
cnf(eq_10,plain,
divide(A,B) = divide(inverse(C),divide(divide(D,x4),inverse(divide(divide(x4,D),divide(C,divide(B,A)))))),
inference(rw,[status(thm)],[eq_8,eq_1]) ).
cnf(eq_11,plain,
A = divide(inverse(divide(B,divide(A,divide(divide(divide(C,D),x4),inverse(divide(x4,divide(x5,divide(D,C)))))))),divide(x5,B)),
inference(rw,[status(thm)],[eq_9,eq_1]) ).
cnf(eq_12,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_13,plain,
inverse(divide(C,divide(divide(x101,divide(divide(D,x4),C)),divide(x4,D)))) = x101,
inference(cp,[status(thm)],[eq_7,eq_0]) ).
cnf(eq_14,plain,
A = inverse(divide(B,divide(divide(A,divide(divide(C,D),B)),divide(D,C)))),
eq_13 ).
cnf(eq_15,plain,
A = divide(inverse(divide(B,divide(A,C))),divide(divide(divide(divide(D,x4),x5),inverse(divide(x5,divide(C,divide(x4,D))))),B)),
eq_5 ).
cnf(eq_16,plain,
divide(inverse(x100),divide(divide(x101,x102),inverse(divide(divide(x102,x101),divide(x100,divide(A,B)))))) = divide(divide(divide(D,x4),inverse(divide(divide(x4,D),divide(C,divide(B,A))))),inverse(C)),
inference(cp,[status(thm)],[eq_10,eq_10]) ).
cnf(eq_17,plain,
divide(divide(inverse(divide(A,B)),divide(divide(C,divide(inverse(divide(x104,divide(x105,divide(x103,x102)))),divide(divide(x102,x103),x104))),A)),divide(x105,C)) = B,
inference(cp,[status(thm)],[eq_7,eq_11]) ).
cnf(eq_18,plain,
inverse(inverse(divide(C,divide(B,divide(inverse(divide(divide(x103,x102),B)),divide(x102,x103)))))) = C,
inference(cp,[status(thm)],[eq_7,eq_14]) ).
cnf(eq_19,plain,
A = divide(divide(inverse(divide(B,A)),divide(divide(C,D),B)),divide(D,C)),
inference(rw,[status(thm)],[eq_17,eq_0]) ).
cnf(eq_20,plain,
divide(A,B) = divide(divide(divide(C,D),inverse(divide(divide(D,C),divide(x4,divide(A,B))))),inverse(x4)),
inference(rw,[status(thm)],[eq_16,eq_10]) ).
cnf(eq_21,plain,
A = inverse(inverse(divide(A,divide(B,divide(inverse(divide(divide(C,D),B)),divide(D,C)))))),
eq_18 ).
cnf(eq_22,plain,
divide(inverse(divide(divide(D,C),divide(x101,divide(divide(divide(C,D),B),inverse(divide(B,A)))))),A) = x101,
inference(cp,[status(thm)],[eq_19,eq_0]) ).
cnf(eq_23,plain,
divide(divide(divide(x100,x101),A),inverse(divide(A,divide(divide(C,D),divide(x101,x100))))) = divide(D,C),
inference(cp,[status(thm)],[eq_14,eq_20]) ).
cnf(eq_24,plain,
divide(divide(divide(x100,x101),inverse(divide(divide(x101,x100),divide(x102,A)))),inverse(x102)) = divide(divide(inverse(divide(B,A)),divide(divide(C,D),B)),divide(D,C)),
inference(cp,[status(thm)],[eq_19,eq_20]) ).
cnf(eq_25,plain,
divide(inverse(D),divide(divide(divide(divide(divide(x103,x104),D),B),inverse(divide(B,A))),inverse(A))) = divide(x104,x103),
inference(cp,[status(thm)],[eq_19,eq_10]) ).
cnf(eq_26,plain,
divide(A,B) = divide(divide(divide(C,D),x4),inverse(divide(x4,divide(divide(B,A),divide(D,C))))),
eq_23 ).
cnf(eq_27,plain,
A = divide(divide(divide(B,C),inverse(divide(divide(C,B),divide(D,A)))),inverse(D)),
inference(rw,[status(thm)],[eq_24,eq_19]) ).
cnf(eq_28,plain,
divide(A,B) = divide(inverse(C),divide(divide(divide(divide(divide(B,A),C),D),inverse(divide(D,x4))),inverse(x4))),
eq_25 ).
cnf(eq_29,plain,
A = divide(inverse(divide(divide(B,C),divide(A,divide(divide(divide(C,B),D),inverse(divide(D,x4)))))),x4),
eq_22 ).
cnf(eq_30,plain,
divide(divide(divide(divide(divide(C,D),B),inverse(divide(B,A))),inverse(A)),inverse(D)) = C,
inference(cp,[status(thm)],[eq_19,eq_27]) ).
cnf(eq_31,plain,
A = divide(divide(divide(divide(divide(A,B),C),inverse(divide(C,D))),inverse(D)),inverse(B)),
eq_30 ).
cnf(eq_32,plain,
divide(divide(A,inverse(x103)),inverse(inverse(divide(C,D)))) = divide(divide(A,divide(inverse(D),x103)),C),
inference(cp,[status(thm)],[eq_31,eq_31]) ).
cnf(eq_33,plain,
divide(divide(A,divide(inverse(B),C)),D) = divide(divide(A,inverse(C)),inverse(inverse(divide(D,B)))),
eq_32 ).
cnf(eq_34,plain,
divide(divide(divide(x100,x101),x102),inverse(divide(x102,divide(divide(divide(A,divide(inverse(B),C)),D),divide(x101,x100))))) = divide(inverse(inverse(divide(D,B))),divide(A,inverse(C))),
inference(cp,[status(thm)],[eq_33,eq_26]) ).
cnf(eq_35,plain,
divide(divide(A,B),divide(inverse(divide(D,x4)),divide(divide(divide(B,A),divide(inverse(x4),x101)),D))) = x101,
inference(cp,[status(thm)],[eq_28,eq_19]) ).
cnf(eq_36,plain,
divide(A,divide(B,divide(inverse(C),D))) = divide(inverse(inverse(divide(A,C))),divide(B,inverse(D))),
inference(rw,[status(thm)],[eq_34,eq_26]) ).
cnf(eq_37,plain,
A = divide(divide(B,C),divide(inverse(divide(D,x4)),divide(divide(divide(C,B),divide(inverse(x4),A)),D))),
eq_35 ).
cnf(eq_38,plain,
divide(inverse(A),x104) = inverse(divide(inverse(divide(divide(inverse(x4),A),x104)),x4)),
inference(cp,[status(thm)],[eq_37,eq_29]) ).
cnf(eq_39,plain,
inverse(inverse(divide(inverse(inverse(divide(A,divide(divide(x102,x103),B)))),divide(B,inverse(divide(x103,x102)))))) = A,
inference(cp,[status(thm)],[eq_36,eq_21]) ).
cnf(eq_40,plain,
divide(inverse(A),B) = inverse(divide(inverse(divide(divide(inverse(C),A),B)),C)),
eq_38 ).
cnf(eq_41,plain,
A = inverse(inverse(divide(inverse(inverse(divide(A,divide(divide(B,C),D)))),divide(D,inverse(divide(C,B)))))),
eq_39 ).
cnf(eq_42,plain,
inverse(divide(inverse(A),divide(B,A))) = divide(inverse(divide(divide(C,D),B)),divide(D,C)),
inference(cp,[status(thm)],[eq_19,eq_40]) ).
cnf(eq_43,plain,
divide(inverse(divide(divide(A,B),C)),divide(B,A)) = inverse(divide(inverse(D),divide(C,D))),
eq_42 ).
cnf(eq_44,plain,
inverse(inverse(divide(inverse(inverse(A)),divide(B,inverse(divide(inverse(divide(x5,divide(C,divide(x4,D)))),divide(divide(D,x4),x5))))))) = inverse(divide(B,divide(A,C))),
inference(cp,[status(thm)],[eq_15,eq_41]) ).
cnf(eq_45,plain,
inverse(divide(A,divide(B,C))) = inverse(inverse(divide(inverse(inverse(B)),divide(A,inverse(C))))),
inference(rw,[status(thm)],[eq_44,eq_0]) ).
cnf(eq_46,plain,
inverse(inverse(divide(x100,divide(C,inverse(divide(inverse(D),divide(C,D))))))) = x100,
inference(cp,[status(thm)],[eq_43,eq_21]) ).
cnf(eq_47,plain,
inverse(divide(inverse(D),divide(C,D))) = inverse(divide(inverse(x103),divide(C,x103))),
inference(cp,[status(thm)],[eq_43,eq_43]) ).
cnf(eq_48,plain,
inverse(divide(inverse(divide(divide(A,B),C)),divide(B,A))) = inverse(divide(C,divide(x100,x100))),
inference(cp,[status(thm)],[eq_43,eq_45]) ).
cnf(eq_49,plain,
A = inverse(inverse(divide(A,divide(B,inverse(divide(inverse(C),divide(B,C))))))),
eq_46 ).
cnf(eq_50,plain,
inverse(divide(A,divide(B,B))) = inverse(divide(inverse(divide(divide(C,D),A)),divide(D,C))),
eq_48 ).
cnf(eq_51,plain,
inverse(divide(inverse(A),divide(B,A))) = inverse(divide(inverse(C),divide(B,C))),
eq_47 ).
cnf(eq_52,plain,
inverse(divide(A,divide(B,divide(inverse(x102),divide(A,x102))))) = inverse(inverse(B)),
inference(cp,[status(thm)],[eq_45,eq_49]) ).
cnf(eq_53,plain,
inverse(inverse(divide(x100,divide(inverse(divide(D,C)),divide(C,D))))) = x100,
inference(cp,[status(thm)],[eq_26,eq_49]) ).
cnf(eq_54,plain,
inverse(divide(A,divide(B,divide(inverse(C),divide(A,C))))) = inverse(divide(inverse(x102),divide(B,x102))),
inference(cp,[status(thm)],[eq_36,eq_51]) ).
cnf(eq_55,plain,
inverse(inverse(divide(inverse(D),divide(C,D)))) = inverse(divide(C,divide(x103,x103))),
inference(cp,[status(thm)],[eq_43,eq_50]) ).
cnf(eq_56,plain,
inverse(divide(A,divide(B,B))) = inverse(inverse(divide(inverse(C),divide(A,C)))),
eq_55 ).
cnf(eq_57,plain,
A = inverse(inverse(divide(A,divide(inverse(divide(B,C)),divide(C,B))))),
eq_53 ).
cnf(eq_58,plain,
inverse(divide(A,divide(B,divide(inverse(C),divide(A,C))))) = inverse(inverse(B)),
eq_52 ).
cnf(eq_59,plain,
divide(inverse(inverse(B)),divide(divide(divide(A,C),inverse(C)),A)) = B,
inference(cp,[status(thm)],[eq_58,eq_0]) ).
cnf(eq_60,plain,
inverse(inverse(inverse(inverse(divide(divide(A,C),inverse(C)))))) = A,
inference(cp,[status(thm)],[eq_58,eq_57]) ).
cnf(eq_61,plain,
inverse(divide(C,B)) = inverse(divide(inverse(divide(B,C)),divide(x102,x102))),
inference(cp,[status(thm)],[eq_57,eq_56]) ).
cnf(eq_62,plain,
inverse(inverse(divide(A,divide(B,divide(inverse(C),divide(A,C)))))) = inverse(divide(B,divide(x102,x102))),
inference(cp,[status(thm)],[eq_36,eq_56]) ).
cnf(eq_63,plain,
A = inverse(inverse(inverse(inverse(divide(divide(A,B),inverse(B)))))),
eq_60 ).
cnf(eq_64,plain,
inverse(divide(A,B)) = inverse(divide(inverse(divide(B,A)),divide(C,C))),
eq_61 ).
cnf(eq_65,plain,
A = divide(inverse(inverse(A)),divide(divide(divide(B,C),inverse(C)),B)),
eq_59 ).
cnf(eq_66,plain,
inverse(divide(A,divide(B,B))) = inverse(inverse(inverse(A))),
inference(rw,[status(thm)],[eq_62,eq_58]) ).
cnf(eq_67,plain,
inverse(divide(inverse(A),divide(B,A))) = inverse(inverse(B)),
inference(rw,[status(thm)],[eq_54,eq_58]) ).
cnf(eq_68,plain,
divide(inverse(inverse(inverse(B))),divide(divide(divide(x101,x102),inverse(x102)),x101)) = divide(inverse(A),divide(B,A)),
inference(cp,[status(thm)],[eq_67,eq_65]) ).
cnf(eq_69,plain,
divide(inverse(inverse(inverse(inverse(A)))),divide(divide(divide(x101,x102),inverse(x102)),x101)) = divide(A,divide(B,B)),
inference(cp,[status(thm)],[eq_66,eq_65]) ).
cnf(eq_70,plain,
inverse(divide(inverse(divide(divide(x100,x101),inverse(x101))),divide(B,B))) = x100,
inference(cp,[status(thm)],[eq_66,eq_63]) ).
cnf(eq_71,plain,
inverse(inverse(A)) = inverse(inverse(inverse(inverse(A)))),
inference(cp,[status(thm)],[eq_67,eq_66]) ).
cnf(eq_72,plain,
inverse(divide(A,B)) = inverse(inverse(divide(B,A))),
inference(cp,[status(thm)],[eq_64,eq_67]) ).
cnf(eq_73,plain,
A = inverse(divide(inverse(B),divide(A,B))),
inference(rw,[status(thm)],[eq_70,eq_64]) ).
cnf(eq_74,plain,
divide(A,divide(B,B)) = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_69,eq_65]) ).
cnf(eq_75,plain,
divide(inverse(A),divide(B,A)) = inverse(B),
inference(rw,[status(thm)],[eq_68,eq_65]) ).
cnf(eq_76,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_73,eq_75]) ).
cnf(eq_77,plain,
divide(inverse(inverse(divide(A,B))),divide(divide(divide(x101,x102),inverse(x102)),x101)) = inverse(divide(B,A)),
inference(cp,[status(thm)],[eq_72,eq_65]) ).
cnf(eq_78,plain,
divide(A,B) = inverse(divide(B,A)),
inference(rw,[status(thm)],[eq_77,eq_65]) ).
cnf(eq_79,negated_conjecture,
inverse(divide(inverse(a2),divide(inverse(b2),inverse(b2)))) != a2,
inference(cp,[status(thm)],[eq_78,eq_12]) ).
cnf(eq_80,negated_conjecture,
inverse(inverse(a2)) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_79,eq_74]),eq_71]) ).
cnf(eq_81,negated_conjecture,
a2 != a2,
inference(rw,[status(thm)],[eq_80,eq_76]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP470-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n007.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 03:53:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 11.60/11.82 % SZS status Unsatisfiable
% 11.60/11.82 % SZS output start CNFRefutation for /tmp/MaedMax_29517
% See solution above
% 11.60/11.82
%------------------------------------------------------------------------------