TSTP Solution File: GRP459-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP459-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n016.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 07:02:46 EDT 2022
% Result : Unsatisfiable 0.60s 0.82s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of clauses : 76 ( 76 unt; 0 nHn; 13 RR)
% Number of literals : 76 ( 75 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 120 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(divide(divide(B,B),divide(B,divide(A,divide(divide(identity,B),C)))),C),
file('/tmp/MaedMax_17913') ).
cnf(eq_1,axiom,
divide(A,divide(identity,B)) = multiply(A,B),
file('/tmp/MaedMax_17913') ).
cnf(eq_2,axiom,
divide(identity,A) = inverse(A),
file('/tmp/MaedMax_17913') ).
cnf(eq_3,axiom,
divide(A,A) = identity,
file('/tmp/MaedMax_17913') ).
cnf(eq_4,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_17913') ).
cnf(eq_5,plain,
A = divide(inverse(divide(B,divide(A,divide(inverse(B),C)))),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_3]),eq_2]),eq_2]) ).
cnf(eq_6,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(rw,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_7,plain,
inverse(identity) = identity,
inference(cp,[status(thm)],[eq_2,eq_3]) ).
cnf(eq_8,plain,
A = divide(divide(identity,divide(B,divide(A,divide(divide(identity,B),C)))),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_2]),eq_2]) ).
cnf(eq_9,negated_conjecture,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_10,plain,
multiply(divide(identity,divide(x100,divide(x101,divide(divide(identity,x100),divide(identity,B))))),B) = x101,
inference(cp,[status(thm)],[eq_1,eq_8]) ).
cnf(eq_11,plain,
divide(multiply(identity,divide(x101,divide(divide(identity,identity),x102))),x102) = x101,
inference(cp,[status(thm)],[eq_1,eq_8]) ).
cnf(eq_12,plain,
divide(divide(identity,multiply(A,divide(divide(identity,A),x102))),x102) = identity,
inference(cp,[status(thm)],[eq_1,eq_8]) ).
cnf(eq_13,plain,
divide(divide(identity,divide(x100,identity)),x102) = divide(divide(identity,x100),x102),
inference(cp,[status(thm)],[eq_3,eq_8]) ).
cnf(eq_14,plain,
divide(divide(identity,divide(divide(B,divide(A,divide(divide(identity,B),C))),divide(x101,A))),C) = x101,
inference(cp,[status(thm)],[eq_8,eq_8]) ).
cnf(eq_15,plain,
divide(divide(identity,divide(x100,divide(x101,identity))),divide(identity,x100)) = x101,
inference(cp,[status(thm)],[eq_3,eq_8]) ).
cnf(eq_16,plain,
A = divide(divide(identity,divide(divide(B,divide(C,divide(divide(identity,B),x3))),divide(A,C))),x3),
eq_14 ).
cnf(eq_17,plain,
A = divide(multiply(identity,multiply(A,B)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_3]),eq_1]) ).
cnf(eq_18,plain,
A = multiply(divide(identity,divide(B,divide(A,multiply(divide(identity,B),C)))),C),
inference(rw,[status(thm)],[eq_10,eq_1]) ).
cnf(eq_19,plain,
divide(divide(identity,A),B) = divide(divide(identity,divide(A,identity)),B),
eq_13 ).
cnf(eq_20,plain,
divide(divide(identity,multiply(A,divide(divide(identity,A),B))),B) = identity,
eq_12 ).
cnf(eq_21,plain,
A = multiply(divide(identity,divide(B,divide(A,identity))),B),
inference(rw,[status(thm)],[eq_15,eq_1]) ).
cnf(eq_22,plain,
divide(inverse(divide(A,inverse(divide(inverse(A),B)))),B) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_2]),eq_6]),eq_2]) ).
cnf(eq_23,plain,
A = divide(inverse(divide(divide(B,divide(C,divide(inverse(B),x3))),divide(A,C))),x3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_2]),eq_2]) ).
cnf(eq_24,plain,
divide(inverse(A),B) = divide(inverse(divide(A,identity)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_2]),eq_2]) ).
cnf(eq_25,plain,
A = divide(inverse(divide(B,divide(A,identity))),inverse(B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_2]),eq_6]) ).
cnf(eq_26,plain,
A = divide(inverse(inverse(divide(A,inverse(B)))),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_6]),eq_6]),eq_2]) ).
cnf(eq_27,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_9,eq_2]),eq_2]),eq_2]),eq_2]) ).
cnf(eq_28,plain,
divide(inverse(inverse(divide(x101,identity))),inverse(identity)) = x101,
inference(cp,[status(thm)],[eq_2,eq_25]) ).
cnf(eq_29,plain,
divide(inverse(identity),inverse(divide(x101,identity))) = x101,
inference(cp,[status(thm)],[eq_3,eq_25]) ).
cnf(eq_30,plain,
divide(inverse(divide(x100,divide(inverse(A),identity))),inverse(x100)) = inverse(divide(A,identity)),
inference(cp,[status(thm)],[eq_24,eq_25]) ).
cnf(eq_31,plain,
divide(inverse(divide(divide(x100,divide(B,divide(inverse(x100),x102))),identity)),x102) = inverse(divide(A,inverse(divide(inverse(A),B)))),
inference(cp,[status(thm)],[eq_22,eq_23]) ).
cnf(eq_32,plain,
divide(inverse(inverse(A)),B) = inverse(divide(B,divide(A,identity))),
inference(cp,[status(thm)],[eq_25,eq_26]) ).
cnf(eq_33,plain,
divide(inverse(inverse(identity)),x101) = inverse(divide(A,inverse(divide(inverse(A),inverse(x101))))),
inference(cp,[status(thm)],[eq_22,eq_26]) ).
cnf(eq_34,plain,
inverse(A) = inverse(divide(A,identity)),
inference(rw,[status(thm)],[eq_30,eq_25]) ).
cnf(eq_35,plain,
A = inverse(divide(B,inverse(divide(inverse(B),A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_24]),eq_5]) ).
cnf(eq_36,plain,
A = divide(inverse(inverse(divide(A,identity))),identity),
inference(rw,[status(thm)],[eq_28,eq_7]) ).
cnf(eq_37,plain,
inverse(A) = inverse(divide(B,inverse(divide(inverse(B),inverse(A))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_7]),eq_7]),eq_2]) ).
cnf(eq_38,plain,
A = inverse(inverse(divide(A,identity))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_7]),eq_2]) ).
cnf(eq_39,plain,
A = inverse(multiply(B,divide(inverse(B),A))),
inference(rw,[status(thm)],[eq_35,eq_6]) ).
cnf(eq_40,plain,
inverse(A) = inverse(multiply(B,multiply(inverse(B),A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_37,eq_6]),eq_6]) ).
cnf(eq_41,plain,
divide(A,identity) = A,
inference(cp,[status(thm)],[eq_38,eq_36]) ).
cnf(eq_42,plain,
A = inverse(divide(inverse(divide(A,identity)),identity)),
inference(cp,[status(thm)],[eq_38,eq_34]) ).
cnf(eq_43,plain,
inverse(inverse(A)) = A,
inference(cp,[status(thm)],[eq_34,eq_38]) ).
cnf(eq_44,plain,
A = inverse(divide(inverse(A),identity)),
inference(rw,[status(thm)],[eq_42,eq_24]) ).
cnf(eq_45,plain,
A = multiply(identity,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_44,eq_2]),eq_41]),eq_2]),eq_1]) ).
cnf(eq_46,plain,
A = multiply(inverse(divide(B,A)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_41]),eq_6]) ).
cnf(eq_47,plain,
A = divide(multiply(A,B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_6]),eq_43]) ).
cnf(eq_48,plain,
divide(A,B) = inverse(divide(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_43]),eq_41]) ).
cnf(eq_49,plain,
A = inverse(divide(B,divide(A,divide(inverse(B),identity)))),
inference(cp,[status(thm)],[eq_5,eq_41]) ).
cnf(eq_50,plain,
divide(x100,A) = multiply(x100,inverse(A)),
inference(cp,[status(thm)],[eq_43,eq_6]) ).
cnf(eq_51,plain,
inverse(multiply(inverse(A),divide(A,x101))) = x101,
inference(cp,[status(thm)],[eq_43,eq_39]) ).
cnf(eq_52,plain,
A = inverse(divide(B,multiply(A,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_49,eq_41]),eq_6]) ).
cnf(eq_53,plain,
A = inverse(multiply(inverse(B),divide(B,A))),
eq_51 ).
cnf(eq_54,plain,
divide(A,B) = multiply(A,inverse(B)),
eq_50 ).
cnf(eq_55,plain,
inverse(A) = divide(B,multiply(A,B)),
inference(cp,[status(thm)],[eq_52,eq_43]) ).
cnf(eq_56,plain,
inverse(A) = multiply(inverse(B),divide(B,A)),
inference(cp,[status(thm)],[eq_53,eq_43]) ).
cnf(eq_57,plain,
inverse(inverse(A)) = multiply(B,multiply(inverse(B),A)),
inference(cp,[status(thm)],[eq_40,eq_43]) ).
cnf(eq_58,plain,
A = multiply(multiply(A,B),inverse(B)),
inference(cp,[status(thm)],[eq_47,eq_54]) ).
cnf(eq_59,plain,
multiply(A,inverse(B)) = inverse(divide(B,A)),
inference(cp,[status(thm)],[eq_54,eq_48]) ).
cnf(eq_60,plain,
multiply(inverse(multiply(A,B)),A) = inverse(B),
inference(cp,[status(thm)],[eq_6,eq_46]) ).
cnf(eq_61,plain,
multiply(inverse(A),divide(A,B)) = inverse(B),
eq_56 ).
cnf(eq_62,plain,
A = multiply(B,multiply(inverse(B),A)),
inference(rw,[status(thm)],[eq_57,eq_43]) ).
cnf(eq_63,plain,
divide(A,multiply(B,A)) = inverse(B),
eq_55 ).
cnf(eq_64,negated_conjecture,
divide(a3,divide(inverse(c3),b3)) != divide(divide(a3,inverse(b3)),inverse(c3)),
inference(cp,[status(thm)],[eq_48,eq_27]) ).
cnf(eq_65,negated_conjecture,
divide(a3,divide(inverse(c3),b3)) != multiply(multiply(a3,b3),c3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_64,eq_6]),eq_6]) ).
cnf(eq_66,plain,
multiply(inverse(A),inverse(B)) = inverse(multiply(B,A)),
inference(cp,[status(thm)],[eq_63,eq_61]) ).
cnf(eq_67,plain,
multiply(inverse(A),B) = inverse(multiply(inverse(B),A)),
inference(cp,[status(thm)],[eq_62,eq_60]) ).
cnf(eq_68,plain,
multiply(A,inverse(B)) = inverse(multiply(B,inverse(A))),
inference(rw,[status(thm)],[eq_59,eq_54]) ).
cnf(eq_69,plain,
A = multiply(multiply(multiply(A,multiply(inverse(B),C)),inverse(C)),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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_54]),eq_45]),eq_54]),eq_67]),eq_54]),eq_54]),eq_68]),eq_45]) ).
cnf(eq_70,plain,
multiply(multiply(x100,multiply(B,inverse(A))),multiply(A,inverse(B))) = x100,
inference(cp,[status(thm)],[eq_68,eq_58]) ).
cnf(eq_71,plain,
A = multiply(multiply(A,multiply(B,inverse(C))),multiply(C,inverse(B))),
eq_70 ).
cnf(eq_72,plain,
multiply(multiply(A,inverse(inverse(B))),x101) = multiply(A,multiply(B,inverse(inverse(x101)))),
inference(cp,[status(thm)],[eq_71,eq_69]) ).
cnf(eq_73,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_72,eq_43]),eq_43]) ).
cnf(eq_74,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_65,eq_54]),eq_66]),eq_54]),eq_43]),eq_73]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP459-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n016.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 04:30:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.60/0.82 % SZS status Unsatisfiable
% 0.60/0.82 % SZS output start CNFRefutation for /tmp/MaedMax_17913
% See solution above
% 0.60/0.82
%------------------------------------------------------------------------------