TSTP Solution File: GRP456-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP456-1 : 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 07:02:46 EDT 2022
% Result : Unsatisfiable 0.47s 0.67s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of clauses : 59 ( 59 unt; 0 nHn; 16 RR)
% Number of literals : 59 ( 58 equ; 8 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 : 89 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(divide(identity,divide(B,divide(A,divide(divide(divide(B,B),B),C)))),C),
file('/tmp/MaedMax_20672') ).
cnf(eq_1,axiom,
divide(A,divide(identity,B)) = multiply(A,B),
file('/tmp/MaedMax_20672') ).
cnf(eq_2,axiom,
divide(identity,A) = inverse(A),
file('/tmp/MaedMax_20672') ).
cnf(eq_3,axiom,
identity = divide(A,A),
file('/tmp/MaedMax_20672') ).
cnf(eq_4,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_20672') ).
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,
divide(x100,identity) = multiply(x100,identity),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_11,plain,
divide(divide(identity,multiply(A,divide(divide(identity,A),x102))),x102) = identity,
inference(cp,[status(thm)],[eq_1,eq_8]) ).
cnf(eq_12,plain,
divide(divide(identity,divide(x100,identity)),x102) = divide(divide(identity,x100),x102),
inference(cp,[status(thm)],[eq_3,eq_8]) ).
cnf(eq_13,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_14,plain,
divide(divide(identity,divide(x100,divide(x101,identity))),divide(identity,x100)) = x101,
inference(cp,[status(thm)],[eq_3,eq_8]) ).
cnf(eq_15,plain,
divide(divide(identity,divide(divide(identity,B),divide(x101,divide(multiply(identity,B),x102)))),x102) = x101,
inference(cp,[status(thm)],[eq_1,eq_8]) ).
cnf(eq_16,plain,
divide(divide(identity,divide(identity,divide(x101,divide(identity,x102)))),x102) = x101,
inference(cp,[status(thm)],[eq_3,eq_8]) ).
cnf(eq_17,plain,
A = divide(multiply(identity,multiply(A,B)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_1]),eq_1]) ).
cnf(eq_18,plain,
A = multiply(divide(identity,divide(B,divide(A,identity))),B),
inference(rw,[status(thm)],[eq_14,eq_1]) ).
cnf(eq_19,plain,
A = divide(divide(identity,divide(divide(identity,B),divide(A,divide(multiply(identity,B),C)))),C),
eq_15 ).
cnf(eq_20,plain,
identity = divide(divide(identity,multiply(A,divide(divide(identity,A),B))),B),
eq_11 ).
cnf(eq_21,plain,
A = divide(divide(identity,divide(divide(B,divide(C,divide(divide(identity,B),x3))),divide(A,C))),x3),
eq_13 ).
cnf(eq_22,plain,
divide(A,identity) = multiply(A,identity),
eq_10 ).
cnf(eq_23,plain,
divide(divide(identity,A),B) = divide(divide(identity,divide(A,identity)),B),
eq_12 ).
cnf(eq_24,plain,
divide(inverse(A),B) = divide(inverse(divide(A,identity)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_23,eq_2]),eq_2]) ).
cnf(eq_25,plain,
identity = divide(inverse(divide(A,inverse(divide(inverse(A),B)))),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_2]),eq_6]),eq_2]) ).
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,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_21,eq_2]),eq_2]) ).
cnf(eq_28,plain,
A = divide(inverse(divide(B,divide(A,identity))),inverse(B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_2]),eq_6]) ).
cnf(eq_29,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_30,plain,
divide(inverse(identity),inverse(divide(x101,identity))) = x101,
inference(cp,[status(thm)],[eq_3,eq_28]) ).
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_25,eq_27]) ).
cnf(eq_32,plain,
divide(inverse(divide(divide(x100,divide(B,divide(inverse(x100),x102))),divide(inverse(A),B))),x102) = inverse(divide(A,identity)),
inference(cp,[status(thm)],[eq_24,eq_27]) ).
cnf(eq_33,plain,
divide(inverse(inverse(A)),B) = inverse(divide(B,divide(A,identity))),
inference(cp,[status(thm)],[eq_28,eq_26]) ).
cnf(eq_34,plain,
divide(inverse(inverse(divide(x100,identity))),identity) = x100,
inference(cp,[status(thm)],[eq_7,eq_26]) ).
cnf(eq_35,plain,
A = divide(inverse(inverse(divide(A,identity))),identity),
eq_34 ).
cnf(eq_36,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_37,plain,
inverse(A) = inverse(divide(A,identity)),
inference(rw,[status(thm)],[eq_32,eq_27]) ).
cnf(eq_38,plain,
A = inverse(inverse(divide(A,identity))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_7]),eq_2]) ).
cnf(eq_39,plain,
divide(A,identity) = A,
inference(cp,[status(thm)],[eq_38,eq_35]) ).
cnf(eq_40,plain,
inverse(inverse(A)) = A,
inference(cp,[status(thm)],[eq_37,eq_38]) ).
cnf(eq_41,negated_conjecture,
divide(divide(a3,inverse(b3)),inverse(divide(c3,identity))) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(cp,[status(thm)],[eq_37,eq_29]) ).
cnf(eq_42,negated_conjecture,
multiply(multiply(a3,b3),multiply(c3,identity)) != 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_41,eq_6]),eq_22]),eq_6]),eq_6]),eq_6]) ).
cnf(eq_43,plain,
A = divide(divide(A,inverse(B)),B),
inference(rw,[status(thm)],[eq_26,eq_40]) ).
cnf(eq_44,plain,
divide(A,B) = inverse(divide(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_40]),eq_39]) ).
cnf(eq_45,plain,
inverse(A) = divide(B,inverse(divide(inverse(B),A))),
inference(cp,[status(thm)],[eq_36,eq_40]) ).
cnf(eq_46,plain,
divide(A,inverse(divide(inverse(A),B))) = inverse(B),
eq_45 ).
cnf(eq_47,plain,
divide(A,divide(B,inverse(A))) = inverse(B),
inference(rw,[status(thm)],[eq_46,eq_44]) ).
cnf(eq_48,plain,
A = divide(divide(divide(A,divide(inverse(B),C)),B),C),
inference(rw,[status(thm)],[eq_5,eq_44]) ).
cnf(eq_49,plain,
A = divide(divide(divide(A,divide(B,C)),inverse(B)),C),
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_19,eq_2]),eq_6]),eq_2]),eq_40]),eq_2]),eq_44]) ).
cnf(eq_50,negated_conjecture,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,divide(inverse(c3),b3)),
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_42,eq_6]),eq_6]),eq_7]),eq_39]),eq_6]),eq_6]),eq_6]),eq_44]) ).
cnf(eq_51,plain,
divide(divide(x100,divide(A,B)),divide(B,A)) = x100,
inference(cp,[status(thm)],[eq_44,eq_43]) ).
cnf(eq_52,plain,
A = divide(divide(A,divide(B,C)),divide(C,B)),
eq_51 ).
cnf(eq_53,plain,
divide(divide(A,inverse(C)),B) = divide(A,divide(B,C)),
inference(cp,[status(thm)],[eq_52,eq_49]) ).
cnf(eq_54,plain,
divide(divide(A,x101),B) = divide(A,divide(B,inverse(x101))),
inference(cp,[status(thm)],[eq_52,eq_48]) ).
cnf(eq_55,plain,
divide(A,divide(B,inverse(C))) = divide(divide(A,C),B),
eq_54 ).
cnf(eq_56,negated_conjecture,
divide(divide(a3,inverse(b3)),divide(A,divide(c3,inverse(A)))) != divide(a3,divide(inverse(c3),b3)),
inference(cp,[status(thm)],[eq_47,eq_50]) ).
cnf(eq_57,negated_conjecture,
divide(a3,divide(inverse(c3),b3)) != divide(a3,divide(inverse(c3),b3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_55]),eq_3]),eq_2]),eq_53]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP456-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 04:14:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.47/0.67 % SZS status Unsatisfiable
% 0.47/0.67 % SZS output start CNFRefutation for /tmp/MaedMax_20672
% See solution above
% 0.47/0.68
%------------------------------------------------------------------------------