%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP551-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n004.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 07:02:54 EDT 2022
% Result : Unsatisfiable 0.58s 0.79s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of clauses : 53 ( 53 unt; 0 nHn; 15 RR)
% Number of literals : 53 ( 52 equ; 10 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 68 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(divide(identity,B),divide(divide(divide(C,B),A),C)),
file('/tmp/MaedMax_2975') ).
cnf(eq_1,axiom,
divide(A,divide(identity,B)) = multiply(A,B),
file('/tmp/MaedMax_2975') ).
cnf(eq_2,axiom,
divide(identity,A) = inverse(A),
file('/tmp/MaedMax_2975') ).
cnf(eq_3,axiom,
identity = divide(A,A),
file('/tmp/MaedMax_2975') ).
cnf(eq_4,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_2975') ).
cnf(eq_5,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(rw,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_6,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_7,plain,
divide(identity,divide(divide(divide(x101,identity),x102),x101)) = x102,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_8,plain,
divide(divide(identity,B),divide(A,identity)) = divide(divide(divide(C,B),A),C),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_9,plain,
divide(divide(identity,x100),divide(identity,x101)) = divide(x101,x100),
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_10,plain,
divide(divide(identity,divide(divide(divide(C,B),A),C)),divide(divide(A,x102),divide(identity,B))) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_11,plain,
divide(divide(identity,A),divide(divide(identity,x102),A)) = x102,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_12,plain,
divide(divide(identity,A),divide(B,identity)) = divide(divide(divide(C,A),B),C),
eq_8 ).
cnf(eq_13,plain,
A = divide(identity,divide(divide(divide(B,identity),A),B)),
eq_7 ).
cnf(eq_14,plain,
A = divide(divide(identity,B),divide(divide(identity,A),B)),
eq_11 ).
cnf(eq_15,plain,
A = divide(divide(identity,divide(divide(divide(B,C),x3),B)),divide(divide(x3,A),divide(identity,C))),
eq_10 ).
cnf(eq_16,plain,
divide(A,B) = divide(divide(identity,B),divide(identity,A)),
eq_9 ).
cnf(eq_17,plain,
A = multiply(identity,divide(A,identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_12]),eq_3]),eq_1]) ).
cnf(eq_18,plain,
divide(x100,identity) = multiply(x100,identity),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_19,plain,
divide(multiply(identity,B),divide(divide(identity,x101),divide(identity,B))) = x101,
inference(cp,[status(thm)],[eq_1,eq_14]) ).
cnf(eq_20,plain,
divide(divide(identity,divide(identity,x101)),identity) = x101,
inference(cp,[status(thm)],[eq_3,eq_14]) ).
cnf(eq_21,plain,
A = divide(multiply(identity,A),identity),
inference(rw,[status(thm)],[eq_20,eq_1]) ).
cnf(eq_22,plain,
divide(A,identity) = multiply(A,identity),
eq_18 ).
cnf(eq_23,plain,
A = divide(multiply(identity,B),multiply(divide(identity,A),B)),
inference(rw,[status(thm)],[eq_19,eq_1]) ).
cnf(eq_24,plain,
A = divide(inverse(inverse(A)),identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_5]),eq_2]) ).
cnf(eq_25,plain,
A = inverse(inverse(divide(A,identity))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_5]),eq_2]) ).
cnf(eq_26,plain,
A = divide(inverse(inverse(B)),divide(inverse(A),inverse(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_23,eq_5]),eq_2]),eq_2]),eq_5]) ).
cnf(eq_27,plain,
divide(A,B) = divide(inverse(B),inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_2]),eq_2]) ).
cnf(eq_28,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_6,eq_2]),eq_2]),eq_2]),eq_2]) ).
cnf(eq_29,plain,
A = inverse(inverse(multiply(A,identity))),
inference(rw,[status(thm)],[eq_25,eq_22]) ).
cnf(eq_30,plain,
divide(A,B) = multiply(inverse(B),A),
inference(rw,[status(thm)],[eq_27,eq_5]) ).
cnf(eq_31,plain,
A = multiply(inverse(inverse(A)),identity),
inference(rw,[status(thm)],[eq_24,eq_22]) ).
cnf(eq_32,plain,
A = divide(identity,inverse(A)),
inference(cp,[status(thm)],[eq_31,eq_30]) ).
cnf(eq_33,plain,
multiply(A,x101) = divide(x101,inverse(multiply(A,identity))),
inference(cp,[status(thm)],[eq_29,eq_30]) ).
cnf(eq_34,plain,
multiply(A,B) = multiply(B,multiply(A,identity)),
inference(rw,[status(thm)],[eq_33,eq_5]) ).
cnf(eq_35,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_32,eq_2]) ).
cnf(eq_36,negated_conjecture,
multiply(inverse(inverse(divide(b3,inverse(c3)))),a3) != divide(divide(a3,inverse(b3)),inverse(c3)),
inference(cp,[status(thm)],[eq_30,eq_28]) ).
cnf(eq_37,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(inverse(inverse(multiply(b3,c3))),a3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_5]),eq_5]),eq_5]) ).
cnf(eq_38,plain,
A = divide(B,divide(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_35]),eq_5]),eq_30]) ).
cnf(eq_39,plain,
A = divide(A,identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_35]),eq_22]) ).
cnf(eq_40,plain,
divide(A,divide(identity,B)) = divide(B,divide(identity,A)),
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_39]),eq_39]),eq_1]) ).
cnf(eq_41,negated_conjecture,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(divide(b3,divide(identity,c3)),divide(identity,a3)),
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_37,eq_1]),eq_1]),eq_1]),eq_2]),eq_2]),eq_38]),eq_1]) ).
cnf(eq_42,plain,
divide(divide(divide(B,C),identity),B) = divide(identity,C),
inference(cp,[status(thm)],[eq_15,eq_38]) ).
cnf(eq_43,plain,
divide(identity,A) = divide(divide(B,A),B),
inference(rw,[status(thm)],[eq_42,eq_39]) ).
cnf(eq_44,plain,
divide(divide(A,x102),B) = divide(divide(identity,divide(B,A)),divide(x102,identity)),
inference(cp,[status(thm)],[eq_38,eq_12]) ).
cnf(eq_45,plain,
divide(A,B) = divide(identity,divide(B,A)),
inference(cp,[status(thm)],[eq_38,eq_43]) ).
cnf(eq_46,plain,
divide(divide(A,B),C) = divide(divide(identity,divide(C,A)),B),
inference(rw,[status(thm)],[eq_44,eq_39]) ).
cnf(eq_47,negated_conjecture,
divide(divide(b3,divide(identity,a3)),divide(identity,c3)) != divide(divide(b3,divide(identity,c3)),divide(identity,a3)),
inference(cp,[status(thm)],[eq_40,eq_41]) ).
cnf(eq_48,negated_conjecture,
divide(divide(b3,inverse(a3)),inverse(c3)) != divide(divide(b3,inverse(c3)),inverse(a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_2]),eq_2]),eq_2]),eq_2]) ).
cnf(eq_49,plain,
divide(divide(A,B),C) = divide(divide(A,C),B),
inference(rw,[status(thm)],[eq_46,eq_45]) ).
cnf(eq_50,negated_conjecture,
divide(divide(b3,inverse(a3)),inverse(c3)) != divide(divide(b3,inverse(a3)),inverse(c3)),
inference(cp,[status(thm)],[eq_49,eq_48]) ).
cnf(eq_51,negated_conjecture,
multiply(multiply(b3,a3),c3) != multiply(multiply(b3,a3),c3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_5]),eq_5]),eq_5]),eq_5]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP551-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n004.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 04:11:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.58/0.79 % SZS status Unsatisfiable
% 0.58/0.79 % SZS output start CNFRefutation for /tmp/MaedMax_2975
% See solution above
% 0.58/0.79
%------------------------------------------------------------------------------