%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP571-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n006.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 07:02:56 EDT 2022
% Result : Unsatisfiable 1.36s 1.58s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of clauses : 60 ( 60 unt; 0 nHn; 15 RR)
% Number of literals : 60 ( 59 equ; 7 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(double_divide(B,double_divide(double_divide(A,double_divide(B,C)),double_divide(C,identity))),double_divide(identity,identity)),
file('/tmp/MaedMax_11597') ).
cnf(eq_1,axiom,
double_divide(double_divide(A,B),identity) = multiply(B,A),
file('/tmp/MaedMax_11597') ).
cnf(eq_2,axiom,
double_divide(A,identity) = inverse(A),
file('/tmp/MaedMax_11597') ).
cnf(eq_3,axiom,
double_divide(A,inverse(A)) = identity,
file('/tmp/MaedMax_11597') ).
cnf(eq_4,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_11597') ).
cnf(eq_5,plain,
A = double_divide(double_divide(B,double_divide(double_divide(A,double_divide(B,C)),inverse(C))),inverse(identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_2]),eq_2]) ).
cnf(eq_6,plain,
multiply(A,B) = inverse(double_divide(B,A)),
inference(rw,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_7,plain,
double_divide(double_divide(identity,double_divide(A,double_divide(identity,identity))),double_divide(identity,identity)) = double_divide(B,double_divide(double_divide(A,double_divide(B,C)),double_divide(C,identity))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_8,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) = double_divide(double_divide(identity,double_divide(B,double_divide(identity,identity))),double_divide(identity,identity)),
eq_7 ).
cnf(eq_9,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) = double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_2]),eq_2]),eq_2]) ).
cnf(eq_10,negated_conjecture,
inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_6]),eq_6]),eq_6]),eq_6]) ).
cnf(eq_11,plain,
double_divide(double_divide(A,double_divide(double_divide(x101,identity),inverse(inverse(A)))),inverse(identity)) = x101,
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_12,plain,
double_divide(double_divide(A,double_divide(double_divide(x101,inverse(A)),inverse(identity))),inverse(identity)) = x101,
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_13,plain,
A = double_divide(double_divide(B,double_divide(inverse(A),inverse(inverse(B)))),inverse(identity)),
inference(rw,[status(thm)],[eq_11,eq_2]) ).
cnf(eq_14,plain,
A = double_divide(double_divide(B,double_divide(double_divide(A,inverse(B)),inverse(identity))),inverse(identity)),
eq_12 ).
cnf(eq_15,plain,
inverse(A) = multiply(inverse(identity),double_divide(B,double_divide(double_divide(A,inverse(B)),inverse(identity)))),
inference(cp,[status(thm)],[eq_14,eq_6]) ).
cnf(eq_16,plain,
double_divide(A,double_divide(double_divide(x101,identity),inverse(inverse(A)))) = double_divide(double_divide(identity,double_divide(x101,inverse(identity))),inverse(identity)),
inference(cp,[status(thm)],[eq_3,eq_9]) ).
cnf(eq_17,plain,
double_divide(A,double_divide(double_divide(double_divide(x101,inverse(identity)),double_divide(A,C)),inverse(C))) = x101,
inference(cp,[status(thm)],[eq_9,eq_14]) ).
cnf(eq_18,plain,
double_divide(double_divide(identity,double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity))),inverse(identity)) = double_divide(identity,double_divide(B,inverse(identity))),
inference(cp,[status(thm)],[eq_9,eq_14]) ).
cnf(eq_19,plain,
double_divide(double_divide(x101,identity),inverse(identity)) = x101,
inference(cp,[status(thm)],[eq_3,eq_13]) ).
cnf(eq_20,plain,
double_divide(double_divide(identity,A),inverse(identity)) = double_divide(identity,double_divide(A,inverse(identity))),
inference(rw,[status(thm)],[eq_18,eq_5]) ).
cnf(eq_21,plain,
A = double_divide(inverse(A),inverse(identity)),
inference(rw,[status(thm)],[eq_19,eq_2]) ).
cnf(eq_22,plain,
multiply(inverse(identity),double_divide(A,double_divide(double_divide(B,inverse(A)),inverse(identity)))) = inverse(B),
eq_15 ).
cnf(eq_23,plain,
A = double_divide(B,double_divide(double_divide(double_divide(A,inverse(identity)),double_divide(B,C)),inverse(C))),
eq_17 ).
cnf(eq_24,plain,
double_divide(double_divide(identity,double_divide(A,inverse(identity))),inverse(identity)) = inverse(A),
inference(cp,[status(thm)],[eq_21,eq_14]) ).
cnf(eq_25,plain,
double_divide(inverse(identity),inverse(identity)) = double_divide(identity,double_divide(identity,inverse(identity))),
inference(cp,[status(thm)],[eq_2,eq_20]) ).
cnf(eq_26,plain,
identity = inverse(identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_21]),eq_3]),eq_2]) ).
cnf(eq_27,plain,
double_divide(identity,double_divide(double_divide(A,inverse(identity)),inverse(identity))) = inverse(A),
inference(rw,[status(thm)],[eq_24,eq_20]) ).
cnf(eq_28,plain,
double_divide(A,double_divide(inverse(B),inverse(inverse(A)))) = double_divide(identity,double_divide(double_divide(B,inverse(identity)),inverse(identity))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_2]),eq_20]) ).
cnf(eq_29,plain,
double_divide(x100,double_divide(double_divide(double_divide(x101,identity),double_divide(x100,x102)),inverse(x102))) = x101,
inference(cp,[status(thm)],[eq_26,eq_23]) ).
cnf(eq_30,plain,
double_divide(double_divide(x100,double_divide(double_divide(x101,double_divide(x100,x102)),inverse(x102))),identity) = x101,
inference(cp,[status(thm)],[eq_26,eq_5]) ).
cnf(eq_31,plain,
double_divide(inverse(x100),identity) = x100,
inference(cp,[status(thm)],[eq_26,eq_21]) ).
cnf(eq_32,plain,
double_divide(identity,double_divide(double_divide(x100,identity),inverse(identity))) = inverse(x100),
inference(cp,[status(thm)],[eq_26,eq_27]) ).
cnf(eq_33,plain,
A = double_divide(B,double_divide(double_divide(inverse(A),double_divide(B,C)),inverse(C))),
inference(rw,[status(thm)],[eq_29,eq_2]) ).
cnf(eq_34,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_31,eq_2]) ).
cnf(eq_35,plain,
A = inverse(double_divide(B,double_divide(double_divide(A,double_divide(B,C)),inverse(C)))),
inference(rw,[status(thm)],[eq_30,eq_2]) ).
cnf(eq_36,plain,
double_divide(identity,A) = inverse(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_2]),eq_21]) ).
cnf(eq_37,plain,
A = inverse(double_divide(B,inverse(double_divide(A,inverse(B))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_26]),eq_26]),eq_2]),eq_2]) ).
cnf(eq_38,plain,
double_divide(A,double_divide(inverse(B),A)) = inverse(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)],[eq_28,eq_34]),eq_26]),eq_26]),eq_2]),eq_2]),eq_34]),eq_36]) ).
cnf(eq_39,plain,
double_divide(A,inverse(double_divide(B,inverse(A)))) = inverse(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)],[eq_22,eq_26]),eq_26]),eq_2]),eq_6]),eq_2]),eq_34]) ).
cnf(eq_40,plain,
double_divide(double_divide(A,inverse(B)),A) = inverse(B),
inference(cp,[status(thm)],[eq_37,eq_39]) ).
cnf(eq_41,plain,
double_divide(inverse(B),double_divide(inverse(B),inverse(inverse(x101)))) = x101,
inference(cp,[status(thm)],[eq_38,eq_33]) ).
cnf(eq_42,plain,
double_divide(A,double_divide(double_divide(inverse(x101),identity),inverse(inverse(A)))) = x101,
inference(cp,[status(thm)],[eq_3,eq_33]) ).
cnf(eq_43,plain,
A = double_divide(inverse(B),double_divide(inverse(B),A)),
inference(rw,[status(thm)],[eq_41,eq_34]) ).
cnf(eq_44,plain,
A = double_divide(B,double_divide(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_2]),eq_34]),eq_34]) ).
cnf(eq_45,plain,
double_divide(double_divide(A,B),A) = B,
inference(cp,[status(thm)],[eq_44,eq_44]) ).
cnf(eq_46,plain,
double_divide(inverse(B),A) = inverse(double_divide(B,inverse(A))),
inference(cp,[status(thm)],[eq_39,eq_40]) ).
cnf(eq_47,plain,
double_divide(A,double_divide(inverse(inverse(A)),x101)) = x101,
inference(cp,[status(thm)],[eq_34,eq_43]) ).
cnf(eq_48,plain,
double_divide(inverse(A),B) = inverse(double_divide(A,inverse(B))),
eq_46 ).
cnf(eq_49,plain,
A = double_divide(double_divide(B,A),B),
eq_45 ).
cnf(eq_50,plain,
A = double_divide(B,double_divide(B,A)),
inference(rw,[status(thm)],[eq_47,eq_34]) ).
cnf(eq_51,plain,
double_divide(B,A) = double_divide(A,B),
inference(cp,[status(thm)],[eq_44,eq_50]) ).
cnf(eq_52,negated_conjecture,
inverse(double_divide(c3,inverse(double_divide(a3,b3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
inference(cp,[status(thm)],[eq_51,eq_10]) ).
cnf(eq_53,negated_conjecture,
inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(a3,b3)))),
eq_52 ).
cnf(eq_54,plain,
inverse(double_divide(x100,double_divide(A,inverse(x102)))) = double_divide(double_divide(x100,x102),A),
inference(cp,[status(thm)],[eq_49,eq_35]) ).
cnf(eq_55,plain,
double_divide(double_divide(A,B),C) = inverse(double_divide(A,double_divide(C,inverse(B)))),
eq_54 ).
cnf(eq_56,negated_conjecture,
double_divide(double_divide(c3,b3),inverse(a3)) != inverse(double_divide(c3,inverse(double_divide(a3,b3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_48]),eq_34]) ).
cnf(eq_57,negated_conjecture,
inverse(double_divide(c3,double_divide(inverse(a3),inverse(b3)))) != inverse(double_divide(c3,inverse(double_divide(a3,b3)))),
inference(cp,[status(thm)],[eq_55,eq_56]) ).
cnf(eq_58,negated_conjecture,
inverse(double_divide(c3,inverse(double_divide(a3,b3)))) != inverse(double_divide(c3,inverse(double_divide(a3,b3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_48]),eq_34]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP571-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n006.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 04:09:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.36/1.58 % SZS status Unsatisfiable
% 1.36/1.58 % SZS output start CNFRefutation for /tmp/MaedMax_11597
% See solution above
% 1.36/1.58
%------------------------------------------------------------------------------