TSTP Solution File: GRP584-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP584-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 07:02:57 EDT 2022
% Result : Unsatisfiable 0.53s 0.75s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of clauses : 47 ( 47 unt; 0 nHn; 9 RR)
% Number of literals : 47 ( 46 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 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 : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(double_divide(B,double_divide(double_divide(identity,C),double_divide(A,double_divide(C,B)))),double_divide(identity,identity)),
file('/tmp/MaedMax_2339') ).
cnf(eq_1,axiom,
double_divide(double_divide(A,B),identity) = multiply(B,A),
file('/tmp/MaedMax_2339') ).
cnf(eq_2,axiom,
double_divide(A,identity) = inverse(A),
file('/tmp/MaedMax_2339') ).
cnf(eq_3,axiom,
identity = double_divide(A,inverse(A)),
file('/tmp/MaedMax_2339') ).
cnf(eq_4,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/tmp/MaedMax_2339') ).
cnf(eq_5,plain,
A = double_divide(double_divide(B,double_divide(double_divide(identity,C),double_divide(A,double_divide(C,B)))),inverse(identity)),
inference(rw,[status(thm)],[eq_0,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,negated_conjecture,
double_divide(double_divide(a,b),identity) != double_divide(double_divide(b,a),identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_1]),eq_1]) ).
cnf(eq_8,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,identity),A)),double_divide(identity,identity)) = double_divide(B,double_divide(double_divide(identity,C),double_divide(A,double_divide(C,B)))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_9,plain,
double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(B,double_divide(double_divide(identity,C),double_divide(A,double_divide(C,B))))),double_divide(x102,A))),double_divide(identity,identity)) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_10,plain,
A = double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(B,double_divide(double_divide(identity,C),double_divide(x3,double_divide(C,B))))),double_divide(A,x3))),double_divide(identity,identity)),
eq_9 ).
cnf(eq_11,plain,
double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),C)),double_divide(identity,identity)),
eq_8 ).
cnf(eq_12,plain,
double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))) = double_divide(double_divide(identity,double_divide(inverse(identity),C)),inverse(identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_2]),eq_2]) ).
cnf(eq_13,plain,
double_divide(double_divide(inverse(A),double_divide(double_divide(identity,A),double_divide(x102,identity))),inverse(identity)) = x102,
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_14,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,A),double_divide(x102,inverse(A)))),inverse(identity)) = x102,
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_15,plain,
A = double_divide(double_divide(inverse(B),double_divide(double_divide(identity,B),inverse(A))),inverse(identity)),
inference(rw,[status(thm)],[eq_13,eq_2]) ).
cnf(eq_16,plain,
A = double_divide(double_divide(identity,double_divide(double_divide(identity,B),double_divide(A,inverse(B)))),inverse(identity)),
eq_14 ).
cnf(eq_17,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,A),identity)),inverse(identity)) = A,
inference(cp,[status(thm)],[eq_3,eq_16]) ).
cnf(eq_18,plain,
double_divide(double_divide(inverse(x100),identity),inverse(identity)) = double_divide(identity,x100),
inference(cp,[status(thm)],[eq_3,eq_15]) ).
cnf(eq_19,plain,
A = double_divide(double_divide(identity,inverse(double_divide(identity,A))),inverse(identity)),
inference(rw,[status(thm)],[eq_17,eq_2]) ).
cnf(eq_20,plain,
double_divide(identity,A) = double_divide(inverse(inverse(A)),inverse(identity)),
inference(rw,[status(thm)],[eq_18,eq_2]) ).
cnf(eq_21,plain,
double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = inverse(identity),
inference(cp,[status(thm)],[eq_3,eq_19]) ).
cnf(eq_22,plain,
identity = inverse(identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_3]),eq_3]) ).
cnf(eq_23,plain,
double_divide(inverse(inverse(x100)),identity) = double_divide(identity,x100),
inference(cp,[status(thm)],[eq_22,eq_20]) ).
cnf(eq_24,plain,
double_divide(identity,A) = inverse(inverse(inverse(A))),
inference(rw,[status(thm)],[eq_23,eq_2]) ).
cnf(eq_25,plain,
A = inverse(inverse(inverse(inverse(double_divide(inverse(inverse(inverse(B))),double_divide(A,inverse(B))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_24]),eq_22]),eq_24]),eq_2]) ).
cnf(eq_26,plain,
A = inverse(double_divide(inverse(B),double_divide(inverse(inverse(inverse(B))),inverse(A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_24]),eq_22]),eq_2]) ).
cnf(eq_27,plain,
A = inverse(double_divide(B,double_divide(inverse(inverse(inverse(C))),double_divide(A,double_divide(C,B))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_24]),eq_22]),eq_2]) ).
cnf(eq_28,plain,
A = inverse(inverse(inverse(inverse(double_divide(inverse(inverse(inverse(double_divide(B,double_divide(inverse(inverse(inverse(C))),double_divide(x3,double_divide(C,B))))))),double_divide(A,x3)))))),
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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_24]),eq_24]),eq_24]),eq_22]),eq_24]),eq_22]),eq_22]),eq_22]),eq_22]),eq_22]),eq_24]),eq_2]) ).
cnf(eq_29,plain,
inverse(inverse(inverse(A))) = inverse(inverse(inverse(inverse(inverse(A))))),
inference(cp,[status(thm)],[eq_26,eq_25]) ).
cnf(eq_30,plain,
inverse(inverse(inverse(inverse(double_divide(inverse(inverse(A)),double_divide(x103,A)))))) = x103,
inference(cp,[status(thm)],[eq_27,eq_28]) ).
cnf(eq_31,plain,
A = inverse(inverse(inverse(inverse(double_divide(inverse(inverse(B)),double_divide(A,B)))))),
eq_30 ).
cnf(eq_32,plain,
inverse(double_divide(inverse(inverse(inverse(inverse(double_divide(inverse(inverse(B)),double_divide(A,B)))))),double_divide(inverse(inverse(A)),inverse(x101)))) = x101,
inference(cp,[status(thm)],[eq_31,eq_26]) ).
cnf(eq_33,plain,
inverse(inverse(A)) = inverse(inverse(inverse(inverse(double_divide(inverse(inverse(B)),double_divide(A,B)))))),
inference(cp,[status(thm)],[eq_31,eq_29]) ).
cnf(eq_34,plain,
A = inverse(double_divide(B,double_divide(inverse(inverse(B)),inverse(A)))),
inference(rw,[status(thm)],[eq_32,eq_31]) ).
cnf(eq_35,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_33,eq_31]) ).
cnf(eq_36,plain,
inverse(double_divide(A,double_divide(A,inverse(x101)))) = x101,
inference(cp,[status(thm)],[eq_35,eq_34]) ).
cnf(eq_37,plain,
A = inverse(double_divide(B,double_divide(B,inverse(A)))),
eq_36 ).
cnf(eq_38,plain,
double_divide(identity,A) = inverse(A),
inference(rw,[status(thm)],[eq_24,eq_35]) ).
cnf(eq_39,plain,
double_divide(A,double_divide(inverse(B),double_divide(C,double_divide(B,A)))) = inverse(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)],[inference(rw,[status(thm)],[eq_12,eq_38]),eq_22]),eq_22]),eq_38]),eq_38]),eq_35]),eq_2]) ).
cnf(eq_40,plain,
double_divide(double_divide(B,double_divide(B,inverse(A))),A) = identity,
inference(cp,[status(thm)],[eq_37,eq_3]) ).
cnf(eq_41,plain,
identity = double_divide(double_divide(A,double_divide(A,inverse(B))),B),
eq_40 ).
cnf(eq_42,plain,
double_divide(x100,double_divide(inverse(x101),identity)) = inverse(double_divide(A,double_divide(A,inverse(double_divide(x101,x100))))),
inference(cp,[status(thm)],[eq_41,eq_39]) ).
cnf(eq_43,plain,
double_divide(A,B) = double_divide(B,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_2]),eq_35]),eq_37]) ).
cnf(eq_44,negated_conjecture,
double_divide(double_divide(a,b),identity) != double_divide(double_divide(a,b),identity),
inference(cp,[status(thm)],[eq_43,eq_7]) ).
cnf(eq_45,negated_conjecture,
multiply(b,a) != multiply(b,a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_44,eq_2]),eq_6]),eq_2]),eq_6]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP584-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 04:14:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.53/0.75 % SZS status Unsatisfiable
% 0.53/0.75 % SZS output start CNFRefutation for /tmp/MaedMax_2339
% See solution above
% 0.53/0.75
%------------------------------------------------------------------------------