TSTP Solution File: GRP592-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP592-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n017.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 07:02:58 EDT 2022
% Result : Unsatisfiable 1.51s 1.68s
% Output : CNFRefutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of clauses : 40 ( 40 unt; 0 nHn; 4 RR)
% Number of literals : 40 ( 39 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(inverse(double_divide(double_divide(B,C),inverse(double_divide(B,inverse(A))))),C),
file('/tmp/MaedMax_21489') ).
cnf(eq_1,axiom,
inverse(double_divide(A,B)) = multiply(B,A),
file('/tmp/MaedMax_21489') ).
cnf(eq_2,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/tmp/MaedMax_21489') ).
cnf(eq_3,negated_conjecture,
inverse(double_divide(a,b)) != inverse(double_divide(b,a)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]) ).
cnf(eq_4,plain,
double_divide(inverse(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(B,C),inverse(double_divide(B,inverse(A))))),inverse(x102))))),C) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(B,inverse(x102)),inverse(double_divide(B,inverse(A))))),x101),inverse(A))),x101) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
A = double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(B,inverse(A)),inverse(double_divide(B,inverse(C))))),x3),inverse(C))),x3),
eq_5 ).
cnf(eq_7,plain,
A = double_divide(inverse(double_divide(B,inverse(double_divide(inverse(double_divide(double_divide(C,x3),inverse(double_divide(C,inverse(B))))),inverse(A))))),x3),
eq_4 ).
cnf(eq_8,plain,
double_divide(inverse(double_divide(A,inverse(A))),inverse(x101)) = x101,
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_9,plain,
double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(B,inverse(x102)),inverse(double_divide(B,inverse(A))))),inverse(x101)),inverse(A))),x103),inverse(x102))),x103) = x101,
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_10,plain,
A = double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(B,inverse(C)),inverse(double_divide(B,inverse(x3))))),inverse(A)),inverse(x3))),x4),inverse(C))),x4),
eq_9 ).
cnf(eq_11,plain,
A = double_divide(inverse(double_divide(B,inverse(B))),inverse(A)),
eq_8 ).
cnf(eq_12,plain,
double_divide(inverse(inverse(double_divide(B,inverse(B)))),inverse(x101)) = x101,
inference(cp,[status(thm)],[eq_11,eq_11]) ).
cnf(eq_13,plain,
double_divide(inverse(double_divide(x100,inverse(A))),inverse(x100)) = A,
inference(cp,[status(thm)],[eq_11,eq_7]) ).
cnf(eq_14,plain,
double_divide(inverse(double_divide(x100,inverse(double_divide(inverse(double_divide(A,inverse(double_divide(inverse(double_divide(B,inverse(B))),inverse(x100))))),inverse(x103))))),inverse(A)) = x103,
inference(cp,[status(thm)],[eq_11,eq_7]) ).
cnf(eq_15,plain,
double_divide(inverse(double_divide(double_divide(inverse(double_divide(A,inverse(x101))),x104),inverse(x101))),x104) = A,
inference(cp,[status(thm)],[eq_11,eq_10]) ).
cnf(eq_16,plain,
double_divide(inverse(double_divide(double_divide(inverse(double_divide(A,inverse(A))),x104),inverse(x101))),x104) = x101,
inference(cp,[status(thm)],[eq_0,eq_10]) ).
cnf(eq_17,plain,
A = double_divide(inverse(double_divide(B,inverse(double_divide(inverse(double_divide(C,inverse(B))),inverse(A))))),inverse(C)),
inference(rw,[status(thm)],[eq_14,eq_11]) ).
cnf(eq_18,plain,
A = double_divide(inverse(inverse(double_divide(B,inverse(B)))),inverse(A)),
eq_12 ).
cnf(eq_19,plain,
A = double_divide(inverse(double_divide(double_divide(inverse(double_divide(B,inverse(B))),C),inverse(A))),C),
eq_16 ).
cnf(eq_20,plain,
A = double_divide(inverse(double_divide(B,inverse(A))),inverse(B)),
eq_13 ).
cnf(eq_21,plain,
A = double_divide(inverse(double_divide(double_divide(inverse(double_divide(A,inverse(B))),C),inverse(B))),C),
eq_15 ).
cnf(eq_22,plain,
double_divide(inverse(A),inverse(inverse(inverse(double_divide(B,inverse(B)))))) = A,
inference(cp,[status(thm)],[eq_18,eq_20]) ).
cnf(eq_23,plain,
double_divide(inverse(A),inverse(inverse(double_divide(double_divide(inverse(double_divide(B,inverse(B))),inverse(x101)),inverse(A))))) = x101,
inference(cp,[status(thm)],[eq_19,eq_20]) ).
cnf(eq_24,plain,
double_divide(inverse(double_divide(A,inverse(double_divide(B,inverse(A))))),C) = double_divide(B,C),
inference(cp,[status(thm)],[eq_0,eq_21]) ).
cnf(eq_25,plain,
double_divide(A,B) = double_divide(inverse(double_divide(C,inverse(double_divide(A,inverse(C))))),B),
eq_24 ).
cnf(eq_26,plain,
A = double_divide(inverse(B),inverse(inverse(double_divide(A,inverse(B))))),
inference(rw,[status(thm)],[eq_23,eq_11]) ).
cnf(eq_27,plain,
A = double_divide(B,inverse(double_divide(inverse(double_divide(inverse(inverse(double_divide(x101,inverse(x101)))),inverse(B))),inverse(A)))),
inference(cp,[status(thm)],[eq_17,eq_22]) ).
cnf(eq_28,plain,
A = inverse(double_divide(A,inverse(double_divide(x100,inverse(x100))))),
inference(cp,[status(thm)],[eq_26,eq_11]) ).
cnf(eq_29,plain,
double_divide(inverse(double_divide(double_divide(inverse(double_divide(A,inverse(x101))),x102),inverse(x101))),x102) = inverse(double_divide(C,inverse(double_divide(A,inverse(C))))),
inference(cp,[status(thm)],[eq_25,eq_21]) ).
cnf(eq_30,plain,
A = inverse(double_divide(A,inverse(double_divide(B,inverse(B))))),
eq_28 ).
cnf(eq_31,plain,
A = double_divide(B,inverse(double_divide(inverse(B),inverse(A)))),
inference(rw,[status(thm)],[eq_27,eq_18]) ).
cnf(eq_32,plain,
A = inverse(double_divide(B,inverse(double_divide(A,inverse(B))))),
inference(rw,[status(thm)],[eq_29,eq_21]) ).
cnf(eq_33,plain,
double_divide(x100,A) = double_divide(A,inverse(inverse(x100))),
inference(cp,[status(thm)],[eq_32,eq_31]) ).
cnf(eq_34,plain,
inverse(inverse(B)) = B,
inference(cp,[status(thm)],[eq_31,eq_30]) ).
cnf(eq_35,plain,
A = inverse(inverse(A)),
eq_34 ).
cnf(eq_36,plain,
double_divide(A,B) = double_divide(B,inverse(inverse(A))),
eq_33 ).
cnf(eq_37,plain,
double_divide(A,B) = double_divide(B,A),
inference(rw,[status(thm)],[eq_36,eq_35]) ).
cnf(eq_38,negated_conjecture,
inverse(double_divide(b,a)) != inverse(double_divide(b,a)),
inference(cp,[status(thm)],[eq_37,eq_3]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP592-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n017.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 03:47:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.51/1.68 % SZS status Unsatisfiable
% 1.51/1.68 % SZS output start CNFRefutation for /tmp/MaedMax_21489
% See solution above
% 1.51/1.68
%------------------------------------------------------------------------------