TSTP Solution File: GRP606-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP606-1 : 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 07:02:59 EDT 2022
% Result : Unsatisfiable 0.51s 0.67s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of clauses : 43 ( 43 unt; 0 nHn; 8 RR)
% Number of literals : 43 ( 42 equ; 7 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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 : 77 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(inverse(double_divide(B,inverse(double_divide(inverse(A),double_divide(B,C))))),C),
file('/tmp/MaedMax_2135') ).
cnf(eq_1,axiom,
inverse(double_divide(A,B)) = multiply(B,A),
file('/tmp/MaedMax_2135') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/tmp/MaedMax_2135') ).
cnf(eq_3,negated_conjecture,
inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]) ).
cnf(eq_4,plain,
double_divide(inverse(double_divide(x100,inverse(A))),x102) = double_divide(B,inverse(double_divide(inverse(A),double_divide(B,double_divide(x100,x102))))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
double_divide(inverse(double_divide(inverse(double_divide(B,inverse(double_divide(inverse(A),double_divide(B,C))))),inverse(double_divide(inverse(x101),A)))),C) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
A = double_divide(inverse(double_divide(inverse(double_divide(B,inverse(double_divide(inverse(C),double_divide(B,x3))))),inverse(double_divide(inverse(A),C)))),x3),
eq_5 ).
cnf(eq_7,plain,
double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(C,x3))))) = double_divide(inverse(double_divide(C,inverse(B))),x3),
eq_4 ).
cnf(eq_8,plain,
double_divide(inverse(double_divide(inverse(double_divide(C,inverse(B))),x3)),double_divide(C,x3)) = B,
inference(cp,[status(thm)],[eq_7,eq_0]) ).
cnf(eq_9,plain,
double_divide(inverse(A),inverse(double_divide(inverse(x103),A))) = x103,
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_10,plain,
A = double_divide(inverse(double_divide(inverse(double_divide(B,inverse(A))),C)),double_divide(B,C)),
eq_8 ).
cnf(eq_11,plain,
A = double_divide(inverse(B),inverse(double_divide(inverse(A),B))),
eq_9 ).
cnf(eq_12,plain,
double_divide(inverse(inverse(double_divide(inverse(A),B))),inverse(A)) = B,
inference(cp,[status(thm)],[eq_11,eq_11]) ).
cnf(eq_13,plain,
double_divide(inverse(C),inverse(A)) = double_divide(B,inverse(double_divide(inverse(A),double_divide(B,C)))),
inference(cp,[status(thm)],[eq_0,eq_11]) ).
cnf(eq_14,plain,
double_divide(inverse(A),double_divide(inverse(double_divide(B,inverse(A))),double_divide(B,inverse(x101)))) = x101,
inference(cp,[status(thm)],[eq_10,eq_10]) ).
cnf(eq_15,plain,
double_divide(inverse(A),double_divide(x100,inverse(double_divide(inverse(A),double_divide(x100,inverse(x101)))))) = x101,
inference(cp,[status(thm)],[eq_11,eq_10]) ).
cnf(eq_16,plain,
double_divide(inverse(double_divide(inverse(A),x102)),double_divide(inverse(B),x102)) = double_divide(inverse(A),B),
inference(cp,[status(thm)],[eq_11,eq_10]) ).
cnf(eq_17,plain,
double_divide(inverse(x101),double_divide(B,double_divide(B,inverse(double_divide(inverse(x103),x101))))) = x103,
inference(cp,[status(thm)],[eq_10,eq_6]) ).
cnf(eq_18,plain,
double_divide(inverse(A),B) = double_divide(inverse(double_divide(inverse(A),C)),double_divide(inverse(B),C)),
eq_16 ).
cnf(eq_19,plain,
A = double_divide(inverse(B),double_divide(C,inverse(double_divide(inverse(B),double_divide(C,inverse(A)))))),
eq_15 ).
cnf(eq_20,plain,
A = double_divide(inverse(B),double_divide(inverse(double_divide(C,inverse(B))),double_divide(C,inverse(A)))),
eq_14 ).
cnf(eq_21,plain,
A = double_divide(inverse(B),double_divide(C,double_divide(C,inverse(double_divide(inverse(A),B))))),
eq_17 ).
cnf(eq_22,plain,
A = double_divide(inverse(inverse(double_divide(inverse(B),A))),inverse(B)),
eq_12 ).
cnf(eq_23,plain,
double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C)))) = double_divide(inverse(C),inverse(B)),
eq_13 ).
cnf(eq_24,plain,
double_divide(inverse(B),double_divide(inverse(B),A)) = A,
inference(cp,[status(thm)],[eq_11,eq_21]) ).
cnf(eq_25,plain,
double_divide(inverse(x100),double_divide(inverse(B),B)) = x100,
inference(cp,[status(thm)],[eq_18,eq_20]) ).
cnf(eq_26,plain,
double_divide(inverse(inverse(A)),inverse(B)) = inverse(double_divide(inverse(A),B)),
inference(cp,[status(thm)],[eq_11,eq_22]) ).
cnf(eq_27,plain,
A = double_divide(inverse(B),double_divide(inverse(inverse(A)),inverse(B))),
inference(rw,[status(thm)],[eq_19,eq_23]) ).
cnf(eq_28,plain,
A = double_divide(inverse(A),double_divide(inverse(B),B)),
eq_25 ).
cnf(eq_29,plain,
inverse(double_divide(inverse(A),B)) = double_divide(inverse(inverse(A)),inverse(B)),
eq_26 ).
cnf(eq_30,plain,
A = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_27,eq_24]) ).
cnf(eq_31,plain,
double_divide(inverse(A),A) = double_divide(inverse(B),B),
inference(cp,[status(thm)],[eq_28,eq_24]) ).
cnf(eq_32,plain,
double_divide(A,double_divide(inverse(inverse(A)),x101)) = x101,
inference(cp,[status(thm)],[eq_30,eq_24]) ).
cnf(eq_33,plain,
double_divide(A,inverse(A)) = double_divide(inverse(x101),x101),
inference(cp,[status(thm)],[eq_30,eq_31]) ).
cnf(eq_34,plain,
double_divide(A,inverse(A)) = double_divide(inverse(B),B),
eq_33 ).
cnf(eq_35,plain,
inverse(double_divide(inverse(A),B)) = double_divide(A,inverse(B)),
inference(rw,[status(thm)],[eq_29,eq_30]) ).
cnf(eq_36,plain,
A = double_divide(B,double_divide(B,A)),
inference(rw,[status(thm)],[eq_32,eq_30]) ).
cnf(eq_37,negated_conjecture,
inverse(double_divide(a2,inverse(double_divide(inverse(B),B)))) != a2,
inference(cp,[status(thm)],[eq_34,eq_3]) ).
cnf(eq_38,negated_conjecture,
inverse(double_divide(a2,inverse(double_divide(inverse(A),A)))) != a2,
eq_37 ).
cnf(eq_39,negated_conjecture,
inverse(double_divide(a2,double_divide(A,inverse(A)))) != a2,
inference(rw,[status(thm)],[eq_38,eq_35]) ).
cnf(eq_40,negated_conjecture,
inverse(inverse(a2)) != a2,
inference(cp,[status(thm)],[eq_36,eq_39]) ).
cnf(eq_41,negated_conjecture,
a2 != a2,
inference(rw,[status(thm)],[eq_40,eq_30]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP606-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Jul 26 04:20:51 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.51/0.67 % SZS status Unsatisfiable
% 0.51/0.67 % SZS output start CNFRefutation for /tmp/MaedMax_2135
% See solution above
% 0.51/0.67
%------------------------------------------------------------------------------