TSTP Solution File: GRP594-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP594-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n007.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 0.71s 0.93s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% Syntax : Number of clauses : 46 ( 46 unt; 0 nHn; 5 RR)
% Number of literals : 46 ( 45 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 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 : 110 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = inverse(double_divide(double_divide(B,C),inverse(double_divide(B,inverse(double_divide(A,C)))))),
file('/tmp/MaedMax_506') ).
cnf(eq_1,axiom,
inverse(double_divide(A,B)) = multiply(B,A),
file('/tmp/MaedMax_506') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/tmp/MaedMax_506') ).
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,
inverse(double_divide(double_divide(double_divide(B,C),inverse(double_divide(A,C))),A)) = B,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
inverse(double_divide(double_divide(x100,inverse(double_divide(B,inverse(double_divide(A,C))))),inverse(double_divide(x100,A)))) = double_divide(B,C),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
A = inverse(double_divide(double_divide(double_divide(A,B),inverse(double_divide(C,B))),C)),
eq_4 ).
cnf(eq_7,plain,
double_divide(A,B) = inverse(double_divide(double_divide(C,inverse(double_divide(A,inverse(double_divide(x3,B))))),inverse(double_divide(C,x3)))),
eq_5 ).
cnf(eq_8,plain,
A = multiply(B,double_divide(double_divide(A,C),multiply(C,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_1]),eq_1]) ).
cnf(eq_9,plain,
inverse(double_divide(double_divide(double_divide(double_divide(A,B),inverse(double_divide(inverse(double_divide(x102,x101)),B))),x101),A)) = x102,
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_10,plain,
inverse(double_divide(double_divide(x100,C),inverse(double_divide(x100,A)))) = double_divide(double_divide(A,B),inverse(double_divide(C,B))),
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_11,plain,
A = double_divide(inverse(double_divide(double_divide(A,inverse(double_divide(x102,x103))),x102)),x103),
inference(cp,[status(thm)],[eq_6,eq_7]) ).
cnf(eq_12,plain,
inverse(double_divide(double_divide(double_divide(x100,C),A),double_divide(double_divide(A,B),inverse(double_divide(C,B))))) = x100,
inference(cp,[status(thm)],[eq_6,eq_6]) ).
cnf(eq_13,plain,
double_divide(double_divide(A,B),inverse(double_divide(C,B))) = inverse(double_divide(double_divide(x3,C),inverse(double_divide(x3,A)))),
eq_10 ).
cnf(eq_14,plain,
A = inverse(double_divide(double_divide(double_divide(A,B),C),double_divide(double_divide(C,x3),inverse(double_divide(B,x3))))),
eq_12 ).
cnf(eq_15,plain,
A = inverse(double_divide(double_divide(double_divide(double_divide(B,C),inverse(double_divide(inverse(double_divide(A,x3)),C))),x3),B)),
eq_9 ).
cnf(eq_16,plain,
A = double_divide(inverse(double_divide(double_divide(A,inverse(double_divide(B,C))),B)),C),
eq_11 ).
cnf(eq_17,plain,
double_divide(double_divide(A,B),multiply(B,C)) = multiply(multiply(A,x3),double_divide(x3,C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_1]),eq_1]),eq_1]) ).
cnf(eq_18,plain,
multiply(C,multiply(multiply(A,x3),double_divide(x3,C))) = A,
inference(cp,[status(thm)],[eq_17,eq_8]) ).
cnf(eq_19,plain,
A = multiply(B,multiply(multiply(A,C),double_divide(C,B))),
eq_18 ).
cnf(eq_20,plain,
A = inverse(double_divide(inverse(double_divide(double_divide(B,C),inverse(double_divide(B,A)))),C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_1]),eq_1]),eq_1]) ).
cnf(eq_21,plain,
double_divide(inverse(double_divide(double_divide(x100,A),double_divide(double_divide(A,B),inverse(double_divide(C,B))))),C) = x100,
inference(cp,[status(thm)],[eq_6,eq_16]) ).
cnf(eq_22,plain,
inverse(double_divide(double_divide(double_divide(double_divide(x100,C),inverse(A)),B),x100)) = double_divide(A,inverse(double_divide(B,C))),
inference(cp,[status(thm)],[eq_16,eq_15]) ).
cnf(eq_23,plain,
double_divide(double_divide(A,B),inverse(double_divide(C,B))) = double_divide(double_divide(A,x103),inverse(double_divide(C,x103))),
inference(cp,[status(thm)],[eq_13,eq_13]) ).
cnf(eq_24,plain,
double_divide(A,inverse(double_divide(B,C))) = inverse(double_divide(double_divide(double_divide(double_divide(x3,C),inverse(A)),B),x3)),
eq_22 ).
cnf(eq_25,plain,
A = double_divide(inverse(double_divide(double_divide(A,B),double_divide(double_divide(B,C),inverse(double_divide(x3,C))))),x3),
eq_21 ).
cnf(eq_26,plain,
double_divide(double_divide(A,B),inverse(double_divide(C,B))) = double_divide(double_divide(A,x3),inverse(double_divide(C,x3))),
eq_23 ).
cnf(eq_27,plain,
double_divide(C,x101) = double_divide(x102,inverse(double_divide(inverse(double_divide(C,inverse(x102))),x101))),
inference(cp,[status(thm)],[eq_6,eq_24]) ).
cnf(eq_28,plain,
inverse(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),x102)),B)))) = x102,
inference(cp,[status(thm)],[eq_6,eq_20]) ).
cnf(eq_29,plain,
inverse(double_divide(inverse(double_divide(double_divide(C,B),inverse(double_divide(C,B)))),x3)) = x3,
inference(cp,[status(thm)],[eq_26,eq_20]) ).
cnf(eq_30,plain,
double_divide(A,B) = double_divide(C,inverse(double_divide(inverse(double_divide(A,inverse(C))),B))),
eq_27 ).
cnf(eq_31,plain,
A = inverse(double_divide(B,inverse(double_divide(inverse(double_divide(double_divide(B,C),A)),C)))),
eq_28 ).
cnf(eq_32,plain,
A = inverse(double_divide(inverse(double_divide(double_divide(B,C),inverse(double_divide(B,C)))),A)),
eq_29 ).
cnf(eq_33,plain,
inverse(double_divide(A,inverse(A))) = double_divide(double_divide(x3,C),inverse(double_divide(x3,C))),
inference(cp,[status(thm)],[eq_25,eq_31]) ).
cnf(eq_34,plain,
inverse(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(A,B),inverse(double_divide(C,B))),C),A)),x102)) = x102,
inference(cp,[status(thm)],[eq_6,eq_32]) ).
cnf(eq_35,plain,
A = inverse(double_divide(double_divide(double_divide(B,C),inverse(double_divide(B,C))),A)),
inference(rw,[status(thm)],[eq_34,eq_24]) ).
cnf(eq_36,plain,
double_divide(double_divide(A,B),inverse(double_divide(A,B))) = inverse(double_divide(C,inverse(C))),
eq_33 ).
cnf(eq_37,plain,
double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(x3,C),inverse(A))),C))) = x3,
inference(cp,[status(thm)],[eq_24,eq_35]) ).
cnf(eq_38,plain,
inverse(double_divide(double_divide(double_divide(inverse(double_divide(double_divide(A,inverse(double_divide(B,C))),B)),C),inverse(A)),x102)) = x102,
inference(cp,[status(thm)],[eq_16,eq_35]) ).
cnf(eq_39,plain,
A = double_divide(double_divide(A,B),B),
inference(rw,[status(thm)],[eq_37,eq_30]) ).
cnf(eq_40,plain,
A = inverse(double_divide(double_divide(B,inverse(B)),A)),
inference(rw,[status(thm)],[eq_38,eq_16]) ).
cnf(eq_41,negated_conjecture,
inverse(double_divide(a2,double_divide(double_divide(A,B),inverse(double_divide(A,B))))) != a2,
inference(cp,[status(thm)],[eq_36,eq_3]) ).
cnf(eq_42,plain,
inverse(double_divide(double_divide(double_divide(x100,double_divide(B,inverse(B))),x102),double_divide(double_divide(x102,A),A))) = x100,
inference(cp,[status(thm)],[eq_40,eq_14]) ).
cnf(eq_43,plain,
A = inverse(double_divide(A,double_divide(B,inverse(B)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_39]),eq_39]) ).
cnf(eq_44,negated_conjecture,
a2 != a2,
inference(cp,[status(thm)],[eq_43,eq_41]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP594-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n007.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 03:53:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/0.93 % SZS status Unsatisfiable
% 0.71/0.93 % SZS output start CNFRefutation for /tmp/MaedMax_506
% See solution above
% 0.71/0.93
%------------------------------------------------------------------------------