TSTP Solution File: GRP609-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP609-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n013.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 0.99s 1.17s
% Output : CNFRefutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of clauses : 51 ( 51 unt; 0 nHn; 10 RR)
% Number of literals : 51 ( 50 equ; 8 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 : 109 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = inverse(double_divide(inverse(double_divide(inverse(double_divide(B,A)),C)),double_divide(B,C))),
file('/tmp/MaedMax_29311') ).
cnf(eq_1,axiom,
inverse(double_divide(A,B)) = multiply(B,A),
file('/tmp/MaedMax_29311') ).
cnf(eq_2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/tmp/MaedMax_29311') ).
cnf(eq_3,plain,
A = multiply(double_divide(B,C),multiply(C,multiply(A,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_1]),eq_1]),eq_1]) ).
cnf(eq_4,negated_conjecture,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]) ).
cnf(eq_5,plain,
inverse(double_divide(A,double_divide(inverse(double_divide(B,A)),double_divide(B,C)))) = C,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
inverse(double_divide(inverse(double_divide(A,x102)),double_divide(inverse(double_divide(inverse(double_divide(B,A)),C)),x102))) = double_divide(B,C),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_7,plain,
A = inverse(double_divide(B,double_divide(inverse(double_divide(C,B)),double_divide(C,A)))),
eq_5 ).
cnf(eq_8,plain,
double_divide(A,B) = inverse(double_divide(inverse(double_divide(C,x3)),double_divide(inverse(double_divide(inverse(double_divide(A,C)),B)),x3))),
eq_6 ).
cnf(eq_9,plain,
A = multiply(double_divide(multiply(B,C),double_divide(C,A)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_1]),eq_1]) ).
cnf(eq_10,plain,
inverse(double_divide(double_divide(B,C),double_divide(A,double_divide(inverse(double_divide(inverse(double_divide(B,A)),C)),x102)))) = x102,
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_11,plain,
A = double_divide(x102,inverse(double_divide(x100,double_divide(inverse(double_divide(x102,x100)),A)))),
inference(cp,[status(thm)],[eq_7,eq_8]) ).
cnf(eq_12,plain,
inverse(double_divide(A,double_divide(x100,double_divide(inverse(double_divide(C,inverse(double_divide(x100,x101)))),double_divide(C,A))))) = x101,
inference(cp,[status(thm)],[eq_7,eq_0]) ).
cnf(eq_13,plain,
inverse(double_divide(inverse(double_divide(A,x102)),double_divide(B,x102))) = double_divide(inverse(double_divide(C,B)),double_divide(C,A)),
inference(cp,[status(thm)],[eq_7,eq_0]) ).
cnf(eq_14,plain,
A = double_divide(B,inverse(double_divide(C,double_divide(inverse(double_divide(B,C)),A)))),
eq_11 ).
cnf(eq_15,plain,
A = inverse(double_divide(B,double_divide(C,double_divide(inverse(double_divide(x3,inverse(double_divide(C,A)))),double_divide(x3,B))))),
eq_12 ).
cnf(eq_16,plain,
double_divide(inverse(double_divide(A,B)),double_divide(A,C)) = inverse(double_divide(inverse(double_divide(C,x3)),double_divide(B,x3))),
eq_13 ).
cnf(eq_17,plain,
A = inverse(double_divide(double_divide(B,C),double_divide(x3,double_divide(inverse(double_divide(inverse(double_divide(B,x3)),C)),A)))),
eq_10 ).
cnf(eq_18,plain,
double_divide(multiply(A,B),double_divide(B,C)) = multiply(double_divide(A,x3),multiply(x3,C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_1]),eq_1]),eq_1]) ).
cnf(eq_19,plain,
A = multiply(double_divide(B,double_divide(multiply(C,multiply(B,x3)),A)),double_divide(x3,C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_1]),eq_1]),eq_1]) ).
cnf(eq_20,plain,
multiply(multiply(double_divide(A,x3),multiply(x3,C)),A) = C,
inference(cp,[status(thm)],[eq_18,eq_9]) ).
cnf(eq_21,plain,
A = multiply(multiply(double_divide(B,C),multiply(C,A)),B),
eq_20 ).
cnf(eq_22,plain,
A = inverse(double_divide(B,inverse(double_divide(inverse(double_divide(A,C)),double_divide(B,C))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_1]),eq_1]),eq_1]) ).
cnf(eq_23,plain,
double_divide(x100,A) = double_divide(inverse(double_divide(inverse(double_divide(B,inverse(double_divide(x100,double_divide(B,C))))),C)),A),
inference(cp,[status(thm)],[eq_17,eq_14]) ).
cnf(eq_24,plain,
inverse(double_divide(x100,double_divide(C,double_divide(inverse(A),double_divide(B,x100))))) = double_divide(inverse(double_divide(B,C)),A),
inference(cp,[status(thm)],[eq_14,eq_15]) ).
cnf(eq_25,plain,
double_divide(A,B) = double_divide(inverse(double_divide(inverse(double_divide(C,inverse(double_divide(A,double_divide(C,x3))))),x3)),B),
eq_23 ).
cnf(eq_26,plain,
double_divide(inverse(double_divide(A,B)),C) = inverse(double_divide(x3,double_divide(B,double_divide(inverse(C),double_divide(A,x3))))),
eq_24 ).
cnf(eq_27,plain,
double_divide(inverse(double_divide(A,inverse(double_divide(inverse(C),x3)))),C) = double_divide(A,x3),
inference(cp,[status(thm)],[eq_26,eq_7]) ).
cnf(eq_28,plain,
inverse(double_divide(inverse(double_divide(C,inverse(double_divide(x101,double_divide(C,A))))),A)) = x101,
inference(cp,[status(thm)],[eq_7,eq_22]) ).
cnf(eq_29,plain,
double_divide(A,B) = double_divide(inverse(double_divide(A,inverse(double_divide(inverse(C),B)))),C),
eq_27 ).
cnf(eq_30,plain,
A = inverse(double_divide(inverse(double_divide(B,inverse(double_divide(A,double_divide(B,C))))),C)),
eq_28 ).
cnf(eq_31,negated_conjecture,
inverse(double_divide(inverse(double_divide(inverse(double_divide(C,inverse(double_divide(a1,double_divide(C,x3))))),x3)),inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(cp,[status(thm)],[eq_25,eq_4]) ).
cnf(eq_32,negated_conjecture,
inverse(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(double_divide(a1,double_divide(A,B))))),B)),inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
eq_31 ).
cnf(eq_33,plain,
inverse(double_divide(A,double_divide(A,C))) = inverse(C),
inference(cp,[status(thm)],[eq_29,eq_30]) ).
cnf(eq_34,plain,
inverse(A) = inverse(double_divide(B,double_divide(B,A))),
eq_33 ).
cnf(eq_35,plain,
inverse(A) = multiply(double_divide(B,A),B),
inference(rw,[status(thm)],[eq_34,eq_1]) ).
cnf(eq_36,negated_conjecture,
multiply(inverse(a1),multiply(A,multiply(multiply(double_divide(B,A),a1),B))) != multiply(inverse(b1),b1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_1]),eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_37,plain,
inverse(double_divide(multiply(x101,multiply(double_divide(x102,x101),x102)),x103)) = x103,
inference(cp,[status(thm)],[eq_35,eq_19]) ).
cnf(eq_38,plain,
multiply(inverse(A),multiply(A,x102)) = x102,
inference(cp,[status(thm)],[eq_35,eq_21]) ).
cnf(eq_39,plain,
A = multiply(inverse(B),multiply(B,A)),
eq_38 ).
cnf(eq_40,plain,
A = multiply(A,multiply(B,inverse(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_37,eq_35]),eq_1]) ).
cnf(eq_41,plain,
multiply(double_divide(A,inverse(B)),A) = B,
inference(cp,[status(thm)],[eq_39,eq_3]) ).
cnf(eq_42,plain,
multiply(double_divide(inverse(B),A),A) = B,
inference(cp,[status(thm)],[eq_40,eq_3]) ).
cnf(eq_43,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_41,eq_35]) ).
cnf(eq_44,plain,
A = multiply(double_divide(inverse(A),B),B),
eq_42 ).
cnf(eq_45,plain,
multiply(double_divide(A,x101),x101) = inverse(A),
inference(cp,[status(thm)],[eq_43,eq_44]) ).
cnf(eq_46,plain,
inverse(A) = multiply(double_divide(A,B),B),
eq_45 ).
cnf(eq_47,negated_conjecture,
multiply(inverse(a1),multiply(a1,multiply(inverse(A),A))) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_46,eq_36]) ).
cnf(eq_48,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(b1),b1),
inference(rw,[status(thm)],[eq_47,eq_39]) ).
cnf(eq_49,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(A),A),
eq_48 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP609-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 26 04:21:00 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.99/1.17 % SZS status Unsatisfiable
% 0.99/1.17 % SZS output start CNFRefutation for /tmp/MaedMax_29311
% See solution above
% 0.99/1.17
%------------------------------------------------------------------------------