TSTP Solution File: GRP615-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP615-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n023.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 07:03:00 EDT 2022
% Result : Unsatisfiable 6.09s 6.33s
% Output : CNFRefutation 6.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of clauses : 69 ( 69 unt; 0 nHn; 10 RR)
% Number of literals : 69 ( 68 equ; 9 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 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 : 114 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(inverse(double_divide(inverse(double_divide(B,inverse(A))),C)),double_divide(B,C)),
file('/tmp/MaedMax_21035') ).
cnf(eq_1,axiom,
inverse(double_divide(A,B)) = multiply(B,A),
file('/tmp/MaedMax_21035') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_21035') ).
cnf(eq_3,negated_conjecture,
inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_4,plain,
double_divide(inverse(A),double_divide(inverse(double_divide(B,inverse(A))),double_divide(B,inverse(x101)))) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(B,inverse(A))),C)),inverse(x101))),double_divide(B,C))),A) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
A = double_divide(inverse(B),double_divide(inverse(double_divide(C,inverse(B))),double_divide(C,inverse(A)))),
eq_4 ).
cnf(eq_7,plain,
A = double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(B,inverse(C))),x3)),inverse(A))),double_divide(B,x3))),C),
eq_5 ).
cnf(eq_8,plain,
double_divide(inverse(double_divide(inverse(A),double_divide(inverse(double_divide(inverse(double_divide(B,inverse(inverse(x103)))),x3)),double_divide(B,x3)))),A) = x103,
inference(cp,[status(thm)],[eq_7,eq_7]) ).
cnf(eq_9,plain,
A = double_divide(inverse(double_divide(inverse(B),inverse(A))),B),
inference(rw,[status(thm)],[eq_8,eq_0]) ).
cnf(eq_10,plain,
double_divide(inverse(A),double_divide(inverse(inverse(x101)),inverse(A))) = x101,
inference(cp,[status(thm)],[eq_9,eq_9]) ).
cnf(eq_11,plain,
double_divide(inverse(A),double_divide(inverse(B),B)) = A,
inference(cp,[status(thm)],[eq_9,eq_0]) ).
cnf(eq_12,plain,
double_divide(inverse(double_divide(inverse(A),x102)),double_divide(inverse(double_divide(inverse(inverse(x101)),inverse(A))),x102)) = x101,
inference(cp,[status(thm)],[eq_9,eq_0]) ).
cnf(eq_13,plain,
A = double_divide(inverse(B),double_divide(inverse(inverse(A)),inverse(B))),
eq_10 ).
cnf(eq_14,plain,
A = double_divide(inverse(double_divide(inverse(B),C)),double_divide(inverse(double_divide(inverse(inverse(A)),inverse(B))),C)),
eq_12 ).
cnf(eq_15,plain,
A = double_divide(multiply(inverse(A),inverse(B)),B),
inference(rw,[status(thm)],[eq_9,eq_1]) ).
cnf(eq_16,plain,
inverse(A) = multiply(double_divide(inverse(inverse(A)),inverse(B)),inverse(B)),
inference(cp,[status(thm)],[eq_13,eq_1]) ).
cnf(eq_17,plain,
double_divide(multiply(B,A),double_divide(inverse(x101),x101)) = double_divide(A,B),
inference(cp,[status(thm)],[eq_1,eq_11]) ).
cnf(eq_18,plain,
double_divide(A,B) = double_divide(multiply(B,A),double_divide(inverse(C),C)),
eq_17 ).
cnf(eq_19,plain,
A = double_divide(inverse(double_divide(inverse(x101),x101)),inverse(A)),
inference(cp,[status(thm)],[eq_9,eq_11]) ).
cnf(eq_20,plain,
double_divide(inverse(x100),A) = double_divide(inverse(inverse(A)),inverse(x100)),
inference(cp,[status(thm)],[eq_13,eq_6]) ).
cnf(eq_21,plain,
A = double_divide(inverse(double_divide(inverse(B),B)),inverse(A)),
eq_19 ).
cnf(eq_22,plain,
double_divide(inverse(A),B) = double_divide(inverse(inverse(B)),inverse(A)),
eq_20 ).
cnf(eq_23,plain,
inverse(A) = multiply(B,multiply(inverse(A),inverse(B))),
inference(cp,[status(thm)],[eq_15,eq_1]) ).
cnf(eq_24,plain,
double_divide(inverse(A),double_divide(inverse(A),B)) = B,
inference(cp,[status(thm)],[eq_22,eq_13]) ).
cnf(eq_25,plain,
multiply(double_divide(inverse(A),B),inverse(A)) = inverse(B),
inference(cp,[status(thm)],[eq_22,eq_16]) ).
cnf(eq_26,plain,
A = double_divide(inverse(B),double_divide(inverse(B),A)),
eq_24 ).
cnf(eq_27,plain,
inverse(A) = multiply(double_divide(inverse(B),A),inverse(B)),
eq_25 ).
cnf(eq_28,negated_conjecture,
inverse(double_divide(inverse(inverse(a3)),inverse(double_divide(c3,b3)))) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
inference(cp,[status(thm)],[eq_22,eq_3]) ).
cnf(eq_29,plain,
A = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_14,eq_26]) ).
cnf(eq_30,plain,
double_divide(inverse(double_divide(inverse(B),B)),A) = inverse(A),
inference(cp,[status(thm)],[eq_21,eq_26]) ).
cnf(eq_31,plain,
double_divide(A,double_divide(inverse(x101),x101)) = inverse(A),
inference(cp,[status(thm)],[eq_29,eq_11]) ).
cnf(eq_32,plain,
double_divide(A,inverse(x101)) = double_divide(inverse(x101),A),
inference(cp,[status(thm)],[eq_29,eq_22]) ).
cnf(eq_33,plain,
A = inverse(double_divide(B,double_divide(B,inverse(A)))),
inference(cp,[status(thm)],[eq_0,eq_30]) ).
cnf(eq_34,plain,
double_divide(A,inverse(B)) = double_divide(inverse(B),A),
eq_32 ).
cnf(eq_35,plain,
inverse(A) = double_divide(A,double_divide(inverse(B),B)),
eq_31 ).
cnf(eq_36,negated_conjecture,
inverse(double_divide(a3,inverse(double_divide(c3,b3)))) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
inference(cp,[status(thm)],[eq_29,eq_28]) ).
cnf(eq_37,plain,
inverse(multiply(A,B)) = double_divide(B,A),
inference(rw,[status(thm)],[eq_18,eq_35]) ).
cnf(eq_38,plain,
multiply(x100,multiply(A,inverse(x100))) = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_29,eq_23]) ).
cnf(eq_39,plain,
multiply(double_divide(inverse(inverse(A)),x101),A) = inverse(x101),
inference(cp,[status(thm)],[eq_29,eq_27]) ).
cnf(eq_40,plain,
double_divide(x100,A) = double_divide(inverse(inverse(A)),x100),
inference(cp,[status(thm)],[eq_29,eq_34]) ).
cnf(eq_41,plain,
double_divide(A,B) = double_divide(B,A),
inference(rw,[status(thm)],[eq_40,eq_29]) ).
cnf(eq_42,plain,
A = multiply(B,multiply(A,inverse(B))),
inference(rw,[status(thm)],[eq_38,eq_29]) ).
cnf(eq_43,plain,
inverse(A) = multiply(double_divide(B,A),B),
inference(rw,[status(thm)],[eq_39,eq_29]) ).
cnf(eq_44,negated_conjecture,
inverse(double_divide(inverse(double_divide(b3,a3)),c3)) != inverse(double_divide(a3,inverse(double_divide(c3,b3)))),
inference(cp,[status(thm)],[eq_34,eq_36]) ).
cnf(eq_45,negated_conjecture,
inverse(double_divide(inverse(double_divide(a3,b3)),c3)) != inverse(double_divide(a3,inverse(double_divide(c3,b3)))),
inference(cp,[status(thm)],[eq_41,eq_44]) ).
cnf(eq_46,plain,
inverse(multiply(A,B)) = inverse(multiply(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_37]),eq_37]) ).
cnf(eq_47,plain,
A = multiply(inverse(multiply(inverse(A),B)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_37]),eq_37]),eq_29]) ).
cnf(eq_48,plain,
inverse(A) = multiply(inverse(multiply(A,B)),B),
inference(rw,[status(thm)],[eq_43,eq_37]) ).
cnf(eq_49,negated_conjecture,
multiply(multiply(b3,c3),a3) != multiply(c3,multiply(b3,a3)),
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_45,eq_37]),eq_29]),eq_37]),eq_29]),eq_37]),eq_29]),eq_37]),eq_29]) ).
cnf(eq_50,plain,
inverse(inverse(multiply(B,A))) = multiply(A,B),
inference(cp,[status(thm)],[eq_46,eq_29]) ).
cnf(eq_51,plain,
multiply(x100,A) = inverse(multiply(inverse(A),inverse(x100))),
inference(cp,[status(thm)],[eq_47,eq_42]) ).
cnf(eq_52,plain,
multiply(inverse(A),multiply(x101,A)) = x101,
inference(cp,[status(thm)],[eq_29,eq_42]) ).
cnf(eq_53,plain,
multiply(inverse(A),multiply(A,inverse(inverse(x100)))) = x100,
inference(cp,[status(thm)],[eq_42,eq_47]) ).
cnf(eq_54,plain,
inverse(multiply(inverse(A),inverse(B))) = multiply(B,A),
eq_51 ).
cnf(eq_55,plain,
multiply(A,B) = multiply(B,A),
inference(rw,[status(thm)],[eq_50,eq_29]) ).
cnf(eq_56,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(rw,[status(thm)],[eq_53,eq_29]) ).
cnf(eq_57,plain,
A = multiply(inverse(B),multiply(A,B)),
eq_52 ).
cnf(eq_58,plain,
multiply(inverse(B),inverse(A)) = inverse(multiply(A,B)),
inference(cp,[status(thm)],[eq_48,eq_57]) ).
cnf(eq_59,plain,
inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)),
eq_58 ).
cnf(eq_60,negated_conjecture,
multiply(multiply(c3,b3),a3) != multiply(c3,multiply(b3,a3)),
inference(cp,[status(thm)],[eq_55,eq_49]) ).
cnf(eq_61,plain,
multiply(multiply(B,A),multiply(multiply(inverse(A),inverse(B)),x101)) = x101,
inference(cp,[status(thm)],[eq_54,eq_56]) ).
cnf(eq_62,plain,
A = multiply(multiply(B,C),multiply(multiply(inverse(C),inverse(B)),A)),
eq_61 ).
cnf(eq_63,plain,
double_divide(B,A) = multiply(inverse(B),inverse(A)),
inference(rw,[status(thm)],[eq_37,eq_59]) ).
cnf(eq_64,plain,
A = multiply(multiply(B,inverse(C)),multiply(C,multiply(inverse(B),A))),
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)],[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_14,eq_63]),eq_29]),eq_29]),eq_63]),eq_59]),eq_29]),eq_29]),eq_59]),eq_29]),eq_63]),eq_59]),eq_29]),eq_63]),eq_59]),eq_59]),eq_29]),eq_29]),eq_59]),eq_29]) ).
cnf(eq_65,plain,
multiply(multiply(C,x101),A) = multiply(C,multiply(inverse(inverse(x101)),A)),
inference(cp,[status(thm)],[eq_64,eq_62]) ).
cnf(eq_66,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
inference(rw,[status(thm)],[eq_65,eq_29]) ).
cnf(eq_67,negated_conjecture,
multiply(c3,multiply(b3,a3)) != multiply(c3,multiply(b3,a3)),
inference(rw,[status(thm)],[eq_60,eq_66]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP615-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.11 % Command : run_maedmax %d %s
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Jul 26 04:31:33 EDT 2022
% 0.11/0.32 % CPUTime :
% 6.09/6.33 % SZS status Unsatisfiable
% 6.09/6.33 % SZS output start CNFRefutation for /tmp/MaedMax_21035
% See solution above
% 6.09/6.33
%------------------------------------------------------------------------------