TSTP Solution File: GRP607-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP607-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n027.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 0.90s 1.10s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of clauses : 60 ( 60 unt; 0 nHn; 8 RR)
% Number of literals : 60 ( 59 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 : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 111 ( 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_21618') ).
cnf(eq_1,axiom,
inverse(double_divide(A,B)) = multiply(B,A),
file('/tmp/MaedMax_21618') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_21618') ).
cnf(eq_3,plain,
A = double_divide(multiply(multiply(double_divide(B,C),inverse(A)),B),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,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,
inverse(A) = multiply(C,multiply(multiply(double_divide(B,C),inverse(A)),B)),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_9,plain,
inverse(A) = multiply(B,multiply(multiply(double_divide(C,B),inverse(A)),C)),
eq_8 ).
cnf(eq_10,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_11,plain,
double_divide(inverse(A),inverse(double_divide(inverse(x103),A))) = x103,
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_12,plain,
A = double_divide(inverse(double_divide(inverse(double_divide(B,inverse(A))),C)),double_divide(B,C)),
eq_10 ).
cnf(eq_13,plain,
A = double_divide(inverse(B),inverse(double_divide(inverse(A),B))),
eq_11 ).
cnf(eq_14,plain,
A = double_divide(inverse(B),multiply(B,inverse(A))),
inference(rw,[status(thm)],[eq_13,eq_1]) ).
cnf(eq_15,plain,
double_divide(inverse(inverse(double_divide(inverse(A),B))),inverse(A)) = B,
inference(cp,[status(thm)],[eq_13,eq_13]) ).
cnf(eq_16,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_13]) ).
cnf(eq_17,plain,
double_divide(inverse(A),double_divide(inverse(double_divide(B,inverse(A))),double_divide(B,inverse(x101)))) = x101,
inference(cp,[status(thm)],[eq_12,eq_12]) ).
cnf(eq_18,plain,
double_divide(inverse(A),double_divide(x100,inverse(double_divide(inverse(A),double_divide(x100,inverse(x101)))))) = x101,
inference(cp,[status(thm)],[eq_13,eq_12]) ).
cnf(eq_19,plain,
double_divide(inverse(x101),double_divide(B,double_divide(B,inverse(double_divide(inverse(x103),x101))))) = x103,
inference(cp,[status(thm)],[eq_12,eq_6]) ).
cnf(eq_20,plain,
A = double_divide(inverse(B),double_divide(C,inverse(double_divide(inverse(B),double_divide(C,inverse(A)))))),
eq_18 ).
cnf(eq_21,plain,
A = double_divide(inverse(B),double_divide(inverse(double_divide(C,inverse(B))),double_divide(C,inverse(A)))),
eq_17 ).
cnf(eq_22,plain,
A = double_divide(inverse(B),double_divide(C,double_divide(C,inverse(double_divide(inverse(A),B))))),
eq_19 ).
cnf(eq_23,plain,
A = double_divide(inverse(inverse(double_divide(inverse(B),A))),inverse(B)),
eq_15 ).
cnf(eq_24,plain,
double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C)))) = double_divide(inverse(C),inverse(B)),
eq_16 ).
cnf(eq_25,plain,
inverse(A) = multiply(multiply(B,inverse(A)),inverse(B)),
inference(cp,[status(thm)],[eq_14,eq_1]) ).
cnf(eq_26,plain,
inverse(A) = inverse(double_divide(inverse(double_divide(inverse(B),inverse(A))),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_1]),eq_1]),eq_24]),eq_1]) ).
cnf(eq_27,plain,
double_divide(inverse(B),double_divide(inverse(B),A)) = A,
inference(cp,[status(thm)],[eq_13,eq_22]) ).
cnf(eq_28,plain,
double_divide(inverse(inverse(A)),inverse(B)) = inverse(double_divide(inverse(A),B)),
inference(cp,[status(thm)],[eq_13,eq_23]) ).
cnf(eq_29,plain,
A = double_divide(inverse(B),double_divide(inverse(inverse(A)),inverse(B))),
inference(rw,[status(thm)],[eq_20,eq_24]) ).
cnf(eq_30,plain,
inverse(double_divide(inverse(A),B)) = double_divide(inverse(inverse(A)),inverse(B)),
eq_28 ).
cnf(eq_31,plain,
inverse(A) = inverse(double_divide(double_divide(inverse(inverse(B)),inverse(inverse(A))),B)),
inference(rw,[status(thm)],[eq_26,eq_30]) ).
cnf(eq_32,plain,
A = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_29,eq_27]) ).
cnf(eq_33,plain,
double_divide(inverse(x100),A) = double_divide(inverse(inverse(A)),inverse(x100)),
inference(cp,[status(thm)],[eq_29,eq_21]) ).
cnf(eq_34,plain,
double_divide(inverse(A),B) = double_divide(inverse(inverse(B)),inverse(A)),
eq_33 ).
cnf(eq_35,plain,
double_divide(A,inverse(x101)) = double_divide(inverse(x101),A),
inference(cp,[status(thm)],[eq_32,eq_34]) ).
cnf(eq_36,plain,
double_divide(A,inverse(B)) = double_divide(inverse(B),A),
eq_35 ).
cnf(eq_37,plain,
double_divide(x100,A) = double_divide(inverse(inverse(A)),x100),
inference(cp,[status(thm)],[eq_32,eq_36]) ).
cnf(eq_38,plain,
double_divide(A,B) = double_divide(B,A),
inference(rw,[status(thm)],[eq_37,eq_32]) ).
cnf(eq_39,plain,
inverse(multiply(B,A)) = double_divide(A,B),
inference(cp,[status(thm)],[eq_1,eq_32]) ).
cnf(eq_40,plain,
inverse(double_divide(B,A)) = multiply(B,A),
inference(cp,[status(thm)],[eq_38,eq_1]) ).
cnf(eq_41,plain,
multiply(multiply(x100,A),inverse(x100)) = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_32,eq_25]) ).
cnf(eq_42,plain,
A = multiply(multiply(B,A),inverse(B)),
inference(rw,[status(thm)],[eq_41,eq_32]) ).
cnf(eq_43,plain,
inverse(multiply(A,B)) = double_divide(B,A),
eq_39 ).
cnf(eq_44,plain,
multiply(A,B) = multiply(B,A),
inference(rw,[status(thm)],[eq_40,eq_1]) ).
cnf(eq_45,plain,
inverse(A) = multiply(B,inverse(multiply(A,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_32]),eq_32]),eq_43]),eq_43]),eq_32]) ).
cnf(eq_46,negated_conjecture,
multiply(multiply(b3,c3),a3) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_44,eq_2]) ).
cnf(eq_47,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(multiply(b3,c3),a3),
eq_46 ).
cnf(eq_48,plain,
multiply(inverse(A),inverse(B)) = inverse(multiply(A,B)),
inference(cp,[status(thm)],[eq_45,eq_25]) ).
cnf(eq_49,plain,
multiply(multiply(A,B),inverse(B)) = A,
inference(cp,[status(thm)],[eq_44,eq_42]) ).
cnf(eq_50,plain,
inverse(multiply(A,B)) = multiply(inverse(A),inverse(B)),
eq_48 ).
cnf(eq_51,negated_conjecture,
multiply(multiply(b3,a3),c3) != multiply(multiply(b3,c3),a3),
inference(cp,[status(thm)],[eq_44,eq_47]) ).
cnf(eq_52,negated_conjecture,
multiply(c3,multiply(b3,a3)) != multiply(multiply(b3,c3),a3),
inference(cp,[status(thm)],[eq_44,eq_51]) ).
cnf(eq_53,negated_conjecture,
multiply(multiply(b3,c3),a3) != multiply(c3,multiply(b3,a3)),
eq_52 ).
cnf(eq_54,plain,
double_divide(B,A) = multiply(inverse(A),inverse(B)),
inference(rw,[status(thm)],[eq_43,eq_50]) ).
cnf(eq_55,plain,
multiply(A,B) = multiply(multiply(multiply(B,C),A),inverse(C)),
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_24,eq_54]),eq_54]),eq_50]),eq_32]),eq_32]),eq_32]),eq_50]),eq_50]),eq_54]),eq_50]),eq_50]),eq_32]),eq_32]),eq_32]),eq_54]),eq_32]),eq_32]) ).
cnf(eq_56,plain,
multiply(multiply(A,x102),inverse(inverse(B))) = multiply(x102,multiply(A,B)),
inference(cp,[status(thm)],[eq_49,eq_55]) ).
cnf(eq_57,plain,
multiply(A,multiply(B,C)) = multiply(multiply(B,A),C),
inference(rw,[status(thm)],[eq_56,eq_32]) ).
cnf(eq_58,negated_conjecture,
multiply(c3,multiply(b3,a3)) != multiply(c3,multiply(b3,a3)),
inference(rw,[status(thm)],[eq_53,eq_57]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP607-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 04:36:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.90/1.10 % SZS status Unsatisfiable
% 0.90/1.10 % SZS output start CNFRefutation for /tmp/MaedMax_21618
% See solution above
% 0.90/1.10
%------------------------------------------------------------------------------