TSTP Solution File: GRP587-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP587-1 : 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 07:02:57 EDT 2022
% Result : Unsatisfiable 1.64s 1.82s
% Output : CNFRefutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of clauses : 59 ( 59 unt; 0 nHn; 12 RR)
% Number of literals : 59 ( 58 equ; 11 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 118 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(B,inverse(double_divide(inverse(double_divide(double_divide(B,C),inverse(A))),C))),
file('/tmp/MaedMax_21490') ).
cnf(eq_1,axiom,
inverse(double_divide(A,B)) = multiply(B,A),
file('/tmp/MaedMax_21490') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_21490') ).
cnf(eq_3,plain,
A = double_divide(B,multiply(C,multiply(inverse(A),double_divide(B,C)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_1]),eq_1]) ).
cnf(eq_4,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_5,plain,
double_divide(x100,inverse(double_divide(inverse(A),x101))) = double_divide(inverse(double_divide(double_divide(double_divide(x100,x101),C),inverse(A))),C),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
double_divide(B,inverse(double_divide(inverse(double_divide(A,inverse(x102))),inverse(double_divide(inverse(double_divide(double_divide(B,C),inverse(A))),C))))) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_7,plain,
double_divide(A,inverse(double_divide(inverse(B),C))) = double_divide(inverse(double_divide(double_divide(double_divide(A,C),x3),inverse(B))),x3),
eq_5 ).
cnf(eq_8,plain,
A = double_divide(B,inverse(double_divide(inverse(double_divide(C,inverse(A))),inverse(double_divide(inverse(double_divide(double_divide(B,x3),inverse(C))),x3))))),
eq_6 ).
cnf(eq_9,plain,
double_divide(x100,multiply(x101,multiply(multiply(B,A),double_divide(x100,x101)))) = double_divide(A,B),
inference(cp,[status(thm)],[eq_1,eq_3]) ).
cnf(eq_10,plain,
double_divide(A,B) = double_divide(C,multiply(x3,multiply(multiply(B,A),double_divide(C,x3)))),
eq_9 ).
cnf(eq_11,plain,
double_divide(inverse(double_divide(A,inverse(x102))),inverse(A)) = x102,
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_12,plain,
double_divide(double_divide(A,C),inverse(double_divide(A,inverse(double_divide(inverse(B),C))))) = B,
inference(cp,[status(thm)],[eq_7,eq_0]) ).
cnf(eq_13,plain,
double_divide(inverse(double_divide(double_divide(double_divide(A,C),x3),inverse(B))),inverse(double_divide(inverse(double_divide(double_divide(A,inverse(double_divide(inverse(B),C))),inverse(x102))),x3))) = x102,
inference(cp,[status(thm)],[eq_7,eq_0]) ).
cnf(eq_14,plain,
A = double_divide(inverse(double_divide(double_divide(double_divide(B,C),x3),inverse(x4))),inverse(double_divide(inverse(double_divide(double_divide(B,inverse(double_divide(inverse(x4),C))),inverse(A))),x3))),
eq_13 ).
cnf(eq_15,plain,
A = double_divide(double_divide(B,C),inverse(double_divide(B,inverse(double_divide(inverse(A),C))))),
eq_12 ).
cnf(eq_16,plain,
A = double_divide(inverse(double_divide(B,inverse(A))),inverse(B)),
eq_11 ).
cnf(eq_17,plain,
A = double_divide(multiply(inverse(A),B),inverse(B)),
inference(rw,[status(thm)],[eq_16,eq_1]) ).
cnf(eq_18,plain,
inverse(A) = multiply(inverse(B),multiply(inverse(A),B)),
inference(cp,[status(thm)],[eq_17,eq_1]) ).
cnf(eq_19,plain,
double_divide(multiply(multiply(B,A),x101),inverse(x101)) = double_divide(A,B),
inference(cp,[status(thm)],[eq_1,eq_17]) ).
cnf(eq_20,plain,
double_divide(A,B) = double_divide(multiply(multiply(B,A),C),inverse(C)),
eq_19 ).
cnf(eq_21,negated_conjecture,
inverse(double_divide(C,multiply(x3,multiply(multiply(a3,inverse(double_divide(c3,b3))),double_divide(C,x3))))) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
inference(cp,[status(thm)],[eq_10,eq_4]) ).
cnf(eq_22,negated_conjecture,
multiply(multiply(A,multiply(multiply(a3,multiply(b3,c3)),double_divide(B,A))),B) != multiply(multiply(a3,b3),c3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_23,plain,
double_divide(double_divide(double_divide(inverse(double_divide(x101,inverse(x102))),C),C),inverse(x101)) = x102,
inference(cp,[status(thm)],[eq_15,eq_8]) ).
cnf(eq_24,plain,
double_divide(inverse(A),inverse(inverse(double_divide(B,inverse(A))))) = B,
inference(cp,[status(thm)],[eq_16,eq_16]) ).
cnf(eq_25,plain,
double_divide(inverse(A),inverse(B)) = double_divide(inverse(double_divide(double_divide(B,C),inverse(A))),C),
inference(cp,[status(thm)],[eq_0,eq_16]) ).
cnf(eq_26,plain,
double_divide(inverse(double_divide(double_divide(double_divide(x100,x101),inverse(double_divide(x100,inverse(double_divide(inverse(x103),x101))))),inverse(x103))),inverse(A)) = A,
inference(cp,[status(thm)],[eq_16,eq_14]) ).
cnf(eq_27,plain,
A = double_divide(double_divide(double_divide(inverse(double_divide(B,inverse(A))),C),C),inverse(B)),
eq_23 ).
cnf(eq_28,plain,
A = double_divide(inverse(double_divide(B,inverse(B))),inverse(A)),
inference(rw,[status(thm)],[eq_26,eq_15]) ).
cnf(eq_29,plain,
A = double_divide(inverse(B),inverse(inverse(double_divide(A,inverse(B))))),
eq_24 ).
cnf(eq_30,plain,
inverse(double_divide(A,B)) = multiply(inverse(C),multiply(multiply(B,A),C)),
inference(cp,[status(thm)],[eq_20,eq_1]) ).
cnf(eq_31,plain,
multiply(A,B) = multiply(inverse(C),multiply(multiply(A,B),C)),
inference(rw,[status(thm)],[eq_30,eq_1]) ).
cnf(eq_32,negated_conjecture,
multiply(multiply(B,multiply(multiply(a3,multiply(b3,c3)),double_divide(C,multiply(x3,multiply(multiply(B,A),double_divide(C,x3)))))),A) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_10,eq_22]) ).
cnf(eq_33,negated_conjecture,
multiply(multiply(A,multiply(multiply(a3,multiply(b3,c3)),double_divide(B,multiply(C,multiply(multiply(A,x3),double_divide(B,C)))))),x3) != multiply(multiply(a3,b3),c3),
eq_32 ).
cnf(eq_34,plain,
A = double_divide(B,inverse(double_divide(inverse(A),inverse(B)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_3,eq_1]),eq_1]),eq_25]) ).
cnf(eq_35,negated_conjecture,
inverse(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(B,inverse(double_divide(inverse(double_divide(A,C)),inverse(B)))),inverse(double_divide(inverse(double_divide(c3,b3)),a3)))),C)))) != 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)],[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_33,eq_1]),eq_1]),eq_1]),eq_1]),eq_1]),eq_25]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_36,plain,
double_divide(double_divide(A,inverse(B)),inverse(B)) = A,
inference(cp,[status(thm)],[eq_16,eq_27]) ).
cnf(eq_37,plain,
A = inverse(double_divide(A,inverse(double_divide(x100,inverse(x100))))),
inference(cp,[status(thm)],[eq_29,eq_28]) ).
cnf(eq_38,plain,
A = inverse(double_divide(A,inverse(double_divide(B,inverse(B))))),
eq_37 ).
cnf(eq_39,plain,
A = multiply(multiply(inverse(B),B),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_38,eq_1]),eq_1]) ).
cnf(eq_40,plain,
double_divide(A,inverse(B)) = multiply(inverse(A),B),
inference(cp,[status(thm)],[eq_17,eq_36]) ).
cnf(eq_41,plain,
double_divide(double_divide(x100,inverse(double_divide(A,inverse(double_divide(B,inverse(B)))))),A) = x100,
inference(cp,[status(thm)],[eq_38,eq_36]) ).
cnf(eq_42,plain,
double_divide(A,inverse(inverse(double_divide(x101,inverse(double_divide(A,inverse(double_divide(B,inverse(B))))))))) = x101,
inference(cp,[status(thm)],[eq_38,eq_29]) ).
cnf(eq_43,plain,
A = double_divide(B,inverse(inverse(double_divide(A,B)))),
inference(rw,[status(thm)],[eq_42,eq_38]) ).
cnf(eq_44,plain,
A = double_divide(double_divide(A,B),B),
inference(rw,[status(thm)],[eq_41,eq_38]) ).
cnf(eq_45,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_43,eq_1]),eq_40]) ).
cnf(eq_46,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_40]),eq_40]),eq_18]) ).
cnf(eq_47,negated_conjecture,
multiply(multiply(A,multiply(multiply(a3,multiply(b3,c3)),inverse(multiply(A,B)))),B) != multiply(multiply(a3,b3),c3),
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_35,eq_1]),eq_1]),eq_40]),eq_1]),eq_40]),eq_18]),eq_1]),eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_48,plain,
inverse(A) = multiply(B,double_divide(A,B)),
inference(cp,[status(thm)],[eq_44,eq_1]) ).
cnf(eq_49,plain,
multiply(inverse(x100),multiply(A,x100)) = multiply(multiply(inverse(B),B),A),
inference(cp,[status(thm)],[eq_39,eq_31]) ).
cnf(eq_50,plain,
A = multiply(inverse(B),multiply(A,B)),
inference(rw,[status(thm)],[eq_49,eq_39]) ).
cnf(eq_51,plain,
multiply(inverse(double_divide(A,B)),inverse(A)) = B,
inference(cp,[status(thm)],[eq_48,eq_50]) ).
cnf(eq_52,plain,
multiply(inverse(inverse(B)),A) = multiply(A,B),
inference(cp,[status(thm)],[eq_50,eq_45]) ).
cnf(eq_53,plain,
multiply(A,B) = multiply(B,A),
inference(rw,[status(thm)],[eq_52,eq_46]) ).
cnf(eq_54,plain,
A = multiply(multiply(A,B),inverse(B)),
inference(rw,[status(thm)],[eq_51,eq_1]) ).
cnf(eq_55,negated_conjecture,
multiply(multiply(b3,a3),c3) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_54,eq_47]) ).
cnf(eq_56,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(multiply(b3,a3),c3),
eq_55 ).
cnf(eq_57,negated_conjecture,
multiply(multiply(b3,a3),c3) != multiply(multiply(b3,a3),c3),
inference(cp,[status(thm)],[eq_53,eq_56]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP587-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : run_maedmax %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Jul 26 04:17:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.64/1.82 % SZS status Unsatisfiable
% 1.64/1.82 % SZS output start CNFRefutation for /tmp/MaedMax_21490
% See solution above
% 1.65/1.83
%------------------------------------------------------------------------------