TSTP Solution File: GRP447-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP447-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n011.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 07:02:45 EDT 2022
% Result : Unsatisfiable 1.40s 1.62s
% Output : CNFRefutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 4
% Syntax : Number of clauses : 55 ( 55 unt; 0 nHn; 6 RR)
% Number of literals : 55 ( 54 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(B,divide(divide(divide(divide(B,B),A),C),divide(divide(divide(B,B),B),C))),
file('/tmp/MaedMax_27741') ).
cnf(eq_1,axiom,
divide(A,divide(divide(B,B),C)) = multiply(A,C),
file('/tmp/MaedMax_27741') ).
cnf(eq_2,axiom,
divide(divide(A,A),B) = inverse(B),
file('/tmp/MaedMax_27741') ).
cnf(eq_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_27741') ).
cnf(eq_4,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(rw,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_5,plain,
A = divide(B,divide(divide(inverse(A),C),divide(inverse(B),C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_2]),eq_2]) ).
cnf(eq_6,plain,
divide(inverse(divide(A,A)),x101) = inverse(x101),
inference(cp,[status(thm)],[eq_2,eq_2]) ).
cnf(eq_7,plain,
divide(inverse(divide(A,A)),B) = inverse(B),
eq_6 ).
cnf(eq_8,plain,
A = multiply(B,divide(inverse(B),inverse(A))),
inference(cp,[status(thm)],[eq_5,eq_1]) ).
cnf(eq_9,plain,
divide(x100,inverse(divide(inverse(x100),inverse(x101)))) = x101,
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_10,plain,
divide(x100,divide(inverse(B),divide(inverse(x100),B))) = divide(A,A),
inference(cp,[status(thm)],[eq_7,eq_5]) ).
cnf(eq_11,plain,
divide(divide(A,A),divide(divide(inverse(x101),B),inverse(B))) = x101,
inference(cp,[status(thm)],[eq_7,eq_5]) ).
cnf(eq_12,plain,
A = divide(B,inverse(divide(inverse(B),inverse(A)))),
eq_9 ).
cnf(eq_13,plain,
divide(A,A) = divide(B,divide(inverse(C),divide(inverse(B),C))),
eq_10 ).
cnf(eq_14,plain,
A = inverse(divide(divide(inverse(A),B),inverse(B))),
inference(rw,[status(thm)],[eq_11,eq_2]) ).
cnf(eq_15,plain,
A = multiply(B,multiply(inverse(B),A)),
inference(rw,[status(thm)],[eq_8,eq_4]) ).
cnf(eq_16,plain,
divide(A,A) = divide(x102,x102),
inference(cp,[status(thm)],[eq_13,eq_13]) ).
cnf(eq_17,plain,
divide(A,A) = divide(B,B),
eq_16 ).
cnf(eq_18,plain,
divide(x101,divide(B,B)) = x101,
inference(cp,[status(thm)],[eq_17,eq_5]) ).
cnf(eq_19,plain,
divide(x100,inverse(divide(B,B))) = x100,
inference(cp,[status(thm)],[eq_17,eq_12]) ).
cnf(eq_20,plain,
A = divide(A,divide(B,B)),
eq_18 ).
cnf(eq_21,plain,
A = divide(A,inverse(divide(B,B))),
eq_19 ).
cnf(eq_22,plain,
inverse(divide(inverse(x100),divide(B,B))) = x100,
inference(cp,[status(thm)],[eq_21,eq_14]) ).
cnf(eq_23,plain,
divide(x100,divide(inverse(x101),inverse(x100))) = x101,
inference(cp,[status(thm)],[eq_20,eq_5]) ).
cnf(eq_24,plain,
divide(x100,inverse(inverse(x100))) = divide(x102,x102),
inference(cp,[status(thm)],[eq_20,eq_13]) ).
cnf(eq_25,plain,
divide(A,A) = divide(B,inverse(inverse(B))),
eq_24 ).
cnf(eq_26,plain,
A = divide(B,divide(inverse(A),inverse(B))),
eq_23 ).
cnf(eq_27,plain,
A = inverse(divide(inverse(A),divide(B,B))),
eq_22 ).
cnf(eq_28,plain,
divide(A,A) = multiply(B,inverse(B)),
inference(rw,[status(thm)],[eq_25,eq_4]) ).
cnf(eq_29,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_27,eq_20]) ).
cnf(eq_30,plain,
divide(inverse(A),divide(inverse(x101),A)) = x101,
inference(cp,[status(thm)],[eq_29,eq_26]) ).
cnf(eq_31,plain,
divide(inverse(A),inverse(divide(A,inverse(x101)))) = x101,
inference(cp,[status(thm)],[eq_29,eq_12]) ).
cnf(eq_32,plain,
inverse(divide(divide(A,x101),inverse(x101))) = inverse(A),
inference(cp,[status(thm)],[eq_29,eq_14]) ).
cnf(eq_33,plain,
A = divide(inverse(B),inverse(divide(B,inverse(A)))),
eq_31 ).
cnf(eq_34,plain,
inverse(A) = inverse(divide(divide(A,B),inverse(B))),
eq_32 ).
cnf(eq_35,plain,
A = divide(inverse(B),divide(inverse(A),B)),
eq_30 ).
cnf(eq_36,plain,
divide(inverse(divide(inverse(A),B)),A) = B,
inference(cp,[status(thm)],[eq_35,eq_35]) ).
cnf(eq_37,plain,
A = divide(inverse(divide(inverse(B),A)),B),
eq_36 ).
cnf(eq_38,plain,
inverse(inverse(A)) = divide(divide(A,B),inverse(B)),
inference(cp,[status(thm)],[eq_34,eq_29]) ).
cnf(eq_39,plain,
divide(inverse(A),x100) = inverse(divide(inverse(inverse(x100)),inverse(A))),
inference(cp,[status(thm)],[eq_12,eq_37]) ).
cnf(eq_40,plain,
A = divide(divide(A,B),inverse(B)),
inference(rw,[status(thm)],[eq_38,eq_29]) ).
cnf(eq_41,plain,
divide(inverse(A),B) = inverse(divide(B,inverse(A))),
inference(rw,[status(thm)],[eq_39,eq_29]) ).
cnf(eq_42,plain,
A = multiply(divide(A,B),B),
inference(rw,[status(thm)],[eq_40,eq_4]) ).
cnf(eq_43,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_4]),eq_4]) ).
cnf(eq_44,plain,
divide(x100,A) = multiply(x100,inverse(A)),
inference(cp,[status(thm)],[eq_29,eq_4]) ).
cnf(eq_45,plain,
divide(A,B) = multiply(A,inverse(B)),
eq_44 ).
cnf(eq_46,plain,
multiply(multiply(B,inverse(B)),A) = A,
inference(cp,[status(thm)],[eq_28,eq_42]) ).
cnf(eq_47,plain,
multiply(inverse(A),inverse(B)) = inverse(multiply(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_45]),eq_45]),eq_29]) ).
cnf(eq_48,plain,
A = multiply(B,multiply(multiply(inverse(B),inverse(C)),multiply(C,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)],[eq_0,eq_45]),eq_45]),eq_45]),eq_45]),eq_46]),eq_46]),eq_45]),eq_45]),eq_45]),eq_47]),eq_29]),eq_29]),eq_45]),eq_47]),eq_47]),eq_47]),eq_29]),eq_29]) ).
cnf(eq_49,plain,
multiply(x100,multiply(multiply(inverse(x100),inverse(inverse(B))),A)) = multiply(B,A),
inference(cp,[status(thm)],[eq_43,eq_48]) ).
cnf(eq_50,plain,
multiply(A,B) = multiply(C,multiply(multiply(inverse(C),A),B)),
inference(rw,[status(thm)],[eq_49,eq_29]) ).
cnf(eq_51,plain,
multiply(x100,multiply(A,B)) = multiply(multiply(inverse(inverse(x100)),A),B),
inference(cp,[status(thm)],[eq_50,eq_15]) ).
cnf(eq_52,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
inference(rw,[status(thm)],[eq_51,eq_29]) ).
cnf(eq_53,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_52,eq_3]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP447-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n011.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
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Jul 26 04:17:39 EDT 2022
% 0.12/0.35 % CPUTime :
% 1.40/1.62 % SZS status Unsatisfiable
% 1.40/1.62 % SZS output start CNFRefutation for /tmp/MaedMax_27741
% See solution above
% 1.40/1.62
%------------------------------------------------------------------------------