TSTP Solution File: GRP528-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP528-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n022.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 07:02:52 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of clauses : 32 ( 32 unt; 0 nHn; 3 RR)
% Number of literals : 32 ( 31 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(B,divide(divide(B,C),divide(A,C))),
file('/tmp/MaedMax_22158') ).
cnf(eq_1,axiom,
divide(A,divide(divide(B,B),C)) = multiply(A,C),
file('/tmp/MaedMax_22158') ).
cnf(eq_2,axiom,
divide(divide(A,A),B) = inverse(B),
file('/tmp/MaedMax_22158') ).
cnf(eq_3,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/tmp/MaedMax_22158') ).
cnf(eq_4,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(rw,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_5,plain,
divide(A,inverse(divide(x102,A))) = x102,
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_6,plain,
divide(x100,divide(divide(x100,B),inverse(B))) = divide(A,A),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_7,plain,
A = inverse(divide(divide(divide(x100,x100),C),divide(A,C))),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_8,plain,
divide(inverse(divide(A,A)),x101) = inverse(x101),
inference(cp,[status(thm)],[eq_2,eq_2]) ).
cnf(eq_9,plain,
A = inverse(divide(inverse(B),divide(A,B))),
inference(rw,[status(thm)],[eq_7,eq_2]) ).
cnf(eq_10,plain,
divide(inverse(divide(A,A)),B) = inverse(B),
eq_8 ).
cnf(eq_11,plain,
divide(A,A) = divide(B,divide(divide(B,C),inverse(C))),
eq_6 ).
cnf(eq_12,plain,
A = divide(B,inverse(divide(A,B))),
eq_5 ).
cnf(eq_13,plain,
A = multiply(B,divide(A,B)),
inference(cp,[status(thm)],[eq_12,eq_4]) ).
cnf(eq_14,plain,
divide(A,A) = divide(x102,x102),
inference(cp,[status(thm)],[eq_11,eq_11]) ).
cnf(eq_15,plain,
divide(divide(A,B),A) = inverse(B),
inference(cp,[status(thm)],[eq_9,eq_12]) ).
cnf(eq_16,plain,
divide(A,A) = divide(B,B),
eq_14 ).
cnf(eq_17,plain,
divide(divide(x102,B),inverse(B)) = x102,
inference(cp,[status(thm)],[eq_15,eq_0]) ).
cnf(eq_18,plain,
divide(x100,divide(B,B)) = x100,
inference(cp,[status(thm)],[eq_16,eq_0]) ).
cnf(eq_19,plain,
multiply(A,inverse(B)) = divide(A,B),
inference(cp,[status(thm)],[eq_15,eq_13]) ).
cnf(eq_20,plain,
A = multiply(divide(A,B),B),
inference(rw,[status(thm)],[eq_17,eq_4]) ).
cnf(eq_21,plain,
A = divide(A,divide(B,B)),
eq_18 ).
cnf(eq_22,plain,
divide(A,B) = multiply(A,inverse(B)),
eq_19 ).
cnf(eq_23,plain,
A = divide(divide(A,B),inverse(B)),
inference(rw,[status(thm)],[eq_20,eq_4]) ).
cnf(eq_24,plain,
inverse(divide(inverse(divide(B,B)),A)) = A,
inference(cp,[status(thm)],[eq_21,eq_9]) ).
cnf(eq_25,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_24,eq_10]) ).
cnf(eq_26,plain,
A = multiply(B,multiply(A,inverse(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_22]),eq_22]),eq_25]) ).
cnf(eq_27,plain,
A = multiply(multiply(A,inverse(B)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_23,eq_22]),eq_22]),eq_25]) ).
cnf(eq_28,plain,
multiply(x100,A) = multiply(A,inverse(inverse(x100))),
inference(cp,[status(thm)],[eq_27,eq_26]) ).
cnf(eq_29,plain,
multiply(A,B) = multiply(B,A),
inference(rw,[status(thm)],[eq_28,eq_25]) ).
cnf(eq_30,negated_conjecture,
multiply(a,b) != multiply(a,b),
inference(cp,[status(thm)],[eq_29,eq_3]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP528-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.06/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n022.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 04:24:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.56 % SZS status Unsatisfiable
% 0.20/0.56 % SZS output start CNFRefutation for /tmp/MaedMax_22158
% See solution above
% 0.20/0.56
%------------------------------------------------------------------------------