TSTP Solution File: GRP445-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP445-1 : 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 07:02:45 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 8 RR)
% Number of literals : 17 ( 16 equ; 7 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 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_20463') ).
cnf(eq_1,axiom,
divide(A,divide(divide(B,B),C)) = multiply(A,C),
file('/tmp/MaedMax_20463') ).
cnf(eq_2,axiom,
divide(divide(A,A),B) = inverse(B),
file('/tmp/MaedMax_20463') ).
cnf(eq_3,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/tmp/MaedMax_20463') ).
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,
divide(x100,divide(inverse(B),divide(inverse(x100),B))) = divide(A,A),
inference(cp,[status(thm)],[eq_7,eq_5]) ).
cnf(eq_9,plain,
divide(A,A) = divide(B,divide(inverse(C),divide(inverse(B),C))),
eq_8 ).
cnf(eq_10,negated_conjecture,
divide(inverse(a1),inverse(a1)) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_4,eq_3]) ).
cnf(eq_11,negated_conjecture,
divide(B,divide(inverse(C),divide(inverse(B),C))) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_9,eq_10]) ).
cnf(eq_12,negated_conjecture,
divide(A,divide(inverse(B),divide(inverse(A),B))) != multiply(inverse(b1),b1),
eq_11 ).
cnf(eq_13,negated_conjecture,
divide(A,divide(inverse(B),divide(inverse(A),B))) != divide(inverse(b1),inverse(b1)),
inference(rw,[status(thm)],[eq_12,eq_4]) ).
cnf(eq_14,negated_conjecture,
divide(A,A) != divide(inverse(b1),inverse(b1)),
inference(cp,[status(thm)],[eq_9,eq_13]) ).
cnf(eq_15,negated_conjecture,
divide(A,A) != divide(A,A),
eq_14 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP445-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : run_maedmax %d %s
% 0.14/0.33 % Computer : n027.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Jul 26 04:25:50 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.20/0.53 % SZS status Unsatisfiable
% 0.20/0.53 % SZS output start CNFRefutation for /tmp/MaedMax_20463
% See solution above
% 0.20/0.53
%------------------------------------------------------------------------------