TSTP Solution File: GRP544-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP544-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 07:02:54 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 7 RR)
% Number of literals : 21 ( 20 equ; 4 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 : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(divide(identity,divide(divide(divide(B,A),C),B)),C),
file('/tmp/MaedMax_26935') ).
cnf(eq_1,axiom,
divide(A,divide(identity,B)) = multiply(A,B),
file('/tmp/MaedMax_26935') ).
cnf(eq_2,axiom,
divide(identity,A) = inverse(A),
file('/tmp/MaedMax_26935') ).
cnf(eq_3,axiom,
identity = divide(A,A),
file('/tmp/MaedMax_26935') ).
cnf(eq_4,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/tmp/MaedMax_26935') ).
cnf(eq_5,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(rw,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_6,plain,
divide(divide(identity,divide(identity,x100)),divide(x100,x101)) = x101,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_7,plain,
divide(divide(identity,divide(divide(identity,x102),A)),x102) = A,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_8,plain,
A = divide(divide(identity,divide(divide(identity,B),A)),B),
eq_7 ).
cnf(eq_9,plain,
A = divide(divide(identity,divide(identity,B)),divide(B,A)),
eq_6 ).
cnf(eq_10,plain,
divide(divide(identity,identity),divide(identity,x101)) = x101,
inference(cp,[status(thm)],[eq_3,eq_9]) ).
cnf(eq_11,plain,
divide(divide(identity,A),divide(identity,B)) = divide(B,A),
inference(cp,[status(thm)],[eq_9,eq_8]) ).
cnf(eq_12,plain,
A = divide(identity,divide(identity,A)),
inference(rw,[status(thm)],[eq_10,eq_3]) ).
cnf(eq_13,plain,
divide(A,B) = divide(divide(identity,B),divide(identity,A)),
eq_11 ).
cnf(eq_14,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_2]),eq_2]) ).
cnf(eq_15,plain,
divide(A,B) = divide(inverse(B),inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_2]),eq_2]) ).
cnf(eq_16,negated_conjecture,
divide(a,inverse(b)) != divide(b,inverse(a)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_5]),eq_5]) ).
cnf(eq_17,plain,
divide(A,B) = multiply(inverse(B),A),
inference(rw,[status(thm)],[eq_15,eq_5]) ).
cnf(eq_18,negated_conjecture,
multiply(inverse(inverse(b)),a) != divide(b,inverse(a)),
inference(cp,[status(thm)],[eq_17,eq_16]) ).
cnf(eq_19,negated_conjecture,
multiply(b,a) != multiply(b,a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_14]),eq_5]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP544-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 04:07:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.51 % SZS status Unsatisfiable
% 0.19/0.51 % SZS output start CNFRefutation for /tmp/MaedMax_26935
% See solution above
% 0.19/0.51
%------------------------------------------------------------------------------