%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP010-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n016.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 07:01:49 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 7 RR)
% Number of literals : 16 ( 15 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
file('/tmp/MaedMax_22811') ).
cnf(eq_1,axiom,
X = multiply(identity,X),
file('/tmp/MaedMax_22811') ).
cnf(eq_2,axiom,
multiply(inverse(X),X) = identity,
file('/tmp/MaedMax_22811') ).
cnf(eq_3,axiom,
multiply(c,b) = identity,
file('/tmp/MaedMax_22811') ).
cnf(eq_4,negated_conjecture,
multiply(b,c) != identity,
file('/tmp/MaedMax_22811') ).
cnf(eq_5,plain,
multiply(identity,X102) = multiply(c,multiply(b,X102)),
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_6,plain,
multiply(identity,X102) = multiply(inverse(X),multiply(X,X102)),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_7,plain,
X = multiply(c,multiply(b,X)),
inference(rw,[status(thm)],[eq_5,eq_1]) ).
cnf(eq_8,plain,
X = multiply(inverse(Y),multiply(Y,X)),
inference(rw,[status(thm)],[eq_6,eq_1]) ).
cnf(eq_9,plain,
multiply(inverse(X),X) = multiply(c,b),
inference(rw,[status(thm)],[eq_2,eq_3]) ).
cnf(eq_10,negated_conjecture,
multiply(c,b) != multiply(b,c),
inference(rw,[status(thm)],[eq_4,eq_3]) ).
cnf(eq_11,plain,
multiply(inverse(c),X) = multiply(b,X),
inference(cp,[status(thm)],[eq_7,eq_8]) ).
cnf(eq_12,plain,
multiply(c,b) = multiply(b,c),
inference(cp,[status(thm)],[eq_9,eq_11]) ).
cnf(eq_13,plain,
multiply(b,c) = identity,
inference(rw,[status(thm)],[eq_12,eq_3]) ).
cnf(eq_14,negated_conjecture,
identity != identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_3]),eq_13]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP010-4 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n016.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 04:31:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % SZS status Unsatisfiable
% 0.20/0.50 % SZS output start CNFRefutation for /tmp/MaedMax_22811
% See solution above
% 0.20/0.50
%------------------------------------------------------------------------------