%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n021.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 06:57:41 EDT 2022
% Result : Unsatisfiable 0.43s 0.60s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 3 RR)
% Number of literals : 13 ( 12 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 24 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
multiply(V,W,multiply(X,Y,Z)) = multiply(multiply(V,W,X),Y,multiply(V,W,Z)),
file('/tmp/MaedMax_12162') ).
cnf(eq_1,axiom,
V = multiply(W,V,V),
file('/tmp/MaedMax_12162') ).
cnf(eq_2,axiom,
V = multiply(V,W,inverse(W)),
file('/tmp/MaedMax_12162') ).
cnf(eq_3,negated_conjecture,
inverse(inverse(a)) != a,
file('/tmp/MaedMax_12162') ).
cnf(eq_4,plain,
multiply(multiply(V,W,x102),x103,V) = multiply(V,W,multiply(x102,x103,inverse(W))),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_5,plain,
multiply(V,W,multiply(X,Y,inverse(W))) = multiply(multiply(V,W,X),Y,V),
eq_4 ).
cnf(eq_6,plain,
multiply(x100,x101,inverse(x101)) = multiply(multiply(x100,x101,W),inverse(x101),x100),
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_7,plain,
V = multiply(multiply(V,W,X),inverse(W),V),
inference(rw,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_8,plain,
multiply(V,inverse(V),W) = W,
inference(cp,[status(thm)],[eq_1,eq_7]) ).
cnf(eq_9,plain,
V = multiply(W,inverse(W),V),
eq_8 ).
cnf(eq_10,plain,
V = inverse(inverse(V)),
inference(cp,[status(thm)],[eq_2,eq_9]) ).
cnf(eq_11,negated_conjecture,
a != a,
inference(rw,[status(thm)],[eq_3,eq_10]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n021.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 03:20:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/0.60 % SZS status Unsatisfiable
% 0.43/0.60 % SZS output start CNFRefutation for /tmp/MaedMax_12162
% See solution above
% 0.43/0.60
%------------------------------------------------------------------------------