%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : ALG235-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n008.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 06:56:10 EDT 2022
% Result : Unsatisfiable 1.32s 1.53s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 6 RR)
% Number of literals : 10 ( 9 equ; 5 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; 6 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
mult(A,B) = mult(A,mult(B,mult(A,B))),
file('/tmp/MaedMax_7862') ).
cnf(eq_1,axiom,
mult(A,mult(B,mult(C,D))) = mult(C,mult(B,mult(A,D))),
file('/tmp/MaedMax_7862') ).
cnf(eq_2,negated_conjecture,
mult(a,mult(b,mult(a,mult(c,mult(d,c))))) != mult(a,mult(b,mult(d,c))),
file('/tmp/MaedMax_7862') ).
cnf(eq_3,plain,
mult(x100,mult(x101,mult(A,B))) = mult(A,mult(x101,mult(x100,mult(B,mult(A,B))))),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_4,plain,
mult(A,mult(B,mult(C,D))) = mult(C,mult(B,mult(A,mult(D,mult(C,D))))),
eq_3 ).
cnf(eq_5,negated_conjecture,
mult(d,mult(b,mult(a,c))) != mult(a,mult(b,mult(a,mult(c,mult(d,c))))),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_6,negated_conjecture,
mult(a,mult(b,mult(a,mult(c,mult(d,c))))) != mult(d,mult(b,mult(a,c))),
eq_5 ).
cnf(eq_7,negated_conjecture,
mult(a,mult(b,mult(d,mult(c,mult(a,c))))) != mult(d,mult(b,mult(a,c))),
inference(cp,[status(thm)],[eq_1,eq_6]) ).
cnf(eq_8,negated_conjecture,
mult(a,mult(b,mult(d,mult(c,mult(a,c))))) != mult(a,mult(b,mult(d,mult(c,mult(a,c))))),
inference(cp,[status(thm)],[eq_4,eq_7]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG235-1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n008.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 03:56:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.32/1.53 % SZS status Unsatisfiable
% 1.32/1.53 % SZS output start CNFRefutation for /tmp/MaedMax_7862
% See solution above
% 1.32/1.53
%------------------------------------------------------------------------------