%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP118-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n015.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 07:02:01 EDT 2022
% Result : Unsatisfiable 0.69s 0.87s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of clauses : 38 ( 38 unt; 0 nHn; 7 RR)
% Number of literals : 38 ( 37 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = multiply(Y,multiply(multiply(Y,multiply(multiply(Y,X),Z)),multiply(identity,multiply(Z,Z)))),
file('/tmp/MaedMax_15835') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
file('/tmp/MaedMax_15835') ).
cnf(eq_2,plain,
multiply(Y,multiply(X,multiply(identity,multiply(multiply(identity,multiply(Z,Z)),multiply(identity,multiply(Z,Z)))))) = multiply(multiply(Y,X),Z),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
multiply(Y,multiply(multiply(Y,multiply(X,x102)),multiply(identity,multiply(x102,x102)))) = multiply(multiply(Y,multiply(multiply(Y,X),Z)),multiply(identity,multiply(Z,Z))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
multiply(x100,multiply(multiply(x100,multiply(multiply(x100,x101),multiply(identity,multiply(multiply(identity,X),multiply(identity,X))))),X)) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z)))) = multiply(multiply(X,multiply(multiply(X,Y),x3)),multiply(identity,multiply(x3,x3))),
eq_3 ).
cnf(eq_6,plain,
multiply(X,multiply(Y,multiply(identity,multiply(multiply(identity,multiply(Z,Z)),multiply(identity,multiply(Z,Z)))))) = multiply(multiply(X,Y),Z),
eq_2 ).
cnf(eq_7,plain,
X = multiply(Y,multiply(multiply(Y,multiply(multiply(Y,X),multiply(identity,multiply(multiply(identity,Z),multiply(identity,Z))))),Z)),
eq_4 ).
cnf(eq_8,plain,
multiply(x100,multiply(x101,multiply(multiply(identity,multiply(multiply(identity,Z),x3)),multiply(identity,multiply(x3,x3))))) = multiply(multiply(x100,x101),Z),
inference(cp,[status(thm)],[eq_5,eq_6]) ).
cnf(eq_9,plain,
multiply(multiply(X,multiply(X,multiply(multiply(X,x101),multiply(identity,multiply(Z,Z))))),Z) = x101,
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_10,plain,
multiply(X,multiply(X,multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(Z,Z))))) = Y,
inference(cp,[status(thm)],[eq_5,eq_0]) ).
cnf(eq_11,plain,
multiply(Y,multiply(X,x102)) = multiply(multiply(Y,X),multiply(identity,x102)),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_12,plain,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),multiply(identity,Z)),
eq_11 ).
cnf(eq_13,plain,
X = multiply(multiply(Y,multiply(Y,multiply(multiply(Y,X),multiply(identity,multiply(Z,Z))))),Z),
eq_9 ).
cnf(eq_14,plain,
X = multiply(Y,multiply(Y,multiply(multiply(Y,multiply(X,Z)),multiply(identity,multiply(Z,Z))))),
eq_10 ).
cnf(eq_15,plain,
multiply(X,multiply(Y,multiply(multiply(identity,multiply(multiply(identity,Z),x3)),multiply(identity,multiply(x3,x3))))) = multiply(multiply(X,Y),Z),
eq_8 ).
cnf(eq_16,negated_conjecture,
multiply(a,multiply(b,multiply(identity,multiply(multiply(identity,multiply(c,c)),multiply(identity,multiply(c,c)))))) != multiply(a,multiply(b,c)),
inference(cp,[status(thm)],[eq_6,eq_1]) ).
cnf(eq_17,plain,
X = multiply(multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Z,Z))))),Z),
inference(rw,[status(thm)],[eq_13,eq_12]) ).
cnf(eq_18,plain,
multiply(X,multiply(Y,multiply(identity,multiply(multiply(multiply(identity,Z),x3),multiply(x3,x3))))) = multiply(multiply(X,Y),Z),
inference(rw,[status(thm)],[eq_15,eq_12]) ).
cnf(eq_19,plain,
X = multiply(Y,multiply(multiply(Y,multiply(Y,multiply(X,multiply(identity,multiply(Z,Z))))),Z)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_12]),eq_12]) ).
cnf(eq_20,plain,
X = multiply(Y,multiply(Y,multiply(Y,multiply(multiply(X,Z),multiply(Z,Z))))),
inference(rw,[status(thm)],[eq_14,eq_12]) ).
cnf(eq_21,negated_conjecture,
multiply(a,multiply(b,multiply(identity,multiply(identity,multiply(multiply(c,c),multiply(c,c)))))) != multiply(a,multiply(b,c)),
inference(rw,[status(thm)],[eq_16,eq_12]) ).
cnf(eq_22,plain,
multiply(multiply(X,multiply(Y,Z)),multiply(identity,x102)) = multiply(multiply(X,Y),multiply(multiply(identity,Z),x102)),
inference(cp,[status(thm)],[eq_12,eq_12]) ).
cnf(eq_23,plain,
multiply(X,multiply(multiply(Y,Z),x3)) = multiply(multiply(X,Y),multiply(multiply(identity,Z),x3)),
inference(rw,[status(thm)],[eq_22,eq_12]) ).
cnf(eq_24,plain,
multiply(multiply(x101,multiply(Z,Z)),Z) = x101,
inference(cp,[status(thm)],[eq_20,eq_20]) ).
cnf(eq_25,plain,
multiply(Y,identity) = Y,
inference(cp,[status(thm)],[eq_17,eq_19]) ).
cnf(eq_26,plain,
multiply(multiply(Y,Z),multiply(Z,Z)) = Y,
inference(cp,[status(thm)],[eq_20,eq_17]) ).
cnf(eq_27,plain,
multiply(multiply(Y,multiply(multiply(Y,Y),Z)),multiply(multiply(identity,Z),multiply(identity,Z))) = identity,
inference(cp,[status(thm)],[eq_18,eq_17]) ).
cnf(eq_28,plain,
multiply(X,multiply(multiply(multiply(X,X),Y),multiply(Y,Y))) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_12]),eq_12]) ).
cnf(eq_29,plain,
X = multiply(X,identity),
eq_25 ).
cnf(eq_30,plain,
X = multiply(multiply(X,multiply(Y,Y)),Y),
eq_24 ).
cnf(eq_31,plain,
X = multiply(multiply(X,Y),multiply(Y,Y)),
eq_26 ).
cnf(eq_32,negated_conjecture,
multiply(a,multiply(b,multiply(identity,multiply(multiply(identity,c),multiply(multiply(identity,c),multiply(c,c)))))) != multiply(a,multiply(b,c)),
inference(cp,[status(thm)],[eq_23,eq_21]) ).
cnf(eq_33,plain,
multiply(X,multiply(X,X)) = identity,
inference(rw,[status(thm)],[eq_28,eq_31]) ).
cnf(eq_34,negated_conjecture,
multiply(a,multiply(b,multiply(identity,multiply(identity,c)))) != multiply(a,multiply(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_31]),eq_29]) ).
cnf(eq_35,plain,
multiply(identity,X) = X,
inference(cp,[status(thm)],[eq_33,eq_30]) ).
cnf(eq_36,negated_conjecture,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_35]),eq_35]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP118-1 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.12 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 04:20:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.69/0.87 % SZS status Unsatisfiable
% 0.69/0.87 % SZS output start CNFRefutation for /tmp/MaedMax_15835
% See solution above
% 0.69/0.87
%------------------------------------------------------------------------------