%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : BOO029-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n026.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 06:57:49 EDT 2022
% Result : Unsatisfiable 1.45s 1.63s
% Output : CNFRefutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of clauses : 55 ( 55 unt; 0 nHn; 5 RR)
% Number of literals : 55 ( 54 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 100 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = add(X,multiply(Y,multiply(X,Z))),
file('/tmp/MaedMax_8025') ).
cnf(eq_1,axiom,
X = add(add(multiply(Y,X),multiply(X,Z)),X),
file('/tmp/MaedMax_8025') ).
cnf(eq_2,axiom,
X = multiply(add(X,Y),add(X,inverse(Y))),
file('/tmp/MaedMax_8025') ).
cnf(eq_3,axiom,
X = multiply(X,add(Y,add(X,Z))),
file('/tmp/MaedMax_8025') ).
cnf(eq_4,axiom,
X = add(multiply(X,Y),multiply(X,inverse(Y))),
file('/tmp/MaedMax_8025') ).
cnf(eq_5,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_8025') ).
cnf(eq_6,axiom,
multiply(X,Y) = multiply(Y,X),
file('/tmp/MaedMax_8025') ).
cnf(eq_7,axiom,
add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/tmp/MaedMax_8025') ).
cnf(eq_8,axiom,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
file('/tmp/MaedMax_8025') ).
cnf(eq_9,negated_conjecture,
add(b,inverse(b)) != add(a,inverse(a)),
file('/tmp/MaedMax_8025') ).
cnf(eq_10,plain,
multiply(X,add(x101,X)) = X,
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_11,plain,
multiply(multiply(X,Y),x102) = multiply(Y,multiply(X,x102)),
inference(cp,[status(thm)],[eq_6,eq_8]) ).
cnf(eq_12,plain,
multiply(add(Y,X),add(X,inverse(Y))) = X,
inference(cp,[status(thm)],[eq_5,eq_2]) ).
cnf(eq_13,plain,
add(X,multiply(x101,X)) = X,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_14,plain,
add(multiply(X,Y),multiply(Y,inverse(X))) = Y,
inference(cp,[status(thm)],[eq_6,eq_4]) ).
cnf(eq_15,plain,
X = add(X,multiply(Y,X)),
eq_13 ).
cnf(eq_16,plain,
X = add(multiply(Y,X),multiply(X,inverse(Y))),
eq_14 ).
cnf(eq_17,plain,
X = multiply(X,add(Y,X)),
eq_10 ).
cnf(eq_18,plain,
multiply(X,multiply(Y,Z)) = multiply(Y,multiply(X,Z)),
inference(rw,[status(thm)],[eq_11,eq_8]) ).
cnf(eq_19,plain,
multiply(x100,add(x100,x102)) = x100,
inference(cp,[status(thm)],[eq_1,eq_3]) ).
cnf(eq_20,plain,
multiply(X,x102) = multiply(X,multiply(add(Y,X),x102)),
inference(cp,[status(thm)],[eq_17,eq_8]) ).
cnf(eq_21,plain,
multiply(x100,X) = multiply(X,multiply(x100,add(Y,X))),
inference(cp,[status(thm)],[eq_17,eq_18]) ).
cnf(eq_22,plain,
multiply(X,Y) = multiply(X,multiply(add(Z,X),Y)),
eq_20 ).
cnf(eq_23,plain,
X = multiply(X,add(X,Y)),
eq_19 ).
cnf(eq_24,plain,
multiply(X,Y) = multiply(Y,multiply(X,add(Z,Y))),
eq_21 ).
cnf(eq_25,plain,
add(multiply(x100,Y),multiply(inverse(x100),Y)) = Y,
inference(cp,[status(thm)],[eq_6,eq_16]) ).
cnf(eq_26,plain,
X = add(multiply(Y,X),multiply(inverse(Y),X)),
eq_25 ).
cnf(eq_27,plain,
multiply(X,add(multiply(Y,X),inverse(X))) = multiply(Y,X),
inference(cp,[status(thm)],[eq_15,eq_12]) ).
cnf(eq_28,plain,
multiply(X,Y) = multiply(Y,add(inverse(Y),multiply(X,Y))),
inference(rw,[status(thm)],[eq_27,eq_5]) ).
cnf(eq_29,plain,
multiply(multiply(add(x101,Y),x102),Y) = multiply(Y,x102),
inference(cp,[status(thm)],[eq_6,eq_22]) ).
cnf(eq_30,plain,
multiply(inverse(Y),X) = multiply(add(Y,X),inverse(Y)),
inference(cp,[status(thm)],[eq_12,eq_24]) ).
cnf(eq_31,plain,
add(X,multiply(inverse(X),add(Y,X))) = add(Y,X),
inference(cp,[status(thm)],[eq_17,eq_26]) ).
cnf(eq_32,plain,
multiply(add(X,Y),inverse(X)) = multiply(inverse(X),Y),
eq_30 ).
cnf(eq_33,plain,
multiply(X,Y) = multiply(add(Z,X),multiply(Y,X)),
inference(rw,[status(thm)],[eq_29,eq_8]) ).
cnf(eq_34,plain,
add(X,Y) = add(Y,multiply(inverse(Y),add(X,Y))),
eq_31 ).
cnf(eq_35,plain,
multiply(inverse(X),Y) = multiply(inverse(X),add(X,Y)),
inference(cp,[status(thm)],[eq_32,eq_6]) ).
cnf(eq_36,plain,
add(Y,multiply(inverse(Y),add(Y,X))) = add(X,Y),
inference(cp,[status(thm)],[eq_5,eq_34]) ).
cnf(eq_37,plain,
add(multiply(X,add(X,Y)),multiply(inverse(X),Y)) = add(X,Y),
inference(cp,[status(thm)],[eq_35,eq_26]) ).
cnf(eq_38,plain,
add(X,Y) = add(Y,multiply(inverse(Y),X)),
inference(rw,[status(thm)],[eq_36,eq_35]) ).
cnf(eq_39,plain,
add(X,Y) = add(X,multiply(inverse(X),Y)),
inference(rw,[status(thm)],[eq_37,eq_23]) ).
cnf(eq_40,plain,
multiply(Y,add(inverse(Y),Y)) = multiply(inverse(inverse(Y)),Y),
inference(cp,[status(thm)],[eq_39,eq_28]) ).
cnf(eq_41,plain,
add(x100,inverse(x100)) = add(add(Y,inverse(x100)),x100),
inference(cp,[status(thm)],[eq_17,eq_38]) ).
cnf(eq_42,plain,
add(X,add(Y,inverse(Y))) = add(Y,inverse(Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_7]),eq_5]) ).
cnf(eq_43,plain,
X = multiply(X,inverse(inverse(X))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_40,eq_5]),eq_23]),eq_6]) ).
cnf(eq_44,plain,
multiply(add(x100,inverse(inverse(X))),X) = multiply(inverse(inverse(X)),X),
inference(cp,[status(thm)],[eq_43,eq_33]) ).
cnf(eq_45,plain,
X = multiply(X,add(Y,inverse(inverse(X)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_44,eq_6]),eq_6]),eq_43]) ).
cnf(eq_46,plain,
multiply(x100,add(inverse(inverse(x100)),X)) = x100,
inference(cp,[status(thm)],[eq_5,eq_45]) ).
cnf(eq_47,plain,
X = multiply(X,add(inverse(inverse(X)),Y)),
eq_46 ).
cnf(eq_48,plain,
multiply(x100,add(Y,inverse(Y))) = x100,
inference(cp,[status(thm)],[eq_42,eq_47]) ).
cnf(eq_49,plain,
X = multiply(X,add(Y,inverse(Y))),
eq_48 ).
cnf(eq_50,plain,
add(x100,inverse(x100)) = add(x100,add(Y,inverse(Y))),
inference(cp,[status(thm)],[eq_49,eq_39]) ).
cnf(eq_51,plain,
add(X,inverse(X)) = add(Y,inverse(Y)),
inference(rw,[status(thm)],[eq_50,eq_42]) ).
cnf(eq_52,negated_conjecture,
add(X,inverse(X)) != add(a,inverse(a)),
inference(cp,[status(thm)],[eq_51,eq_9]) ).
cnf(eq_53,negated_conjecture,
add(X,inverse(X)) != add(X,inverse(X)),
eq_52 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO029-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Jul 26 03:40:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.45/1.63 % SZS status Unsatisfiable
% 1.45/1.63 % SZS output start CNFRefutation for /tmp/MaedMax_8025
% See solution above
% 1.45/1.63
%------------------------------------------------------------------------------