%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : RNG026-6 : TPTP v8.1.0. Released v1.0.0.
% 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 07:11:48 EDT 2022
% Result : Unsatisfiable 2.34s 2.56s
% Output : CNFRefutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 33 ( 33 unt; 0 nHn; 8 RR)
% Number of literals : 33 ( 32 equ; 7 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 47 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = add(additive_identity,X),
file('/tmp/MaedMax_14363') ).
cnf(eq_1,axiom,
X = add(X,additive_identity),
file('/tmp/MaedMax_14363') ).
cnf(eq_2,axiom,
additive_identity = multiply(X,additive_identity),
file('/tmp/MaedMax_14363') ).
cnf(eq_3,axiom,
additive_identity = add(additive_inverse(X),X),
file('/tmp/MaedMax_14363') ).
cnf(eq_4,axiom,
additive_identity = add(X,additive_inverse(X)),
file('/tmp/MaedMax_14363') ).
cnf(eq_5,axiom,
X = additive_inverse(additive_inverse(X)),
file('/tmp/MaedMax_14363') ).
cnf(eq_6,axiom,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
file('/tmp/MaedMax_14363') ).
cnf(eq_7,axiom,
add(multiply(X,Y),multiply(Z,Y)) = multiply(add(X,Z),Y),
file('/tmp/MaedMax_14363') ).
cnf(eq_8,axiom,
add(X,Y) = add(Y,X),
file('/tmp/MaedMax_14363') ).
cnf(eq_9,axiom,
add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/tmp/MaedMax_14363') ).
cnf(eq_10,axiom,
add(multiply(multiply(X,Y),Z),additive_inverse(multiply(X,multiply(Y,Z)))) = associator(X,Y,Z),
file('/tmp/MaedMax_14363') ).
cnf(eq_11,negated_conjecture,
additive_identity != add(add(associator(multiply(a,b),c,d),associator(a,b,multiply(c,d))),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d)))),
file('/tmp/MaedMax_14363') ).
cnf(eq_12,negated_conjecture,
additive_identity != add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(multiply(a,multiply(b,c)),d),add(multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d))),multiply(add(additive_inverse(multiply(a,multiply(b,c))),multiply(multiply(a,b),c)),d))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_10]),eq_10]),eq_10]),eq_10]),eq_10]),eq_8]),eq_8]),eq_8]),eq_8]),eq_8]),eq_9]),eq_9]),eq_18]),eq_9]),eq_8]),eq_9]),eq_18]),eq_18]),eq_9]),eq_9]),eq_9]) ).
cnf(eq_13,plain,
add(additive_identity,x102) = add(additive_inverse(X),add(X,x102)),
inference(cp,[status(thm)],[eq_3,eq_9]) ).
cnf(eq_14,plain,
add(add(Y,X),x102) = add(X,add(Y,x102)),
inference(cp,[status(thm)],[eq_8,eq_9]) ).
cnf(eq_15,plain,
add(Y,add(additive_inverse(add(Y,Z)),Z)) = additive_identity,
inference(cp,[status(thm)],[eq_18,eq_3]) ).
cnf(eq_16,plain,
add(x100,additive_identity) = add(additive_inverse(X),add(x100,X)),
inference(cp,[status(thm)],[eq_3,eq_18]) ).
cnf(eq_17,plain,
X = add(Y,add(additive_inverse(Y),X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_0]),eq_18]) ).
cnf(eq_18,plain,
add(X,add(Y,Z)) = add(Y,add(X,Z)),
inference(rw,[status(thm)],[eq_14,eq_9]) ).
cnf(eq_19,plain,
additive_identity = add(X,add(Y,additive_inverse(add(X,Y)))),
inference(rw,[status(thm)],[eq_15,eq_8]) ).
cnf(eq_20,plain,
X = add(additive_inverse(Y),add(X,Y)),
inference(rw,[status(thm)],[eq_16,eq_1]) ).
cnf(eq_21,negated_conjecture,
add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d))),add(multiply(multiply(a,multiply(b,c)),d),multiply(add(additive_inverse(multiply(a,multiply(b,c))),multiply(multiply(a,b),c)),d))))))))) != additive_identity,
inference(cp,[status(thm)],[eq_18,eq_12]) ).
cnf(eq_22,negated_conjecture,
additive_identity != add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d))),multiply(add(multiply(a,multiply(b,c)),add(additive_inverse(multiply(a,multiply(b,c))),multiply(multiply(a,b),c))),d)))))))),
inference(rw,[status(thm)],[eq_21,eq_7]) ).
cnf(eq_23,negated_conjecture,
additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),additive_inverse(add(multiply(a,associator(b,c,d)),add(multiply(add(multiply(a,multiply(b,c)),associator(a,b,c)),d),additive_inverse(multiply(a,multiply(multiply(b,c),d)))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_8]),eq_8]),eq_10]),eq_10]),eq_18]),eq_8]),eq_18]),eq_18]),eq_18]) ).
cnf(eq_24,plain,
add(x100,additive_identity) = add(X,add(x100,add(Y,additive_inverse(add(X,Y))))),
inference(cp,[status(thm)],[eq_19,eq_18]) ).
cnf(eq_25,plain,
X = add(Y,add(X,add(Z,additive_inverse(add(Y,Z))))),
inference(rw,[status(thm)],[eq_24,eq_1]) ).
cnf(eq_26,plain,
multiply(x100,additive_identity) = add(multiply(x100,additive_inverse(X)),multiply(x100,X)),
inference(cp,[status(thm)],[eq_3,eq_6]) ).
cnf(eq_27,plain,
additive_identity = add(multiply(X,Y),multiply(X,additive_inverse(Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_2]),eq_8]) ).
cnf(eq_28,plain,
add(additive_inverse(multiply(X,additive_inverse(Y))),additive_identity) = multiply(X,Y),
inference(cp,[status(thm)],[eq_27,eq_20]) ).
cnf(eq_29,plain,
multiply(X,Y) = additive_inverse(multiply(X,additive_inverse(Y))),
inference(rw,[status(thm)],[eq_28,eq_1]) ).
cnf(eq_30,negated_conjecture,
add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(additive_inverse(multiply(a,additive_inverse(multiply(b,multiply(c,d)))))),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),additive_inverse(add(multiply(a,associator(b,c,d)),add(multiply(add(multiply(a,multiply(b,c)),associator(a,b,c)),d),additive_inverse(multiply(a,multiply(multiply(b,c),d)))))))))) != additive_identity,
inference(cp,[status(thm)],[eq_29,eq_23]) ).
cnf(eq_31,negated_conjecture,
additive_identity != additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_5]),eq_10]),eq_10]),eq_8]),eq_8]),eq_6]),eq_17]),eq_8]),eq_9]),eq_17]),eq_18]),eq_18]),eq_25]),eq_4]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG026-6 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 02:57:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.34/2.56 % SZS status Unsatisfiable
% 2.34/2.56 % SZS output start CNFRefutation for /tmp/MaedMax_14363
% See solution above
% 2.34/2.56
%------------------------------------------------------------------------------