%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : RNG130-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n016.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 May 5 06:50:07 PM UTC 2026
% Result : Unsatisfiable 139.22s 139.48s
% Output : CNFRefutation 139.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of clauses : 63 ( 63 unt; 0 nHn; 8 RR)
% Number of literals : 63 ( 62 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 106 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
plus(X,Y) = plus(Y,X),
file('/tmp/MaedMax_13772') ).
cnf(eq_1,axiom,
plus(X,plus(Y,Z)) = plus(plus(X,Y),Z),
file('/tmp/MaedMax_13772') ).
cnf(eq_2,axiom,
X = plus(zero,X),
file('/tmp/MaedMax_13772') ).
cnf(eq_3,axiom,
plus(X,minus(X)) = zero,
file('/tmp/MaedMax_13772') ).
cnf(eq_4,axiom,
times(X,times(Y,Z)) = times(times(X,Y),Z),
file('/tmp/MaedMax_13772') ).
cnf(eq_5,axiom,
times(X,Y) = times(Y,X),
file('/tmp/MaedMax_13772') ).
cnf(eq_6,axiom,
times(X,X) = sq(X),
file('/tmp/MaedMax_13772') ).
cnf(eq_7,axiom,
plus(times(X,Y),times(X,Z)) = times(X,plus(Y,Z)),
file('/tmp/MaedMax_13772') ).
cnf(eq_8,axiom,
plus(times(X,Y),times(Z,Y)) = times(plus(X,Z),Y),
file('/tmp/MaedMax_13772') ).
cnf(eq_9,negated_conjecture,
plus(sq(plus(times(a,c),times(minus(n),times(b,d)))),times(n,sq(plus(times(a,d),times(b,c))))) != times(plus(sq(a),times(n,sq(b))),plus(sq(c),times(n,sq(d)))),
file('/tmp/MaedMax_13772') ).
cnf(eq_10,negated_conjecture,
plus(times(n,sq(plus(times(d,a),times(b,c)))),sq(plus(times(d,times(b,minus(n))),times(c,a)))) != times(plus(sq(c),times(n,sq(d))),plus(sq(a),times(n,sq(b)))),
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_9,eq_5]),eq_5]),eq_5]),eq_24]),eq_5]),eq_0]),eq_0]),eq_5]) ).
cnf(eq_11,plain,
plus(X,plus(Y,minus(plus(X,Y)))) = zero,
inference(cp,[status(thm)],[eq_1,eq_3]) ).
cnf(eq_12,plain,
plus(plus(X,Y),x102) = plus(Y,plus(X,x102)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_13,plain,
plus(zero,x102) = plus(X,plus(minus(X),x102)),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_14,plain,
plus(X,zero) = X,
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_15,plain,
times(times(X,Y),x102) = times(Y,times(X,x102)),
inference(cp,[status(thm)],[eq_5,eq_4]) ).
cnf(eq_16,plain,
times(sq(X),x102) = times(X,times(X,x102)),
inference(cp,[status(thm)],[eq_6,eq_4]) ).
cnf(eq_17,plain,
plus(x100,plus(X,Y)) = plus(Y,plus(x100,X)),
inference(cp,[status(thm)],[eq_0,eq_25]) ).
cnf(eq_18,plain,
plus(x100,zero) = plus(X,plus(x100,minus(X))),
inference(cp,[status(thm)],[eq_3,eq_25]) ).
cnf(eq_19,plain,
sq(times(x101,x102)) = times(x101,times(times(x101,x102),x102)),
inference(cp,[status(thm)],[eq_6,eq_24]) ).
cnf(eq_20,plain,
plus(X,plus(Y,Z)) = plus(Y,plus(Z,X)),
eq_17 ).
cnf(eq_21,plain,
plus(X,plus(Y,minus(X))) = plus(Y,zero),
eq_18 ).
cnf(eq_22,plain,
times(X,times(X,sq(Y))) = sq(times(X,Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_4]),eq_6]) ).
cnf(eq_23,plain,
times(X,times(X,Y)) = times(sq(X),Y),
eq_16 ).
cnf(eq_24,plain,
times(X,times(Y,Z)) = times(Y,times(X,Z)),
inference(rw,[status(thm)],[eq_15,eq_4]) ).
cnf(eq_25,plain,
plus(X,plus(Y,Z)) = plus(Y,plus(X,Z)),
inference(rw,[status(thm)],[eq_12,eq_1]) ).
cnf(eq_26,plain,
X = plus(Y,plus(minus(Y),X)),
inference(rw,[status(thm)],[eq_13,eq_2]) ).
cnf(eq_27,negated_conjecture,
plus(times(sq(plus(times(b,c),times(d,a))),n),sq(plus(times(c,a),times(d,times(b,minus(n)))))) != plus(times(sq(c),sq(a)),plus(times(sq(d),times(sq(b),sq(n))),plus(times(sq(b),times(sq(c),n)),times(sq(d),times(sq(a),n))))),
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_10,eq_0]),eq_0]),eq_5]),eq_5]),eq_5]),eq_8]),eq_7]),eq_4]),eq_24]),eq_7]),eq_5]),eq_24]),eq_6]),eq_0]),eq_7]),eq_1]),eq_25]) ).
cnf(eq_28,plain,
plus(plus(X,plus(Y,minus(X))),x102) = plus(Y,plus(zero,x102)),
inference(cp,[status(thm)],[eq_21,eq_1]) ).
cnf(eq_29,plain,
times(X,x102) = plus(times(zero,x102),times(X,x102)),
inference(cp,[status(thm)],[eq_2,eq_8]) ).
cnf(eq_30,plain,
times(zero,x102) = plus(times(X,x102),times(minus(X),x102)),
inference(cp,[status(thm)],[eq_3,eq_8]) ).
cnf(eq_31,plain,
plus(Y,plus(X,minus(plus(X,Y)))) = zero,
inference(cp,[status(thm)],[eq_25,eq_11]) ).
cnf(eq_32,plain,
plus(X,plus(Y,minus(X))) = plus(zero,Y),
inference(cp,[status(thm)],[eq_21,eq_0]) ).
cnf(eq_33,plain,
X = plus(plus(minus(Y),X),Y),
inference(cp,[status(thm)],[eq_26,eq_0]) ).
cnf(eq_34,plain,
plus(x100,zero) = minus(minus(x100)),
inference(cp,[status(thm)],[eq_3,eq_26]) ).
cnf(eq_35,plain,
X = plus(minus(Y),plus(X,Y)),
inference(rw,[status(thm)],[eq_33,eq_1]) ).
cnf(eq_36,plain,
plus(X,plus(Y,minus(plus(Y,X)))) = zero,
eq_31 ).
cnf(eq_37,plain,
X = plus(Y,plus(X,minus(Y))),
inference(rw,[status(thm)],[eq_32,eq_2]) ).
cnf(eq_38,plain,
plus(X,zero) = minus(minus(X)),
eq_34 ).
cnf(eq_39,plain,
plus(X,Y) = plus(Z,plus(X,plus(minus(Z),Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_1]),eq_1]),eq_2]) ).
cnf(eq_40,plain,
plus(times(zero,X),times(Y,X)) = times(Y,X),
eq_29 ).
cnf(eq_41,plain,
X = minus(minus(X)),
inference(rw,[status(thm)],[eq_38,eq_14]) ).
cnf(eq_42,plain,
plus(minus(plus(X,Y)),X) = minus(Y),
inference(cp,[status(thm)],[eq_35,eq_35]) ).
cnf(eq_43,plain,
plus(X,minus(plus(X,Y))) = minus(Y),
inference(rw,[status(thm)],[eq_42,eq_0]) ).
cnf(eq_44,plain,
plus(times(Y,X),plus(times(zero,X),minus(times(Y,X)))) = zero,
inference(cp,[status(thm)],[eq_40,eq_36]) ).
cnf(eq_45,plain,
plus(minus(Y),minus(X)) = minus(plus(X,Y)),
inference(cp,[status(thm)],[eq_35,eq_43]) ).
cnf(eq_46,plain,
zero = times(zero,X),
inference(rw,[status(thm)],[eq_44,eq_37]) ).
cnf(eq_47,plain,
plus(minus(X),minus(Y)) = minus(plus(Y,X)),
eq_45 ).
cnf(eq_48,plain,
plus(times(X,Y),times(minus(X),Y)) = zero,
inference(rw,[status(thm)],[eq_30,eq_46]) ).
cnf(eq_49,plain,
plus(minus(times(minus(X),Y)),zero) = times(X,Y),
inference(cp,[status(thm)],[eq_48,eq_35]) ).
cnf(eq_50,plain,
plus(times(X,Y),times(minus(Y),X)) = zero,
inference(cp,[status(thm)],[eq_5,eq_48]) ).
cnf(eq_51,plain,
minus(times(minus(X),Y)) = times(X,Y),
inference(rw,[status(thm)],[eq_49,eq_14]) ).
cnf(eq_52,plain,
plus(times(x100,minus(X)),times(X,x100)) = zero,
inference(cp,[status(thm)],[eq_41,eq_50]) ).
cnf(eq_53,plain,
minus(times(X,Y)) = times(minus(X),Y),
inference(cp,[status(thm)],[eq_51,eq_41]) ).
cnf(eq_54,plain,
plus(x100,zero) = plus(times(minus(Y),X),plus(x100,times(X,Y))),
inference(cp,[status(thm)],[eq_50,eq_20]) ).
cnf(eq_55,plain,
plus(times(X,minus(Y)),times(Y,X)) = zero,
eq_52 ).
cnf(eq_56,plain,
X = plus(times(minus(Y),Z),plus(X,times(Z,Y))),
inference(rw,[status(thm)],[eq_54,eq_14]) ).
cnf(eq_57,plain,
plus(times(minus(X),Y),zero) = times(X,minus(Y)),
inference(cp,[status(thm)],[eq_55,eq_56]) ).
cnf(eq_58,plain,
times(X,minus(Y)) = times(minus(X),Y),
inference(rw,[status(thm)],[eq_57,eq_14]) ).
cnf(eq_59,plain,
minus(times(X,Y)) = times(X,minus(Y)),
inference(rw,[status(thm)],[eq_53,eq_58]) ).
cnf(eq_60,negated_conjecture,
plus(times(b,times(b,times(c,times(c,n)))),plus(times(b,times(c,times(a,times(n,d)))),plus(times(b,times(c,times(a,times(n,d)))),plus(times(a,times(a,times(n,sq(d)))),sq(plus(times(c,a),times(b,times(n,minus(d))))))))) != plus(sq(times(c,a)),plus(times(b,times(b,times(c,times(c,n)))),plus(sq(times(b,times(n,d))),times(a,times(a,times(n,sq(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)],[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)],[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_27,eq_5]),eq_24]),eq_23]),eq_5]),eq_8]),eq_58]),eq_4]),eq_4]),eq_5]),eq_8]),eq_4]),eq_4]),eq_7]),eq_7]),eq_24]),eq_24]),eq_24]),eq_7]),eq_24]),eq_24]),eq_5]),eq_6]),eq_7]),eq_24]),eq_24]),eq_1]),eq_1]),eq_1]),eq_1]),eq_23]),eq_23]),eq_23]),eq_23]),eq_22]),eq_22]),eq_23]),eq_23]),eq_23]),eq_24]),eq_5]),eq_24]),eq_23]),eq_5]),eq_4]),eq_24]),eq_4]),eq_24]),eq_24]),eq_24]),eq_24]),eq_6]),eq_24]),eq_24]),eq_24]),eq_6]),eq_22]),eq_22]),eq_25]) ).
cnf(eq_61,negated_conjecture,
plus(times(c,times(c,times(a,a))),plus(times(b,times(b,times(c,times(c,n)))),plus(times(a,times(a,times(n,times(d,d)))),times(b,times(b,times(n,times(n,times(d,d)))))))) != plus(times(c,times(c,times(a,a))),plus(times(b,times(b,times(c,times(c,n)))),plus(times(a,times(a,times(n,times(d,d)))),times(b,times(b,times(n,times(n,times(d,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)],[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)],[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_60,eq_6]),eq_59]),eq_59]),eq_6]),eq_8]),eq_4]),eq_53]),eq_7]),eq_4]),eq_24]),eq_59]),eq_4]),eq_24]),eq_7]),eq_7]),eq_24]),eq_59]),eq_59]),eq_5]),eq_24]),eq_24]),eq_24]),eq_7]),eq_24]),eq_59]),eq_24]),eq_24]),eq_7]),eq_59]),eq_47]),eq_41]),eq_0]),eq_1]),eq_25]),eq_25]),eq_25]),eq_39]),eq_39]),eq_25]),eq_6]),eq_6]),eq_6]),eq_4]),eq_4]),eq_24]),eq_4]),eq_24]),eq_24]),eq_24]),eq_0]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : RNG130-1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : run_maedmax %d %s
% 0.18/0.35 % Computer : n016.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Tue May 5 05:10:51 EDT 2026
% 0.18/0.35 % CPUTime :
% 139.22/139.48 % SZS status Unsatisfiable
% 139.22/139.48 % SZS output start CNFRefutation for /tmp/MaedMax_13772
% See solution above
% 139.22/139.48
%------------------------------------------------------------------------------