%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LCL160-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:38:42 PM UTC 2026
% Result : Unsatisfiable 6.91s 7.25s
% Output : CNFRefutation 6.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of clauses : 45 ( 45 unt; 0 nHn; 14 RR)
% Number of literals : 45 ( 44 equ; 6 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; 7 con; 0-2 aty)
% Number of variables : 47 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = implies(truth,X),
file('/tmp/MaedMax_2278966') ).
cnf(eq_1,axiom,
truth = implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))),
file('/tmp/MaedMax_2278966') ).
cnf(eq_2,axiom,
implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/tmp/MaedMax_2278966') ).
cnf(eq_3,axiom,
truth = implies(implies(not(X),not(Y)),implies(Y,X)),
file('/tmp/MaedMax_2278966') ).
cnf(eq_4,axiom,
implies(not(X),Y) = or(X,Y),
file('/tmp/MaedMax_2278966') ).
cnf(eq_5,axiom,
or(X,Y) = or(Y,X),
file('/tmp/MaedMax_2278966') ).
cnf(eq_6,axiom,
not(or(not(X),not(Y))) = and(X,Y),
file('/tmp/MaedMax_2278966') ).
cnf(eq_7,axiom,
or(and(X,not(Y)),and(not(X),Y)) = xor(X,Y),
file('/tmp/MaedMax_2278966') ).
cnf(eq_8,axiom,
not(or(not(X),not(Y))) = and_star(X,Y),
file('/tmp/MaedMax_2278966') ).
cnf(eq_9,axiom,
not(truth) = falsehood,
file('/tmp/MaedMax_2278966') ).
cnf(eq_10,negated_conjecture,
and_star(xor(and_star(xor(truth,x),y),truth),y) != and_star(xor(and_star(xor(truth,y),x),truth),x),
file('/tmp/MaedMax_2278966') ).
cnf(eq_11,plain,
implies(not(X),Y) = implies(not(Y),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_4]),eq_4]) ).
cnf(eq_12,plain,
implies(X,implies(implies(X,x102),implies(truth,x102))) = truth,
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_13,plain,
implies(implies(not(x100),falsehood),implies(truth,x100)) = truth,
inference(cp,[status(thm)],[eq_9,eq_3]) ).
cnf(eq_14,plain,
implies(X,X) = implies(implies(X,truth),truth),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_15,plain,
truth = implies(X,implies(implies(X,Y),Y)),
inference(rw,[status(thm)],[eq_12,eq_0]) ).
cnf(eq_16,plain,
truth = implies(implies(not(X),falsehood),X),
inference(rw,[status(thm)],[eq_13,eq_0]) ).
cnf(eq_17,plain,
truth = implies(implies(truth,Y),Y),
inference(cp,[status(thm)],[eq_15,eq_0]) ).
cnf(eq_18,plain,
implies(X,implies(X,X)) = truth,
inference(cp,[status(thm)],[eq_14,eq_15]) ).
cnf(eq_19,plain,
truth = implies(X,X),
inference(rw,[status(thm)],[eq_17,eq_0]) ).
cnf(eq_20,plain,
truth = implies(X,implies(X,X)),
eq_18 ).
cnf(eq_21,plain,
truth = implies(X,truth),
inference(rw,[status(thm)],[eq_20,eq_19]) ).
cnf(eq_22,plain,
implies(not(not(X)),X) = truth,
inference(cp,[status(thm)],[eq_11,eq_19]) ).
cnf(eq_23,plain,
implies(truth,implies(x101,not(not(x101)))) = truth,
inference(cp,[status(thm)],[eq_22,eq_3]) ).
cnf(eq_24,plain,
implies(truth,not(falsehood)) = truth,
inference(cp,[status(thm)],[eq_22,eq_16]) ).
cnf(eq_25,plain,
implies(truth,X) = implies(implies(X,not(not(X))),not(not(X))),
inference(cp,[status(thm)],[eq_22,eq_2]) ).
cnf(eq_26,plain,
truth = implies(not(truth),x100),
inference(cp,[status(thm)],[eq_21,eq_11]) ).
cnf(eq_27,plain,
truth = implies(falsehood,X),
inference(rw,[status(thm)],[eq_26,eq_9]) ).
cnf(eq_28,plain,
truth = not(falsehood),
inference(rw,[status(thm)],[eq_24,eq_0]) ).
cnf(eq_29,plain,
truth = implies(X,not(not(X))),
inference(rw,[status(thm)],[eq_23,eq_0]) ).
cnf(eq_30,plain,
implies(truth,X) = implies(implies(X,falsehood),falsehood),
inference(cp,[status(thm)],[eq_27,eq_2]) ).
cnf(eq_31,plain,
implies(truth,x101) = implies(not(x101),falsehood),
inference(cp,[status(thm)],[eq_28,eq_11]) ).
cnf(eq_32,plain,
X = implies(implies(X,falsehood),falsehood),
inference(rw,[status(thm)],[eq_30,eq_0]) ).
cnf(eq_33,plain,
X = implies(not(X),falsehood),
inference(rw,[status(thm)],[eq_31,eq_0]) ).
cnf(eq_34,plain,
X = not(not(X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_0]),eq_29]),eq_0]) ).
cnf(eq_35,plain,
and(X,Y) = not(implies(X,not(Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_4]),eq_34]) ).
cnf(eq_36,plain,
and_star(X,Y) = not(implies(X,not(Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_4]),eq_34]) ).
cnf(eq_37,plain,
implies(implies(X,Y),not(implies(not(X),not(Y)))) = xor(X,Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_35]),eq_35]),eq_34]),eq_4]),eq_34]) ).
cnf(eq_38,plain,
implies(X,falsehood) = not(X),
inference(cp,[status(thm)],[eq_33,eq_32]) ).
cnf(eq_39,negated_conjecture,
and_star(xor(and_star(xor(implies(X,not(not(X))),y),x),truth),x) != and_star(xor(and_star(xor(truth,x),y),truth),y),
inference(cp,[status(thm)],[eq_29,eq_10]) ).
cnf(eq_40,negated_conjecture,
and_star(xor(and_star(xor(truth,x),y),truth),y) != and_star(xor(and_star(xor(implies(X,not(not(X))),y),x),truth),x),
eq_39 ).
cnf(eq_41,negated_conjecture,
not(implies(not(implies(implies(implies(x,not(implies(falsehood,not(x)))),not(y)),falsehood)),not(y))) != not(implies(not(implies(implies(implies(y,not(implies(falsehood,not(y)))),not(x)),falsehood)),not(x))),
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_40,eq_37]),eq_0]),eq_9]),eq_36]),eq_37]),eq_21]),eq_34]),eq_9]),eq_0]),eq_36]),eq_34]),eq_19]),eq_37]),eq_0]),eq_9]),eq_36]),eq_37]),eq_21]),eq_34]),eq_9]),eq_0]),eq_36]) ).
cnf(eq_42,negated_conjecture,
implies(implies(implies(implies(x,falsehood),implies(y,falsehood)),implies(y,falsehood)),falsehood) != implies(implies(implies(implies(y,falsehood),implies(x,falsehood)),implies(x,falsehood)),falsehood),
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_41,eq_38]),eq_38]),eq_38]),eq_27]),eq_38]),eq_0]),eq_38]),eq_32]),eq_38]),eq_38]),eq_38]),eq_38]),eq_27]),eq_38]),eq_0]),eq_38]),eq_32]),eq_38]) ).
cnf(eq_43,negated_conjecture,
implies(implies(implies(implies(y,falsehood),implies(x,falsehood)),implies(x,falsehood)),falsehood) != implies(implies(implies(implies(y,falsehood),implies(x,falsehood)),implies(x,falsehood)),falsehood),
inference(cp,[status(thm)],[eq_2,eq_42]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL160-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_maedmax %d %s
% 0.09/0.36 % Computer : n031.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 4 15:20:54 UTC 2026
% 0.09/0.36 % CPUTime :
% 6.91/7.25 % SZS status Unsatisfiable
% 6.91/7.25 % SZS output start CNFRefutation for /tmp/MaedMax_2278966
% See solution above
% 6.91/7.25
%------------------------------------------------------------------------------