%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LCL158-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n008.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 0.63s 1.00s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of clauses : 39 ( 39 unt; 0 nHn; 13 RR)
% Number of literals : 39 ( 38 equ; 8 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 40 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = implies(truth,X),
file('/tmp/MaedMax_367277') ).
cnf(eq_1,axiom,
truth = implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))),
file('/tmp/MaedMax_367277') ).
cnf(eq_2,axiom,
implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/tmp/MaedMax_367277') ).
cnf(eq_3,axiom,
truth = implies(implies(not(X),not(Y)),implies(Y,X)),
file('/tmp/MaedMax_367277') ).
cnf(eq_4,axiom,
implies(not(X),Y) = or(X,Y),
file('/tmp/MaedMax_367277') ).
cnf(eq_5,axiom,
or(X,Y) = or(Y,X),
file('/tmp/MaedMax_367277') ).
cnf(eq_6,axiom,
not(or(not(X),not(Y))) = and(X,Y),
file('/tmp/MaedMax_367277') ).
cnf(eq_7,axiom,
or(and(X,not(Y)),and(not(X),Y)) = xor(X,Y),
file('/tmp/MaedMax_367277') ).
cnf(eq_8,axiom,
not(or(not(X),not(Y))) = and_star(X,Y),
file('/tmp/MaedMax_367277') ).
cnf(eq_9,axiom,
not(truth) = falsehood,
file('/tmp/MaedMax_367277') ).
cnf(eq_10,negated_conjecture,
and_star(xor(truth,x),x) != falsehood,
file('/tmp/MaedMax_367277') ).
cnf(eq_11,plain,
and(X,Y) = not(implies(not(not(X)),not(Y))),
inference(rw,[status(thm)],[eq_6,eq_4]) ).
cnf(eq_12,plain,
and_star(X,Y) = not(implies(not(not(X)),not(Y))),
inference(rw,[status(thm)],[eq_8,eq_4]) ).
cnf(eq_13,plain,
implies(not(not(implies(not(not(X)),not(not(Y))))),not(implies(not(not(not(X))),not(Y)))) = xor(X,Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_11]),eq_11]),eq_4]) ).
cnf(eq_14,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_15,plain,
implies(X,implies(implies(X,x102),implies(truth,x102))) = truth,
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_16,plain,
implies(implies(not(X),not(truth)),X) = truth,
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_17,plain,
implies(X,X) = implies(implies(X,truth),truth),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_18,plain,
truth = implies(X,implies(implies(X,Y),Y)),
inference(rw,[status(thm)],[eq_15,eq_0]) ).
cnf(eq_19,plain,
truth = implies(implies(truth,Y),Y),
inference(cp,[status(thm)],[eq_18,eq_0]) ).
cnf(eq_20,plain,
implies(X,implies(X,X)) = truth,
inference(cp,[status(thm)],[eq_17,eq_18]) ).
cnf(eq_21,plain,
truth = implies(X,X),
inference(rw,[status(thm)],[eq_19,eq_0]) ).
cnf(eq_22,plain,
truth = implies(X,implies(X,X)),
eq_20 ).
cnf(eq_23,plain,
truth = implies(X,truth),
inference(rw,[status(thm)],[eq_22,eq_21]) ).
cnf(eq_24,plain,
implies(not(not(X)),X) = truth,
inference(cp,[status(thm)],[eq_14,eq_21]) ).
cnf(eq_25,plain,
implies(truth,implies(x101,not(not(x101)))) = truth,
inference(cp,[status(thm)],[eq_24,eq_3]) ).
cnf(eq_26,plain,
implies(truth,not(not(truth))) = truth,
inference(cp,[status(thm)],[eq_24,eq_16]) ).
cnf(eq_27,plain,
implies(truth,X) = implies(implies(X,not(not(X))),not(not(X))),
inference(cp,[status(thm)],[eq_24,eq_2]) ).
cnf(eq_28,plain,
truth = not(not(truth)),
inference(rw,[status(thm)],[eq_26,eq_0]) ).
cnf(eq_29,plain,
truth = implies(X,not(not(X))),
inference(rw,[status(thm)],[eq_25,eq_0]) ).
cnf(eq_30,plain,
X = not(not(X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_0]),eq_29]),eq_0]) ).
cnf(eq_31,negated_conjecture,
not(truth) != not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))),not(x))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_13]),eq_12]),eq_9]) ).
cnf(eq_32,negated_conjecture,
not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(x)),not(not(truth))))))),not(x))) != not(truth),
inference(cp,[status(thm)],[eq_14,eq_31]) ).
cnf(eq_33,negated_conjecture,
not(implies(not(not(implies(not(not(implies(not(not(x)),not(not(truth))))),not(implies(not(not(truth)),not(not(x))))))),not(x))) != not(truth),
inference(cp,[status(thm)],[eq_14,eq_32]) ).
cnf(eq_34,negated_conjecture,
not(truth) != not(implies(not(not(implies(not(not(implies(not(not(x)),truth))),not(not(not(x)))))),not(x))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_28]),eq_28]),eq_0]) ).
cnf(eq_35,negated_conjecture,
not(implies(not(not(implies(not(not(implies(not(not(x)),truth))),not(not(not(x)))))),not(x))) != falsehood,
inference(rw,[status(thm)],[eq_34,eq_9]) ).
cnf(eq_36,negated_conjecture,
not(implies(not(not(x)),not(implies(not(not(implies(not(not(x)),truth))),not(not(not(x))))))) != falsehood,
inference(cp,[status(thm)],[eq_14,eq_35]) ).
cnf(eq_37,negated_conjecture,
not(truth) != not(truth),
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_36,eq_30]),eq_30]),eq_30]),eq_23]),eq_30]),eq_0]),eq_30]),eq_21]),eq_9]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL158-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_maedmax %d %s
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 06:15:38 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.63/1.00 % SZS status Unsatisfiable
% 0.63/1.00 % SZS output start CNFRefutation for /tmp/MaedMax_367277
% See solution above
% 0.63/1.00
%------------------------------------------------------------------------------