%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LCL157-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n006.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 12:38:41 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.54s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 25 ( 25 unt; 0 nHn; 6 RR)
% Number of literals : 25 ( 24 equ; 2 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; 4 con; 0-2 aty)
% Number of variables : 29 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = implies(truth,X),
file('/tmp/MaedMax_1597829') ).
cnf(eq_1,axiom,
truth = implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))),
file('/tmp/MaedMax_1597829') ).
cnf(eq_2,axiom,
implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/tmp/MaedMax_1597829') ).
cnf(eq_3,axiom,
truth = implies(implies(not(X),not(Y)),implies(Y,X)),
file('/tmp/MaedMax_1597829') ).
cnf(eq_4,axiom,
implies(not(X),Y) = or(X,Y),
file('/tmp/MaedMax_1597829') ).
cnf(eq_5,axiom,
or(X,Y) = or(Y,X),
file('/tmp/MaedMax_1597829') ).
cnf(eq_6,axiom,
not(or(not(X),not(Y))) = and_star(X,Y),
file('/tmp/MaedMax_1597829') ).
cnf(eq_7,axiom,
not(truth) = falsehood,
file('/tmp/MaedMax_1597829') ).
cnf(eq_8,negated_conjecture,
and_star(x,falsehood) != falsehood,
file('/tmp/MaedMax_1597829') ).
cnf(eq_9,plain,
and_star(X,Y) = not(implies(not(not(X)),not(Y))),
inference(rw,[status(thm)],[eq_6,eq_4]) ).
cnf(eq_10,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_11,plain,
implies(X,implies(implies(X,x102),implies(truth,x102))) = truth,
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_12,plain,
implies(implies(not(X),not(truth)),X) = truth,
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_13,plain,
implies(X,X) = implies(implies(X,truth),truth),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_14,plain,
truth = implies(X,implies(implies(X,Y),Y)),
inference(rw,[status(thm)],[eq_11,eq_0]) ).
cnf(eq_15,plain,
truth = implies(implies(truth,Y),Y),
inference(cp,[status(thm)],[eq_14,eq_0]) ).
cnf(eq_16,plain,
implies(X,implies(X,X)) = truth,
inference(cp,[status(thm)],[eq_13,eq_14]) ).
cnf(eq_17,plain,
truth = implies(X,X),
inference(rw,[status(thm)],[eq_15,eq_0]) ).
cnf(eq_18,plain,
truth = implies(X,implies(X,X)),
eq_16 ).
cnf(eq_19,plain,
truth = implies(X,truth),
inference(rw,[status(thm)],[eq_18,eq_17]) ).
cnf(eq_20,plain,
implies(not(not(X)),X) = truth,
inference(cp,[status(thm)],[eq_10,eq_17]) ).
cnf(eq_21,plain,
implies(truth,not(not(truth))) = truth,
inference(cp,[status(thm)],[eq_20,eq_12]) ).
cnf(eq_22,plain,
truth = not(not(truth)),
inference(rw,[status(thm)],[eq_21,eq_0]) ).
cnf(eq_23,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)],[eq_8,eq_7]),eq_9]),eq_22]),eq_19]),eq_7]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL157-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_maedmax %d %s
% 0.09/0.36 % Computer : n006.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 19:48:16 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.18/0.54 % SZS status Unsatisfiable
% 0.18/0.54 % SZS output start CNFRefutation for /tmp/MaedMax_1597829
% See solution above
% 0.18/0.54
%------------------------------------------------------------------------------