%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LCL110-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n027.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 12:38:36 PM UTC 2026
% Result : Unsatisfiable 0.43s 0.72s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of clauses : 28 ( 28 unt; 0 nHn; 8 RR)
% Number of literals : 28 ( 27 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = implies(truth,X),
file('/tmp/MaedMax_1108484') ).
cnf(eq_1,axiom,
truth = implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))),
file('/tmp/MaedMax_1108484') ).
cnf(eq_2,axiom,
implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/tmp/MaedMax_1108484') ).
cnf(eq_3,axiom,
truth = implies(implies(not(X),not(Y)),implies(Y,X)),
file('/tmp/MaedMax_1108484') ).
cnf(eq_4,negated_conjecture,
truth != implies(not(not(x)),x),
file('/tmp/MaedMax_1108484') ).
cnf(eq_5,plain,
implies(X,implies(implies(X,x102),implies(truth,x102))) = truth,
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_6,plain,
implies(implies(x100,truth),implies(X,implies(x100,X))) = truth,
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_7,plain,
implies(implies(not(X),not(truth)),X) = truth,
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_8,plain,
implies(X,X) = implies(implies(X,truth),truth),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_9,plain,
truth = implies(X,implies(implies(X,Y),Y)),
inference(rw,[status(thm)],[eq_5,eq_0]) ).
cnf(eq_10,plain,
truth = implies(implies(X,truth),implies(Y,implies(X,Y))),
eq_6 ).
cnf(eq_11,plain,
implies(implies(x100,implies(not(X),not(truth))),implies(truth,implies(x100,X))) = truth,
inference(cp,[status(thm)],[eq_7,eq_1]) ).
cnf(eq_12,plain,
implies(X,implies(X,X)) = truth,
inference(cp,[status(thm)],[eq_8,eq_9]) ).
cnf(eq_13,plain,
truth = implies(implies(not(truth),not(not(truth))),not(not(truth))),
inference(cp,[status(thm)],[eq_7,eq_2]) ).
cnf(eq_14,plain,
implies(implies(implies(truth,truth),truth),implies(x101,implies(truth,x101))) = truth,
inference(cp,[status(thm)],[eq_8,eq_10]) ).
cnf(eq_15,plain,
truth = implies(X,X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_0]),eq_0]),eq_0]),eq_0]) ).
cnf(eq_16,plain,
truth = implies(implies(X,implies(not(Y),not(truth))),implies(X,Y)),
inference(rw,[status(thm)],[eq_11,eq_0]) ).
cnf(eq_17,plain,
truth = implies(X,implies(X,X)),
eq_12 ).
cnf(eq_18,plain,
truth = implies(X,truth),
inference(rw,[status(thm)],[eq_17,eq_15]) ).
cnf(eq_19,plain,
truth = implies(X,implies(Y,X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_18]),eq_0]) ).
cnf(eq_20,plain,
implies(truth,implies(implies(not(not(truth)),not(not(x101))),x101)) = truth,
inference(cp,[status(thm)],[eq_3,eq_16]) ).
cnf(eq_21,plain,
implies(truth,implies(not(truth),x101)) = truth,
inference(cp,[status(thm)],[eq_19,eq_16]) ).
cnf(eq_22,plain,
truth = implies(implies(not(not(truth)),not(not(X))),X),
inference(rw,[status(thm)],[eq_20,eq_0]) ).
cnf(eq_23,plain,
truth = implies(not(truth),X),
inference(rw,[status(thm)],[eq_21,eq_0]) ).
cnf(eq_24,plain,
truth = not(not(truth)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_23]),eq_0]) ).
cnf(eq_25,plain,
truth = implies(not(not(X)),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_24]),eq_0]) ).
cnf(eq_26,negated_conjecture,
truth != truth,
inference(cp,[status(thm)],[eq_25,eq_4]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL110-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_maedmax %d %s
% 0.09/0.35 % Computer : n027.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 : Fri Sep 4 14:43:57 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.43/0.72 % SZS status Unsatisfiable
% 0.43/0.72 % SZS output start CNFRefutation for /tmp/MaedMax_1108484
% See solution above
% 0.43/0.72
%------------------------------------------------------------------------------