%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LCL138-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n012.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 12:38:40 PM UTC 2026
% Result : Unsatisfiable 131.12s 131.42s
% Output : CNFRefutation 131.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 3 RR)
% Number of literals : 16 ( 15 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; 6 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = implies(truth,X),
file('/tmp/MaedMax_1340118') ).
cnf(eq_1,axiom,
truth = implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))),
file('/tmp/MaedMax_1340118') ).
cnf(eq_2,axiom,
implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/tmp/MaedMax_1340118') ).
cnf(eq_3,negated_conjecture,
implies(x,implies(y,z)) != implies(y,implies(x,z)),
file('/tmp/MaedMax_1340118') ).
cnf(eq_4,plain,
implies(truth,implies(implies(implies(implies(Y,Z),implies(X,Z)),x102),implies(implies(X,Y),x102))) = truth,
inference(cp,[status(thm)],[eq_1,eq_1]) ).
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,
truth = implies(X,implies(implies(X,Y),Y)),
inference(rw,[status(thm)],[eq_5,eq_0]) ).
cnf(eq_7,plain,
truth = implies(implies(implies(implies(X,Y),implies(Z,Y)),x3),implies(implies(Z,X),x3)),
inference(rw,[status(thm)],[eq_4,eq_0]) ).
cnf(eq_8,plain,
implies(truth,implies(implies(implies(implies(X,Y),Y),x102),implies(X,x102))) = truth,
inference(cp,[status(thm)],[eq_6,eq_1]) ).
cnf(eq_9,plain,
truth = implies(implies(implies(implies(X,Y),Y),Z),implies(X,Z)),
inference(rw,[status(thm)],[eq_8,eq_0]) ).
cnf(eq_10,plain,
implies(truth,implies(implies(x102,implies(X,Y)),implies(X,implies(x102,Y)))) = truth,
inference(cp,[status(thm)],[eq_9,eq_7]) ).
cnf(eq_11,plain,
truth = implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z))),
inference(rw,[status(thm)],[eq_10,eq_0]) ).
cnf(eq_12,plain,
implies(truth,implies(Y,implies(X,Z))) = implies(implies(implies(Y,implies(X,Z)),implies(X,implies(Y,Z))),implies(X,implies(Y,Z))),
inference(cp,[status(thm)],[eq_11,eq_2]) ).
cnf(eq_13,plain,
implies(X,implies(Y,Z)) = implies(Y,implies(X,Z)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_0]),eq_11]),eq_0]) ).
cnf(eq_14,negated_conjecture,
implies(y,implies(x,z)) != implies(y,implies(x,z)),
inference(cp,[status(thm)],[eq_13,eq_3]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL138-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_maedmax %d %s
% 0.07/0.33 % Computer : n012.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sat Sep 5 00:10:27 UTC 2026
% 0.07/0.33 % CPUTime :
% 131.12/131.42 % SZS status Unsatisfiable
% 131.12/131.42 % SZS output start CNFRefutation for /tmp/MaedMax_1340118
% See solution above
% 131.12/131.42
%------------------------------------------------------------------------------