%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : LCL115-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n010.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 01:14:05 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.60s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 3 RR)
% Number of literals : 20 ( 19 equ; 1 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
implies(not(implies(a,b)),not(b)) != truth,
file('theBenchmark.p',prove_mv_39) ).
cnf(c1,axiom,
implies(truth,X) = X,
file('LCL001-0.ax',wajsberg_1) ).
cnf(c2,axiom,
implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('LCL001-0.ax',wajsberg_3) ).
cnf(c3,plain,
implies(implies(X,truth),truth) = implies(X,X),
inference(equational,[status(thm)],[c1,c2]) ).
cnf(c4,axiom,
implies(implies(not(X),not(Y)),implies(Y,X)) = truth,
file('LCL001-0.ax',wajsberg_4) ).
cnf(c5,plain,
implies(implies(not(X),not(truth)),X) = truth,
inference(equational,[status(thm)],[c1,c4]) ).
cnf(c7,axiom,
implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
file('LCL001-0.ax',wajsberg_2) ).
cnf(c8,plain,
implies(X,implies(implies(X,Y),Y)) = truth,
inference(equational,[status(thm)],[c1,c7]) ).
cnf(c9,plain,
implies(X,X) = truth,
inference(equational,[status(thm)],[c1,c8]) ).
cnf(c10,plain,
implies(X,truth) = truth,
inference(equational,[status(thm)],[c3,c8,c9]) ).
cnf(c11,plain,
implies(X,implies(Y,X)) = truth,
inference(equational,[status(thm)],[c1,c7,c10]) ).
cnf(c17,plain,
implies(implies(implies(X,Y),Z),implies(Y,Z)) = truth,
inference(equational,[status(thm)],[c1,c7,c11]) ).
cnf(c18,plain,
implies(not(truth),X) = truth,
inference(equational,[status(thm)],[c1,c5,c17]) ).
cnf(c20,plain,
implies(not(X),implies(X,Y)) = truth,
inference(equational,[status(thm)],[c1,c4,c17]) ).
cnf(c33,plain,
implies(implies(X,Y),implies(implies(not(X),not(truth)),Y)) = truth,
inference(equational,[status(thm)],[c1,c5,c7]) ).
cnf(c34,plain,
implies(implies(X,not(truth)),not(X)) = truth,
inference(equational,[status(thm)],[c1,c2,c18,c33]) ).
cnf(c35,plain,
implies(X,not(truth)) = not(X),
inference(equational,[status(thm)],[c1,c2,c20,c34]) ).
cnf(c38,plain,
implies(not(implies(X,Y)),not(Y)) = truth,
inference(equational,[status(thm)],[c17,c35]) ).
cnf(g1,plain,
implies(not(implies(a,b)),not(b)) = truth,
inference(equational,[status(thm)],[c38]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL115-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_Leo-III %s %d THM
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 4 21:37:08 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.22/0.60 % SZS status Unsatisfiable
% 0.22/0.60 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------