%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL135-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 : Sun Sep 27 07:53:50 AM UTC 2026
% Result : Unsatisfiable 12.57s 1.97s
% Output : CNFRefutation 12.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 3 RR)
% Number of literals : 19 ( 18 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_wajsberg_lemma,negated_conjecture,
implies(x,implies(y,x)) != truth ).
cnf(wajsberg_1,axiom,
implies(truth,X0) = X0 ).
cnf(wajsberg_2,axiom,
implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth ).
cnf(wajsberg_3,axiom,
implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0) ).
cnf(c0,plain,
implies(x,implies(y,x)) != truth,
inference(clausification,[status(esa)],[prove_wajsberg_lemma]) ).
cnf(c1,plain,
implies(truth,X0) = X0,
inference(clausification,[status(esa)],[wajsberg_1]) ).
cnf(c2,plain,
implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
inference(clausification,[status(esa)],[wajsberg_2]) ).
cnf(c3,plain,
implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(clausification,[status(esa)],[wajsberg_3]) ).
cnf(d0,plain,
implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
inference(superposition,[status(thm)],[c1,c2]) ).
cnf(d1,plain,
implies(X1,implies(implies(X1,X0),X0)) = truth,
inference(demodulation,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
truth = implies(implies(truth,X0),X0),
inference(superposition,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
truth = implies(X0,X0),
inference(demodulation,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[status(thm)],[c1,c3]) ).
cnf(d5,plain,
implies(X0,implies(X0,X0)) = truth,
inference(superposition,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
implies(X0,truth) = truth,
inference(demodulation,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
implies(implies(X1,truth),implies(X0,implies(X1,X0))) = truth,
inference(superposition,[status(thm)],[c1,c2]) ).
cnf(d8,plain,
implies(truth,implies(X1,implies(X0,X1))) = truth,
inference(demodulation,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
implies(X0,implies(X1,X0)) = truth,
inference(demodulation,[status(thm)],[d8,c1]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL135-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.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 25 21:54:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.57/1.97 % SZS status Unsatisfiable for theBenchmark.p
% 12.57/1.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------