%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL139-1 : 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 : n026.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 07:53:51 AM UTC 2026
% Result : Unsatisfiable 139.48s 21.72s
% Output : CNFRefutation 139.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of clauses : 50 ( 50 unt; 0 nHn; 3 RR)
% Number of literals : 50 ( 49 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 84 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_wajsberg_lemma,negated_conjecture,
implies(x,not(truth)) != not(x) ).
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(wajsberg_4,axiom,
implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth ).
cnf(c0,plain,
not(x) != implies(x,not(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(c4,plain,
implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
inference(clausification,[status(esa)],[wajsberg_4]) ).
cnf(d0,plain,
implies(implies(X2,implies(not(X0),not(X1))),implies(truth,implies(X2,implies(X1,X0)))) = truth,
inference(superposition,[status(thm)],[c4,c2]) ).
cnf(d1,plain,
implies(implies(X0,implies(not(X2),not(X1))),implies(X0,implies(X1,X2))) = truth,
inference(demodulation,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
inference(superposition,[status(thm)],[c1,c2]) ).
cnf(d3,plain,
implies(X1,implies(implies(X1,X0),X0)) = truth,
inference(demodulation,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
truth = implies(implies(truth,X0),X0),
inference(superposition,[status(thm)],[d3,c1]) ).
cnf(d5,plain,
truth = implies(X0,X0),
inference(demodulation,[status(thm)],[d4,c1]) ).
cnf(d6,plain,
implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[status(thm)],[c1,c3]) ).
cnf(d7,plain,
implies(X0,implies(X0,X0)) = truth,
inference(superposition,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
implies(X0,truth) = truth,
inference(demodulation,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
implies(implies(X1,truth),implies(X0,implies(X1,X0))) = truth,
inference(superposition,[status(thm)],[c1,c2]) ).
cnf(d10,plain,
implies(truth,implies(X1,implies(X0,X1))) = truth,
inference(demodulation,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
implies(X0,implies(X1,X0)) = truth,
inference(demodulation,[status(thm)],[d10,c1]) ).
cnf(d12,plain,
implies(truth,implies(not(X0),implies(X0,X1))) = truth,
inference(superposition,[status(thm)],[d11,d1]) ).
cnf(d13,plain,
implies(not(X0),implies(X0,X1)) = truth,
inference(demodulation,[status(thm)],[d12,c1]) ).
cnf(d14,plain,
implies(implies(implies(X0,X1),not(X0)),not(X0)) = implies(truth,implies(X0,X1)),
inference(superposition,[status(thm)],[d13,c3]) ).
cnf(d15,plain,
implies(implies(implies(X0,X1),not(X0)),not(X0)) = implies(X0,X1),
inference(demodulation,[status(thm)],[d14,c1]) ).
cnf(d16,plain,
implies(implies(implies(implies(X1,X2),implies(X0,X2)),implies(X0,X1)),implies(X0,X1)) = implies(truth,implies(implies(X1,X2),implies(X0,X2))),
inference(superposition,[status(thm)],[c2,c3]) ).
cnf(d17,plain,
implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X2,X0)),implies(X2,X0)) = implies(implies(X0,X1),implies(X2,X1)),
inference(demodulation,[status(thm)],[d16,c1]) ).
cnf(d18,plain,
implies(implies(implies(implies(X1,X0),implies(X0,X0)),implies(X0,X0)),implies(X1,X0)) = implies(implies(X0,X0),implies(X1,X0)),
inference(superposition,[status(thm)],[c3,d17]) ).
cnf(d19,plain,
implies(implies(implies(implies(X1,X0),truth),implies(X0,X0)),implies(X1,X0)) = implies(implies(X0,X0),implies(X1,X0)),
inference(demodulation,[status(thm)],[d18,d5]) ).
cnf(d20,plain,
implies(implies(truth,implies(X1,X1)),implies(X0,X1)) = implies(implies(X1,X1),implies(X0,X1)),
inference(demodulation,[status(thm)],[d19,d8]) ).
cnf(d21,plain,
implies(implies(X0,X0),implies(X1,X0)) = implies(implies(X0,X0),implies(X1,X0)),
inference(demodulation,[status(thm)],[d20,c1]) ).
cnf(d22,plain,
implies(truth,implies(X1,X0)) = implies(implies(X0,X0),implies(X1,X0)),
inference(demodulation,[status(thm)],[d21,d5]) ).
cnf(d23,plain,
implies(X0,X1) = implies(implies(X1,X1),implies(X0,X1)),
inference(demodulation,[status(thm)],[d22,c1]) ).
cnf(d24,plain,
implies(X1,X0) = implies(truth,implies(X1,X0)),
inference(demodulation,[status(thm)],[d23,d5]) ).
cnf(d25,plain,
implies(X0,X1) = implies(X0,X1),
inference(demodulation,[status(thm)],[d24,c1]) ).
cnf(d26,plain,
implies(truth,implies(implies(implies(X1,X0),X2),implies(implies(not(X0),not(X1)),X2))) = truth,
inference(superposition,[status(thm)],[c4,c2]) ).
cnf(d27,plain,
implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2)) = truth,
inference(demodulation,[status(thm)],[d26,c1]) ).
cnf(d28,plain,
implies(implies(X0,X0),X0) = implies(truth,X0),
inference(superposition,[status(thm)],[d5,c3]) ).
cnf(d29,plain,
implies(truth,X0) = implies(truth,X0),
inference(demodulation,[status(thm)],[d28,d5]) ).
cnf(d30,plain,
X0 = implies(truth,X0),
inference(demodulation,[status(thm)],[d29,c1]) ).
cnf(d31,plain,
implies(not(truth),X0) = truth,
inference(superposition,[status(thm)],[d30,d13]) ).
cnf(d32,plain,
implies(implies(X0,not(truth)),not(truth)) = implies(truth,X0),
inference(superposition,[status(thm)],[d31,c3]) ).
cnf(d33,plain,
implies(implies(X0,not(truth)),not(truth)) = X0,
inference(demodulation,[status(thm)],[d32,c1]) ).
cnf(d34,plain,
implies(implies(implies(truth,X0),not(truth)),not(X0)) = truth,
inference(superposition,[status(thm)],[d33,d27]) ).
cnf(d35,plain,
implies(implies(X0,not(truth)),not(X0)) = truth,
inference(demodulation,[status(thm)],[d34,c1]) ).
cnf(d36,plain,
truth = implies(implies(X0,not(truth)),not(X0)),
inference(superposition,[status(thm)],[d35,d25]) ).
cnf(d37,plain,
implies(truth,not(X0)) = implies(X0,not(truth)),
inference(superposition,[status(thm)],[d36,d15]) ).
cnf(d38,plain,
not(X0) = implies(X0,not(truth)),
inference(demodulation,[status(thm)],[d37,c1]) ).
cnf(d39,plain,
$false,
inference(resolution,[status(thm)],[d38,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL139-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 21:57:26 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 139.48/21.72 % SZS status Unsatisfiable for theBenchmark.p
% 139.48/21.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------