%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL133-1 : 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 : n002.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 10.13s 18.78s
% Output : CNFRefutation 10.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of clauses : 25 ( 25 unt; 0 nHn; 3 RR)
% Number of literals : 25 ( 24 equ; 2 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(lemma_antecedent,negated_conjecture,
implies(X0,X1) = implies(X1,X0) ).
cnf(prove_wajsberg_lemma,negated_conjecture,
x != y ).
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(X0,X1) = implies(X1,X0),
inference(clausification,[status(esa)],[lemma_antecedent]) ).
cnf(c1,plain,
x != y,
inference(clausification,[status(esa)],[prove_wajsberg_lemma]) ).
cnf(c2,plain,
implies(truth,X0) = X0,
inference(clausification,[status(esa)],[wajsberg_1]) ).
cnf(c3,plain,
implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
inference(clausification,[status(esa)],[wajsberg_2]) ).
cnf(c4,plain,
implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(clausification,[status(esa)],[wajsberg_3]) ).
cnf(d0,plain,
implies(X0,truth) = X0,
inference(superposition,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
implies(implies(implies(implies(X0,X1),X1),X0),truth) = truth,
inference(superposition,[status(thm)],[c3,c3]) ).
cnf(d2,plain,
implies(implies(implies(X0,X1),X1),X0) = truth,
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(demodulation,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
implies(X0,implies(X1,implies(X0,X1))) = truth,
inference(demodulation,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
truth = implies(X0,implies(truth,X0)),
inference(superposition,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
truth = implies(X0,X0),
inference(demodulation,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
implies(X1,implies(X0,X1)) = implies(implies(X1,X0),X0),
inference(demodulation,[status(thm)],[c4,c0]) ).
cnf(d8,plain,
implies(X0,implies(X1,X0)) = implies(X1,implies(X0,X1)),
inference(demodulation,[status(thm)],[d7,c0]) ).
cnf(d9,plain,
implies(X0,implies(truth,X0)) = implies(X0,truth),
inference(superposition,[status(thm)],[d8,c2]) ).
cnf(d10,plain,
implies(X0,X0) = implies(X0,truth),
inference(demodulation,[status(thm)],[d9,c2]) ).
cnf(d11,plain,
truth = implies(X0,truth),
inference(demodulation,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
truth = X0,
inference(superposition,[status(thm)],[d11,d0]) ).
cnf(d13,plain,
X0 = X1,
inference(superposition,[status(thm)],[d12,d12]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d13,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL133-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/15.68 % Computer : n002.cluster.edu
% 0.18/15.68 % Model : x86_64 x86_64
% 0.18/15.68 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/15.68 % Memory : 8046.5625MB
% 0.18/15.68 % OS : Linux 6.8.0-71-generic
% 0.18/15.68 % CPULimit : 300
% 0.18/15.68 % WCLimit : 300
% 0.18/15.68 % DateTime : Fri Sep 25 21:57:23 UTC 2026
% 0.18/15.68 % CPUTime :
% 0.18/15.68 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.13/18.78 % SZS status Unsatisfiable for theBenchmark.p
% 10.13/18.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------