%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LCL133-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 : Tue Sep 29 11:49:07 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.43s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of clauses : 44 ( 44 unt; 0 nHn; 3 RR)
% Number of literals : 44 ( 43 equ; 1 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 : 61 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).
cnf(c2,axiom,
implies(truth,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c3,plain,
X2 = implies(truth,X2),
inference(symmetry,[status(thm)],[c2]) ).
cnf(c4,plain,
implies(truth,implies(truth,X2)) = implies(truth,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c5,plain,
implies(truth,X2) = implies(truth,implies(truth,X2)),
inference(symmetry,[status(thm)],[c4]) ).
cnf(c6,plain,
X2 = implies(truth,X2),
inference(symmetry,[status(thm)],[c2]) ).
cnf(c7,plain,
implies(X2,X2) = implies(X2,implies(truth,X2)),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,negated_conjecture,
implies(X,Y) = implies(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_antecedent) ).
cnf(c9,plain,
implies(implies(X2,X3),X3) = implies(X3,implies(X2,X3)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
implies(X3,implies(X2,X3)) = implies(implies(X2,X3),X3),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,axiom,
implies(implies(X2,Y2),Y2) = implies(implies(Y2,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).
cnf(c12,plain,
implies(implies(X2,X3),X3) = implies(implies(X3,X2),X2),
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
implies(implies(X3,X2),X2) = implies(X2,implies(X3,X2)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c14,plain,
implies(implies(X2,X3),X3) = implies(X2,implies(X3,X2)),
inference(transitivity,[status(thm)],[c12,c13]) ).
cnf(c15,plain,
implies(X3,implies(X2,X3)) = implies(X2,implies(X3,X2)),
inference(transitivity,[status(thm)],[c10,c14]) ).
cnf(c16,plain,
implies(truth,implies(X2,truth)) = implies(X2,implies(truth,X2)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c17,plain,
implies(X2,implies(truth,X2)) = implies(truth,implies(X2,truth)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c18,plain,
implies(truth,X2) = implies(X2,truth),
inference(substitution,[status(thm)],[c8]) ).
cnf(c19,plain,
implies(X2,truth) = implies(truth,X2),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
implies(X2,truth) = X2,
inference(transitivity,[status(thm)],[c19,c2]) ).
cnf(c21,plain,
implies(truth,implies(X2,truth)) = implies(truth,X2),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
implies(truth,implies(X2,truth)) = X2,
inference(transitivity,[status(thm)],[c21,c2]) ).
cnf(c23,plain,
implies(X2,implies(truth,X2)) = X2,
inference(transitivity,[status(thm)],[c17,c22]) ).
cnf(c24,plain,
implies(X2,X2) = X2,
inference(transitivity,[status(thm)],[c7,c23]) ).
cnf(c25,plain,
implies(implies(X3,X2),implies(X3,X2)) = implies(X3,X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c26,plain,
implies(X3,X2) = implies(implies(X3,X2),implies(X3,X2)),
inference(symmetry,[status(thm)],[c25]) ).
cnf(c27,plain,
implies(X3,implies(X3,X2)) = implies(X3,implies(implies(X3,X2),implies(X3,X2))),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,plain,
X2 = implies(X2,X2),
inference(symmetry,[status(thm)],[c24]) ).
cnf(c29,plain,
implies(X3,implies(implies(X3,X2),implies(X3,X2))) = implies(implies(X3,X3),implies(implies(X3,X2),implies(X3,X2))),
inference(congruence,[status(thm)],[c28]) ).
cnf(c30,axiom,
implies(implies(X2,Y2),implies(implies(Y2,Z),implies(X2,Z))) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_2) ).
cnf(c31,plain,
implies(implies(X3,X3),implies(implies(X3,X2),implies(X3,X2))) = truth,
inference(substitution,[status(thm)],[c30]) ).
cnf(c32,plain,
implies(X3,implies(implies(X3,X2),implies(X3,X2))) = truth,
inference(transitivity,[status(thm)],[c29,c31]) ).
cnf(c33,plain,
implies(X3,implies(X3,X2)) = truth,
inference(transitivity,[status(thm)],[c27,c32]) ).
cnf(c34,plain,
implies(truth,implies(truth,X2)) = truth,
inference(substitution,[status(thm)],[c33]) ).
cnf(c35,plain,
implies(truth,implies(truth,X2)) = truth,
inference(substitution,[status(thm)],[c33]) ).
cnf(c36,plain,
truth = implies(truth,implies(truth,X2)),
inference(symmetry,[status(thm)],[c35]) ).
cnf(c37,plain,
implies(truth,implies(truth,X2)) = implies(truth,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c38,plain,
implies(truth,implies(truth,X2)) = X2,
inference(transitivity,[status(thm)],[c37,c2]) ).
cnf(c39,plain,
truth = X2,
inference(transitivity,[status(thm)],[c36,c38]) ).
cnf(c40,plain,
implies(truth,implies(truth,X2)) = X3,
inference(transitivity,[status(thm)],[c34,c39]) ).
cnf(c41,plain,
implies(truth,X2) = X3,
inference(transitivity,[status(thm)],[c5,c40]) ).
cnf(c42,plain,
X2 = X3,
inference(transitivity,[status(thm)],[c3,c41]) ).
cnf(c43,plain,
x = y,
inference(substitution,[status(thm)],[c42]) ).
cnf(c44,plain,
$false,
inference(resolution,[status(thm)],[c1,c43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL133-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.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 : Sun Sep 27 15:27:46 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43 Command-line arguments: --flatten --complete-subsets
% 0.10/0.43
% 0.10/0.43 % SZS status Unsatisfiable
% 0.10/0.43
% 0.10/0.43 % SZS output start CNFRefutation
% See solution above
% 0.10/0.44
% 0.10/0.44 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------