%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : REL049-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 12:33:34 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.44s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 9 RR)
% Number of literals : 23 ( 22 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 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 : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
join(join(sk1,sk3),sk2) != sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_16) ).
cnf(c2,axiom,
join(sk3,sk2) = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c3,axiom,
join(sk1,sk2) = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c4,plain,
sk2 = join(sk1,sk2),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
join(sk3,sk2) = join(sk1,sk2),
inference(transitivity,[status(thm)],[c2,c4]) ).
cnf(c6,plain,
join(sk1,sk2) = join(sk3,sk2),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,plain,
join(join(sk1,sk2),X) = join(join(sk3,sk2),X),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,axiom,
join(A,B) = join(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
cnf(c9,plain,
join(X,join(sk3,sk2)) = join(join(sk3,sk2),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
join(join(sk3,sk2),X) = join(X,join(sk3,sk2)),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,axiom,
join(A2,join(B2,C)) = join(join(A2,B2),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
cnf(c12,plain,
join(X,join(sk3,sk2)) = join(join(X,sk3),sk2),
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
join(join(sk3,sk2),X) = join(join(X,sk3),sk2),
inference(transitivity,[status(thm)],[c10,c12]) ).
cnf(c14,plain,
join(join(sk1,sk2),X) = join(join(X,sk3),sk2),
inference(transitivity,[status(thm)],[c7,c13]) ).
cnf(c15,plain,
join(join(X,sk3),sk2) = join(join(sk1,sk2),X),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,plain,
join(join(sk1,sk2),X) = join(sk2,X),
inference(congruence,[status(thm)],[c3]) ).
cnf(c17,plain,
join(X,sk2) = join(sk2,X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c18,plain,
join(sk2,X) = join(X,sk2),
inference(symmetry,[status(thm)],[c17]) ).
cnf(c19,plain,
join(join(sk1,sk2),X) = join(X,sk2),
inference(transitivity,[status(thm)],[c16,c18]) ).
cnf(c20,plain,
join(join(X,sk3),sk2) = join(X,sk2),
inference(transitivity,[status(thm)],[c15,c19]) ).
cnf(c21,plain,
join(join(sk1,sk3),sk2) = join(sk1,sk2),
inference(substitution,[status(thm)],[c20]) ).
cnf(c22,plain,
join(join(sk1,sk3),sk2) = sk2,
inference(transitivity,[status(thm)],[c21,c3]) ).
cnf(c23,plain,
$false,
inference(resolution,[status(thm)],[c1,c22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL049-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n018.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 22:59:38 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.44 Command-line arguments: --flatten --complete-subsets
% 0.12/0.44
% 0.12/0.44 % SZS status Unsatisfiable
% 0.12/0.44
% 0.12/0.44 % SZS output start CNFRefutation
% See solution above
% 0.12/0.44
% 0.12/0.44 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------