%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL003-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 : Thu Sep 24 02:03:31 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL003-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n003.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 03:59:01 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f1,axiom,(
% 0.11/0.38 (![A,B]: (join(A,B) = join(B,A) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f8,axiom,(
% 0.11/0.38 (![A]: (converse(converse(A)) = A ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f9,axiom,(
% 0.11/0.38 (![A,B]: (converse(join(A,B)) = join(converse(A),converse(B)) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f14,negated_conjecture,(
% 0.11/0.38 ( join(sk1,sk2) = sk2| join(converse(sk1),converse(sk2)) = converse(sk2) ) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f15,negated_conjecture,(
% 0.11/0.38 ( join(sk1,sk2) != sk2| join(converse(sk1),converse(sk2)) != converse(sk2) ) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f16,plain,(
% 0.11/0.38 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.38 fof(f23,plain,(
% 0.11/0.38 ![X0]: (converse(converse(X0))=X0)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.38 fof(f24,plain,(
% 0.11/0.38 ![X0,X1]: (converse(join(X0,X1))=join(converse(X0),converse(X1)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.38 fof(f29,plain,(
% 0.11/0.38 join(sk1,sk2)=sk2|join(converse(sk1),converse(sk2))=converse(sk2)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.38 fof(f30,plain,(
% 0.11/0.38 ~join(sk1,sk2)=sk2|~join(converse(sk1),converse(sk2))=converse(sk2)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.38 fof(f31,definition,(
% 0.11/0.38 sQ0_spl <=> (join(sk1,sk2)=sk2)),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f32,plain,(
% 0.11/0.38 join(sk1,sk2)=sk2|~sQ0_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f31])).
% 0.11/0.38 fof(f33,plain,(
% 0.11/0.38 ~join(sk1,sk2)=sk2|sQ0_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f31])).
% 0.11/0.38 fof(f34,definition,(
% 0.11/0.38 sQ1_spl <=> (join(converse(sk1),converse(sk2))=converse(sk2))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f35,plain,(
% 0.11/0.38 join(converse(sk1),converse(sk2))=converse(sk2)|~sQ1_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f34])).
% 0.11/0.38 fof(f36,plain,(
% 0.11/0.38 ~join(converse(sk1),converse(sk2))=converse(sk2)|sQ1_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f34])).
% 0.11/0.38 fof(f37,plain,(
% 0.11/0.38 sQ0_spl|sQ1_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f29,f31,f34])).
% 0.11/0.38 fof(f38,plain,(
% 0.11/0.38 ~sQ0_spl|~sQ1_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f30,f31,f34])).
% 0.11/0.38 fof(f40,plain,(
% 0.11/0.38 converse(sk2)=join(converse(sk2),converse(sk1))|~sQ1_spl),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f35,f16])).
% 0.11/0.38 fof(f47,plain,(
% 0.11/0.38 ~join(sk2,sk1)=sk2|sQ0_spl),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f16,f33])).
% 0.11/0.38 fof(f61,plain,(
% 0.11/0.38 converse(sk2)=converse(join(sk2,sk1))|~sQ1_spl),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f24,f40])).
% 0.11/0.38 fof(f72,plain,(
% 0.11/0.38 converse(converse(sk2))=join(sk2,sk1)|~sQ1_spl),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f61,f23])).
% 0.11/0.38 fof(f76,plain,(
% 0.11/0.38 sk2=join(sk2,sk1)|~sQ1_spl),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f23,f72])).
% 0.11/0.38 fof(f77,plain,(
% 0.11/0.38 $false|sQ0_spl|~sQ1_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f76,f47])).
% 0.11/0.38 fof(f78,plain,(
% 0.11/0.38 sQ0_spl|~sQ1_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f77])).
% 0.11/0.38 fof(f79,plain,(
% 0.11/0.38 ~converse(join(sk1,sk2))=converse(sk2)|sQ1_spl),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f24,f36])).
% 0.11/0.38 fof(f86,plain,(
% 0.11/0.38 ~converse(sk2)=converse(sk2)|~sQ0_spl|sQ1_spl),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f32,f79])).
% 0.11/0.38 fof(f87,plain,(
% 0.11/0.38 $false|~sQ0_spl|sQ1_spl),
% 0.11/0.38 inference(trivial_equality_resolution,[status(thm)],[f86])).
% 0.11/0.38 fof(f88,plain,(
% 0.11/0.38 ~sQ0_spl|sQ1_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f87])).
% 0.11/0.38 fof(f89,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(sat_refutation,[status(thm)],[f37,f38,f78,f88])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.40 % Elapsed time: 0.051389 seconds
% 0.11/0.40 % CPU time: 0.162965 seconds
% 0.11/0.40 % Total memory used: 101.537 MB
% 0.11/0.40 % Net memory used: 101.129 MB
%------------------------------------------------------------------------------