%------------------------------------------------------------------------------
% 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/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 : Theorem 0.12s 5.41s
% 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.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n019.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 03:57:40 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.12/5.41 % Refutation found
% 0.12/5.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/5.41 fof(f8,axiom,(
% 0.12/5.41 (! [X0] : converse(converse(X0)) = X0 )),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f9,axiom,(
% 0.12/5.41 (! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) )),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f14,conjecture,(
% 0.12/5.41 (! [X0,X1] :( ( join(X0,X1) = X1=> join(converse(X0),converse(X1)) = converse(X1) )& ( join(converse(X0),converse(X1)) = converse(X1)=> join(X0,X1) = X1 ) ) )),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f15,negated_conjecture,(
% 0.12/5.41 ~((! [X0,X1] :( ( join(X0,X1) = X1=> join(converse(X0),converse(X1)) = converse(X1) )& ( join(converse(X0),converse(X1)) = converse(X1)=> join(X0,X1) = X1 ) ) ))),
% 0.12/5.41 inference(negated_conjecture,[status(cth)],[f14])).
% 0.12/5.41 fof(f23,plain,(
% 0.12/5.41 ![X0]: (converse(converse(X0))=X0)),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/5.41 fof(f24,plain,(
% 0.12/5.41 ![X0,X1]: (converse(join(X0,X1))=join(converse(X0),converse(X1)))),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/5.41 fof(f29,plain,(
% 0.12/5.41 (?[X0,X1]: ((join(X0,X1)=X1&~join(converse(X0),converse(X1))=converse(X1))|(join(converse(X0),converse(X1))=converse(X1)&~join(X0,X1)=X1)))),
% 0.12/5.41 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.12/5.41 fof(f30,definition,(
% 0.12/5.41 ![X0,X1]: (sP0_prd(X1,X0)<=>(join(X0,X1)=X1&~join(converse(X0),converse(X1))=converse(X1)))),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.12/5.41 fof(f31,plain,(
% 0.12/5.41 ?[X0,X1]: (sP0_prd(X1,X0)|(join(converse(X0),converse(X1))=converse(X1)&~join(X0,X1)=X1))),
% 0.12/5.41 inference(formula_renaming,[status(thm)],[f29,f30])).
% 0.12/5.41 fof(f32,plain,(
% 0.12/5.41 (?[X0,X1]: sP0_prd(X1,X0))|(?[X0,X1]: (join(converse(X0),converse(X1))=converse(X1)&~join(X0,X1)=X1))),
% 0.12/5.41 inference(miniscoping,[status(thm)],[f31])).
% 0.12/5.41 fof(f33,plain,(
% 0.12/5.41 sP0_prd(sK1_skl,sK0_skl)|(join(converse(sK2_skl),converse(sK3_skl))=converse(sK3_skl)&~join(sK2_skl,sK3_skl)=sK3_skl)),
% 0.12/5.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl),skolemize(X0,sK2_skl),skolemize(X1,sK3_skl)],[f32])).
% 0.12/5.41 fof(f34,plain,(
% 0.12/5.41 sP0_prd(sK1_skl,sK0_skl)|join(converse(sK2_skl),converse(sK3_skl))=converse(sK3_skl)),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/5.41 fof(f35,plain,(
% 0.12/5.41 sP0_prd(sK1_skl,sK0_skl)|~join(sK2_skl,sK3_skl)=sK3_skl),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/5.41 fof(f36,plain,(
% 0.12/5.41 ![X0,X1]: ((~sP0_prd(X1,X0)|(join(X0,X1)=X1&~join(converse(X0),converse(X1))=converse(X1)))&(sP0_prd(X1,X0)|(~join(X0,X1)=X1|join(converse(X0),converse(X1))=converse(X1))))),
% 0.12/5.41 inference(NNF_transformation,[status(thm)],[f30])).
% 0.12/5.41 fof(f37,plain,(
% 0.12/5.41 (![X0,X1]: (~sP0_prd(X1,X0)|(join(X0,X1)=X1&~join(converse(X0),converse(X1))=converse(X1))))&(![X0,X1]: (sP0_prd(X1,X0)|(~join(X0,X1)=X1|join(converse(X0),converse(X1))=converse(X1))))),
% 0.12/5.41 inference(miniscoping,[status(thm)],[f36])).
% 0.12/5.41 fof(f38,plain,(
% 0.12/5.41 ![X0,X1]: (~sP0_prd(X0,X1)|join(X1,X0)=X0)),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.12/5.41 fof(f39,plain,(
% 0.12/5.41 ![X0,X1]: (~sP0_prd(X0,X1)|~join(converse(X1),converse(X0))=converse(X0))),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.12/5.41 fof(f41,definition,(
% 0.12/5.41 sQ0_spl <=> (sP0_prd(sK1_skl,sK0_skl))),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f42,plain,(
% 0.12/5.41 sP0_prd(sK1_skl,sK0_skl)|~sQ0_spl),
% 0.12/5.41 inference(component_clause,[status(thm)],[f41])).
% 0.12/5.41 fof(f44,definition,(
% 0.12/5.41 sQ1_spl <=> (join(converse(sK2_skl),converse(sK3_skl))=converse(sK3_skl))),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f45,plain,(
% 0.12/5.41 join(converse(sK2_skl),converse(sK3_skl))=converse(sK3_skl)|~sQ1_spl),
% 0.12/5.41 inference(component_clause,[status(thm)],[f44])).
% 0.12/5.41 fof(f47,plain,(
% 0.12/5.41 sQ0_spl|sQ1_spl),
% 0.12/5.41 inference(split_clause,[status(thm)],[f34,f41,f44])).
% 0.12/5.41 fof(f48,definition,(
% 0.12/5.41 sQ2_spl <=> (join(sK2_skl,sK3_skl)=sK3_skl)),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f50,plain,(
% 0.12/5.41 ~join(sK2_skl,sK3_skl)=sK3_skl|sQ2_spl),
% 0.12/5.41 inference(component_clause,[status(thm)],[f48])).
% 0.12/5.41 fof(f51,plain,(
% 0.12/5.41 sQ0_spl|~sQ2_spl),
% 0.12/5.41 inference(split_clause,[status(thm)],[f35,f41,f48])).
% 0.12/5.41 fof(f52,plain,(
% 0.12/5.41 join(sK0_skl,sK1_skl)=sK1_skl|~sQ0_spl),
% 0.12/5.41 inference(resolution,[status(thm)],[f38,f42])).
% 0.12/5.41 fof(f114,plain,(
% 0.12/5.41 ![X0,X1]: (~sP0_prd(X0,X1)|~converse(join(X1,X0))=converse(X0))),
% 0.12/5.41 inference(backward_demodulation,[status(thm)],[f24,f39])).
% 0.12/5.41 fof(f133,plain,(
% 0.12/5.41 ~sP0_prd(sK1_skl,sK0_skl)|~converse(sK1_skl)=converse(sK1_skl)|~sQ0_spl),
% 0.12/5.41 inference(paramodulation,[status(thm)],[f52,f114])).
% 0.12/5.41 fof(f143,definition,(
% 0.12/5.41 sQ9_spl <=> (converse(sK1_skl)=converse(sK1_skl))),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f145,plain,(
% 0.12/5.41 ~converse(sK1_skl)=converse(sK1_skl)|sQ9_spl),
% 0.12/5.41 inference(component_clause,[status(thm)],[f143])).
% 0.12/5.41 fof(f146,plain,(
% 0.12/5.41 ~sQ0_spl|~sQ9_spl),
% 0.12/5.41 inference(split_clause,[status(thm)],[f133,f41,f143])).
% 0.12/5.41 fof(f147,plain,(
% 0.12/5.41 converse(join(sK2_skl,sK3_skl))=converse(sK3_skl)|~sQ1_spl),
% 0.12/5.41 inference(forward_demodulation,[status(thm)],[f24,f45])).
% 0.12/5.41 fof(f162,plain,(
% 0.12/5.41 converse(converse(sK3_skl))=join(sK2_skl,sK3_skl)|~sQ1_spl),
% 0.12/5.41 inference(paramodulation,[status(thm)],[f147,f23])).
% 0.12/5.41 fof(f175,plain,(
% 0.12/5.41 sK3_skl=join(sK2_skl,sK3_skl)|~sQ1_spl),
% 0.12/5.41 inference(forward_demodulation,[status(thm)],[f23,f162])).
% 0.12/5.41 fof(f176,plain,(
% 0.12/5.41 $false|sQ2_spl|~sQ1_spl),
% 0.12/5.41 inference(forward_subsumption_resolution,[status(thm)],[f175,f50])).
% 0.12/5.41 fof(f177,plain,(
% 0.12/5.41 sQ2_spl|~sQ1_spl),
% 0.12/5.41 inference(contradiction_clause,[status(thm)],[f176])).
% 0.12/5.41 fof(f178,plain,(
% 0.12/5.41 $false|sQ9_spl),
% 0.12/5.41 inference(trivial_equality_resolution,[status(thm)],[f145])).
% 0.12/5.41 fof(f179,plain,(
% 0.12/5.41 sQ9_spl),
% 0.12/5.41 inference(contradiction_clause,[status(thm)],[f178])).
% 0.12/5.41 fof(f180,plain,(
% 0.12/5.41 $false),
% 0.12/5.41 inference(sat_refutation,[status(thm)],[f47,f51,f146,f177,f179])).
% 0.12/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/5.42 % Elapsed time: 0.049386 seconds
% 0.12/5.42 % CPU time: 0.153473 seconds
% 0.12/5.42 % Total memory used: 86.270 MB
% 0.12/5.42 % Net memory used: 85.974 MB
%------------------------------------------------------------------------------