%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL014+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 : n004.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 02:03:34 PM UTC 2026
% Result : Theorem 0.20s 5.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL014+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.43 % Computer : n004.cluster.edu
% 0.16/5.43 % Model : x86_64 x86_64
% 0.16/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43 % Memory : 8046.5625MB
% 0.16/5.43 % OS : Linux 6.8.0-71-generic
% 0.16/5.43 % CPULimit : 300
% 0.16/5.43 % WCLimit : 300
% 0.16/5.43 % DateTime : Mon Sep 21 03:59:11 UTC 2026
% 0.16/5.43 % CPUTime :
% 0.16/5.44 % Drodi V4.1.1
% 0.20/5.51 % Refutation found
% 0.20/5.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/5.51 % SZS output start CNFRefutation for theBenchmark
% 0.20/5.51 fof(f5,axiom,(
% 0.20/5.51 (! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) )),
% 0.20/5.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/5.51 fof(f6,axiom,(
% 0.20/5.51 (! [X0] : composition(X0,one) = X0 )),
% 0.20/5.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/5.51 fof(f8,axiom,(
% 0.20/5.51 (! [X0] : converse(converse(X0)) = X0 )),
% 0.20/5.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/5.51 fof(f10,axiom,(
% 0.20/5.51 (! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) )),
% 0.20/5.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/5.51 fof(f14,conjecture,(
% 0.20/5.51 (! [X0] :( composition(X0,one) = X0& composition(one,X0) = X0 ) )),
% 0.20/5.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/5.51 fof(f15,negated_conjecture,(
% 0.20/5.51 ~((! [X0] :( composition(X0,one) = X0& composition(one,X0) = X0 ) ))),
% 0.20/5.51 inference(negated_conjecture,[status(cth)],[f14])).
% 0.20/5.51 fof(f20,plain,(
% 0.20/5.51 ![X0,X1,X2]: (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2))),
% 0.20/5.51 inference(cnf_transformation,[status(thm)],[f5])).
% 0.20/5.51 fof(f21,plain,(
% 0.20/5.51 ![X0]: (composition(X0,one)=X0)),
% 0.20/5.51 inference(cnf_transformation,[status(thm)],[f6])).
% 0.20/5.51 fof(f23,plain,(
% 0.20/5.51 ![X0]: (converse(converse(X0))=X0)),
% 0.20/5.51 inference(cnf_transformation,[status(thm)],[f8])).
% 0.20/5.51 fof(f25,plain,(
% 0.20/5.51 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 0.20/5.51 inference(cnf_transformation,[status(thm)],[f10])).
% 0.20/5.51 fof(f29,plain,(
% 0.20/5.51 (?[X0]: (~composition(X0,one)=X0|~composition(one,X0)=X0))),
% 0.20/5.51 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.20/5.51 fof(f30,plain,(
% 0.20/5.51 (?[X0]: ~composition(X0,one)=X0)|(?[X0]: ~composition(one,X0)=X0)),
% 0.20/5.51 inference(miniscoping,[status(thm)],[f29])).
% 0.20/5.51 fof(f31,plain,(
% 0.20/5.51 ~composition(sK0_skl,one)=sK0_skl|~composition(one,sK1_skl)=sK1_skl),
% 0.20/5.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X0,sK0_skl),skolemize(X0,sK1_skl)],[f30])).
% 0.20/5.51 fof(f32,plain,(
% 0.20/5.51 ~composition(sK0_skl,one)=sK0_skl|~composition(one,sK1_skl)=sK1_skl),
% 0.20/5.51 inference(cnf_transformation,[status(thm)],[f31])).
% 0.20/5.51 fof(f33,definition,(
% 0.20/5.51 sQ0_spl <=> (composition(sK0_skl,one)=sK0_skl)),
% 0.20/5.51 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.20/5.51 fof(f35,plain,(
% 0.20/5.51 ~composition(sK0_skl,one)=sK0_skl|sQ0_spl),
% 0.20/5.51 inference(component_clause,[status(thm)],[f33])).
% 0.20/5.51 fof(f36,definition,(
% 0.20/5.51 sQ1_spl <=> (composition(one,sK1_skl)=sK1_skl)),
% 0.20/5.51 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.20/5.51 fof(f38,plain,(
% 0.20/5.51 ~composition(one,sK1_skl)=sK1_skl|sQ1_spl),
% 0.20/5.51 inference(component_clause,[status(thm)],[f36])).
% 0.20/5.51 fof(f39,plain,(
% 0.20/5.51 ~sQ0_spl|~sQ1_spl),
% 0.20/5.51 inference(split_clause,[status(thm)],[f32,f33,f36])).
% 0.20/5.51 fof(f41,plain,(
% 0.20/5.51 ~sK0_skl=sK0_skl|sQ0_spl),
% 0.20/5.51 inference(forward_demodulation,[status(thm)],[f21,f35])).
% 0.20/5.51 fof(f42,plain,(
% 0.20/5.51 $false|sQ0_spl),
% 0.20/5.51 inference(trivial_equality_resolution,[status(thm)],[f41])).
% 0.20/5.51 fof(f43,plain,(
% 0.20/5.51 sQ0_spl),
% 0.20/5.51 inference(contradiction_clause,[status(thm)],[f42])).
% 0.20/5.52 fof(f77,plain,(
% 0.20/5.52 ![X0,X1]: (composition(X0,composition(one,X1))=composition(X0,X1))),
% 0.20/5.52 inference(paramodulation,[status(thm)],[f21,f20])).
% 0.20/5.52 fof(f115,plain,(
% 0.20/5.52 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 0.20/5.52 inference(paramodulation,[status(thm)],[f23,f25])).
% 0.20/5.52 fof(f956,plain,(
% 0.20/5.52 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 0.20/5.52 inference(paramodulation,[status(thm)],[f21,f115])).
% 0.20/5.52 fof(f977,plain,(
% 0.20/5.52 ![X0]: (X0=composition(converse(one),X0))),
% 0.20/5.52 inference(forward_demodulation,[status(thm)],[f23,f956])).
% 0.20/5.52 fof(f989,plain,(
% 0.20/5.52 ![X0]: (composition(one,X0)=composition(converse(one),X0))),
% 0.20/5.52 inference(paramodulation,[status(thm)],[f77,f977])).
% 0.20/5.52 fof(f1006,plain,(
% 0.20/5.52 ~sK1_skl=sK1_skl|sQ1_spl),
% 0.20/5.52 inference(backward_demodulation,[status(thm)],[f1010,f38])).
% 0.20/5.52 fof(f1010,plain,(
% 0.20/5.52 ![X0]: (composition(one,X0)=X0)),
% 0.20/5.52 inference(forward_demodulation,[status(thm)],[f977,f989])).
% 0.20/5.52 fof(f1028,plain,(
% 0.20/5.52 $false|sQ1_spl),
% 0.20/5.52 inference(trivial_equality_resolution,[status(thm)],[f1006])).
% 0.20/5.52 fof(f1029,plain,(
% 0.20/5.52 sQ1_spl),
% 0.20/5.52 inference(contradiction_clause,[status(thm)],[f1028])).
% 0.20/5.52 fof(f1030,plain,(
% 0.20/5.52 $false),
% 0.20/5.52 inference(sat_refutation,[status(thm)],[f39,f43,f1029])).
% 0.20/5.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/5.54 % Elapsed time: 0.101040 seconds
% 0.20/5.54 % CPU time: 0.573085 seconds
% 0.20/5.54 % Total memory used: 76.848 MB
% 0.20/5.54 % Net memory used: 76.526 MB
%------------------------------------------------------------------------------