%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW417-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 03:09:06 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW417-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n014.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 09:51:50 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.49 % Refutation found
% 0.16/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.49 fof(f1,axiom,(
% 0.16/0.49 (![S,T,Sigma]: (sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) ))),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f8,axiom,(
% 0.16/0.49 (![X,Y,Z,Sigma]: (( ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma)))| X = Y| heap(sep(lseg(X,Z),Sigma)) ) ))),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f13,hypothesis,(
% 0.16/0.49 x2 != x1 ),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f14,hypothesis,(
% 0.16/0.49 heap(sep(lseg(x2,nil),sep(next(x1,x2),emp))) ),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f15,negated_conjecture,(
% 0.16/0.49 ~ heap(sep(lseg(x1,nil),emp)) ),
% 0.16/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f16,plain,(
% 0.16/0.49 ![X0,X1,X2]: (sep(X0,sep(X1,X2))=sep(X1,sep(X0,X2)))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/0.49 fof(f26,plain,(
% 0.16/0.49 ![X,Z,Sigma]: ((![Y]: (~heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma)))|X=Y))|heap(sep(lseg(X,Z),Sigma)))),
% 0.16/0.49 inference(miniscoping,[status(thm)],[f8])).
% 0.16/0.49 fof(f27,plain,(
% 0.16/0.49 ![X0,X1,X2,X3]: (~heap(sep(next(X0,X1),sep(lseg(X1,X2),X3)))|X0=X1|heap(sep(lseg(X0,X2),X3)))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f26])).
% 0.16/0.49 fof(f35,plain,(
% 0.16/0.49 ~x2=x1),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f13])).
% 0.16/0.49 fof(f36,plain,(
% 0.16/0.49 heap(sep(lseg(x2,nil),sep(next(x1,x2),emp)))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f14])).
% 0.16/0.49 fof(f37,plain,(
% 0.16/0.49 ~heap(sep(lseg(x1,nil),emp))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f15])).
% 0.16/0.49 fof(f137,plain,(
% 0.16/0.49 heap(sep(next(x1,x2),sep(lseg(x2,nil),emp)))),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f16,f36])).
% 0.16/0.49 fof(f350,plain,(
% 0.16/0.49 x1=x2|heap(sep(lseg(x1,nil),emp))),
% 0.16/0.49 inference(resolution,[status(thm)],[f137,f27])).
% 0.16/0.49 fof(f352,definition,(
% 0.16/0.49 sQ4_spl <=> (x1=x2)),
% 0.16/0.49 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.16/0.49 fof(f353,plain,(
% 0.16/0.49 x1=x2|~sQ4_spl),
% 0.16/0.49 inference(component_clause,[status(thm)],[f352])).
% 0.16/0.49 fof(f355,definition,(
% 0.16/0.49 sQ5_spl <=> (heap(sep(lseg(x1,nil),emp)))),
% 0.16/0.49 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.16/0.49 fof(f356,plain,(
% 0.16/0.49 heap(sep(lseg(x1,nil),emp))|~sQ5_spl),
% 0.16/0.49 inference(component_clause,[status(thm)],[f355])).
% 0.16/0.49 fof(f358,plain,(
% 0.16/0.49 sQ4_spl|sQ5_spl),
% 0.16/0.49 inference(split_clause,[status(thm)],[f350,f352,f355])).
% 0.16/0.49 fof(f363,plain,(
% 0.16/0.49 $false|~sQ4_spl),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f353,f35])).
% 0.16/0.49 fof(f364,plain,(
% 0.16/0.49 ~sQ4_spl),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f363])).
% 0.16/0.49 fof(f365,plain,(
% 0.16/0.49 $false|~sQ5_spl),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f356,f37])).
% 0.16/0.49 fof(f366,plain,(
% 0.16/0.49 ~sQ5_spl),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f365])).
% 0.16/0.49 fof(f367,plain,(
% 0.16/0.49 $false),
% 0.16/0.49 inference(sat_refutation,[status(thm)],[f358,f364,f366])).
% 0.16/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.50 % Elapsed time: 0.071192 seconds
% 0.16/0.50 % CPU time: 0.268781 seconds
% 0.16/0.50 % Total memory used: 53.066 MB
% 0.16/0.50 % Net memory used: 52.997 MB
%------------------------------------------------------------------------------