%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW400-1 : 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 : n015.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 03:09:05 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW400-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Mon Sep 21 09:54:06 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.48 % Refutation found
% 0.08/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.48 fof(f1,axiom,(
% 0.08/0.48 (![S,T,Sigma]: (sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) ))),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f2,axiom,(
% 0.08/0.48 (![X,Sigma]: (sep(lseg(X,X),Sigma) = Sigma ))),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f8,axiom,(
% 0.08/0.48 (![X,Y,Z,Sigma]: (( ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma)))| X = Y| heap(sep(lseg(X,Z),Sigma)) ) ))),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f9,axiom,(
% 0.08/0.48 (![X,Y,Sigma]: (( ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma)))| heap(sep(lseg(X,nil),Sigma)) ) ))),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f13,hypothesis,(
% 0.08/0.48 nil != x2 ),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f14,hypothesis,(
% 0.08/0.48 heap(sep(next(x2,nil),sep(lseg(x1,x2),emp))) ),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f15,negated_conjecture,(
% 0.08/0.48 ~ heap(sep(lseg(x1,nil),emp)) ),
% 0.08/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.48 fof(f16,plain,(
% 0.08/0.48 ![X0,X1,X2]: (sep(X0,sep(X1,X2))=sep(X1,sep(X0,X2)))),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.48 fof(f17,plain,(
% 0.08/0.48 ![X0,X1]: (sep(lseg(X0,X0),X1)=X1)),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.48 fof(f26,plain,(
% 0.08/0.48 ![X,Z,Sigma]: ((![Y]: (~heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma)))|X=Y))|heap(sep(lseg(X,Z),Sigma)))),
% 0.08/0.48 inference(miniscoping,[status(thm)],[f8])).
% 0.08/0.48 fof(f27,plain,(
% 0.08/0.48 ![X0,X1,X2,X3]: (~heap(sep(next(X0,X1),sep(lseg(X1,X2),X3)))|X0=X1|heap(sep(lseg(X0,X2),X3)))),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f26])).
% 0.08/0.48 fof(f28,plain,(
% 0.08/0.48 ![X,Sigma]: ((![Y]: ~heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))))|heap(sep(lseg(X,nil),Sigma)))),
% 0.08/0.48 inference(miniscoping,[status(thm)],[f9])).
% 0.08/0.48 fof(f29,plain,(
% 0.08/0.48 ![X0,X1,X2]: (~heap(sep(lseg(X0,X1),sep(lseg(X1,nil),X2)))|heap(sep(lseg(X0,nil),X2)))),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f28])).
% 0.08/0.48 fof(f35,plain,(
% 0.08/0.48 ~nil=x2),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f13])).
% 0.08/0.48 fof(f36,plain,(
% 0.08/0.48 heap(sep(next(x2,nil),sep(lseg(x1,x2),emp)))),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f14])).
% 0.08/0.48 fof(f37,plain,(
% 0.08/0.48 ~heap(sep(lseg(x1,nil),emp))),
% 0.08/0.48 inference(cnf_transformation,[status(thm)],[f15])).
% 0.08/0.48 fof(f367,plain,(
% 0.08/0.48 ![X0,X1,X2]: (~heap(sep(lseg(X0,nil),sep(lseg(X1,X0),X2)))|heap(sep(lseg(X1,nil),X2)))),
% 0.08/0.48 inference(paramodulation,[status(thm)],[f16,f29])).
% 0.08/0.48 fof(f651,plain,(
% 0.08/0.48 ![X0,X1,X2]: (~heap(sep(next(X0,X1),X2))|X0=X1|heap(sep(lseg(X0,X1),X2)))),
% 0.08/0.48 inference(paramodulation,[status(thm)],[f17,f27])).
% 0.08/0.48 fof(f756,plain,(
% 0.08/0.48 x2=nil|heap(sep(lseg(x2,nil),sep(lseg(x1,x2),emp)))),
% 0.08/0.48 inference(resolution,[status(thm)],[f651,f36])).
% 0.08/0.48 fof(f765,plain,(
% 0.08/0.48 heap(sep(lseg(x2,nil),sep(lseg(x1,x2),emp)))),
% 0.08/0.48 inference(forward_subsumption_resolution,[status(thm)],[f756,f35])).
% 0.08/0.48 fof(f766,plain,(
% 0.08/0.48 heap(sep(lseg(x1,nil),emp))),
% 0.08/0.48 inference(resolution,[status(thm)],[f765,f367])).
% 0.08/0.48 fof(f767,plain,(
% 0.08/0.48 $false),
% 0.08/0.48 inference(forward_subsumption_resolution,[status(thm)],[f766,f37])).
% 0.08/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.49 % Elapsed time: 0.115516 seconds
% 0.08/0.49 % CPU time: 0.580277 seconds
% 0.08/0.49 % Total memory used: 108.030 MB
% 0.08/0.49 % Net memory used: 107.507 MB
%------------------------------------------------------------------------------