%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW427-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 03:09:07 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW427-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 09:52:14 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.40 % Drodi V4.1.1
% 0.12/0.51 % Refutation found
% 0.12/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.51 fof(f1,axiom,(
% 0.12/0.51 (![S,T,Sigma]: (sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f2,axiom,(
% 0.12/0.51 (![X,Sigma]: (sep(lseg(X,X),Sigma) = Sigma ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f7,axiom,(
% 0.12/0.51 (![X,Y,Z,Sigma]: (( ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma)))| X = Y| X = Z ) ))),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f13,hypothesis,(
% 0.12/0.51 x1 != x11 ),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f19,hypothesis,(
% 0.12/0.51 x7 != x9 ),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f20,hypothesis,(
% 0.12/0.51 x2 != x11 ),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f21,hypothesis,(
% 0.12/0.51 heap(sep(lseg(x10,x1),sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))) ),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f23,plain,(
% 0.12/0.51 ![X0,X1,X2]: (sep(X0,sep(X1,X2))=sep(X1,sep(X0,X2)))),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.51 fof(f24,plain,(
% 0.12/0.51 ![X0,X1]: (sep(lseg(X0,X0),X1)=X1)),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.51 fof(f31,plain,(
% 0.12/0.51 ![X,Z]: ((![Y]: ((![Sigma]: ~heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))))|X=Y))|X=Z)),
% 0.12/0.51 inference(miniscoping,[status(thm)],[f7])).
% 0.12/0.51 fof(f32,plain,(
% 0.12/0.51 ![X0,X1,X2,X3]: (~heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3)))|X0=X1|X0=X2)),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.51 fof(f42,plain,(
% 0.12/0.51 ~x1=x11),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.51 fof(f48,plain,(
% 0.12/0.51 ~x7=x9),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.51 fof(f49,plain,(
% 0.12/0.51 ~x2=x11),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.51 fof(f50,plain,(
% 0.12/0.51 heap(sep(lseg(x10,x1),sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp))))))))))),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.51 fof(f71,plain,(
% 0.12/0.51 ![X0,X1,X2,X3,X4]: (~heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X0,X3),X4))))|X0=X1|X0=X3)),
% 0.12/0.51 inference(paramodulation,[status(thm)],[f23,f32])).
% 0.12/0.51 fof(f111,plain,(
% 0.12/0.51 ![X0,X1,X2,X3,X4]: (~heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4))))|X1=X2|X1=X3)),
% 0.12/0.51 inference(paramodulation,[status(thm)],[f23,f71])).
% 0.12/0.51 fof(f149,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp))))))))))),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f50])).
% 0.12/0.51 fof(f150,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x10,x1),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp))))))))))),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f149])).
% 0.12/0.51 fof(f151,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp))))))))))),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f150])).
% 0.12/0.51 fof(f152,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x10,x1),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp))))))))))),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f151])).
% 0.12/0.51 fof(f153,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x10,x1),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp))))))))))),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f152])).
% 0.12/0.51 fof(f154,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x7,x10),sep(lseg(x10,x1),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp))))))))))),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f153])).
% 0.12/0.51 fof(f155,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp))))))))))),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f154])).
% 0.12/0.51 fof(f156,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x7,x10),sep(lseg(x10,x1),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp))))))))))),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f155])).
% 0.12/0.51 fof(f157,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x7,x10),sep(lseg(x11,x3),sep(lseg(x10,x1),sep(lseg(x11,x6),sep(lseg(x4,x5),emp))))))))))),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f156])).
% 0.12/0.51 fof(f158,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x7,x10),sep(lseg(x10,x1),sep(lseg(x11,x6),sep(lseg(x4,x5),emp))))))))))),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f157])).
% 0.12/0.51 fof(f159,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x7,x10),sep(lseg(x11,x6),sep(lseg(x10,x1),sep(lseg(x4,x5),emp))))))))))),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f158])).
% 0.12/0.51 fof(f160,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x10,x1),sep(lseg(x4,x5),emp))))))))))),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f159])).
% 0.12/0.51 fof(f161,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x4,x5),sep(lseg(x10,x1),emp))))))))))),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f160])).
% 0.12/0.51 fof(f162,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp))))))))))),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f161])).
% 0.12/0.51 fof(f227,plain,(
% 0.12/0.51 x9=x7|x9=x2),
% 0.12/0.51 inference(resolution,[status(thm)],[f162,f32])).
% 0.12/0.51 fof(f228,definition,(
% 0.12/0.51 sQ4_spl <=> (x9=x7)),
% 0.12/0.51 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.51 fof(f229,plain,(
% 0.12/0.51 x9=x7|~sQ4_spl),
% 0.12/0.51 inference(component_clause,[status(thm)],[f228])).
% 0.12/0.51 fof(f231,definition,(
% 0.12/0.51 sQ5_spl <=> (x9=x2)),
% 0.12/0.51 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.51 fof(f232,plain,(
% 0.12/0.51 x9=x2|~sQ5_spl),
% 0.12/0.51 inference(component_clause,[status(thm)],[f231])).
% 0.12/0.51 fof(f234,plain,(
% 0.12/0.51 sQ4_spl|sQ5_spl),
% 0.12/0.51 inference(split_clause,[status(thm)],[f227,f228,f231])).
% 0.12/0.51 fof(f235,plain,(
% 0.12/0.51 $false|~sQ4_spl),
% 0.12/0.51 inference(forward_subsumption_resolution,[status(thm)],[f229,f48])).
% 0.12/0.51 fof(f236,plain,(
% 0.12/0.51 ~sQ4_spl),
% 0.12/0.51 inference(contradiction_clause,[status(thm)],[f235])).
% 0.12/0.51 fof(f251,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x7),sep(lseg(x9,x9),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp))))))))))|~sQ5_spl),
% 0.12/0.51 inference(backward_demodulation,[status(thm)],[f232,f162])).
% 0.12/0.51 fof(f252,plain,(
% 0.12/0.51 ~x9=x11|~sQ5_spl),
% 0.12/0.51 inference(backward_demodulation,[status(thm)],[f232,f49])).
% 0.12/0.51 fof(f253,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x9),sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp))))))))))|~sQ5_spl),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f251])).
% 0.12/0.51 fof(f254,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x7,x10),sep(lseg(x10,x1),emp)))))))))|~sQ5_spl),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f24,f253])).
% 0.12/0.51 fof(f255,plain,(
% 0.12/0.51 x11=x9|x11=x7|~sQ5_spl),
% 0.12/0.51 inference(resolution,[status(thm)],[f254,f111])).
% 0.12/0.51 fof(f256,definition,(
% 0.12/0.51 sQ6_spl <=> (x11=x9)),
% 0.12/0.51 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.51 fof(f257,plain,(
% 0.12/0.51 x11=x9|~sQ6_spl),
% 0.12/0.51 inference(component_clause,[status(thm)],[f256])).
% 0.12/0.51 fof(f259,definition,(
% 0.12/0.51 sQ7_spl <=> (x11=x7)),
% 0.12/0.51 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.51 fof(f260,plain,(
% 0.12/0.51 x11=x7|~sQ7_spl),
% 0.12/0.51 inference(component_clause,[status(thm)],[f259])).
% 0.12/0.51 fof(f262,plain,(
% 0.12/0.51 sQ6_spl|sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(split_clause,[status(thm)],[f255,f256,f259,f231])).
% 0.12/0.51 fof(f263,plain,(
% 0.12/0.51 $false|~sQ5_spl|~sQ6_spl),
% 0.12/0.51 inference(forward_subsumption_resolution,[status(thm)],[f257,f252])).
% 0.12/0.51 fof(f264,plain,(
% 0.12/0.51 ~sQ5_spl|~sQ6_spl),
% 0.12/0.51 inference(contradiction_clause,[status(thm)],[f263])).
% 0.12/0.51 fof(f274,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x11,x10),sep(lseg(x10,x1),emp)))))))))|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(backward_demodulation,[status(thm)],[f260,f254])).
% 0.12/0.51 fof(f278,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x11,x10),sep(lseg(x10,x1),emp)))))))))|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f260,f274])).
% 0.12/0.51 fof(f279,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x11),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x11,x10),sep(lseg(x10,x1),emp)))))))))|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f260,f278])).
% 0.12/0.51 fof(f280,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x11,x10),sep(lseg(x10,x1),emp))))))))|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f24,f279])).
% 0.12/0.51 fof(f281,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x11,x10),sep(lseg(x4,x5),sep(lseg(x10,x1),emp))))))))|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f280])).
% 0.12/0.51 fof(f282,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x11,x10),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x10,x1),emp))))))))|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f281])).
% 0.12/0.51 fof(f302,plain,(
% 0.12/0.51 x11=x9|x11=x3|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(resolution,[status(thm)],[f282,f111])).
% 0.12/0.51 fof(f303,definition,(
% 0.12/0.51 sQ8_spl <=> (x11=x3)),
% 0.12/0.51 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.51 fof(f304,plain,(
% 0.12/0.51 x11=x3|~sQ8_spl),
% 0.12/0.51 inference(component_clause,[status(thm)],[f303])).
% 0.12/0.51 fof(f310,plain,(
% 0.12/0.51 sQ6_spl|sQ8_spl|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(split_clause,[status(thm)],[f302,f256,f303,f259,f231])).
% 0.12/0.51 fof(f311,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x11),sep(lseg(x11,x10),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x10,x1),emp))))))))|~sQ8_spl|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(backward_demodulation,[status(thm)],[f304,f282])).
% 0.12/0.51 fof(f314,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x10),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))|~sQ8_spl|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f24,f311])).
% 0.12/0.51 fof(f316,plain,(
% 0.12/0.51 x11=x9|x11=x10|~sQ8_spl|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(resolution,[status(thm)],[f314,f111])).
% 0.12/0.51 fof(f317,definition,(
% 0.12/0.51 sQ10_spl <=> (x11=x10)),
% 0.12/0.51 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.51 fof(f318,plain,(
% 0.12/0.51 x11=x10|~sQ10_spl),
% 0.12/0.51 inference(component_clause,[status(thm)],[f317])).
% 0.12/0.51 fof(f324,plain,(
% 0.12/0.51 sQ6_spl|sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(split_clause,[status(thm)],[f316,f256,f317,f303,f259,f231])).
% 0.12/0.51 fof(f325,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x10),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x11,x1),emp)))))))|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(backward_demodulation,[status(thm)],[f318,f314])).
% 0.12/0.51 fof(f326,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x11),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x11,x1),emp)))))))|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f318,f325])).
% 0.12/0.51 fof(f327,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x6),sep(lseg(x4,x5),sep(lseg(x11,x1),emp))))))|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f24,f326])).
% 0.12/0.51 fof(f328,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x6),sep(lseg(x11,x1),sep(lseg(x4,x5),emp))))))|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f327])).
% 0.12/0.51 fof(f329,plain,(
% 0.12/0.51 heap(sep(lseg(x9,x11),sep(lseg(x11,x9),sep(lseg(x11,x1),sep(lseg(x11,x6),sep(lseg(x4,x5),emp))))))|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(forward_demodulation,[status(thm)],[f23,f328])).
% 0.12/0.51 fof(f331,plain,(
% 0.12/0.51 x11=x9|x11=x1|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(resolution,[status(thm)],[f329,f111])).
% 0.12/0.51 fof(f332,definition,(
% 0.12/0.51 sQ12_spl <=> (x11=x1)),
% 0.12/0.51 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.51 fof(f333,plain,(
% 0.12/0.51 x11=x1|~sQ12_spl),
% 0.12/0.51 inference(component_clause,[status(thm)],[f332])).
% 0.12/0.51 fof(f339,plain,(
% 0.12/0.51 sQ6_spl|sQ12_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ5_spl),
% 0.12/0.51 inference(split_clause,[status(thm)],[f331,f256,f332,f317,f303,f259,f231])).
% 0.12/0.51 fof(f340,plain,(
% 0.12/0.51 $false|~sQ12_spl),
% 0.12/0.51 inference(forward_subsumption_resolution,[status(thm)],[f333,f42])).
% 0.12/0.51 fof(f341,plain,(
% 0.12/0.51 ~sQ12_spl),
% 0.12/0.51 inference(contradiction_clause,[status(thm)],[f340])).
% 0.12/0.51 fof(f342,plain,(
% 0.12/0.51 $false),
% 0.12/0.51 inference(sat_refutation,[status(thm)],[f234,f236,f262,f264,f310,f324,f339,f341])).
% 0.12/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.52 % Elapsed time: 0.122627 seconds
% 0.12/0.52 % CPU time: 0.715542 seconds
% 0.12/0.52 % Total memory used: 93.590 MB
% 0.12/0.52 % Net memory used: 93.224 MB
%------------------------------------------------------------------------------