%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO336+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 12:26:23 PM UTC 2026
% Result : Theorem 1.15s 0.66s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO336+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 15:29:55 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 1.15/0.66 % Refutation found
% 1.15/0.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.15/0.66 % SZS output start CNFRefutation for theBenchmark
% 1.15/0.66 fof(f1,conjecture,(
% 1.15/0.66 (? [Vd1378] :( vf(vd1363,Vd1378) = vf(vd1361,vd1362)& rR(Vd1378,vd1361,vd1363)& rpoint(Vd1378) ) )),
% 1.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.66 fof(f2,negated_conjecture,(
% 1.15/0.66 ~((? [Vd1378] :( vf(vd1363,Vd1378) = vf(vd1361,vd1362)& rR(Vd1378,vd1361,vd1363)& rpoint(Vd1378) ) ))),
% 1.15/0.66 inference(negated_conjecture,[status(cth)],[f1])).
% 1.15/0.66 fof(f3,axiom,(
% 1.15/0.66 rless(vf(vd1361,vd1362),vf(vd1361,vd1363)) ),
% 1.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.66 fof(f5,axiom,(
% 1.15/0.66 (! [Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116] :( ( rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111))& Vd1113 != Vd1115& Vd1109 != Vd1111& Vd1115 = Vd1116& rpoint(Vd1116)& Vd1113 = Vd1114& rpoint(Vd1114)& Vd1111 = Vd1112& rpoint(Vd1112)& Vd1109 = Vd1110& rpoint(Vd1110) )=> vf(Vd1109,vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116)) = vf(Vd1113,Vd1115) ) )),
% 1.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.66 fof(f6,axiom,(
% 1.15/0.66 (! [Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116] :( ( rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111))& Vd1113 != Vd1115& Vd1109 != Vd1111& Vd1115 = Vd1116& rpoint(Vd1116)& Vd1113 = Vd1114& rpoint(Vd1114)& Vd1111 = Vd1112& rpoint(Vd1112)& Vd1109 = Vd1110& rpoint(Vd1110) )=> rR(vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116),Vd1109,Vd1111) ) )),
% 1.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.66 fof(f7,axiom,(
% 1.15/0.66 (! [Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116] :( ( rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111))& Vd1113 != Vd1115& Vd1109 != Vd1111& Vd1115 = Vd1116& rpoint(Vd1116)& Vd1113 = Vd1114& rpoint(Vd1114)& Vd1111 = Vd1112& rpoint(Vd1112)& Vd1109 = Vd1110& rpoint(Vd1110) )=> rpoint(vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116)) ) )),
% 1.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.66 fof(f11,axiom,(
% 1.15/0.66 (? [Vd1367] :( vd1362 = Vd1367& rpoint(Vd1367) ) )),
% 1.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.66 fof(f15,axiom,(
% 1.15/0.66 (! [Vd761,Vd762] :( ( (? [Vd765] :( Vd762 = Vd765& rpoint(Vd765) ))& (? [Vd764] :( Vd761 = Vd764& rpoint(Vd764) ) ))=> vf(Vd761,Vd762) = vf(Vd762,Vd761) ) )),
% 1.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.66 fof(f21,axiom,(
% 1.15/0.66 (! [Vd340,Vd341,Vd342] :( ( rR(Vd341,Vd340,Vd342)& (? [Vd346] :( Vd342 = Vd346& rpoint(Vd346) ))& (? [Vd345] :( Vd341 = Vd345& rpoint(Vd345) ))& (? [Vd344] :( Vd340 = Vd344& rpoint(Vd344) ) ))=> ( ~ rR(Vd340,Vd341,Vd342)& Vd340 != Vd342& Vd340 != Vd341& rR(Vd341,Vd342,Vd340) ) ) )),
% 1.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.66 fof(f43,axiom,(
% 1.15/0.66 vd1362 != vd1363 ),
% 1.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.66 fof(f44,axiom,(
% 1.15/0.66 vd1361 != vd1363 ),
% 1.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.66 fof(f45,axiom,(
% 1.15/0.66 vd1361 != vd1362 ),
% 1.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.66 fof(f46,axiom,(
% 1.15/0.66 (? [Vd1368] :( vd1363 = Vd1368& rpoint(Vd1368) ) )),
% 1.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.66 fof(f47,axiom,(
% 1.15/0.66 (? [Vd1366] :( vd1361 = Vd1366& rpoint(Vd1366) ) )),
% 1.15/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.66 fof(f128,plain,(
% 1.15/0.66 (![Vd1378]: ((~vf(vd1363,Vd1378)=vf(vd1361,vd1362)|~rR(Vd1378,vd1361,vd1363))|~rpoint(Vd1378)))),
% 1.15/0.66 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 1.15/0.66 fof(f129,plain,(
% 1.15/0.66 ![X0]: (~vf(vd1363,X0)=vf(vd1361,vd1362)|~rR(X0,vd1361,vd1363)|~rpoint(X0))),
% 1.15/0.66 inference(cnf_transformation,[status(thm)],[f128])).
% 1.15/0.66 fof(f130,plain,(
% 1.15/0.66 rless(vf(vd1361,vd1362),vf(vd1361,vd1363))),
% 1.15/0.66 inference(cnf_transformation,[status(thm)],[f3])).
% 1.15/0.66 fof(f132,plain,(
% 1.15/0.66 ![Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116]: (((((((((((~rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111))|Vd1113=Vd1115)|Vd1109=Vd1111)|~Vd1115=Vd1116)|~rpoint(Vd1116))|~Vd1113=Vd1114)|~rpoint(Vd1114))|~Vd1111=Vd1112)|~rpoint(Vd1112))|~Vd1109=Vd1110)|~rpoint(Vd1110))|vf(Vd1109,vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116))=vf(Vd1113,Vd1115))),
% 1.15/0.66 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 1.15/0.66 fof(f133,plain,(
% 1.15/0.66 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~rless(vf(X0,X1),vf(X2,X3))|X0=X1|X2=X3|~X1=X4|~rpoint(X4)|~X0=X5|~rpoint(X5)|~X3=X6|~rpoint(X6)|~X2=X7|~rpoint(X7)|vf(X2,vskolem1120(X2,X7,X3,X6,X0,X5,X1,X4))=vf(X0,X1))),
% 1.15/0.66 inference(cnf_transformation,[status(thm)],[f132])).
% 1.15/0.66 fof(f134,plain,(
% 1.15/0.66 ![Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116]: (((((((((((~rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111))|Vd1113=Vd1115)|Vd1109=Vd1111)|~Vd1115=Vd1116)|~rpoint(Vd1116))|~Vd1113=Vd1114)|~rpoint(Vd1114))|~Vd1111=Vd1112)|~rpoint(Vd1112))|~Vd1109=Vd1110)|~rpoint(Vd1110))|rR(vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116),Vd1109,Vd1111))),
% 1.15/0.66 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 1.15/0.66 fof(f135,plain,(
% 1.15/0.66 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~rless(vf(X0,X1),vf(X2,X3))|X0=X1|X2=X3|~X1=X4|~rpoint(X4)|~X0=X5|~rpoint(X5)|~X3=X6|~rpoint(X6)|~X2=X7|~rpoint(X7)|rR(vskolem1120(X2,X7,X3,X6,X0,X5,X1,X4),X2,X3))),
% 1.15/0.66 inference(cnf_transformation,[status(thm)],[f134])).
% 1.15/0.66 fof(f136,plain,(
% 1.15/0.66 ![Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116]: (((((((((((~rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111))|Vd1113=Vd1115)|Vd1109=Vd1111)|~Vd1115=Vd1116)|~rpoint(Vd1116))|~Vd1113=Vd1114)|~rpoint(Vd1114))|~Vd1111=Vd1112)|~rpoint(Vd1112))|~Vd1109=Vd1110)|~rpoint(Vd1110))|rpoint(vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116)))),
% 1.15/0.66 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 1.15/0.66 fof(f137,plain,(
% 1.15/0.66 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~rless(vf(X0,X1),vf(X2,X3))|X0=X1|X2=X3|~X1=X4|~rpoint(X4)|~X0=X5|~rpoint(X5)|~X3=X6|~rpoint(X6)|~X2=X7|~rpoint(X7)|rpoint(vskolem1120(X2,X7,X3,X6,X0,X5,X1,X4)))),
% 1.15/0.66 inference(cnf_transformation,[status(thm)],[f136])).
% 1.15/0.66 fof(f148,plain,(
% 1.15/0.66 (vd1362=sK0_skl&rpoint(sK0_skl))),
% 1.15/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vd1367,sK0_skl)],[f11])).
% 1.15/0.66 fof(f149,plain,(
% 1.15/0.66 vd1362=sK0_skl),
% 1.15/0.66 inference(cnf_transformation,[status(thm)],[f148])).
% 1.15/0.66 fof(f150,plain,(
% 1.15/0.66 rpoint(sK0_skl)),
% 1.15/0.66 inference(cnf_transformation,[status(thm)],[f148])).
% 1.15/0.66 fof(f165,plain,(
% 1.15/0.66 ![Vd761,Vd762]: (((![Vd765]: (~Vd762=Vd765|~rpoint(Vd765)))|(![Vd764]: (~Vd761=Vd764|~rpoint(Vd764))))|vf(Vd761,Vd762)=vf(Vd762,Vd761))),
% 1.15/0.66 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 1.15/0.66 fof(f166,plain,(
% 1.15/0.66 ![X0,X1,X2,X3]: (~X0=X1|~rpoint(X1)|~X2=X3|~rpoint(X3)|vf(X2,X0)=vf(X0,X2))),
% 1.15/0.66 inference(cnf_transformation,[status(thm)],[f165])).
% 1.15/0.66 fof(f184,plain,(
% 1.15/0.66 ![Vd340,Vd341,Vd342]: ((((~rR(Vd341,Vd340,Vd342)|(![Vd346]: (~Vd342=Vd346|~rpoint(Vd346))))|(![Vd345]: (~Vd341=Vd345|~rpoint(Vd345))))|(![Vd344]: (~Vd340=Vd344|~rpoint(Vd344))))|(((~rR(Vd340,Vd341,Vd342)&~Vd340=Vd342)&~Vd340=Vd341)&rR(Vd341,Vd342,Vd340)))),
% 1.15/0.66 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 1.15/0.66 fof(f188,plain,(
% 1.15/0.66 ![X0,X1,X2,X3,X4,X5]: (~rR(X0,X1,X2)|~X2=X3|~rpoint(X3)|~X0=X4|~rpoint(X4)|~X1=X5|~rpoint(X5)|rR(X0,X2,X1))),
% 1.15/0.66 inference(cnf_transformation,[status(thm)],[f184])).
% 1.15/0.66 fof(f268,plain,(
% 1.15/0.66 ~vd1362=vd1363),
% 1.15/0.66 inference(cnf_transformation,[status(thm)],[f43])).
% 1.15/0.66 fof(f269,plain,(
% 1.15/0.66 ~vd1361=vd1363),
% 1.15/0.66 inference(cnf_transformation,[status(thm)],[f44])).
% 1.15/0.66 fof(f270,plain,(
% 1.15/0.66 ~vd1361=vd1362),
% 1.15/0.66 inference(cnf_transformation,[status(thm)],[f45])).
% 1.15/0.66 fof(f271,plain,(
% 1.15/0.66 (vd1363=sK9_skl&rpoint(sK9_skl))),
% 1.15/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(Vd1368,sK9_skl)],[f46])).
% 1.15/0.66 fof(f272,plain,(
% 1.15/0.66 vd1363=sK9_skl),
% 1.15/0.66 inference(cnf_transformation,[status(thm)],[f271])).
% 1.15/0.66 fof(f273,plain,(
% 1.15/0.66 rpoint(sK9_skl)),
% 1.15/0.66 inference(cnf_transformation,[status(thm)],[f271])).
% 1.15/0.66 fof(f274,plain,(
% 1.15/0.66 (vd1361=sK10_skl&rpoint(sK10_skl))),
% 1.15/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(Vd1366,sK10_skl)],[f47])).
% 1.15/0.66 fof(f275,plain,(
% 1.15/0.66 vd1361=sK10_skl),
% 1.15/0.66 inference(cnf_transformation,[status(thm)],[f274])).
% 1.15/0.66 fof(f276,plain,(
% 1.15/0.66 rpoint(sK10_skl)),
% 1.15/0.66 inference(cnf_transformation,[status(thm)],[f274])).
% 1.15/0.66 fof(f701,plain,(
% 1.15/0.66 ![X0,X1,X2,X3]: (~rless(vf(X0,X1),vf(X2,X3))|X0=X1|X2=X3|~rpoint(X1)|~rpoint(X0)|~rpoint(X3)|~rpoint(X2)|vf(X2,vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1))=vf(X0,X1))),
% 1.15/0.66 inference(destructive_equality_resolution,[status(thm)],[f133])).
% 1.15/0.66 fof(f702,plain,(
% 1.15/0.66 ![X0,X1,X2,X3]: (~rless(vf(X0,X1),vf(X2,X3))|X0=X1|X2=X3|~rpoint(X1)|~rpoint(X0)|~rpoint(X3)|~rpoint(X2)|rR(vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1),X2,X3))),
% 1.15/0.66 inference(destructive_equality_resolution,[status(thm)],[f135])).
% 1.15/0.66 fof(f703,plain,(
% 1.15/0.66 ![X0,X1,X2,X3]: (~rless(vf(X0,X1),vf(X2,X3))|X0=X1|X2=X3|~rpoint(X1)|~rpoint(X0)|~rpoint(X3)|~rpoint(X2)|rpoint(vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1)))),
% 1.15/0.66 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 1.15/0.66 fof(f715,plain,(
% 1.15/0.66 ![X0,X1]: (~rpoint(X0)|~rpoint(X1)|vf(X1,X0)=vf(X0,X1))),
% 1.15/0.66 inference(destructive_equality_resolution,[status(thm)],[f166])).
% 1.15/0.66 fof(f729,plain,(
% 1.15/0.66 ![X0,X1,X2]: (~rR(X0,X1,X2)|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|rR(X0,X2,X1))),
% 1.15/0.66 inference(destructive_equality_resolution,[status(thm)],[f188])).
% 1.15/0.66 fof(f936,plain,(
% 1.15/0.66 rpoint(vd1362)),
% 1.15/0.66 inference(forward_demodulation,[status(thm)],[f149,f150])).
% 1.15/0.66 fof(f947,plain,(
% 1.15/0.66 rpoint(vd1363)),
% 1.15/0.66 inference(forward_demodulation,[status(thm)],[f272,f273])).
% 1.15/0.66 fof(f949,plain,(
% 1.15/0.66 ![X0]: (~rpoint(X0)|vf(vd1363,X0)=vf(X0,vd1363))),
% 1.15/0.66 inference(resolution,[status(thm)],[f947,f715])).
% 1.15/0.66 fof(f950,plain,(
% 1.15/0.66 rpoint(vd1361)),
% 1.15/0.66 inference(forward_demodulation,[status(thm)],[f275,f276])).
% 1.15/0.66 fof(f972,definition,(
% 1.15/0.66 sQ10_spl <=> (vd1361=vd1362)),
% 1.15/0.66 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 1.15/0.66 fof(f973,plain,(
% 1.15/0.66 vd1361=vd1362|~sQ10_spl),
% 1.15/0.66 inference(component_clause,[status(thm)],[f972])).
% 1.15/0.66 fof(f975,definition,(
% 1.15/0.66 sQ11_spl <=> (vd1361=vd1363)),
% 1.15/0.66 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 1.15/0.66 fof(f976,plain,(
% 1.15/0.66 vd1361=vd1363|~sQ11_spl),
% 1.15/0.66 inference(component_clause,[status(thm)],[f975])).
% 1.15/0.66 fof(f978,definition,(
% 1.15/0.66 sQ12_spl <=> (rpoint(vd1362))),
% 1.15/0.66 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 1.15/0.66 fof(f980,plain,(
% 1.15/0.66 ~rpoint(vd1362)|sQ12_spl),
% 1.15/0.66 inference(component_clause,[status(thm)],[f978])).
% 1.15/0.66 fof(f981,definition,(
% 1.15/0.66 sQ13_spl <=> (rpoint(vd1361))),
% 1.15/0.66 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 1.15/0.66 fof(f983,plain,(
% 1.15/0.66 ~rpoint(vd1361)|sQ13_spl),
% 1.15/0.66 inference(component_clause,[status(thm)],[f981])).
% 1.15/0.66 fof(f984,definition,(
% 1.15/0.66 sQ14_spl <=> (rpoint(vd1363))),
% 1.15/0.66 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 1.15/0.66 fof(f986,plain,(
% 1.15/0.66 ~rpoint(vd1363)|sQ14_spl),
% 1.15/0.66 inference(component_clause,[status(thm)],[f984])).
% 1.15/0.66 fof(f996,plain,(
% 1.15/0.66 $false|sQ14_spl),
% 1.15/0.66 inference(forward_subsumption_resolution,[status(thm)],[f986,f947])).
% 1.15/0.66 fof(f997,plain,(
% 1.15/0.66 sQ14_spl),
% 1.15/0.66 inference(contradiction_clause,[status(thm)],[f996])).
% 1.15/0.66 fof(f998,plain,(
% 1.15/0.66 $false|sQ13_spl),
% 1.15/0.66 inference(forward_subsumption_resolution,[status(thm)],[f983,f950])).
% 1.15/0.66 fof(f999,plain,(
% 1.15/0.66 sQ13_spl),
% 1.15/0.66 inference(contradiction_clause,[status(thm)],[f998])).
% 1.15/0.66 fof(f1000,plain,(
% 1.15/0.66 $false|sQ12_spl),
% 1.15/0.66 inference(forward_subsumption_resolution,[status(thm)],[f980,f936])).
% 1.15/0.66 fof(f1001,plain,(
% 1.15/0.66 sQ12_spl),
% 1.15/0.66 inference(contradiction_clause,[status(thm)],[f1000])).
% 1.15/0.66 fof(f1040,plain,(
% 1.15/0.66 $false|~sQ10_spl),
% 1.15/0.66 inference(forward_subsumption_resolution,[status(thm)],[f973,f270])).
% 1.15/0.66 fof(f1041,plain,(
% 1.15/0.66 ~sQ10_spl),
% 1.15/0.66 inference(contradiction_clause,[status(thm)],[f1040])).
% 1.15/0.66 fof(f1042,plain,(
% 1.15/0.66 $false|~sQ11_spl),
% 1.15/0.66 inference(forward_subsumption_resolution,[status(thm)],[f976,f269])).
% 1.15/0.66 fof(f1043,plain,(
% 1.15/0.66 ~sQ11_spl),
% 1.15/0.66 inference(contradiction_clause,[status(thm)],[f1042])).
% 1.15/0.66 fof(f1054,definition,(
% 1.15/0.66 sQ25_spl <=> (vd1362=vd1363)),
% 1.15/0.66 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 1.15/0.66 fof(f1055,plain,(
% 1.15/0.66 vd1362=vd1363|~sQ25_spl),
% 1.15/0.66 inference(component_clause,[status(thm)],[f1054])).
% 1.15/0.66 fof(f1078,plain,(
% 1.15/0.66 $false|~sQ25_spl),
% 1.15/0.66 inference(forward_subsumption_resolution,[status(thm)],[f1055,f268])).
% 1.15/0.66 fof(f1079,plain,(
% 1.15/0.66 ~sQ25_spl),
% 1.15/0.66 inference(contradiction_clause,[status(thm)],[f1078])).
% 1.15/0.66 fof(f1081,plain,(
% 1.15/0.66 vf(vd1363,vd1361)=vf(vd1361,vd1363)),
% 1.15/0.66 inference(resolution,[status(thm)],[f949,f950])).
% 1.15/0.66 fof(f1085,plain,(
% 1.15/0.66 rless(vf(vd1361,vd1362),vf(vd1363,vd1361))),
% 1.15/0.66 inference(backward_demodulation,[status(thm)],[f1081,f130])).
% 1.15/0.66 fof(f1118,plain,(
% 1.15/0.66 vd1361=vd1362|vd1363=vd1361|~rpoint(vd1362)|~rpoint(vd1361)|~rpoint(vd1361)|~rpoint(vd1363)|rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))),
% 1.15/0.66 inference(resolution,[status(thm)],[f1085,f703])).
% 1.15/0.66 fof(f1119,plain,(
% 1.15/0.66 vd1361=vd1362|vd1363=vd1361|~rpoint(vd1362)|~rpoint(vd1361)|~rpoint(vd1361)|~rpoint(vd1363)|rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361)),
% 1.15/0.66 inference(resolution,[status(thm)],[f1085,f702])).
% 1.15/0.66 fof(f1120,plain,(
% 1.15/0.66 vd1361=vd1362|vd1363=vd1361|~rpoint(vd1362)|~rpoint(vd1361)|~rpoint(vd1361)|~rpoint(vd1363)|vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))=vf(vd1361,vd1362)),
% 1.15/0.66 inference(resolution,[status(thm)],[f1085,f701])).
% 1.15/0.66 fof(f1121,definition,(
% 1.15/0.66 sQ37_spl <=> (rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362)))),
% 1.15/0.66 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 1.15/0.66 fof(f1124,plain,(
% 1.15/0.66 sQ10_spl|sQ11_spl|~sQ12_spl|~sQ13_spl|~sQ14_spl|sQ37_spl),
% 1.15/0.66 inference(split_clause,[status(thm)],[f1118,f972,f975,f978,f981,f984,f1121])).
% 1.15/0.66 fof(f1125,definition,(
% 1.15/0.66 sQ38_spl <=> (rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361))),
% 1.15/0.66 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 1.15/0.66 fof(f1126,plain,(
% 1.15/0.66 rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361)|~sQ38_spl),
% 1.15/0.66 inference(component_clause,[status(thm)],[f1125])).
% 1.15/0.66 fof(f1128,plain,(
% 1.15/0.66 sQ10_spl|sQ11_spl|~sQ12_spl|~sQ13_spl|~sQ14_spl|sQ38_spl),
% 1.15/0.66 inference(split_clause,[status(thm)],[f1119,f972,f975,f978,f981,f984,f1125])).
% 1.15/0.66 fof(f1129,definition,(
% 1.15/0.66 sQ39_spl <=> (vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))=vf(vd1361,vd1362))),
% 1.15/0.66 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 1.15/0.66 fof(f1130,plain,(
% 1.15/0.66 vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))=vf(vd1361,vd1362)|~sQ39_spl),
% 1.15/0.66 inference(component_clause,[status(thm)],[f1129])).
% 1.15/0.66 fof(f1132,plain,(
% 1.15/0.66 sQ10_spl|sQ11_spl|~sQ12_spl|~sQ13_spl|~sQ14_spl|sQ39_spl),
% 1.15/0.66 inference(split_clause,[status(thm)],[f1120,f972,f975,f978,f981,f984,f1129])).
% 1.15/0.66 fof(f1184,definition,(
% 1.15/0.66 sQ51_spl <=> (rless(vf(vd1361,vd1362),vf(vd1363,vd1361)))),
% 1.15/0.66 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 1.15/0.66 fof(f1186,plain,(
% 1.15/0.66 ~rless(vf(vd1361,vd1362),vf(vd1363,vd1361))|sQ51_spl),
% 1.15/0.66 inference(component_clause,[status(thm)],[f1184])).
% 1.15/0.66 fof(f1199,plain,(
% 1.15/0.66 $false|sQ51_spl),
% 1.15/0.66 inference(forward_subsumption_resolution,[status(thm)],[f1186,f1085])).
% 1.15/0.66 fof(f1200,plain,(
% 1.15/0.66 sQ51_spl),
% 1.15/0.66 inference(contradiction_clause,[status(thm)],[f1199])).
% 1.15/0.66 fof(f1472,plain,(
% 1.15/0.66 ~rpoint(vd1361)|~rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))|~rpoint(vd1363)|rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363)|~sQ38_spl),
% 1.15/0.66 inference(resolution,[status(thm)],[f1126,f729])).
% 1.15/0.66 fof(f1506,definition,(
% 1.15/0.66 sQ110_spl <=> (rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363))),
% 1.15/0.66 introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition])).
% 1.15/0.66 fof(f1509,plain,(
% 1.15/0.66 ~sQ13_spl|~sQ37_spl|~sQ14_spl|sQ110_spl|~sQ38_spl),
% 1.15/0.66 inference(split_clause,[status(thm)],[f1472,f981,f1121,f984,f1506,f1125])).
% 1.15/0.66 fof(f1976,plain,(
% 1.15/0.66 ~rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363)|~rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))|~sQ39_spl),
% 1.15/0.66 inference(resolution,[status(thm)],[f1130,f129])).
% 1.15/0.66 fof(f1999,plain,(
% 1.15/0.66 ~sQ110_spl|~sQ37_spl|~sQ39_spl),
% 1.15/0.66 inference(split_clause,[status(thm)],[f1976,f1506,f1121,f1129])).
% 1.15/0.66 fof(f2085,plain,(
% 1.15/0.66 $false),
% 1.15/0.66 inference(sat_refutation,[status(thm)],[f997,f999,f1001,f1041,f1043,f1079,f1124,f1128,f1132,f1200,f1509,f1999])).
% 1.15/0.66 % SZS output end CNFRefutation for theBenchmark.p
% 1.15/0.68 % Elapsed time: 0.319095 seconds
% 1.15/0.68 % CPU time: 2.143801 seconds
% 1.15/0.68 % Total memory used: 136.801 MB
% 1.15/0.68 % Net memory used: 134.065 MB
%------------------------------------------------------------------------------