0.12/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.12/0.34 % Computer : n011.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 02:03:06 EDT 2022 0.12/0.34 % CPUTime : 0.12/0.36 % Drodi V3.3.3 0.19/0.46 % Refutation found 0.19/0.46 % SZS status Theorem for theBenchmark: Theorem is valid 0.19/0.46 % SZS output start CNFRefutation for theBenchmark 0.19/0.46 fof(f5,axiom,( 0.19/0.46 (! [Fluent,Time] :( ( ~ releasedAt(Fluent,plus(Time,n1))& ~ (? [Event] :( happens(Event,Time)& initiates(Event,Fluent,Time) ))& ~ holdsAt(Fluent,Time) )=> ~ holdsAt(Fluent,plus(Time,n1)) ) )), 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.19/0.46 fof(f13,axiom,( 0.19/0.46 forwards != backwards ), 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.19/0.46 fof(f14,axiom,( 0.19/0.46 (! [Event,Fluent,Time] :( initiates(Event,Fluent,Time)<=> ( ( pull = Event& happens(push,Time)& Fluent = spinning )| ( Event = pull& ~ happens(push,Time)& backwards = Fluent )| ( Event = push& forwards = Fluent& ~ happens(pull,Time) ) ) ) )), 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.19/0.46 fof(f16,axiom,( 0.19/0.46 (! [Event,Time] :( ( ( n2 = Time& pull = Event )| ( n2 = Time& Event = push )| ( pull = Event& Time = n1 )| ( Time = n0& push = Event ) )<=> happens(Event,Time) ) )), 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.19/0.46 fof(f20,axiom,( 0.19/0.46 spinning != backwards ), 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.19/0.46 fof(f26,hypothesis,( 0.19/0.46 ~ holdsAt(backwards,n0) ), 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.19/0.46 fof(f28,conjecture,( 0.19/0.46 ~ holdsAt(backwards,n1) ), 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.19/0.46 fof(f29,negated_conjecture,( 0.19/0.46 ~(~ holdsAt(backwards,n1) )), 0.19/0.46 inference(negated_conjecture,[status(cth)],[f28])). 0.19/0.46 fof(f32,axiom,( 0.19/0.46 (! [X,Y] : plus(X,Y) = plus(Y,X) )), 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.19/0.46 fof(f38,hypothesis,( 0.19/0.46 (! [Fluent,Time] : ~ releasedAt(Fluent,Time) )), 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.19/0.46 fof(f40,axiom,( 0.19/0.46 n1 = plus(n0,n1) ), 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.19/0.46 fof(f73,plain,( 0.19/0.46 ![Fluent,Time]: (((releasedAt(Fluent,plus(Time,n1))|(?[Event]: (happens(Event,Time)&initiates(Event,Fluent,Time))))|holdsAt(Fluent,Time))|~holdsAt(Fluent,plus(Time,n1)))), 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f5])). 0.19/0.46 fof(f74,plain,( 0.19/0.46 ![Fluent,Time]: (((releasedAt(Fluent,plus(Time,n1))|(happens(sk0_5(Time,Fluent),Time)&initiates(sk0_5(Time,Fluent),Fluent,Time)))|holdsAt(Fluent,Time))|~holdsAt(Fluent,plus(Time,n1)))), 0.19/0.46 inference(skolemization,[status(esa)],[f73])). 0.19/0.46 fof(f76,plain,( 0.19/0.46 ![X0,X1]: (releasedAt(X0,plus(X1,n1))|initiates(sk0_5(X1,X0),X0,X1)|holdsAt(X0,X1)|~holdsAt(X0,plus(X1,n1)))), 0.19/0.46 inference(cnf_transformation,[status(esa)],[f74])). 0.19/0.46 fof(f101,plain,( 0.19/0.46 ~forwards=backwards), 0.19/0.46 inference(cnf_transformation,[status(esa)],[f13])). 0.19/0.46 fof(f102,plain,( 0.19/0.46 ![Event,Fluent,Time]: (pd0_0(Time,Fluent,Event)<=>(((pull=Event&happens(push,Time))&Fluent=spinning)|((Event=pull&~happens(push,Time))&backwards=Fluent)))), 0.19/0.46 introduced(predicate_definition,[f14])). 0.19/0.46 fof(f103,plain,( 0.19/0.46 ![Event,Fluent,Time]: (initiates(Event,Fluent,Time)<=>(pd0_0(Time,Fluent,Event)|((Event=push&forwards=Fluent)&~happens(pull,Time))))), 0.19/0.46 inference(formula_renaming,[status(thm)],[f14,f102])). 0.19/0.46 fof(f104,plain,( 0.19/0.46 ![Event,Fluent,Time]: ((~initiates(Event,Fluent,Time)|(pd0_0(Time,Fluent,Event)|((Event=push&forwards=Fluent)&~happens(pull,Time))))&(initiates(Event,Fluent,Time)|(~pd0_0(Time,Fluent,Event)&((~Event=push|~forwards=Fluent)|happens(pull,Time)))))), 0.19/0.46 inference(NNF_transformation,[status(esa)],[f103])). 0.19/0.46 fof(f105,plain,( 0.19/0.46 (![Event,Fluent,Time]: (~initiates(Event,Fluent,Time)|(pd0_0(Time,Fluent,Event)|((Event=push&forwards=Fluent)&~happens(pull,Time)))))&(![Event,Fluent,Time]: (initiates(Event,Fluent,Time)|(~pd0_0(Time,Fluent,Event)&((~Event=push|~forwards=Fluent)|happens(pull,Time)))))), 0.19/0.46 inference(miniscoping,[status(esa)],[f104])). 0.19/0.46 fof(f107,plain,( 0.19/0.46 ![X0,X1,X2]: (~initiates(X0,X1,X2)|pd0_0(X2,X1,X0)|forwards=X1)), 0.19/0.46 inference(cnf_transformation,[status(esa)],[f105])). 0.19/0.46 fof(f120,plain,( 0.19/0.46 ![Event,Time]: (pd0_2(Time,Event)<=>(((n2=Time&pull=Event)|(n2=Time&Event=push))|(pull=Event&Time=n1)))), 0.19/0.46 introduced(predicate_definition,[f16])). 0.19/0.46 fof(f121,plain,( 0.19/0.46 ![Event,Time]: ((pd0_2(Time,Event)|(Time=n0&push=Event))<=>happens(Event,Time))), 0.19/0.47 inference(formula_renaming,[status(thm)],[f16,f120])). 0.19/0.47 fof(f122,plain,( 0.19/0.47 ![Event,Time]: (((~pd0_2(Time,Event)&(~Time=n0|~push=Event))|happens(Event,Time))&((pd0_2(Time,Event)|(Time=n0&push=Event))|~happens(Event,Time)))), 0.19/0.47 inference(NNF_transformation,[status(esa)],[f121])). 0.19/0.47 fof(f123,plain,( 0.19/0.47 (![Event,Time]: ((~pd0_2(Time,Event)&(~Time=n0|~push=Event))|happens(Event,Time)))&(![Event,Time]: ((pd0_2(Time,Event)|(Time=n0&push=Event))|~happens(Event,Time)))), 0.19/0.47 inference(miniscoping,[status(esa)],[f122])). 0.19/0.47 fof(f125,plain,( 0.19/0.47 ![X0,X1]: (~X0=n0|~push=X1|happens(X1,X0))), 0.19/0.47 inference(cnf_transformation,[status(esa)],[f123])). 0.19/0.47 fof(f131,plain,( 0.19/0.47 ~spinning=backwards), 0.19/0.47 inference(cnf_transformation,[status(esa)],[f20])). 0.19/0.47 fof(f146,plain,( 0.19/0.47 ~holdsAt(backwards,n0)), 0.19/0.47 inference(cnf_transformation,[status(esa)],[f26])). 0.19/0.47 fof(f151,plain,( 0.19/0.47 holdsAt(backwards,n1)), 0.19/0.47 inference(cnf_transformation,[status(esa)],[f29])). 0.19/0.47 fof(f154,plain,( 0.19/0.47 ![X0,X1]: (plus(X0,X1)=plus(X1,X0))), 0.19/0.47 inference(cnf_transformation,[status(esa)],[f32])). 0.19/0.47 fof(f164,plain,( 0.19/0.47 ![X0,X1]: (~releasedAt(X0,X1))), 0.19/0.47 inference(cnf_transformation,[status(esa)],[f38])). 0.19/0.47 fof(f169,plain,( 0.19/0.47 n1=plus(n0,n1)), 0.19/0.47 inference(cnf_transformation,[status(esa)],[f40])). 0.19/0.47 fof(f196,plain,( 0.19/0.47 ![Event,Fluent,Time]: (pd0_3(Time,Fluent,Event)<=>((pull=Event&happens(push,Time))&Fluent=spinning))), 0.19/0.47 introduced(predicate_definition,[f102])). 0.19/0.47 fof(f197,plain,( 0.19/0.47 ![Event,Fluent,Time]: (pd0_0(Time,Fluent,Event)<=>(pd0_3(Time,Fluent,Event)|((Event=pull&~happens(push,Time))&backwards=Fluent)))), 0.19/0.47 inference(formula_renaming,[status(thm)],[f102,f196])). 0.19/0.47 fof(f198,plain,( 0.19/0.47 ![Event,Fluent,Time]: ((~pd0_0(Time,Fluent,Event)|(pd0_3(Time,Fluent,Event)|((Event=pull&~happens(push,Time))&backwards=Fluent)))&(pd0_0(Time,Fluent,Event)|(~pd0_3(Time,Fluent,Event)&((~Event=pull|happens(push,Time))|~backwards=Fluent))))), 0.19/0.47 inference(NNF_transformation,[status(esa)],[f197])). 0.19/0.47 fof(f199,plain,( 0.19/0.47 (![Event,Fluent,Time]: (~pd0_0(Time,Fluent,Event)|(pd0_3(Time,Fluent,Event)|((Event=pull&~happens(push,Time))&backwards=Fluent))))&(![Event,Fluent,Time]: (pd0_0(Time,Fluent,Event)|(~pd0_3(Time,Fluent,Event)&((~Event=pull|happens(push,Time))|~backwards=Fluent))))), 0.19/0.47 inference(miniscoping,[status(esa)],[f198])). 0.19/0.47 fof(f201,plain,( 0.19/0.47 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|pd0_3(X0,X1,X2)|~happens(push,X0))), 0.19/0.47 inference(cnf_transformation,[status(esa)],[f199])). 0.19/0.47 fof(f222,plain,( 0.19/0.47 ![Event,Fluent,Time]: ((~pd0_3(Time,Fluent,Event)|((pull=Event&happens(push,Time))&Fluent=spinning))&(pd0_3(Time,Fluent,Event)|((~pull=Event|~happens(push,Time))|~Fluent=spinning)))), 0.19/0.47 inference(NNF_transformation,[status(esa)],[f196])). 0.19/0.47 fof(f223,plain,( 0.19/0.47 (![Event,Fluent,Time]: (~pd0_3(Time,Fluent,Event)|((pull=Event&happens(push,Time))&Fluent=spinning)))&(![Event,Fluent,Time]: (pd0_3(Time,Fluent,Event)|((~pull=Event|~happens(push,Time))|~Fluent=spinning)))), 0.19/0.47 inference(miniscoping,[status(esa)],[f222])). 0.19/0.47 fof(f226,plain,( 0.19/0.47 ![X0,X1,X2]: (~pd0_3(X0,X1,X2)|X1=spinning)), 0.19/0.47 inference(cnf_transformation,[status(esa)],[f223])). 0.19/0.47 fof(f271,plain,( 0.19/0.47 happens(push,n0)), 0.19/0.47 inference(destructive_equality_resolution,[status(esa)],[f125])). 0.19/0.47 fof(f286,plain,( 0.19/0.47 n1=plus(n1,n0)), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f154,f169])). 0.19/0.47 fof(f335,plain,( 0.19/0.47 ![X0,X1]: (initiates(sk0_5(X0,X1),X1,X0)|holdsAt(X1,X0)|~holdsAt(X1,plus(X0,n1)))), 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f76,f164])). 0.19/0.47 fof(f336,plain,( 0.19/0.47 ![X0,X1]: (initiates(sk0_5(X0,X1),X1,X0)|holdsAt(X1,X0)|~holdsAt(X1,plus(n1,X0)))), 0.19/0.47 inference(paramodulation,[status(thm)],[f154,f335])). 0.19/0.47 fof(f702,plain,( 0.19/0.47 spl0_49 <=> happens(push,n0)), 0.19/0.47 introduced(split_symbol_definition)). 0.19/0.47 fof(f704,plain,( 0.19/0.47 ~happens(push,n0)|spl0_49), 0.19/0.47 inference(component_clause,[status(thm)],[f702])). 0.19/0.47 fof(f708,plain,( 0.19/0.47 $false|spl0_49), 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f704,f271])). 0.19/0.47 fof(f709,plain,( 0.19/0.47 spl0_49), 0.19/0.47 inference(contradiction_clause,[status(thm)],[f708])). 0.19/0.47 fof(f905,plain,( 0.19/0.47 spl0_76 <=> forwards=backwards), 0.19/0.47 introduced(split_symbol_definition)). 0.19/0.47 fof(f906,plain,( 0.19/0.47 forwards=backwards|~spl0_76), 0.19/0.47 inference(component_clause,[status(thm)],[f905])). 0.19/0.47 fof(f1054,plain,( 0.19/0.47 spl0_88 <=> holdsAt(backwards,n0)), 0.19/0.47 introduced(split_symbol_definition)). 0.19/0.47 fof(f1055,plain,( 0.19/0.47 holdsAt(backwards,n0)|~spl0_88), 0.19/0.47 inference(component_clause,[status(thm)],[f1054])). 0.19/0.47 fof(f1087,plain,( 0.19/0.47 $false|~spl0_88), 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1055,f146])). 0.19/0.47 fof(f1088,plain,( 0.19/0.47 ~spl0_88), 0.19/0.47 inference(contradiction_clause,[status(thm)],[f1087])). 0.19/0.47 fof(f1132,plain,( 0.19/0.47 ![X0]: (initiates(sk0_5(n0,X0),X0,n0)|holdsAt(X0,n0)|~holdsAt(X0,n1))), 0.19/0.47 inference(paramodulation,[status(thm)],[f286,f336])). 0.19/0.47 fof(f1135,plain,( 0.19/0.47 spl0_93 <=> initiates(sk0_5(n0,backwards),backwards,n0)), 0.19/0.47 introduced(split_symbol_definition)). 0.19/0.47 fof(f1136,plain,( 0.19/0.47 initiates(sk0_5(n0,backwards),backwards,n0)|~spl0_93), 0.19/0.47 inference(component_clause,[status(thm)],[f1135])). 0.19/0.47 fof(f1138,plain,( 0.19/0.47 initiates(sk0_5(n0,backwards),backwards,n0)|holdsAt(backwards,n0)), 0.19/0.47 inference(resolution,[status(thm)],[f1132,f151])). 0.19/0.47 fof(f1139,plain,( 0.19/0.47 spl0_93|spl0_88), 0.19/0.47 inference(split_clause,[status(thm)],[f1138,f1135,f1054])). 0.19/0.47 fof(f1140,plain,( 0.19/0.47 spl0_94 <=> pd0_0(n0,backwards,sk0_5(n0,backwards))), 0.19/0.47 introduced(split_symbol_definition)). 0.19/0.47 fof(f1141,plain,( 0.19/0.47 pd0_0(n0,backwards,sk0_5(n0,backwards))|~spl0_94), 0.19/0.47 inference(component_clause,[status(thm)],[f1140])). 0.19/0.47 fof(f1145,plain,( 0.19/0.47 pd0_0(n0,backwards,sk0_5(n0,backwards))|forwards=backwards|~spl0_93), 0.19/0.47 inference(resolution,[status(thm)],[f1136,f107])). 0.19/0.47 fof(f1146,plain,( 0.19/0.47 spl0_94|spl0_76|~spl0_93), 0.19/0.47 inference(split_clause,[status(thm)],[f1145,f1140,f905,f1135])). 0.19/0.47 fof(f1154,plain,( 0.19/0.47 $false|~spl0_76), 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f906,f101])). 0.19/0.47 fof(f1155,plain,( 0.19/0.47 ~spl0_76), 0.19/0.47 inference(contradiction_clause,[status(thm)],[f1154])). 0.19/0.47 fof(f1158,plain,( 0.19/0.47 spl0_96 <=> pd0_3(n0,backwards,sk0_5(n0,backwards))), 0.19/0.47 introduced(split_symbol_definition)). 0.19/0.47 fof(f1159,plain,( 0.19/0.47 pd0_3(n0,backwards,sk0_5(n0,backwards))|~spl0_96), 0.19/0.47 inference(component_clause,[status(thm)],[f1158])). 0.19/0.47 fof(f1161,plain,( 0.19/0.47 pd0_3(n0,backwards,sk0_5(n0,backwards))|~happens(push,n0)|~spl0_94), 0.19/0.47 inference(resolution,[status(thm)],[f1141,f201])). 0.19/0.47 fof(f1162,plain,( 0.19/0.47 spl0_96|~spl0_49|~spl0_94), 0.19/0.47 inference(split_clause,[status(thm)],[f1161,f1158,f702,f1140])). 0.19/0.47 fof(f1167,plain,( 0.19/0.47 backwards=spinning|~spl0_96), 0.19/0.47 inference(resolution,[status(thm)],[f1159,f226])). 0.19/0.47 fof(f1168,plain,( 0.19/0.47 $false|~spl0_96), 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1167,f131])). 0.19/0.47 fof(f1169,plain,( 0.19/0.47 ~spl0_96), 0.19/0.47 inference(contradiction_clause,[status(thm)],[f1168])). 0.19/0.47 fof(f1170,plain,( 0.19/0.47 $false), 0.19/0.47 inference(sat_refutation,[status(thm)],[f709,f1088,f1139,f1146,f1155,f1162,f1169])). 0.19/0.47 % SZS output end CNFRefutation for theBenchmark.p 0.19/0.48 % Elapsed time: 0.129201 seconds 0.19/0.48 % CPU time: 0.786295 seconds 0.19/0.48 % Memory used: 90.365 MB 0.19/0.48 EOF