%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM853+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 01:43:57 PM UTC 2026
% Result : Theorem 0.13s 5.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM853+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.53 % Computer : n008.cluster.edu
% 0.10/5.53 % Model : x86_64 x86_64
% 0.10/5.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.53 % Memory : 8046.5625MB
% 0.10/5.53 % OS : Linux 6.8.0-71-generic
% 0.10/5.53 % CPULimit : 300
% 0.10/5.53 % WCLimit : 300
% 0.10/5.53 % DateTime : Mon Sep 21 03:14:15 UTC 2026
% 0.10/5.53 % CPUTime :
% 0.10/5.55 % Drodi V4.1.1
% 0.13/5.67 % Refutation found
% 0.13/5.67 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/5.67 % SZS output start CNFRefutation for theBenchmark
% 0.13/5.67 fof(f1,conjecture,(
% 0.13/5.67 greater(vd486,vd488) ),
% 0.13/5.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.67 fof(f2,negated_conjecture,(
% 0.13/5.67 ~(greater(vd486,vd488) )),
% 0.13/5.67 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/5.67 fof(f3,axiom,(
% 0.13/5.67 greater(vmul(vd486,vd487),vmul(vd488,vd487)) ),
% 0.13/5.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.67 fof(f4,axiom,(
% 0.13/5.67 (! [Vd456,Vd465,Vd466] :( less(Vd465,Vd466)=> less(vmul(Vd465,Vd456),vmul(Vd466,Vd456)) ) )),
% 0.13/5.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.67 fof(f34,axiom,(
% 0.13/5.67 (! [Vd208,Vd209] :( greater(Vd208,Vd209)=> less(Vd209,Vd208) ) )),
% 0.13/5.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.67 fof(f35,axiom,(
% 0.13/5.67 (! [Vd203,Vd204] :( Vd203 = Vd204| greater(Vd203,Vd204)| less(Vd203,Vd204) ) )),
% 0.13/5.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.67 fof(f36,axiom,(
% 0.13/5.67 (! [Vd203,Vd204] :( Vd203 != Vd204| ~ less(Vd203,Vd204) ) )),
% 0.13/5.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.67 fof(f37,axiom,(
% 0.13/5.67 (! [Vd203,Vd204] :( ~ greater(Vd203,Vd204)| ~ less(Vd203,Vd204) ) )),
% 0.13/5.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.67 fof(f57,plain,(
% 0.13/5.67 ~greater(vd486,vd488)),
% 0.13/5.67 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/5.67 fof(f58,plain,(
% 0.13/5.67 greater(vmul(vd486,vd487),vmul(vd488,vd487))),
% 0.13/5.67 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/5.67 fof(f59,plain,(
% 0.13/5.67 ![Vd456,Vd465,Vd466]: (~less(Vd465,Vd466)|less(vmul(Vd465,Vd456),vmul(Vd466,Vd456)))),
% 0.13/5.67 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.13/5.67 fof(f60,plain,(
% 0.13/5.67 ![Vd465,Vd466]: (~less(Vd465,Vd466)|(![Vd456]: less(vmul(Vd465,Vd456),vmul(Vd466,Vd456))))),
% 0.13/5.67 inference(miniscoping,[status(thm)],[f59])).
% 0.13/5.67 fof(f61,plain,(
% 0.13/5.67 ![X0,X1,X2]: (~less(X0,X1)|less(vmul(X0,X2),vmul(X1,X2)))),
% 0.13/5.67 inference(cnf_transformation,[status(thm)],[f60])).
% 0.13/5.67 fof(f133,plain,(
% 0.13/5.67 ![Vd208,Vd209]: (~greater(Vd208,Vd209)|less(Vd209,Vd208))),
% 0.13/5.67 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 0.13/5.67 fof(f134,plain,(
% 0.13/5.67 ![X0,X1]: (~greater(X0,X1)|less(X1,X0))),
% 0.13/5.67 inference(cnf_transformation,[status(thm)],[f133])).
% 0.13/5.67 fof(f135,plain,(
% 0.13/5.67 ![X0,X1]: (X0=X1|greater(X0,X1)|less(X0,X1))),
% 0.13/5.67 inference(cnf_transformation,[status(thm)],[f35])).
% 0.13/5.67 fof(f136,plain,(
% 0.13/5.67 ![X0,X1]: (~X0=X1|~less(X0,X1))),
% 0.13/5.67 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/5.67 fof(f137,plain,(
% 0.13/5.67 ![X0,X1]: (~greater(X0,X1)|~less(X0,X1))),
% 0.13/5.67 inference(cnf_transformation,[status(thm)],[f37])).
% 0.13/5.67 fof(f177,plain,(
% 0.13/5.67 ![X0]: (~less(X0,X0))),
% 0.13/5.67 inference(destructive_equality_resolution,[status(thm)],[f136])).
% 0.13/5.67 fof(f463,plain,(
% 0.13/5.67 less(vmul(vd488,vd487),vmul(vd486,vd487))),
% 0.13/5.67 inference(resolution,[status(thm)],[f134,f58])).
% 0.13/5.67 fof(f482,plain,(
% 0.13/5.67 ~less(vmul(vd486,vd487),vmul(vd488,vd487))),
% 0.13/5.67 inference(resolution,[status(thm)],[f137,f58])).
% 0.13/5.67 fof(f2017,plain,(
% 0.13/5.67 vd486=vd488|less(vd486,vd488)),
% 0.13/5.67 inference(resolution,[status(thm)],[f135,f57])).
% 0.13/5.67 fof(f2029,definition,(
% 0.13/5.67 sQ4_spl <=> (vd486=vd488)),
% 0.13/5.67 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/5.67 fof(f2030,plain,(
% 0.13/5.67 vd486=vd488|~sQ4_spl),
% 0.13/5.67 inference(component_clause,[status(thm)],[f2029])).
% 0.13/5.67 fof(f2032,definition,(
% 0.13/5.67 sQ5_spl <=> (less(vd486,vd488))),
% 0.13/5.67 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/5.67 fof(f2033,plain,(
% 0.13/5.67 less(vd486,vd488)|~sQ5_spl),
% 0.13/5.67 inference(component_clause,[status(thm)],[f2032])).
% 0.13/5.67 fof(f2035,plain,(
% 0.13/5.67 sQ4_spl|sQ5_spl),
% 0.13/5.67 inference(split_clause,[status(thm)],[f2017,f2029,f2032])).
% 0.13/5.67 fof(f2037,plain,(
% 0.13/5.67 less(vmul(vd488,vd487),vmul(vd488,vd487))|~sQ4_spl),
% 0.13/5.67 inference(backward_demodulation,[status(thm)],[f2030,f463])).
% 0.13/5.67 fof(f2048,plain,(
% 0.13/5.67 $false|~sQ4_spl),
% 0.13/5.67 inference(forward_subsumption_resolution,[status(thm)],[f2037,f177])).
% 0.13/5.67 fof(f2049,plain,(
% 0.13/5.67 ~sQ4_spl),
% 0.13/5.67 inference(contradiction_clause,[status(thm)],[f2048])).
% 0.13/5.67 fof(f2058,plain,(
% 0.13/5.67 ![X0]: (less(vmul(vd486,X0),vmul(vd488,X0))|~sQ5_spl)),
% 0.13/5.67 inference(resolution,[status(thm)],[f2033,f61])).
% 0.13/5.67 fof(f4659,plain,(
% 0.13/5.67 $false|~sQ5_spl),
% 0.13/5.67 inference(forward_subsumption_resolution,[status(thm)],[f482,f2058])).
% 0.13/5.68 fof(f4660,plain,(
% 0.13/5.68 ~sQ5_spl),
% 0.13/5.68 inference(contradiction_clause,[status(thm)],[f4659])).
% 0.13/5.68 fof(f4661,plain,(
% 0.13/5.68 $false),
% 0.13/5.68 inference(sat_refutation,[status(thm)],[f2035,f2049,f4660])).
% 0.13/5.68 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.69 % Elapsed time: 0.137371 seconds
% 0.13/5.69 % CPU time: 0.785834 seconds
% 0.13/5.69 % Total memory used: 116.658 MB
% 0.13/5.69 % Net memory used: 114.989 MB
%------------------------------------------------------------------------------