%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM840+2 : 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 : n019.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 01:43:55 PM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM840+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 03:12:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,conjecture,(
% 0.09/0.39 less(vd328,vd329) ),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,negated_conjecture,(
% 0.09/0.39 ~(less(vd328,vd329) )),
% 0.09/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.39 fof(f3,axiom,(
% 0.09/0.39 less(vplus(vd328,vd330),vplus(vd329,vd330)) ),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f8,axiom,(
% 0.09/0.39 (! [Vd301,Vd302,Vd303] :( greater(Vd301,Vd302)=> greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f11,axiom,(
% 0.09/0.39 (! [Vd203,Vd204] :( Vd203 = Vd204| greater(Vd203,Vd204)| less(Vd203,Vd204) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f12,axiom,(
% 0.09/0.39 (! [Vd203,Vd204] :( Vd203 != Vd204| ~ less(Vd203,Vd204) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f13,axiom,(
% 0.09/0.39 (! [Vd203,Vd204] :( ~ greater(Vd203,Vd204)| ~ less(Vd203,Vd204) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f28,plain,(
% 0.09/0.39 ~less(vd328,vd329)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f29,plain,(
% 0.09/0.39 less(vplus(vd328,vd330),vplus(vd329,vd330))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f40,plain,(
% 0.09/0.39 ![Vd301,Vd302,Vd303]: (~greater(Vd301,Vd302)|greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.09/0.39 fof(f41,plain,(
% 0.09/0.39 ![Vd301,Vd302]: (~greater(Vd301,Vd302)|(![Vd303]: greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303))))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f40])).
% 0.09/0.39 fof(f42,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~greater(X0,X1)|greater(vplus(X0,X2),vplus(X1,X2)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f41])).
% 0.09/0.39 fof(f47,plain,(
% 0.09/0.39 ![X0,X1]: (X0=X1|greater(X0,X1)|less(X0,X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.39 fof(f48,plain,(
% 0.09/0.39 ![X0,X1]: (~X0=X1|~less(X0,X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.39 fof(f49,plain,(
% 0.09/0.39 ![X0,X1]: (~greater(X0,X1)|~less(X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.40 fof(f82,definition,(
% 0.09/0.40 sQ1_spl <=> (vd328=vd329)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f83,plain,(
% 0.09/0.40 vd328=vd329|~sQ1_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f82])).
% 0.09/0.40 fof(f89,definition,(
% 0.09/0.40 sQ3_spl <=> (greater(vd328,vd329))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f90,plain,(
% 0.09/0.40 greater(vd328,vd329)|~sQ3_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.09/0.40 fof(f93,plain,(
% 0.09/0.40 ![X0]: (~less(X0,X0))),
% 0.09/0.40 inference(destructive_equality_resolution,[status(thm)],[f48])).
% 0.09/0.40 fof(f103,plain,(
% 0.09/0.40 ~greater(vplus(vd328,vd330),vplus(vd329,vd330))),
% 0.09/0.40 inference(resolution,[status(thm)],[f49,f29])).
% 0.09/0.40 fof(f105,plain,(
% 0.09/0.40 vd328=vd329|greater(vd328,vd329)),
% 0.09/0.40 inference(resolution,[status(thm)],[f47,f28])).
% 0.09/0.40 fof(f109,plain,(
% 0.09/0.40 sQ1_spl|sQ3_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f105,f82,f89])).
% 0.09/0.40 fof(f110,plain,(
% 0.09/0.40 less(vplus(vd329,vd330),vplus(vd329,vd330))|~sQ1_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f83,f29])).
% 0.09/0.40 fof(f112,plain,(
% 0.09/0.40 $false|~sQ1_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f110,f93])).
% 0.09/0.40 fof(f113,plain,(
% 0.09/0.40 ~sQ1_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f112])).
% 0.09/0.40 fof(f165,plain,(
% 0.09/0.40 ![X0]: (greater(vplus(vd328,X0),vplus(vd329,X0))|~sQ3_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f42,f90])).
% 0.09/0.40 fof(f726,plain,(
% 0.09/0.40 $false|~sQ3_spl),
% 0.09/0.40 inference(backward_subsumption_resolution,[status(thm)],[f103,f165])).
% 0.09/0.40 fof(f740,plain,(
% 0.09/0.40 ~sQ3_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f726])).
% 0.09/0.40 fof(f741,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(sat_refutation,[status(thm)],[f109,f113,f740])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.053668 seconds
% 0.09/0.42 % CPU time: 0.179834 seconds
% 0.09/0.42 % Total memory used: 83.967 MB
% 0.09/0.42 % Net memory used: 83.660 MB
%------------------------------------------------------------------------------