%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM840+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 : 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 01:43:55 PM UTC 2026
% Result : Theorem 0.14s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM840+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.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 : Mon Sep 21 03:12:42 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.14/0.42 % Refutation found
% 0.14/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.42 fof(f1,conjecture,(
% 0.14/0.42 less(vd328,vd329) ),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f2,negated_conjecture,(
% 0.14/0.42 ~(less(vd328,vd329) )),
% 0.14/0.42 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.42 fof(f3,axiom,(
% 0.14/0.42 less(vplus(vd328,vd330),vplus(vd329,vd330)) ),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f8,axiom,(
% 0.14/0.42 (! [Vd301,Vd302,Vd303] :( greater(Vd301,Vd302)=> greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f19,axiom,(
% 0.14/0.42 (! [Vd203,Vd204] :( Vd203 = Vd204| greater(Vd203,Vd204)| less(Vd203,Vd204) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f20,axiom,(
% 0.14/0.42 (! [Vd203,Vd204] :( Vd203 != Vd204| ~ less(Vd203,Vd204) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f21,axiom,(
% 0.14/0.42 (! [Vd203,Vd204] :( ~ greater(Vd203,Vd204)| ~ less(Vd203,Vd204) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f41,plain,(
% 0.14/0.42 ~less(vd328,vd329)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.42 fof(f42,plain,(
% 0.14/0.42 less(vplus(vd328,vd330),vplus(vd329,vd330))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.42 fof(f53,plain,(
% 0.14/0.42 ![Vd301,Vd302,Vd303]: (~greater(Vd301,Vd302)|greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)))),
% 0.14/0.42 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.14/0.42 fof(f54,plain,(
% 0.14/0.42 ![Vd301,Vd302]: (~greater(Vd301,Vd302)|(![Vd303]: greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303))))),
% 0.14/0.42 inference(miniscoping,[status(thm)],[f53])).
% 0.14/0.42 fof(f55,plain,(
% 0.14/0.42 ![X0,X1,X2]: (~greater(X0,X1)|greater(vplus(X0,X2),vplus(X1,X2)))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f54])).
% 0.14/0.42 fof(f85,plain,(
% 0.14/0.42 ![X0,X1]: (X0=X1|greater(X0,X1)|less(X0,X1))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.42 fof(f86,plain,(
% 0.14/0.42 ![X0,X1]: (~X0=X1|~less(X0,X1))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.42 fof(f87,plain,(
% 0.14/0.42 ![X0,X1]: (~greater(X0,X1)|~less(X0,X1))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.42 fof(f127,plain,(
% 0.14/0.42 ![X0]: (~less(X0,X0))),
% 0.14/0.42 inference(destructive_equality_resolution,[status(thm)],[f86])).
% 0.14/0.42 fof(f457,plain,(
% 0.14/0.42 vd328=vd329|greater(vd328,vd329)),
% 0.14/0.42 inference(resolution,[status(thm)],[f85,f41])).
% 0.14/0.42 fof(f478,plain,(
% 0.14/0.42 ![X0]: (vd328=vd329|greater(vplus(vd328,X0),vplus(vd329,X0)))),
% 0.14/0.42 inference(resolution,[status(thm)],[f457,f55])).
% 0.14/0.42 fof(f483,plain,(
% 0.14/0.42 ![X0]: (vd328=vd329|~less(vplus(vd328,X0),vplus(vd329,X0)))),
% 0.14/0.42 inference(resolution,[status(thm)],[f478,f87])).
% 0.14/0.42 fof(f502,plain,(
% 0.14/0.42 vd328=vd329),
% 0.14/0.42 inference(resolution,[status(thm)],[f483,f42])).
% 0.14/0.42 fof(f527,plain,(
% 0.14/0.42 less(vplus(vd328,vd330),vplus(vd328,vd330))),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f502,f42])).
% 0.14/0.42 fof(f600,plain,(
% 0.14/0.42 $false),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f527,f127])).
% 0.14/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.45 % Elapsed time: 0.092136 seconds
% 0.14/0.45 % CPU time: 0.402746 seconds
% 0.14/0.45 % Total memory used: 106.533 MB
% 0.14/0.45 % Net memory used: 105.899 MB
%------------------------------------------------------------------------------