%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM839+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 : 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 01:43:54 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM839+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.33 % Computer : n008.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Mon Sep 21 03:13:23 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,conjecture,(
% 0.13/0.38 greater(vd328,vd329) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,negated_conjecture,(
% 0.13/0.38 ~(greater(vd328,vd329) )),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 greater(vplus(vd328,vd330),vplus(vd329,vd330)) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,axiom,(
% 0.13/0.38 (! [Vd301,Vd302,Vd303] :( greater(Vd301,Vd302)=> greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f15,axiom,(
% 0.13/0.38 (! [Vd226,Vd227] :( less(Vd226,Vd227)=> greater(Vd227,Vd226) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f16,axiom,(
% 0.13/0.38 (! [Vd208,Vd209] :( greater(Vd208,Vd209)=> less(Vd209,Vd208) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f17,axiom,(
% 0.13/0.38 (! [Vd203,Vd204] :( Vd203 = Vd204| greater(Vd203,Vd204)| less(Vd203,Vd204) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f19,axiom,(
% 0.13/0.38 (! [Vd203,Vd204] :( ~ greater(Vd203,Vd204)| ~ less(Vd203,Vd204) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f20,axiom,(
% 0.13/0.38 (! [Vd203,Vd204] :( Vd203 != Vd204| ~ greater(Vd203,Vd204) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f37,plain,(
% 0.13/0.38 ~greater(vd328,vd329)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f38,plain,(
% 0.13/0.38 greater(vplus(vd328,vd330),vplus(vd329,vd330))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f45,plain,(
% 0.13/0.38 ![Vd301,Vd302,Vd303]: (~greater(Vd301,Vd302)|greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.13/0.38 fof(f46,plain,(
% 0.13/0.38 ![Vd301,Vd302]: (~greater(Vd301,Vd302)|(![Vd303]: greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f45])).
% 0.13/0.38 fof(f47,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~greater(X0,X1)|greater(vplus(X0,X2),vplus(X1,X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f46])).
% 0.13/0.38 fof(f73,plain,(
% 0.13/0.38 ![Vd226,Vd227]: (~less(Vd226,Vd227)|greater(Vd227,Vd226))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.13/0.38 fof(f74,plain,(
% 0.13/0.38 ![X0,X1]: (~less(X0,X1)|greater(X1,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f73])).
% 0.13/0.38 fof(f75,plain,(
% 0.13/0.38 ![Vd208,Vd209]: (~greater(Vd208,Vd209)|less(Vd209,Vd208))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f76,plain,(
% 0.13/0.38 ![X0,X1]: (~greater(X0,X1)|less(X1,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/0.38 fof(f77,plain,(
% 0.13/0.38 ![X0,X1]: (X0=X1|greater(X0,X1)|less(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.38 fof(f79,plain,(
% 0.13/0.38 ![X0,X1]: (~greater(X0,X1)|~less(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.38 fof(f80,plain,(
% 0.13/0.38 ![X0,X1]: (~X0=X1|~greater(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.38 fof(f117,plain,(
% 0.13/0.38 ![X0]: (~greater(X0,X0))),
% 0.13/0.38 inference(destructive_equality_resolution,[status(thm)],[f80])).
% 0.13/0.38 fof(f126,plain,(
% 0.13/0.38 ![X0,X1]: (~greater(X0,X1)|~greater(X1,X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f79,f76])).
% 0.13/0.38 fof(f129,plain,(
% 0.13/0.38 ![X0,X1]: (X0=X1|greater(X0,X1)|greater(X1,X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f77,f74])).
% 0.13/0.38 fof(f136,plain,(
% 0.13/0.38 ~greater(vplus(vd329,vd330),vplus(vd328,vd330))),
% 0.13/0.38 inference(resolution,[status(thm)],[f126,f38])).
% 0.13/0.38 fof(f140,plain,(
% 0.13/0.38 vd328=vd329|greater(vd329,vd328)),
% 0.13/0.38 inference(resolution,[status(thm)],[f129,f37])).
% 0.13/0.38 fof(f158,plain,(
% 0.13/0.38 ~greater(vd329,vd328)),
% 0.13/0.38 inference(resolution,[status(thm)],[f136,f47])).
% 0.13/0.38 fof(f161,plain,(
% 0.13/0.38 vd328=vd329),
% 0.13/0.38 inference(backward_subsumption_resolution,[status(thm)],[f140,f158])).
% 0.13/0.38 fof(f163,plain,(
% 0.13/0.38 greater(vplus(vd328,vd330),vplus(vd328,vd330))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f161,f38])).
% 0.13/0.38 fof(f166,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f163,f117])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.065338 seconds
% 0.13/0.41 % CPU time: 0.165410 seconds
% 0.13/0.41 % Total memory used: 102.409 MB
% 0.13/0.41 % Net memory used: 102.306 MB
%------------------------------------------------------------------------------