%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM853+2 : 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 : n016.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 0.14s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM853+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.54 % Computer : n016.cluster.edu
% 0.11/0.54 % Model : x86_64 x86_64
% 0.11/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.54 % Memory : 8046.5625MB
% 0.11/0.54 % OS : Linux 6.8.0-71-generic
% 0.11/0.54 % CPULimit : 300
% 0.11/0.54 % WCLimit : 300
% 0.11/0.54 % DateTime : Mon Sep 21 03:18:08 UTC 2026
% 0.11/0.54 % CPUTime :
% 0.14/0.56 % Drodi V4.1.1
% 0.14/0.59 % Refutation found
% 0.14/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.59 fof(f1,conjecture,(
% 0.14/0.59 greater(vd486,vd488) ),
% 0.14/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f2,negated_conjecture,(
% 0.14/0.59 ~(greater(vd486,vd488) )),
% 0.14/0.59 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.59 fof(f3,axiom,(
% 0.14/0.59 greater(vmul(vd486,vd487),vmul(vd488,vd487)) ),
% 0.14/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f4,axiom,(
% 0.14/0.59 (! [Vd456,Vd465,Vd466] :( less(Vd465,Vd466)=> less(vmul(Vd465,Vd456),vmul(Vd466,Vd456)) ) )),
% 0.14/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f19,axiom,(
% 0.14/0.59 (! [Vd203,Vd204] :( Vd203 = Vd204| greater(Vd203,Vd204)| less(Vd203,Vd204) ) )),
% 0.14/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f21,axiom,(
% 0.14/0.59 (! [Vd203,Vd204] :( ~ greater(Vd203,Vd204)| ~ less(Vd203,Vd204) ) )),
% 0.14/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f22,axiom,(
% 0.14/0.59 (! [Vd203,Vd204] :( Vd203 != Vd204| ~ greater(Vd203,Vd204) ) )),
% 0.14/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f39,plain,(
% 0.14/0.59 ~greater(vd486,vd488)),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.59 fof(f40,plain,(
% 0.14/0.59 greater(vmul(vd486,vd487),vmul(vd488,vd487))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.59 fof(f41,plain,(
% 0.14/0.59 ![Vd456,Vd465,Vd466]: (~less(Vd465,Vd466)|less(vmul(Vd465,Vd456),vmul(Vd466,Vd456)))),
% 0.14/0.59 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.14/0.59 fof(f42,plain,(
% 0.14/0.59 ![Vd465,Vd466]: (~less(Vd465,Vd466)|(![Vd456]: less(vmul(Vd465,Vd456),vmul(Vd466,Vd456))))),
% 0.14/0.59 inference(miniscoping,[status(thm)],[f41])).
% 0.14/0.59 fof(f43,plain,(
% 0.14/0.59 ![X0,X1,X2]: (~less(X0,X1)|less(vmul(X0,X2),vmul(X1,X2)))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f42])).
% 0.14/0.59 fof(f69,plain,(
% 0.14/0.59 ![X0,X1]: (X0=X1|greater(X0,X1)|less(X0,X1))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.59 fof(f71,plain,(
% 0.14/0.59 ![X0,X1]: (~greater(X0,X1)|~less(X0,X1))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.59 fof(f72,plain,(
% 0.14/0.59 ![X0,X1]: (~X0=X1|~greater(X0,X1))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.59 fof(f107,plain,(
% 0.14/0.59 ![X0]: (~greater(X0,X0))),
% 0.14/0.59 inference(destructive_equality_resolution,[status(thm)],[f72])).
% 0.14/0.59 fof(f472,plain,(
% 0.14/0.59 vd486=vd488|less(vd486,vd488)),
% 0.14/0.59 inference(resolution,[status(thm)],[f69,f39])).
% 0.14/0.59 fof(f482,plain,(
% 0.14/0.59 ![X0]: (vd486=vd488|less(vmul(vd486,X0),vmul(vd488,X0)))),
% 0.14/0.59 inference(resolution,[status(thm)],[f472,f43])).
% 0.14/0.59 fof(f484,plain,(
% 0.14/0.59 ![X0]: (vd486=vd488|~greater(vmul(vd486,X0),vmul(vd488,X0)))),
% 0.14/0.59 inference(resolution,[status(thm)],[f482,f71])).
% 0.14/0.59 fof(f497,plain,(
% 0.14/0.59 vd486=vd488),
% 0.14/0.59 inference(resolution,[status(thm)],[f484,f40])).
% 0.14/0.59 fof(f513,plain,(
% 0.14/0.59 greater(vmul(vd488,vd487),vmul(vd488,vd487))),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f497,f40])).
% 0.14/0.59 fof(f522,plain,(
% 0.14/0.59 $false),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f513,f107])).
% 0.14/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.61 % Elapsed time: 0.062705 seconds
% 0.14/0.61 % CPU time: 0.222962 seconds
% 0.14/0.61 % Total memory used: 88.587 MB
% 0.14/0.61 % Net memory used: 88.406 MB
%------------------------------------------------------------------------------