%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM852+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 : n007.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 0.12s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM852+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
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 03:11:20 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f1,conjecture,(
% 0.12/0.41 greater(vmul(vd481,vd469),vmul(vd480,vd469)) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f2,negated_conjecture,(
% 0.12/0.41 ~(greater(vmul(vd481,vd469),vmul(vd480,vd469)) )),
% 0.12/0.41 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.41 fof(f3,axiom,(
% 0.12/0.41 greater(vd481,vd480) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f7,axiom,(
% 0.12/0.41 (! [Vd470,Vd471] :( greater(Vd470,Vd471)=> vmul(vplus(Vd471,vskolem9(Vd470,Vd471)),vd469) = vplus(vmul(Vd471,vd469),vmul(vskolem9(Vd470,Vd471),vd469)) ) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f8,axiom,(
% 0.12/0.41 (! [Vd470,Vd471] :( greater(Vd470,Vd471)=> vmul(Vd470,vd469) = vmul(vplus(Vd471,vskolem9(Vd470,Vd471)),vd469) ) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f21,axiom,(
% 0.12/0.41 (! [Vd193,Vd194] :( greater(Vd194,Vd193)<=> (? [Vd196] : Vd194 = vplus(Vd193,Vd196) )) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f22,plain,(
% 0.12/0.41 ~greater(vmul(vd481,vd469),vmul(vd480,vd469))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.41 fof(f23,plain,(
% 0.12/0.41 greater(vd481,vd480)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.41 fof(f29,plain,(
% 0.12/0.41 ![Vd470,Vd471]: (~greater(Vd470,Vd471)|vmul(vplus(Vd471,vskolem9(Vd470,Vd471)),vd469)=vplus(vmul(Vd471,vd469),vmul(vskolem9(Vd470,Vd471),vd469)))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.12/0.41 fof(f30,plain,(
% 0.12/0.41 ![X0,X1]: (~greater(X0,X1)|vmul(vplus(X1,vskolem9(X0,X1)),vd469)=vplus(vmul(X1,vd469),vmul(vskolem9(X0,X1),vd469)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.41 fof(f31,plain,(
% 0.12/0.41 ![Vd470,Vd471]: (~greater(Vd470,Vd471)|vmul(Vd470,vd469)=vmul(vplus(Vd471,vskolem9(Vd470,Vd471)),vd469))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.12/0.41 fof(f32,plain,(
% 0.12/0.41 ![X0,X1]: (~greater(X0,X1)|vmul(X0,vd469)=vmul(vplus(X1,vskolem9(X0,X1)),vd469))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.41 fof(f52,plain,(
% 0.12/0.41 ![Vd193,Vd194]: ((~greater(Vd194,Vd193)|(?[Vd196]: Vd194=vplus(Vd193,Vd196)))&(greater(Vd194,Vd193)|(![Vd196]: ~Vd194=vplus(Vd193,Vd196))))),
% 0.12/0.41 inference(NNF_transformation,[status(thm)],[f21])).
% 0.12/0.41 fof(f53,plain,(
% 0.12/0.41 (![Vd193,Vd194]: (~greater(Vd194,Vd193)|(?[Vd196]: Vd194=vplus(Vd193,Vd196))))&(![Vd193,Vd194]: (greater(Vd194,Vd193)|(![Vd196]: ~Vd194=vplus(Vd193,Vd196))))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f52])).
% 0.12/0.41 fof(f54,plain,(
% 0.12/0.41 (![Vd193,Vd194]: (~greater(Vd194,Vd193)|Vd194=vplus(Vd193,sK1_skl(Vd194,Vd193))))&(![Vd193,Vd194]: (greater(Vd194,Vd193)|(![Vd196]: ~Vd194=vplus(Vd193,Vd196))))),
% 0.12/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Vd196,sK1_skl(Vd194,Vd193))],[f53])).
% 0.12/0.41 fof(f56,plain,(
% 0.12/0.41 ![X0,X1,X2]: (greater(X0,X1)|~X0=vplus(X1,X2))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f54])).
% 0.12/0.41 fof(f60,plain,(
% 0.12/0.41 ![X0,X1]: (greater(vplus(X0,X1),X0))),
% 0.12/0.41 inference(destructive_equality_resolution,[status(thm)],[f56])).
% 0.12/0.41 fof(f160,plain,(
% 0.12/0.41 vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469)=vplus(vmul(vd480,vd469),vmul(vskolem9(vd481,vd480),vd469))),
% 0.12/0.41 inference(resolution,[status(thm)],[f30,f23])).
% 0.12/0.41 fof(f162,plain,(
% 0.12/0.41 vmul(vd481,vd469)=vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469)),
% 0.12/0.41 inference(resolution,[status(thm)],[f32,f23])).
% 0.12/0.41 fof(f164,plain,(
% 0.12/0.41 vmul(vd481,vd469)=vplus(vmul(vd480,vd469),vmul(vskolem9(vd481,vd480),vd469))),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f162,f160])).
% 0.12/0.41 fof(f174,plain,(
% 0.12/0.41 greater(vmul(vd481,vd469),vmul(vd480,vd469))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f164,f60])).
% 0.12/0.41 fof(f176,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f174,f22])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.44 % Elapsed time: 0.056570 seconds
% 0.12/0.44 % CPU time: 0.165066 seconds
% 0.12/0.44 % Total memory used: 102.018 MB
% 0.12/0.44 % Net memory used: 101.688 MB
%------------------------------------------------------------------------------