%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM492+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 01:43:02 PM UTC 2026
% Result : Theorem 241.20s 30.84s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM492+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 02:36:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 241.20/30.84 % Refutation found
% 241.20/30.84 % SZS status Theorem for theBenchmark: Theorem is valid
% 241.20/30.84 % SZS output start CNFRefutation for theBenchmark
% 241.20/30.84 fof(f5,axiom,(
% 241.20/30.84 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 241.20/30.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 241.20/30.84 fof(f9,axiom,(
% 241.20/30.84 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) )),
% 241.20/30.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 241.20/30.84 fof(f19,definition,(
% 241.20/30.84 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)=> (! [W2] :( W2 = sdtmndt0(W1,W0)<=> ( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) ) )) ) )),
% 241.20/30.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 241.20/30.84 fof(f34,axiom,(
% 241.20/30.84 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( doDivides0(W0,W1)& doDivides0(W0,sdtpldt0(W1,W2)) )=> doDivides0(W0,W2) ) ) )),
% 241.20/30.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 241.20/30.84 fof(f39,hypothesis,(
% 241.20/30.84 ( aNaturalNumber0(xn)& aNaturalNumber0(xm)& aNaturalNumber0(xp) ) ),
% 241.20/30.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 241.20/30.84 fof(f41,hypothesis,(
% 241.20/30.84 ( isPrime0(xp)& doDivides0(xp,sdtasdt0(xn,xm)) ) ),
% 241.20/30.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 241.20/30.84 fof(f42,hypothesis,(
% 241.20/30.84 sdtlseqdt0(xp,xn) ),
% 241.20/30.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 241.20/30.84 fof(f43,hypothesis,(
% 241.20/30.84 xr = sdtmndt0(xn,xp) ),
% 241.20/30.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 241.20/30.84 fof(f46,hypothesis,(
% 241.20/30.84 sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) ),
% 241.20/30.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 241.20/30.84 fof(f48,hypothesis,(
% 241.20/30.84 ( doDivides0(xp,sdtasdt0(xn,xm))& doDivides0(xp,sdtasdt0(xp,xm)) ) ),
% 241.20/30.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 241.20/30.84 fof(f49,conjecture,(
% 241.20/30.84 doDivides0(xp,sdtasdt0(xr,xm)) ),
% 241.20/30.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 241.20/30.84 fof(f50,negated_conjecture,(
% 241.20/30.84 ~(doDivides0(xp,sdtasdt0(xr,xm)) )),
% 241.20/30.84 inference(negated_conjecture,[status(cth)],[f49])).
% 241.20/30.84 fof(f59,plain,(
% 241.20/30.85 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 241.20/30.85 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 241.20/30.85 fof(f60,plain,(
% 241.20/30.85 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 241.20/30.85 inference(cnf_transformation,[status(thm)],[f59])).
% 241.20/30.85 fof(f68,plain,(
% 241.20/30.85 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|sdtasdt0(W0,W1)=sdtasdt0(W1,W0))),
% 241.20/30.85 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 241.20/30.85 fof(f69,plain,(
% 241.20/30.85 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 241.20/30.85 inference(cnf_transformation,[status(thm)],[f68])).
% 241.20/30.85 fof(f98,plain,(
% 241.20/30.85 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtlseqdt0(W0,W1)|(![W2]: (W2=sdtmndt0(W1,W0)<=>(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))))),
% 241.20/30.85 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 241.20/30.85 fof(f99,plain,(
% 241.20/30.85 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtlseqdt0(W0,W1)|(![W2]: ((~W2=sdtmndt0(W1,W0)|(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))&(W2=sdtmndt0(W1,W0)|(~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1))))))),
% 241.20/30.85 inference(NNF_transformation,[status(thm)],[f98])).
% 241.20/30.85 fof(f100,plain,(
% 241.20/30.85 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtlseqdt0(W0,W1)|((![W2]: (~W2=sdtmndt0(W1,W0)|(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))&(![W2]: (W2=sdtmndt0(W1,W0)|(~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1))))))),
% 241.20/30.85 inference(miniscoping,[status(thm)],[f99])).
% 241.20/30.85 fof(f101,plain,(
% 241.20/30.85 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~X2=sdtmndt0(X1,X0)|aNaturalNumber0(X2))),
% 241.20/30.85 inference(cnf_transformation,[status(thm)],[f100])).
% 241.20/30.85 fof(f148,plain,(
% 241.20/30.85 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~doDivides0(W0,W1)|~doDivides0(W0,sdtpldt0(W1,W2)))|doDivides0(W0,W2)))),
% 241.20/30.85 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 241.20/30.85 fof(f149,plain,(
% 241.20/30.85 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X0,X1)|~doDivides0(X0,sdtpldt0(X1,X2))|doDivides0(X0,X2))),
% 241.20/30.85 inference(cnf_transformation,[status(thm)],[f148])).
% 241.20/30.85 fof(f169,plain,(
% 241.20/30.85 aNaturalNumber0(xn)),
% 241.20/30.85 inference(cnf_transformation,[status(thm)],[f39])).
% 241.20/30.85 fof(f170,plain,(
% 241.20/30.85 aNaturalNumber0(xm)),
% 241.20/30.85 inference(cnf_transformation,[status(thm)],[f39])).
% 241.20/30.85 fof(f171,plain,(
% 241.20/30.85 aNaturalNumber0(xp)),
% 241.20/30.85 inference(cnf_transformation,[status(thm)],[f39])).
% 241.20/30.85 fof(f175,plain,(
% 241.20/30.85 doDivides0(xp,sdtasdt0(xn,xm))),
% 241.20/30.85 inference(cnf_transformation,[status(thm)],[f41])).
% 241.20/30.85 fof(f176,plain,(
% 241.20/30.85 sdtlseqdt0(xp,xn)),
% 241.20/30.85 inference(cnf_transformation,[status(thm)],[f42])).
% 241.20/30.85 fof(f177,plain,(
% 241.20/30.85 xr=sdtmndt0(xn,xp)),
% 241.20/30.85 inference(cnf_transformation,[status(thm)],[f43])).
% 241.20/30.85 fof(f181,plain,(
% 241.20/30.85 sdtasdt0(xn,xm)=sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm))),
% 241.20/30.85 inference(cnf_transformation,[status(thm)],[f46])).
% 241.20/30.85 fof(f184,plain,(
% 241.20/30.85 doDivides0(xp,sdtasdt0(xp,xm))),
% 241.20/30.85 inference(cnf_transformation,[status(thm)],[f48])).
% 241.20/30.85 fof(f185,plain,(
% 241.20/30.85 ~doDivides0(xp,sdtasdt0(xr,xm))),
% 241.20/30.85 inference(cnf_transformation,[status(thm)],[f50])).
% 241.20/30.85 fof(f188,plain,(
% 241.20/30.85 ![X0]: (~aNaturalNumber0(X0)|aNaturalNumber0(sdtasdt0(xp,X0)))),
% 241.20/30.85 inference(resolution,[status(thm)],[f60,f171])).
% 241.20/30.85 fof(f191,plain,(
% 241.20/30.85 aNaturalNumber0(sdtasdt0(xp,xm))),
% 241.20/30.85 inference(resolution,[status(thm)],[f188,f170])).
% 241.20/30.85 fof(f231,plain,(
% 241.20/30.85 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(xm,X0)=sdtasdt0(X0,xm))),
% 241.20/30.85 inference(resolution,[status(thm)],[f69,f170])).
% 241.20/30.85 fof(f1116,plain,(
% 241.20/30.85 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(xp,xm))|~aNaturalNumber0(sdtasdt0(xr,xm))|~doDivides0(X0,sdtasdt0(xp,xm))|~doDivides0(X0,sdtasdt0(xn,xm))|doDivides0(X0,sdtasdt0(xr,xm)))),
% 241.20/30.85 inference(paramodulation,[status(thm)],[f181,f149])).
% 241.20/30.85 fof(f1117,plain,(
% 241.20/30.85 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(xr,xm))|~doDivides0(X0,sdtasdt0(xp,xm))|~doDivides0(X0,sdtasdt0(xn,xm))|doDivides0(X0,sdtasdt0(xr,xm)))),
% 241.20/30.85 inference(forward_subsumption_resolution,[status(thm)],[f1116,f191])).
% 241.20/30.85 fof(f4620,plain,(
% 241.20/30.85 ![X0]: (~aNaturalNumber0(xp)|~aNaturalNumber0(xn)|~X0=sdtmndt0(xn,xp)|aNaturalNumber0(X0))),
% 241.20/30.85 inference(resolution,[status(thm)],[f101,f176])).
% 241.20/30.85 fof(f4632,plain,(
% 241.20/30.85 ![X0]: (~aNaturalNumber0(xp)|~aNaturalNumber0(xn)|~X0=xr|aNaturalNumber0(X0))),
% 241.20/30.85 inference(forward_demodulation,[status(thm)],[f177,f4620])).
% 241.20/30.85 fof(f4633,plain,(
% 241.20/30.85 ![X0]: (~aNaturalNumber0(xn)|~X0=xr|aNaturalNumber0(X0))),
% 241.20/30.85 inference(forward_subsumption_resolution,[status(thm)],[f4632,f171])).
% 241.20/30.85 fof(f4836,plain,(
% 241.20/30.85 ![X0]: (~X0=xr|aNaturalNumber0(X0))),
% 241.20/30.85 inference(forward_subsumption_resolution,[status(thm)],[f4633,f169])).
% 241.20/30.85 fof(f4837,plain,(
% 241.20/30.85 aNaturalNumber0(sdtmndt0(xn,xp))),
% 241.20/30.85 inference(resolution,[status(thm)],[f4836,f177])).
% 241.20/30.85 fof(f4839,plain,(
% 241.20/30.85 aNaturalNumber0(xr)),
% 241.20/30.85 inference(forward_demodulation,[status(thm)],[f177,f4837])).
% 241.20/30.85 fof(f4862,plain,(
% 241.20/30.85 sdtasdt0(xm,xr)=sdtasdt0(xr,xm)),
% 241.20/30.85 inference(resolution,[status(thm)],[f4839,f231])).
% 241.20/30.85 fof(f4888,plain,(
% 241.20/30.85 ![X0]: (~aNaturalNumber0(X0)|aNaturalNumber0(sdtasdt0(xr,X0)))),
% 241.20/30.85 inference(resolution,[status(thm)],[f4839,f60])).
% 241.20/30.85 fof(f6272,plain,(
% 241.20/30.85 aNaturalNumber0(sdtasdt0(xr,xm))),
% 241.20/30.85 inference(resolution,[status(thm)],[f4888,f170])).
% 241.20/30.85 fof(f7592,plain,(
% 241.20/30.85 ![X0]: (~aNaturalNumber0(X0)|~doDivides0(X0,sdtasdt0(xp,xm))|~doDivides0(X0,sdtasdt0(xn,xm))|doDivides0(X0,sdtasdt0(xr,xm)))),
% 241.20/30.85 inference(forward_subsumption_resolution,[status(thm)],[f1117,f6272])).
% 241.20/30.85 fof(f7593,plain,(
% 241.20/30.85 ~aNaturalNumber0(xp)|~doDivides0(xp,sdtasdt0(xn,xm))|doDivides0(xp,sdtasdt0(xr,xm))),
% 241.20/30.85 inference(resolution,[status(thm)],[f7592,f184])).
% 241.20/30.85 fof(f7594,plain,(
% 241.20/30.85 ~doDivides0(xp,sdtasdt0(xn,xm))|doDivides0(xp,sdtasdt0(xr,xm))),
% 241.20/30.85 inference(forward_subsumption_resolution,[status(thm)],[f7593,f171])).
% 241.20/30.85 fof(f47345,plain,(
% 241.20/30.85 ~doDivides0(xp,sdtasdt0(xm,xr))),
% 241.20/30.85 inference(backward_demodulation,[status(thm)],[f4862,f185])).
% 241.20/30.85 fof(f158727,plain,(
% 241.20/30.85 ~doDivides0(xp,sdtasdt0(xn,xm))|doDivides0(xp,sdtasdt0(xm,xr))),
% 241.20/30.85 inference(forward_demodulation,[status(thm)],[f4862,f7594])).
% 241.20/30.85 fof(f158729,plain,(
% 241.20/30.85 doDivides0(xp,sdtasdt0(xm,xr))),
% 241.20/30.85 inference(forward_subsumption_resolution,[status(thm)],[f158727,f175])).
% 241.20/30.85 fof(f158730,plain,(
% 241.20/30.85 $false),
% 241.20/30.85 inference(backward_subsumption_resolution,[status(thm)],[f47345,f158729])).
% 30.19/31.04 % SZS output end CNFRefutation for theBenchmark.p
% 30.19/31.08 % Elapsed time: 30.668616 seconds
% 30.19/31.08 % CPU time: 242.511439 seconds
% 30.19/31.08 % Total memory used: 996.551 MB
% 30.19/31.08 % Net memory used: 929.998 MB
%------------------------------------------------------------------------------