%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS115+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 01:00:17 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS115+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n001.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 22:59:31 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f17,axiom,(
% 0.12/0.39 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f19,axiom,(
% 0.12/0.39 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rf2(X,Y)& cp2(Y) ))& (? [Y] :( rf1(X,Y)& cp1(Y) ))& (? [Y] :( rr(X,Y)& cowlThing(Y) ) )) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f20,axiom,(
% 0.12/0.39 (! [X] :( cp1(X)=> cp2xcomp(X) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f21,axiom,(
% 0.12/0.39 (! [X] :( cp2(X)<=> ~ (? [Y] : ra_Px1(X,Y) )) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f22,axiom,(
% 0.12/0.39 (! [X] :( cp2xcomp(X)<=> (? [Y0] : ra_Px1(X,Y0) )) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f23,axiom,(
% 0.12/0.39 (! [X] :( cowlThing(X)=> (! [Y0,Y1] :( ( rf1(X,Y0)& rf1(X,Y1) )=> Y0 = Y1 ) )) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f24,axiom,(
% 0.12/0.39 (! [X] :( cowlThing(X)=> (! [Y0,Y1] :( ( rf2(X,Y0)& rf2(X,Y1) )=> Y0 = Y1 ) )) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f25,axiom,(
% 0.12/0.39 cUnsatisfiable(i2003_11_14_17_21_30578) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f26,axiom,(
% 0.12/0.39 (! [X,Y] :( rr(X,Y)=> rf2(X,Y) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f27,axiom,(
% 0.12/0.39 (! [X,Y] :( rr(X,Y)=> rf1(X,Y) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f76,plain,(
% 0.12/0.39 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f17])).
% 0.12/0.39 fof(f77,plain,(
% 0.12/0.39 ![X0]: (cowlThing(X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f76])).
% 0.12/0.39 fof(f83,plain,(
% 0.12/0.39 ![X]: ((~cUnsatisfiable(X)|(((?[Y]: (rf2(X,Y)&cp2(Y)))&(?[Y]: (rf1(X,Y)&cp1(Y))))&(?[Y]: (rr(X,Y)&cowlThing(Y)))))&(cUnsatisfiable(X)|(((![Y]: (~rf2(X,Y)|~cp2(Y)))|(![Y]: (~rf1(X,Y)|~cp1(Y))))|(![Y]: (~rr(X,Y)|~cowlThing(Y))))))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f19])).
% 0.12/0.39 fof(f84,plain,(
% 0.12/0.39 (![X]: (~cUnsatisfiable(X)|(((?[Y]: (rf2(X,Y)&cp2(Y)))&(?[Y]: (rf1(X,Y)&cp1(Y))))&(?[Y]: (rr(X,Y)&cowlThing(Y))))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rf2(X,Y)|~cp2(Y)))|(![Y]: (~rf1(X,Y)|~cp1(Y))))|(![Y]: (~rr(X,Y)|~cowlThing(Y))))))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f83])).
% 0.12/0.39 fof(f85,plain,(
% 0.12/0.39 (![X]: (~cUnsatisfiable(X)|(((rf2(X,sK0_skl(X))&cp2(sK0_skl(X)))&(rf1(X,sK1_skl(X))&cp1(sK1_skl(X))))&(rr(X,sK2_skl(X))&cowlThing(sK2_skl(X))))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rf2(X,Y)|~cp2(Y)))|(![Y]: (~rf1(X,Y)|~cp1(Y))))|(![Y]: (~rr(X,Y)|~cowlThing(Y))))))),
% 0.12/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y,sK2_skl(X))],[f84])).
% 0.12/0.39 fof(f86,plain,(
% 0.12/0.39 ![X0]: (~cUnsatisfiable(X0)|rf2(X0,sK0_skl(X0)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f85])).
% 0.12/0.39 fof(f87,plain,(
% 0.12/0.39 ![X0]: (~cUnsatisfiable(X0)|cp2(sK0_skl(X0)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f85])).
% 0.12/0.39 fof(f88,plain,(
% 0.12/0.39 ![X0]: (~cUnsatisfiable(X0)|rf1(X0,sK1_skl(X0)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f85])).
% 0.12/0.39 fof(f89,plain,(
% 0.12/0.39 ![X0]: (~cUnsatisfiable(X0)|cp1(sK1_skl(X0)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f85])).
% 0.12/0.39 fof(f90,plain,(
% 0.12/0.39 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK2_skl(X0)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f85])).
% 0.12/0.39 fof(f93,plain,(
% 0.12/0.39 ![X]: (~cp1(X)|cp2xcomp(X))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.12/0.39 fof(f94,plain,(
% 0.12/0.39 ![X0]: (~cp1(X0)|cp2xcomp(X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f93])).
% 0.12/0.39 fof(f95,plain,(
% 0.12/0.39 ![X]: (cp2(X)<=>(![Y]: ~ra_Px1(X,Y)))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.12/0.39 fof(f96,plain,(
% 0.12/0.39 ![X]: ((~cp2(X)|(![Y]: ~ra_Px1(X,Y)))&(cp2(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f95])).
% 0.12/0.39 fof(f97,plain,(
% 0.12/0.39 (![X]: (~cp2(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp2(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f96])).
% 0.12/0.39 fof(f98,plain,(
% 0.12/0.39 (![X]: (~cp2(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp2(X)|ra_Px1(X,sK3_skl(X))))),
% 0.12/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y,sK3_skl(X))],[f97])).
% 0.12/0.39 fof(f99,plain,(
% 0.12/0.39 ![X0,X1]: (~cp2(X0)|~ra_Px1(X0,X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f98])).
% 0.12/0.39 fof(f101,plain,(
% 0.12/0.39 ![X]: ((~cp2xcomp(X)|(?[Y0]: ra_Px1(X,Y0)))&(cp2xcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f22])).
% 0.12/0.39 fof(f102,plain,(
% 0.12/0.39 (![X]: (~cp2xcomp(X)|(?[Y0]: ra_Px1(X,Y0))))&(![X]: (cp2xcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f101])).
% 0.12/0.39 fof(f103,plain,(
% 0.12/0.39 (![X]: (~cp2xcomp(X)|ra_Px1(X,sK4_skl(X))))&(![X]: (cp2xcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.12/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y0,sK4_skl(X))],[f102])).
% 0.12/0.39 fof(f104,plain,(
% 0.12/0.39 ![X0]: (~cp2xcomp(X0)|ra_Px1(X0,sK4_skl(X0)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f103])).
% 0.12/0.39 fof(f106,plain,(
% 0.12/0.39 ![X]: (~cowlThing(X)|(![Y0,Y1]: ((~rf1(X,Y0)|~rf1(X,Y1))|Y0=Y1)))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.12/0.39 fof(f107,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~cowlThing(X0)|~rf1(X0,X1)|~rf1(X0,X2)|X1=X2)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f106])).
% 0.12/0.39 fof(f108,plain,(
% 0.12/0.39 ![X]: (~cowlThing(X)|(![Y0,Y1]: ((~rf2(X,Y0)|~rf2(X,Y1))|Y0=Y1)))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.12/0.39 fof(f109,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~cowlThing(X0)|~rf2(X0,X1)|~rf2(X0,X2)|X1=X2)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f108])).
% 0.12/0.39 fof(f110,plain,(
% 0.12/0.39 cUnsatisfiable(i2003_11_14_17_21_30578)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.39 fof(f111,plain,(
% 0.12/0.39 ![X,Y]: (~rr(X,Y)|rf2(X,Y))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.12/0.39 fof(f112,plain,(
% 0.12/0.39 ![X0,X1]: (~rr(X0,X1)|rf2(X0,X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f111])).
% 0.12/0.39 fof(f113,plain,(
% 0.12/0.39 ![X,Y]: (~rr(X,Y)|rf1(X,Y))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.12/0.39 fof(f114,plain,(
% 0.12/0.39 ![X0,X1]: (~rr(X0,X1)|rf1(X0,X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f113])).
% 0.12/0.39 fof(f116,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~rf1(X0,X1)|~rf1(X0,X2)|X1=X2)),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f107,f77])).
% 0.12/0.39 fof(f117,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~rf2(X0,X1)|~rf2(X0,X2)|X1=X2)),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f109,f77])).
% 0.12/0.39 fof(f119,plain,(
% 0.12/0.39 rf2(i2003_11_14_17_21_30578,sK0_skl(i2003_11_14_17_21_30578))),
% 0.12/0.39 inference(resolution,[status(thm)],[f86,f110])).
% 0.12/0.39 fof(f120,plain,(
% 0.12/0.39 cp2(sK0_skl(i2003_11_14_17_21_30578))),
% 0.12/0.39 inference(resolution,[status(thm)],[f87,f110])).
% 0.12/0.39 fof(f121,plain,(
% 0.12/0.39 rf1(i2003_11_14_17_21_30578,sK1_skl(i2003_11_14_17_21_30578))),
% 0.12/0.39 inference(resolution,[status(thm)],[f88,f110])).
% 0.12/0.39 fof(f122,plain,(
% 0.12/0.39 cp1(sK1_skl(i2003_11_14_17_21_30578))),
% 0.12/0.39 inference(resolution,[status(thm)],[f89,f110])).
% 0.12/0.39 fof(f123,plain,(
% 0.12/0.39 rr(i2003_11_14_17_21_30578,sK2_skl(i2003_11_14_17_21_30578))),
% 0.12/0.39 inference(resolution,[status(thm)],[f90,f110])).
% 0.12/0.39 fof(f124,plain,(
% 0.12/0.39 cp2xcomp(sK1_skl(i2003_11_14_17_21_30578))),
% 0.12/0.39 inference(resolution,[status(thm)],[f122,f94])).
% 0.12/0.39 fof(f126,plain,(
% 0.12/0.39 ra_Px1(sK1_skl(i2003_11_14_17_21_30578),sK4_skl(sK1_skl(i2003_11_14_17_21_30578)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f104,f124])).
% 0.12/0.39 fof(f131,plain,(
% 0.12/0.39 ![X0]: (~rf1(i2003_11_14_17_21_30578,X0)|X0=sK1_skl(i2003_11_14_17_21_30578))),
% 0.12/0.39 inference(resolution,[status(thm)],[f121,f116])).
% 0.12/0.39 fof(f132,plain,(
% 0.12/0.39 ![X0]: (~rf2(i2003_11_14_17_21_30578,X0)|X0=sK0_skl(i2003_11_14_17_21_30578))),
% 0.12/0.39 inference(resolution,[status(thm)],[f117,f119])).
% 0.12/0.39 fof(f133,plain,(
% 0.12/0.39 rf1(i2003_11_14_17_21_30578,sK2_skl(i2003_11_14_17_21_30578))),
% 0.12/0.39 inference(resolution,[status(thm)],[f123,f114])).
% 0.12/0.39 fof(f134,plain,(
% 0.12/0.39 rf2(i2003_11_14_17_21_30578,sK2_skl(i2003_11_14_17_21_30578))),
% 0.12/0.39 inference(resolution,[status(thm)],[f123,f112])).
% 0.12/0.39 fof(f148,plain,(
% 0.12/0.39 sK2_skl(i2003_11_14_17_21_30578)=sK1_skl(i2003_11_14_17_21_30578)),
% 0.12/0.39 inference(resolution,[status(thm)],[f133,f131])).
% 0.12/0.39 fof(f152,plain,(
% 0.12/0.39 rf2(i2003_11_14_17_21_30578,sK1_skl(i2003_11_14_17_21_30578))),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f148,f134])).
% 0.12/0.39 fof(f161,plain,(
% 0.12/0.39 sK1_skl(i2003_11_14_17_21_30578)=sK0_skl(i2003_11_14_17_21_30578)),
% 0.12/0.39 inference(resolution,[status(thm)],[f152,f132])).
% 0.12/0.39 fof(f170,plain,(
% 0.12/0.39 ra_Px1(sK1_skl(i2003_11_14_17_21_30578),sK4_skl(sK0_skl(i2003_11_14_17_21_30578)))),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f161,f126])).
% 0.12/0.39 fof(f172,plain,(
% 0.12/0.39 ra_Px1(sK0_skl(i2003_11_14_17_21_30578),sK4_skl(sK0_skl(i2003_11_14_17_21_30578)))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f161,f170])).
% 0.12/0.39 fof(f182,plain,(
% 0.12/0.39 ~cp2(sK0_skl(i2003_11_14_17_21_30578))),
% 0.12/0.39 inference(resolution,[status(thm)],[f172,f99])).
% 0.12/0.39 fof(f183,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f182,f120])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.041976 seconds
% 0.12/0.40 % CPU time: 0.087417 seconds
% 0.12/0.40 % Total memory used: 2.610 MB
% 0.12/0.40 % Net memory used: 2.535 MB
%------------------------------------------------------------------------------