%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS120+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 01:00:17 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS120+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.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
% 0.03/0.36 % DateTime : Sun Sep 20 22:52:05 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.37 % Drodi V4.1.1
% 0.03/0.39 % Refutation found
% 0.03/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.39 fof(f20,axiom,(
% 0.03/0.39 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.03/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f22,axiom,(
% 0.03/0.39 (! [X] :( cUnsatisfiable(X)<=> (? [Y] :( rf(X,Y)& ca_Ax2(Y) ) )) )),
% 0.03/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f23,axiom,(
% 0.03/0.39 (! [X] :( cp1(X)<=> ~ (? [Y] : ra_Px1(X,Y) )) )),
% 0.03/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f24,axiom,(
% 0.03/0.39 (! [X] :( cp1xcomp(X)<=> (? [Y0] : ra_Px1(X,Y0) )) )),
% 0.03/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f25,axiom,(
% 0.03/0.39 (! [X] :( ca_Ax2(X)<=> ( (? [Y] :( rinvF(X,Y)& ca_Vx3(Y) ))& cp1(X) ) ) )),
% 0.03/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f26,axiom,(
% 0.03/0.39 (! [X] :( ca_Vx3(X)<=> (? [Y] :( rf(X,Y)& cp1xcomp(Y) ) )) )),
% 0.03/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f27,axiom,(
% 0.03/0.39 (! [X] :( cowlThing(X)=> (! [Y0,Y1] :( ( rf(X,Y0)& rf(X,Y1) )=> Y0 = Y1 ) )) )),
% 0.03/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f28,axiom,(
% 0.03/0.39 (! [X,Y] :( rinvF(X,Y)<=> rf(Y,X) ) )),
% 0.03/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f31,axiom,(
% 0.03/0.39 cUnsatisfiable(i2003_11_14_17_21_48796) ),
% 0.03/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.39 fof(f89,plain,(
% 0.03/0.39 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.03/0.39 inference(miniscoping,[status(thm)],[f20])).
% 0.03/0.39 fof(f90,plain,(
% 0.03/0.39 ![X0]: (cowlThing(X0))),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f89])).
% 0.03/0.39 fof(f96,plain,(
% 0.03/0.39 ![X]: ((~cUnsatisfiable(X)|(?[Y]: (rf(X,Y)&ca_Ax2(Y))))&(cUnsatisfiable(X)|(![Y]: (~rf(X,Y)|~ca_Ax2(Y)))))),
% 0.03/0.39 inference(NNF_transformation,[status(thm)],[f22])).
% 0.03/0.39 fof(f97,plain,(
% 0.03/0.39 (![X]: (~cUnsatisfiable(X)|(?[Y]: (rf(X,Y)&ca_Ax2(Y)))))&(![X]: (cUnsatisfiable(X)|(![Y]: (~rf(X,Y)|~ca_Ax2(Y)))))),
% 0.03/0.39 inference(miniscoping,[status(thm)],[f96])).
% 0.03/0.39 fof(f98,plain,(
% 0.03/0.39 (![X]: (~cUnsatisfiable(X)|(rf(X,sK0_skl(X))&ca_Ax2(sK0_skl(X)))))&(![X]: (cUnsatisfiable(X)|(![Y]: (~rf(X,Y)|~ca_Ax2(Y)))))),
% 0.03/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f97])).
% 0.03/0.39 fof(f100,plain,(
% 0.03/0.39 ![X0]: (~cUnsatisfiable(X0)|ca_Ax2(sK0_skl(X0)))),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f98])).
% 0.03/0.39 fof(f102,plain,(
% 0.03/0.39 ![X]: (cp1(X)<=>(![Y]: ~ra_Px1(X,Y)))),
% 0.03/0.39 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.03/0.39 fof(f103,plain,(
% 0.03/0.39 ![X]: ((~cp1(X)|(![Y]: ~ra_Px1(X,Y)))&(cp1(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.03/0.39 inference(NNF_transformation,[status(thm)],[f102])).
% 0.03/0.39 fof(f104,plain,(
% 0.03/0.39 (![X]: (~cp1(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp1(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.03/0.39 inference(miniscoping,[status(thm)],[f103])).
% 0.03/0.39 fof(f105,plain,(
% 0.03/0.39 (![X]: (~cp1(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp1(X)|ra_Px1(X,sK1_skl(X))))),
% 0.03/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(X))],[f104])).
% 0.03/0.39 fof(f106,plain,(
% 0.03/0.39 ![X0,X1]: (~cp1(X0)|~ra_Px1(X0,X1))),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f105])).
% 0.03/0.39 fof(f108,plain,(
% 0.03/0.39 ![X]: ((~cp1xcomp(X)|(?[Y0]: ra_Px1(X,Y0)))&(cp1xcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.03/0.39 inference(NNF_transformation,[status(thm)],[f24])).
% 0.03/0.39 fof(f109,plain,(
% 0.03/0.39 (![X]: (~cp1xcomp(X)|(?[Y0]: ra_Px1(X,Y0))))&(![X]: (cp1xcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.03/0.39 inference(miniscoping,[status(thm)],[f108])).
% 0.03/0.39 fof(f110,plain,(
% 0.03/0.39 (![X]: (~cp1xcomp(X)|ra_Px1(X,sK2_skl(X))))&(![X]: (cp1xcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.03/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y0,sK2_skl(X))],[f109])).
% 0.03/0.39 fof(f111,plain,(
% 0.03/0.39 ![X0]: (~cp1xcomp(X0)|ra_Px1(X0,sK2_skl(X0)))),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f110])).
% 0.03/0.39 fof(f113,plain,(
% 0.03/0.39 ![X]: ((~ca_Ax2(X)|((?[Y]: (rinvF(X,Y)&ca_Vx3(Y)))&cp1(X)))&(ca_Ax2(X)|((![Y]: (~rinvF(X,Y)|~ca_Vx3(Y)))|~cp1(X))))),
% 0.03/0.39 inference(NNF_transformation,[status(thm)],[f25])).
% 0.03/0.39 fof(f114,plain,(
% 0.03/0.39 (![X]: (~ca_Ax2(X)|((?[Y]: (rinvF(X,Y)&ca_Vx3(Y)))&cp1(X))))&(![X]: (ca_Ax2(X)|((![Y]: (~rinvF(X,Y)|~ca_Vx3(Y)))|~cp1(X))))),
% 0.03/0.39 inference(miniscoping,[status(thm)],[f113])).
% 0.03/0.39 fof(f115,plain,(
% 0.03/0.39 (![X]: (~ca_Ax2(X)|((rinvF(X,sK3_skl(X))&ca_Vx3(sK3_skl(X)))&cp1(X))))&(![X]: (ca_Ax2(X)|((![Y]: (~rinvF(X,Y)|~ca_Vx3(Y)))|~cp1(X))))),
% 0.03/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y,sK3_skl(X))],[f114])).
% 0.03/0.39 fof(f116,plain,(
% 0.03/0.39 ![X0]: (~ca_Ax2(X0)|rinvF(X0,sK3_skl(X0)))),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f115])).
% 0.03/0.39 fof(f117,plain,(
% 0.03/0.39 ![X0]: (~ca_Ax2(X0)|ca_Vx3(sK3_skl(X0)))),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f115])).
% 0.03/0.39 fof(f118,plain,(
% 0.03/0.39 ![X0]: (~ca_Ax2(X0)|cp1(X0))),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f115])).
% 0.03/0.39 fof(f120,plain,(
% 0.03/0.39 ![X]: ((~ca_Vx3(X)|(?[Y]: (rf(X,Y)&cp1xcomp(Y))))&(ca_Vx3(X)|(![Y]: (~rf(X,Y)|~cp1xcomp(Y)))))),
% 0.03/0.39 inference(NNF_transformation,[status(thm)],[f26])).
% 0.03/0.39 fof(f121,plain,(
% 0.03/0.39 (![X]: (~ca_Vx3(X)|(?[Y]: (rf(X,Y)&cp1xcomp(Y)))))&(![X]: (ca_Vx3(X)|(![Y]: (~rf(X,Y)|~cp1xcomp(Y)))))),
% 0.03/0.39 inference(miniscoping,[status(thm)],[f120])).
% 0.03/0.39 fof(f122,plain,(
% 0.03/0.39 (![X]: (~ca_Vx3(X)|(rf(X,sK4_skl(X))&cp1xcomp(sK4_skl(X)))))&(![X]: (ca_Vx3(X)|(![Y]: (~rf(X,Y)|~cp1xcomp(Y)))))),
% 0.03/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y,sK4_skl(X))],[f121])).
% 0.03/0.39 fof(f123,plain,(
% 0.03/0.39 ![X0]: (~ca_Vx3(X0)|rf(X0,sK4_skl(X0)))),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f122])).
% 0.03/0.39 fof(f124,plain,(
% 0.03/0.39 ![X0]: (~ca_Vx3(X0)|cp1xcomp(sK4_skl(X0)))),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f122])).
% 0.03/0.39 fof(f126,plain,(
% 0.03/0.39 ![X]: (~cowlThing(X)|(![Y0,Y1]: ((~rf(X,Y0)|~rf(X,Y1))|Y0=Y1)))),
% 0.03/0.39 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.03/0.39 fof(f127,plain,(
% 0.03/0.39 ![X0,X1,X2]: (~cowlThing(X0)|~rf(X0,X1)|~rf(X0,X2)|X1=X2)),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f126])).
% 0.03/0.39 fof(f128,plain,(
% 0.03/0.39 ![X,Y]: ((~rinvF(X,Y)|rf(Y,X))&(rinvF(X,Y)|~rf(Y,X)))),
% 0.03/0.39 inference(NNF_transformation,[status(thm)],[f28])).
% 0.03/0.39 fof(f129,plain,(
% 0.03/0.39 (![X,Y]: (~rinvF(X,Y)|rf(Y,X)))&(![X,Y]: (rinvF(X,Y)|~rf(Y,X)))),
% 0.03/0.39 inference(miniscoping,[status(thm)],[f128])).
% 0.03/0.39 fof(f130,plain,(
% 0.03/0.39 ![X0,X1]: (~rinvF(X0,X1)|rf(X1,X0))),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f129])).
% 0.03/0.39 fof(f139,plain,(
% 0.03/0.39 cUnsatisfiable(i2003_11_14_17_21_48796)),
% 0.03/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.03/0.39 fof(f140,plain,(
% 0.03/0.39 ![X0,X1,X2]: (~rf(X0,X1)|~rf(X0,X2)|X1=X2)),
% 0.03/0.39 inference(forward_subsumption_resolution,[status(thm)],[f127,f90])).
% 0.03/0.39 fof(f143,plain,(
% 0.03/0.39 ca_Ax2(sK0_skl(i2003_11_14_17_21_48796))),
% 0.03/0.39 inference(resolution,[status(thm)],[f100,f139])).
% 0.03/0.39 fof(f149,plain,(
% 0.03/0.39 cp1(sK0_skl(i2003_11_14_17_21_48796))),
% 0.03/0.39 inference(resolution,[status(thm)],[f143,f118])).
% 0.03/0.39 fof(f150,plain,(
% 0.03/0.39 rinvF(sK0_skl(i2003_11_14_17_21_48796),sK3_skl(sK0_skl(i2003_11_14_17_21_48796)))),
% 0.03/0.39 inference(resolution,[status(thm)],[f116,f143])).
% 0.03/0.39 fof(f151,plain,(
% 0.03/0.39 ca_Vx3(sK3_skl(sK0_skl(i2003_11_14_17_21_48796)))),
% 0.03/0.39 inference(resolution,[status(thm)],[f117,f143])).
% 0.03/0.39 fof(f173,plain,(
% 0.03/0.39 rf(sK3_skl(sK0_skl(i2003_11_14_17_21_48796)),sK0_skl(i2003_11_14_17_21_48796))),
% 0.03/0.39 inference(resolution,[status(thm)],[f150,f130])).
% 0.03/0.39 fof(f185,plain,(
% 0.03/0.39 rf(sK3_skl(sK0_skl(i2003_11_14_17_21_48796)),sK4_skl(sK3_skl(sK0_skl(i2003_11_14_17_21_48796))))),
% 0.03/0.39 inference(resolution,[status(thm)],[f151,f123])).
% 0.03/0.39 fof(f186,plain,(
% 0.03/0.39 cp1xcomp(sK4_skl(sK3_skl(sK0_skl(i2003_11_14_17_21_48796))))),
% 0.03/0.39 inference(resolution,[status(thm)],[f151,f124])).
% 0.03/0.39 fof(f193,plain,(
% 0.03/0.39 ![X0]: (~rf(sK3_skl(sK0_skl(i2003_11_14_17_21_48796)),X0)|sK0_skl(i2003_11_14_17_21_48796)=X0)),
% 0.03/0.39 inference(resolution,[status(thm)],[f173,f140])).
% 0.03/0.39 fof(f214,plain,(
% 0.03/0.39 ra_Px1(sK4_skl(sK3_skl(sK0_skl(i2003_11_14_17_21_48796))),sK2_skl(sK4_skl(sK3_skl(sK0_skl(i2003_11_14_17_21_48796)))))),
% 0.03/0.39 inference(resolution,[status(thm)],[f186,f111])).
% 0.03/0.39 fof(f215,plain,(
% 0.03/0.39 sK0_skl(i2003_11_14_17_21_48796)=sK4_skl(sK3_skl(sK0_skl(i2003_11_14_17_21_48796)))),
% 0.03/0.39 inference(resolution,[status(thm)],[f193,f185])).
% 0.03/0.39 fof(f219,plain,(
% 0.03/0.39 ra_Px1(sK4_skl(sK3_skl(sK0_skl(i2003_11_14_17_21_48796))),sK2_skl(sK0_skl(i2003_11_14_17_21_48796)))),
% 0.03/0.39 inference(backward_demodulation,[status(thm)],[f215,f214])).
% 0.03/0.39 fof(f224,plain,(
% 0.03/0.39 ra_Px1(sK0_skl(i2003_11_14_17_21_48796),sK2_skl(sK0_skl(i2003_11_14_17_21_48796)))),
% 0.03/0.39 inference(forward_demodulation,[status(thm)],[f215,f219])).
% 0.03/0.39 fof(f250,plain,(
% 0.03/0.39 ~cp1(sK0_skl(i2003_11_14_17_21_48796))),
% 0.03/0.39 inference(resolution,[status(thm)],[f224,f106])).
% 0.03/0.39 fof(f251,plain,(
% 0.03/0.39 $false),
% 0.03/0.39 inference(forward_subsumption_resolution,[status(thm)],[f250,f149])).
% 0.03/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/0.40 % Elapsed time: 0.032349 seconds
% 0.03/0.40 % CPU time: 0.090432 seconds
% 0.03/0.40 % Total memory used: 3.130 MB
% 0.03/0.40 % Net memory used: 3.006 MB
%------------------------------------------------------------------------------