%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS069+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 : n015.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 01:00:12 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS069+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 22:56:06 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f16,axiom,(
% 0.09/0.39 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rf1(X,Y)& cp1(Y) ))& (? [Y] :( rf2(X,Y)& ~ cp1(Y) ))& (? [Y] :( rf3(X,Y)& cp2(Y) ) )) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f17,axiom,(
% 0.09/0.39 (! [X,Y,Z] :( ( rf1(X,Y)& rf1(X,Z) )=> Y = Z ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f18,axiom,(
% 0.09/0.39 (! [X,Y,Z] :( ( rf2(X,Y)& rf2(X,Z) )=> Y = Z ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f20,axiom,(
% 0.09/0.39 cUnsatisfiable(i2003_11_14_17_18_2750) ),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f21,axiom,(
% 0.09/0.39 (! [X,Y] :( rf3(X,Y)=> rf1(X,Y) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f22,axiom,(
% 0.09/0.39 (! [X,Y] :( rf3(X,Y)=> rf2(X,Y) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f69,plain,(
% 0.09/0.39 ![X]: ((~cUnsatisfiable(X)|(((?[Y]: (rf1(X,Y)&cp1(Y)))&(?[Y]: (rf2(X,Y)&~cp1(Y))))&(?[Y]: (rf3(X,Y)&cp2(Y)))))&(cUnsatisfiable(X)|(((![Y]: (~rf1(X,Y)|~cp1(Y)))|(![Y]: (~rf2(X,Y)|cp1(Y))))|(![Y]: (~rf3(X,Y)|~cp2(Y))))))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f16])).
% 0.09/0.39 fof(f70,plain,(
% 0.09/0.39 (![X]: (~cUnsatisfiable(X)|(((?[Y]: (rf1(X,Y)&cp1(Y)))&(?[Y]: (rf2(X,Y)&~cp1(Y))))&(?[Y]: (rf3(X,Y)&cp2(Y))))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rf1(X,Y)|~cp1(Y)))|(![Y]: (~rf2(X,Y)|cp1(Y))))|(![Y]: (~rf3(X,Y)|~cp2(Y))))))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f69])).
% 0.09/0.39 fof(f71,plain,(
% 0.09/0.39 (![X]: (~cUnsatisfiable(X)|(((rf1(X,sK0_skl(X))&cp1(sK0_skl(X)))&(rf2(X,sK1_skl(X))&~cp1(sK1_skl(X))))&(rf3(X,sK2_skl(X))&cp2(sK2_skl(X))))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rf1(X,Y)|~cp1(Y)))|(![Y]: (~rf2(X,Y)|cp1(Y))))|(![Y]: (~rf3(X,Y)|~cp2(Y))))))),
% 0.09/0.39 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))],[f70])).
% 0.09/0.39 fof(f72,plain,(
% 0.09/0.39 ![X0]: (~cUnsatisfiable(X0)|rf1(X0,sK0_skl(X0)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f71])).
% 0.09/0.39 fof(f73,plain,(
% 0.09/0.39 ![X0]: (~cUnsatisfiable(X0)|cp1(sK0_skl(X0)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f71])).
% 0.09/0.39 fof(f74,plain,(
% 0.09/0.39 ![X0]: (~cUnsatisfiable(X0)|rf2(X0,sK1_skl(X0)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f71])).
% 0.09/0.39 fof(f75,plain,(
% 0.09/0.39 ![X0]: (~cUnsatisfiable(X0)|~cp1(sK1_skl(X0)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f71])).
% 0.09/0.39 fof(f76,plain,(
% 0.09/0.39 ![X0]: (~cUnsatisfiable(X0)|rf3(X0,sK2_skl(X0)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f71])).
% 0.09/0.39 fof(f79,plain,(
% 0.09/0.39 ![X,Y,Z]: ((~rf1(X,Y)|~rf1(X,Z))|Y=Z)),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.09/0.39 fof(f80,plain,(
% 0.09/0.39 ![Y,Z]: ((![X]: (~rf1(X,Y)|~rf1(X,Z)))|Y=Z)),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f79])).
% 0.09/0.39 fof(f81,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~rf1(X0,X1)|~rf1(X0,X2)|X1=X2)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f80])).
% 0.09/0.39 fof(f82,plain,(
% 0.09/0.39 ![X,Y,Z]: ((~rf2(X,Y)|~rf2(X,Z))|Y=Z)),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.09/0.39 fof(f83,plain,(
% 0.09/0.39 ![Y,Z]: ((![X]: (~rf2(X,Y)|~rf2(X,Z)))|Y=Z)),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f82])).
% 0.09/0.39 fof(f84,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~rf2(X0,X1)|~rf2(X0,X2)|X1=X2)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f83])).
% 0.09/0.39 fof(f88,plain,(
% 0.09/0.39 cUnsatisfiable(i2003_11_14_17_18_2750)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.39 fof(f89,plain,(
% 0.09/0.39 ![X,Y]: (~rf3(X,Y)|rf1(X,Y))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.09/0.39 fof(f90,plain,(
% 0.09/0.39 ![X0,X1]: (~rf3(X0,X1)|rf1(X0,X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f89])).
% 0.09/0.39 fof(f91,plain,(
% 0.09/0.39 ![X,Y]: (~rf3(X,Y)|rf2(X,Y))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.09/0.39 fof(f92,plain,(
% 0.09/0.39 ![X0,X1]: (~rf3(X0,X1)|rf2(X0,X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f91])).
% 0.09/0.39 fof(f94,plain,(
% 0.09/0.39 rf1(i2003_11_14_17_18_2750,sK0_skl(i2003_11_14_17_18_2750))),
% 0.09/0.39 inference(resolution,[status(thm)],[f72,f88])).
% 0.09/0.39 fof(f95,plain,(
% 0.09/0.39 cp1(sK0_skl(i2003_11_14_17_18_2750))),
% 0.09/0.39 inference(resolution,[status(thm)],[f73,f88])).
% 0.09/0.39 fof(f96,plain,(
% 0.09/0.39 rf2(i2003_11_14_17_18_2750,sK1_skl(i2003_11_14_17_18_2750))),
% 0.09/0.39 inference(resolution,[status(thm)],[f74,f88])).
% 0.09/0.39 fof(f97,plain,(
% 0.09/0.39 rf3(i2003_11_14_17_18_2750,sK2_skl(i2003_11_14_17_18_2750))),
% 0.09/0.39 inference(resolution,[status(thm)],[f76,f88])).
% 0.09/0.39 fof(f99,plain,(
% 0.09/0.39 ![X0]: (~rf1(i2003_11_14_17_18_2750,X0)|X0=sK0_skl(i2003_11_14_17_18_2750))),
% 0.09/0.39 inference(resolution,[status(thm)],[f94,f81])).
% 0.09/0.39 fof(f100,plain,(
% 0.09/0.39 ![X0]: (~rf2(i2003_11_14_17_18_2750,X0)|X0=sK1_skl(i2003_11_14_17_18_2750))),
% 0.09/0.39 inference(resolution,[status(thm)],[f96,f84])).
% 0.09/0.39 fof(f102,definition,(
% 0.09/0.39 sQ0_spl <=> (cUnsatisfiable(i2003_11_14_17_18_2750))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f104,plain,(
% 0.09/0.39 ~cUnsatisfiable(i2003_11_14_17_18_2750)|sQ0_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f102])).
% 0.09/0.39 fof(f115,plain,(
% 0.09/0.39 rf2(i2003_11_14_17_18_2750,sK2_skl(i2003_11_14_17_18_2750))),
% 0.09/0.39 inference(resolution,[status(thm)],[f97,f92])).
% 0.09/0.39 fof(f117,plain,(
% 0.09/0.39 rf1(i2003_11_14_17_18_2750,sK2_skl(i2003_11_14_17_18_2750))),
% 0.09/0.39 inference(resolution,[status(thm)],[f97,f90])).
% 0.09/0.39 fof(f128,plain,(
% 0.09/0.39 sK2_skl(i2003_11_14_17_18_2750)=sK1_skl(i2003_11_14_17_18_2750)),
% 0.09/0.39 inference(resolution,[status(thm)],[f115,f100])).
% 0.09/0.39 fof(f134,plain,(
% 0.09/0.39 rf1(i2003_11_14_17_18_2750,sK1_skl(i2003_11_14_17_18_2750))),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f128,f117])).
% 0.09/0.39 fof(f152,plain,(
% 0.09/0.39 sK1_skl(i2003_11_14_17_18_2750)=sK0_skl(i2003_11_14_17_18_2750)),
% 0.09/0.39 inference(resolution,[status(thm)],[f134,f99])).
% 0.09/0.39 fof(f162,plain,(
% 0.09/0.39 ~cUnsatisfiable(i2003_11_14_17_18_2750)|~cp1(sK0_skl(i2003_11_14_17_18_2750))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f152,f75])).
% 0.09/0.39 fof(f163,definition,(
% 0.09/0.39 sQ8_spl <=> (cp1(sK0_skl(i2003_11_14_17_18_2750)))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f165,plain,(
% 0.09/0.39 ~cp1(sK0_skl(i2003_11_14_17_18_2750))|sQ8_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f163])).
% 0.09/0.39 fof(f166,plain,(
% 0.09/0.39 ~sQ0_spl|~sQ8_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f162,f102,f163])).
% 0.09/0.39 fof(f167,plain,(
% 0.09/0.39 $false|sQ0_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f104,f88])).
% 0.09/0.39 fof(f168,plain,(
% 0.09/0.39 sQ0_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f167])).
% 0.09/0.39 fof(f169,plain,(
% 0.09/0.39 $false|sQ8_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f165,f95])).
% 0.09/0.39 fof(f170,plain,(
% 0.09/0.39 sQ8_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f169])).
% 0.09/0.39 fof(f171,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(sat_refutation,[status(thm)],[f166,f168,f170])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.40 % Elapsed time: 0.027675 seconds
% 0.09/0.40 % CPU time: 0.079584 seconds
% 0.09/0.40 % Total memory used: 2.262 MB
% 0.09/0.40 % Net memory used: 2.192 MB
%------------------------------------------------------------------------------