%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS099+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 : n004.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 01:00:15 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS099+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
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 22:53:37 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f13,axiom,(
% 0.14/0.38 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y0,Y1,Y2] :( rtt(X,Y0)& rtt(X,Y1)& rtt(X,Y2)& Y0 != Y1& Y0 != Y2& Y1 != Y2 ))& (! [Y] :( rtt(X,Y)=> ca(Y) ))& (! [Y0,Y1] :( ( rtt(X,Y0)& rtt(X,Y1) )=> Y0 = Y1 ))& (! [Y0,Y1] :( ( rtt(X,Y0)& rtt(X,Y1) )=> Y0 = Y1 ) )) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f16,axiom,(
% 0.14/0.38 cUnsatisfiable(i2003_11_14_17_20_29215) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f54,plain,(
% 0.14/0.38 ![X]: (cUnsatisfiable(X)<=>((((?[Y0,Y1,Y2]: (((((rtt(X,Y0)&rtt(X,Y1))&rtt(X,Y2))&~Y0=Y1)&~Y0=Y2)&~Y1=Y2))&(![Y]: (~rtt(X,Y)|ca(Y))))&(![Y0,Y1]: ((~rtt(X,Y0)|~rtt(X,Y1))|Y0=Y1)))&(![Y0,Y1]: ((~rtt(X,Y0)|~rtt(X,Y1))|Y0=Y1))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.14/0.38 fof(f55,definition,(
% 0.14/0.38 ![X,Y]: (sP0_prd(Y,X)<=>(~rtt(X,Y)|ca(Y)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.14/0.38 fof(f56,definition,(
% 0.14/0.38 ![X,Y0,Y1]: (sP1_prd(Y1,Y0,X)<=>((~rtt(X,Y0)|~rtt(X,Y1))|Y0=Y1))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.14/0.38 fof(f57,plain,(
% 0.14/0.38 ![X]: (cUnsatisfiable(X)<=>((((?[Y0,Y1,Y2]: (((((rtt(X,Y0)&rtt(X,Y1))&rtt(X,Y2))&~Y0=Y1)&~Y0=Y2)&~Y1=Y2))&(![Y]: sP0_prd(Y,X)))&(![Y0,Y1]: sP1_prd(Y1,Y0,X)))&(![Y0,Y1]: ((~rtt(X,Y0)|~rtt(X,Y1))|Y0=Y1))))),
% 0.14/0.38 inference(formula_renaming,[status(thm)],[f54,f56,f55])).
% 0.14/0.38 fof(f58,plain,(
% 0.14/0.38 ![X]: ((~cUnsatisfiable(X)|((((?[Y0,Y1,Y2]: (((((rtt(X,Y0)&rtt(X,Y1))&rtt(X,Y2))&~Y0=Y1)&~Y0=Y2)&~Y1=Y2))&(![Y]: sP0_prd(Y,X)))&(![Y0,Y1]: sP1_prd(Y1,Y0,X)))&(![Y0,Y1]: ((~rtt(X,Y0)|~rtt(X,Y1))|Y0=Y1))))&(cUnsatisfiable(X)|((((![Y0,Y1,Y2]: (((((~rtt(X,Y0)|~rtt(X,Y1))|~rtt(X,Y2))|Y0=Y1)|Y0=Y2)|Y1=Y2))|(?[Y]: ~sP0_prd(Y,X)))|(?[Y0,Y1]: ~sP1_prd(Y1,Y0,X)))|(?[Y0,Y1]: ((rtt(X,Y0)&rtt(X,Y1))&~Y0=Y1)))))),
% 0.14/0.38 inference(NNF_transformation,[status(thm)],[f57])).
% 0.14/0.38 fof(f59,plain,(
% 0.14/0.38 (![X]: (~cUnsatisfiable(X)|((((?[Y1,Y2]: ((?[Y0]: ((((rtt(X,Y0)&rtt(X,Y1))&rtt(X,Y2))&~Y0=Y1)&~Y0=Y2))&~Y1=Y2))&(![Y]: sP0_prd(Y,X)))&(![Y0,Y1]: sP1_prd(Y1,Y0,X)))&(![Y0,Y1]: ((~rtt(X,Y0)|~rtt(X,Y1))|Y0=Y1)))))&(![X]: (cUnsatisfiable(X)|((((![Y1,Y2]: ((![Y0]: ((((~rtt(X,Y0)|~rtt(X,Y1))|~rtt(X,Y2))|Y0=Y1)|Y0=Y2))|Y1=Y2))|(?[Y]: ~sP0_prd(Y,X)))|(?[Y0,Y1]: ~sP1_prd(Y1,Y0,X)))|(?[Y0,Y1]: ((rtt(X,Y0)&rtt(X,Y1))&~Y0=Y1)))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f58])).
% 0.14/0.38 fof(f60,plain,(
% 0.14/0.38 (![X]: (~cUnsatisfiable(X)|((((((((rtt(X,sK2_skl(X))&rtt(X,sK0_skl(X)))&rtt(X,sK1_skl(X)))&~sK2_skl(X)=sK0_skl(X))&~sK2_skl(X)=sK1_skl(X))&~sK0_skl(X)=sK1_skl(X))&(![Y]: sP0_prd(Y,X)))&(![Y0,Y1]: sP1_prd(Y1,Y0,X)))&(![Y0,Y1]: ((~rtt(X,Y0)|~rtt(X,Y1))|Y0=Y1)))))&(![X]: (cUnsatisfiable(X)|((((![Y1,Y2]: ((![Y0]: ((((~rtt(X,Y0)|~rtt(X,Y1))|~rtt(X,Y2))|Y0=Y1)|Y0=Y2))|Y1=Y2))|~sP0_prd(sK3_skl(X),X))|~sP1_prd(sK5_skl(X),sK4_skl(X),X))|((rtt(X,sK6_skl(X))&rtt(X,sK7_skl(X)))&~sK6_skl(X)=sK7_skl(X)))))),
% 0.14/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl]),skolemize(Y1,sK0_skl(X)),skolemize(Y2,sK1_skl(X)),skolemize(Y0,sK2_skl(X)),skolemize(Y,sK3_skl(X)),skolemize(Y0,sK4_skl(X)),skolemize(Y1,sK5_skl(X)),skolemize(Y0,sK6_skl(X)),skolemize(Y1,sK7_skl(X))],[f59])).
% 0.14/0.38 fof(f62,plain,(
% 0.14/0.38 ![X0]: (~cUnsatisfiable(X0)|rtt(X0,sK0_skl(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f60])).
% 0.14/0.38 fof(f63,plain,(
% 0.14/0.38 ![X0]: (~cUnsatisfiable(X0)|rtt(X0,sK1_skl(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f60])).
% 0.14/0.38 fof(f66,plain,(
% 0.14/0.38 ![X0]: (~cUnsatisfiable(X0)|~sK0_skl(X0)=sK1_skl(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f60])).
% 0.14/0.38 fof(f69,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~cUnsatisfiable(X0)|~rtt(X0,X1)|~rtt(X0,X2)|X1=X2)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f60])).
% 0.14/0.38 fof(f77,plain,(
% 0.14/0.38 cUnsatisfiable(i2003_11_14_17_20_29215)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.38 fof(f97,plain,(
% 0.14/0.38 ![X0,X1]: (~rtt(i2003_11_14_17_20_29215,X0)|~rtt(i2003_11_14_17_20_29215,X1)|X0=X1)),
% 0.14/0.38 inference(resolution,[status(thm)],[f69,f77])).
% 0.14/0.38 fof(f122,plain,(
% 0.14/0.38 ![X0]: (~rtt(i2003_11_14_17_20_29215,X0)|X0=sK1_skl(i2003_11_14_17_20_29215)|~cUnsatisfiable(i2003_11_14_17_20_29215))),
% 0.14/0.38 inference(resolution,[status(thm)],[f97,f63])).
% 0.14/0.38 fof(f126,plain,(
% 0.14/0.38 ![X0]: (~rtt(i2003_11_14_17_20_29215,X0)|X0=sK1_skl(i2003_11_14_17_20_29215))),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f122,f77])).
% 0.14/0.38 fof(f130,plain,(
% 0.14/0.38 sK0_skl(i2003_11_14_17_20_29215)=sK1_skl(i2003_11_14_17_20_29215)|~cUnsatisfiable(i2003_11_14_17_20_29215)),
% 0.14/0.38 inference(resolution,[status(thm)],[f126,f62])).
% 0.14/0.38 fof(f134,plain,(
% 0.14/0.38 ~cUnsatisfiable(i2003_11_14_17_20_29215)),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f130,f66])).
% 0.14/0.38 fof(f135,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(backward_subsumption_resolution,[status(thm)],[f77,f134])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 % Elapsed time: 0.030783 seconds
% 0.14/0.39 % CPU time: 0.090109 seconds
% 0.14/0.39 % Total memory used: 2.914 MB
% 0.14/0.39 % Net memory used: 2.748 MB
%------------------------------------------------------------------------------