%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN366+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 03:19:29 PM UTC 2026
% Result : Theorem 0.15s 5.66s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN366+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.63 % Computer : n002.cluster.edu
% 0.15/5.63 % Model : x86_64 x86_64
% 0.15/5.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.63 % Memory : 8046.5625MB
% 0.15/5.63 % OS : Linux 6.8.0-71-generic
% 0.15/5.63 % CPULimit : 300
% 0.15/5.63 % WCLimit : 300
% 0.15/5.63 % DateTime : Mon Sep 21 10:54:40 UTC 2026
% 0.15/5.63 % CPUTime :
% 0.15/5.64 % Drodi V4.1.1
% 0.15/5.66 % Refutation found
% 0.15/5.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.66 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.66 fof(f1,conjecture,(
% 0.15/5.66 ( ( (! [U,V] :( big_r(U,U)<=> big_r(U,V) ))& (! [W,Z] :( big_r(W,W)<=> big_r(Z,W) ) ))=> ( (? [X] : big_r(X,X))=> (! [Y] : big_r(Y,Y) )) ) ),
% 0.15/5.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.66 fof(f2,negated_conjecture,(
% 0.15/5.66 ~(( ( (! [U,V] :( big_r(U,U)<=> big_r(U,V) ))& (! [W,Z] :( big_r(W,W)<=> big_r(Z,W) ) ))=> ( (? [X] : big_r(X,X))=> (! [Y] : big_r(Y,Y) )) ) )),
% 0.15/5.66 inference(negated_conjecture,[status(cth)],[f1])).
% 0.15/5.66 fof(f3,plain,(
% 0.15/5.66 (((![U,V]: (big_r(U,U)<=>big_r(U,V)))&(![W,Z]: (big_r(W,W)<=>big_r(Z,W))))&((?[X]: big_r(X,X))&(?[Y]: ~big_r(Y,Y))))),
% 0.15/5.66 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.15/5.66 fof(f4,plain,(
% 0.15/5.66 ((![U,V]: ((~big_r(U,U)|big_r(U,V))&(big_r(U,U)|~big_r(U,V))))&(![W,Z]: ((~big_r(W,W)|big_r(Z,W))&(big_r(W,W)|~big_r(Z,W)))))&((?[X]: big_r(X,X))&(?[Y]: ~big_r(Y,Y)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f3])).
% 0.15/5.66 fof(f5,plain,(
% 0.15/5.66 (((![U]: (~big_r(U,U)|(![V]: big_r(U,V))))&(![U]: (big_r(U,U)|(![V]: ~big_r(U,V)))))&((![W]: (~big_r(W,W)|(![Z]: big_r(Z,W))))&(![W]: (big_r(W,W)|(![Z]: ~big_r(Z,W))))))&((?[X]: big_r(X,X))&(?[Y]: ~big_r(Y,Y)))),
% 0.15/5.66 inference(miniscoping,[status(thm)],[f4])).
% 0.15/5.66 fof(f6,plain,(
% 0.15/5.66 (((![U]: (~big_r(U,U)|(![V]: big_r(U,V))))&(![U]: (big_r(U,U)|(![V]: ~big_r(U,V)))))&((![W]: (~big_r(W,W)|(![Z]: big_r(Z,W))))&(![W]: (big_r(W,W)|(![Z]: ~big_r(Z,W))))))&(big_r(sK0_skl,sK0_skl)&~big_r(sK1_skl,sK1_skl))),
% 0.15/5.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl)],[f5])).
% 0.15/5.66 fof(f7,plain,(
% 0.15/5.66 ![X0,X1]: (~big_r(X0,X0)|big_r(X0,X1))),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/5.66 fof(f8,plain,(
% 0.15/5.66 ![X0,X1]: (big_r(X0,X0)|~big_r(X0,X1))),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/5.66 fof(f9,plain,(
% 0.15/5.66 ![X0,X1]: (~big_r(X0,X0)|big_r(X1,X0))),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/5.66 fof(f11,plain,(
% 0.15/5.66 big_r(sK0_skl,sK0_skl)),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/5.66 fof(f12,plain,(
% 0.15/5.66 ~big_r(sK1_skl,sK1_skl)),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/5.66 fof(f13,plain,(
% 0.15/5.66 ![X0]: (big_r(sK0_skl,X0))),
% 0.15/5.66 inference(resolution,[status(thm)],[f7,f11])).
% 0.15/5.66 fof(f16,plain,(
% 0.15/5.66 ![X0]: (big_r(X0,sK0_skl))),
% 0.15/5.66 inference(resolution,[status(thm)],[f9,f13])).
% 0.15/5.66 fof(f18,plain,(
% 0.15/5.66 ![X0]: (big_r(X0,X0))),
% 0.15/5.66 inference(resolution,[status(thm)],[f16,f8])).
% 0.15/5.66 fof(f21,plain,(
% 0.15/5.66 $false),
% 0.15/5.66 inference(backward_subsumption_resolution,[status(thm)],[f12,f18])).
% 0.15/5.66 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.70 % Elapsed time: 0.047295 seconds
% 0.15/5.70 % CPU time: 0.140875 seconds
% 0.15/5.70 % Total memory used: 55.348 MB
% 0.15/5.70 % Net memory used: 54.740 MB
%------------------------------------------------------------------------------