%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN089+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 01:57:28 PM UTC 2026
% Result : Theorem 0.10s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN089+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.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
% 0.10/0.36 % DateTime : Mon Sep 21 03:25:55 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.37 fof(f18,axiom,(
% 0.10/0.37 (! [X7,Y10] :( (! [Y20] :( ~ id(Y20,Y10)| ~ r1(Y20) ))| ~ r2(X7,Y10) ) )),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f19,conjecture,(
% 0.10/0.37 (! [Y1] :( (! [Y2] :( (! [Y3] :( ~ r1(Y3)| ~ r2(Y3,Y2) ))| ~ r2(Y2,Y1) ))| (! [Y4] :( ~ id(Y4,Y1)| ~ r1(Y4) ) )) )),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f20,negated_conjecture,(
% 0.10/0.37 ~((! [Y1] :( (! [Y2] :( (! [Y3] :( ~ r1(Y3)| ~ r2(Y3,Y2) ))| ~ r2(Y2,Y1) ))| (! [Y4] :( ~ id(Y4,Y1)| ~ r1(Y4) ) )) ))),
% 0.10/0.37 inference(negated_conjecture,[status(cth)],[f19])).
% 0.10/0.37 fof(f89,plain,(
% 0.10/0.37 ![Y10]: ((![Y20]: (~id(Y20,Y10)|~r1(Y20)))|(![X7]: ~r2(X7,Y10)))),
% 0.10/0.37 inference(miniscoping,[status(thm)],[f18])).
% 0.10/0.37 fof(f90,plain,(
% 0.10/0.37 ![X0,X1,X2]: (~id(X0,X1)|~r1(X0)|~r2(X2,X1))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f89])).
% 0.10/0.37 fof(f91,plain,(
% 0.10/0.37 (?[Y1]: ((?[Y2]: ((?[Y3]: (r1(Y3)&r2(Y3,Y2)))&r2(Y2,Y1)))&(?[Y4]: (id(Y4,Y1)&r1(Y4)))))),
% 0.10/0.37 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.10/0.37 fof(f92,plain,(
% 0.10/0.37 (((r1(sK22_skl)&r2(sK22_skl,sK21_skl))&r2(sK21_skl,sK20_skl))&(id(sK23_skl,sK20_skl)&r1(sK23_skl)))),
% 0.10/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl]),skolemize(Y1,sK20_skl),skolemize(Y2,sK21_skl),skolemize(Y3,sK22_skl),skolemize(Y4,sK23_skl)],[f91])).
% 0.10/0.37 fof(f95,plain,(
% 0.10/0.37 r2(sK21_skl,sK20_skl)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f92])).
% 0.10/0.37 fof(f96,plain,(
% 0.10/0.37 id(sK23_skl,sK20_skl)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f92])).
% 0.10/0.37 fof(f97,plain,(
% 0.10/0.37 r1(sK23_skl)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f92])).
% 0.10/0.37 fof(f143,plain,(
% 0.10/0.37 ![X0,X1]: (~id(sK23_skl,X0)|~r2(X1,X0))),
% 0.10/0.37 inference(resolution,[status(thm)],[f90,f97])).
% 0.10/0.37 fof(f145,plain,(
% 0.10/0.37 ~id(sK23_skl,sK20_skl)),
% 0.10/0.37 inference(resolution,[status(thm)],[f143,f95])).
% 0.10/0.37 fof(f147,plain,(
% 0.10/0.37 $false),
% 0.10/0.37 inference(forward_subsumption_resolution,[status(thm)],[f145,f96])).
% 0.10/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.047618 seconds
% 0.14/0.41 % CPU time: 0.035272 seconds
% 0.14/0.41 % Total memory used: 1.176 MB
% 0.14/0.41 % Net memory used: 1.169 MB
%------------------------------------------------------------------------------