%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN088+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 0.17s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUN088+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n014.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 03:25:19 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.47 % Refutation found
% 0.17/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.47 fof(f18,axiom,(
% 0.17/0.47 (! [X7,Y10] :( (! [Y20] :( ~ id(Y20,Y10)| ~ r1(Y20) ))| ~ r2(X7,Y10) ) )),
% 0.17/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f19,conjecture,(
% 0.17/0.47 (! [Y1] :( (! [Y2] :( ~ id(Y2,Y1)| ~ r1(Y2) ))| (! [Y3] :( ~ r1(Y3)| ~ r2(Y3,Y1) ) )) )),
% 0.17/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f20,negated_conjecture,(
% 0.17/0.47 ~((! [Y1] :( (! [Y2] :( ~ id(Y2,Y1)| ~ r1(Y2) ))| (! [Y3] :( ~ r1(Y3)| ~ r2(Y3,Y1) ) )) ))),
% 0.17/0.47 inference(negated_conjecture,[status(cth)],[f19])).
% 0.17/0.47 fof(f89,plain,(
% 0.17/0.47 ![Y10]: ((![Y20]: (~id(Y20,Y10)|~r1(Y20)))|(![X7]: ~r2(X7,Y10)))),
% 0.17/0.47 inference(miniscoping,[status(thm)],[f18])).
% 0.17/0.47 fof(f90,plain,(
% 0.17/0.47 ![X0,X1,X2]: (~id(X0,X1)|~r1(X0)|~r2(X2,X1))),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f89])).
% 0.17/0.47 fof(f91,plain,(
% 0.17/0.47 (?[Y1]: ((?[Y2]: (id(Y2,Y1)&r1(Y2)))&(?[Y3]: (r1(Y3)&r2(Y3,Y1)))))),
% 0.17/0.47 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.17/0.47 fof(f92,plain,(
% 0.17/0.47 ((id(sK21_skl,sK20_skl)&r1(sK21_skl))&(r1(sK22_skl)&r2(sK22_skl,sK20_skl)))),
% 0.17/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl]),skolemize(Y1,sK20_skl),skolemize(Y2,sK21_skl),skolemize(Y3,sK22_skl)],[f91])).
% 0.17/0.47 fof(f93,plain,(
% 0.17/0.47 id(sK21_skl,sK20_skl)),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f92])).
% 0.17/0.47 fof(f94,plain,(
% 0.17/0.47 r1(sK21_skl)),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f92])).
% 0.17/0.47 fof(f96,plain,(
% 0.17/0.47 r2(sK22_skl,sK20_skl)),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f92])).
% 0.17/0.47 fof(f142,plain,(
% 0.17/0.47 ![X0]: (~id(X0,sK20_skl)|~r1(X0))),
% 0.17/0.47 inference(resolution,[status(thm)],[f90,f96])).
% 0.17/0.47 fof(f144,plain,(
% 0.17/0.47 ~id(sK21_skl,sK20_skl)),
% 0.17/0.47 inference(resolution,[status(thm)],[f142,f94])).
% 0.17/0.47 fof(f145,plain,(
% 0.17/0.47 $false),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f144,f93])).
% 0.17/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.53 % Elapsed time: 0.079309 seconds
% 0.24/0.53 % CPU time: 0.055278 seconds
% 0.24/0.53 % Total memory used: 590.272 KB
% 0.24/0.53 % Net memory used: 587.520 KB
%------------------------------------------------------------------------------