%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN088+2 : 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 : n026.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 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN088+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n026.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 03:28:06 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f11,axiom,(
% 0.13/0.40 (! [X7,Y10] :( (! [Y20] :( ~ r1(Y20)| Y20 != Y10 ))| ~ r2(X7,Y10) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f12,conjecture,(
% 0.13/0.40 (! [Y1] :( (! [Y2] :( ~ r1(Y2)| Y2 != Y1 ))| (! [Y3] :( ~ r1(Y3)| ~ r2(Y3,Y1) ) )) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f13,negated_conjecture,(
% 0.13/0.40 ~((! [Y1] :( (! [Y2] :( ~ r1(Y2)| Y2 != Y1 ))| (! [Y3] :( ~ r1(Y3)| ~ r2(Y3,Y1) ) )) ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f12])).
% 0.13/0.40 fof(f62,plain,(
% 0.13/0.40 ![Y10]: ((![Y20]: (~r1(Y20)|~Y20=Y10))|(![X7]: ~r2(X7,Y10)))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f11])).
% 0.13/0.40 fof(f63,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~r1(X0)|~X0=X1|~r2(X2,X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f62])).
% 0.13/0.40 fof(f64,plain,(
% 0.13/0.40 (?[Y1]: ((?[Y2]: (r1(Y2)&Y2=Y1))&(?[Y3]: (r1(Y3)&r2(Y3,Y1)))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.13/0.40 fof(f65,plain,(
% 0.13/0.40 ((r1(sK21_skl)&sK21_skl=sK20_skl)&(r1(sK22_skl)&r2(sK22_skl,sK20_skl)))),
% 0.13/0.40 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)],[f64])).
% 0.13/0.40 fof(f66,plain,(
% 0.13/0.40 r1(sK21_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f65])).
% 0.13/0.40 fof(f67,plain,(
% 0.13/0.40 sK21_skl=sK20_skl),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f65])).
% 0.13/0.40 fof(f69,plain,(
% 0.13/0.40 r2(sK22_skl,sK20_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f65])).
% 0.13/0.40 fof(f96,plain,(
% 0.13/0.40 ![X0,X1]: (~r1(X0)|~r2(X1,X0))),
% 0.13/0.40 inference(destructive_equality_resolution,[status(thm)],[f63])).
% 0.13/0.40 fof(f102,plain,(
% 0.13/0.40 r2(sK22_skl,sK21_skl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f67,f69])).
% 0.13/0.40 fof(f103,plain,(
% 0.13/0.40 ~r1(sK21_skl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f96,f102])).
% 0.13/0.40 fof(f104,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f103,f66])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.054665 seconds
% 0.13/0.42 % CPU time: 0.146715 seconds
% 0.13/0.42 % Total memory used: 102.317 MB
% 0.13/0.42 % Net memory used: 102.242 MB
%------------------------------------------------------------------------------