%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN067+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 : n003.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 01:57:25 PM UTC 2026
% Result : Theorem 0.17s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUN067+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n003.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 03:25:46 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.17/0.48 % Refutation found
% 0.17/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.48 fof(f6,axiom,(
% 0.17/0.48 (! [X21,X22] :( ~ id(X21,X22)| id(X22,X21) ) )),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f12,axiom,(
% 0.17/0.48 (! [X1,X8] :(? [Y4] :( (? [Y5] :( id(Y5,Y4)& (? [Y15] :( r2(X8,Y15)& r3(X1,Y15,Y5) ) )))& (? [Y7] :( r2(Y7,Y4)& r3(X1,X8,Y7) ) )) ))),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f18,axiom,(
% 0.17/0.48 (! [X7,Y10] :( (! [Y20] :( ~ id(Y20,Y10)| ~ r1(Y20) ))| ~ r2(X7,Y10) ) )),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f19,conjecture,(
% 0.17/0.48 (? [Y1] :(! [Y2] :( ~ id(Y1,Y2)| ~ r1(Y2) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f20,negated_conjecture,(
% 0.17/0.48 ~((? [Y1] :(! [Y2] :( ~ id(Y1,Y2)| ~ r1(Y2) ) )))),
% 0.17/0.48 inference(negated_conjecture,[status(cth)],[f19])).
% 0.17/0.48 fof(f42,plain,(
% 0.17/0.48 ![X0,X1]: (~id(X0,X1)|id(X1,X0))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.17/0.48 fof(f61,plain,(
% 0.17/0.48 ![X1,X8]: ((id(sK5_skl(X8,X1),sK4_skl(X8,X1))&(r2(X8,sK6_skl(X8,X1))&r3(X1,sK6_skl(X8,X1),sK5_skl(X8,X1))))&(r2(sK7_skl(X8,X1),sK4_skl(X8,X1))&r3(X1,X8,sK7_skl(X8,X1))))),
% 0.17/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl]),skolemize(Y4,sK4_skl(X8,X1)),skolemize(Y5,sK5_skl(X8,X1)),skolemize(Y15,sK6_skl(X8,X1)),skolemize(Y7,sK7_skl(X8,X1))],[f12])).
% 0.17/0.48 fof(f63,plain,(
% 0.17/0.48 ![X0,X1]: (r2(X0,sK6_skl(X0,X1)))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f61])).
% 0.17/0.48 fof(f89,plain,(
% 0.17/0.48 ![Y10]: ((![Y20]: (~id(Y20,Y10)|~r1(Y20)))|(![X7]: ~r2(X7,Y10)))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f18])).
% 0.17/0.48 fof(f90,plain,(
% 0.17/0.48 ![X0,X1,X2]: (~id(X0,X1)|~r1(X0)|~r2(X2,X1))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f89])).
% 0.17/0.48 fof(f91,plain,(
% 0.17/0.48 (![Y1]: ?[Y2]: (id(Y1,Y2)&r1(Y2)))),
% 0.17/0.48 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.17/0.48 fof(f92,plain,(
% 0.17/0.48 ![Y1]: (id(Y1,sK20_skl(Y1))&r1(sK20_skl(Y1)))),
% 0.17/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl]),skolemize(Y2,sK20_skl(Y1))],[f91])).
% 0.17/0.48 fof(f93,plain,(
% 0.17/0.48 ![X0]: (id(X0,sK20_skl(X0)))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f92])).
% 0.17/0.48 fof(f94,plain,(
% 0.17/0.48 ![X0]: (r1(sK20_skl(X0)))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f92])).
% 0.17/0.48 fof(f144,plain,(
% 0.17/0.48 ![X0,X1,X2]: (~id(X0,sK6_skl(X1,X2))|~r1(X0))),
% 0.17/0.48 inference(resolution,[status(thm)],[f63,f90])).
% 0.17/0.48 fof(f155,plain,(
% 0.17/0.48 ![X0,X1,X2]: (~r1(X0)|~id(sK6_skl(X1,X2),X0))),
% 0.17/0.48 inference(resolution,[status(thm)],[f144,f42])).
% 0.17/0.48 fof(f165,plain,(
% 0.17/0.48 ![X0,X1]: (~r1(sK20_skl(sK6_skl(X0,X1))))),
% 0.17/0.48 inference(resolution,[status(thm)],[f155,f93])).
% 0.17/0.48 fof(f169,plain,(
% 0.17/0.48 $false),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f165,f94])).
% 0.17/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.56 % Elapsed time: 0.109886 seconds
% 0.25/0.56 % CPU time: 0.060802 seconds
% 0.25/0.56 % Total memory used: 627.760 KB
% 0.25/0.56 % Net memory used: 621.568 KB
%------------------------------------------------------------------------------