%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM395+1 : TPTP v9.3.1. Released v3.2.0.
% 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 01:42:49 PM UTC 2026
% Result : Theorem 0.18s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM395+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % Computer : n026.cluster.edu
% 0.18/0.48 % Model : x86_64 x86_64
% 0.18/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.48 % Memory : 8046.5625MB
% 0.18/0.48 % OS : Linux 6.8.0-71-generic
% 0.18/0.48 % CPULimit : 300
% 0.18/0.48 % WCLimit : 300
% 0.18/0.48 % DateTime : Mon Sep 21 02:29:37 UTC 2026
% 0.18/0.48 % CPUTime :
% 0.18/0.51 % Drodi V4.1.1
% 0.18/0.54 % Refutation found
% 0.18/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.54 fof(f11,axiom,(
% 0.18/0.54 (! [A] :( ( epsilon_transitive(A)& epsilon_connected(A) )=> ordinal(A) ) )),
% 0.18/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f14,axiom,(
% 0.18/0.54 (? [A] :( relation(A)& empty(A)& function(A) ) )),
% 0.18/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f26,axiom,(
% 0.18/0.54 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.18/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f27,conjecture,(
% 0.18/0.54 ordinal(empty_set) ),
% 0.18/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f28,negated_conjecture,(
% 0.18/0.54 ~(ordinal(empty_set) )),
% 0.18/0.54 inference(negated_conjecture,[status(cth)],[f27])).
% 0.18/0.54 fof(f30,axiom,(
% 0.18/0.54 ( epsilon_transitive(empty_set)& epsilon_connected(empty_set) ) ),
% 0.18/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f56,plain,(
% 0.18/0.54 ![A]: ((~epsilon_transitive(A)|~epsilon_connected(A))|ordinal(A))),
% 0.18/0.54 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.18/0.54 fof(f57,plain,(
% 0.18/0.54 ![X0]: (~epsilon_transitive(X0)|~epsilon_connected(X0)|ordinal(X0))),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f56])).
% 0.18/0.54 fof(f65,plain,(
% 0.18/0.54 ((relation(sK3_skl)&empty(sK3_skl))&function(sK3_skl))),
% 0.18/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(A,sK3_skl)],[f14])).
% 0.18/0.54 fof(f67,plain,(
% 0.18/0.54 empty(sK3_skl)),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f65])).
% 0.18/0.54 fof(f100,plain,(
% 0.18/0.54 ![A]: (~empty(A)|A=empty_set)),
% 0.18/0.54 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.18/0.54 fof(f101,plain,(
% 0.18/0.54 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f100])).
% 0.18/0.54 fof(f102,plain,(
% 0.18/0.54 ~ordinal(empty_set)),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f28])).
% 0.18/0.54 fof(f108,plain,(
% 0.18/0.54 epsilon_transitive(empty_set)),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f30])).
% 0.18/0.54 fof(f109,plain,(
% 0.18/0.54 epsilon_connected(empty_set)),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f30])).
% 0.18/0.54 fof(f125,plain,(
% 0.18/0.54 sK3_skl=empty_set),
% 0.18/0.54 inference(resolution,[status(thm)],[f67,f101])).
% 0.18/0.54 fof(f131,plain,(
% 0.18/0.54 ~ordinal(sK3_skl)),
% 0.18/0.54 inference(backward_demodulation,[status(thm)],[f125,f102])).
% 0.18/0.54 fof(f145,plain,(
% 0.18/0.54 epsilon_transitive(sK3_skl)),
% 0.18/0.54 inference(forward_demodulation,[status(thm)],[f125,f108])).
% 0.18/0.54 fof(f146,plain,(
% 0.18/0.54 epsilon_connected(sK3_skl)),
% 0.18/0.54 inference(forward_demodulation,[status(thm)],[f125,f109])).
% 0.18/0.54 fof(f147,plain,(
% 0.18/0.54 ~epsilon_transitive(sK3_skl)|ordinal(sK3_skl)),
% 0.18/0.54 inference(resolution,[status(thm)],[f146,f57])).
% 0.18/0.54 fof(f148,plain,(
% 0.18/0.54 ordinal(sK3_skl)),
% 0.18/0.54 inference(forward_subsumption_resolution,[status(thm)],[f147,f145])).
% 0.18/0.54 fof(f149,plain,(
% 0.18/0.54 $false),
% 0.18/0.54 inference(forward_subsumption_resolution,[status(thm)],[f148,f131])).
% 0.18/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.58 % Elapsed time: 0.080575 seconds
% 0.23/0.58 % CPU time: 0.104358 seconds
% 0.23/0.58 % Total memory used: 5.079 MB
% 0.23/0.58 % Net memory used: 5.074 MB
%------------------------------------------------------------------------------