%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM531+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 01:43:08 PM UTC 2026
% Result : Theorem 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM531+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 02:37:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f6,axiom,(
% 0.10/0.41 isFinite0(slcrc0) ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f8,axiom,(
% 0.10/0.41 (! [W0] :( ( aSet0(W0)& isCountable0(W0) )=> ~ isFinite0(W0) ) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f9,conjecture,(
% 0.10/0.41 (! [W0] :( ( aSet0(W0)& isCountable0(W0) )=> ~ ( ~ (? [W1] : aElementOf0(W1,W0))& W0 = slcrc0 ) ) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f10,negated_conjecture,(
% 0.10/0.41 ~((! [W0] :( ( aSet0(W0)& isCountable0(W0) )=> ~ ( ~ (? [W1] : aElementOf0(W1,W0))& W0 = slcrc0 ) ) ))),
% 0.10/0.41 inference(negated_conjecture,[status(cth)],[f9])).
% 0.10/0.41 fof(f28,plain,(
% 0.10/0.41 isFinite0(slcrc0)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.41 fof(f31,plain,(
% 0.10/0.41 ![W0]: ((~aSet0(W0)|~isCountable0(W0))|~isFinite0(W0))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.10/0.41 fof(f32,plain,(
% 0.10/0.41 ![X0]: (~aSet0(X0)|~isCountable0(X0)|~isFinite0(X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.41 fof(f33,plain,(
% 0.10/0.41 (?[W0]: ((aSet0(W0)&isCountable0(W0))&((![W1]: ~aElementOf0(W1,W0))&W0=slcrc0)))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.10/0.41 fof(f34,plain,(
% 0.10/0.41 ((aSet0(sK1_skl)&isCountable0(sK1_skl))&((![W1]: ~aElementOf0(W1,sK1_skl))&sK1_skl=slcrc0))),
% 0.10/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W0,sK1_skl)],[f33])).
% 0.10/0.41 fof(f35,plain,(
% 0.10/0.41 aSet0(sK1_skl)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.10/0.41 fof(f36,plain,(
% 0.10/0.41 isCountable0(sK1_skl)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.10/0.41 fof(f38,plain,(
% 0.10/0.41 sK1_skl=slcrc0),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.10/0.41 fof(f43,plain,(
% 0.10/0.41 ~isCountable0(sK1_skl)|~isFinite0(sK1_skl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f32,f35])).
% 0.10/0.41 fof(f44,definition,(
% 0.10/0.41 sQ0_spl <=> (isCountable0(sK1_skl))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f46,plain,(
% 0.10/0.41 ~isCountable0(sK1_skl)|sQ0_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f44])).
% 0.10/0.41 fof(f47,definition,(
% 0.10/0.41 sQ1_spl <=> (isFinite0(sK1_skl))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f49,plain,(
% 0.10/0.41 ~isFinite0(sK1_skl)|sQ1_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f47])).
% 0.10/0.41 fof(f50,plain,(
% 0.10/0.41 ~sQ0_spl|~sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f43,f44,f47])).
% 0.10/0.41 fof(f51,plain,(
% 0.10/0.41 $false|sQ0_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f46,f36])).
% 0.10/0.41 fof(f52,plain,(
% 0.10/0.41 sQ0_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f51])).
% 0.10/0.41 fof(f53,plain,(
% 0.10/0.41 isFinite0(sK1_skl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f38,f28])).
% 0.10/0.41 fof(f54,plain,(
% 0.10/0.41 $false|sQ1_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f53,f49])).
% 0.10/0.41 fof(f55,plain,(
% 0.10/0.41 sQ1_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f54])).
% 0.10/0.41 fof(f56,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(sat_refutation,[status(thm)],[f50,f52,f55])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.065705 seconds
% 0.10/0.44 % CPU time: 0.189840 seconds
% 0.10/0.44 % Total memory used: 101.303 MB
% 0.10/0.44 % Net memory used: 100.767 MB
%------------------------------------------------------------------------------