%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM568+3 : 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 : n010.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 01:43:14 PM UTC 2026
% Result : Theorem 0.08s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM568+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 02:40:54 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.45 % Refutation found
% 0.08/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.45 fof(f27,axiom,(
% 0.08/0.45 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( W0 = sz00| (? [W1] :( aElementOf0(W1,szNzAzT0)& W0 = szszuzczcdt0(W1) ) )) ) )),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f74,hypothesis,(
% 0.08/0.45 aElementOf0(xK,szNzAzT0) ),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f78,hypothesis,(
% 0.08/0.45 xK != sz00 ),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f80,conjecture,(
% 0.08/0.45 (? [W0] :( aElementOf0(W0,szNzAzT0)& szszuzczcdt0(W0) = xK ) )),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f81,negated_conjecture,(
% 0.08/0.45 ~((? [W0] :( aElementOf0(W0,szNzAzT0)& szszuzczcdt0(W0) = xK ) ))),
% 0.08/0.45 inference(negated_conjecture,[status(cth)],[f80])).
% 0.08/0.45 fof(f166,plain,(
% 0.08/0.45 ![W0]: (~aElementOf0(W0,szNzAzT0)|(W0=sz00|(?[W1]: (aElementOf0(W1,szNzAzT0)&W0=szszuzczcdt0(W1)))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.08/0.45 fof(f167,plain,(
% 0.08/0.45 ![W0]: (~aElementOf0(W0,szNzAzT0)|(W0=sz00|(aElementOf0(sK4_skl(W0),szNzAzT0)&W0=szszuzczcdt0(sK4_skl(W0)))))),
% 0.08/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(W1,sK4_skl(W0))],[f166])).
% 0.08/0.45 fof(f168,plain,(
% 0.08/0.45 ![X0]: (~aElementOf0(X0,szNzAzT0)|X0=sz00|aElementOf0(sK4_skl(X0),szNzAzT0))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f167])).
% 0.08/0.45 fof(f169,plain,(
% 0.08/0.45 ![X0]: (~aElementOf0(X0,szNzAzT0)|X0=sz00|X0=szszuzczcdt0(sK4_skl(X0)))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f167])).
% 0.08/0.45 fof(f340,plain,(
% 0.08/0.45 aElementOf0(xK,szNzAzT0)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f74])).
% 0.08/0.45 fof(f374,plain,(
% 0.08/0.45 ~xK=sz00),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f78])).
% 0.08/0.45 fof(f376,plain,(
% 0.08/0.45 (![W0]: (~aElementOf0(W0,szNzAzT0)|~szszuzczcdt0(W0)=xK))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f81])).
% 0.08/0.45 fof(f377,plain,(
% 0.08/0.45 ![X0]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=xK)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f376])).
% 0.08/0.45 fof(f710,plain,(
% 0.08/0.45 xK=sz00|aElementOf0(sK4_skl(xK),szNzAzT0)),
% 0.08/0.45 inference(resolution,[status(thm)],[f168,f340])).
% 0.08/0.45 fof(f712,plain,(
% 0.08/0.45 aElementOf0(sK4_skl(xK),szNzAzT0)),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f710,f374])).
% 0.08/0.45 fof(f716,plain,(
% 0.08/0.45 xK=sz00|xK=szszuzczcdt0(sK4_skl(xK))),
% 0.08/0.45 inference(resolution,[status(thm)],[f169,f340])).
% 0.08/0.45 fof(f718,plain,(
% 0.08/0.45 xK=szszuzczcdt0(sK4_skl(xK))),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f716,f374])).
% 0.08/0.45 fof(f761,plain,(
% 0.08/0.45 ~aElementOf0(sK4_skl(xK),szNzAzT0)),
% 0.08/0.45 inference(resolution,[status(thm)],[f718,f377])).
% 0.08/0.45 fof(f771,plain,(
% 0.08/0.45 $false),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f761,f712])).
% 0.08/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.50 % Elapsed time: 0.139865 seconds
% 0.16/0.50 % CPU time: 0.394753 seconds
% 0.16/0.50 % Total memory used: 55.203 MB
% 0.16/0.50 % Net memory used: 54.943 MB
%------------------------------------------------------------------------------