%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV237+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 02:50:17 PM UTC 2026
% Result : Theorem 3.19s 0.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV237+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n015.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 08:38:51 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 3.19/0.94 % Refutation found
% 3.19/0.94 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.19/0.94 % SZS output start CNFRefutation for theBenchmark
% 3.19/0.94 fof(f1,axiom,(
% 3.19/0.94 (! [U,V] : enc(i(U),enc(U,V)) = V )),
% 3.19/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.19/0.94 fof(f4,axiom,(
% 3.19/0.94 (! [U] :( p(U)=> p(i(U)) ) )),
% 3.19/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.19/0.94 fof(f9,axiom,(
% 3.19/0.94 (! [U,V,W] :( ( p(U)& p(V)& p(W) )=> p(enc(enc(i(tmk),V),enc(i(tc),U))) ) )),
% 3.19/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.19/0.94 fof(f10,axiom,(
% 3.19/0.94 (! [U,V,W] :( ( p(U)& p(V)& p(W) )=> p(enc(tc,U)) ) )),
% 3.19/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.19/0.94 fof(f16,axiom,(
% 3.19/0.94 (! [U,V,W] :( ( p(U)& p(V)& p(W) )=> p(enc(U,V)) ) )),
% 3.19/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.19/0.94 fof(f17,axiom,(
% 3.19/0.94 p(enc(tmk,pp)) ),
% 3.19/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.19/0.94 fof(f23,axiom,(
% 3.19/0.94 p(i(kk)) ),
% 3.19/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.19/0.94 fof(f24,axiom,(
% 3.19/0.94 p(a) ),
% 3.19/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.19/0.94 fof(f25,conjecture,(
% 3.19/0.94 p(enc(pp,a)) ),
% 3.19/0.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.19/0.94 fof(f26,negated_conjecture,(
% 3.19/0.94 ~(p(enc(pp,a)) )),
% 3.19/0.94 inference(negated_conjecture,[status(cth)],[f25])).
% 3.19/0.94 fof(f27,plain,(
% 3.19/0.94 ![X0,X1]: (enc(i(X0),enc(X0,X1))=X1)),
% 3.19/0.94 inference(cnf_transformation,[status(thm)],[f1])).
% 3.19/0.94 fof(f30,plain,(
% 3.19/0.94 ![U]: (~p(U)|p(i(U)))),
% 3.19/0.94 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 3.19/0.94 fof(f31,plain,(
% 3.19/0.94 ![X0]: (~p(X0)|p(i(X0)))),
% 3.19/0.94 inference(cnf_transformation,[status(thm)],[f30])).
% 3.19/0.94 fof(f44,plain,(
% 3.19/0.94 ![U,V,W]: (((~p(U)|~p(V))|~p(W))|p(enc(enc(i(tmk),V),enc(i(tc),U))))),
% 3.19/0.94 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 3.19/0.94 fof(f45,plain,(
% 3.19/0.94 ![U,V]: (((~p(U)|~p(V))|(![W]: ~p(W)))|p(enc(enc(i(tmk),V),enc(i(tc),U))))),
% 3.19/0.94 inference(miniscoping,[status(thm)],[f44])).
% 3.19/0.94 fof(f46,plain,(
% 3.19/0.94 ![X0,X1,X2]: (~p(X0)|~p(X1)|~p(X2)|p(enc(enc(i(tmk),X1),enc(i(tc),X0))))),
% 3.19/0.94 inference(cnf_transformation,[status(thm)],[f45])).
% 3.19/0.94 fof(f47,plain,(
% 3.19/0.94 ![U,V,W]: (((~p(U)|~p(V))|~p(W))|p(enc(tc,U)))),
% 3.19/0.94 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 3.19/0.94 fof(f48,plain,(
% 3.19/0.94 ![U]: (((~p(U)|(![V]: ~p(V)))|(![W]: ~p(W)))|p(enc(tc,U)))),
% 3.19/0.94 inference(miniscoping,[status(thm)],[f47])).
% 3.19/0.94 fof(f49,plain,(
% 3.19/0.94 ![X0,X1,X2]: (~p(X0)|~p(X1)|~p(X2)|p(enc(tc,X0)))),
% 3.19/0.94 inference(cnf_transformation,[status(thm)],[f48])).
% 3.19/0.94 fof(f63,plain,(
% 3.19/0.94 ![U,V,W]: (((~p(U)|~p(V))|~p(W))|p(enc(U,V)))),
% 3.19/0.94 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 3.19/0.94 fof(f64,plain,(
% 3.19/0.94 ![U,V]: (((~p(U)|~p(V))|(![W]: ~p(W)))|p(enc(U,V)))),
% 3.19/0.94 inference(miniscoping,[status(thm)],[f63])).
% 3.19/0.94 fof(f65,plain,(
% 3.19/0.94 ![X0,X1,X2]: (~p(X0)|~p(X1)|~p(X2)|p(enc(X0,X1)))),
% 3.19/0.94 inference(cnf_transformation,[status(thm)],[f64])).
% 3.19/0.94 fof(f66,plain,(
% 3.19/0.94 p(enc(tmk,pp))),
% 3.19/0.94 inference(cnf_transformation,[status(thm)],[f17])).
% 3.19/0.94 fof(f72,plain,(
% 3.19/0.94 p(i(kk))),
% 3.19/0.94 inference(cnf_transformation,[status(thm)],[f23])).
% 3.19/0.94 fof(f73,plain,(
% 3.19/0.94 p(a)),
% 3.19/0.94 inference(cnf_transformation,[status(thm)],[f24])).
% 3.19/0.94 fof(f74,plain,(
% 3.19/0.94 ~p(enc(pp,a))),
% 3.19/0.94 inference(cnf_transformation,[status(thm)],[f26])).
% 3.19/0.94 fof(f75,plain,(
% 3.19/0.94 ![X0,X1]: (~p(X0)|~p(X1)|p(enc(X0,X1)))),
% 3.19/0.94 inference(factoring,[status(thm)],[f65])).
% 3.19/0.94 fof(f79,plain,(
% 3.19/0.94 ![X0,X1]: (~p(i(X0))|~p(enc(X0,X1))|p(X1))),
% 3.19/0.94 inference(paramodulation,[status(thm)],[f27,f75])).
% 3.19/0.94 fof(f89,plain,(
% 3.19/0.94 ![X0,X1]: (~p(X0)|~p(enc(X0,X1))|p(X1))),
% 3.19/0.94 inference(resolution,[status(thm)],[f31,f79])).
% 3.19/0.94 fof(f112,plain,(
% 3.19/0.94 ![X0,X1,X2]: (~p(X0)|~p(enc(tmk,X1))|~p(X2)|p(enc(X1,enc(i(tc),X0))))),
% 3.19/0.94 inference(paramodulation,[status(thm)],[f27,f46])).
% 3.19/0.94 fof(f133,plain,(
% 3.19/0.94 ![X0,X1]: (~p(i(X0))|~p(X1)|p(enc(X0,X1)))),
% 3.19/0.94 inference(paramodulation,[status(thm)],[f27,f89])).
% 3.19/0.94 fof(f296,plain,(
% 3.19/0.94 ![X0,X1]: (~p(X0)|~p(X1)|p(enc(pp,enc(i(tc),X0))))),
% 3.19/0.94 inference(resolution,[status(thm)],[f112,f66])).
% 3.19/0.94 fof(f344,plain,(
% 3.19/0.94 ![X0,X1]: (~p(enc(tc,X0))|~p(X1)|p(enc(pp,X0)))),
% 3.19/0.94 inference(paramodulation,[status(thm)],[f27,f296])).
% 3.19/0.94 fof(f396,plain,(
% 3.19/0.94 ![X0]: (~p(enc(tc,a))|~p(X0))),
% 3.19/0.94 inference(resolution,[status(thm)],[f344,f74])).
% 3.19/0.94 fof(f399,plain,(
% 3.19/0.94 ![X0,X1,X2]: (~p(X0)|~p(a)|~p(X1)|~p(X2))),
% 3.19/0.94 inference(resolution,[status(thm)],[f396,f49])).
% 3.19/0.94 fof(f403,plain,(
% 3.19/0.94 ![X0,X1]: (~p(i(X0))|~p(X1))),
% 3.19/0.94 inference(backward_subsumption_resolution,[status(thm)],[f133,f424])).
% 3.19/0.94 fof(f424,plain,(
% 3.19/0.94 ![X0,X1,X2]: (~p(X0)|~p(X1)|~p(X2))),
% 3.19/0.94 inference(forward_subsumption_resolution,[status(thm)],[f399,f73])).
% 3.19/0.94 fof(f425,plain,(
% 3.19/0.94 ![X0]: (~p(X0))),
% 3.19/0.94 inference(backward_subsumption_resolution,[status(thm)],[f31,f403])).
% 3.19/0.94 fof(f437,plain,(
% 3.19/0.94 $false),
% 3.19/0.94 inference(backward_subsumption_resolution,[status(thm)],[f72,f425])).
% 3.19/0.94 % SZS output end CNFRefutation for theBenchmark.p
% 1.48/0.95 % Elapsed time: 0.507884 seconds
% 1.48/0.95 % CPU time: 3.697945 seconds
% 1.48/0.95 % Total memory used: 93.371 MB
% 1.48/0.95 % Net memory used: 88.729 MB
%------------------------------------------------------------------------------