%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN369+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 03:19:30 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN369+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:51:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,conjecture,(
% 0.13/0.39 ( (! [U,V,W] :( big_p(U,V)| big_p(V,W) ))=> (? [X] :(! [Y] : big_p(X,Y) ))) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,negated_conjecture,(
% 0.13/0.39 ~(( (! [U,V,W] :( big_p(U,V)| big_p(V,W) ))=> (? [X] :(! [Y] : big_p(X,Y) ))) )),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.39 fof(f3,plain,(
% 0.13/0.39 ((![U,V,W]: (big_p(U,V)|big_p(V,W)))&(![X]: ?[Y]: ~big_p(X,Y)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f4,plain,(
% 0.13/0.39 (![V]: ((![U]: big_p(U,V))|(![W]: big_p(V,W))))&(![X]: ?[Y]: ~big_p(X,Y))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f3])).
% 0.13/0.39 fof(f5,plain,(
% 0.13/0.39 (![V]: ((![U]: big_p(U,V))|(![W]: big_p(V,W))))&(![X]: ~big_p(X,sK0_skl(X)))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f4])).
% 0.13/0.39 fof(f6,plain,(
% 0.13/0.39 ![X0,X1,X2]: (big_p(X0,X1)|big_p(X1,X2))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f7,plain,(
% 0.13/0.39 ![X0]: (~big_p(X0,sK0_skl(X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f9,plain,(
% 0.13/0.39 ![X0,X1]: (big_p(X0,X1))),
% 0.13/0.39 inference(resolution,[status(thm)],[f6,f7])).
% 0.13/0.39 fof(f11,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(backward_subsumption_resolution,[status(thm)],[f7,f9])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.037935 seconds
% 0.13/0.41 % CPU time: 0.095490 seconds
% 0.13/0.41 % Total memory used: 13.342 MB
% 0.13/0.41 % Net memory used: 12.816 MB
%------------------------------------------------------------------------------