%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN919+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 03:21:33 PM UTC 2026
% Result : Theorem 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN919+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n009.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 11:29:42 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f1,conjecture,(
% 0.11/0.38 ( ( (! [X,Y] :( r(X,Y)=> r(Y,X) ))& (! [X,Y,Z] :( ( r(X,Y)& r(Y,Z) )=> r(X,Z) ) ))=> (! [X,Y] :( r(X,Y)=> r(X,X) ) )) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f2,negated_conjecture,(
% 0.11/0.38 ~(( ( (! [X,Y] :( r(X,Y)=> r(Y,X) ))& (! [X,Y,Z] :( ( r(X,Y)& r(Y,Z) )=> r(X,Z) ) ))=> (! [X,Y] :( r(X,Y)=> r(X,X) ) )) )),
% 0.11/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.11/0.38 fof(f3,plain,(
% 0.11/0.38 (((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.11/0.38 fof(f4,plain,(
% 0.11/0.38 ((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Z]: ((![Y]: (~r(X,Y)|~r(Y,Z)))|r(X,Z))))&(?[X]: ((?[Y]: r(X,Y))&~r(X,X)))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f3])).
% 0.11/0.38 fof(f5,plain,(
% 0.11/0.38 ((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Z]: ((![Y]: (~r(X,Y)|~r(Y,Z)))|r(X,Z))))&(r(sK0_skl,sK1_skl)&~r(sK0_skl,sK0_skl))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl)],[f4])).
% 0.11/0.38 fof(f6,plain,(
% 0.11/0.38 ![X0,X1]: (~r(X0,X1)|r(X1,X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.38 fof(f7,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~r(X0,X1)|~r(X1,X2)|r(X0,X2))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.38 fof(f8,plain,(
% 0.11/0.38 r(sK0_skl,sK1_skl)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.38 fof(f9,plain,(
% 0.11/0.38 ~r(sK0_skl,sK0_skl)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.38 fof(f11,plain,(
% 0.11/0.38 ![X0]: (~r(sK0_skl,X0)|~r(X0,sK0_skl))),
% 0.11/0.38 inference(resolution,[status(thm)],[f7,f9])).
% 0.11/0.38 fof(f12,plain,(
% 0.11/0.38 ![X0]: (~r(X0,sK0_skl))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f11,f6])).
% 0.11/0.38 fof(f14,plain,(
% 0.11/0.38 ![X0]: (~r(sK0_skl,X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f12,f6])).
% 0.11/0.38 fof(f16,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(backward_subsumption_resolution,[status(thm)],[f8,f14])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.41 % Elapsed time: 0.042855 seconds
% 0.15/0.41 % CPU time: 0.063018 seconds
% 0.15/0.41 % Total memory used: 3.455 MB
% 0.15/0.41 % Net memory used: 3.423 MB
%------------------------------------------------------------------------------