%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN413+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 : n020.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 03:19:35 PM UTC 2026
% Result : Theorem 0.10s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN413+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
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:54:32 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.38 fof(f1,conjecture,(
% 0.10/0.38 ( (! [Z] :(? [Y] :(! [X] :( f(X,Y)<=> ( f(X,Z)& ~ f(X,X) ) ))))=> ~ (? [V] :(! [U] : f(U,V) ))) ),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f2,negated_conjecture,(
% 0.10/0.38 ~(( (! [Z] :(? [Y] :(! [X] :( f(X,Y)<=> ( f(X,Z)& ~ f(X,X) ) ))))=> ~ (? [V] :(! [U] : f(U,V) ))) )),
% 0.10/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.38 fof(f3,plain,(
% 0.10/0.38 ((![Z]: ?[Y]: ![X]: (f(X,Y)<=>(f(X,Z)&~f(X,X))))&(?[V]: ![U]: f(U,V)))),
% 0.10/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/0.38 fof(f4,plain,(
% 0.10/0.38 (![Z]: ?[Y]: ![X]: ((~f(X,Y)|(f(X,Z)&~f(X,X)))&(f(X,Y)|(~f(X,Z)|f(X,X)))))&(?[V]: ![U]: f(U,V))),
% 0.10/0.38 inference(NNF_transformation,[status(thm)],[f3])).
% 0.10/0.38 fof(f5,plain,(
% 0.10/0.38 (![Z]: ?[Y]: ((![X]: (~f(X,Y)|(f(X,Z)&~f(X,X))))&(![X]: (f(X,Y)|(~f(X,Z)|f(X,X))))))&(?[V]: ![U]: f(U,V))),
% 0.10/0.38 inference(miniscoping,[status(thm)],[f4])).
% 0.10/0.38 fof(f6,plain,(
% 0.10/0.38 (![Z]: ((![X]: (~f(X,sK0_skl(Z))|(f(X,Z)&~f(X,X))))&(![X]: (f(X,sK0_skl(Z))|(~f(X,Z)|f(X,X))))))&![U]: f(U,sK1_skl)),
% 0.10/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl(Z)),skolemize(V,sK1_skl)],[f5])).
% 0.10/0.38 fof(f8,plain,(
% 0.10/0.38 ![X0,X1]: (~f(X0,sK0_skl(X1))|~f(X0,X0))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.38 fof(f9,plain,(
% 0.10/0.38 ![X0,X1]: (f(X0,sK0_skl(X1))|~f(X0,X1)|f(X0,X0))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.38 fof(f10,plain,(
% 0.10/0.38 ![X0]: (f(X0,sK1_skl))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.38 fof(f11,plain,(
% 0.10/0.38 ![X0]: (f(X0,sK0_skl(sK1_skl))|f(X0,X0))),
% 0.10/0.38 inference(resolution,[status(thm)],[f9,f10])).
% 0.10/0.38 fof(f18,plain,(
% 0.10/0.38 ![X0]: (f(sK0_skl(X0),sK0_skl(sK1_skl))|~f(sK0_skl(X0),sK0_skl(X0)))),
% 0.10/0.38 inference(resolution,[status(thm)],[f11,f8])).
% 0.10/0.38 fof(f29,plain,(
% 0.10/0.38 ![X0]: (~f(sK0_skl(X0),sK0_skl(X0)))),
% 0.10/0.38 inference(forward_subsumption_resolution,[status(thm)],[f18,f8])).
% 0.10/0.38 fof(f30,plain,(
% 0.10/0.38 $false),
% 0.10/0.38 inference(resolution,[status(thm)],[f29,f11])).
% 0.10/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.037285 seconds
% 0.14/0.40 % CPU time: 0.105940 seconds
% 0.14/0.40 % Total memory used: 16.500 MB
% 0.14/0.40 % Net memory used: 15.933 MB
%------------------------------------------------------------------------------