%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN327+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 : n004.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 03:19:22 PM UTC 2026
% Result : Theorem 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN327+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 : n004.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 10:49:35 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,conjecture,(
% 0.10/0.39 (! [X] :(? [Y] :(! [Z] :( big_f(Y,X)=> ( ( big_f(X,Z)=> big_f(X,Y) )& ( big_f(X,Y)=> ( ~ big_f(X,Z)=> ( big_f(Y,X)& big_f(Z,Y) ) ) ) ) ) )))),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f2,negated_conjecture,(
% 0.10/0.39 ~((! [X] :(? [Y] :(! [Z] :( big_f(Y,X)=> ( ( big_f(X,Z)=> big_f(X,Y) )& ( big_f(X,Y)=> ( ~ big_f(X,Z)=> ( big_f(Y,X)& big_f(Z,Y) ) ) ) ) ) ))))),
% 0.10/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.39 fof(f3,plain,(
% 0.10/0.39 (?[X]: ![Y]: ?[Z]: (big_f(Y,X)&((big_f(X,Z)&~big_f(X,Y))|(big_f(X,Y)&(~big_f(X,Z)&(~big_f(Y,X)|~big_f(Z,Y)))))))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/0.39 fof(f4,definition,(
% 0.10/0.39 ![X,Y,Z]: (sP0_prd(Z,Y,X)<=>(big_f(X,Z)&~big_f(X,Y)))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.10/0.39 fof(f5,plain,(
% 0.10/0.39 ?[X]: ![Y]: ?[Z]: (big_f(Y,X)&(sP0_prd(Z,Y,X)|(big_f(X,Y)&(~big_f(X,Z)&(~big_f(Y,X)|~big_f(Z,Y))))))),
% 0.10/0.39 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.10/0.39 fof(f6,plain,(
% 0.10/0.39 ?[X]: ((![Y]: big_f(Y,X))&(![Y]: ((?[Z]: sP0_prd(Z,Y,X))|(big_f(X,Y)&(?[Z]: (~big_f(X,Z)&(~big_f(Y,X)|~big_f(Z,Y))))))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f5])).
% 0.10/0.39 fof(f7,plain,(
% 0.10/0.39 ((![Y]: big_f(Y,sK0_skl))&(![Y]: (sP0_prd(sK1_skl(Y),Y,sK0_skl)|(big_f(sK0_skl,Y)&(~big_f(sK0_skl,sK2_skl(Y))&(~big_f(Y,sK0_skl)|~big_f(sK2_skl(Y),Y)))))))),
% 0.10/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(Z,sK1_skl(Y)),skolemize(Z,sK2_skl(Y))],[f6])).
% 0.10/0.39 fof(f8,plain,(
% 0.10/0.39 ![X0]: (big_f(X0,sK0_skl))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.39 fof(f11,plain,(
% 0.10/0.39 ![X0]: (sP0_prd(sK1_skl(X0),X0,sK0_skl)|~big_f(X0,sK0_skl)|~big_f(sK2_skl(X0),X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.39 fof(f12,plain,(
% 0.10/0.39 ![X,Y,Z]: ((~sP0_prd(Z,Y,X)|(big_f(X,Z)&~big_f(X,Y)))&(sP0_prd(Z,Y,X)|(~big_f(X,Z)|big_f(X,Y))))),
% 0.10/0.39 inference(NNF_transformation,[status(thm)],[f4])).
% 0.10/0.39 fof(f13,plain,(
% 0.10/0.39 (![X,Y,Z]: (~sP0_prd(Z,Y,X)|(big_f(X,Z)&~big_f(X,Y))))&(![X,Y,Z]: (sP0_prd(Z,Y,X)|(~big_f(X,Z)|big_f(X,Y))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f12])).
% 0.10/0.39 fof(f15,plain,(
% 0.10/0.39 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|~big_f(X2,X1))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.39 fof(f17,plain,(
% 0.10/0.39 ![X0]: (sP0_prd(sK1_skl(X0),X0,sK0_skl)|~big_f(sK2_skl(X0),X0))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f11,f8])).
% 0.10/0.39 fof(f24,plain,(
% 0.10/0.39 sP0_prd(sK1_skl(sK0_skl),sK0_skl,sK0_skl)),
% 0.10/0.39 inference(resolution,[status(thm)],[f17,f8])).
% 0.10/0.39 fof(f25,plain,(
% 0.10/0.39 ~big_f(sK0_skl,sK0_skl)),
% 0.10/0.39 inference(resolution,[status(thm)],[f24,f15])).
% 0.10/0.39 fof(f27,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f25,f8])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.040761 seconds
% 0.10/0.42 % CPU time: 0.101481 seconds
% 0.10/0.42 % Total memory used: 16.596 MB
% 0.10/0.42 % Net memory used: 16.091 MB
%------------------------------------------------------------------------------