%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN965+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 : n018.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 03:21:37 PM UTC 2026
% Result : Theorem 0.08s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN965+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
% 0.08/0.34 % Computer : n018.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 11:33:13 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.08/0.36 % Refutation found
% 0.08/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.36 fof(f1,conjecture,(
% 0.08/0.36 (? [Z] :(! [X] :(? [Y] :( ( p(Y,X)=> (? [W] : p(W,Y) ))& ( ( p(Z,Y)& p(Y,Z) )=> p(Y,X) ) ) )))),
% 0.08/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.36 fof(f2,negated_conjecture,(
% 0.08/0.36 ~((? [Z] :(! [X] :(? [Y] :( ( p(Y,X)=> (? [W] : p(W,Y) ))& ( ( p(Z,Y)& p(Y,Z) )=> p(Y,X) ) ) ))))),
% 0.08/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.36 fof(f3,plain,(
% 0.08/0.36 (![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,X))))),
% 0.08/0.36 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.36 fof(f4,definition,(
% 0.08/0.36 ![X,Y]: (sP0_prd(Y,X)<=>(p(Y,X)&(![W]: ~p(W,Y))))),
% 0.08/0.36 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.08/0.36 fof(f5,plain,(
% 0.08/0.36 ![Z]: ?[X]: ![Y]: (sP0_prd(Y,X)|((p(Z,Y)&p(Y,Z))&~p(Y,X)))),
% 0.08/0.36 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.08/0.36 fof(f6,plain,(
% 0.08/0.36 ![Z]: ![Y]: (sP0_prd(Y,sK0_skl(Z))|((p(Z,Y)&p(Y,Z))&~p(Y,sK0_skl(Z))))),
% 0.08/0.36 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(Z))],[f5])).
% 0.08/0.36 fof(f8,plain,(
% 0.08/0.36 ![X0,X1]: (sP0_prd(X0,sK0_skl(X1))|p(X0,X1))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.36 fof(f9,plain,(
% 0.08/0.36 ![X0,X1]: (sP0_prd(X0,sK0_skl(X1))|~p(X0,sK0_skl(X1)))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.36 fof(f10,plain,(
% 0.08/0.36 ![X,Y]: ((~sP0_prd(Y,X)|(p(Y,X)&(![W]: ~p(W,Y))))&(sP0_prd(Y,X)|(~p(Y,X)|(?[W]: p(W,Y)))))),
% 0.08/0.36 inference(NNF_transformation,[status(thm)],[f4])).
% 0.08/0.36 fof(f11,plain,(
% 0.08/0.36 (![X,Y]: (~sP0_prd(Y,X)|(p(Y,X)&(![W]: ~p(W,Y)))))&(![X,Y]: (sP0_prd(Y,X)|(~p(Y,X)|(?[W]: p(W,Y)))))),
% 0.08/0.36 inference(miniscoping,[status(thm)],[f10])).
% 0.08/0.36 fof(f12,plain,(
% 0.08/0.36 (![X,Y]: (~sP0_prd(Y,X)|(p(Y,X)&(![W]: ~p(W,Y)))))&(![X,Y]: (sP0_prd(Y,X)|(~p(Y,X)|p(sK1_skl(Y,X),Y))))),
% 0.08/0.36 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W,sK1_skl(Y,X))],[f11])).
% 0.08/0.36 fof(f13,plain,(
% 0.08/0.36 ![X0,X1]: (~sP0_prd(X0,X1)|p(X0,X1))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/0.36 fof(f14,plain,(
% 0.08/0.36 ![X0,X1,X2]: (~sP0_prd(X0,X1)|~p(X2,X0))),
% 0.08/0.36 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/0.36 fof(f17,plain,(
% 0.08/0.36 ![X0,X1,X2]: (p(X0,X1)|~p(X2,X0))),
% 0.08/0.36 inference(resolution,[status(thm)],[f8,f14])).
% 0.08/0.36 fof(f18,plain,(
% 0.08/0.36 ![X0,X1,X2]: (sP0_prd(X0,sK0_skl(X1))|~p(X2,X0))),
% 0.08/0.36 inference(resolution,[status(thm)],[f9,f17])).
% 0.08/0.36 fof(f21,plain,(
% 0.08/0.36 ![X0,X1]: (~p(X0,X1))),
% 0.08/0.36 inference(forward_subsumption_resolution,[status(thm)],[f18,f14])).
% 0.08/0.36 fof(f22,plain,(
% 0.08/0.36 ![X0,X1]: (sP0_prd(X0,sK0_skl(X1)))),
% 0.08/0.36 inference(backward_subsumption_resolution,[status(thm)],[f8,f21])).
% 0.08/0.36 fof(f24,plain,(
% 0.08/0.36 ![X0,X1]: (~sP0_prd(X0,X1))),
% 0.08/0.36 inference(backward_subsumption_resolution,[status(thm)],[f13,f21])).
% 0.08/0.36 fof(f25,plain,(
% 0.08/0.36 $false),
% 0.08/0.36 inference(forward_subsumption_resolution,[status(thm)],[f22,f24])).
% 0.08/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.38 % Elapsed time: 0.027690 seconds
% 0.08/0.38 % CPU time: 0.032611 seconds
% 0.08/0.38 % Total memory used: 1.034 MB
% 0.08/0.38 % Net memory used: 1.008 MB
%------------------------------------------------------------------------------