%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN941+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 03:21:35 PM UTC 2026
% Result : Theorem 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN941+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.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 11:30:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,conjecture,(
% 0.14/0.38 (! [B,C] :( q(f(B))=> (? [X,Y] :( ( p(f(Y))=> ( p(X)& ( r(Y)=> ( r(B)& r(C) ) ) ) )& q(X) ) )) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,negated_conjecture,(
% 0.14/0.38 ~((! [B,C] :( q(f(B))=> (? [X,Y] :( ( p(f(Y))=> ( p(X)& ( r(Y)=> ( r(B)& r(C) ) ) ) )& q(X) ) )) ))),
% 0.14/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.38 fof(f3,plain,(
% 0.14/0.38 (?[B,C]: (q(f(B))&(![X,Y]: ((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X)))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.38 fof(f4,plain,(
% 0.14/0.38 ?[B]: (q(f(B))&(?[C]: ![X]: (((![Y]: p(f(Y)))&(~p(X)|((![Y]: r(Y))&(~r(B)|~r(C)))))|~q(X))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f3])).
% 0.14/0.38 fof(f5,plain,(
% 0.14/0.38 (q(f(sK0_skl))&![X]: (((![Y]: p(f(Y)))&(~p(X)|((![Y]: r(Y))&(~r(sK0_skl)|~r(sK1_skl)))))|~q(X)))),
% 0.14/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(B,sK0_skl),skolemize(C,sK1_skl)],[f4])).
% 0.14/0.38 fof(f6,plain,(
% 0.14/0.38 q(f(sK0_skl))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.38 fof(f7,plain,(
% 0.14/0.38 ![X0,X1]: (p(f(X0))|~q(X1))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.38 fof(f8,plain,(
% 0.14/0.38 ![X0,X1]: (~p(X0)|r(X1)|~q(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.38 fof(f9,plain,(
% 0.14/0.38 ![X0]: (~p(X0)|~r(sK0_skl)|~r(sK1_skl)|~q(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.38 fof(f10,plain,(
% 0.14/0.38 ![X0]: (p(f(X0)))),
% 0.14/0.38 inference(resolution,[status(thm)],[f7,f6])).
% 0.14/0.38 fof(f11,plain,(
% 0.14/0.38 ![X0,X1]: (r(X0)|~q(f(X1)))),
% 0.14/0.38 inference(resolution,[status(thm)],[f10,f8])).
% 0.14/0.38 fof(f12,plain,(
% 0.14/0.38 ![X0]: (~p(X0)|~r(sK1_skl)|~q(X0))),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f9,f8])).
% 0.14/0.38 fof(f13,plain,(
% 0.14/0.38 ![X0]: (r(X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f11,f6])).
% 0.14/0.38 fof(f14,plain,(
% 0.14/0.38 ![X0]: (~p(X0)|~q(X0))),
% 0.14/0.38 inference(backward_subsumption_resolution,[status(thm)],[f12,f13])).
% 0.14/0.38 fof(f15,plain,(
% 0.14/0.38 ![X0]: (~q(f(X0)))),
% 0.14/0.38 inference(resolution,[status(thm)],[f14,f10])).
% 0.14/0.38 fof(f17,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(backward_subsumption_resolution,[status(thm)],[f6,f15])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.038158 seconds
% 0.14/0.40 % CPU time: 0.091717 seconds
% 0.14/0.40 % Total memory used: 24.192 MB
% 0.14/0.40 % Net memory used: 23.934 MB
%------------------------------------------------------------------------------