%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN050+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 : 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 03:18:48 PM UTC 2026
% Result : Theorem 0.09s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN050+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
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 10:42:28 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f1,conjecture,(
% 0.09/0.37 ( (! [X,Y] :(? [Z] :(! [W] :( ( big_p(X)& big_q(Y) )=> ( big_r(Z)& big_s(W) ) ))))=> (? [X1,Y1] :( ( big_p(X1)& big_q(Y1) )=> (? [Z1] : big_r(Z1) )) )) ),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f2,negated_conjecture,(
% 0.09/0.37 ~(( (! [X,Y] :(? [Z] :(! [W] :( ( big_p(X)& big_q(Y) )=> ( big_r(Z)& big_s(W) ) ))))=> (? [X1,Y1] :( ( big_p(X1)& big_q(Y1) )=> (? [Z1] : big_r(Z1) )) )) )),
% 0.09/0.37 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.37 fof(f3,plain,(
% 0.09/0.37 ((![X,Y]: ?[Z]: ![W]: ((~big_p(X)|~big_q(Y))|(big_r(Z)&big_s(W))))&(![X1,Y1]: ((big_p(X1)&big_q(Y1))&(![Z1]: ~big_r(Z1)))))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.37 fof(f4,plain,(
% 0.09/0.37 (((![X]: ~big_p(X))|(![Y]: ~big_q(Y)))|((?[Z]: big_r(Z))&(![W]: big_s(W))))&(((![X1]: big_p(X1))&(![Y1]: big_q(Y1)))&(![Z1]: ~big_r(Z1)))),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f3])).
% 0.09/0.37 fof(f5,plain,(
% 0.09/0.37 (((![X]: ~big_p(X))|(![Y]: ~big_q(Y)))|(big_r(sK0_skl)&(![W]: big_s(W))))&(((![X1]: big_p(X1))&(![Y1]: big_q(Y1)))&(![Z1]: ~big_r(Z1)))),
% 0.09/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Z,sK0_skl)],[f4])).
% 0.09/0.37 fof(f6,plain,(
% 0.09/0.37 ![X0,X1]: (~big_p(X0)|~big_q(X1)|big_r(sK0_skl))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.37 fof(f8,plain,(
% 0.09/0.37 ![X0]: (big_p(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.37 fof(f9,plain,(
% 0.09/0.37 ![X0]: (big_q(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.37 fof(f10,plain,(
% 0.09/0.37 ![X0]: (~big_r(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.37 fof(f12,plain,(
% 0.09/0.37 ![X0]: (~big_q(X0)|big_r(sK0_skl))),
% 0.09/0.37 inference(backward_subsumption_resolution,[status(thm)],[f6,f8])).
% 0.09/0.37 fof(f14,plain,(
% 0.09/0.37 big_r(sK0_skl)),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f12,f9])).
% 0.09/0.37 fof(f15,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(resolution,[status(thm)],[f14,f10])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.040350 seconds
% 0.13/0.41 % CPU time: 0.088893 seconds
% 0.13/0.41 % Total memory used: 25.919 MB
% 0.13/0.41 % Net memory used: 25.636 MB
%------------------------------------------------------------------------------