%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN356+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 03:19:28 PM UTC 2026
% Result : Theorem 0.09s 5.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN356+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n020.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 10:52:23 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.09/5.39 % Refutation found
% 0.09/5.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/5.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/5.39 fof(f1,conjecture,(
% 0.09/5.39 ( ( big_r(a,b)& (! [X,Y] :( big_r(X,Y)=> ( big_r(Y,X)& big_q(X,Y) ) ))& (! [U,V] :( big_q(U,V)=> big_q(U,U) ) ))=> ( big_q(a,a)& big_q(b,b) ) ) ),
% 0.09/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f2,negated_conjecture,(
% 0.09/5.39 ~(( ( big_r(a,b)& (! [X,Y] :( big_r(X,Y)=> ( big_r(Y,X)& big_q(X,Y) ) ))& (! [U,V] :( big_q(U,V)=> big_q(U,U) ) ))=> ( big_q(a,a)& big_q(b,b) ) ) )),
% 0.09/5.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/5.39 fof(f3,plain,(
% 0.09/5.39 (((big_r(a,b)&(![X,Y]: (~big_r(X,Y)|(big_r(Y,X)&big_q(X,Y)))))&(![U,V]: (~big_q(U,V)|big_q(U,U))))&(~big_q(a,a)|~big_q(b,b)))),
% 0.09/5.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/5.39 fof(f4,plain,(
% 0.09/5.39 ((big_r(a,b)&(![X,Y]: (~big_r(X,Y)|(big_r(Y,X)&big_q(X,Y)))))&(![U]: ((![V]: ~big_q(U,V))|big_q(U,U))))&(~big_q(a,a)|~big_q(b,b))),
% 0.09/5.39 inference(miniscoping,[status(thm)],[f3])).
% 0.09/5.39 fof(f5,plain,(
% 0.09/5.39 big_r(a,b)),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/5.39 fof(f6,plain,(
% 0.09/5.39 ![X0,X1]: (~big_r(X0,X1)|big_r(X1,X0))),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/5.39 fof(f7,plain,(
% 0.09/5.39 ![X0,X1]: (~big_r(X0,X1)|big_q(X0,X1))),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/5.39 fof(f8,plain,(
% 0.09/5.39 ![X0,X1]: (~big_q(X0,X1)|big_q(X0,X0))),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/5.39 fof(f9,plain,(
% 0.09/5.39 ~big_q(a,a)|~big_q(b,b)),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/5.39 fof(f10,plain,(
% 0.09/5.39 big_r(b,a)),
% 0.09/5.39 inference(resolution,[status(thm)],[f6,f5])).
% 0.09/5.39 fof(f11,plain,(
% 0.09/5.39 big_q(a,b)),
% 0.09/5.39 inference(resolution,[status(thm)],[f7,f5])).
% 0.09/5.39 fof(f12,plain,(
% 0.09/5.39 big_q(b,a)),
% 0.09/5.39 inference(resolution,[status(thm)],[f10,f7])).
% 0.09/5.39 fof(f14,plain,(
% 0.09/5.39 big_q(a,a)),
% 0.09/5.39 inference(resolution,[status(thm)],[f8,f11])).
% 0.09/5.39 fof(f15,plain,(
% 0.09/5.39 big_q(b,b)),
% 0.09/5.39 inference(resolution,[status(thm)],[f12,f8])).
% 0.09/5.39 fof(f16,plain,(
% 0.09/5.39 ~big_q(b,b)),
% 0.09/5.39 inference(backward_subsumption_resolution,[status(thm)],[f9,f14])).
% 0.09/5.39 fof(f19,plain,(
% 0.09/5.39 $false),
% 0.09/5.39 inference(forward_subsumption_resolution,[status(thm)],[f16,f15])).
% 0.09/5.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.41 % Elapsed time: 0.038552 seconds
% 0.13/5.41 % CPU time: 0.110283 seconds
% 0.13/5.41 % Total memory used: 36.289 MB
% 0.13/5.41 % Net memory used: 35.918 MB
%------------------------------------------------------------------------------