%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV219+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 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 02:50:15 PM UTC 2026
% Result : Theorem 0.16s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV219+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 08:36:59 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.40 % Drodi V4.1.1
% 0.16/0.42 % Refutation found
% 0.16/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.42 fof(f53,conjecture,(
% 0.16/0.42 (! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n5)& leq(B,n5) )=> ( ( ~ ( n0 = A& n5 = B )& ~ ( n0 = B& n5 = A )& ~ ( n1 = A& n5 = B )& ~ ( n1 = B& n5 = A )& ~ ( n2 = A& n5 = B )& ~ ( n2 = B& n5 = A )& ~ ( n3 = A& n5 = B )& ~ ( n3 = B& n5 = A )& ~ ( n4 = A& n4 = B )& ~ ( n4 = A& n5 = B )& ~ ( n4 = B& n5 = A )& ~ ( n5 = A& n5 = B )& n3 = A& n4 = A& n4 = B )=> times(divide(n1,n400),a_select2(sigma,n4)) = n0 ) ) )),
% 0.16/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f54,negated_conjecture,(
% 0.16/0.42 ~((! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n5)& leq(B,n5) )=> ( ( ~ ( n0 = A& n5 = B )& ~ ( n0 = B& n5 = A )& ~ ( n1 = A& n5 = B )& ~ ( n1 = B& n5 = A )& ~ ( n2 = A& n5 = B )& ~ ( n2 = B& n5 = A )& ~ ( n3 = A& n5 = B )& ~ ( n3 = B& n5 = A )& ~ ( n4 = A& n4 = B )& ~ ( n4 = A& n5 = B )& ~ ( n4 = B& n5 = A )& ~ ( n5 = A& n5 = B )& n3 = A& n4 = A& n4 = B )=> times(divide(n1,n400),a_select2(sigma,n4)) = n0 ) ) ))),
% 0.16/0.42 inference(negated_conjecture,[status(cth)],[f53])).
% 0.16/0.42 fof(f251,plain,(
% 0.16/0.42 (?[A,B]: ((((leq(n0,A)&leq(n0,B))&leq(A,n5))&leq(B,n5))&((((((((((((((((~n0=A|~n5=B)&(~n0=B|~n5=A))&(~n1=A|~n5=B))&(~n1=B|~n5=A))&(~n2=A|~n5=B))&(~n2=B|~n5=A))&(~n3=A|~n5=B))&(~n3=B|~n5=A))&(~n4=A|~n4=B))&(~n4=A|~n5=B))&(~n4=B|~n5=A))&(~n5=A|~n5=B))&n3=A)&n4=A)&n4=B)&~times(divide(n1,n400),a_select2(sigma,n4))=n0)))),
% 0.16/0.42 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.16/0.42 fof(f252,plain,(
% 0.16/0.42 ((((leq(n0,sK23_skl)&leq(n0,sK24_skl))&leq(sK23_skl,n5))&leq(sK24_skl,n5))&((((((((((((((((~n0=sK23_skl|~n5=sK24_skl)&(~n0=sK24_skl|~n5=sK23_skl))&(~n1=sK23_skl|~n5=sK24_skl))&(~n1=sK24_skl|~n5=sK23_skl))&(~n2=sK23_skl|~n5=sK24_skl))&(~n2=sK24_skl|~n5=sK23_skl))&(~n3=sK23_skl|~n5=sK24_skl))&(~n3=sK24_skl|~n5=sK23_skl))&(~n4=sK23_skl|~n4=sK24_skl))&(~n4=sK23_skl|~n5=sK24_skl))&(~n4=sK24_skl|~n5=sK23_skl))&(~n5=sK23_skl|~n5=sK24_skl))&n3=sK23_skl)&n4=sK23_skl)&n4=sK24_skl)&~times(divide(n1,n400),a_select2(sigma,n4))=n0))),
% 0.16/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(A,sK23_skl),skolemize(B,sK24_skl)],[f251])).
% 0.16/0.42 fof(f265,plain,(
% 0.16/0.42 ~n4=sK23_skl|~n4=sK24_skl),
% 0.16/0.42 inference(cnf_transformation,[status(thm)],[f252])).
% 0.16/0.42 fof(f270,plain,(
% 0.16/0.42 n4=sK23_skl),
% 0.16/0.42 inference(cnf_transformation,[status(thm)],[f252])).
% 0.16/0.42 fof(f271,plain,(
% 0.16/0.42 n4=sK24_skl),
% 0.16/0.42 inference(cnf_transformation,[status(thm)],[f252])).
% 0.16/0.42 fof(f365,plain,(
% 0.16/0.42 sK23_skl=sK24_skl),
% 0.16/0.42 inference(forward_demodulation,[status(thm)],[f270,f271])).
% 0.16/0.42 fof(f397,plain,(
% 0.16/0.42 ~sK23_skl=sK23_skl|~n4=sK24_skl),
% 0.16/0.42 inference(forward_demodulation,[status(thm)],[f270,f265])).
% 0.16/0.42 fof(f398,plain,(
% 0.16/0.42 ~sK23_skl=sK23_skl|~sK23_skl=sK24_skl),
% 0.16/0.42 inference(forward_demodulation,[status(thm)],[f270,f397])).
% 0.16/0.42 fof(f399,plain,(
% 0.16/0.42 ~sK23_skl=sK23_skl|~sK23_skl=sK23_skl),
% 0.16/0.42 inference(forward_demodulation,[status(thm)],[f365,f398])).
% 0.16/0.42 fof(f400,plain,(
% 0.16/0.42 ~sK23_skl=sK23_skl),
% 0.16/0.42 inference(duplicate_literals_removal,[status(thm)],[f399])).
% 0.16/0.42 fof(f401,plain,(
% 0.16/0.42 $false),
% 0.16/0.42 inference(trivial_equality_resolution,[status(thm)],[f400])).
% 0.16/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.46 % Elapsed time: 0.061645 seconds
% 0.16/0.46 % CPU time: 0.174423 seconds
% 0.16/0.46 % Total memory used: 109.192 MB
% 0.16/0.46 % Net memory used: 109.020 MB
%------------------------------------------------------------------------------