%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV212+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 02:50:14 PM UTC 2026
% Result : Theorem 0.11s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV212+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n010.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 08:34:40 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 0.11/0.37 % Refutation found
% 0.11/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.37 fof(f53,conjecture,(
% 0.11/0.37 (! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n5)& leq(B,n5) )=> ( ( ~ ( n0 = A& n1 = B )& ~ ( n0 = A& n2 = B )& ~ ( n0 = A& n3 = B )& ~ ( n0 = A& n4 = B )& ~ ( n0 = A& n5 = B )& ~ ( n0 = B& n1 = A )& ~ ( n0 = B& n2 = A )& ~ ( n0 = B& n3 = A )& ~ ( n0 = B& n4 = A )& ~ ( n0 = B& n5 = A )& ~ ( n1 = A& n1 = B )& ~ ( n1 = A& n2 = B )& ~ ( n1 = A& n3 = B )& ~ ( n1 = A& n4 = B )& ~ ( n1 = A& n5 = B )& ~ ( n1 = B& n2 = A )& ~ ( n1 = B& n3 = A )& ~ ( n1 = B& n4 = A )& ~ ( n1 = B& n5 = A )& ~ ( n2 = A& n2 = B )& ~ ( n2 = A& n3 = B )& ~ ( n2 = A& n4 = B )& ~ ( n2 = A& n5 = B )& ~ ( n2 = B& n3 = A )& ~ ( n2 = B& n4 = A )& ~ ( n2 = B& n5 = A )& ~ ( n3 = A& n3 = B )& ~ ( n3 = A& n4 = B )& ~ ( n3 = A& n5 = B )& ~ ( n3 = B& n4 = A )& ~ ( n3 = B& n5 = A )& ~ ( n4 = A& n4 = B )& ~ ( n4 = A& n5 = B )& ~ ( n4 = B& n5 = A )& ~ ( n5 = A& n5 = B )& n0 = A& n0 = B& n3 = A )=> n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ) )),
% 0.11/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f54,negated_conjecture,(
% 0.11/0.37 ~((! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n5)& leq(B,n5) )=> ( ( ~ ( n0 = A& n1 = B )& ~ ( n0 = A& n2 = B )& ~ ( n0 = A& n3 = B )& ~ ( n0 = A& n4 = B )& ~ ( n0 = A& n5 = B )& ~ ( n0 = B& n1 = A )& ~ ( n0 = B& n2 = A )& ~ ( n0 = B& n3 = A )& ~ ( n0 = B& n4 = A )& ~ ( n0 = B& n5 = A )& ~ ( n1 = A& n1 = B )& ~ ( n1 = A& n2 = B )& ~ ( n1 = A& n3 = B )& ~ ( n1 = A& n4 = B )& ~ ( n1 = A& n5 = B )& ~ ( n1 = B& n2 = A )& ~ ( n1 = B& n3 = A )& ~ ( n1 = B& n4 = A )& ~ ( n1 = B& n5 = A )& ~ ( n2 = A& n2 = B )& ~ ( n2 = A& n3 = B )& ~ ( n2 = A& n4 = B )& ~ ( n2 = A& n5 = B )& ~ ( n2 = B& n3 = A )& ~ ( n2 = B& n4 = A )& ~ ( n2 = B& n5 = A )& ~ ( n3 = A& n3 = B )& ~ ( n3 = A& n4 = B )& ~ ( n3 = A& n5 = B )& ~ ( n3 = B& n4 = A )& ~ ( n3 = B& n5 = A )& ~ ( n4 = A& n4 = B )& ~ ( n4 = A& n5 = B )& ~ ( n4 = B& n5 = A )& ~ ( n5 = A& n5 = B )& n0 = A& n0 = B& n3 = A )=> n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ) ))),
% 0.11/0.37 inference(negated_conjecture,[status(cth)],[f53])).
% 0.11/0.37 fof(f251,plain,(
% 0.11/0.37 (?[A,B]: ((((leq(n0,A)&leq(n0,B))&leq(A,n5))&leq(B,n5))&(((((((((((((((((((((((((((((((((((((((~n0=A|~n1=B)&(~n0=A|~n2=B))&(~n0=A|~n3=B))&(~n0=A|~n4=B))&(~n0=A|~n5=B))&(~n0=B|~n1=A))&(~n0=B|~n2=A))&(~n0=B|~n3=A))&(~n0=B|~n4=A))&(~n0=B|~n5=A))&(~n1=A|~n1=B))&(~n1=A|~n2=B))&(~n1=A|~n3=B))&(~n1=A|~n4=B))&(~n1=A|~n5=B))&(~n1=B|~n2=A))&(~n1=B|~n3=A))&(~n1=B|~n4=A))&(~n1=B|~n5=A))&(~n2=A|~n2=B))&(~n2=A|~n3=B))&(~n2=A|~n4=B))&(~n2=A|~n5=B))&(~n2=B|~n3=A))&(~n2=B|~n4=A))&(~n2=B|~n5=A))&(~n3=A|~n3=B))&(~n3=A|~n4=B))&(~n3=A|~n5=B))&(~n3=B|~n4=A))&(~n3=B|~n5=A))&(~n4=A|~n4=B))&(~n4=A|~n5=B))&(~n4=B|~n5=A))&(~n5=A|~n5=B))&n0=A)&n0=B)&n3=A)&~n0=times(divide(n1,n400),a_select2(sigma,n0)))))),
% 0.11/0.37 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.11/0.37 fof(f252,plain,(
% 0.11/0.37 ((((leq(n0,sK23_skl)&leq(n0,sK24_skl))&leq(sK23_skl,n5))&leq(sK24_skl,n5))&(((((((((((((((((((((((((((((((((((((((~n0=sK23_skl|~n1=sK24_skl)&(~n0=sK23_skl|~n2=sK24_skl))&(~n0=sK23_skl|~n3=sK24_skl))&(~n0=sK23_skl|~n4=sK24_skl))&(~n0=sK23_skl|~n5=sK24_skl))&(~n0=sK24_skl|~n1=sK23_skl))&(~n0=sK24_skl|~n2=sK23_skl))&(~n0=sK24_skl|~n3=sK23_skl))&(~n0=sK24_skl|~n4=sK23_skl))&(~n0=sK24_skl|~n5=sK23_skl))&(~n1=sK23_skl|~n1=sK24_skl))&(~n1=sK23_skl|~n2=sK24_skl))&(~n1=sK23_skl|~n3=sK24_skl))&(~n1=sK23_skl|~n4=sK24_skl))&(~n1=sK23_skl|~n5=sK24_skl))&(~n1=sK24_skl|~n2=sK23_skl))&(~n1=sK24_skl|~n3=sK23_skl))&(~n1=sK24_skl|~n4=sK23_skl))&(~n1=sK24_skl|~n5=sK23_skl))&(~n2=sK23_skl|~n2=sK24_skl))&(~n2=sK23_skl|~n3=sK24_skl))&(~n2=sK23_skl|~n4=sK24_skl))&(~n2=sK23_skl|~n5=sK24_skl))&(~n2=sK24_skl|~n3=sK23_skl))&(~n2=sK24_skl|~n4=sK23_skl))&(~n2=sK24_skl|~n5=sK23_skl))&(~n3=sK23_skl|~n3=sK24_skl))&(~n3=sK23_skl|~n4=sK24_skl))&(~n3=sK23_skl|~n5=sK24_skl))&(~n3=sK24_skl|~n4=sK23_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))&n0=sK23_skl)&n0=sK24_skl)&n3=sK23_skl)&~n0=times(divide(n1,n400),a_select2(sigma,n0))))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(A,sK23_skl),skolemize(B,sK24_skl)],[f251])).
% 0.11/0.38 fof(f264,plain,(
% 0.11/0.38 ~n0=sK24_skl|~n3=sK23_skl),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f252])).
% 0.11/0.38 fof(f293,plain,(
% 0.11/0.38 n0=sK24_skl),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f252])).
% 0.11/0.38 fof(f294,plain,(
% 0.11/0.38 n3=sK23_skl),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f252])).
% 0.11/0.38 fof(f400,definition,(
% 0.11/0.38 sQ6_spl <=> (n0=sK24_skl)),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f402,plain,(
% 0.11/0.38 ~n0=sK24_skl|sQ6_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f400])).
% 0.11/0.38 fof(f411,definition,(
% 0.11/0.38 sQ9_spl <=> (n3=sK23_skl)),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f413,plain,(
% 0.11/0.38 ~n3=sK23_skl|sQ9_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f411])).
% 0.11/0.38 fof(f414,plain,(
% 0.11/0.38 ~sQ6_spl|~sQ9_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f264,f400,f411])).
% 0.11/0.38 fof(f452,plain,(
% 0.11/0.38 ~sK23_skl=sK23_skl|sQ9_spl),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f294,f413])).
% 0.11/0.38 fof(f453,plain,(
% 0.11/0.38 $false|sQ9_spl),
% 0.11/0.38 inference(trivial_equality_resolution,[status(thm)],[f452])).
% 0.11/0.38 fof(f454,plain,(
% 0.11/0.38 sQ9_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f453])).
% 0.11/0.38 fof(f455,plain,(
% 0.11/0.38 ~sK24_skl=sK24_skl|sQ6_spl),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f293,f402])).
% 0.11/0.38 fof(f456,plain,(
% 0.11/0.38 $false|sQ6_spl),
% 0.11/0.38 inference(trivial_equality_resolution,[status(thm)],[f455])).
% 0.11/0.38 fof(f457,plain,(
% 0.11/0.38 sQ6_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f456])).
% 0.11/0.38 fof(f458,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(sat_refutation,[status(thm)],[f414,f454,f457])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.057051 seconds
% 0.11/0.42 % CPU time: 0.174264 seconds
% 0.11/0.42 % Total memory used: 110.455 MB
% 0.11/0.42 % Net memory used: 110.266 MB
%------------------------------------------------------------------------------