%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV220+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 : n017.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 0.18s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV220+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n017.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 08:30:27 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.48 % Refutation found
% 0.18/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.48 fof(f53,conjecture,(
% 0.18/0.48 (! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n5)& leq(B,n5) )=> ( ( ~ ( n0 = B& n4 = A )& ~ ( n0 = B& n5 = A )& ~ ( n1 = B& n4 = A )& ~ ( n1 = B& n5 = A )& ~ ( n2 = A& n5 = B )& ~ ( n2 = B& n4 = A )& ~ ( n2 = B& n5 = A )& ~ ( 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 )& n1 = A& n3 = A& n3 = B& n5 = B )=> times(divide(n1,n400),a_select2(sigma,n3)) = n0 ) ) )),
% 0.18/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f54,negated_conjecture,(
% 0.18/0.48 ~((! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n5)& leq(B,n5) )=> ( ( ~ ( n0 = B& n4 = A )& ~ ( n0 = B& n5 = A )& ~ ( n1 = B& n4 = A )& ~ ( n1 = B& n5 = A )& ~ ( n2 = A& n5 = B )& ~ ( n2 = B& n4 = A )& ~ ( n2 = B& n5 = A )& ~ ( 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 )& n1 = A& n3 = A& n3 = B& n5 = B )=> times(divide(n1,n400),a_select2(sigma,n3)) = n0 ) ) ))),
% 0.18/0.48 inference(negated_conjecture,[status(cth)],[f53])).
% 0.18/0.48 fof(f251,plain,(
% 0.18/0.48 (?[A,B]: ((((leq(n0,A)&leq(n0,B))&leq(A,n5))&leq(B,n5))&((((((((((((((((((((~n0=B|~n4=A)&(~n0=B|~n5=A))&(~n1=B|~n4=A))&(~n1=B|~n5=A))&(~n2=A|~n5=B))&(~n2=B|~n4=A))&(~n2=B|~n5=A))&(~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))&n1=A)&n3=A)&n3=B)&n5=B)&~times(divide(n1,n400),a_select2(sigma,n3))=n0)))),
% 0.18/0.48 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.18/0.48 fof(f252,plain,(
% 0.18/0.48 ((((leq(n0,sK23_skl)&leq(n0,sK24_skl))&leq(sK23_skl,n5))&leq(sK24_skl,n5))&((((((((((((((((((((~n0=sK24_skl|~n4=sK23_skl)&(~n0=sK24_skl|~n5=sK23_skl))&(~n1=sK24_skl|~n4=sK23_skl))&(~n1=sK24_skl|~n5=sK23_skl))&(~n2=sK23_skl|~n5=sK24_skl))&(~n2=sK24_skl|~n4=sK23_skl))&(~n2=sK24_skl|~n5=sK23_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))&n1=sK23_skl)&n3=sK23_skl)&n3=sK24_skl)&n5=sK24_skl)&~times(divide(n1,n400),a_select2(sigma,n3))=n0))),
% 0.18/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(A,sK23_skl),skolemize(B,sK24_skl)],[f251])).
% 0.18/0.48 fof(f271,plain,(
% 0.18/0.48 ~n5=sK23_skl|~n5=sK24_skl),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f252])).
% 0.18/0.48 fof(f273,plain,(
% 0.18/0.48 n3=sK23_skl),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f252])).
% 0.18/0.48 fof(f274,plain,(
% 0.18/0.48 n3=sK24_skl),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f252])).
% 0.18/0.48 fof(f275,plain,(
% 0.18/0.48 n5=sK24_skl),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f252])).
% 0.18/0.48 fof(f365,definition,(
% 0.18/0.48 sQ2_spl <=> (n5=sK23_skl)),
% 0.18/0.48 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.18/0.48 fof(f367,plain,(
% 0.18/0.48 ~n5=sK23_skl|sQ2_spl),
% 0.18/0.48 inference(component_clause,[status(thm)],[f365])).
% 0.18/0.48 fof(f377,definition,(
% 0.18/0.48 sQ5_spl <=> (n5=sK24_skl)),
% 0.18/0.48 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.18/0.48 fof(f379,plain,(
% 0.18/0.48 ~n5=sK24_skl|sQ5_spl),
% 0.18/0.48 inference(component_clause,[status(thm)],[f377])).
% 0.18/0.48 fof(f402,plain,(
% 0.18/0.48 ~sQ2_spl|~sQ5_spl),
% 0.18/0.48 inference(split_clause,[status(thm)],[f271,f365,f377])).
% 0.18/0.48 fof(f405,plain,(
% 0.18/0.48 sK24_skl=sK23_skl),
% 0.18/0.48 inference(backward_demodulation,[status(thm)],[f274,f273])).
% 0.18/0.48 fof(f406,plain,(
% 0.18/0.48 ~sK24_skl=sK23_skl|sQ2_spl),
% 0.18/0.48 inference(forward_demodulation,[status(thm)],[f275,f367])).
% 0.18/0.48 fof(f407,plain,(
% 0.18/0.48 ~sK24_skl=sK24_skl|sQ5_spl),
% 0.18/0.48 inference(forward_demodulation,[status(thm)],[f275,f379])).
% 0.18/0.48 fof(f408,plain,(
% 0.18/0.48 $false|sQ5_spl),
% 0.18/0.48 inference(trivial_equality_resolution,[status(thm)],[f407])).
% 0.18/0.48 fof(f409,plain,(
% 0.18/0.48 sQ5_spl),
% 0.18/0.48 inference(contradiction_clause,[status(thm)],[f408])).
% 0.18/0.48 fof(f411,plain,(
% 0.18/0.48 $false|sQ2_spl),
% 0.18/0.48 inference(forward_subsumption_resolution,[status(thm)],[f405,f406])).
% 0.18/0.48 fof(f412,plain,(
% 0.18/0.48 sQ2_spl),
% 0.18/0.48 inference(contradiction_clause,[status(thm)],[f411])).
% 0.18/0.49 fof(f413,plain,(
% 0.18/0.49 $false),
% 0.18/0.49 inference(sat_refutation,[status(thm)],[f402,f409,f412])).
% 0.18/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.51 % Elapsed time: 0.065379 seconds
% 0.18/0.51 % CPU time: 0.150416 seconds
% 0.18/0.51 % Total memory used: 41.109 MB
% 0.18/0.51 % Net memory used: 41.028 MB
%------------------------------------------------------------------------------