%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV078+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 : n007.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 02:50:02 PM UTC 2026
% Result : Theorem 0.14s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV078+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
% 0.09/5.36 % Computer : n007.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 08:27:41 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.14/5.41 % Refutation found
% 0.14/5.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.41 fof(f51,axiom,(
% 0.14/5.41 true ),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f53,conjecture,(
% 0.14/5.41 ( ( leq(n0,pv31)& leq(pv31,minus(n5,n1)) )=> ( ( n0 != pv70=> ( leq(n0,pv31)& leq(pv31,minus(n5,n1)) ) )& ( n0 = pv70=> true ) ) ) ),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f54,negated_conjecture,(
% 0.14/5.41 ~(( ( leq(n0,pv31)& leq(pv31,minus(n5,n1)) )=> ( ( n0 != pv70=> ( leq(n0,pv31)& leq(pv31,minus(n5,n1)) ) )& ( n0 = pv70=> true ) ) ) )),
% 0.14/5.41 inference(negated_conjecture,[status(cth)],[f53])).
% 0.14/5.41 fof(f242,plain,(
% 0.14/5.41 true),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f51])).
% 0.14/5.41 fof(f244,plain,(
% 0.14/5.41 ((leq(n0,pv31)&leq(pv31,minus(n5,n1)))&((~n0=pv70&(~leq(n0,pv31)|~leq(pv31,minus(n5,n1))))|(n0=pv70&~true)))),
% 0.14/5.41 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.14/5.41 fof(f245,definition,(
% 0.14/5.41 sP3_prd<=>(~n0=pv70&(~leq(n0,pv31)|~leq(pv31,minus(n5,n1))))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.14/5.41 fof(f246,plain,(
% 0.14/5.41 (leq(n0,pv31)&leq(pv31,minus(n5,n1)))&(sP3_prd|(n0=pv70&~true))),
% 0.14/5.41 inference(formula_renaming,[status(thm)],[f244,f245])).
% 0.14/5.41 fof(f247,plain,(
% 0.14/5.41 leq(n0,pv31)),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f246])).
% 0.14/5.41 fof(f248,plain,(
% 0.14/5.41 leq(pv31,minus(n5,n1))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f246])).
% 0.14/5.41 fof(f250,plain,(
% 0.14/5.41 sP3_prd|~true),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f246])).
% 0.14/5.41 fof(f317,plain,(
% 0.14/5.41 (~sP3_prd|(~n0=pv70&(~leq(n0,pv31)|~leq(pv31,minus(n5,n1)))))&(sP3_prd|(n0=pv70|(leq(n0,pv31)&leq(pv31,minus(n5,n1)))))),
% 0.14/5.41 inference(NNF_transformation,[status(thm)],[f245])).
% 0.14/5.41 fof(f319,plain,(
% 0.14/5.41 ~sP3_prd|~leq(n0,pv31)|~leq(pv31,minus(n5,n1))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f317])).
% 0.14/5.41 fof(f330,definition,(
% 0.14/5.41 sQ0_spl <=> (sP3_prd)),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f337,definition,(
% 0.14/5.41 sQ2_spl <=> (true)),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f339,plain,(
% 0.14/5.41 ~true|sQ2_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f337])).
% 0.14/5.41 fof(f340,plain,(
% 0.14/5.41 sQ0_spl|~sQ2_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f250,f330,f337])).
% 0.14/5.41 fof(f342,definition,(
% 0.14/5.41 sQ3_spl <=> (leq(n0,pv31))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f344,plain,(
% 0.14/5.41 ~leq(n0,pv31)|sQ3_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f342])).
% 0.14/5.41 fof(f345,definition,(
% 0.14/5.41 sQ4_spl <=> (leq(pv31,minus(n5,n1)))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f347,plain,(
% 0.14/5.41 ~leq(pv31,minus(n5,n1))|sQ4_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f345])).
% 0.14/5.41 fof(f348,plain,(
% 0.14/5.41 ~sQ0_spl|~sQ3_spl|~sQ4_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f319,f330,f342,f345])).
% 0.14/5.41 fof(f353,plain,(
% 0.14/5.41 $false|sQ2_spl),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f242,f339])).
% 0.14/5.41 fof(f354,plain,(
% 0.14/5.41 sQ2_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f353])).
% 0.14/5.41 fof(f355,plain,(
% 0.14/5.41 $false|sQ3_spl),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f344,f247])).
% 0.14/5.41 fof(f356,plain,(
% 0.14/5.41 sQ3_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f355])).
% 0.14/5.41 fof(f357,plain,(
% 0.14/5.41 $false|sQ4_spl),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f347,f248])).
% 0.14/5.41 fof(f358,plain,(
% 0.14/5.41 sQ4_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f357])).
% 0.14/5.41 fof(f359,plain,(
% 0.14/5.41 $false),
% 0.14/5.41 inference(sat_refutation,[status(thm)],[f340,f348,f354,f356,f358])).
% 0.14/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.43 % Elapsed time: 0.059866 seconds
% 0.14/5.43 % CPU time: 0.168908 seconds
% 0.14/5.43 % Total memory used: 108.489 MB
% 0.14/5.43 % Net memory used: 108.301 MB
%------------------------------------------------------------------------------