%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV056+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 : n013.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 02:50:00 PM UTC 2026
% Result : Theorem 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV056+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:28:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f26,axiom,(
% 0.13/0.41 (! [Body] : sum(n0,tptp_minus_1,Body) = n0 )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f28,axiom,(
% 0.13/0.41 succ(tptp_minus_1) = n0 ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f39,axiom,(
% 0.13/0.41 (! [X] : minus(X,n1) = pred(X) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f40,axiom,(
% 0.13/0.41 (! [X] : pred(succ(X)) = X )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f53,conjecture,(
% 0.13/0.41 ( ( leq(n0,pv25)& leq(pv25,minus(n5,n1)) )=> ( n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))& leq(n0,pv25)& leq(pv25,minus(n5,n1)) ) ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f54,negated_conjecture,(
% 0.13/0.41 ~(( ( leq(n0,pv25)& leq(pv25,minus(n5,n1)) )=> ( n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))& leq(n0,pv25)& leq(pv25,minus(n5,n1)) ) ) )),
% 0.13/0.41 inference(negated_conjecture,[status(cth)],[f53])).
% 0.13/0.41 fof(f197,plain,(
% 0.13/0.41 ![X0]: (sum(n0,tptp_minus_1,X0)=n0)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.41 fof(f199,plain,(
% 0.13/0.41 succ(tptp_minus_1)=n0),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.41 fof(f210,plain,(
% 0.13/0.41 ![X0]: (minus(X0,n1)=pred(X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f39])).
% 0.13/0.41 fof(f211,plain,(
% 0.13/0.41 ![X0]: (pred(succ(X0))=X0)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.41 fof(f244,plain,(
% 0.13/0.41 ((leq(n0,pv25)&leq(pv25,minus(n5,n1)))&((~n0=sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))|~leq(n0,pv25))|~leq(pv25,minus(n5,n1))))),
% 0.13/0.41 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.13/0.41 fof(f245,plain,(
% 0.13/0.41 leq(n0,pv25)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f244])).
% 0.13/0.41 fof(f246,plain,(
% 0.13/0.41 leq(pv25,minus(n5,n1))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f244])).
% 0.13/0.41 fof(f247,plain,(
% 0.13/0.41 ~n0=sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))|~leq(n0,pv25)|~leq(pv25,minus(n5,n1))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f244])).
% 0.13/0.41 fof(f322,definition,(
% 0.13/0.41 sQ0_spl <=> (n0=sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f324,plain,(
% 0.13/0.41 ~n0=sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))|sQ0_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f322])).
% 0.13/0.41 fof(f325,definition,(
% 0.13/0.41 sQ1_spl <=> (leq(n0,pv25))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f327,plain,(
% 0.13/0.41 ~leq(n0,pv25)|sQ1_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f325])).
% 0.13/0.41 fof(f328,definition,(
% 0.13/0.41 sQ2_spl <=> (leq(pv25,minus(n5,n1)))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f330,plain,(
% 0.13/0.41 ~leq(pv25,minus(n5,n1))|sQ2_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f328])).
% 0.13/0.41 fof(f331,plain,(
% 0.13/0.41 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f247,f322,f325,f328])).
% 0.13/0.41 fof(f345,plain,(
% 0.13/0.41 $false|sQ2_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f330,f246])).
% 0.13/0.41 fof(f346,plain,(
% 0.13/0.41 sQ2_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f345])).
% 0.13/0.41 fof(f349,plain,(
% 0.13/0.41 ~n0=sum(n0,pred(n0),a_select3(q,pv77,pv25))|sQ0_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f210,f324])).
% 0.13/0.41 fof(f361,plain,(
% 0.13/0.41 pred(n0)=tptp_minus_1),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f199,f211])).
% 0.13/0.41 fof(f780,plain,(
% 0.13/0.41 ~n0=sum(n0,tptp_minus_1,a_select3(q,pv77,pv25))|sQ0_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f361,f349])).
% 0.13/0.41 fof(f784,plain,(
% 0.13/0.41 ~n0=n0|sQ0_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f197,f780])).
% 0.13/0.41 fof(f785,plain,(
% 0.13/0.41 $false|sQ0_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f784])).
% 0.13/0.41 fof(f786,plain,(
% 0.13/0.41 sQ0_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f785])).
% 0.13/0.41 fof(f787,plain,(
% 0.13/0.41 $false|sQ1_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f327,f245])).
% 0.13/0.41 fof(f788,plain,(
% 0.13/0.41 sQ1_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f787])).
% 0.13/0.41 fof(f789,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(sat_refutation,[status(thm)],[f331,f346,f786,f788])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.083841 seconds
% 0.13/0.44 % CPU time: 0.371814 seconds
% 0.13/0.44 % Total memory used: 111.138 MB
% 0.13/0.44 % Net memory used: 110.619 MB
%------------------------------------------------------------------------------