%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV046+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 02:49:59 PM UTC 2026
% Result : Theorem 0.19s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV046+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n007.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 08:26:35 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.51 % Drodi V4.1.1
% 0.19/0.58 % Refutation found
% 0.19/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.58 fof(f26,axiom,(
% 0.19/0.58 (! [Body] : sum(n0,tptp_minus_1,Body) = n0 )),
% 0.19/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f28,axiom,(
% 0.19/0.58 succ(tptp_minus_1) = n0 ),
% 0.19/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f39,axiom,(
% 0.19/0.58 (! [X] : minus(X,n1) = pred(X) )),
% 0.19/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f40,axiom,(
% 0.19/0.58 (! [X] : pred(succ(X)) = X )),
% 0.19/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f48,axiom,(
% 0.19/0.58 (! [X,U,VAL] : a_select2(tptp_update2(X,U,VAL),U) = VAL )),
% 0.19/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f51,axiom,(
% 0.19/0.58 true ),
% 0.19/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f53,conjecture,(
% 0.19/0.58 ( ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))& pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))& leq(n0,pv35)& leq(pv35,minus(n5,n1)) )=> ( ( n0 != pv44=> ( n0 = sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))& leq(n0,pv35)& leq(pv35,minus(n5,n1)) ) )& ( n0 = pv44=> true ) ) ) ),
% 0.19/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.58 fof(f54,negated_conjecture,(
% 0.19/0.58 ~(( ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))& pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))& leq(n0,pv35)& leq(pv35,minus(n5,n1)) )=> ( ( n0 != pv44=> ( n0 = sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))& leq(n0,pv35)& leq(pv35,minus(n5,n1)) ) )& ( n0 = pv44=> true ) ) ) )),
% 0.19/0.58 inference(negated_conjecture,[status(cth)],[f53])).
% 0.19/0.58 fof(f204,plain,(
% 0.19/0.58 ![X0]: (sum(n0,tptp_minus_1,X0)=n0)),
% 0.19/0.58 inference(cnf_transformation,[status(thm)],[f26])).
% 0.19/0.58 fof(f206,plain,(
% 0.19/0.58 succ(tptp_minus_1)=n0),
% 0.19/0.58 inference(cnf_transformation,[status(thm)],[f28])).
% 0.19/0.58 fof(f217,plain,(
% 0.19/0.58 ![X0]: (minus(X0,n1)=pred(X0))),
% 0.19/0.58 inference(cnf_transformation,[status(thm)],[f39])).
% 0.19/0.58 fof(f218,plain,(
% 0.19/0.58 ![X0]: (pred(succ(X0))=X0)),
% 0.19/0.58 inference(cnf_transformation,[status(thm)],[f40])).
% 0.19/0.58 fof(f240,plain,(
% 0.19/0.58 ![X0,X1,X2]: (a_select2(tptp_update2(X0,X1,X2),X1)=X2)),
% 0.19/0.58 inference(cnf_transformation,[status(thm)],[f48])).
% 0.19/0.58 fof(f249,plain,(
% 0.19/0.58 true),
% 0.19/0.58 inference(cnf_transformation,[status(thm)],[f51])).
% 0.19/0.58 fof(f251,plain,(
% 0.19/0.58 ((((pv78=sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))&pv80=sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))))&leq(n0,pv35))&leq(pv35,minus(n5,n1)))&((~n0=pv44&(((~n0=sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))|~pv78=sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)))|~leq(n0,pv35))|~leq(pv35,minus(n5,n1))))|(n0=pv44&~true)))),
% 0.19/0.58 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.19/0.58 fof(f252,definition,(
% 0.19/0.58 sP3_prd<=>(~n0=pv44&(((~n0=sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))|~pv78=sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)))|~leq(n0,pv35))|~leq(pv35,minus(n5,n1))))),
% 0.19/0.58 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.19/0.58 fof(f253,plain,(
% 0.19/0.58 (((pv78=sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))&pv80=sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))))&leq(n0,pv35))&leq(pv35,minus(n5,n1)))&(sP3_prd|(n0=pv44&~true))),
% 0.19/0.58 inference(formula_renaming,[status(thm)],[f251,f252])).
% 0.19/0.58 fof(f254,plain,(
% 0.19/0.58 pv78=sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))),
% 0.19/0.58 inference(cnf_transformation,[status(thm)],[f253])).
% 0.19/0.58 fof(f256,plain,(
% 0.19/0.58 leq(n0,pv35)),
% 0.19/0.58 inference(cnf_transformation,[status(thm)],[f253])).
% 0.19/0.58 fof(f257,plain,(
% 0.19/0.58 leq(pv35,minus(n5,n1))),
% 0.19/0.58 inference(cnf_transformation,[status(thm)],[f253])).
% 0.19/0.58 fof(f259,plain,(
% 0.19/0.58 sP3_prd|~true),
% 0.19/0.58 inference(cnf_transformation,[status(thm)],[f253])).
% 0.19/0.58 fof(f333,plain,(
% 0.19/0.58 (~sP3_prd|(~n0=pv44&(((~n0=sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))|~pv78=sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)))|~leq(n0,pv35))|~leq(pv35,minus(n5,n1)))))&(sP3_prd|(n0=pv44|(((n0=sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))&pv78=sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)))&leq(n0,pv35))&leq(pv35,minus(n5,n1)))))),
% 0.19/0.58 inference(NNF_transformation,[status(thm)],[f252])).
% 0.19/0.58 fof(f335,plain,(
% 0.19/0.58 ~sP3_prd|~n0=sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))|~pv78=sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))|~leq(n0,pv35)|~leq(pv35,minus(n5,n1))),
% 0.19/0.58 inference(cnf_transformation,[status(thm)],[f333])).
% 0.19/0.58 fof(f357,plain,(
% 0.19/0.58 pv78=sum(n0,pred(n135300),a_select3(q,pv79,pv35))),
% 0.19/0.58 inference(forward_demodulation,[status(thm)],[f217,f254])).
% 0.19/0.58 fof(f359,plain,(
% 0.19/0.58 leq(pv35,pred(n5))),
% 0.19/0.58 inference(forward_demodulation,[status(thm)],[f217,f257])).
% 0.19/0.58 fof(f360,plain,(
% 0.19/0.58 sP3_prd),
% 0.19/0.58 inference(forward_subsumption_resolution,[status(thm)],[f259,f249])).
% 0.19/0.58 fof(f369,plain,(
% 0.19/0.58 ~sP3_prd|~n0=sum(n0,pred(n0),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))|~pv78=sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))|~leq(n0,pv35)|~leq(pv35,minus(n5,n1))),
% 0.19/0.58 inference(forward_demodulation,[status(thm)],[f217,f335])).
% 0.19/0.58 fof(f370,plain,(
% 0.19/0.58 ~sP3_prd|~n0=sum(n0,pred(n0),times(minus(a_select2(x,pv83),divide(pv80,pv44)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))|~pv78=sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))|~leq(n0,pv35)|~leq(pv35,minus(n5,n1))),
% 0.19/0.58 inference(forward_demodulation,[status(thm)],[f240,f369])).
% 0.19/0.58 fof(f371,plain,(
% 0.19/0.58 ~sP3_prd|~n0=sum(n0,pred(n0),times(minus(a_select2(x,pv83),divide(pv80,pv44)),times(minus(a_select2(x,pv83),divide(pv80,pv44)),a_select3(q,pv83,pv35))))|~pv78=sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))|~leq(n0,pv35)|~leq(pv35,minus(n5,n1))),
% 0.19/0.58 inference(forward_demodulation,[status(thm)],[f240,f370])).
% 0.19/0.58 fof(f372,plain,(
% 0.19/0.58 ~sP3_prd|~n0=sum(n0,pred(n0),times(minus(a_select2(x,pv83),divide(pv80,pv44)),times(minus(a_select2(x,pv83),divide(pv80,pv44)),a_select3(q,pv83,pv35))))|~pv78=sum(n0,pred(n135300),a_select3(q,pv79,pv35))|~leq(n0,pv35)|~leq(pv35,minus(n5,n1))),
% 0.19/0.58 inference(forward_demodulation,[status(thm)],[f217,f371])).
% 0.19/0.58 fof(f373,plain,(
% 0.19/0.58 ~sP3_prd|~n0=sum(n0,pred(n0),times(minus(a_select2(x,pv83),divide(pv80,pv44)),times(minus(a_select2(x,pv83),divide(pv80,pv44)),a_select3(q,pv83,pv35))))|~pv78=pv78|~leq(n0,pv35)|~leq(pv35,minus(n5,n1))),
% 0.19/0.58 inference(forward_demodulation,[status(thm)],[f357,f372])).
% 0.19/0.58 fof(f374,plain,(
% 0.19/0.58 ~sP3_prd|~n0=sum(n0,pred(n0),times(minus(a_select2(x,pv83),divide(pv80,pv44)),times(minus(a_select2(x,pv83),divide(pv80,pv44)),a_select3(q,pv83,pv35))))|~pv78=pv78|~leq(n0,pv35)|~leq(pv35,pred(n5))),
% 0.19/0.58 inference(forward_demodulation,[status(thm)],[f217,f373])).
% 0.19/0.58 fof(f375,plain,(
% 0.19/0.58 ~sP3_prd|~n0=sum(n0,pred(n0),times(minus(a_select2(x,pv83),divide(pv80,pv44)),times(minus(a_select2(x,pv83),divide(pv80,pv44)),a_select3(q,pv83,pv35))))|~leq(n0,pv35)|~leq(pv35,pred(n5))),
% 0.19/0.58 inference(trivial_equality_resolution,[status(thm)],[f374])).
% 0.19/0.58 fof(f376,plain,(
% 0.19/0.58 ~n0=sum(n0,pred(n0),times(minus(a_select2(x,pv83),divide(pv80,pv44)),times(minus(a_select2(x,pv83),divide(pv80,pv44)),a_select3(q,pv83,pv35))))|~leq(n0,pv35)|~leq(pv35,pred(n5))),
% 0.19/0.58 inference(forward_subsumption_resolution,[status(thm)],[f375,f360])).
% 0.19/0.58 fof(f383,plain,(
% 0.19/0.58 pred(n0)=tptp_minus_1),
% 0.19/0.58 inference(paramodulation,[status(thm)],[f206,f218])).
% 0.19/0.58 fof(f384,plain,(
% 0.19/0.58 ~n0=sum(n0,tptp_minus_1,times(minus(a_select2(x,pv83),divide(pv80,pv44)),times(minus(a_select2(x,pv83),divide(pv80,pv44)),a_select3(q,pv83,pv35))))|~leq(n0,pv35)|~leq(pv35,pred(n5))),
% 0.19/0.58 inference(backward_demodulation,[status(thm)],[f383,f376])).
% 0.19/0.58 fof(f385,plain,(
% 0.19/0.58 ~n0=n0|~leq(n0,pv35)|~leq(pv35,pred(n5))),
% 0.19/0.58 inference(forward_demodulation,[status(thm)],[f204,f384])).
% 0.19/0.58 fof(f386,plain,(
% 0.19/0.58 ~leq(n0,pv35)|~leq(pv35,pred(n5))),
% 0.19/0.58 inference(trivial_equality_resolution,[status(thm)],[f385])).
% 0.19/0.58 fof(f388,plain,(
% 0.19/0.58 ~leq(pv35,pred(n5))),
% 0.19/0.58 inference(forward_subsumption_resolution,[status(thm)],[f386,f256])).
% 0.19/0.58 fof(f389,plain,(
% 0.19/0.58 $false),
% 0.19/0.58 inference(backward_subsumption_resolution,[status(thm)],[f359,f388])).
% 0.19/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.62 % Elapsed time: 0.149031 seconds
% 0.19/0.62 % CPU time: 0.520195 seconds
% 0.19/0.62 % Total memory used: 71.888 MB
% 0.19/0.62 % Net memory used: 71.338 MB
%------------------------------------------------------------------------------