%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV151+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 : n019.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 02:50:09 PM UTC 2026
% Result : Theorem 0.10s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV151+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:33:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.42 fof(f3,axiom,(
% 0.10/0.42 (! [X] : ~ gt(X,X) )),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f5,axiom,(
% 0.10/0.42 (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f13,axiom,(
% 0.10/0.42 (! [X,Y] :( leq(X,Y)<=> gt(succ(Y),X) ) )),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f28,axiom,(
% 0.10/0.42 succ(tptp_minus_1) = n0 ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f53,conjecture,(
% 0.10/0.42 (! [A] :( ( leq(n0,A)& leq(A,tptp_minus_1) )=> sum(n0,n4,a_select3(q,A,tptp_sum_index)) = n1 ) )),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f54,negated_conjecture,(
% 0.10/0.42 ~((! [A] :( ( leq(n0,A)& leq(A,tptp_minus_1) )=> sum(n0,n4,a_select3(q,A,tptp_sum_index)) = n1 ) ))),
% 0.10/0.42 inference(negated_conjecture,[status(cth)],[f53])).
% 0.10/0.42 fof(f91,plain,(
% 0.10/0.42 ![X0]: (~gt(X0,X0))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.42 fof(f93,plain,(
% 0.10/0.42 ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))),
% 0.10/0.42 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.10/0.42 fof(f94,plain,(
% 0.10/0.42 ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))),
% 0.10/0.42 inference(miniscoping,[status(thm)],[f93])).
% 0.10/0.42 fof(f95,plain,(
% 0.10/0.42 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f94])).
% 0.10/0.42 fof(f115,plain,(
% 0.10/0.42 ![X,Y]: ((~leq(X,Y)|gt(succ(Y),X))&(leq(X,Y)|~gt(succ(Y),X)))),
% 0.10/0.42 inference(NNF_transformation,[status(thm)],[f13])).
% 0.10/0.42 fof(f116,plain,(
% 0.10/0.42 (![X,Y]: (~leq(X,Y)|gt(succ(Y),X)))&(![X,Y]: (leq(X,Y)|~gt(succ(Y),X)))),
% 0.10/0.42 inference(miniscoping,[status(thm)],[f115])).
% 0.10/0.42 fof(f117,plain,(
% 0.10/0.42 ![X0,X1]: (~leq(X0,X1)|gt(succ(X1),X0))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f116])).
% 0.10/0.42 fof(f199,plain,(
% 0.10/0.42 succ(tptp_minus_1)=n0),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.42 fof(f244,plain,(
% 0.10/0.42 (?[A]: ((leq(n0,A)&leq(A,tptp_minus_1))&~sum(n0,n4,a_select3(q,A,tptp_sum_index))=n1))),
% 0.10/0.42 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.10/0.42 fof(f245,plain,(
% 0.10/0.42 ((leq(n0,sK23_skl)&leq(sK23_skl,tptp_minus_1))&~sum(n0,n4,a_select3(q,sK23_skl,tptp_sum_index))=n1)),
% 0.10/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(A,sK23_skl)],[f244])).
% 0.10/0.42 fof(f246,plain,(
% 0.10/0.42 leq(n0,sK23_skl)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f245])).
% 0.10/0.42 fof(f247,plain,(
% 0.10/0.42 leq(sK23_skl,tptp_minus_1)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f245])).
% 0.10/0.42 fof(f325,plain,(
% 0.10/0.42 ![X0]: (~leq(sK23_skl,X0)|leq(n0,X0))),
% 0.10/0.42 inference(resolution,[status(thm)],[f95,f246])).
% 0.10/0.42 fof(f360,plain,(
% 0.10/0.42 leq(n0,tptp_minus_1)),
% 0.10/0.42 inference(resolution,[status(thm)],[f325,f247])).
% 0.10/0.42 fof(f560,plain,(
% 0.10/0.42 gt(succ(tptp_minus_1),n0)),
% 0.10/0.42 inference(resolution,[status(thm)],[f360,f117])).
% 0.10/0.42 fof(f570,plain,(
% 0.10/0.42 gt(n0,n0)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f199,f560])).
% 0.10/0.42 fof(f571,plain,(
% 0.10/0.42 $false),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f570,f91])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.45 % Elapsed time: 0.083986 seconds
% 0.10/0.45 % CPU time: 0.297818 seconds
% 0.10/0.45 % Total memory used: 77.076 MB
% 0.10/0.45 % Net memory used: 76.628 MB
%------------------------------------------------------------------------------