%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM343+1 : TPTP v9.3.1. Released v3.1.0.
% 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 01:42:33 PM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM343+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n019.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 02:23:04 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.16/0.47 % Refutation found
% 0.16/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.47 fof(f284,axiom,(
% 0.16/0.47 (! [X,Y] :( less(X,Y)<=> ( ~ less(Y,X)& Y != X ) ) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f402,conjecture,(
% 0.16/0.47 (? [X] :( ( less(nn1,X)& less(X,n1) )=> sum(n21,X,n21) ) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f403,negated_conjecture,(
% 0.16/0.47 ~((? [X] :( ( less(nn1,X)& less(X,n1) )=> sum(n21,X,n21) ) ))),
% 0.16/0.47 inference(negated_conjecture,[status(cth)],[f402])).
% 0.16/0.47 fof(f703,plain,(
% 0.16/0.47 ![X,Y]: ((~less(X,Y)|(~less(Y,X)&~Y=X))&(less(X,Y)|(less(Y,X)|Y=X)))),
% 0.16/0.47 inference(NNF_transformation,[status(thm)],[f284])).
% 0.16/0.47 fof(f704,plain,(
% 0.16/0.47 (![X,Y]: (~less(X,Y)|(~less(Y,X)&~Y=X)))&(![X,Y]: (less(X,Y)|(less(Y,X)|Y=X)))),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f703])).
% 0.16/0.47 fof(f706,plain,(
% 0.16/0.47 ![X0,X1]: (~less(X0,X1)|~X1=X0)),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f704])).
% 0.16/0.47 fof(f861,plain,(
% 0.16/0.47 (![X]: ((less(nn1,X)&less(X,n1))&~sum(n21,X,n21)))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(thm)],[f403])).
% 0.16/0.47 fof(f862,plain,(
% 0.16/0.47 ((![X]: less(nn1,X))&(![X]: less(X,n1)))&(![X]: ~sum(n21,X,n21))),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f861])).
% 0.16/0.47 fof(f863,plain,(
% 0.16/0.47 ![X0]: (less(nn1,X0))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f862])).
% 0.16/0.47 fof(f866,plain,(
% 0.16/0.47 ![X0]: (~less(X0,X0))),
% 0.16/0.47 inference(destructive_equality_resolution,[status(thm)],[f706])).
% 0.16/0.47 fof(f868,plain,(
% 0.16/0.47 $false),
% 0.16/0.47 inference(resolution,[status(thm)],[f866,f863])).
% 0.16/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.49 % Elapsed time: 0.064186 seconds
% 0.16/0.49 % CPU time: 0.155323 seconds
% 0.16/0.49 % Total memory used: 33.930 MB
% 0.16/0.49 % Net memory used: 33.906 MB
%------------------------------------------------------------------------------