%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM341+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 : n018.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 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM341+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:25:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f296,axiom,(
% 0.09/0.41 (! [X,Y,Z] :( sum(Y,Z,X)<=> difference(X,Y,Z) ) )),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f402,conjecture,(
% 0.09/0.41 (? [X,Y,Z] :( sum(X,Y,Z)<=> ( difference(Z,Y,X)& difference(Z,X,Y) ) ) )),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f403,negated_conjecture,(
% 0.09/0.41 ~((? [X,Y,Z] :( sum(X,Y,Z)<=> ( difference(Z,Y,X)& difference(Z,X,Y) ) ) ))),
% 0.09/0.41 inference(negated_conjecture,[status(cth)],[f402])).
% 0.09/0.41 fof(f743,plain,(
% 0.09/0.41 ![X,Y,Z]: ((~sum(Y,Z,X)|difference(X,Y,Z))&(sum(Y,Z,X)|~difference(X,Y,Z)))),
% 0.09/0.41 inference(NNF_transformation,[status(thm)],[f296])).
% 0.09/0.41 fof(f744,plain,(
% 0.09/0.41 (![X,Y,Z]: (~sum(Y,Z,X)|difference(X,Y,Z)))&(![X,Y,Z]: (sum(Y,Z,X)|~difference(X,Y,Z)))),
% 0.09/0.41 inference(miniscoping,[status(thm)],[f743])).
% 0.09/0.41 fof(f745,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~sum(X0,X1,X2)|difference(X2,X0,X1))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f744])).
% 0.09/0.41 fof(f746,plain,(
% 0.09/0.41 ![X0,X1,X2]: (sum(X0,X1,X2)|~difference(X2,X0,X1))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f744])).
% 0.09/0.41 fof(f861,plain,(
% 0.09/0.41 (![X,Y,Z]: (sum(X,Y,Z)<~>(difference(Z,Y,X)&difference(Z,X,Y))))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f403])).
% 0.09/0.41 fof(f862,plain,(
% 0.09/0.41 ![X,Y,Z]: ((sum(X,Y,Z)|(difference(Z,Y,X)&difference(Z,X,Y)))&(~sum(X,Y,Z)|(~difference(Z,Y,X)|~difference(Z,X,Y))))),
% 0.09/0.41 inference(NNF_transformation,[status(thm)],[f861])).
% 0.09/0.41 fof(f863,plain,(
% 0.09/0.41 (![X,Y,Z]: (sum(X,Y,Z)|(difference(Z,Y,X)&difference(Z,X,Y))))&(![X,Y,Z]: (~sum(X,Y,Z)|(~difference(Z,Y,X)|~difference(Z,X,Y))))),
% 0.09/0.41 inference(miniscoping,[status(thm)],[f862])).
% 0.09/0.41 fof(f865,plain,(
% 0.09/0.41 ![X0,X1,X2]: (sum(X0,X1,X2)|difference(X2,X0,X1))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f863])).
% 0.09/0.41 fof(f866,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~sum(X0,X1,X2)|~difference(X2,X1,X0)|~difference(X2,X0,X1))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f863])).
% 0.09/0.41 fof(f877,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~sum(X0,X1,X2)|~difference(X2,X1,X0))),
% 0.09/0.41 inference(backward_subsumption_resolution,[status(thm)],[f866,f878])).
% 0.09/0.41 fof(f878,plain,(
% 0.09/0.41 ![X0,X1,X2]: (difference(X0,X1,X2))),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f745,f865])).
% 0.09/0.41 fof(f879,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~sum(X0,X1,X2))),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f877,f878])).
% 0.09/0.41 fof(f882,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~difference(X0,X1,X2))),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f746,f879])).
% 0.09/0.41 fof(f883,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(backward_subsumption_resolution,[status(thm)],[f878,f882])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.44 % Elapsed time: 0.066129 seconds
% 0.09/0.44 % CPU time: 0.167415 seconds
% 0.09/0.44 % Total memory used: 97.441 MB
% 0.09/0.44 % Net memory used: 97.364 MB
%------------------------------------------------------------------------------