%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG038-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 02:05:12 PM UTC 2026
% Result : Unsatisfiable 0.23s 5.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG038-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.45 % Computer : n017.cluster.edu
% 0.17/5.45 % Model : x86_64 x86_64
% 0.17/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.45 % Memory : 8046.5625MB
% 0.17/5.45 % OS : Linux 6.8.0-71-generic
% 0.17/5.45 % CPULimit : 300
% 0.17/5.45 % WCLimit : 300
% 0.17/5.45 % DateTime : Mon Sep 21 04:10:17 UTC 2026
% 0.17/5.46 % CPUTime :
% 0.17/5.46 % Drodi V4.1.1
% 0.23/5.55 % Refutation found
% 0.23/5.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/5.55 % SZS output start CNFRefutation for theBenchmark
% 0.23/5.55 fof(f10,axiom,(
% 0.23/5.55 (![X]: (sum(X,additive_identity,X) ))),
% 0.23/5.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.55 fof(f23,axiom,(
% 0.23/5.55 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| equalish(U,V) ) ))),
% 0.23/5.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.55 fof(f24,axiom,(
% 0.23/5.55 (![X,Y,U,V]: (( ~ product(X,Y,U)| ~ product(X,Y,V)| equalish(U,V) ) ))),
% 0.23/5.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.55 fof(f25,axiom,(
% 0.23/5.55 (![X]: (product(additive_identity,X,additive_identity) ))),
% 0.23/5.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.55 fof(f27,hypothesis,(
% 0.23/5.55 (![X,Y]: (( ~ equalish(X,additive_identity)| product(X,h(X,Y),Y) ) ))),
% 0.23/5.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.55 fof(f30,negated_conjecture,(
% 0.23/5.55 ~ equalish(b,additive_identity) ),
% 0.23/5.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.55 fof(f48,plain,(
% 0.23/5.55 ![X0]: (sum(X0,additive_identity,X0))),
% 0.23/5.55 inference(cnf_transformation,[status(thm)],[f10])).
% 0.23/5.55 fof(f69,plain,(
% 0.23/5.55 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|equalish(U,V))),
% 0.23/5.55 inference(miniscoping,[status(thm)],[f23])).
% 0.23/5.55 fof(f70,plain,(
% 0.23/5.55 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|equalish(X2,X3))),
% 0.23/5.55 inference(cnf_transformation,[status(thm)],[f69])).
% 0.23/5.55 fof(f71,plain,(
% 0.23/5.55 ![U,V]: ((![X,Y]: (~product(X,Y,U)|~product(X,Y,V)))|equalish(U,V))),
% 0.23/5.55 inference(miniscoping,[status(thm)],[f24])).
% 0.23/5.55 fof(f72,plain,(
% 0.23/5.55 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.23/5.55 inference(cnf_transformation,[status(thm)],[f71])).
% 0.23/5.55 fof(f73,plain,(
% 0.23/5.55 ![X0]: (product(additive_identity,X0,additive_identity))),
% 0.23/5.55 inference(cnf_transformation,[status(thm)],[f25])).
% 0.23/5.55 fof(f75,plain,(
% 0.23/5.55 ![X]: (~equalish(X,additive_identity)|(![Y]: product(X,h(X,Y),Y)))),
% 0.23/5.55 inference(miniscoping,[status(thm)],[f27])).
% 0.23/5.55 fof(f76,plain,(
% 0.23/5.55 ![X0,X1]: (~equalish(X0,additive_identity)|product(X0,h(X0,X1),X1))),
% 0.23/5.55 inference(cnf_transformation,[status(thm)],[f75])).
% 0.23/5.55 fof(f79,plain,(
% 0.23/5.55 ~equalish(b,additive_identity)),
% 0.23/5.55 inference(cnf_transformation,[status(thm)],[f30])).
% 0.23/5.55 fof(f81,plain,(
% 0.23/5.55 ![X0,X1]: (~sum(X0,additive_identity,X1)|equalish(X1,X0))),
% 0.23/5.55 inference(resolution,[status(thm)],[f70,f48])).
% 0.23/5.55 fof(f84,plain,(
% 0.23/5.55 ![X0]: (equalish(X0,X0))),
% 0.23/5.55 inference(resolution,[status(thm)],[f81,f48])).
% 0.23/5.55 fof(f87,plain,(
% 0.23/5.55 ![X0]: (product(additive_identity,h(additive_identity,X0),X0))),
% 0.23/5.55 inference(resolution,[status(thm)],[f84,f76])).
% 0.23/5.55 fof(f112,plain,(
% 0.23/5.55 ![X0,X1]: (~product(additive_identity,X0,X1)|equalish(X1,additive_identity))),
% 0.23/5.55 inference(resolution,[status(thm)],[f72,f73])).
% 0.23/5.55 fof(f148,plain,(
% 0.23/5.55 ![X0]: (equalish(X0,additive_identity))),
% 0.23/5.55 inference(resolution,[status(thm)],[f112,f87])).
% 0.23/5.55 fof(f153,plain,(
% 0.23/5.55 $false),
% 0.23/5.55 inference(backward_subsumption_resolution,[status(thm)],[f79,f148])).
% 0.23/5.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/5.56 % Elapsed time: 0.091844 seconds
% 0.23/5.56 % CPU time: 0.218694 seconds
% 0.23/5.56 % Total memory used: 37.689 MB
% 0.23/5.56 % Net memory used: 37.457 MB
%------------------------------------------------------------------------------