%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO011-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 12:06:44 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.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 13:53:15 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f5,axiom,(
% 0.14/0.39 (![X]: (sum(additive_identity,X,X) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f18,axiom,(
% 0.14/0.39 (![X]: (sum(X,inverse(X),multiplicative_identity) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f21,axiom,(
% 0.14/0.39 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f23,negated_conjecture,(
% 0.14/0.39 inverse(additive_identity) != multiplicative_identity ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f28,plain,(
% 0.14/0.39 ![X0]: (sum(additive_identity,X0,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f49,plain,(
% 0.14/0.39 ![X0]: (sum(X0,inverse(X0),multiplicative_identity))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.39 fof(f52,plain,(
% 0.14/0.39 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f21])).
% 0.14/0.39 fof(f53,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f52])).
% 0.14/0.39 fof(f56,plain,(
% 0.14/0.39 ~inverse(additive_identity)=multiplicative_identity),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.39 fof(f70,plain,(
% 0.14/0.39 ![X0,X1]: (~sum(additive_identity,X0,X1)|X1=X0)),
% 0.14/0.39 inference(resolution,[status(thm)],[f53,f28])).
% 0.14/0.39 fof(f76,plain,(
% 0.14/0.39 multiplicative_identity=inverse(additive_identity)),
% 0.14/0.39 inference(resolution,[status(thm)],[f70,f49])).
% 0.14/0.39 fof(f80,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f76,f56])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.044005 seconds
% 0.14/0.42 % CPU time: 0.122968 seconds
% 0.14/0.42 % Total memory used: 32.058 MB
% 0.14/0.42 % Net memory used: 31.822 MB
%------------------------------------------------------------------------------