%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO006-2 : 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 : n006.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 12:06:43 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO006-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 13:47:12 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f6,axiom,(
% 0.09/0.37 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f9,axiom,(
% 0.09/0.37 (![X]: (multiply(X,inverse(X)) = additive_identity ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f13,axiom,(
% 0.09/0.37 (![X]: (add(X,additive_identity) = X ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f14,axiom,(
% 0.09/0.37 (![X]: (add(additive_identity,X) = X ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f15,negated_conjecture,(
% 0.09/0.37 multiply(a,additive_identity) != additive_identity ),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f21,plain,(
% 0.09/0.37 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.37 fof(f24,plain,(
% 0.09/0.37 ![X0]: (multiply(X0,inverse(X0))=additive_identity)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.37 fof(f28,plain,(
% 0.09/0.37 ![X0]: (add(X0,additive_identity)=X0)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.37 fof(f29,plain,(
% 0.09/0.37 ![X0]: (add(additive_identity,X0)=X0)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.37 fof(f30,plain,(
% 0.09/0.37 ~multiply(a,additive_identity)=additive_identity),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.37 fof(f179,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(X0,add(X1,inverse(X0)))=add(multiply(X0,X1),additive_identity))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f24,f21])).
% 0.09/0.37 fof(f197,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(X0,add(X1,inverse(X0)))=multiply(X0,X1))),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f28,f179])).
% 0.09/0.37 fof(f339,plain,(
% 0.09/0.37 ![X0]: (multiply(X0,inverse(X0))=multiply(X0,additive_identity))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f29,f197])).
% 0.09/0.37 fof(f357,plain,(
% 0.09/0.37 ~additive_identity=additive_identity),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f372,f30])).
% 0.09/0.37 fof(f372,plain,(
% 0.09/0.37 ![X0]: (additive_identity=multiply(X0,additive_identity))),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f24,f339])).
% 0.09/0.37 fof(f383,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(trivial_equality_resolution,[status(thm)],[f357])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.034826 seconds
% 0.13/0.40 % CPU time: 0.062158 seconds
% 0.13/0.40 % Total memory used: 2.421 MB
% 0.13/0.40 % Net memory used: 2.409 MB
%------------------------------------------------------------------------------