%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO005-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 12:06:42 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : BOO005-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n010.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % 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 13:46:11 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 % Drodi V4.1.1
% 0.16/0.44 % Refutation found
% 0.16/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.44 fof(f1,axiom,(
% 0.16/0.44 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 0.16/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44 fof(f3,axiom,(
% 0.16/0.44 (![X,Y,Z]: (add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) ))),
% 0.16/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44 fof(f8,axiom,(
% 0.16/0.44 (![X]: (add(inverse(X),X) = multiplicative_identity ))),
% 0.16/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44 fof(f11,axiom,(
% 0.16/0.44 (![X]: (multiply(X,multiplicative_identity) = X ))),
% 0.16/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44 fof(f12,axiom,(
% 0.16/0.44 (![X]: (multiply(multiplicative_identity,X) = X ))),
% 0.16/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44 fof(f15,negated_conjecture,(
% 0.16/0.44 add(a,multiplicative_identity) != multiplicative_identity ),
% 0.16/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44 fof(f16,plain,(
% 0.16/0.44 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 0.16/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/0.44 fof(f18,plain,(
% 0.16/0.44 ![X0,X1,X2]: (add(multiply(X0,X1),X2)=multiply(add(X0,X2),add(X1,X2)))),
% 0.16/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/0.44 fof(f23,plain,(
% 0.16/0.44 ![X0]: (add(inverse(X0),X0)=multiplicative_identity)),
% 0.16/0.44 inference(cnf_transformation,[status(thm)],[f8])).
% 0.16/0.44 fof(f26,plain,(
% 0.16/0.44 ![X0]: (multiply(X0,multiplicative_identity)=X0)),
% 0.16/0.44 inference(cnf_transformation,[status(thm)],[f11])).
% 0.16/0.44 fof(f27,plain,(
% 0.16/0.44 ![X0]: (multiply(multiplicative_identity,X0)=X0)),
% 0.16/0.44 inference(cnf_transformation,[status(thm)],[f12])).
% 0.16/0.44 fof(f30,plain,(
% 0.16/0.44 ~add(a,multiplicative_identity)=multiplicative_identity),
% 0.16/0.44 inference(cnf_transformation,[status(thm)],[f15])).
% 0.16/0.44 fof(f87,plain,(
% 0.16/0.44 ![X0,X1]: (add(multiply(inverse(X0),X1),X0)=multiply(multiplicative_identity,add(X1,X0)))),
% 0.16/0.44 inference(paramodulation,[status(thm)],[f23,f18])).
% 0.16/0.44 fof(f101,plain,(
% 0.16/0.44 ![X0,X1]: (add(multiply(inverse(X0),X1),X0)=add(X1,X0))),
% 0.16/0.44 inference(forward_demodulation,[status(thm)],[f27,f87])).
% 0.16/0.44 fof(f112,plain,(
% 0.16/0.44 ![X0]: (add(inverse(X0),X0)=add(multiplicative_identity,X0))),
% 0.16/0.44 inference(paramodulation,[status(thm)],[f26,f101])).
% 0.16/0.44 fof(f126,plain,(
% 0.16/0.44 ![X0]: (multiplicative_identity=add(multiplicative_identity,X0))),
% 0.16/0.44 inference(forward_demodulation,[status(thm)],[f23,f112])).
% 0.16/0.44 fof(f142,plain,(
% 0.16/0.44 ![X0]: (multiplicative_identity=add(X0,multiplicative_identity))),
% 0.16/0.44 inference(paramodulation,[status(thm)],[f16,f126])).
% 0.16/0.44 fof(f151,plain,(
% 0.16/0.44 ~multiplicative_identity=multiplicative_identity),
% 0.16/0.44 inference(backward_demodulation,[status(thm)],[f142,f30])).
% 0.16/0.44 fof(f155,plain,(
% 0.16/0.44 $false),
% 0.16/0.44 inference(trivial_equality_resolution,[status(thm)],[f151])).
% 0.16/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.45 % Elapsed time: 0.024726 seconds
% 0.16/0.45 % CPU time: 0.056846 seconds
% 0.16/0.45 % Total memory used: 2.713 MB
% 0.16/0.45 % Net memory used: 2.680 MB
%------------------------------------------------------------------------------