%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO010-2 : 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 : 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 12:06:44 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO010-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n017.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % 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 13:42:42 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,axiom,(
% 0.13/0.38 (![X,Y,Z]: (add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,axiom,(
% 0.13/0.38 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,axiom,(
% 0.13/0.38 (![X]: (add(X,inverse(X)) = multiplicative_identity ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f11,axiom,(
% 0.13/0.38 (![X]: (multiply(X,multiplicative_identity) = X ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f12,axiom,(
% 0.13/0.38 (![X]: (multiply(multiplicative_identity,X) = X ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f15,negated_conjecture,(
% 0.13/0.38 add(a,multiply(a,b)) != a ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f19,plain,(
% 0.13/0.38 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X1),add(X0,X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f21,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.38 fof(f22,plain,(
% 0.13/0.38 ![X0]: (add(X0,inverse(X0))=multiplicative_identity)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.38 fof(f26,plain,(
% 0.13/0.38 ![X0]: (multiply(X0,multiplicative_identity)=X0)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 ![X0]: (multiply(multiplicative_identity,X0)=X0)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.38 fof(f30,plain,(
% 0.13/0.38 ~add(a,multiply(a,b))=a),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.38 fof(f111,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,add(multiplicative_identity,X1))=add(X0,multiply(X0,X1)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f26,f21])).
% 0.13/0.38 fof(f128,plain,(
% 0.13/0.38 ~multiply(a,add(multiplicative_identity,b))=a),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f111,f30])).
% 0.13/0.38 fof(f130,plain,(
% 0.13/0.38 ![X0,X1]: (add(X0,multiply(X1,inverse(X0)))=multiply(add(X0,X1),multiplicative_identity))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f22,f19])).
% 0.13/0.38 fof(f134,plain,(
% 0.13/0.38 ![X0,X1]: (add(X0,multiply(X1,inverse(X0)))=add(X0,X1))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f26,f130])).
% 0.13/0.38 fof(f142,plain,(
% 0.13/0.38 ~multiply(a,add(b,multiplicative_identity))=a),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f16,f128])).
% 0.13/0.38 fof(f241,plain,(
% 0.13/0.38 ![X0]: (add(X0,inverse(X0))=add(X0,multiplicative_identity))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f27,f134])).
% 0.13/0.38 fof(f258,plain,(
% 0.13/0.38 ~multiply(a,multiplicative_identity)=a),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f265,f142])).
% 0.13/0.38 fof(f265,plain,(
% 0.13/0.38 ![X0]: (multiplicative_identity=add(X0,multiplicative_identity))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f22,f241])).
% 0.13/0.38 fof(f276,plain,(
% 0.13/0.38 ~a=a),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f26,f258])).
% 0.13/0.38 fof(f277,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f276])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.032434 seconds
% 0.13/0.40 % CPU time: 0.098177 seconds
% 0.13/0.40 % Total memory used: 3.983 MB
% 0.13/0.40 % Net memory used: 3.940 MB
%------------------------------------------------------------------------------