%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO010-4 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 0.11s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO010-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n011.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 21 13:47:41 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 0.11/0.37 % Refutation found
% 0.11/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.37 fof(f1,axiom,(
% 0.11/0.37 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 0.11/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f2,axiom,(
% 0.11/0.37 (![X,Y]: (multiply(X,Y) = multiply(Y,X) ))),
% 0.11/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f3,axiom,(
% 0.11/0.37 (![X,Y,Z]: (add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ))),
% 0.11/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f4,axiom,(
% 0.11/0.37 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 0.11/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f6,axiom,(
% 0.11/0.37 (![X]: (multiply(X,multiplicative_identity) = X ))),
% 0.11/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f7,axiom,(
% 0.11/0.37 (![X]: (add(X,inverse(X)) = multiplicative_identity ))),
% 0.11/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f9,negated_conjecture,(
% 0.11/0.37 add(a,multiply(a,b)) != a ),
% 0.11/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f10,plain,(
% 0.11/0.37 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.37 fof(f11,plain,(
% 0.11/0.37 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.37 fof(f12,plain,(
% 0.11/0.37 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X1),add(X0,X2)))),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.37 fof(f13,plain,(
% 0.11/0.37 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.37 fof(f15,plain,(
% 0.11/0.37 ![X0]: (multiply(X0,multiplicative_identity)=X0)),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.37 fof(f16,plain,(
% 0.11/0.37 ![X0]: (add(X0,inverse(X0))=multiplicative_identity)),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.37 fof(f18,plain,(
% 0.11/0.37 ~add(a,multiply(a,b))=a),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.37 fof(f58,plain,(
% 0.11/0.37 ![X0]: (multiply(multiplicative_identity,X0)=X0)),
% 0.11/0.37 inference(paramodulation,[status(thm)],[f11,f15])).
% 0.11/0.37 fof(f61,plain,(
% 0.11/0.37 ![X0,X1]: (multiply(X0,add(multiplicative_identity,X1))=add(X0,multiply(X0,X1)))),
% 0.11/0.37 inference(paramodulation,[status(thm)],[f15,f13])).
% 0.11/0.37 fof(f64,plain,(
% 0.11/0.37 ~multiply(a,add(multiplicative_identity,b))=a),
% 0.11/0.37 inference(backward_demodulation,[status(thm)],[f61,f18])).
% 0.11/0.37 fof(f77,plain,(
% 0.11/0.37 ![X0,X1]: (add(X0,multiply(X1,inverse(X0)))=multiply(add(X0,X1),multiplicative_identity))),
% 0.11/0.37 inference(paramodulation,[status(thm)],[f16,f12])).
% 0.11/0.37 fof(f79,plain,(
% 0.11/0.37 ![X0,X1]: (add(X0,multiply(X1,inverse(X0)))=add(X0,X1))),
% 0.11/0.37 inference(forward_demodulation,[status(thm)],[f15,f77])).
% 0.11/0.37 fof(f85,plain,(
% 0.11/0.37 ~multiply(a,add(b,multiplicative_identity))=a),
% 0.11/0.37 inference(paramodulation,[status(thm)],[f10,f64])).
% 0.11/0.37 fof(f127,plain,(
% 0.11/0.37 ![X0]: (add(X0,inverse(X0))=add(X0,multiplicative_identity))),
% 0.11/0.37 inference(paramodulation,[status(thm)],[f58,f79])).
% 0.11/0.37 fof(f140,plain,(
% 0.11/0.37 ~multiply(a,multiplicative_identity)=a),
% 0.11/0.37 inference(backward_demodulation,[status(thm)],[f143,f85])).
% 0.11/0.37 fof(f143,plain,(
% 0.11/0.37 ![X0]: (multiplicative_identity=add(X0,multiplicative_identity))),
% 0.11/0.37 inference(forward_demodulation,[status(thm)],[f16,f127])).
% 0.11/0.37 fof(f154,plain,(
% 0.11/0.37 ~a=a),
% 0.11/0.37 inference(forward_demodulation,[status(thm)],[f15,f140])).
% 0.11/0.37 fof(f155,plain,(
% 0.11/0.37 $false),
% 0.11/0.37 inference(trivial_equality_resolution,[status(thm)],[f154])).
% 0.11/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.036961 seconds
% 0.14/0.40 % CPU time: 0.052980 seconds
% 0.14/0.40 % Total memory used: 1.953 MB
% 0.14/0.40 % Net memory used: 1.942 MB
%------------------------------------------------------------------------------