%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO004-2 : 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 : 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 12:06:42 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO004-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n001.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 13:51:30 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f3,axiom,(
% 0.12/0.41 (![X,Y,Z]: (add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f8,axiom,(
% 0.12/0.41 (![X]: (add(inverse(X),X) = multiplicative_identity ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f10,axiom,(
% 0.12/0.41 (![X]: (multiply(inverse(X),X) = additive_identity ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f12,axiom,(
% 0.12/0.41 (![X]: (multiply(multiplicative_identity,X) = X ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f14,axiom,(
% 0.12/0.41 (![X]: (add(additive_identity,X) = X ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f15,negated_conjecture,(
% 0.12/0.41 add(a,a) != a ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f18,plain,(
% 0.12/0.41 ![X0,X1,X2]: (add(multiply(X0,X1),X2)=multiply(add(X0,X2),add(X1,X2)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.41 fof(f23,plain,(
% 0.12/0.41 ![X0]: (add(inverse(X0),X0)=multiplicative_identity)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.41 fof(f25,plain,(
% 0.12/0.41 ![X0]: (multiply(inverse(X0),X0)=additive_identity)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.41 fof(f27,plain,(
% 0.12/0.41 ![X0]: (multiply(multiplicative_identity,X0)=X0)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.41 fof(f29,plain,(
% 0.12/0.41 ![X0]: (add(additive_identity,X0)=X0)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.41 fof(f30,plain,(
% 0.12/0.41 ~add(a,a)=a),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.41 fof(f87,plain,(
% 0.12/0.41 ![X0,X1]: (add(multiply(inverse(X0),X1),X0)=multiply(multiplicative_identity,add(X1,X0)))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f23,f18])).
% 0.12/0.41 fof(f101,plain,(
% 0.12/0.41 ![X0,X1]: (add(multiply(inverse(X0),X1),X0)=add(X1,X0))),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f27,f87])).
% 0.12/0.41 fof(f136,plain,(
% 0.12/0.41 ![X0]: (add(additive_identity,X0)=add(X0,X0))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f25,f101])).
% 0.12/0.41 fof(f152,plain,(
% 0.12/0.41 ~a=a),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f153,f30])).
% 0.12/0.41 fof(f153,plain,(
% 0.12/0.41 ![X0]: (X0=add(X0,X0))),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f29,f136])).
% 0.12/0.41 fof(f163,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f152])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.44 % Elapsed time: 0.042144 seconds
% 0.12/0.44 % CPU time: 0.058406 seconds
% 0.12/0.44 % Total memory used: 2.009 MB
% 0.12/0.44 % Net memory used: 1.994 MB
%------------------------------------------------------------------------------