%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO005-4 : 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 : 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 12:06:42 PM UTC 2026
% Result : Unsatisfiable 0.12s 15.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO005-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/15.42 % Computer : n006.cluster.edu
% 0.12/15.42 % Model : x86_64 x86_64
% 0.12/15.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.42 % Memory : 8046.5625MB
% 0.12/15.42 % OS : Linux 6.8.0-71-generic
% 0.12/15.42 % CPULimit : 300
% 0.12/15.42 % WCLimit : 300
% 0.12/15.42 % DateTime : Mon Sep 21 13:46:28 UTC 2026
% 0.12/15.42 % CPUTime :
% 0.12/15.43 % Drodi V4.1.1
% 0.12/15.44 % Refutation found
% 0.12/15.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/15.44 % SZS output start CNFRefutation for theBenchmark
% 0.12/15.44 fof(f2,axiom,(
% 0.12/15.44 (![X,Y]: (multiply(X,Y) = multiply(Y,X) ))),
% 0.12/15.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/15.44 fof(f3,axiom,(
% 0.12/15.44 (![X,Y,Z]: (add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ))),
% 0.12/15.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/15.44 fof(f6,axiom,(
% 0.12/15.44 (![X]: (multiply(X,multiplicative_identity) = X ))),
% 0.12/15.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/15.44 fof(f7,axiom,(
% 0.12/15.44 (![X]: (add(X,inverse(X)) = multiplicative_identity ))),
% 0.12/15.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/15.44 fof(f9,negated_conjecture,(
% 0.12/15.44 add(a,multiplicative_identity) != multiplicative_identity ),
% 0.12/15.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/15.44 fof(f11,plain,(
% 0.12/15.44 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.12/15.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/15.44 fof(f12,plain,(
% 0.12/15.44 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X1),add(X0,X2)))),
% 0.12/15.45 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/15.45 fof(f15,plain,(
% 0.12/15.45 ![X0]: (multiply(X0,multiplicative_identity)=X0)),
% 0.12/15.45 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/15.45 fof(f16,plain,(
% 0.12/15.45 ![X0]: (add(X0,inverse(X0))=multiplicative_identity)),
% 0.12/15.45 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/15.45 fof(f18,plain,(
% 0.12/15.45 ~add(a,multiplicative_identity)=multiplicative_identity),
% 0.12/15.45 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/15.45 fof(f35,plain,(
% 0.12/15.45 ![X0]: (X0=multiply(multiplicative_identity,X0))),
% 0.12/15.45 inference(paramodulation,[status(thm)],[f15,f11])).
% 0.12/15.45 fof(f60,plain,(
% 0.12/15.45 ![X0,X1]: (add(X0,multiply(inverse(X0),X1))=multiply(multiplicative_identity,add(X0,X1)))),
% 0.12/15.45 inference(paramodulation,[status(thm)],[f16,f12])).
% 0.12/15.45 fof(f72,plain,(
% 0.12/15.45 ![X0,X1]: (add(X0,multiply(inverse(X0),X1))=add(X0,X1))),
% 0.12/15.45 inference(forward_demodulation,[status(thm)],[f35,f60])).
% 0.12/15.45 fof(f77,plain,(
% 0.12/15.45 ![X0]: (add(X0,inverse(X0))=add(X0,multiplicative_identity))),
% 0.12/15.45 inference(paramodulation,[status(thm)],[f15,f72])).
% 0.12/15.45 fof(f88,plain,(
% 0.12/15.45 ~multiplicative_identity=multiplicative_identity),
% 0.12/15.45 inference(backward_demodulation,[status(thm)],[f89,f18])).
% 0.12/15.45 fof(f89,plain,(
% 0.12/15.45 ![X0]: (multiplicative_identity=add(X0,multiplicative_identity))),
% 0.12/15.45 inference(forward_demodulation,[status(thm)],[f16,f77])).
% 0.12/15.45 fof(f96,plain,(
% 0.12/15.45 $false),
% 0.12/15.45 inference(trivial_equality_resolution,[status(thm)],[f88])).
% 0.12/15.45 % SZS output end CNFRefutation for theBenchmark.p
% 1.45/16.75 % Elapsed time: 1.106838 seconds
% 1.45/16.75 % CPU time: 0.033198 seconds
% 1.45/16.75 % Total memory used: 569.792 KB
% 1.45/16.75 % Net memory used: 568.592 KB
%------------------------------------------------------------------------------