%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 12:06:41 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n003.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 13:47:46 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,axiom,(
% 0.12/0.37 (![V,W,X,Y,Z]: (multiply(multiply(V,W,X),Y,multiply(V,W,Z)) = multiply(V,W,multiply(X,Y,Z)) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,axiom,(
% 0.12/0.37 (![Y,X]: (multiply(Y,X,X) = X ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f3,axiom,(
% 0.12/0.37 (![X,Y]: (multiply(X,X,Y) = X ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f4,axiom,(
% 0.12/0.37 (![Y,X]: (multiply(inverse(Y),Y,X) = X ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f5,axiom,(
% 0.12/0.37 (![X,Y]: (multiply(X,Y,inverse(Y)) = X ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f6,negated_conjecture,(
% 0.12/0.37 inverse(inverse(a)) != a ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f7,plain,(
% 0.12/0.37 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4))=multiply(X0,X1,multiply(X2,X3,X4)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.37 fof(f8,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(X0,X1,X1)=X1)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.37 fof(f9,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(X0,X0,X1)=X0)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.37 fof(f10,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(inverse(X0),X0,X1)=X1)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.37 fof(f11,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(X0,X1,inverse(X1))=X0)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.37 fof(f12,plain,(
% 0.12/0.37 ~inverse(inverse(a))=a),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.37 fof(f28,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (multiply(X0,X1,multiply(X0,X2,X3))=multiply(X0,X2,multiply(inverse(X2),X1,X3)))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f11,f7])).
% 0.12/0.37 fof(f63,plain,(
% 0.12/0.37 ![X0,X1,X2]: (multiply(X0,inverse(X1),multiply(X0,X1,X2))=multiply(X0,X1,inverse(X1)))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f9,f28])).
% 0.12/0.37 fof(f81,plain,(
% 0.12/0.37 ![X0,X1,X2]: (multiply(X0,inverse(X1),multiply(X0,X1,X2))=X0)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f11,f63])).
% 0.12/0.37 fof(f145,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(X0,inverse(X1),X1)=X0)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f8,f81])).
% 0.12/0.37 fof(f166,plain,(
% 0.12/0.37 ![X0]: (X0=inverse(inverse(X0)))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f10,f145])).
% 0.12/0.37 fof(f180,plain,(
% 0.12/0.37 ~a=a),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f166,f12])).
% 0.12/0.37 fof(f188,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(trivial_equality_resolution,[status(thm)],[f180])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 5.75/1.59 % Elapsed time: 1.027798 seconds
% 5.75/1.59 % CPU time: 0.061402 seconds
% 5.75/1.59 % Total memory used: 1.924 MB
% 5.75/1.59 % Net memory used: 1.861 MB
%------------------------------------------------------------------------------