%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO002-2 : 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 : n004.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 28.61s 9.07s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO002-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n004.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 13:46:11 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.38 % Drodi V4.1.1
% 28.61/9.07 % Refutation found
% 28.61/9.07 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 28.61/9.07 % SZS output start CNFRefutation for theBenchmark
% 28.61/9.07 fof(f1,axiom,(
% 28.61/9.07 (![V,W,X,Y,Z]: (multiply(multiply(V,W,X),Y,multiply(V,W,Z)) = multiply(V,W,multiply(X,Y,Z)) ))),
% 28.61/9.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.61/9.07 fof(f2,axiom,(
% 28.61/9.07 (![Y,X]: (multiply(Y,X,X) = X ))),
% 28.61/9.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.61/9.07 fof(f3,axiom,(
% 28.61/9.07 (![X,Y]: (multiply(X,X,Y) = X ))),
% 28.61/9.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.61/9.07 fof(f4,axiom,(
% 28.61/9.07 (![Y,X]: (multiply(inverse(Y),Y,X) = X ))),
% 28.61/9.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.61/9.07 fof(f5,axiom,(
% 28.61/9.07 (![X,Y]: (multiply(X,Y,X) = X ))),
% 28.61/9.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.61/9.07 fof(f6,negated_conjecture,(
% 28.61/9.07 multiply(a,inverse(a),b) != b ),
% 28.61/9.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.61/9.07 fof(f7,plain,(
% 28.61/9.07 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4))=multiply(X0,X1,multiply(X2,X3,X4)))),
% 28.61/9.07 inference(cnf_transformation,[status(thm)],[f1])).
% 28.61/9.07 fof(f8,plain,(
% 28.61/9.07 ![X0,X1]: (multiply(X0,X1,X1)=X1)),
% 28.61/9.07 inference(cnf_transformation,[status(thm)],[f2])).
% 28.61/9.07 fof(f9,plain,(
% 28.61/9.07 ![X0,X1]: (multiply(X0,X0,X1)=X0)),
% 28.61/9.07 inference(cnf_transformation,[status(thm)],[f3])).
% 28.61/9.07 fof(f10,plain,(
% 28.61/9.07 ![X0,X1]: (multiply(inverse(X0),X0,X1)=X1)),
% 28.61/9.07 inference(cnf_transformation,[status(thm)],[f4])).
% 28.61/9.07 fof(f11,plain,(
% 28.61/9.07 ![X0,X1]: (multiply(X0,X1,X0)=X0)),
% 28.61/9.07 inference(cnf_transformation,[status(thm)],[f5])).
% 28.61/9.07 fof(f12,plain,(
% 28.61/9.07 ~multiply(a,inverse(a),b)=b),
% 28.61/9.07 inference(cnf_transformation,[status(thm)],[f6])).
% 28.61/9.07 fof(f27,plain,(
% 28.61/9.07 ![X0,X1,X2,X3]: (multiply(X0,X1,X2)=multiply(X0,X1,multiply(X2,multiply(X0,X1,X2),X3)))),
% 28.61/9.07 inference(paramodulation,[status(thm)],[f9,f7])).
% 28.61/9.07 fof(f31,plain,(
% 28.61/9.07 ![X0,X1,X2,X3]: (multiply(X0,X1,multiply(X0,X2,X3))=multiply(X0,X2,multiply(X0,X1,X3)))),
% 28.61/9.07 inference(paramodulation,[status(thm)],[f11,f7])).
% 28.61/9.07 fof(f33,plain,(
% 28.61/9.07 ![X0,X1,X2,X3]: (multiply(X0,X1,multiply(X2,X0,X3))=multiply(X2,X0,multiply(X0,X1,X3)))),
% 28.61/9.07 inference(paramodulation,[status(thm)],[f8,f7])).
% 28.61/9.07 fof(f36,plain,(
% 28.61/9.07 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1,X2),X3,X0)=multiply(X0,X1,multiply(X2,X3,X0)))),
% 28.61/9.07 inference(paramodulation,[status(thm)],[f11,f7])).
% 28.61/9.07 fof(f159,plain,(
% 28.61/9.07 ![X0,X1,X2]: (multiply(X0,X1,X2)=multiply(X0,X2,multiply(X0,X1,X2)))),
% 28.61/9.07 inference(paramodulation,[status(thm)],[f8,f31])).
% 28.61/9.07 fof(f230,plain,(
% 28.61/9.07 ![X0,X1,X2,X3]: (multiply(X0,X1,X2)=multiply(X0,X1,multiply(X2,X3,multiply(X0,X1,X2))))),
% 28.61/9.07 inference(paramodulation,[status(thm)],[f159,f27])).
% 28.61/9.07 fof(f306,plain,(
% 28.61/9.07 ![X0,X1,X2]: (multiply(X0,X1,multiply(X2,X0,X1))=multiply(X2,X0,X1))),
% 28.61/9.07 inference(paramodulation,[status(thm)],[f8,f33])).
% 28.61/9.07 fof(f638,plain,(
% 28.61/9.07 ![X0,X1,X2,X3]: (multiply(X0,X1,X2)=multiply(X0,X1,multiply(X3,X2,multiply(X0,X1,X2))))),
% 28.61/9.07 inference(paramodulation,[status(thm)],[f306,f27])).
% 28.61/9.07 fof(f1065,plain,(
% 28.61/9.07 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2,X0),X1)=multiply(X0,multiply(X1,X2,X0),multiply(X1,X2,X0)))),
% 28.61/9.07 inference(paramodulation,[status(thm)],[f27,f230])).
% 28.61/9.07 fof(f1162,plain,(
% 28.61/9.07 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2,X0),X1)=multiply(X1,X2,X0))),
% 28.61/9.07 inference(forward_demodulation,[status(thm)],[f8,f1065])).
% 28.61/9.07 fof(f1305,plain,(
% 28.61/9.07 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1,X2),X3,X2)=multiply(X2,multiply(X0,X1,X2),multiply(X0,X3,X2)))),
% 28.61/9.07 inference(paramodulation,[status(thm)],[f1162,f36])).
% 28.61/9.07 fof(f2084,plain,(
% 28.61/9.07 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2,X0),X2)=multiply(X0,multiply(X1,X2,X0),multiply(X1,X2,X0)))),
% 28.61/9.07 inference(paramodulation,[status(thm)],[f27,f638])).
% 28.61/9.07 fof(f2185,plain,(
% 28.61/9.07 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2,X0),X2)=multiply(X1,X2,X0))),
% 28.61/9.07 inference(forward_demodulation,[status(thm)],[f8,f2084])).
% 28.61/9.07 fof(f2319,plain,(
% 28.61/9.07 ![X0,X1,X2]: (multiply(X0,multiply(X1,X0,X2),X2)=multiply(X2,multiply(X1,X0,X2),X0))),
% 28.61/9.07 inference(paramodulation,[status(thm)],[f2185,f1162])).
% 28.61/9.07 fof(f2372,plain,(
% 28.61/9.07 ![X0,X1,X2]: (multiply(X0,multiply(X1,X0,X2),X2)=multiply(X1,X0,X2))),
% 28.61/9.07 inference(forward_demodulation,[status(thm)],[f2185,f2319])).
% 28.61/9.07 fof(f41760,plain,(
% 28.61/9.07 ![X0,X1,X2]: (multiply(multiply(inverse(X0),X1,X2),X0,X2)=multiply(X2,multiply(inverse(X0),X1,X2),X2))),
% 28.61/9.08 inference(paramodulation,[status(thm)],[f10,f1305])).
% 28.61/9.08 fof(f41821,plain,(
% 28.61/9.08 ![X0,X1,X2]: (multiply(multiply(X0,X1,X2),X0,X2)=multiply(X2,multiply(X0,X1,X2),X0))),
% 28.61/9.08 inference(paramodulation,[status(thm)],[f9,f1305])).
% 28.61/9.08 fof(f42292,plain,(
% 28.61/9.08 ![X0,X1,X2]: (multiply(multiply(inverse(X0),X1,X2),X0,X2)=X2)),
% 28.61/9.08 inference(forward_demodulation,[status(thm)],[f11,f41760])).
% 28.61/9.08 fof(f42376,plain,(
% 28.61/9.08 ![X0,X1,X2]: (multiply(multiply(X0,X1,X2),X0,X2)=multiply(X0,X1,X2))),
% 28.61/9.08 inference(forward_demodulation,[status(thm)],[f1162,f41821])).
% 28.61/9.08 fof(f42650,plain,(
% 28.61/9.08 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X1),X2),X1,X2)=X2)),
% 28.61/9.08 inference(paramodulation,[status(thm)],[f2372,f42292])).
% 28.61/9.08 fof(f44211,plain,(
% 28.61/9.08 ![X0,X1]: (X0=multiply(X1,inverse(X1),X0))),
% 28.61/9.08 inference(paramodulation,[status(thm)],[f42650,f42376])).
% 28.61/9.08 fof(f44907,plain,(
% 28.61/9.08 ~b=b),
% 28.61/9.08 inference(backward_demodulation,[status(thm)],[f44211,f12])).
% 28.61/9.08 fof(f45181,plain,(
% 28.61/9.08 $false),
% 28.61/9.08 inference(trivial_equality_resolution,[status(thm)],[f44907])).
% 28.61/9.08 % SZS output end CNFRefutation for theBenchmark.p
% 12.56/15.77 % Elapsed time: 10.393993 seconds
% 12.56/15.77 % CPU time: 81.379813 seconds
% 12.56/15.77 % Total memory used: 43.617 GB
% 12.56/15.77 % Net memory used: 43.616 GB
%------------------------------------------------------------------------------