%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP562-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 12:36:49 PM UTC 2026
% Result : Unsatisfiable 0.09s 5.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP562-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n020.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 20 20:17:38 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.09/5.39 % Refutation found
% 0.09/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/5.39 fof(f1,axiom,(
% 0.09/5.39 (![A,B,C]: (divide(divide(divide(A,inverse(B)),C),divide(A,C)) = B ))),
% 0.09/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f2,axiom,(
% 0.09/5.39 (![A,B]: (multiply(A,B) = divide(A,inverse(B)) ))),
% 0.09/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f3,negated_conjecture,(
% 0.09/5.39 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.09/5.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f4,plain,(
% 0.09/5.39 ![X0,X1,X2]: (divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2))=X1)),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/5.39 fof(f5,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/5.39 fof(f6,plain,(
% 0.09/5.39 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/5.39 fof(f11,plain,(
% 0.09/5.39 ![X0,X1,X2]: (divide(divide(multiply(X0,X1),X2),divide(X0,X2))=X1)),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.09/5.39 fof(f13,plain,(
% 0.09/5.39 ![X0,X1,X2,X3]: (divide(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X1)=X3)),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f11,f11])).
% 0.09/5.39 fof(f21,plain,(
% 0.09/5.39 ![X0,X1,X2,X3]: (multiply(divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)),X1)=X3)),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f5,f13])).
% 0.09/5.39 fof(f49,plain,(
% 0.09/5.39 ![X0,X1,X2,X3]: (divide(divide(X0,divide(divide(multiply(X1,inverse(X2)),X3),divide(X1,X3))),X0)=X2)),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f21,f13])).
% 0.09/5.39 fof(f62,plain,(
% 0.09/5.39 ![X0,X1]: (divide(divide(X0,inverse(X1)),X0)=X1)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f11,f49])).
% 0.09/5.39 fof(f63,plain,(
% 0.09/5.39 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f5,f62])).
% 0.09/5.39 fof(f78,plain,(
% 0.09/5.39 ![X0,X1]: (divide(X0,divide(X1,X1))=X0)),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f63,f11])).
% 0.09/5.39 fof(f85,plain,(
% 0.09/5.39 ![X0,X1]: (X0=multiply(divide(X1,X1),X0))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f63,f78])).
% 0.09/5.39 fof(f118,plain,(
% 0.09/5.39 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X1),X0))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f5,f85])).
% 0.09/5.39 fof(f133,plain,(
% 0.09/5.39 ~a2=a2),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f118,f6])).
% 0.09/5.39 fof(f142,plain,(
% 0.09/5.39 $false),
% 0.09/5.39 inference(trivial_equality_resolution,[status(thm)],[f133])).
% 0.09/5.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.40 % Elapsed time: 0.023633 seconds
% 0.13/5.40 % CPU time: 0.059767 seconds
% 0.13/5.40 % Total memory used: 3.718 MB
% 0.13/5.40 % Net memory used: 3.714 MB
%------------------------------------------------------------------------------