%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP551-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 12:36:48 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP551-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:16:39 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,axiom,(
% 0.12/0.38 (![A,B,C]: (divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f2,axiom,(
% 0.12/0.38 (![A,B]: (multiply(A,B) = divide(A,divide(identity,B)) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f3,axiom,(
% 0.12/0.38 (![A]: (inverse(A) = divide(identity,A) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f4,axiom,(
% 0.12/0.38 (![A]: (identity = divide(A,A) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f5,negated_conjecture,(
% 0.12/0.38 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f6,plain,(
% 0.12/0.38 ![X0,X1,X2]: (divide(divide(identity,X0),divide(divide(divide(X1,X0),X2),X1))=X2)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.38 fof(f7,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.38 fof(f8,plain,(
% 0.12/0.38 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.38 fof(f9,plain,(
% 0.12/0.38 ![X0]: (identity=divide(X0,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.38 fof(f10,plain,(
% 0.12/0.38 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.38 fof(f16,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.12/0.38 fof(f17,plain,(
% 0.12/0.38 ![X0,X1,X2]: (divide(inverse(X0),divide(divide(divide(X1,X0),X2),X1))=X2)),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.12/0.38 fof(f21,plain,(
% 0.12/0.38 inverse(identity)=identity),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f9,f8])).
% 0.12/0.38 fof(f26,plain,(
% 0.12/0.38 ![X0,X1]: (divide(inverse(X0),divide(identity,X1))=divide(X1,X0))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f9,f17])).
% 0.12/0.38 fof(f29,plain,(
% 0.12/0.38 ![X0,X1,X2]: (divide(inverse(inverse(X0)),divide(divide(multiply(X1,X0),X2),X1))=X2)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f16,f17])).
% 0.12/0.38 fof(f30,plain,(
% 0.12/0.38 ![X0,X1]: (divide(inverse(X0),divide(divide(identity,X1),X0))=X1)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f9,f17])).
% 0.12/0.38 fof(f31,plain,(
% 0.12/0.38 ![X0,X1]: (divide(inverse(X0),inverse(X1))=divide(X1,X0))),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f8,f26])).
% 0.12/0.38 fof(f33,plain,(
% 0.12/0.38 ![X0,X1]: (multiply(inverse(X0),X1)=divide(X1,X0))),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f16,f31])).
% 0.12/0.38 fof(f35,plain,(
% 0.12/0.38 ![X0,X1]: (divide(inverse(X0),divide(inverse(X1),X0))=X1)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f8,f30])).
% 0.12/0.38 fof(f36,plain,(
% 0.12/0.38 ![X0,X1]: (divide(inverse(divide(inverse(X0),X1)),X0)=X1)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f35,f35])).
% 0.12/0.38 fof(f38,plain,(
% 0.12/0.38 ![X0,X1]: (divide(inverse(inverse(X0)),multiply(inverse(X1),X0))=X1)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f16,f35])).
% 0.12/0.38 fof(f39,plain,(
% 0.12/0.38 ![X0]: (divide(inverse(inverse(X0)),identity)=X0)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f9,f35])).
% 0.12/0.38 fof(f41,plain,(
% 0.12/0.38 ![X0,X1]: (divide(inverse(inverse(X0)),divide(X0,X1))=X1)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f33,f38])).
% 0.12/0.38 fof(f44,plain,(
% 0.12/0.38 ![X0,X1]: (divide(inverse(identity),divide(divide(X0,X1),inverse(inverse(X0))))=X1)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f39,f17])).
% 0.12/0.38 fof(f46,plain,(
% 0.12/0.38 ![X0,X1]: (divide(identity,divide(divide(X0,X1),inverse(inverse(X0))))=X1)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f21,f44])).
% 0.12/0.38 fof(f47,plain,(
% 0.12/0.38 ![X0,X1]: (inverse(divide(divide(X0,X1),inverse(inverse(X0))))=X1)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f8,f46])).
% 0.12/0.38 fof(f48,plain,(
% 0.12/0.38 ![X0,X1]: (inverse(multiply(divide(X0,X1),inverse(X0)))=X1)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f16,f47])).
% 0.12/0.38 fof(f69,plain,(
% 0.12/0.38 ![X0]: (X0=inverse(inverse(X0)))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f35,f41])).
% 0.12/0.38 fof(f80,plain,(
% 0.12/0.38 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f69,f41])).
% 0.12/0.38 fof(f84,plain,(
% 0.12/0.38 ![X0,X1,X2]: (divide(X0,divide(divide(multiply(X1,X0),X2),X1))=X2)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f69,f29])).
% 0.12/0.39 fof(f106,plain,(
% 0.12/0.39 ![X0,X1]: (multiply(X0,X1)=divide(X1,inverse(X0)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f69,f33])).
% 0.12/0.39 fof(f107,plain,(
% 0.12/0.39 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f69,f16])).
% 0.12/0.39 fof(f113,plain,(
% 0.12/0.39 ![X0,X1]: (inverse(divide(divide(X0,X1),X0))=X1)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f107,f48])).
% 0.12/0.39 fof(f146,plain,(
% 0.12/0.39 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f16,f106])).
% 0.12/0.39 fof(f240,plain,(
% 0.12/0.39 ~multiply(c3,multiply(a3,b3))=multiply(a3,multiply(b3,c3))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f146,f10])).
% 0.12/0.39 fof(f253,plain,(
% 0.12/0.39 ![X0,X1]: (inverse(divide(X0,X1))=divide(X1,X0))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f80,f113])).
% 0.12/0.39 fof(f268,plain,(
% 0.12/0.39 ![X0,X1]: (divide(divide(X0,inverse(X1)),X1)=X0)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f253,f36])).
% 0.12/0.39 fof(f282,plain,(
% 0.12/0.39 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f106,f268])).
% 0.12/0.39 fof(f292,plain,(
% 0.12/0.39 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f146,f282])).
% 0.12/0.39 fof(f374,plain,(
% 0.12/0.39 ![X0,X1,X2]: (multiply(divide(X0,X1),X2)=divide(X2,divide(X1,X0)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f253,f106])).
% 0.12/0.39 fof(f375,plain,(
% 0.12/0.39 ![X0,X1,X2]: (multiply(X0,divide(X1,X2))=divide(X0,divide(X2,X1)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f253,f107])).
% 0.12/0.39 fof(f395,plain,(
% 0.12/0.39 ![X0,X1,X2]: (multiply(divide(X0,divide(multiply(X0,X1),X2)),X1)=X2)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f374,f84])).
% 0.12/0.39 fof(f417,plain,(
% 0.12/0.39 ![X0,X1,X2]: (multiply(multiply(X0,divide(X1,multiply(X0,X2))),X2)=X1)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f375,f395])).
% 0.12/0.39 fof(f537,plain,(
% 0.12/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X1,multiply(X0,X2)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f292,f417])).
% 0.12/0.39 fof(f600,plain,(
% 0.12/0.39 ![X0,X1,X2]: (divide(multiply(X0,X1),X2)=multiply(X1,multiply(X0,inverse(X2))))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f107,f537])).
% 0.12/0.39 fof(f628,plain,(
% 0.12/0.39 ![X0,X1,X2]: (divide(multiply(X0,X1),X2)=multiply(X1,divide(X0,X2)))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f107,f600])).
% 0.12/0.39 fof(f705,plain,(
% 0.12/0.39 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X2,divide(X1,inverse(X0))))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f106,f628])).
% 0.12/0.39 fof(f727,plain,(
% 0.12/0.39 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X2,multiply(X0,X1)))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f106,f705])).
% 0.12/0.39 fof(f728,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f240,f727])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 6.15/1.65 % Elapsed time: 1.067688 seconds
% 6.15/1.65 % CPU time: 0.090127 seconds
% 6.15/1.65 % Total memory used: 2.223 MB
% 6.15/1.65 % Net memory used: 1.977 MB
%------------------------------------------------------------------------------