%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP523-1 : 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 12:36:45 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.66s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP523-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.57 % Computer : n020.cluster.edu
% 0.10/5.57 % Model : x86_64 x86_64
% 0.10/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.57 % Memory : 8046.5625MB
% 0.10/5.57 % OS : Linux 6.8.0-71-generic
% 0.10/5.57 % CPULimit : 300
% 0.10/5.57 % WCLimit : 300
% 0.10/5.57 % DateTime : Sun Sep 20 20:16:40 UTC 2026
% 0.10/5.57 % CPUTime :
% 0.10/5.58 % Drodi V4.1.1
% 0.14/5.66 % Refutation found
% 0.14/5.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.66 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.66 fof(f1,axiom,(
% 0.14/5.66 (![A,B,C]: (divide(A,divide(B,divide(C,divide(A,B)))) = C ))),
% 0.14/5.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.66 fof(f2,axiom,(
% 0.14/5.66 (![A,B,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.14/5.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.66 fof(f3,axiom,(
% 0.14/5.66 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.14/5.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.66 fof(f4,negated_conjecture,(
% 0.14/5.66 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.14/5.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.66 fof(f5,plain,(
% 0.14/5.66 ![X0,X1,X2]: (divide(X0,divide(X1,divide(X2,divide(X0,X1))))=X2)),
% 0.14/5.66 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.66 fof(f6,plain,(
% 0.14/5.66 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.14/5.66 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.66 fof(f7,plain,(
% 0.14/5.66 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.14/5.66 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.66 fof(f8,plain,(
% 0.14/5.66 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.14/5.66 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.66 fof(f14,plain,(
% 0.14/5.66 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.14/5.66 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.14/5.66 fof(f15,plain,(
% 0.14/5.66 ![X0,X1]: (inverse(inverse(X0))=multiply(divide(X1,X1),X0))),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f14,f7])).
% 0.14/5.66 fof(f48,plain,(
% 0.14/5.66 ![X0,X1,X2]: (divide(X0,inverse(divide(X1,divide(X0,divide(X2,X2)))))=X1)),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.14/5.66 fof(f51,plain,(
% 0.14/5.66 ![X0,X1,X2]: (divide(X0,divide(X1,inverse(divide(X0,X1))))=divide(X2,X2))),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.14/5.66 fof(f57,plain,(
% 0.14/5.66 ![X0,X1,X2]: (divide(X0,divide(inverse(X1),divide(X2,multiply(X0,X1))))=X2)),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f14,f5])).
% 0.14/5.66 fof(f70,plain,(
% 0.14/5.66 ![X0,X1,X2]: (multiply(X0,divide(X1,divide(X0,divide(X2,X2))))=X1)),
% 0.14/5.66 inference(forward_demodulation,[status(thm)],[f14,f48])).
% 0.14/5.66 fof(f73,plain,(
% 0.14/5.66 ![X0,X1,X2]: (divide(X0,multiply(X1,divide(X0,X1)))=divide(X2,X2))),
% 0.14/5.66 inference(forward_demodulation,[status(thm)],[f14,f51])).
% 0.14/5.66 fof(f119,plain,(
% 0.14/5.66 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f5,f70])).
% 0.14/5.66 fof(f142,plain,(
% 0.14/5.66 ![X0,X1]: (divide(X0,X0)=divide(X1,X1))),
% 0.14/5.66 inference(backward_demodulation,[status(thm)],[f119,f73])).
% 0.14/5.66 fof(f174,plain,(
% 0.14/5.66 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f14,f119])).
% 0.14/5.66 fof(f198,plain,(
% 0.14/5.66 ![X0,X1,X2]: (divide(X0,divide(inverse(divide(X1,X0)),divide(X2,X1)))=X2)),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f119,f57])).
% 0.14/5.66 fof(f262,plain,(
% 0.14/5.66 ![X0,X1,X2]: (divide(X0,divide(X1,divide(X2,X2)))=divide(X0,X1))),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f142,f5])).
% 0.14/5.66 fof(f264,plain,(
% 0.14/5.66 ![X0,X1]: (multiply(X0,divide(X1,X1))=X0)),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f142,f119])).
% 0.14/5.66 fof(f267,plain,(
% 0.14/5.66 ![X0,X1,X2]: (divide(X0,divide(X0,divide(X1,divide(X2,X2))))=X1)),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f142,f5])).
% 0.14/5.66 fof(f277,plain,(
% 0.14/5.66 ![X0,X1,X2]: (multiply(X0,divide(X1,X1))=divide(X0,divide(X2,X2)))),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f142,f70])).
% 0.14/5.66 fof(f278,plain,(
% 0.14/5.66 ![X0,X1,X2]: (multiply(divide(X0,X0),divide(X1,divide(X2,X2)))=X1)),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f142,f70])).
% 0.14/5.66 fof(f297,plain,(
% 0.14/5.66 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.14/5.66 inference(forward_demodulation,[status(thm)],[f262,f267])).
% 0.14/5.66 fof(f305,plain,(
% 0.14/5.66 ![X0,X1]: (X0=divide(X0,divide(X1,X1)))),
% 0.14/5.66 inference(forward_demodulation,[status(thm)],[f264,f277])).
% 0.14/5.66 fof(f306,plain,(
% 0.14/5.66 ![X0,X1]: (inverse(inverse(divide(X0,divide(X1,X1))))=X0)),
% 0.14/5.66 inference(forward_demodulation,[status(thm)],[f15,f278])).
% 0.14/5.66 fof(f328,plain,(
% 0.14/5.66 ![X0]: (inverse(inverse(X0))=X0)),
% 0.14/5.66 inference(forward_demodulation,[status(thm)],[f305,f306])).
% 0.14/5.66 fof(f349,plain,(
% 0.14/5.66 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f328,f14])).
% 0.14/5.66 fof(f495,plain,(
% 0.14/5.66 ![X0,X1,X2]: (divide(X0,X1)=divide(X2,divide(X1,divide(X0,X2))))),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f5,f297])).
% 0.14/5.66 fof(f510,plain,(
% 0.14/5.66 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f297,f119])).
% 0.14/5.66 fof(f816,plain,(
% 0.14/5.66 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f14,f510])).
% 0.14/5.66 fof(f824,plain,(
% 0.14/5.66 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.14/5.66 inference(forward_demodulation,[status(thm)],[f349,f816])).
% 0.14/5.66 fof(f838,plain,(
% 0.14/5.66 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f824,f119])).
% 0.14/5.66 fof(f971,plain,(
% 0.14/5.66 ![X0,X1]: (multiply(inverse(X0),X1)=divide(X1,X0))),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f510,f174])).
% 0.14/5.66 fof(f1082,plain,(
% 0.14/5.66 ![X0,X1]: (divide(X0,X1)=inverse(divide(X1,X0)))),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f297,f198])).
% 0.14/5.66 fof(f1292,plain,(
% 0.14/5.66 ![X0,X1,X2]: (divide(X0,divide(X1,X2))=divide(X2,divide(X1,X0)))),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f495,f297])).
% 0.14/5.66 fof(f1389,plain,(
% 0.14/5.66 ![X0,X1,X2]: (multiply(divide(X0,X1),X2)=divide(X2,divide(X1,X0)))),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f1082,f971])).
% 0.14/5.66 fof(f1390,plain,(
% 0.14/5.66 ![X0,X1,X2]: (multiply(X0,divide(X1,X2))=divide(X0,divide(X2,X1)))),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f1082,f349])).
% 0.14/5.66 fof(f1412,plain,(
% 0.14/5.66 ![X0,X1,X2]: (divide(X0,divide(X1,X2))=multiply(divide(X0,X1),X2))),
% 0.14/5.66 inference(backward_demodulation,[status(thm)],[f1389,f1292])).
% 0.14/5.66 fof(f1440,plain,(
% 0.14/5.66 ![X0,X1,X2]: (multiply(X0,divide(X1,X2))=multiply(divide(X0,X2),X1))),
% 0.14/5.66 inference(forward_demodulation,[status(thm)],[f1390,f1412])).
% 0.14/5.66 fof(f1580,plain,(
% 0.14/5.66 ![X0,X1,X2]: (multiply(X0,divide(X1,inverse(X2)))=multiply(multiply(X0,X2),X1))),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f14,f1440])).
% 0.14/5.66 fof(f1605,plain,(
% 0.14/5.66 ~multiply(a3,multiply(c3,b3))=multiply(a3,multiply(b3,c3))),
% 0.14/5.66 inference(backward_demodulation,[status(thm)],[f1611,f8])).
% 0.14/5.66 fof(f1611,plain,(
% 0.14/5.66 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X2),X1))),
% 0.14/5.66 inference(forward_demodulation,[status(thm)],[f14,f1580])).
% 0.14/5.66 fof(f1637,plain,(
% 0.14/5.66 ~multiply(a3,multiply(c3,b3))=multiply(a3,multiply(c3,b3))),
% 0.14/5.66 inference(paramodulation,[status(thm)],[f838,f1605])).
% 0.14/5.66 fof(f1639,plain,(
% 0.14/5.66 $false),
% 0.14/5.66 inference(trivial_equality_resolution,[status(thm)],[f1637])).
% 0.14/5.66 % SZS output end CNFRefutation for theBenchmark.p
% 9.37/6.90 % Elapsed time: 1.097884 seconds
% 9.37/6.90 % CPU time: 0.309133 seconds
% 9.37/6.90 % Total memory used: 9.869 MB
% 9.37/6.90 % Net memory used: 9.143 MB
%------------------------------------------------------------------------------