%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP065-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 12:35:35 PM UTC 2026
% Result : Unsatisfiable 1.04s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP065-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 19:58:44 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 1.04/0.57 % Refutation found
% 1.04/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.04/0.57 % SZS output start CNFRefutation for theBenchmark
% 1.04/0.57 fof(f1,axiom,(
% 1.04/0.57 (![X,Y,Z]: (divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z) = Y ))),
% 1.04/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.57 fof(f2,axiom,(
% 1.04/0.57 (![X,Y,Z]: (multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)) ))),
% 1.04/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.57 fof(f3,axiom,(
% 1.04/0.57 (![X,Z]: (inverse(X) = divide(divide(Z,Z),X) ))),
% 1.04/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.57 fof(f4,negated_conjecture,(
% 1.04/0.57 ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)| multiply(multiply(inverse(b2),b2),a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
% 1.04/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.57 fof(f5,plain,(
% 1.04/0.57 ![X0,X1,X2]: (divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2)=X1)),
% 1.04/0.57 inference(cnf_transformation,[status(thm)],[f1])).
% 1.04/0.57 fof(f6,plain,(
% 1.04/0.57 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 1.04/0.57 inference(cnf_transformation,[status(thm)],[f2])).
% 1.04/0.57 fof(f7,plain,(
% 1.04/0.57 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 1.04/0.57 inference(cnf_transformation,[status(thm)],[f3])).
% 1.04/0.57 fof(f8,plain,(
% 1.04/0.57 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 1.04/0.57 inference(cnf_transformation,[status(thm)],[f4])).
% 1.04/0.57 fof(f9,plain,(
% 1.04/0.57 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2)=X1)),
% 1.04/0.57 inference(backward_demodulation,[status(thm)],[f7,f5])).
% 1.04/0.57 fof(f10,plain,(
% 1.04/0.57 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 1.04/0.57 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 1.04/0.57 fof(f11,plain,(
% 1.04/0.57 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2)=X1)),
% 1.04/0.57 inference(forward_demodulation,[status(thm)],[f7,f9])).
% 1.04/0.57 fof(f12,plain,(
% 1.04/0.57 ![X0,X1]: (inverse(X0)=divide(inverse(divide(X1,X1)),X0))),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f7,f7])).
% 1.04/0.57 fof(f13,plain,(
% 1.04/0.57 ![X0,X1]: (multiply(divide(X0,X0),X1)=inverse(inverse(X1)))),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f7,f10])).
% 1.04/0.57 fof(f16,plain,(
% 1.04/0.57 ![X0,X1]: (inverse(inverse(X0))=multiply(inverse(divide(X1,X1)),X0))),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f10,f12])).
% 1.04/0.57 fof(f18,plain,(
% 1.04/0.57 ![X0,X1]: (inverse(X0)=divide(inverse(inverse(divide(X1,X1))),X0))),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f7,f12])).
% 1.04/0.57 fof(f24,plain,(
% 1.04/0.57 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=inverse(inverse(X1)))),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f10,f13])).
% 1.04/0.57 fof(f25,plain,(
% 1.04/0.57 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 1.04/0.57 inference(backward_demodulation,[status(thm)],[f24,f8])).
% 1.04/0.57 fof(f26,plain,(
% 1.04/0.57 ![X0,X1,X2]: (multiply(inverse(divide(X0,divide(X1,divide(inverse(X0),inverse(X2))))),X2)=X1)),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f10,f11])).
% 1.04/0.57 fof(f27,plain,(
% 1.04/0.57 ![X0,X1,X2]: (divide(inverse(inverse(divide(X0,divide(inverse(inverse(divide(X1,X1))),X2)))),X2)=X0)),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f12,f11])).
% 1.04/0.57 fof(f29,plain,(
% 1.04/0.57 ![X0,X1,X2,X3]: (divide(inverse(divide(X0,X1)),X2)=inverse(divide(X3,divide(X1,divide(inverse(X3),divide(inverse(X0),X2))))))),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f11,f11])).
% 1.04/0.57 fof(f36,plain,(
% 1.04/0.57 ![X0,X1,X2]: (multiply(inverse(divide(X0,divide(X1,multiply(inverse(X0),X2)))),X2)=X1)),
% 1.04/0.57 inference(forward_demodulation,[status(thm)],[f10,f26])).
% 1.04/0.57 fof(f37,plain,(
% 1.04/0.57 ![X0,X1]: (divide(inverse(inverse(divide(X0,inverse(X1)))),X1)=X0)),
% 1.04/0.57 inference(forward_demodulation,[status(thm)],[f18,f27])).
% 1.04/0.57 fof(f38,plain,(
% 1.04/0.57 ![X0,X1]: (divide(inverse(inverse(multiply(X0,X1))),X1)=X0)),
% 1.04/0.57 inference(forward_demodulation,[status(thm)],[f10,f37])).
% 1.04/0.57 fof(f57,plain,(
% 1.04/0.57 ![X0,X1]: (multiply(inverse(inverse(multiply(X0,inverse(X1)))),X1)=X0)),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f10,f38])).
% 1.04/0.57 fof(f58,plain,(
% 1.04/0.57 ![X0,X1]: (divide(inverse(inverse(inverse(inverse(X0)))),X0)=divide(X1,X1))),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f13,f38])).
% 1.04/0.57 fof(f63,plain,(
% 1.04/0.57 ![X0,X1]: (inverse(inverse(X0))=multiply(inverse(inverse(inverse(divide(X1,X1)))),X0))),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f12,f16])).
% 1.04/0.57 fof(f67,plain,(
% 1.04/0.57 ![X0,X1]: (divide(inverse(inverse(inverse(inverse(X0)))),X0)=inverse(divide(X1,X1)))),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f16,f38])).
% 1.04/0.57 fof(f105,plain,(
% 1.04/0.57 ![X0,X1]: (multiply(inverse(inverse(inverse(inverse(inverse(X0))))),X0)=multiply(inverse(X1),X1))),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f24,f57])).
% 1.04/0.57 fof(f109,plain,(
% 1.04/0.57 ![X0,X1]: (divide(inverse(inverse(X0)),X1)=inverse(inverse(multiply(X0,inverse(X1)))))),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f57,f38])).
% 1.04/0.57 fof(f110,plain,(
% 1.04/0.57 ![X0,X1]: (multiply(divide(inverse(inverse(X0)),X1),X1)=X0)),
% 1.04/0.57 inference(backward_demodulation,[status(thm)],[f109,f57])).
% 1.04/0.57 fof(f112,plain,(
% 1.04/0.57 ![X0]: (inverse(inverse(inverse(inverse(X0))))=X0)),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f13,f110])).
% 1.04/0.57 fof(f124,plain,(
% 1.04/0.57 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 1.04/0.57 inference(backward_demodulation,[status(thm)],[f112,f105])).
% 1.04/0.57 fof(f126,plain,(
% 1.04/0.57 ![X0,X1]: (divide(X0,X0)=inverse(divide(X1,X1)))),
% 1.04/0.57 inference(backward_demodulation,[status(thm)],[f112,f67])).
% 1.04/0.57 fof(f127,plain,(
% 1.04/0.57 ![X0,X1]: (divide(X0,X0)=divide(X1,X1))),
% 1.04/0.57 inference(backward_demodulation,[status(thm)],[f112,f58])).
% 1.04/0.57 fof(f128,plain,(
% 1.04/0.57 ~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 1.04/0.57 inference(backward_subsumption_resolution,[status(thm)],[f25,f124])).
% 1.04/0.57 fof(f180,plain,(
% 1.04/0.57 ![X0,X1]: (multiply(divide(X0,X1),X1)=inverse(inverse(X0)))),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f112,f110])).
% 1.04/0.57 fof(f291,plain,(
% 1.04/0.57 ![X0,X1,X2]: (multiply(inverse(divide(X0,X1)),X2)=inverse(inverse(multiply(X1,multiply(inverse(X0),X2)))))),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f38,f36])).
% 1.04/0.57 fof(f588,plain,(
% 1.04/0.57 ![X0,X1,X2,X3]: (divide(inverse(divide(X0,divide(inverse(X1),divide(inverse(X0),X2)))),X2)=inverse(divide(X1,inverse(divide(X3,X3)))))),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f126,f29])).
% 1.04/0.57 fof(f590,plain,(
% 1.04/0.57 ![X0,X1,X2,X3]: (divide(inverse(divide(X0,divide(inverse(X1),divide(inverse(X0),X2)))),X2)=inverse(divide(X1,divide(X3,X3))))),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f127,f29])).
% 1.04/0.57 fof(f664,plain,(
% 1.04/0.57 ![X0,X1]: (inverse(X0)=inverse(divide(X0,inverse(divide(X1,X1)))))),
% 1.04/0.57 inference(forward_demodulation,[status(thm)],[f11,f588])).
% 1.04/0.57 fof(f667,plain,(
% 1.04/0.57 ![X0,X1]: (inverse(X0)=inverse(multiply(X0,divide(X1,X1))))),
% 1.04/0.57 inference(forward_demodulation,[status(thm)],[f10,f664])).
% 1.04/0.57 fof(f673,plain,(
% 1.04/0.57 ![X0,X1]: (inverse(X0)=inverse(divide(X0,divide(X1,X1))))),
% 1.04/0.57 inference(forward_demodulation,[status(thm)],[f11,f590])).
% 1.04/0.57 fof(f869,plain,(
% 1.04/0.57 ![X0,X1]: (inverse(divide(X0,divide(X1,X1)))=inverse(inverse(inverse(X0))))),
% 1.04/0.57 inference(paramodulation,[status(thm)],[f180,f667])).
% 1.04/0.57 fof(f897,plain,(
% 1.04/0.57 ![X0]: (inverse(inverse(X0))=X0)),
% 1.04/0.57 inference(backward_demodulation,[status(thm)],[f919,f112])).
% 1.04/0.57 fof(f911,plain,(
% 1.04/0.57 ![X0,X1]: (inverse(inverse(X0))=multiply(inverse(divide(X1,X1)),X0))),
% 1.04/0.57 inference(backward_demodulation,[status(thm)],[f919,f63])).
% 1.04/0.57 fof(f919,plain,(
% 1.04/0.57 ![X0]: (inverse(X0)=inverse(inverse(inverse(X0))))),
% 1.04/0.57 inference(forward_demodulation,[status(thm)],[f673,f869])).
% 1.04/0.57 fof(f939,plain,(
% 1.04/0.57 ~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 1.04/0.57 inference(backward_demodulation,[status(thm)],[f897,f128])).
% 1.04/0.57 fof(f942,plain,(
% 1.04/0.57 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 1.04/0.57 inference(backward_demodulation,[status(thm)],[f897,f38])).
% 1.04/0.57 fof(f943,plain,(
% 1.04/0.57 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 1.04/0.57 inference(backward_demodulation,[status(thm)],[f897,f180])).
% 1.04/0.57 fof(f955,plain,(
% 1.04/0.57 ![X0,X1,X2]: (multiply(inverse(divide(X0,X1)),X2)=multiply(X1,multiply(inverse(X0),X2)))),
% 1.04/0.57 inference(backward_demodulation,[status(thm)],[f897,f291])).
% 1.04/0.57 fof(f978,plain,(
% 1.04/0.57 ![X0,X1]: (X0=multiply(inverse(divide(X1,X1)),X0))),
% 1.04/0.57 inference(forward_demodulation,[status(thm)],[f897,f911])).
% 1.04/0.57 fof(f998,plain,(
% 1.04/0.57 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 1.04/0.57 inference(trivial_equality_resolution,[status(thm)],[f939])).
% 1.04/0.58 fof(f1004,plain,(
% 1.04/0.58 ![X0,X1]: (X0=multiply(X1,multiply(inverse(X1),X0)))),
% 1.04/0.58 inference(backward_demodulation,[status(thm)],[f955,f978])).
% 1.04/0.58 fof(f1412,plain,(
% 1.04/0.58 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 1.04/0.58 inference(paramodulation,[status(thm)],[f897,f1004])).
% 1.04/0.58 fof(f1457,plain,(
% 1.04/0.58 ![X0,X1]: (divide(X0,multiply(X1,X0))=inverse(X1))),
% 1.04/0.58 inference(paramodulation,[status(thm)],[f1412,f942])).
% 1.04/0.58 fof(f1479,plain,(
% 1.04/0.58 ![X0,X1]: (divide(X0,X1)=inverse(divide(X1,X0)))),
% 1.04/0.58 inference(paramodulation,[status(thm)],[f943,f1457])).
% 1.04/0.58 fof(f1506,plain,(
% 1.04/0.58 ![X0,X1,X2]: (multiply(divide(X0,X1),X2)=multiply(X0,multiply(inverse(X1),X2)))),
% 1.04/0.58 inference(backward_demodulation,[status(thm)],[f1479,f955])).
% 1.04/0.58 fof(f1894,plain,(
% 1.04/0.58 ![X0,X1,X2]: (multiply(divide(X0,inverse(X1)),X2)=multiply(X0,multiply(X1,X2)))),
% 1.04/0.58 inference(paramodulation,[status(thm)],[f897,f1506])).
% 1.04/0.58 fof(f1954,plain,(
% 1.04/0.58 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 1.04/0.58 inference(backward_demodulation,[status(thm)],[f1957,f998])).
% 1.04/0.58 fof(f1957,plain,(
% 1.04/0.58 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 1.04/0.58 inference(forward_demodulation,[status(thm)],[f10,f1894])).
% 1.04/0.58 fof(f2005,plain,(
% 1.04/0.58 $false),
% 1.04/0.58 inference(trivial_equality_resolution,[status(thm)],[f1954])).
% 1.04/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 1.04/0.58 % Elapsed time: 0.204732 seconds
% 1.04/0.58 % CPU time: 1.370456 seconds
% 1.04/0.58 % Total memory used: 85.058 MB
% 1.04/0.58 % Net memory used: 83.949 MB
%------------------------------------------------------------------------------