%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP063-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 12:35:34 PM UTC 2026
% Result : Unsatisfiable 0.15s 15.65s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP063-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/15.59 % Computer : n010.cluster.edu
% 0.09/15.59 % Model : x86_64 x86_64
% 0.09/15.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.59 % Memory : 8046.5625MB
% 0.09/15.59 % OS : Linux 6.8.0-71-generic
% 0.09/15.59 % CPULimit : 300
% 0.09/15.59 % WCLimit : 300
% 0.09/15.59 % DateTime : Sun Sep 20 19:56:45 UTC 2026
% 0.09/15.59 % CPUTime :
% 0.15/15.60 % Drodi V4.1.1
% 0.15/15.65 % Refutation found
% 0.15/15.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/15.65 % SZS output start CNFRefutation for theBenchmark
% 0.15/15.65 fof(f1,axiom,(
% 0.15/15.65 (![X,Y,Z]: (divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))) = Y ))),
% 0.15/15.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/15.65 fof(f2,axiom,(
% 0.15/15.65 (![X,Y,Z]: (multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)) ))),
% 0.15/15.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/15.65 fof(f3,axiom,(
% 0.15/15.65 (![X,Z]: (inverse(X) = divide(divide(Z,Z),X) ))),
% 0.15/15.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/15.65 fof(f4,negated_conjecture,(
% 0.15/15.65 ( 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)) ) ),
% 0.15/15.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/15.65 fof(f5,plain,(
% 0.15/15.65 ![X0,X1,X2]: (divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),X2)))=X1)),
% 0.15/15.65 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/15.65 fof(f6,plain,(
% 0.15/15.65 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.15/15.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/15.65 fof(f7,plain,(
% 0.15/15.65 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.15/15.65 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/15.65 fof(f8,plain,(
% 0.15/15.65 ~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))),
% 0.15/15.65 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/15.65 fof(f9,plain,(
% 0.15/15.65 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.15/15.65 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.15/15.65 fof(f10,plain,(
% 0.15/15.65 ![X0,X1,X2]: (divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2)))=X1)),
% 0.15/15.65 inference(backward_demodulation,[status(thm)],[f7,f5])).
% 0.15/15.65 fof(f11,plain,(
% 0.15/15.65 ![X0,X1,X2]: (divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2)))=X1)),
% 0.15/15.65 inference(forward_demodulation,[status(thm)],[f7,f10])).
% 0.15/15.65 fof(f12,plain,(
% 0.15/15.65 ![X0,X1]: (inverse(X0)=divide(inverse(divide(X1,X1)),X0))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f7,f7])).
% 0.15/15.65 fof(f13,plain,(
% 0.15/15.65 ![X0,X1]: (multiply(divide(X0,X0),X1)=inverse(inverse(X1)))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f7,f9])).
% 0.15/15.65 fof(f16,plain,(
% 0.15/15.65 ![X0,X1]: (multiply(inverse(divide(X0,X0)),X1)=inverse(inverse(X1)))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f7,f13])).
% 0.15/15.65 fof(f17,plain,(
% 0.15/15.65 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=inverse(inverse(X1)))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f9,f13])).
% 0.15/15.65 fof(f18,plain,(
% 0.15/15.65 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.15/15.65 inference(backward_demodulation,[status(thm)],[f17,f8])).
% 0.15/15.65 fof(f21,plain,(
% 0.15/15.65 ![X0,X1]: (inverse(X0)=divide(inverse(inverse(divide(X1,X1))),X0))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f7,f12])).
% 0.15/15.65 fof(f26,plain,(
% 0.15/15.65 ![X0,X1,X2]: (inverse(divide(divide(inverse(X0),X1),divide(inverse(inverse(divide(X2,X2))),X1)))=X0)),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f12,f11])).
% 0.15/15.65 fof(f28,plain,(
% 0.15/15.65 ![X0,X1]: (divide(X0,inverse(divide(inverse(X0),inverse(X1))))=X1)),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f7,f11])).
% 0.15/15.65 fof(f37,plain,(
% 0.15/15.65 ![X0,X1]: (inverse(divide(divide(inverse(X0),X1),inverse(X1)))=X0)),
% 0.15/15.65 inference(forward_demodulation,[status(thm)],[f21,f26])).
% 0.15/15.65 fof(f38,plain,(
% 0.15/15.65 ![X0,X1]: (inverse(multiply(divide(inverse(X0),X1),X1))=X0)),
% 0.15/15.65 inference(forward_demodulation,[status(thm)],[f9,f37])).
% 0.15/15.65 fof(f41,plain,(
% 0.15/15.65 ![X0,X1]: (multiply(X0,divide(inverse(X0),inverse(X1)))=X1)),
% 0.15/15.65 inference(forward_demodulation,[status(thm)],[f9,f28])).
% 0.15/15.65 fof(f42,plain,(
% 0.15/15.65 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.15/15.65 inference(forward_demodulation,[status(thm)],[f9,f41])).
% 0.15/15.65 fof(f51,plain,(
% 0.15/15.65 ![X0,X1]: (inverse(inverse(multiply(inverse(divide(X0,X0)),X1)))=X1)),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f13,f42])).
% 0.15/15.65 fof(f52,plain,(
% 0.15/15.65 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f42,f42])).
% 0.15/15.65 fof(f54,plain,(
% 0.15/15.65 ![X0]: (inverse(inverse(inverse(inverse(X0))))=X0)),
% 0.15/15.65 inference(forward_demodulation,[status(thm)],[f16,f51])).
% 0.15/15.65 fof(f60,plain,(
% 0.15/15.65 ![X0,X1]: (multiply(inverse(inverse(inverse(X0))),multiply(X0,X1))=X1)),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f54,f42])).
% 0.15/15.65 fof(f62,plain,(
% 0.15/15.65 ![X0,X1,X2]: (divide(X0,divide(divide(X1,X2),divide(inverse(X0),X2)))=inverse(inverse(inverse(X1))))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f54,f11])).
% 0.15/15.65 fof(f63,plain,(
% 0.15/15.65 ![X0,X1]: (multiply(X0,inverse(inverse(inverse(X1))))=divide(X0,X1))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f54,f9])).
% 0.15/15.65 fof(f64,plain,(
% 0.15/15.65 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 0.15/15.65 inference(forward_demodulation,[status(thm)],[f52,f60])).
% 0.15/15.65 fof(f81,plain,(
% 0.15/15.65 ![X0,X1]: (inverse(multiply(inverse(X0),X0))=divide(X1,X1))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f12,f38])).
% 0.15/15.65 fof(f87,plain,(
% 0.15/15.65 ![X0,X1]: (inverse(inverse(inverse(X0)))=multiply(divide(inverse(X0),X1),X1))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f38,f54])).
% 0.15/15.65 fof(f99,plain,(
% 0.15/15.65 ![X0,X1]: (divide(X0,X0)=divide(X1,X1))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f81,f81])).
% 0.15/15.65 fof(f129,plain,(
% 0.15/15.65 ![X0,X1]: (multiply(inverse(X0),X0)=divide(X1,X1))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f9,f99])).
% 0.15/15.65 fof(f203,plain,(
% 0.15/15.65 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f9,f129])).
% 0.15/15.65 fof(f211,plain,(
% 0.15/15.65 ![X0,X1]: (multiply(X0,divide(X1,X1))=X0)),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f129,f42])).
% 0.15/15.65 fof(f228,plain,(
% 0.15/15.65 ~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.15/15.65 inference(backward_subsumption_resolution,[status(thm)],[f18,f203])).
% 0.15/15.65 fof(f246,plain,(
% 0.15/15.65 ![X0,X1]: (multiply(X0,inverse(X0))=divide(X1,X1))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f211,f42])).
% 0.15/15.65 fof(f301,plain,(
% 0.15/15.65 ![X0,X1]: (multiply(X0,divide(X1,X1))=inverse(inverse(X0)))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f246,f42])).
% 0.15/15.65 fof(f325,plain,(
% 0.15/15.65 ~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.15/15.65 inference(backward_demodulation,[status(thm)],[f350,f228])).
% 0.15/15.65 fof(f339,plain,(
% 0.15/15.65 ![X0,X1]: (inverse(X0)=multiply(divide(inverse(X0),X1),X1))),
% 0.15/15.65 inference(backward_demodulation,[status(thm)],[f350,f87])).
% 0.15/15.65 fof(f341,plain,(
% 0.15/15.65 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.15/15.65 inference(backward_demodulation,[status(thm)],[f350,f63])).
% 0.15/15.65 fof(f342,plain,(
% 0.15/15.65 ![X0,X1,X2]: (divide(X0,divide(divide(X1,X2),divide(inverse(X0),X2)))=inverse(X1))),
% 0.15/15.65 inference(backward_demodulation,[status(thm)],[f350,f62])).
% 0.15/15.65 fof(f350,plain,(
% 0.15/15.65 ![X0]: (X0=inverse(inverse(X0)))),
% 0.15/15.65 inference(forward_demodulation,[status(thm)],[f211,f301])).
% 0.15/15.65 fof(f354,plain,(
% 0.15/15.65 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.15/15.65 inference(trivial_equality_resolution,[status(thm)],[f325])).
% 0.15/15.65 fof(f483,plain,(
% 0.15/15.65 ![X0,X1]: (inverse(inverse(X0))=multiply(divide(X0,X1),X1))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f350,f339])).
% 0.15/15.65 fof(f498,plain,(
% 0.15/15.65 ![X0,X1]: (X0=multiply(divide(X0,X1),X1))),
% 0.15/15.65 inference(forward_demodulation,[status(thm)],[f350,f483])).
% 0.15/15.65 fof(f504,plain,(
% 0.15/15.65 ![X0,X1]: (X0=divide(divide(X0,inverse(X1)),X1))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f341,f498])).
% 0.15/15.65 fof(f521,plain,(
% 0.15/15.65 ![X0,X1]: (X0=divide(multiply(X0,X1),X1))),
% 0.15/15.65 inference(forward_demodulation,[status(thm)],[f9,f504])).
% 0.15/15.65 fof(f529,plain,(
% 0.15/15.65 ![X0,X1]: (inverse(X0)=divide(X1,multiply(X0,X1)))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f64,f521])).
% 0.15/15.65 fof(f546,plain,(
% 0.15/15.65 ![X0,X1]: (inverse(divide(X0,X1))=divide(X1,X0))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f498,f529])).
% 0.15/15.65 fof(f581,plain,(
% 0.15/15.65 ![X0,X1]: (inverse(multiply(X0,X1))=divide(inverse(X1),X0))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f9,f546])).
% 0.15/15.65 fof(f604,plain,(
% 0.15/15.65 ![X0,X1,X2]: (divide(X0,divide(divide(X1,X2),inverse(multiply(X2,X0))))=inverse(X1))),
% 0.15/15.65 inference(backward_demodulation,[status(thm)],[f581,f342])).
% 0.15/15.65 fof(f624,plain,(
% 0.15/15.65 ![X0,X1,X2]: (divide(X0,multiply(divide(X1,X2),multiply(X2,X0)))=inverse(X1))),
% 0.15/15.65 inference(forward_demodulation,[status(thm)],[f9,f604])).
% 0.15/15.65 fof(f844,plain,(
% 0.15/15.65 ![X0,X1,X2]: (inverse(inverse(X0))=divide(multiply(divide(X0,X1),multiply(X1,X2)),X2))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f624,f546])).
% 0.15/15.65 fof(f906,plain,(
% 0.15/15.65 ![X0,X1,X2]: (X0=divide(multiply(divide(X0,X1),multiply(X1,X2)),X2))),
% 0.15/15.65 inference(forward_demodulation,[status(thm)],[f350,f844])).
% 0.15/15.65 fof(f918,plain,(
% 0.15/15.65 ![X0,X1,X2]: (multiply(X0,X1)=divide(multiply(X0,multiply(X1,X2)),X2))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f521,f906])).
% 0.15/15.65 fof(f1017,plain,(
% 0.15/15.65 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 0.15/15.65 inference(paramodulation,[status(thm)],[f918,f498])).
% 0.15/15.65 fof(f1062,plain,(
% 0.15/15.65 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.15/15.65 inference(backward_demodulation,[status(thm)],[f1017,f354])).
% 0.15/15.65 fof(f1075,plain,(
% 0.15/15.65 $false),
% 0.15/15.65 inference(trivial_equality_resolution,[status(thm)],[f1062])).
% 0.15/15.65 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/15.66 % Elapsed time: 0.063433 seconds
% 0.15/15.66 % CPU time: 0.322179 seconds
% 0.15/15.66 % Total memory used: 67.370 MB
% 0.15/15.66 % Net memory used: 66.842 MB
%------------------------------------------------------------------------------