%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP556-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP556-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 20:22:14 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,axiom,(
% 0.14/0.38 (![A,B,C]: (divide(divide(A,inverse(divide(B,divide(A,C)))),C) = B ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,axiom,(
% 0.14/0.38 (![A,B]: (multiply(A,B) = divide(A,inverse(B)) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,negated_conjecture,(
% 0.14/0.38 multiply(a,b) != multiply(b,a) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f4,plain,(
% 0.14/0.38 ![X0,X1,X2]: (divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2)=X1)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.38 fof(f5,plain,(
% 0.14/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.38 fof(f6,plain,(
% 0.14/0.38 ~multiply(a,b)=multiply(b,a)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.38 fof(f10,plain,(
% 0.14/0.38 ![X0,X1,X2]: (divide(multiply(X0,divide(X1,divide(X0,X2))),X2)=X1)),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.14/0.38 fof(f11,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(multiply(X0,divide(X1,divide(X0,inverse(X2)))),X2)=X1)),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f5,f10])).
% 0.14/0.38 fof(f12,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (divide(multiply(X0,X1),X2)=multiply(X3,divide(X1,divide(X3,divide(X0,X2)))))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f10,f10])).
% 0.14/0.38 fof(f16,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(multiply(X0,divide(X1,multiply(X0,X2))),X2)=X1)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f5,f11])).
% 0.14/0.38 fof(f19,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),X2)=multiply(X3,divide(X1,divide(X3,multiply(X0,X2)))))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f10,f16])).
% 0.14/0.38 fof(f20,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (multiply(multiply(multiply(X0,divide(X1,multiply(X0,X2))),divide(X3,X1)),X2)=X3)),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f16,f16])).
% 0.14/0.38 fof(f32,plain,(
% 0.14/0.38 ![X0,X1,X2,X3,X4]: (divide(multiply(X0,X1),X2)=multiply(multiply(X3,divide(X4,divide(X3,divide(X0,X2)))),divide(X1,X4)))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f10,f12])).
% 0.14/0.38 fof(f39,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (divide(multiply(X0,X1),X2)=multiply(divide(multiply(X0,X3),X2),divide(X1,X3)))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f12,f32])).
% 0.14/0.38 fof(f81,plain,(
% 0.14/0.38 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f16,f20])).
% 0.14/0.38 fof(f105,plain,(
% 0.14/0.38 ![X0,X1,X2,X3,X4]: (divide(multiply(X0,multiply(X1,divide(X2,divide(X1,X3)))),X4)=multiply(divide(multiply(X0,X3),X4),X2))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f10,f39])).
% 0.14/0.38 fof(f115,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X2,divide(X1,divide(X2,X0))))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f10,f81])).
% 0.14/0.38 fof(f128,plain,(
% 0.14/0.38 ![X0,X1,X2]: (divide(multiply(X0,X1),X2)=multiply(divide(X0,X2),X1))),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f115,f12])).
% 0.14/0.38 fof(f129,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(multiply(X0,X2),X1))),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f115,f19])).
% 0.14/0.38 fof(f130,plain,(
% 0.14/0.38 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f115,f10])).
% 0.14/0.38 fof(f133,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (divide(multiply(X0,multiply(X1,X2)),X3)=multiply(divide(multiply(X0,X1),X3),X2))),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f115,f105])).
% 0.14/0.38 fof(f161,plain,(
% 0.14/0.38 ![X0,X1]: (multiply(divide(X0,X0),X1)=X1)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f128,f130])).
% 0.14/0.38 fof(f163,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (multiply(divide(X0,X1),multiply(X2,X3))=multiply(divide(multiply(X0,X2),X1),X3))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f128,f133])).
% 0.14/0.38 fof(f164,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (multiply(divide(X0,X1),multiply(X2,X3))=multiply(multiply(divide(X0,X1),X2),X3))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f128,f163])).
% 0.14/0.38 fof(f250,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(X0,X1)=multiply(multiply(divide(X2,X2),X1),X0))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f161,f129])).
% 0.14/0.38 fof(f274,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(X0,X1)=multiply(divide(X2,X2),multiply(X1,X0)))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f164,f250])).
% 0.14/0.39 fof(f276,plain,(
% 0.14/0.39 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f161,f274])).
% 0.14/0.39 fof(f277,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f6,f276])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.038255 seconds
% 0.14/0.41 % CPU time: 0.071269 seconds
% 0.14/0.41 % Total memory used: 3.329 MB
% 0.14/0.41 % Net memory used: 3.246 MB
%------------------------------------------------------------------------------