%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP564-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 12:36:49 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP564-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:16:54 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,axiom,(
% 0.12/0.37 (![A,B,C]: (divide(divide(divide(A,inverse(B)),C),divide(A,C)) = B ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,axiom,(
% 0.12/0.37 (![A,B]: (multiply(A,B) = divide(A,inverse(B)) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f3,negated_conjecture,(
% 0.12/0.37 multiply(a,b) != multiply(b,a) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f4,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2))=X1)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.37 fof(f5,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.37 fof(f6,plain,(
% 0.12/0.37 ~multiply(a,b)=multiply(b,a)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.37 fof(f10,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(divide(multiply(X0,X1),X2),divide(X0,X2))=X1)),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.12/0.37 fof(f11,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2)))=X1)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f5,f10])).
% 0.12/0.37 fof(f12,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (divide(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X1)=X3)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f10,f10])).
% 0.12/0.37 fof(f14,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(multiply(multiply(X0,X1),X2),multiply(X0,X2))=X1)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f5,f11])).
% 0.12/0.37 fof(f16,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(X0,divide(multiply(X1,X0),multiply(X1,X2)))=X2)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f14,f10])).
% 0.12/0.37 fof(f17,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (divide(divide(multiply(multiply(multiply(X0,X1),X2),X3),multiply(X0,X2)),X1)=X3)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f14,f10])).
% 0.12/0.37 fof(f19,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (divide(divide(multiply(X0,X1),divide(multiply(X2,X0),multiply(X2,X3))),X3)=X1)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f16,f10])).
% 0.12/0.37 fof(f37,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (multiply(divide(multiply(multiply(multiply(X0,inverse(X1)),X2),X3),multiply(X0,X2)),X1)=X3)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f5,f17])).
% 0.12/0.37 fof(f41,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (multiply(divide(multiply(X0,X1),divide(multiply(X2,X0),multiply(X2,inverse(X3)))),X3)=X1)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f5,f19])).
% 0.12/0.37 fof(f47,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (divide(divide(X0,divide(multiply(multiply(X1,inverse(X2)),X3),multiply(X1,X3))),X0)=X2)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f37,f12])).
% 0.12/0.37 fof(f62,plain,(
% 0.12/0.37 ![X0,X1]: (divide(divide(X0,inverse(X1)),X0)=X1)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f14,f47])).
% 0.12/0.37 fof(f63,plain,(
% 0.12/0.37 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f5,f62])).
% 0.12/0.37 fof(f69,plain,(
% 0.12/0.37 ![X0,X1]: (divide(X0,divide(X1,X1))=X0)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f63,f10])).
% 0.12/0.37 fof(f74,plain,(
% 0.12/0.37 ![X0,X1]: (X0=multiply(divide(X1,X1),X0))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f63,f69])).
% 0.12/0.37 fof(f115,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(X0,divide(multiply(divide(X1,X1),X0),X2))=X2)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f74,f16])).
% 0.12/0.37 fof(f128,plain,(
% 0.12/0.37 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f74,f115])).
% 0.12/0.37 fof(f140,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(X0,X1)=divide(multiply(X2,X0),multiply(X2,X1)))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f16,f128])).
% 0.12/0.37 fof(f168,plain,(
% 0.12/0.37 ![X0,X1,X2]: (multiply(divide(multiply(X0,X1),divide(X0,inverse(X2))),X2)=X1)),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f140,f41])).
% 0.12/0.37 fof(f188,plain,(
% 0.12/0.37 ![X0,X1,X2]: (multiply(divide(multiply(X0,X1),multiply(X0,X2)),X2)=X1)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f5,f168])).
% 0.12/0.37 fof(f189,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f140,f188])).
% 0.12/0.37 fof(f309,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f63,f189])).
% 0.12/0.37 fof(f344,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(backward_subsumption_resolution,[status(thm)],[f6,f309])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.032004 seconds
% 0.12/0.39 % CPU time: 0.101822 seconds
% 0.12/0.39 % Total memory used: 5.706 MB
% 0.12/0.39 % Net memory used: 5.617 MB
%------------------------------------------------------------------------------