%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP544-1 : 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 : n009.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 12:36:47 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP544-1 : 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 : n009.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
% 0.11/0.37 % DateTime : Sun Sep 20 20:16:28 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f1,axiom,(
% 0.11/0.38 (![A,B,C]: (divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = B ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f2,axiom,(
% 0.11/0.38 (![A,B]: (multiply(A,B) = divide(A,divide(identity,B)) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f3,axiom,(
% 0.11/0.38 (![A]: (inverse(A) = divide(identity,A) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f4,axiom,(
% 0.11/0.38 (![A]: (identity = divide(A,A) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f5,negated_conjecture,(
% 0.11/0.38 multiply(a,b) != multiply(b,a) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f6,plain,(
% 0.11/0.38 ![X0,X1,X2]: (divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2)=X1)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.38 fof(f7,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.38 fof(f8,plain,(
% 0.11/0.38 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.38 fof(f9,plain,(
% 0.11/0.38 ![X0]: (identity=divide(X0,X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.38 fof(f10,plain,(
% 0.11/0.38 ~multiply(a,b)=multiply(b,a)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.38 fof(f14,plain,(
% 0.11/0.38 ![X0,X1,X2]: (divide(inverse(divide(divide(divide(X0,X1),X2),X0)),X2)=X1)),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.11/0.38 fof(f15,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.11/0.38 fof(f16,plain,(
% 0.11/0.38 ![X0]: (inverse(inverse(X0))=multiply(identity,X0))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f15,f8])).
% 0.11/0.38 fof(f18,plain,(
% 0.11/0.38 identity=inverse(identity)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f8,f9])).
% 0.11/0.38 fof(f22,plain,(
% 0.11/0.38 ![X0,X1,X2]: (multiply(inverse(divide(divide(divide(X0,X1),inverse(X2)),X0)),X2)=X1)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f15,f14])).
% 0.11/0.38 fof(f25,plain,(
% 0.11/0.38 ![X0,X1]: (divide(inverse(divide(identity,X0)),divide(X0,X1))=X1)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f9,f14])).
% 0.11/0.38 fof(f31,plain,(
% 0.11/0.38 ![X0,X1,X2]: (multiply(inverse(divide(multiply(divide(X0,X1),X2),X0)),X2)=X1)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f15,f22])).
% 0.11/0.38 fof(f33,plain,(
% 0.11/0.38 ![X0,X1]: (divide(inverse(inverse(X0)),divide(X0,X1))=X1)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f8,f25])).
% 0.11/0.38 fof(f41,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(inverse(divide(multiply(identity,X0),X1)),X0)=X1)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f9,f31])).
% 0.11/0.38 fof(f43,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(inverse(divide(inverse(inverse(X0)),X1)),X0)=X1)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f16,f41])).
% 0.11/0.38 fof(f103,plain,(
% 0.11/0.38 ![X0]: (divide(inverse(identity),divide(identity,X0))=X0)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f18,f33])).
% 0.11/0.38 fof(f109,plain,(
% 0.11/0.38 ![X0,X1]: (divide(inverse(inverse(X0)),multiply(X0,X1))=inverse(X1))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f15,f33])).
% 0.11/0.38 fof(f114,plain,(
% 0.11/0.38 ![X0]: (divide(identity,divide(identity,X0))=X0)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f18,f103])).
% 0.11/0.38 fof(f115,plain,(
% 0.11/0.38 ![X0]: (inverse(divide(identity,X0))=X0)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f8,f114])).
% 0.11/0.38 fof(f118,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(inverse(divide(X0,X1)),X0)=X1)),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f119,f43])).
% 0.11/0.38 fof(f119,plain,(
% 0.11/0.38 ![X0]: (inverse(inverse(X0))=X0)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f8,f115])).
% 0.11/0.38 fof(f127,plain,(
% 0.11/0.38 ![X0,X1]: (divide(X0,multiply(X0,X1))=inverse(X1))),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f119,f109])).
% 0.11/0.38 fof(f371,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(inverse(inverse(X0)),X1)=multiply(X1,X0))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f127,f118])).
% 0.11/0.38 fof(f380,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f119,f371])).
% 0.11/0.38 fof(f381,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(backward_subsumption_resolution,[status(thm)],[f10,f380])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.053470 seconds
% 0.15/0.43 % CPU time: 0.072292 seconds
% 0.15/0.43 % Total memory used: 2.436 MB
% 0.15/0.43 % Net memory used: 2.379 MB
%------------------------------------------------------------------------------