%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP539-1 : TPTP v9.3.1. Released v2.6.0.
% 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 12:36:47 PM UTC 2026
% Result : Unsatisfiable 0.09s 5.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP539-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n018.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sun Sep 20 20:18:19 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 0.09/5.39 % Refutation found
% 0.09/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/5.39 fof(f1,axiom,(
% 0.09/5.39 (![A,B,C]: (divide(divide(A,B),divide(divide(A,C),B)) = C ))),
% 0.09/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f2,axiom,(
% 0.09/5.39 (![A,B,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.09/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f3,axiom,(
% 0.09/5.39 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.09/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f4,axiom,(
% 0.09/5.39 (![A]: (identity = divide(A,A) ))),
% 0.09/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f5,negated_conjecture,(
% 0.09/5.39 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.09/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.39 fof(f6,plain,(
% 0.09/5.39 ![X0,X1,X2]: (divide(divide(X0,X1),divide(divide(X0,X2),X1))=X2)),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/5.39 fof(f7,plain,(
% 0.09/5.39 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/5.39 fof(f8,plain,(
% 0.09/5.39 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/5.39 fof(f9,plain,(
% 0.09/5.39 ![X0]: (identity=divide(X0,X0))),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/5.39 fof(f10,plain,(
% 0.09/5.39 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.09/5.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/5.39 fof(f16,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.09/5.39 fof(f17,plain,(
% 0.09/5.39 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f9,f8])).
% 0.09/5.39 fof(f20,plain,(
% 0.09/5.39 ![X0]: (inverse(inverse(X0))=multiply(identity,X0))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f16,f17])).
% 0.09/5.39 fof(f34,plain,(
% 0.09/5.39 ![X0,X1]: (divide(divide(X0,X1),divide(identity,X1))=X0)),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f9,f6])).
% 0.09/5.39 fof(f40,plain,(
% 0.09/5.39 ![X0,X1]: (divide(divide(X0,X1),inverse(X1))=X0)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f17,f34])).
% 0.09/5.39 fof(f41,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f16,f40])).
% 0.09/5.39 fof(f44,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f16,f41])).
% 0.09/5.39 fof(f45,plain,(
% 0.09/5.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f9,f41])).
% 0.09/5.39 fof(f46,plain,(
% 0.09/5.39 ![X0]: (inverse(inverse(X0))=X0)),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f45,f20])).
% 0.09/5.39 fof(f49,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f46,f16])).
% 0.09/5.39 fof(f50,plain,(
% 0.09/5.39 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f49,f44])).
% 0.09/5.39 fof(f58,plain,(
% 0.09/5.39 ![X0,X1,X2]: (divide(divide(multiply(X0,X1),X2),divide(X0,X2))=X1)),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f50,f6])).
% 0.09/5.39 fof(f89,plain,(
% 0.09/5.39 ![X0,X1,X2]: (multiply(X0,divide(X1,X2))=divide(multiply(X1,X0),X2))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f58,f41])).
% 0.09/5.39 fof(f104,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.09/5.39 inference(backward_demodulation,[status(thm)],[f89,f50])).
% 0.09/5.39 fof(f152,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f16,f104])).
% 0.09/5.39 fof(f181,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(inverse(X0),X1)=divide(X1,X0))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f41,f152])).
% 0.09/5.39 fof(f199,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(X0,X1)=divide(X1,inverse(X0)))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f46,f181])).
% 0.09/5.39 fof(f289,plain,(
% 0.09/5.39 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f16,f199])).
% 0.09/5.39 fof(f437,plain,(
% 0.09/5.39 ~multiply(c3,multiply(a3,b3))=multiply(a3,multiply(b3,c3))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f289,f10])).
% 0.09/5.39 fof(f542,plain,(
% 0.09/5.39 ![X0,X1,X2]: (multiply(X0,divide(X1,inverse(X2)))=multiply(X2,multiply(X1,X0)))),
% 0.09/5.39 inference(paramodulation,[status(thm)],[f199,f89])).
% 0.09/5.39 fof(f565,plain,(
% 0.09/5.39 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(X2,X0)))),
% 0.09/5.39 inference(forward_demodulation,[status(thm)],[f199,f542])).
% 0.09/5.39 fof(f566,plain,(
% 0.09/5.39 $false),
% 0.09/5.39 inference(backward_subsumption_resolution,[status(thm)],[f437,f565])).
% 0.09/5.39 % SZS output end CNFRefutation for theBenchmark.p
% 6.14/6.61 % Elapsed time: 1.027134 seconds
% 6.14/6.61 % CPU time: 0.075708 seconds
% 6.14/6.61 % Total memory used: 2.221 MB
% 6.14/6.61 % Net memory used: 2.142 MB
%------------------------------------------------------------------------------