%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP531-1 : 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 : n012.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 12:36:46 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.31s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP531-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Sun Sep 20 20:16:07 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 0.02/0.31 % Refutation found
% 0.02/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.31 fof(f1,axiom,(
% 0.02/0.31 (![A,B,C]: (divide(divide(A,divide(B,C)),divide(A,B)) = C ))),
% 0.02/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f2,axiom,(
% 0.02/0.31 (![A,B,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.02/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f3,axiom,(
% 0.02/0.31 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.02/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f4,negated_conjecture,(
% 0.02/0.31 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.02/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.31 fof(f5,plain,(
% 0.02/0.31 ![X0,X1,X2]: (divide(divide(X0,divide(X1,X2)),divide(X0,X1))=X2)),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f1])).
% 0.02/0.31 fof(f6,plain,(
% 0.02/0.31 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f2])).
% 0.02/0.31 fof(f7,plain,(
% 0.02/0.31 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f3])).
% 0.02/0.31 fof(f8,plain,(
% 0.02/0.31 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.02/0.31 inference(cnf_transformation,[status(thm)],[f4])).
% 0.02/0.31 fof(f14,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.02/0.31 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.02/0.31 fof(f15,plain,(
% 0.02/0.31 ![X0,X1]: (inverse(inverse(X0))=multiply(divide(X1,X1),X0))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f14,f7])).
% 0.02/0.31 fof(f19,plain,(
% 0.02/0.31 ![X0,X1]: (inverse(inverse(X0))=multiply(inverse(divide(X1,X1)),X0))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f7,f15])).
% 0.02/0.31 fof(f26,plain,(
% 0.02/0.31 ![X0,X1]: (inverse(inverse(X0))=multiply(inverse(inverse(divide(X1,X1))),X0))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f7,f19])).
% 0.02/0.31 fof(f120,plain,(
% 0.02/0.31 ![X0,X1]: (inverse(divide(divide(X0,X1),X0))=X1)),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.02/0.31 fof(f127,plain,(
% 0.02/0.31 ![X0,X1,X2]: (divide(X0,divide(divide(X1,divide(X2,X0)),X1))=X2)),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f5,f5])).
% 0.02/0.31 fof(f136,plain,(
% 0.02/0.31 ![X0,X1,X2]: (divide(divide(X0,inverse(X1)),divide(X0,divide(X2,X2)))=X1)),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.02/0.31 fof(f137,plain,(
% 0.02/0.31 ![X0,X1,X2]: (divide(divide(X0,multiply(X1,X2)),divide(X0,X1))=inverse(X2))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f14,f5])).
% 0.02/0.31 fof(f173,plain,(
% 0.02/0.31 ![X0,X1,X2]: (divide(multiply(X0,X1),divide(X0,divide(X2,X2)))=X1)),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f14,f136])).
% 0.02/0.31 fof(f188,plain,(
% 0.02/0.31 ![X0]: (inverse(inverse(X0))=X0)),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f7,f120])).
% 0.02/0.31 fof(f211,plain,(
% 0.02/0.31 ![X0,X1]: (inverse(inverse(X0))=multiply(divide(X1,X1),X0))),
% 0.02/0.31 inference(backward_demodulation,[status(thm)],[f188,f26])).
% 0.02/0.31 fof(f253,plain,(
% 0.02/0.31 ![X0,X1]: (X0=multiply(divide(X1,X1),X0))),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f188,f211])).
% 0.02/0.31 fof(f283,plain,(
% 0.02/0.31 ![X0,X1]: (inverse(X0)=divide(divide(X1,X0),X1))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f120,f188])).
% 0.02/0.31 fof(f286,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f188,f14])).
% 0.02/0.31 fof(f288,plain,(
% 0.02/0.31 ![X0,X1]: (divide(X0,inverse(divide(X1,X0)))=X1)),
% 0.02/0.31 inference(backward_demodulation,[status(thm)],[f283,f127])).
% 0.02/0.31 fof(f296,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f14,f288])).
% 0.02/0.31 fof(f304,plain,(
% 0.02/0.31 ![X0,X1]: (divide(X0,divide(X1,X1))=X0)),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f253,f296])).
% 0.02/0.31 fof(f308,plain,(
% 0.02/0.31 ![X0,X1,X2]: (multiply(divide(X0,X1),X2)=divide(X0,divide(X1,X2)))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f5,f296])).
% 0.02/0.31 fof(f311,plain,(
% 0.02/0.31 ![X0,X1]: (divide(X0,divide(X1,X1))=X0)),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f296,f253])).
% 0.02/0.31 fof(f313,plain,(
% 0.02/0.31 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.02/0.31 inference(backward_demodulation,[status(thm)],[f304,f173])).
% 0.02/0.31 fof(f319,plain,(
% 0.02/0.31 ![X0,X1,X2]: (multiply(divide(divide(X0,multiply(X1,X2)),X0),X1)=inverse(X2))),
% 0.02/0.31 inference(backward_demodulation,[status(thm)],[f308,f137])).
% 0.02/0.31 fof(f326,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f308,f311])).
% 0.02/0.31 fof(f332,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),X0)=inverse(X1))),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f283,f319])).
% 0.02/0.31 fof(f396,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f313,f326])).
% 0.02/0.31 fof(f458,plain,(
% 0.02/0.31 ~multiply(c3,multiply(a3,b3))=multiply(a3,multiply(b3,c3))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f396,f8])).
% 0.02/0.31 fof(f482,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(inverse(X0),X1)=inverse(divide(X0,X1)))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f296,f332])).
% 0.02/0.31 fof(f643,plain,(
% 0.02/0.31 ~multiply(c3,multiply(a3,b3))=multiply(a3,multiply(c3,b3))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f396,f458])).
% 0.02/0.31 fof(f649,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(inverse(X0),X1)=divide(X1,X0))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f396,f286])).
% 0.02/0.31 fof(f663,plain,(
% 0.02/0.31 ![X0,X1]: (divide(X0,X1)=inverse(divide(X1,X0)))),
% 0.02/0.31 inference(backward_demodulation,[status(thm)],[f649,f482])).
% 0.02/0.31 fof(f720,plain,(
% 0.02/0.31 ![X0,X1]: (multiply(X0,X1)=divide(X1,inverse(X0)))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f188,f649])).
% 0.02/0.31 fof(f756,plain,(
% 0.02/0.31 ![X0,X1,X2]: (multiply(X0,divide(X1,X2))=divide(X0,divide(X2,X1)))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f663,f286])).
% 0.02/0.31 fof(f765,plain,(
% 0.02/0.31 ![X0,X1,X2]: (multiply(divide(X0,X1),X2)=multiply(X0,divide(X2,X1)))),
% 0.02/0.31 inference(backward_demodulation,[status(thm)],[f756,f308])).
% 0.02/0.31 fof(f925,plain,(
% 0.02/0.31 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X1,divide(X2,inverse(X0))))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f720,f765])).
% 0.02/0.31 fof(f926,plain,(
% 0.02/0.31 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,divide(X2,inverse(X1))))),
% 0.02/0.31 inference(paramodulation,[status(thm)],[f14,f765])).
% 0.02/0.31 fof(f958,plain,(
% 0.02/0.31 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X1,multiply(X0,X2)))),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f720,f925])).
% 0.02/0.31 fof(f959,plain,(
% 0.02/0.31 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,divide(X2,inverse(X0))))),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f958,f926])).
% 0.02/0.31 fof(f961,plain,(
% 0.02/0.31 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(X0,X2)))),
% 0.02/0.31 inference(forward_demodulation,[status(thm)],[f720,f959])).
% 0.02/0.31 fof(f962,plain,(
% 0.02/0.31 $false),
% 0.02/0.31 inference(backward_subsumption_resolution,[status(thm)],[f643,f961])).
% 0.02/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 5.96/1.54 % Elapsed time: 1.032296 seconds
% 5.96/1.54 % CPU time: 0.042181 seconds
% 5.96/1.54 % Total memory used: 2.196 MB
% 5.96/1.54 % Net memory used: 2.022 MB
%------------------------------------------------------------------------------