%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP097-1 : 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 : n015.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 12:35:38 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP097-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n015.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Sun Sep 20 20:00:35 UTC 2026
% 0.10/0.56 % CPUTime :
% 0.10/0.57 % Drodi V4.1.1
% 0.12/0.63 % Refutation found
% 0.12/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.63 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.63 fof(f1,axiom,(
% 0.12/0.63 (![X,Y,Z]: (divide(X,inverse(divide(divide(Y,Z),divide(X,Z)))) = Y ))),
% 0.12/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.63 fof(f2,axiom,(
% 0.12/0.63 (![X,Y]: (multiply(X,Y) = divide(X,inverse(Y)) ))),
% 0.12/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.63 fof(f3,negated_conjecture,(
% 0.12/0.63 ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)| multiply(multiply(inverse(b2),b2),a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))| multiply(a4,b4) != multiply(b4,a4) ) ),
% 0.12/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.63 fof(f4,plain,(
% 0.12/0.63 ![X0,X1,X2]: (divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2))))=X1)),
% 0.12/0.63 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.63 fof(f5,plain,(
% 0.12/0.63 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.12/0.63 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.63 fof(f6,plain,(
% 0.12/0.63 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.12/0.63 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.63 fof(f7,plain,(
% 0.12/0.63 ![X0,X1,X2]: (multiply(X0,divide(divide(X1,X2),divide(X0,X2)))=X1)),
% 0.12/0.63 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.12/0.63 fof(f8,plain,(
% 0.12/0.63 ![X0,X1,X2]: (multiply(X0,divide(multiply(X1,X2),divide(X0,inverse(X2))))=X1)),
% 0.12/0.63 inference(paramodulation,[status(thm)],[f5,f7])).
% 0.12/0.63 fof(f10,plain,(
% 0.12/0.63 ![X0,X1,X2]: (multiply(X0,divide(multiply(X1,X2),multiply(X0,X2)))=X1)),
% 0.12/0.63 inference(forward_demodulation,[status(thm)],[f5,f8])).
% 0.12/0.63 fof(f12,plain,(
% 0.12/0.63 ![X0,X1,X2,X3]: (multiply(X0,divide(X1,multiply(X0,divide(multiply(X1,X2),multiply(X3,X2)))))=X3)),
% 0.12/0.63 inference(paramodulation,[status(thm)],[f10,f10])).
% 0.12/0.63 fof(f16,plain,(
% 0.12/0.63 ![X0,X1]: (multiply(X0,divide(X1,X1))=X0)),
% 0.12/0.63 inference(paramodulation,[status(thm)],[f10,f12])).
% 0.12/0.63 fof(f27,plain,(
% 0.12/0.63 ![X0,X1]: (multiply(X0,multiply(inverse(X1),X1))=X0)),
% 0.12/0.63 inference(paramodulation,[status(thm)],[f5,f16])).
% 0.12/0.63 fof(f28,plain,(
% 0.12/0.63 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.12/0.63 inference(paramodulation,[status(thm)],[f16,f12])).
% 0.12/0.63 fof(f31,plain,(
% 0.12/0.63 ![X0,X1,X2,X3]: (multiply(X0,divide(X1,multiply(X0,divide(multiply(X1,divide(X2,X2)),X3))))=X3)),
% 0.12/0.63 inference(paramodulation,[status(thm)],[f16,f12])).
% 0.12/0.63 fof(f35,plain,(
% 0.12/0.63 ![X0,X1,X2]: (multiply(X0,divide(X1,multiply(X0,divide(X1,X2))))=X2)),
% 0.12/0.63 inference(forward_demodulation,[status(thm)],[f16,f31])).
% 0.12/0.63 fof(f40,plain,(
% 0.12/0.63 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 0.12/0.63 inference(paramodulation,[status(thm)],[f5,f28])).
% 0.12/0.63 fof(f41,plain,(
% 0.12/0.63 ![X0,X1,X2]: (multiply(multiply(X0,X1),divide(X2,multiply(X2,X1)))=X0)),
% 0.12/0.63 inference(paramodulation,[status(thm)],[f28,f12])).
% 0.12/0.63 fof(f73,plain,(
% 0.12/0.63 ![X0,X1,X2]: (multiply(multiply(X0,X1),divide(X2,X0))=multiply(X2,X1))),
% 0.12/0.63 inference(paramodulation,[status(thm)],[f41,f12])).
% 0.12/0.63 fof(f86,plain,(
% 0.12/0.63 ![X0,X1,X2,X3]: (multiply(X0,divide(X1,multiply(X0,X2)))=multiply(X1,divide(X3,multiply(X3,X2))))),
% 0.12/0.63 inference(paramodulation,[status(thm)],[f41,f73])).
% 0.12/0.63 fof(f88,plain,(
% 0.12/0.63 ![X0,X1,X2]: (multiply(X0,divide(X1,inverse(X2)))=multiply(X1,multiply(X0,X2)))),
% 0.12/0.63 inference(paramodulation,[status(thm)],[f40,f73])).
% 0.12/0.63 fof(f106,plain,(
% 0.12/0.63 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(X0,X2)))),
% 0.12/0.63 inference(forward_demodulation,[status(thm)],[f5,f88])).
% 0.12/0.63 fof(f167,plain,(
% 0.12/0.63 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X1,multiply(X0,divide(X2,X2))))),
% 0.12/0.63 inference(paramodulation,[status(thm)],[f16,f106])).
% 0.12/0.63 fof(f183,plain,(
% 0.12/0.63 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(a4,b4)),
% 0.12/0.63 inference(backward_demodulation,[status(thm)],[f190,f6])).
% 0.12/0.63 fof(f190,plain,(
% 0.12/0.63 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.12/0.63 inference(forward_demodulation,[status(thm)],[f16,f167])).
% 0.12/0.63 fof(f197,plain,(
% 0.12/0.63 ~multiply(a1,inverse(a1))=multiply(inverse(b1),b1)|~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(a4,b4)),
% 0.12/0.64 inference(forward_demodulation,[status(thm)],[f190,f183])).
% 0.12/0.64 fof(f198,plain,(
% 0.12/0.64 ~multiply(a1,inverse(a1))=multiply(b1,inverse(b1))|~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(a4,b4)),
% 0.12/0.64 inference(forward_demodulation,[status(thm)],[f190,f197])).
% 0.12/0.64 fof(f199,plain,(
% 0.12/0.64 ~multiply(a1,inverse(a1))=multiply(b1,inverse(b1))|~multiply(a2,multiply(inverse(b2),b2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(a4,b4)),
% 0.12/0.64 inference(forward_demodulation,[status(thm)],[f190,f198])).
% 0.12/0.64 fof(f200,plain,(
% 0.12/0.64 ~multiply(a1,inverse(a1))=multiply(b1,inverse(b1))|~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(a4,b4)),
% 0.12/0.64 inference(forward_demodulation,[status(thm)],[f27,f199])).
% 0.12/0.64 fof(f201,plain,(
% 0.12/0.64 ~multiply(a1,inverse(a1))=multiply(b1,inverse(b1))|~a2=a2|~multiply(c3,multiply(a3,b3))=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(a4,b4)),
% 0.12/0.64 inference(forward_demodulation,[status(thm)],[f190,f200])).
% 0.12/0.64 fof(f202,plain,(
% 0.12/0.64 ~multiply(a1,inverse(a1))=multiply(b1,inverse(b1))|~a2=a2|~multiply(a3,multiply(c3,b3))=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(a4,b4)),
% 0.12/0.64 inference(forward_demodulation,[status(thm)],[f106,f201])).
% 0.12/0.64 fof(f203,plain,(
% 0.12/0.64 ~multiply(a1,inverse(a1))=multiply(b1,inverse(b1))|~a2=a2|~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(a4,b4)),
% 0.12/0.64 inference(forward_demodulation,[status(thm)],[f190,f202])).
% 0.12/0.64 fof(f204,plain,(
% 0.12/0.64 ~multiply(a1,inverse(a1))=multiply(b1,inverse(b1))),
% 0.12/0.64 inference(trivial_equality_resolution,[status(thm)],[f203])).
% 0.12/0.64 fof(f208,plain,(
% 0.12/0.64 ![X0,X1]: (X0=multiply(divide(X1,X1),X0))),
% 0.12/0.64 inference(paramodulation,[status(thm)],[f16,f190])).
% 0.12/0.64 fof(f260,plain,(
% 0.12/0.64 ![X0,X1]: (divide(X0,X0)=divide(X1,X1))),
% 0.12/0.64 inference(paramodulation,[status(thm)],[f16,f208])).
% 0.12/0.64 fof(f274,plain,(
% 0.12/0.64 ![X0,X1,X2]: (divide(X0,multiply(divide(X1,X1),divide(X0,X2)))=X2)),
% 0.12/0.64 inference(paramodulation,[status(thm)],[f208,f35])).
% 0.12/0.64 fof(f285,plain,(
% 0.12/0.64 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.12/0.64 inference(forward_demodulation,[status(thm)],[f208,f274])).
% 0.12/0.64 fof(f326,plain,(
% 0.12/0.64 ![X0,X1]: (divide(X0,multiply(X0,X1))=inverse(X1))),
% 0.12/0.64 inference(paramodulation,[status(thm)],[f5,f285])).
% 0.12/0.64 fof(f330,plain,(
% 0.12/0.64 ![X0,X1,X2]: (multiply(X0,divide(X1,multiply(X0,X2)))=divide(X1,X2))),
% 0.12/0.64 inference(paramodulation,[status(thm)],[f285,f35])).
% 0.12/0.64 fof(f335,plain,(
% 0.12/0.64 ![X0,X1,X2]: (multiply(X0,divide(X1,multiply(X0,X2)))=multiply(X1,inverse(X2)))),
% 0.12/0.64 inference(backward_demodulation,[status(thm)],[f326,f86])).
% 0.12/0.64 fof(f353,plain,(
% 0.12/0.64 ~multiply(a1,inverse(a1))=divide(b1,b1)),
% 0.12/0.64 inference(backward_demodulation,[status(thm)],[f360,f204])).
% 0.12/0.64 fof(f360,plain,(
% 0.12/0.64 ![X0,X1]: (divide(X0,X1)=multiply(X0,inverse(X1)))),
% 0.12/0.64 inference(forward_demodulation,[status(thm)],[f330,f335])).
% 0.12/0.64 fof(f369,plain,(
% 0.12/0.64 ~divide(a1,a1)=divide(b1,b1)),
% 0.12/0.64 inference(forward_demodulation,[status(thm)],[f360,f353])).
% 0.12/0.64 fof(f370,plain,(
% 0.12/0.64 $false),
% 0.12/0.64 inference(forward_subsumption_resolution,[status(thm)],[f369,f260])).
% 0.12/0.64 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.65 % Elapsed time: 0.090219 seconds
% 0.12/0.65 % CPU time: 0.439167 seconds
% 0.12/0.65 % Total memory used: 73.598 MB
% 0.12/0.65 % Net memory used: 72.673 MB
%------------------------------------------------------------------------------