%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP090-1 : 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 : 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 12:35:37 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP090-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42 % Computer : n018.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Sun Sep 20 19:59:12 UTC 2026
% 0.18/0.42 % CPUTime :
% 0.18/0.43 % Drodi V4.1.1
% 0.18/0.51 % Refutation found
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.51 fof(f1,axiom,(
% 0.18/0.51 (![X,Y,Z]: (divide(divide(X,divide(Y,Z)),divide(X,Y)) = Z ))),
% 0.18/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f2,axiom,(
% 0.18/0.51 (![X,Y,Z]: (multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)) ))),
% 0.18/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f3,axiom,(
% 0.18/0.51 (![X,Z]: (inverse(X) = divide(divide(Z,Z),X) ))),
% 0.18/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f4,negated_conjecture,(
% 0.18/0.51 ( 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) ) ),
% 0.18/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f5,plain,(
% 0.18/0.51 ![X0,X1,X2]: (divide(divide(X0,divide(X1,X2)),divide(X0,X1))=X2)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f1])).
% 0.18/0.51 fof(f6,plain,(
% 0.18/0.51 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f2])).
% 0.18/0.51 fof(f7,plain,(
% 0.18/0.51 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f3])).
% 0.18/0.51 fof(f8,plain,(
% 0.18/0.51 ~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)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f4])).
% 0.18/0.51 fof(f9,plain,(
% 0.18/0.51 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.18/0.51 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.18/0.51 fof(f10,plain,(
% 0.18/0.51 ![X0,X1]: (inverse(X0)=divide(inverse(divide(X1,X1)),X0))),
% 0.18/0.51 inference(paramodulation,[status(thm)],[f7,f7])).
% 0.18/0.51 fof(f11,plain,(
% 0.18/0.51 ![X0,X1]: (multiply(divide(X0,X0),X1)=inverse(inverse(X1)))),
% 0.18/0.51 inference(paramodulation,[status(thm)],[f7,f9])).
% 0.18/0.51 fof(f13,plain,(
% 0.18/0.51 ![X0,X1]: (inverse(X0)=divide(multiply(inverse(X1),X1),X0))),
% 0.18/0.51 inference(paramodulation,[status(thm)],[f9,f7])).
% 0.18/0.51 fof(f22,plain,(
% 0.18/0.51 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=inverse(inverse(X1)))),
% 0.18/0.51 inference(paramodulation,[status(thm)],[f9,f11])).
% 0.18/0.51 fof(f23,plain,(
% 0.18/0.51 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.18/0.51 inference(backward_demodulation,[status(thm)],[f22,f8])).
% 0.18/0.51 fof(f24,plain,(
% 0.18/0.51 ![X0,X1]: (inverse(divide(divide(X0,X1),X0))=X1)),
% 0.18/0.51 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.18/0.51 fof(f25,plain,(
% 0.18/0.51 ![X0,X1,X2]: (divide(inverse(divide(X0,X1)),divide(inverse(divide(X2,X2)),X0))=X1)),
% 0.18/0.51 inference(paramodulation,[status(thm)],[f10,f5])).
% 0.18/0.51 fof(f26,plain,(
% 0.18/0.51 ![X0,X1,X2]: (divide(X0,divide(divide(X1,divide(X2,X0)),X1))=X2)),
% 0.18/0.51 inference(paramodulation,[status(thm)],[f5,f5])).
% 0.18/0.51 fof(f30,plain,(
% 0.18/0.51 ![X0,X1,X2]: (divide(divide(X0,inverse(X1)),divide(X0,divide(X2,X2)))=X1)),
% 0.18/0.51 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.18/0.51 fof(f37,plain,(
% 0.18/0.51 ![X0,X1]: (divide(inverse(divide(X0,X1)),inverse(X0))=X1)),
% 0.18/0.51 inference(forward_demodulation,[status(thm)],[f10,f25])).
% 0.18/0.51 fof(f38,plain,(
% 0.18/0.51 ![X0,X1]: (multiply(inverse(divide(X0,X1)),X0)=X1)),
% 0.18/0.51 inference(forward_demodulation,[status(thm)],[f9,f37])).
% 0.18/0.51 fof(f43,plain,(
% 0.18/0.51 ![X0,X1,X2]: (divide(multiply(X0,X1),divide(X0,divide(X2,X2)))=X1)),
% 0.18/0.51 inference(forward_demodulation,[status(thm)],[f9,f30])).
% 0.18/0.51 fof(f48,plain,(
% 0.18/0.51 ![X0]: (inverse(inverse(X0))=X0)),
% 0.18/0.51 inference(paramodulation,[status(thm)],[f7,f24])).
% 0.18/0.51 fof(f55,plain,(
% 0.18/0.51 ![X0,X1]: (multiply(divide(X0,X0),X1)=X1)),
% 0.18/0.51 inference(backward_demodulation,[status(thm)],[f48,f11])).
% 0.18/0.51 fof(f56,plain,(
% 0.18/0.51 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.18/0.51 inference(backward_demodulation,[status(thm)],[f48,f23])).
% 0.18/0.51 fof(f63,plain,(
% 0.18/0.51 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.18/0.51 inference(trivial_equality_resolution,[status(thm)],[f56])).
% 0.18/0.51 fof(f66,plain,(
% 0.18/0.51 ![X0,X1]: (inverse(X0)=divide(divide(X1,X0),X1))),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f24,f48])).
% 0.18/0.52 fof(f67,plain,(
% 0.18/0.52 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f48,f9])).
% 0.18/0.52 fof(f69,plain,(
% 0.18/0.52 ![X0,X1]: (divide(X0,inverse(divide(X1,X0)))=X1)),
% 0.18/0.52 inference(backward_demodulation,[status(thm)],[f66,f26])).
% 0.18/0.52 fof(f71,plain,(
% 0.18/0.52 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.18/0.52 inference(forward_demodulation,[status(thm)],[f9,f69])).
% 0.18/0.52 fof(f76,plain,(
% 0.18/0.52 ![X0,X1]: (divide(X0,divide(X1,X1))=X0)),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f55,f71])).
% 0.18/0.52 fof(f78,plain,(
% 0.18/0.52 ![X0,X1,X2]: (multiply(divide(X0,X1),X2)=divide(X0,divide(X1,X2)))),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f5,f71])).
% 0.18/0.52 fof(f81,plain,(
% 0.18/0.52 ![X0,X1]: (X0=divide(X0,divide(X1,X1)))),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f71,f55])).
% 0.18/0.52 fof(f83,plain,(
% 0.18/0.52 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.18/0.52 inference(backward_demodulation,[status(thm)],[f76,f43])).
% 0.18/0.52 fof(f93,plain,(
% 0.18/0.52 ![X0,X1]: (X0=multiply(divide(X0,X1),X1))),
% 0.18/0.52 inference(forward_demodulation,[status(thm)],[f78,f81])).
% 0.18/0.52 fof(f134,plain,(
% 0.18/0.52 ![X0,X1]: (X0=multiply(multiply(X0,X1),inverse(X1)))),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f9,f93])).
% 0.18/0.52 fof(f138,plain,(
% 0.18/0.52 ![X0,X1]: (X0=divide(multiply(X0,X1),X1))),
% 0.18/0.52 inference(forward_demodulation,[status(thm)],[f67,f134])).
% 0.18/0.52 fof(f144,plain,(
% 0.18/0.52 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f83,f93])).
% 0.18/0.52 fof(f148,plain,(
% 0.18/0.52 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.18/0.52 inference(backward_subsumption_resolution,[status(thm)],[f63,f144])).
% 0.18/0.52 fof(f218,plain,(
% 0.18/0.52 ![X0,X1]: (inverse(divide(X0,X1))=divide(X1,X0))),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f38,f138])).
% 0.18/0.52 fof(f271,plain,(
% 0.18/0.52 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f13,f93])).
% 0.18/0.52 fof(f284,plain,(
% 0.18/0.52 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.18/0.52 inference(backward_subsumption_resolution,[status(thm)],[f148,f271])).
% 0.18/0.52 fof(f300,plain,(
% 0.18/0.52 ![X0,X1]: (divide(X0,X1)=multiply(inverse(X1),X0))),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f66,f93])).
% 0.18/0.52 fof(f346,plain,(
% 0.18/0.52 ![X0,X1,X2]: (multiply(X0,divide(X1,X2))=divide(X0,divide(X2,X1)))),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f218,f67])).
% 0.18/0.52 fof(f356,plain,(
% 0.18/0.52 ![X0,X1,X2]: (multiply(divide(X0,X1),X2)=multiply(X0,divide(X2,X1)))),
% 0.18/0.52 inference(backward_demodulation,[status(thm)],[f346,f78])).
% 0.18/0.52 fof(f404,plain,(
% 0.18/0.52 ![X0,X1]: (divide(X0,inverse(X1))=multiply(X1,X0))),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f48,f300])).
% 0.18/0.52 fof(f535,plain,(
% 0.18/0.52 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X1,divide(X2,inverse(X0))))),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f404,f356])).
% 0.18/0.52 fof(f536,plain,(
% 0.18/0.52 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,divide(X2,inverse(X1))))),
% 0.18/0.52 inference(paramodulation,[status(thm)],[f9,f356])).
% 0.18/0.52 fof(f566,plain,(
% 0.18/0.52 ~multiply(b3,multiply(a3,c3))=multiply(a3,multiply(b3,c3))),
% 0.18/0.52 inference(backward_demodulation,[status(thm)],[f570,f284])).
% 0.18/0.52 fof(f570,plain,(
% 0.18/0.52 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X1,multiply(X0,X2)))),
% 0.18/0.52 inference(forward_demodulation,[status(thm)],[f404,f535])).
% 0.18/0.52 fof(f571,plain,(
% 0.18/0.52 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,divide(X2,inverse(X0))))),
% 0.18/0.52 inference(forward_demodulation,[status(thm)],[f570,f536])).
% 0.18/0.52 fof(f572,plain,(
% 0.18/0.52 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(X0,X2)))),
% 0.18/0.52 inference(forward_demodulation,[status(thm)],[f404,f571])).
% 0.18/0.52 fof(f588,plain,(
% 0.18/0.52 $false),
% 0.18/0.52 inference(forward_subsumption_resolution,[status(thm)],[f566,f572])).
% 0.18/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.54 % Elapsed time: 0.112664 seconds
% 0.18/0.54 % CPU time: 0.479463 seconds
% 0.18/0.54 % Total memory used: 61.066 MB
% 0.18/0.54 % Net memory used: 60.699 MB
%------------------------------------------------------------------------------