%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP098-1 : 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 : 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 0.14s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP098-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:00:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.46 % Refutation found
% 0.14/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.46 fof(f1,axiom,(
% 0.14/0.46 (![X,Y,Z]: (divide(divide(divide(X,inverse(Y)),Z),divide(X,Z)) = Y ))),
% 0.14/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f2,axiom,(
% 0.14/0.46 (![X,Y]: (multiply(X,Y) = divide(X,inverse(Y)) ))),
% 0.14/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f3,negated_conjecture,(
% 0.14/0.46 ( 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) ) ),
% 0.14/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f4,plain,(
% 0.14/0.46 ![X0,X1,X2]: (divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2))=X1)),
% 0.14/0.46 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.46 fof(f5,plain,(
% 0.14/0.46 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.14/0.46 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.46 fof(f6,plain,(
% 0.14/0.46 ~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)),
% 0.14/0.46 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.46 fof(f7,plain,(
% 0.14/0.46 ![X0,X1,X2]: (divide(divide(multiply(X0,X1),X2),divide(X0,X2))=X1)),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.14/0.46 fof(f8,plain,(
% 0.14/0.46 ![X0,X1,X2]: (divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2)))=X1)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f5,f7])).
% 0.14/0.46 fof(f9,plain,(
% 0.14/0.46 ![X0,X1,X2,X3]: (divide(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X1)=X3)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f7,f7])).
% 0.14/0.46 fof(f11,plain,(
% 0.14/0.46 ![X0,X1,X2]: (divide(multiply(multiply(X0,X1),X2),multiply(X0,X2))=X1)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f5,f8])).
% 0.14/0.46 fof(f13,plain,(
% 0.14/0.46 ![X0,X1,X2]: (divide(X0,divide(multiply(X1,X0),multiply(X1,X2)))=X2)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f11,f7])).
% 0.14/0.46 fof(f14,plain,(
% 0.14/0.46 ![X0,X1,X2,X3]: (divide(divide(multiply(multiply(multiply(X0,X1),X2),X3),multiply(X0,X2)),X1)=X3)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f11,f7])).
% 0.14/0.46 fof(f15,plain,(
% 0.14/0.46 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(multiply(X2,multiply(X1,X3)),multiply(X2,X0))))=X3)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f13,f7])).
% 0.14/0.46 fof(f17,plain,(
% 0.14/0.46 ![X0,X1,X2,X3]: (multiply(divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)),X1)=X3)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f5,f9])).
% 0.14/0.46 fof(f56,plain,(
% 0.14/0.46 ![X0,X1,X2,X3]: (divide(divide(X0,divide(divide(multiply(X1,inverse(X2)),X3),divide(X1,X3))),X0)=X2)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f17,f9])).
% 0.14/0.46 fof(f66,plain,(
% 0.14/0.46 ![X0,X1,X2,X3,X4]: (divide(X0,divide(multiply(divide(multiply(divide(multiply(X1,inverse(X2)),X3),X4),divide(X1,X3)),X0),X4))=X2)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f17,f13])).
% 0.14/0.46 fof(f70,plain,(
% 0.14/0.46 ![X0,X1,X2,X3,X4]: (divide(divide(X0,X1),divide(divide(multiply(divide(multiply(X2,inverse(X3)),X4),X0),divide(X2,X4)),X1))=X3)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f17,f7])).
% 0.14/0.46 fof(f75,plain,(
% 0.14/0.46 ![X0,X1]: (divide(divide(X0,inverse(X1)),X0)=X1)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f7,f56])).
% 0.14/0.46 fof(f76,plain,(
% 0.14/0.46 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f5,f75])).
% 0.14/0.46 fof(f83,plain,(
% 0.14/0.46 ![X0,X1]: (divide(X0,divide(X1,X1))=X0)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f76,f7])).
% 0.14/0.46 fof(f90,plain,(
% 0.14/0.46 ![X0,X1]: (X0=multiply(divide(X1,X1),X0))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f76,f83])).
% 0.14/0.46 fof(f123,plain,(
% 0.14/0.46 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X1),X0))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f5,f90])).
% 0.14/0.46 fof(f137,plain,(
% 0.14/0.46 ![X0,X1,X2]: (divide(X0,divide(multiply(divide(X1,X1),X0),X2))=X2)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f90,f13])).
% 0.14/0.46 fof(f139,plain,(
% 0.14/0.46 ![X0,X1,X2]: (divide(multiply(multiply(divide(X0,X0),X1),X2),X2)=X1)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f90,f11])).
% 0.14/0.46 fof(f142,plain,(
% 0.14/0.46 ~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)),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f123,f6])).
% 0.14/0.46 fof(f149,plain,(
% 0.14/0.46 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f90,f137])).
% 0.14/0.46 fof(f151,plain,(
% 0.14/0.46 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f90,f139])).
% 0.14/0.46 fof(f153,plain,(
% 0.14/0.46 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.14/0.46 inference(trivial_equality_resolution,[status(thm)],[f142])).
% 0.14/0.46 fof(f156,plain,(
% 0.14/0.46 ![X0,X1,X2]: (divide(multiply(multiply(X0,X1),X2),X1)=multiply(X0,X2))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f11,f149])).
% 0.14/0.46 fof(f162,plain,(
% 0.14/0.46 ![X0,X1,X2]: (divide(X0,X1)=divide(multiply(X2,X0),multiply(X2,X1)))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f13,f149])).
% 0.14/0.46 fof(f163,plain,(
% 0.14/0.46 ![X0,X1,X2,X3]: (divide(X0,X1)=divide(X2,divide(multiply(X3,multiply(X2,X1)),multiply(X3,X0))))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f15,f149])).
% 0.14/0.46 fof(f165,plain,(
% 0.14/0.46 ![X0,X1]: (divide(X0,X0)=divide(X1,X1))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f83,f149])).
% 0.14/0.46 fof(f166,plain,(
% 0.14/0.46 ![X0,X1]: (divide(X0,multiply(X0,X1))=inverse(X1))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f5,f149])).
% 0.14/0.46 fof(f167,plain,(
% 0.14/0.46 ![X0,X1,X2,X3]: (multiply(divide(multiply(X0,X1),divide(X2,divide(multiply(X2,inverse(X3)),X0))),X3)=X1)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f149,f17])).
% 0.14/0.46 fof(f202,plain,(
% 0.14/0.46 ![X0,X1,X2]: (divide(X0,X1)=divide(X2,divide(multiply(X2,X1),X0)))),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f162,f163])).
% 0.14/0.46 fof(f205,plain,(
% 0.14/0.46 ![X0,X1,X2]: (multiply(divide(multiply(X0,X1),divide(X0,inverse(X2))),X2)=X1)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f202,f167])).
% 0.14/0.46 fof(f206,plain,(
% 0.14/0.46 ![X0,X1,X2]: (multiply(divide(multiply(X0,X1),multiply(X0,X2)),X2)=X1)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f5,f205])).
% 0.14/0.46 fof(f207,plain,(
% 0.14/0.46 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f162,f206])).
% 0.14/0.46 fof(f235,plain,(
% 0.14/0.46 ![X0,X1,X2,X3]: (divide(X0,X1)=divide(multiply(divide(multiply(X2,inverse(X1)),X3),X0),divide(X2,X3)))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f17,f151])).
% 0.14/0.46 fof(f258,plain,(
% 0.14/0.46 ![X0,X1,X2]: (divide(divide(X0,X1),divide(divide(X0,X2),X1))=X2)),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f235,f70])).
% 0.14/0.46 fof(f262,plain,(
% 0.14/0.46 ![X0,X1,X2]: (divide(X0,divide(multiply(divide(X1,X2),X0),X1))=X2)),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f235,f66])).
% 0.14/0.46 fof(f276,plain,(
% 0.14/0.46 ![X0,X1]: (multiply(inverse(X0),X0)=divide(X1,X1))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f5,f165])).
% 0.14/0.46 fof(f318,plain,(
% 0.14/0.46 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X1,X0),X2))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f11,f207])).
% 0.14/0.46 fof(f320,plain,(
% 0.14/0.46 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f76,f207])).
% 0.14/0.46 fof(f322,plain,(
% 0.14/0.46 ![X0,X1,X2,X3]: (multiply(X0,X1)=divide(multiply(divide(multiply(X2,X1),X3),X0),divide(X2,X3)))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f9,f207])).
% 0.14/0.46 fof(f323,plain,(
% 0.14/0.46 ![X0,X1,X2]: (multiply(X0,divide(X1,X2))=divide(multiply(X1,X0),X2))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f7,f207])).
% 0.14/0.46 fof(f324,plain,(
% 0.14/0.46 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f149,f207])).
% 0.14/0.46 fof(f339,plain,(
% 0.14/0.46 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(b3,multiply(a3,c3))=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f318,f153])).
% 0.14/0.46 fof(f340,plain,(
% 0.14/0.46 ![X0,X1,X2,X3]: (divide(divide(multiply(X0,multiply(multiply(X1,X2),X3)),multiply(X1,X0)),X2)=X3)),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f318,f14])).
% 0.14/0.46 fof(f361,plain,(
% 0.14/0.46 ![X0,X1]: (divide(X0,X1)=multiply(X0,inverse(X1)))),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f322,f235])).
% 0.14/0.46 fof(f380,plain,(
% 0.14/0.46 ![X0,X1,X2]: (divide(X0,multiply(X0,divide(divide(X1,X2),X1)))=X2)),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f323,f262])).
% 0.14/0.46 fof(f403,plain,(
% 0.14/0.46 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(b3,multiply(a3,c3))=multiply(a3,multiply(b3,c3))),
% 0.14/0.47 inference(forward_subsumption_resolution,[status(thm)],[f339,f320])).
% 0.14/0.47 fof(f404,plain,(
% 0.14/0.47 ![X0,X1,X2,X3]: (divide(multiply(multiply(multiply(X0,X1),X2),divide(X3,multiply(X0,X3))),X1)=X2)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f323,f340])).
% 0.14/0.47 fof(f405,plain,(
% 0.14/0.47 ![X0,X1,X2,X3]: (multiply(divide(X0,multiply(X1,X0)),divide(multiply(multiply(X1,X2),X3),X2))=X3)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f323,f404])).
% 0.14/0.47 fof(f406,plain,(
% 0.14/0.47 ![X0,X1,X2]: (multiply(divide(X0,multiply(X1,X0)),multiply(X1,X2))=X2)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f156,f405])).
% 0.14/0.47 fof(f507,plain,(
% 0.14/0.47 ![X0,X1]: (inverse(divide(divide(X0,X1),X0))=X1)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f166,f380])).
% 0.14/0.47 fof(f533,plain,(
% 0.14/0.47 ~multiply(a1,inverse(a1))=multiply(inverse(b1),b1)|~multiply(b3,multiply(a3,c3))=multiply(a3,multiply(b3,c3))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f320,f403])).
% 0.14/0.47 fof(f541,plain,(
% 0.14/0.47 ~divide(a1,a1)=multiply(inverse(b1),b1)|~multiply(b3,multiply(a3,c3))=multiply(a3,multiply(b3,c3))),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f361,f533])).
% 0.14/0.47 fof(f542,plain,(
% 0.14/0.47 ~multiply(b3,multiply(a3,c3))=multiply(a3,multiply(b3,c3))),
% 0.14/0.47 inference(forward_subsumption_resolution,[status(thm)],[f541,f276])).
% 0.14/0.47 fof(f572,plain,(
% 0.14/0.47 ![X0,X1]: (divide(divide(X0,X1),X0)=inverse(X1))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f207,f166])).
% 0.14/0.47 fof(f574,plain,(
% 0.14/0.47 ![X0,X1]: (divide(X0,X1)=inverse(divide(X1,X0)))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f324,f166])).
% 0.14/0.47 fof(f576,plain,(
% 0.14/0.47 ![X0,X1]: (divide(X0,multiply(X1,X0))=inverse(X1))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f320,f166])).
% 0.14/0.47 fof(f582,plain,(
% 0.14/0.47 ![X0]: (inverse(inverse(X0))=X0)),
% 0.14/0.47 inference(backward_demodulation,[status(thm)],[f572,f507])).
% 0.14/0.47 fof(f596,plain,(
% 0.14/0.47 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 0.14/0.47 inference(backward_demodulation,[status(thm)],[f576,f406])).
% 0.14/0.47 fof(f616,plain,(
% 0.14/0.47 ![X0,X1]: (multiply(inverse(X0),X1)=divide(X1,X0))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f324,f596])).
% 0.14/0.47 fof(f659,plain,(
% 0.14/0.47 ![X0,X1]: (divide(inverse(X0),X1)=inverse(multiply(X1,X0)))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f166,f572])).
% 0.14/0.47 fof(f753,plain,(
% 0.14/0.47 ![X0,X1,X2]: (divide(X0,divide(X1,X2))=inverse(divide(divide(X1,X0),X2)))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f258,f572])).
% 0.14/0.47 fof(f788,plain,(
% 0.14/0.47 ![X0,X1,X2]: (divide(X0,divide(X1,X2))=divide(X2,divide(X1,X0)))),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f574,f753])).
% 0.14/0.47 fof(f797,plain,(
% 0.14/0.47 ![X0,X1,X2]: (divide(X0,divide(X1,X2))=multiply(X0,divide(X2,X1)))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f574,f361])).
% 0.14/0.47 fof(f818,plain,(
% 0.14/0.47 ![X0,X1,X2]: (divide(X0,divide(X1,X2))=multiply(X2,divide(X0,X1)))),
% 0.14/0.47 inference(backward_demodulation,[status(thm)],[f797,f788])).
% 0.14/0.47 fof(f877,plain,(
% 0.14/0.47 ![X0,X1]: (multiply(X0,X1)=divide(X1,inverse(X0)))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f582,f616])).
% 0.14/0.47 fof(f1267,plain,(
% 0.14/0.47 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=divide(X2,divide(inverse(X1),X0)))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f659,f877])).
% 0.14/0.47 fof(f1279,plain,(
% 0.14/0.47 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=divide(X2,divide(inverse(X0),X1)))),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f318,f1267])).
% 0.14/0.47 fof(f1280,plain,(
% 0.14/0.47 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,divide(X2,inverse(X0))))),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f818,f1279])).
% 0.14/0.47 fof(f1282,plain,(
% 0.14/0.47 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(X0,X2)))),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f877,f1280])).
% 0.14/0.47 fof(f1283,plain,(
% 0.14/0.47 $false),
% 0.14/0.47 inference(backward_subsumption_resolution,[status(thm)],[f542,f1282])).
% 0.14/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.48 % Elapsed time: 0.105384 seconds
% 0.14/0.48 % CPU time: 0.604428 seconds
% 0.14/0.48 % Total memory used: 78.741 MB
% 0.14/0.48 % Net memory used: 77.908 MB
%------------------------------------------------------------------------------