%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP087-1 : 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 : n011.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 0.14s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP087-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 19:57:10 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.14/0.47 % Refutation found
% 0.14/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.47 fof(f1,axiom,(
% 0.14/0.47 (![X,Y,Z]: (multiply(X,multiply(multiply(inverse(multiply(X,Y)),Z),Y)) = Z ))),
% 0.14/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f2,negated_conjecture,(
% 0.14/0.47 ( 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) ) ),
% 0.14/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f3,plain,(
% 0.14/0.47 ![X0,X1,X2]: (multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1))=X2)),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.47 fof(f4,plain,(
% 0.14/0.47 ~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)),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.47 fof(f5,plain,(
% 0.14/0.47 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1),X3))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.14/0.47 fof(f11,plain,(
% 0.14/0.47 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X2,X1)))=X2)),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f5,f3])).
% 0.14/0.47 fof(f20,plain,(
% 0.14/0.47 ![X0,X1,X2]: (multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X2,X1))),X2)=X0)),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f11,f11])).
% 0.14/0.47 fof(f34,plain,(
% 0.14/0.47 ![X0,X1,X2,X3]: (multiply(inverse(multiply(inverse(X0),multiply(X1,X2))),X1)=inverse(multiply(inverse(multiply(X0,X3)),multiply(X2,X3))))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f20,f20])).
% 0.14/0.47 fof(f35,plain,(
% 0.14/0.47 ![X0,X1,X2,X3]: (multiply(inverse(multiply(inverse(X0),multiply(X1,multiply(X2,multiply(X0,X3))))),X1)=inverse(multiply(X2,X3)))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f11,f20])).
% 0.14/0.47 fof(f43,plain,(
% 0.14/0.47 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,X1)),multiply(X2,multiply(X3,X1)))=multiply(multiply(inverse(X0),X2),X3))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f20,f5])).
% 0.14/0.47 fof(f44,plain,(
% 0.14/0.47 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X2,X1)))=X2)),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f20,f3])).
% 0.14/0.47 fof(f47,plain,(
% 0.14/0.47 ![X0,X1,X2,X3]: (multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X2,X1))),multiply(X3,X2)))=X3)),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f20,f11])).
% 0.14/0.47 fof(f48,plain,(
% 0.14/0.47 ![X0,X1,X2,X3,X4]: (multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X2,X1))),multiply(X3,X2))=multiply(multiply(inverse(multiply(inverse(X0),X4)),X3),X4))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f20,f5])).
% 0.14/0.47 fof(f51,plain,(
% 0.14/0.47 ~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)),
% 0.14/0.47 inference(backward_demodulation,[status(thm)],[f52,f4])).
% 0.14/0.47 fof(f52,plain,(
% 0.14/0.47 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f43,f44])).
% 0.14/0.47 fof(f53,plain,(
% 0.14/0.47 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.14/0.47 inference(trivial_equality_resolution,[status(thm)],[f51])).
% 0.14/0.47 fof(f55,plain,(
% 0.14/0.47 ![X0,X1,X2]: (X0=multiply(multiply(inverse(multiply(multiply(inverse(X1),X1),X2)),X0),X2))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f3,f52])).
% 0.14/0.47 fof(f60,plain,(
% 0.14/0.47 ![X0,X1,X2]: (multiply(inverse(multiply(inverse(X0),multiply(X1,X0))),X1)=multiply(inverse(X2),X2))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f52,f20])).
% 0.14/0.47 fof(f61,plain,(
% 0.14/0.47 ![X0,X1,X2,X3]: (multiply(multiply(inverse(X0),X0),multiply(X1,X2))=multiply(multiply(inverse(multiply(inverse(X2),X3)),X1),X3))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f52,f5])).
% 0.14/0.47 fof(f63,plain,(
% 0.14/0.47 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X0),X1))),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f52,f55])).
% 0.14/0.47 fof(f66,plain,(
% 0.14/0.47 ![X0,X1,X2,X3]: (multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X2,X1))),multiply(X3,X2))=multiply(X3,X0))),
% 0.14/0.47 inference(backward_demodulation,[status(thm)],[f69,f48])).
% 0.14/0.47 fof(f69,plain,(
% 0.14/0.47 ![X0,X1,X2]: (multiply(X0,X1)=multiply(multiply(inverse(multiply(inverse(X1),X2)),X0),X2))),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f52,f61])).
% 0.14/0.47 fof(f72,plain,(
% 0.14/0.47 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 0.14/0.47 inference(backward_demodulation,[status(thm)],[f66,f47])).
% 0.14/0.47 fof(f77,plain,(
% 0.14/0.47 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.14/0.47 inference(backward_demodulation,[status(thm)],[f72,f60])).
% 0.14/0.47 fof(f79,plain,(
% 0.14/0.47 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.14/0.47 inference(backward_subsumption_resolution,[status(thm)],[f53,f77])).
% 0.14/0.47 fof(f81,plain,(
% 0.14/0.47 ![X0,X1,X2]: (X0=multiply(X1,multiply(inverse(multiply(X1,X2)),multiply(X0,X2))))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f20,f63])).
% 0.14/0.47 fof(f85,plain,(
% 0.14/0.47 ![X0,X1,X2]: (multiply(inverse(multiply(inverse(X0),multiply(X1,X2))),X1)=multiply(inverse(X2),X0))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f63,f20])).
% 0.14/0.47 fof(f90,plain,(
% 0.14/0.47 ![X0,X1,X2]: (multiply(inverse(multiply(X0,multiply(X1,X2))),X1)=inverse(multiply(X0,X2)))),
% 0.14/0.47 inference(backward_demodulation,[status(thm)],[f85,f35])).
% 0.14/0.47 fof(f91,plain,(
% 0.14/0.47 ![X0,X1,X2]: (multiply(inverse(X0),X1)=inverse(multiply(inverse(multiply(X1,X2)),multiply(X0,X2))))),
% 0.14/0.47 inference(backward_demodulation,[status(thm)],[f85,f34])).
% 0.14/0.47 fof(f102,plain,(
% 0.14/0.47 ![X0,X1]: (inverse(multiply(inverse(X0),X1))=multiply(inverse(X1),X0))),
% 0.14/0.47 inference(backward_demodulation,[status(thm)],[f90,f85])).
% 0.14/0.47 fof(f115,plain,(
% 0.14/0.47 ![X0,X1,X2]: (multiply(inverse(X0),X1)=multiply(inverse(multiply(X0,X2)),multiply(X1,X2)))),
% 0.14/0.47 inference(backward_demodulation,[status(thm)],[f102,f91])).
% 0.14/0.47 fof(f122,plain,(
% 0.14/0.47 ![X0,X1]: (X0=multiply(X1,multiply(inverse(X1),X0)))),
% 0.14/0.47 inference(backward_demodulation,[status(thm)],[f115,f81])).
% 0.14/0.47 fof(f154,plain,(
% 0.14/0.47 ![X0]: (X0=inverse(inverse(X0)))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f72,f122])).
% 0.14/0.47 fof(f157,plain,(
% 0.14/0.47 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f72,f122])).
% 0.14/0.47 fof(f161,plain,(
% 0.14/0.47 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(inverse(inverse(multiply(X0,X2))),X1))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f122,f3])).
% 0.14/0.47 fof(f169,plain,(
% 0.14/0.47 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.14/0.47 inference(backward_subsumption_resolution,[status(thm)],[f79,f157])).
% 0.14/0.47 fof(f183,plain,(
% 0.14/0.47 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X2),X1))),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f154,f161])).
% 0.14/0.47 fof(f190,plain,(
% 0.14/0.47 ~multiply(a3,multiply(c3,b3))=multiply(a3,multiply(b3,c3))),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f183,f169])).
% 0.14/0.47 fof(f239,plain,(
% 0.14/0.47 ~multiply(a3,multiply(c3,b3))=multiply(a3,multiply(c3,b3))),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f157,f190])).
% 0.14/0.47 fof(f241,plain,(
% 0.14/0.47 $false),
% 0.14/0.47 inference(trivial_equality_resolution,[status(thm)],[f239])).
% 0.14/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.50 % Elapsed time: 0.120825 seconds
% 0.14/0.50 % CPU time: 0.270398 seconds
% 0.14/0.50 % Total memory used: 69.868 MB
% 0.14/0.50 % Net memory used: 69.244 MB
%------------------------------------------------------------------------------