%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP068-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 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 12:35:35 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP068-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n015.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 19:59:50 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f1,axiom,(
% 0.12/0.40 (![X,Y,Z]: (divide(X,divide(divide(divide(identity,Y),Z),divide(divide(divide(X,X),X),Z))) = Y ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f2,axiom,(
% 0.12/0.40 (![X,Y]: (multiply(X,Y) = divide(X,divide(identity,Y)) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f3,axiom,(
% 0.12/0.40 (![X]: (inverse(X) = divide(identity,X) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f4,axiom,(
% 0.12/0.40 (![X]: (identity = divide(X,X) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f5,negated_conjecture,(
% 0.12/0.40 ( multiply(inverse(a1),a1) != identity| multiply(identity,a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f6,plain,(
% 0.12/0.40 ![X0,X1,X2]: (divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(divide(X0,X0),X0),X2)))=X1)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.40 fof(f7,plain,(
% 0.12/0.40 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.40 fof(f8,plain,(
% 0.12/0.40 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.40 fof(f9,plain,(
% 0.12/0.40 ![X0]: (identity=divide(X0,X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.40 fof(f10,plain,(
% 0.12/0.40 ~multiply(inverse(a1),a1)=identity|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.40 fof(f11,plain,(
% 0.12/0.40 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.12/0.40 fof(f12,plain,(
% 0.12/0.40 ![X0,X1,X2]: (divide(X0,divide(divide(inverse(X1),X2),divide(divide(divide(X0,X0),X0),X2)))=X1)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.12/0.40 fof(f13,plain,(
% 0.12/0.40 ![X0,X1,X2]: (divide(X0,divide(divide(inverse(X1),X2),divide(divide(identity,X0),X2)))=X1)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f9,f12])).
% 0.12/0.40 fof(f14,plain,(
% 0.12/0.40 ![X0,X1,X2]: (divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2)))=X1)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f8,f13])).
% 0.12/0.40 fof(f15,plain,(
% 0.12/0.40 inverse(identity)=identity),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f9,f8])).
% 0.12/0.40 fof(f17,plain,(
% 0.12/0.40 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f8,f11])).
% 0.12/0.40 fof(f18,plain,(
% 0.12/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f9,f11])).
% 0.12/0.40 fof(f19,plain,(
% 0.12/0.40 ![X0]: (multiply(X0,identity)=divide(X0,identity))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f15,f11])).
% 0.12/0.40 fof(f22,plain,(
% 0.12/0.40 ~multiply(inverse(a1),a1)=identity|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f17,f10])).
% 0.12/0.40 fof(f23,plain,(
% 0.12/0.40 ~identity=identity|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f18,f22])).
% 0.12/0.40 fof(f24,plain,(
% 0.12/0.40 ~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f23])).
% 0.12/0.40 fof(f25,plain,(
% 0.12/0.40 ![X0,X1]: (inverse(divide(divide(inverse(X0),X1),divide(inverse(identity),X1)))=X0)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f8,f14])).
% 0.12/0.40 fof(f26,plain,(
% 0.12/0.40 ![X0]: (divide(X0,identity)=X0)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f9,f14])).
% 0.12/0.40 fof(f29,plain,(
% 0.12/0.40 ![X0,X1]: (divide(X0,divide(identity,divide(inverse(X0),inverse(X1))))=X1)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f9,f14])).
% 0.12/0.40 fof(f36,plain,(
% 0.12/0.40 ![X0,X1]: (inverse(divide(divide(inverse(X0),X1),divide(identity,X1)))=X0)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f15,f25])).
% 0.12/0.40 fof(f37,plain,(
% 0.12/0.40 ![X0,X1]: (inverse(divide(divide(inverse(X0),X1),inverse(X1)))=X0)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f8,f36])).
% 0.12/0.40 fof(f38,plain,(
% 0.12/0.40 ![X0,X1]: (inverse(multiply(divide(inverse(X0),X1),X1))=X0)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f11,f37])).
% 0.12/0.40 fof(f39,plain,(
% 0.12/0.40 ![X0]: (multiply(X0,identity)=X0)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f26,f19])).
% 0.12/0.40 fof(f41,plain,(
% 0.12/0.40 ![X0,X1]: (divide(X0,inverse(divide(inverse(X0),inverse(X1))))=X1)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f8,f29])).
% 0.12/0.40 fof(f42,plain,(
% 0.12/0.40 ![X0,X1]: (multiply(X0,divide(inverse(X0),inverse(X1)))=X1)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f11,f41])).
% 0.12/0.40 fof(f43,plain,(
% 0.12/0.40 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f11,f42])).
% 0.12/0.40 fof(f74,plain,(
% 0.12/0.40 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f39,f43])).
% 0.12/0.40 fof(f86,plain,(
% 0.12/0.40 ![X0]: (multiply(X0,identity)=inverse(inverse(X0)))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f74,f43])).
% 0.12/0.40 fof(f93,plain,(
% 0.12/0.40 ~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f99,f24])).
% 0.12/0.40 fof(f99,plain,(
% 0.12/0.40 ![X0]: (X0=inverse(inverse(X0)))),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f39,f86])).
% 0.12/0.40 fof(f100,plain,(
% 0.12/0.40 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f93])).
% 0.12/0.40 fof(f104,plain,(
% 0.12/0.40 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f99,f43])).
% 0.12/0.40 fof(f106,plain,(
% 0.12/0.40 ![X0,X1,X2]: (divide(inverse(X0),divide(divide(inverse(X1),X2),divide(X0,X2)))=X1)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f99,f14])).
% 0.12/0.40 fof(f108,plain,(
% 0.12/0.40 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f99,f11])).
% 0.12/0.40 fof(f135,plain,(
% 0.12/0.40 ![X0,X1]: (multiply(inverse(X0),divide(X0,X1))=inverse(X1))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f108,f104])).
% 0.12/0.40 fof(f176,plain,(
% 0.12/0.40 ![X0,X1]: (inverse(multiply(divide(X0,X1),X1))=inverse(X0))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f99,f38])).
% 0.12/0.40 fof(f212,plain,(
% 0.12/0.40 ![X0,X1]: (multiply(divide(X0,X1),X1)=inverse(inverse(X0)))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f176,f99])).
% 0.12/0.40 fof(f226,plain,(
% 0.12/0.40 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f99,f212])).
% 0.12/0.40 fof(f230,plain,(
% 0.12/0.40 ![X0,X1]: (divide(divide(X0,inverse(X1)),X1)=X0)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f108,f226])).
% 0.12/0.40 fof(f240,plain,(
% 0.12/0.40 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f11,f230])).
% 0.12/0.40 fof(f248,plain,(
% 0.12/0.40 ![X0,X1]: (divide(X0,multiply(X1,X0))=inverse(X1))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f104,f240])).
% 0.12/0.40 fof(f280,plain,(
% 0.12/0.40 ![X0,X1]: (multiply(inverse(X0),inverse(X1))=inverse(multiply(X1,X0)))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f248,f135])).
% 0.12/0.40 fof(f291,plain,(
% 0.12/0.40 ![X0,X1,X2]: (inverse(multiply(divide(divide(inverse(X0),X1),divide(X2,X1)),X2))=X0)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f296,f106])).
% 0.12/0.40 fof(f296,plain,(
% 0.12/0.40 ![X0,X1]: (divide(inverse(X0),X1)=inverse(multiply(X1,X0)))),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f108,f280])).
% 0.12/0.40 fof(f298,plain,(
% 0.12/0.40 ![X0,X1,X2]: (inverse(multiply(divide(inverse(multiply(X0,X1)),divide(X2,X0)),X2))=X1)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f296,f291])).
% 0.12/0.40 fof(f299,plain,(
% 0.12/0.40 ![X0,X1,X2]: (inverse(multiply(inverse(multiply(divide(X0,X1),multiply(X1,X2))),X0))=X2)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f296,f298])).
% 0.12/0.40 fof(f327,plain,(
% 0.12/0.40 ![X0,X1]: (multiply(inverse(X0),X1)=inverse(multiply(inverse(X1),X0)))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f11,f296])).
% 0.12/0.40 fof(f340,plain,(
% 0.12/0.40 ![X0,X1,X2]: (multiply(inverse(X0),multiply(divide(X0,X1),multiply(X1,X2)))=X2)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f327,f299])).
% 0.12/0.40 fof(f547,plain,(
% 0.12/0.40 ![X0,X1,X2]: (multiply(X0,X1)=multiply(divide(X0,X2),multiply(X2,X1)))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f340,f43])).
% 0.12/0.40 fof(f597,plain,(
% 0.12/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f240,f547])).
% 0.12/0.40 fof(f619,plain,(
% 0.12/0.40 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f597,f100])).
% 0.12/0.40 fof(f656,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f619])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.068002 seconds
% 0.12/0.43 % CPU time: 0.274964 seconds
% 0.12/0.43 % Total memory used: 70.173 MB
% 0.12/0.43 % Net memory used: 69.588 MB
%------------------------------------------------------------------------------