%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP067-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP067-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n008.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 20 19:57:25 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f1,axiom,(
% 0.12/0.41 (![X,Y,Z]: (divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z) = Y ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f2,axiom,(
% 0.12/0.41 (![X,Y]: (multiply(X,Y) = divide(X,divide(identity,Y)) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f3,axiom,(
% 0.12/0.41 (![X]: (inverse(X) = divide(identity,X) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f4,axiom,(
% 0.12/0.41 (![X]: (identity = divide(X,X) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f5,negated_conjecture,(
% 0.12/0.41 ( multiply(inverse(a1),a1) != identity| multiply(identity,a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f6,plain,(
% 0.12/0.41 ![X0,X1,X2]: (divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2)=X1)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.41 fof(f7,plain,(
% 0.12/0.41 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.41 fof(f8,plain,(
% 0.12/0.41 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.41 fof(f9,plain,(
% 0.12/0.41 ![X0]: (identity=divide(X0,X0))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.41 fof(f10,plain,(
% 0.12/0.41 ~multiply(inverse(a1),a1)=identity|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.41 fof(f11,plain,(
% 0.12/0.41 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.12/0.41 fof(f12,plain,(
% 0.12/0.41 ![X0,X1,X2]: (divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(inverse(X0),X2)))),X2)=X1)),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.12/0.41 fof(f13,plain,(
% 0.12/0.41 ![X0,X1,X2]: (divide(divide(identity,divide(X0,divide(X1,divide(inverse(X0),X2)))),X2)=X1)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f9,f12])).
% 0.12/0.41 fof(f14,plain,(
% 0.12/0.41 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2)=X1)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f8,f13])).
% 0.12/0.41 fof(f15,plain,(
% 0.12/0.41 inverse(identity)=identity),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f9,f8])).
% 0.12/0.41 fof(f17,plain,(
% 0.12/0.41 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f8,f11])).
% 0.12/0.41 fof(f18,plain,(
% 0.12/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f9,f11])).
% 0.12/0.41 fof(f19,plain,(
% 0.12/0.41 ![X0]: (multiply(X0,identity)=divide(X0,identity))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f15,f11])).
% 0.12/0.41 fof(f22,plain,(
% 0.12/0.41 ~multiply(inverse(a1),a1)=identity|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f17,f10])).
% 0.12/0.41 fof(f23,plain,(
% 0.12/0.41 ~identity=identity|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f18,f22])).
% 0.12/0.41 fof(f24,plain,(
% 0.12/0.41 ~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f23])).
% 0.12/0.41 fof(f26,plain,(
% 0.12/0.41 ![X0,X1]: (divide(inverse(inverse(divide(X0,divide(inverse(identity),X1)))),X1)=X0)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f8,f14])).
% 0.12/0.41 fof(f32,plain,(
% 0.12/0.41 ![X0,X1]: (divide(inverse(divide(X0,divide(X1,identity))),inverse(X0))=X1)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f9,f14])).
% 0.12/0.41 fof(f36,plain,(
% 0.12/0.41 ![X0,X1]: (divide(inverse(inverse(divide(X0,divide(identity,X1)))),X1)=X0)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f15,f26])).
% 0.12/0.41 fof(f37,plain,(
% 0.12/0.41 ![X0,X1]: (divide(inverse(inverse(divide(X0,inverse(X1)))),X1)=X0)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f8,f36])).
% 0.12/0.41 fof(f38,plain,(
% 0.12/0.41 ![X0,X1]: (divide(inverse(inverse(multiply(X0,X1))),X1)=X0)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f11,f37])).
% 0.12/0.41 fof(f42,plain,(
% 0.12/0.41 ![X0,X1]: (multiply(inverse(divide(X0,divide(X1,identity))),X0)=X1)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f11,f32])).
% 0.12/0.41 fof(f43,plain,(
% 0.12/0.41 ![X0,X1]: (multiply(inverse(divide(X0,multiply(X1,identity))),X0)=X1)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f19,f42])).
% 0.12/0.41 fof(f67,plain,(
% 0.12/0.41 ![X0]: (multiply(inverse(inverse(multiply(X0,identity))),identity)=X0)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f8,f43])).
% 0.12/0.41 fof(f68,plain,(
% 0.12/0.41 ![X0]: (multiply(inverse(identity),multiply(X0,identity))=X0)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f9,f43])).
% 0.12/0.41 fof(f70,plain,(
% 0.12/0.41 ![X0]: (multiply(identity,multiply(X0,identity))=X0)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f15,f68])).
% 0.12/0.41 fof(f71,plain,(
% 0.12/0.41 ![X0]: (multiply(X0,identity)=X0)),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f72,f67])).
% 0.12/0.41 fof(f72,plain,(
% 0.12/0.41 ![X0]: (inverse(inverse(multiply(X0,identity)))=X0)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f17,f70])).
% 0.12/0.41 fof(f76,plain,(
% 0.12/0.41 ![X0]: (X0=divide(X0,identity))),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f71,f19])).
% 0.12/0.41 fof(f77,plain,(
% 0.12/0.41 ![X0]: (inverse(inverse(X0))=X0)),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f71,f72])).
% 0.12/0.41 fof(f80,plain,(
% 0.12/0.41 ~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f77,f24])).
% 0.12/0.41 fof(f81,plain,(
% 0.12/0.41 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f77,f38])).
% 0.12/0.41 fof(f83,plain,(
% 0.12/0.41 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f80])).
% 0.12/0.41 fof(f84,plain,(
% 0.12/0.41 ![X0,X1]: (inverse(divide(X0,divide(X1,divide(inverse(X0),identity))))=X1)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f14,f76])).
% 0.12/0.41 fof(f91,plain,(
% 0.12/0.41 ![X0,X1]: (inverse(divide(X0,divide(X1,inverse(X0))))=X1)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f76,f84])).
% 0.12/0.41 fof(f92,plain,(
% 0.12/0.41 ![X0,X1]: (inverse(divide(X0,multiply(X1,X0)))=X1)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f11,f91])).
% 0.12/0.41 fof(f100,plain,(
% 0.12/0.41 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f77,f11])).
% 0.12/0.41 fof(f105,plain,(
% 0.12/0.41 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),X1)=X0)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f11,f81])).
% 0.12/0.41 fof(f109,plain,(
% 0.12/0.41 ![X0,X1,X2]: (divide(inverse(divide(X0,X1)),X2)=multiply(X1,divide(inverse(X0),X2)))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f81,f14])).
% 0.12/0.41 fof(f111,plain,(
% 0.12/0.41 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f100,f105])).
% 0.12/0.41 fof(f129,plain,(
% 0.12/0.41 ![X0,X1]: (inverse(divide(X0,X1))=divide(X1,X0))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f111,f92])).
% 0.12/0.41 fof(f132,plain,(
% 0.12/0.41 ![X0,X1]: (inverse(X0)=divide(X1,multiply(X0,X1)))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f92,f77])).
% 0.12/0.41 fof(f138,plain,(
% 0.12/0.41 ![X0,X1,X2]: (divide(divide(X0,X1),X2)=multiply(X0,divide(inverse(X1),X2)))),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f129,f109])).
% 0.12/0.41 fof(f163,plain,(
% 0.12/0.41 ![X0,X1]: (inverse(multiply(X0,X1))=divide(inverse(X1),X0))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f11,f129])).
% 0.12/0.41 fof(f171,plain,(
% 0.12/0.41 ![X0,X1,X2]: (divide(divide(X0,X1),X2)=multiply(X0,inverse(multiply(X2,X1))))),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f163,f138])).
% 0.12/0.41 fof(f182,plain,(
% 0.12/0.41 ![X0,X1,X2]: (divide(divide(X0,X1),X2)=divide(X0,multiply(X2,X1)))),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f100,f171])).
% 0.12/0.41 fof(f190,plain,(
% 0.12/0.41 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f132,f111])).
% 0.12/0.41 fof(f384,plain,(
% 0.12/0.41 ![X0,X1,X2]: (multiply(divide(X0,multiply(X1,X2)),X1)=divide(X0,X2))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f182,f111])).
% 0.12/0.41 fof(f462,plain,(
% 0.12/0.41 ![X0,X1,X2]: (multiply(divide(X0,X1),divide(X1,X2))=divide(X0,X2))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f111,f384])).
% 0.12/0.41 fof(f519,plain,(
% 0.12/0.41 ![X0,X1,X2]: (multiply(divide(X0,X1),multiply(X1,X2))=divide(X0,inverse(X2)))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f11,f462])).
% 0.12/0.41 fof(f551,plain,(
% 0.12/0.41 ![X0,X1,X2]: (multiply(divide(X0,X1),multiply(X1,X2))=multiply(X0,X2))),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f11,f519])).
% 0.12/0.41 fof(f622,plain,(
% 0.12/0.41 ![X0,X1,X2]: (multiply(divide(X0,inverse(X1)),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f190,f551])).
% 0.12/0.41 fof(f641,plain,(
% 0.12/0.41 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f652,f83])).
% 0.12/0.41 fof(f652,plain,(
% 0.12/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f11,f622])).
% 0.12/0.41 fof(f670,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f641])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.44 % Elapsed time: 0.063476 seconds
% 0.12/0.44 % CPU time: 0.221435 seconds
% 0.12/0.44 % Total memory used: 68.955 MB
% 0.12/0.44 % Net memory used: 68.355 MB
%------------------------------------------------------------------------------