%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP091-1 : 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 : n006.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 0.09s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP091-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % 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 19:56:57 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.43 % Refutation found
% 0.09/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.43 fof(f1,axiom,(
% 0.09/0.43 (![X,Y,Z]: (divide(divide(X,divide(divide(X,Y),Z)),Y) = Z ))),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f2,axiom,(
% 0.09/0.43 (![X,Y,Z]: (multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)) ))),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f3,axiom,(
% 0.09/0.43 (![X,Z]: (inverse(X) = divide(divide(Z,Z),X) ))),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f4,axiom,(
% 0.09/0.43 (![X]: (identity = divide(X,X) ))),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f5,negated_conjecture,(
% 0.09/0.43 ( 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) ) ),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f6,plain,(
% 0.09/0.43 ![X0,X1,X2]: (divide(divide(X0,divide(divide(X0,X1),X2)),X1)=X2)),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.43 fof(f7,plain,(
% 0.09/0.43 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43 fof(f8,plain,(
% 0.09/0.43 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.43 fof(f9,plain,(
% 0.09/0.43 ![X0]: (identity=divide(X0,X0))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.43 fof(f10,plain,(
% 0.09/0.43 ~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)),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.43 fof(f11,plain,(
% 0.09/0.43 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.09/0.43 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.09/0.43 fof(f12,plain,(
% 0.09/0.43 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.09/0.43 inference(backward_demodulation,[status(thm)],[f9,f8])).
% 0.09/0.43 fof(f13,plain,(
% 0.09/0.43 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f12,f11])).
% 0.09/0.43 fof(f15,plain,(
% 0.09/0.43 identity=inverse(identity)),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f12,f9])).
% 0.09/0.43 fof(f16,plain,(
% 0.09/0.43 ![X0]: (identity=multiply(inverse(X0),X0))),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f11,f9])).
% 0.09/0.43 fof(f19,plain,(
% 0.09/0.43 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.09/0.43 inference(backward_demodulation,[status(thm)],[f16,f10])).
% 0.09/0.43 fof(f20,plain,(
% 0.09/0.43 ~identity=multiply(inverse(b1),b1)|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f16,f19])).
% 0.09/0.43 fof(f21,plain,(
% 0.09/0.43 ~identity=identity|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f16,f20])).
% 0.09/0.43 fof(f22,plain,(
% 0.09/0.43 ~identity=identity|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f13,f21])).
% 0.09/0.43 fof(f23,plain,(
% 0.09/0.43 ~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.09/0.43 inference(trivial_equality_resolution,[status(thm)],[f22])).
% 0.09/0.43 fof(f24,plain,(
% 0.09/0.43 ![X0]: (multiply(X0,identity)=divide(X0,identity))),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f15,f11])).
% 0.09/0.43 fof(f51,plain,(
% 0.09/0.43 ![X0,X1]: (divide(divide(X0,divide(identity,X1)),X0)=X1)),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f9,f6])).
% 0.09/0.43 fof(f63,plain,(
% 0.09/0.43 ![X0,X1]: (divide(divide(X0,inverse(X1)),X0)=X1)),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f12,f51])).
% 0.09/0.43 fof(f64,plain,(
% 0.09/0.43 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f11,f63])).
% 0.09/0.43 fof(f69,plain,(
% 0.09/0.43 ![X0]: (divide(identity,inverse(X0))=X0)),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f16,f64])).
% 0.09/0.43 fof(f70,plain,(
% 0.09/0.43 ![X0]: (divide(inverse(inverse(X0)),identity)=X0)),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f13,f64])).
% 0.09/0.43 fof(f75,plain,(
% 0.09/0.43 ~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.09/0.43 inference(backward_demodulation,[status(thm)],[f78,f23])).
% 0.09/0.43 fof(f78,plain,(
% 0.09/0.43 ![X0]: (inverse(inverse(X0))=X0)),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f12,f69])).
% 0.09/0.43 fof(f79,plain,(
% 0.09/0.43 ![X0]: (multiply(inverse(inverse(X0)),identity)=X0)),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f24,f70])).
% 0.09/0.43 fof(f80,plain,(
% 0.09/0.43 ![X0]: (X0=divide(X0,identity))),
% 0.09/0.43 inference(backward_demodulation,[status(thm)],[f82,f24])).
% 0.09/0.43 fof(f82,plain,(
% 0.09/0.43 ![X0]: (multiply(X0,identity)=X0)),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f78,f79])).
% 0.09/0.43 fof(f84,plain,(
% 0.09/0.43 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.09/0.43 inference(trivial_equality_resolution,[status(thm)],[f75])).
% 0.09/0.43 fof(f88,plain,(
% 0.09/0.43 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f78,f11])).
% 0.09/0.43 fof(f97,plain,(
% 0.09/0.43 ![X0,X1]: (divide(X0,divide(divide(X0,identity),X1))=X1)),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f6,f80])).
% 0.09/0.43 fof(f106,plain,(
% 0.09/0.43 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f80,f97])).
% 0.09/0.43 fof(f111,plain,(
% 0.09/0.43 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f64,f106])).
% 0.09/0.43 fof(f118,plain,(
% 0.09/0.43 ![X0,X1,X2]: (divide(divide(X0,X1),X2)=divide(divide(X0,X2),X1))),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f106,f6])).
% 0.09/0.43 fof(f126,plain,(
% 0.09/0.43 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),X1)=X0)),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f11,f111])).
% 0.09/0.43 fof(f135,plain,(
% 0.09/0.43 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f88,f126])).
% 0.09/0.43 fof(f139,plain,(
% 0.09/0.43 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f64,f135])).
% 0.09/0.43 fof(f149,plain,(
% 0.09/0.43 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f84,f139])).
% 0.09/0.43 fof(f252,plain,(
% 0.09/0.43 ![X0,X1]: (multiply(inverse(X0),X1)=divide(X1,X0))),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f139,f88])).
% 0.09/0.43 fof(f325,plain,(
% 0.09/0.43 ![X0,X1]: (multiply(X0,X1)=divide(X1,inverse(X0)))),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f78,f252])).
% 0.09/0.43 fof(f525,plain,(
% 0.09/0.43 ![X0,X1,X2]: (multiply(divide(X0,X1),X2)=divide(divide(X0,inverse(X2)),X1))),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f11,f118])).
% 0.09/0.43 fof(f536,plain,(
% 0.09/0.43 ![X0,X1,X2]: (divide(multiply(X0,X1),X2)=divide(divide(X0,X2),inverse(X1)))),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f11,f118])).
% 0.09/0.43 fof(f575,plain,(
% 0.09/0.43 ![X0,X1,X2]: (multiply(divide(X0,X1),X2)=divide(multiply(X2,X0),X1))),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f325,f525])).
% 0.09/0.43 fof(f589,plain,(
% 0.09/0.43 ![X0,X1,X2]: (multiply(divide(X0,X1),X2)=divide(divide(X2,X1),inverse(X0)))),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f575,f536])).
% 0.09/0.43 fof(f597,plain,(
% 0.09/0.43 ![X0,X1,X2]: (multiply(divide(X0,X1),X2)=multiply(X0,divide(X2,X1)))),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f325,f589])).
% 0.09/0.43 fof(f865,plain,(
% 0.09/0.43 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X1,divide(X2,inverse(X0))))),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f325,f597])).
% 0.09/0.43 fof(f866,plain,(
% 0.09/0.43 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,divide(X2,inverse(X1))))),
% 0.09/0.43 inference(paramodulation,[status(thm)],[f11,f597])).
% 0.09/0.43 fof(f894,plain,(
% 0.09/0.43 ~multiply(b3,multiply(a3,c3))=multiply(a3,multiply(b3,c3))),
% 0.09/0.43 inference(backward_demodulation,[status(thm)],[f905,f149])).
% 0.09/0.43 fof(f905,plain,(
% 0.09/0.43 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X1,multiply(X0,X2)))),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f325,f865])).
% 0.09/0.43 fof(f906,plain,(
% 0.09/0.43 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,divide(X2,inverse(X0))))),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f905,f866])).
% 0.09/0.43 fof(f907,plain,(
% 0.09/0.43 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(X0,X2)))),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f325,f906])).
% 0.09/0.43 fof(f924,plain,(
% 0.09/0.43 $false),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f894,f907])).
% 0.09/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.45 % Elapsed time: 0.087191 seconds
% 0.09/0.45 % CPU time: 0.416844 seconds
% 0.09/0.45 % Total memory used: 72.452 MB
% 0.09/0.45 % Net memory used: 71.668 MB
%------------------------------------------------------------------------------