%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP557-1 : TPTP v9.3.1. Released v2.6.0.
% 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 12:36:48 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP557-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:17:24 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,axiom,(
% 0.10/0.39 (![A,B,C]: (divide(A,inverse(divide(divide(B,C),divide(A,C)))) = B ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f2,axiom,(
% 0.10/0.39 (![A,B]: (multiply(A,B) = divide(A,inverse(B)) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f3,negated_conjecture,(
% 0.10/0.39 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f4,plain,(
% 0.10/0.39 ![X0,X1,X2]: (divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2))))=X1)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.39 fof(f5,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.39 fof(f6,plain,(
% 0.10/0.39 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.39 fof(f12,plain,(
% 0.10/0.39 ![X0,X1,X2]: (multiply(X0,divide(divide(X1,X2),divide(X0,X2)))=X1)),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.10/0.39 fof(f13,plain,(
% 0.10/0.39 ![X0,X1,X2]: (multiply(X0,divide(multiply(X1,X2),divide(X0,inverse(X2))))=X1)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f5,f12])).
% 0.10/0.39 fof(f15,plain,(
% 0.10/0.39 ![X0,X1,X2]: (multiply(X0,divide(multiply(X1,X2),multiply(X0,X2)))=X1)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f5,f13])).
% 0.10/0.39 fof(f17,plain,(
% 0.10/0.39 ![X0,X1,X2,X3]: (multiply(X0,divide(X1,multiply(X0,divide(multiply(X1,X2),multiply(X3,X2)))))=X3)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f15,f15])).
% 0.10/0.39 fof(f21,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(X0,divide(X1,X1))=X0)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f15,f17])).
% 0.10/0.39 fof(f32,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(X0,multiply(inverse(X1),X1))=X0)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f5,f21])).
% 0.10/0.39 fof(f33,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f21,f17])).
% 0.10/0.39 fof(f45,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f5,f33])).
% 0.10/0.39 fof(f68,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(inverse(divide(X0,X1)),X0)=X1)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f33,f45])).
% 0.10/0.39 fof(f94,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(inverse(X0),X1)=inverse(divide(X0,X1)))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f68,f45])).
% 0.10/0.39 fof(f99,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=X1)),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f94,f68])).
% 0.10/0.39 fof(f155,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f32,f99])).
% 0.10/0.39 fof(f164,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f6,f155])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.032677 seconds
% 0.14/0.40 % CPU time: 0.071786 seconds
% 0.14/0.40 % Total memory used: 3.062 MB
% 0.14/0.40 % Net memory used: 2.958 MB
%------------------------------------------------------------------------------