%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP553-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP553-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.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 20:16:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38 fof(f1,axiom,(
% 0.09/0.38 (![A,B,C]: (divide(divide(A,inverse(divide(B,divide(A,C)))),C) = B ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f2,axiom,(
% 0.09/0.38 (![A,B]: (multiply(A,B) = divide(A,inverse(B)) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f3,negated_conjecture,(
% 0.09/0.38 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f4,plain,(
% 0.09/0.38 ![X0,X1,X2]: (divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2)=X1)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.38 fof(f5,plain,(
% 0.09/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.38 fof(f6,plain,(
% 0.09/0.38 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.38 fof(f12,plain,(
% 0.09/0.38 ![X0,X1,X2]: (divide(multiply(X0,divide(X1,divide(X0,X2))),X2)=X1)),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.09/0.38 fof(f13,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(multiply(X0,divide(X1,divide(X0,inverse(X2)))),X2)=X1)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f5,f12])).
% 0.09/0.38 fof(f14,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (divide(multiply(X0,X1),X2)=multiply(X3,divide(X1,divide(X3,divide(X0,X2)))))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f12,f12])).
% 0.09/0.38 fof(f18,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(multiply(X0,divide(X1,multiply(X0,X2))),X2)=X1)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f5,f13])).
% 0.09/0.38 fof(f21,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),X2)=multiply(X3,divide(X1,divide(X3,multiply(X0,X2)))))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f12,f18])).
% 0.09/0.38 fof(f27,plain,(
% 0.09/0.38 ![X0,X1,X2]: (divide(multiply(multiply(X0,X1),X2),multiply(X0,X2))=X1)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f21,f12])).
% 0.09/0.38 fof(f37,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (divide(multiply(multiply(multiply(X0,divide(X1,multiply(X0,X2))),X3),X2),X1)=X3)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f18,f27])).
% 0.09/0.38 fof(f45,plain,(
% 0.09/0.38 ![X0,X1,X2,X3,X4]: (divide(multiply(X0,X1),X2)=multiply(multiply(X3,divide(X4,divide(X3,divide(X0,X2)))),divide(X1,X4)))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f12,f14])).
% 0.09/0.38 fof(f56,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (divide(multiply(X0,X1),X2)=multiply(divide(multiply(X0,X3),X2),divide(X1,X3)))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f14,f45])).
% 0.09/0.38 fof(f80,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (divide(multiply(multiply(X0,X1),X2),multiply(X0,X3))=multiply(X1,divide(X2,X3)))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f27,f56])).
% 0.09/0.38 fof(f84,plain,(
% 0.09/0.38 ![X0,X1,X2,X3,X4]: (divide(multiply(multiply(X0,divide(X1,multiply(X0,X2))),X3),X4)=multiply(divide(X1,X4),divide(X3,X2)))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f18,f56])).
% 0.09/0.38 fof(f89,plain,(
% 0.09/0.38 ![X0,X1,X2,X3,X4]: (divide(multiply(X0,multiply(X1,divide(X2,divide(X1,X3)))),X4)=multiply(divide(multiply(X0,X3),X4),X2))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f12,f56])).
% 0.09/0.38 fof(f96,plain,(
% 0.09/0.38 ![X0,X1]: (multiply(X0,divide(X1,X1))=X0)),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f80,f27])).
% 0.09/0.38 fof(f105,plain,(
% 0.09/0.38 ![X0,X1,X2]: (X0=multiply(X1,divide(X0,multiply(X1,divide(X2,X2)))))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f18,f96])).
% 0.09/0.38 fof(f117,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),divide(X2,X2))=multiply(X3,divide(X1,divide(X3,X0))))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f96,f21])).
% 0.09/0.38 fof(f119,plain,(
% 0.09/0.38 ![X0,X1]: (X0=multiply(X1,divide(X0,X1)))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f96,f105])).
% 0.09/0.38 fof(f121,plain,(
% 0.09/0.38 ![X0,X1,X2]: (divide(multiply(X0,X1),X2)=multiply(divide(X0,X2),X1))),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f131,f14])).
% 0.09/0.38 fof(f123,plain,(
% 0.09/0.38 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f131,f12])).
% 0.09/0.38 fof(f124,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (divide(multiply(X0,multiply(X1,X2)),X3)=multiply(divide(multiply(X0,X1),X3),X2))),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f131,f89])).
% 0.09/0.38 fof(f131,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X2,divide(X1,divide(X2,X0))))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f96,f117])).
% 0.09/0.38 fof(f138,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (multiply(divide(multiply(multiply(X0,divide(X1,multiply(X0,X2))),X3),X1),X2)=X3)),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f121,f37])).
% 0.09/0.38 fof(f157,plain,(
% 0.09/0.38 ![X0,X1]: (multiply(divide(X0,X0),X1)=X1)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f121,f123])).
% 0.09/0.38 fof(f158,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (multiply(divide(X0,X1),multiply(X2,X3))=multiply(divide(multiply(X0,X2),X1),X3))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f121,f124])).
% 0.09/0.38 fof(f159,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (multiply(divide(X0,X1),multiply(X2,X3))=multiply(multiply(divide(X0,X1),X2),X3))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f121,f158])).
% 0.09/0.38 fof(f187,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(multiply(divide(X0,X0),divide(X1,X2)),X2)=X1)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f84,f138])).
% 0.09/0.38 fof(f188,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(divide(X0,X0),multiply(divide(X1,X2),X2))=X1)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f159,f187])).
% 0.09/0.38 fof(f189,plain,(
% 0.09/0.38 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f157,f188])).
% 0.09/0.38 fof(f232,plain,(
% 0.09/0.38 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X0,X1)))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f5,f119])).
% 0.09/0.38 fof(f249,plain,(
% 0.09/0.38 ![X0,X1]: (divide(X0,X0)=divide(X1,X1))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f96,f157])).
% 0.09/0.38 fof(f262,plain,(
% 0.09/0.38 ![X0,X1]: (divide(X0,X1)=multiply(inverse(X1),X0))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f189,f232])).
% 0.09/0.38 fof(f267,plain,(
% 0.09/0.38 ~multiply(inverse(a1),a1)=divide(b1,b1)),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f262,f6])).
% 0.09/0.38 fof(f281,plain,(
% 0.09/0.38 ~divide(a1,a1)=divide(b1,b1)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f262,f267])).
% 0.09/0.38 fof(f282,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f281,f249])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.051146 seconds
% 0.13/0.42 % CPU time: 0.070241 seconds
% 0.13/0.42 % Total memory used: 3.088 MB
% 0.13/0.42 % Net memory used: 2.925 MB
%------------------------------------------------------------------------------