%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN004-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 12:45:26 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN004-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.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 20:48:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f2,axiom,(
% 0.13/0.40 (![X,Y]: (( ~ quotient(X,Y,zero)| less_equal(X,Y) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f3,axiom,(
% 0.13/0.40 (![X,Y,Z]: (( ~ quotient(X,Y,Z)| less_equal(Z,X) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f4,axiom,(
% 0.13/0.40 (![X,Y,V1,Z,V2,V3,V4,V5]: (( ~ quotient(X,Y,V1)| ~ quotient(Y,Z,V2)| ~ quotient(X,Z,V3)| ~ quotient(V3,V2,V4)| ~ quotient(V1,Z,V5)| less_equal(V4,V5) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f5,axiom,(
% 0.13/0.40 (![X]: (less_equal(zero,X) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f6,axiom,(
% 0.13/0.40 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f8,axiom,(
% 0.13/0.40 (![X,Y]: (quotient(X,Y,divide(X,Y)) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f11,axiom,(
% 0.13/0.40 (![X]: (quotient(zero,X,zero) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f12,axiom,(
% 0.13/0.40 (![X]: (quotient(X,X,zero) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f13,negated_conjecture,(
% 0.13/0.40 ~ quotient(x,zero,x) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f15,plain,(
% 0.13/0.40 ![X0,X1]: (~quotient(X0,X1,zero)|less_equal(X0,X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f16,plain,(
% 0.13/0.40 ![X,Z]: ((![Y]: ~quotient(X,Y,Z))|less_equal(Z,X))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f3])).
% 0.13/0.40 fof(f17,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~quotient(X0,X1,X2)|less_equal(X2,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.40 fof(f18,plain,(
% 0.13/0.40 ![V4,V5]: ((![V1,Z]: ((![V2,V3]: ((![X]: ((![Y]: (~quotient(X,Y,V1)|~quotient(Y,Z,V2)))|~quotient(X,Z,V3)))|~quotient(V3,V2,V4)))|~quotient(V1,Z,V5)))|less_equal(V4,V5))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f4])).
% 0.13/0.40 fof(f19,plain,(
% 0.13/0.40 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~quotient(X0,X1,X2)|~quotient(X1,X3,X4)|~quotient(X0,X3,X5)|~quotient(X5,X4,X6)|~quotient(X2,X3,X7)|less_equal(X6,X7))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.40 fof(f20,plain,(
% 0.13/0.40 ![X0]: (less_equal(zero,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f21,plain,(
% 0.13/0.40 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f23,plain,(
% 0.13/0.40 ![X0,X1]: (quotient(X0,X1,divide(X0,X1)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.40 fof(f27,plain,(
% 0.13/0.40 ![X0]: (quotient(zero,X0,zero))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.40 fof(f28,plain,(
% 0.13/0.40 ![X0]: (quotient(X0,X0,zero))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.40 fof(f29,plain,(
% 0.13/0.40 ~quotient(x,zero,x)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.40 fof(f32,plain,(
% 0.13/0.40 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f17,f23])).
% 0.13/0.40 fof(f39,plain,(
% 0.13/0.40 ![X0,X1]: (~less_equal(X0,divide(X0,X1))|X0=divide(X0,X1))),
% 0.13/0.40 inference(resolution,[status(thm)],[f21,f32])).
% 0.13/0.40 fof(f40,plain,(
% 0.13/0.40 ![X0]: (~less_equal(X0,zero)|X0=zero)),
% 0.13/0.40 inference(resolution,[status(thm)],[f21,f20])).
% 0.13/0.40 fof(f47,plain,(
% 0.13/0.40 ![X0,X1,X2,X3,X4,X5,X6]: (X0=zero|~quotient(X1,X2,X3)|~quotient(X2,X4,X5)|~quotient(X1,X4,X6)|~quotient(X6,X5,X0)|~quotient(X3,X4,zero))),
% 0.13/0.40 inference(resolution,[status(thm)],[f40,f19])).
% 0.13/0.40 fof(f141,plain,(
% 0.13/0.40 ![X0,X1,X2,X3,X4,X5]: (X0=zero|~quotient(X1,X2,X3)|~quotient(X2,X3,X4)|~quotient(X1,X3,X5)|~quotient(X5,X4,X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f47,f28])).
% 0.13/0.40 fof(f145,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (X0=zero|~quotient(X1,zero,X2)|~quotient(X1,X2,X3)|~quotient(X3,zero,X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f141,f27])).
% 0.13/0.40 fof(f184,plain,(
% 0.13/0.40 ![X0,X1,X2]: (divide(X0,zero)=zero|~quotient(X1,zero,X2)|~quotient(X1,X2,X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f145,f23])).
% 0.13/0.40 fof(f189,plain,(
% 0.13/0.40 ![X0,X1]: (divide(X0,zero)=zero|~quotient(X1,divide(X1,zero),X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f184,f23])).
% 0.13/0.40 fof(f206,plain,(
% 0.13/0.40 ![X0]: (divide(divide(X0,divide(X0,zero)),zero)=zero)),
% 0.13/0.40 inference(resolution,[status(thm)],[f189,f23])).
% 0.13/0.40 fof(f226,plain,(
% 0.13/0.40 ![X0]: (quotient(divide(X0,divide(X0,zero)),zero,zero))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f206,f23])).
% 0.13/0.40 fof(f235,plain,(
% 0.13/0.40 ![X0]: (less_equal(divide(X0,divide(X0,zero)),zero))),
% 0.13/0.40 inference(resolution,[status(thm)],[f226,f15])).
% 0.13/0.40 fof(f255,plain,(
% 0.13/0.40 ![X0]: (divide(X0,divide(X0,zero))=zero)),
% 0.13/0.40 inference(resolution,[status(thm)],[f235,f40])).
% 0.13/0.40 fof(f284,plain,(
% 0.13/0.40 ![X0]: (quotient(X0,divide(X0,zero),zero))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f255,f23])).
% 0.13/0.40 fof(f290,plain,(
% 0.13/0.40 ![X0]: (less_equal(X0,divide(X0,zero)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f284,f15])).
% 0.13/0.40 fof(f305,plain,(
% 0.13/0.40 ![X0]: (X0=divide(X0,zero))),
% 0.13/0.40 inference(resolution,[status(thm)],[f290,f39])).
% 0.13/0.40 fof(f333,plain,(
% 0.13/0.40 ![X0]: (quotient(X0,zero,X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f305,f23])).
% 0.13/0.40 fof(f336,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(backward_subsumption_resolution,[status(thm)],[f29,f333])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.054047 seconds
% 0.13/0.43 % CPU time: 0.208466 seconds
% 0.13/0.43 % Total memory used: 45.850 MB
% 0.13/0.43 % Net memory used: 45.190 MB
%------------------------------------------------------------------------------