%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN003-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 12:45:25 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN003-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.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 20:47:00 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,axiom,(
% 0.14/0.38 (![X,Y]: (( ~ less_equal(X,Y)| quotient(X,Y,zero) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,axiom,(
% 0.14/0.38 (![X,Y]: (( ~ quotient(X,Y,zero)| less_equal(X,Y) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,axiom,(
% 0.14/0.38 (![X,Y,Z]: (( ~ quotient(X,Y,Z)| less_equal(Z,X) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f4,axiom,(
% 0.14/0.38 (![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) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f5,axiom,(
% 0.14/0.38 (![X]: (less_equal(zero,X) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f6,axiom,(
% 0.14/0.38 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f8,axiom,(
% 0.14/0.38 (![X,Y]: (quotient(X,Y,divide(X,Y)) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f11,axiom,(
% 0.14/0.38 (![X]: (quotient(zero,X,zero) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f12,negated_conjecture,(
% 0.14/0.38 ~ quotient(x,x,zero) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f13,plain,(
% 0.14/0.38 ![X0,X1]: (~less_equal(X0,X1)|quotient(X0,X1,zero))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.38 fof(f14,plain,(
% 0.14/0.38 ![X0,X1]: (~quotient(X0,X1,zero)|less_equal(X0,X1))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.38 fof(f15,plain,(
% 0.14/0.38 ![X,Z]: ((![Y]: ~quotient(X,Y,Z))|less_equal(Z,X))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f3])).
% 0.14/0.38 fof(f16,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~quotient(X0,X1,X2)|less_equal(X2,X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.38 fof(f17,plain,(
% 0.14/0.38 ![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))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f4])).
% 0.14/0.38 fof(f18,plain,(
% 0.14/0.38 ![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))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.38 fof(f19,plain,(
% 0.14/0.38 ![X0]: (less_equal(zero,X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.38 fof(f20,plain,(
% 0.14/0.38 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.38 fof(f22,plain,(
% 0.14/0.38 ![X0,X1]: (quotient(X0,X1,divide(X0,X1)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.38 fof(f26,plain,(
% 0.14/0.38 ![X0]: (quotient(zero,X0,zero))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.38 fof(f27,plain,(
% 0.14/0.38 ~quotient(x,x,zero)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.38 fof(f50,plain,(
% 0.14/0.38 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f16,f22])).
% 0.14/0.38 fof(f51,plain,(
% 0.14/0.38 ![X0,X1]: (quotient(divide(X0,X1),X0,zero))),
% 0.14/0.38 inference(resolution,[status(thm)],[f50,f13])).
% 0.14/0.38 fof(f78,plain,(
% 0.14/0.38 ![X0,X1,X2,X3,X4,X5]: (~quotient(X0,zero,X1)|~quotient(X0,X2,X3)|~quotient(X3,zero,X4)|~quotient(X1,X2,X5)|less_equal(X4,X5))),
% 0.14/0.38 inference(resolution,[status(thm)],[f18,f26])).
% 0.14/0.38 fof(f106,plain,(
% 0.14/0.38 ![X0]: (~less_equal(X0,zero)|X0=zero)),
% 0.14/0.38 inference(resolution,[status(thm)],[f20,f19])).
% 0.14/0.38 fof(f219,plain,(
% 0.14/0.38 ![X0,X1,X2,X3,X4]: (~quotient(X0,zero,X1)|~quotient(X0,X2,X3)|~quotient(X1,X2,X4)|less_equal(divide(X3,zero),X4))),
% 0.14/0.38 inference(resolution,[status(thm)],[f78,f22])).
% 0.14/0.38 fof(f223,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~quotient(X0,X1,X2)|~quotient(divide(X0,zero),X1,X3)|less_equal(divide(X2,zero),X3))),
% 0.14/0.38 inference(resolution,[status(thm)],[f219,f22])).
% 0.14/0.38 fof(f256,plain,(
% 0.14/0.38 ![X0,X1]: (~quotient(X0,X0,X1)|less_equal(divide(X1,zero),zero))),
% 0.14/0.38 inference(resolution,[status(thm)],[f223,f51])).
% 0.14/0.38 fof(f265,plain,(
% 0.14/0.38 ![X0]: (less_equal(divide(divide(X0,X0),zero),zero))),
% 0.14/0.38 inference(resolution,[status(thm)],[f256,f22])).
% 0.14/0.38 fof(f269,plain,(
% 0.14/0.38 ![X0]: (divide(divide(X0,X0),zero)=zero)),
% 0.14/0.38 inference(resolution,[status(thm)],[f265,f106])).
% 0.14/0.38 fof(f310,plain,(
% 0.14/0.38 ![X0]: (quotient(divide(X0,X0),zero,zero))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f269,f22])).
% 0.14/0.38 fof(f346,plain,(
% 0.14/0.38 ![X0]: (less_equal(divide(X0,X0),zero))),
% 0.14/0.38 inference(resolution,[status(thm)],[f310,f14])).
% 0.14/0.38 fof(f369,plain,(
% 0.14/0.38 ![X0]: (divide(X0,X0)=zero)),
% 0.14/0.38 inference(resolution,[status(thm)],[f346,f106])).
% 0.14/0.38 fof(f398,plain,(
% 0.14/0.38 ![X0]: (quotient(X0,X0,zero))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f369,f22])).
% 0.14/0.38 fof(f413,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(backward_subsumption_resolution,[status(thm)],[f27,f398])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.038949 seconds
% 0.14/0.41 % CPU time: 0.094150 seconds
% 0.14/0.41 % Total memory used: 13.166 MB
% 0.14/0.41 % Net memory used: 13.029 MB
%------------------------------------------------------------------------------