%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN006-4 : 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 : n017.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 12:45:27 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN006-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.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 20:41:11 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.44 fof(f1,axiom,(
% 0.13/0.44 (![X,Y]: (( ~ less_equal(X,Y)| divide(X,Y) = zero ) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f2,axiom,(
% 0.13/0.44 (![X,Y]: (( divide(X,Y) != zero| less_equal(X,Y) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f3,axiom,(
% 0.13/0.44 (![X,Y]: (less_equal(divide(X,Y),X) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f4,axiom,(
% 0.13/0.44 (![X,Z,Y]: (less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f5,axiom,(
% 0.13/0.44 (![X]: (less_equal(zero,X) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f6,axiom,(
% 0.13/0.44 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f9,axiom,(
% 0.13/0.44 (![X]: (divide(zero,X) = zero ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f10,axiom,(
% 0.13/0.44 (![X]: (divide(X,X) = zero ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f13,hypothesis,(
% 0.13/0.44 less_equal(divide(a,b),d) ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f14,negated_conjecture,(
% 0.13/0.44 ~ less_equal(divide(a,d),b) ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f15,plain,(
% 0.13/0.44 ![X0,X1]: (~less_equal(X0,X1)|divide(X0,X1)=zero)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.44 fof(f16,plain,(
% 0.13/0.44 ![X0,X1]: (~divide(X0,X1)=zero|less_equal(X0,X1))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.44 fof(f17,plain,(
% 0.13/0.44 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.44 fof(f18,plain,(
% 0.13/0.44 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.44 fof(f19,plain,(
% 0.13/0.44 ![X0]: (less_equal(zero,X0))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.44 fof(f20,plain,(
% 0.13/0.44 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.44 fof(f23,plain,(
% 0.13/0.44 ![X0]: (divide(zero,X0)=zero)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.44 fof(f24,plain,(
% 0.13/0.44 ![X0]: (divide(X0,X0)=zero)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.44 fof(f28,plain,(
% 0.13/0.44 less_equal(divide(a,b),d)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.44 fof(f29,plain,(
% 0.13/0.44 ~less_equal(divide(a,d),b)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.44 fof(f35,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2)))|divide(divide(X0,X2),divide(X1,X2))=divide(divide(X0,X1),X2))),
% 0.13/0.44 inference(resolution,[status(thm)],[f20,f18])).
% 0.13/0.44 fof(f36,plain,(
% 0.13/0.44 ![X0,X1]: (~less_equal(X0,divide(X0,X1))|divide(X0,X1)=X0)),
% 0.13/0.44 inference(resolution,[status(thm)],[f20,f17])).
% 0.13/0.44 fof(f87,plain,(
% 0.13/0.44 ![X0]: (~less_equal(X0,zero)|zero=X0)),
% 0.13/0.44 inference(resolution,[status(thm)],[f19,f20])).
% 0.13/0.44 fof(f94,plain,(
% 0.13/0.44 ![X0,X1]: (less_equal(divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))),zero))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f24,f18])).
% 0.13/0.44 fof(f188,plain,(
% 0.13/0.44 divide(divide(a,b),d)=zero),
% 0.13/0.44 inference(resolution,[status(thm)],[f15,f28])).
% 0.13/0.44 fof(f193,plain,(
% 0.13/0.44 ![X0,X1]: (divide(divide(X0,X1),X0)=zero)),
% 0.13/0.44 inference(resolution,[status(thm)],[f15,f17])).
% 0.13/0.44 fof(f311,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~less_equal(divide(divide(X0,divide(X1,X2)),X1),divide(divide(X0,X1),zero))|divide(divide(X0,X1),divide(divide(X1,X2),X1))=divide(divide(X0,divide(X1,X2)),X1))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f193,f35])).
% 0.13/0.44 fof(f313,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~less_equal(divide(zero,X0),divide(divide(divide(X1,X2),X0),divide(X1,X0)))|divide(divide(divide(X1,X2),X0),divide(X1,X0))=divide(divide(divide(X1,X2),X1),X0))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f193,f35])).
% 0.13/0.44 fof(f345,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~less_equal(divide(divide(X0,divide(X1,X2)),X1),divide(divide(X0,X1),zero))|divide(divide(X0,X1),zero)=divide(divide(X0,divide(X1,X2)),X1))),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f193,f311])).
% 0.13/0.44 fof(f349,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))|divide(divide(divide(X0,X1),X2),divide(X0,X2))=divide(divide(divide(X0,X1),X0),X2))),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f23,f313])).
% 0.13/0.44 fof(f350,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))|divide(divide(divide(X0,X1),X2),divide(X0,X2))=divide(zero,X2))),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f193,f349])).
% 0.13/0.44 fof(f351,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))|divide(divide(divide(X0,X1),X2),divide(X0,X2))=zero)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f23,f350])).
% 0.13/0.44 fof(f352,plain,(
% 0.13/0.44 ![X0,X1,X2]: (divide(divide(divide(X0,X1),X2),divide(X0,X2))=zero)),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f351,f19])).
% 0.13/0.44 fof(f364,plain,(
% 0.13/0.44 ~less_equal(zero,divide(divide(a,d),divide(b,d)))|divide(divide(a,d),divide(b,d))=divide(divide(a,b),d)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f188,f35])).
% 0.13/0.44 fof(f378,definition,(
% 0.13/0.44 sQ14_spl <=> (less_equal(zero,divide(divide(a,d),divide(b,d))))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f380,plain,(
% 0.13/0.44 ~less_equal(zero,divide(divide(a,d),divide(b,d)))|sQ14_spl),
% 0.13/0.44 inference(component_clause,[status(thm)],[f378])).
% 0.13/0.44 fof(f381,definition,(
% 0.13/0.44 sQ15_spl <=> (divide(divide(a,d),divide(b,d))=divide(divide(a,b),d))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f382,plain,(
% 0.13/0.44 divide(divide(a,d),divide(b,d))=divide(divide(a,b),d)|~sQ15_spl),
% 0.13/0.44 inference(component_clause,[status(thm)],[f381])).
% 0.13/0.44 fof(f384,plain,(
% 0.13/0.44 ~sQ14_spl|sQ15_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f364,f378,f381])).
% 0.13/0.44 fof(f407,plain,(
% 0.13/0.44 $false|sQ14_spl),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f380,f19])).
% 0.13/0.44 fof(f408,plain,(
% 0.13/0.44 sQ14_spl),
% 0.13/0.44 inference(contradiction_clause,[status(thm)],[f407])).
% 0.13/0.44 fof(f409,plain,(
% 0.13/0.44 divide(divide(a,d),divide(b,d))=zero|~sQ15_spl),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f188,f382])).
% 0.13/0.44 fof(f688,plain,(
% 0.13/0.44 ![X0]: (less_equal(divide(divide(X0,divide(X0,zero)),zero),zero))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f23,f94])).
% 0.13/0.44 fof(f1261,plain,(
% 0.13/0.44 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),X2),divide(X0,X2)))),
% 0.13/0.44 inference(resolution,[status(thm)],[f352,f16])).
% 0.13/0.44 fof(f2597,plain,(
% 0.13/0.44 ![X0]: (zero=divide(divide(X0,divide(X0,zero)),zero))),
% 0.13/0.44 inference(resolution,[status(thm)],[f688,f87])).
% 0.13/0.44 fof(f2625,plain,(
% 0.13/0.44 ![X0]: (less_equal(divide(X0,divide(X0,zero)),zero))),
% 0.13/0.44 inference(resolution,[status(thm)],[f2597,f16])).
% 0.13/0.44 fof(f2779,plain,(
% 0.13/0.44 ![X0]: (zero=divide(X0,divide(X0,zero)))),
% 0.13/0.44 inference(resolution,[status(thm)],[f2625,f87])).
% 0.13/0.44 fof(f2804,plain,(
% 0.13/0.44 ![X0]: (less_equal(X0,divide(X0,zero)))),
% 0.13/0.44 inference(resolution,[status(thm)],[f2779,f16])).
% 0.13/0.44 fof(f2971,plain,(
% 0.13/0.44 ![X0]: (divide(X0,zero)=X0)),
% 0.13/0.44 inference(resolution,[status(thm)],[f2804,f36])).
% 0.13/0.44 fof(f5025,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~less_equal(divide(divide(X0,divide(X1,X2)),X1),divide(X0,X1))|divide(divide(X0,X1),zero)=divide(divide(X0,divide(X1,X2)),X1))),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f2971,f345])).
% 0.13/0.44 fof(f5026,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~less_equal(divide(divide(X0,divide(X1,X2)),X1),divide(X0,X1))|divide(X0,X1)=divide(divide(X0,divide(X1,X2)),X1))),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f2971,f5025])).
% 0.13/0.44 fof(f5027,plain,(
% 0.13/0.44 ![X0,X1,X2]: (divide(X0,X1)=divide(divide(X0,divide(X1,X2)),X1))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f5026,f1261])).
% 0.13/0.44 fof(f5035,plain,(
% 0.13/0.44 divide(divide(a,d),b)=divide(zero,b)|~sQ15_spl),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f409,f5027])).
% 0.13/0.44 fof(f5146,plain,(
% 0.13/0.44 divide(divide(a,d),b)=zero|~sQ15_spl),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f23,f5035])).
% 0.13/0.44 fof(f5184,plain,(
% 0.13/0.44 less_equal(divide(a,d),b)|~sQ15_spl),
% 0.13/0.44 inference(resolution,[status(thm)],[f5146,f16])).
% 0.13/0.44 fof(f5250,plain,(
% 0.13/0.44 $false|~sQ15_spl),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f5184,f29])).
% 0.13/0.44 fof(f5251,plain,(
% 0.13/0.44 ~sQ15_spl),
% 0.13/0.44 inference(contradiction_clause,[status(thm)],[f5250])).
% 0.13/0.44 fof(f5252,plain,(
% 0.13/0.44 $false),
% 0.13/0.44 inference(sat_refutation,[status(thm)],[f384,f408,f5251])).
% 0.13/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.46 % Elapsed time: 0.091551 seconds
% 0.13/0.46 % CPU time: 0.521683 seconds
% 0.13/0.46 % Total memory used: 74.420 MB
% 0.13/0.46 % Net memory used: 73.300 MB
%------------------------------------------------------------------------------