%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN006-6 : 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 : n012.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 0.07s 0.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : HEN006-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 20 20:45:52 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 % Drodi V4.1.1
% 0.07/0.34 % Refutation found
% 0.07/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.34 fof(f1,axiom,(
% 0.07/0.34 (![X,Y]: (( ~ less_equal(X,Y)| divide(X,Y) = zero ) ))),
% 0.07/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.34 fof(f2,axiom,(
% 0.07/0.34 (![X,Y]: (( divide(X,Y) != zero| less_equal(X,Y) ) ))),
% 0.07/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.34 fof(f3,axiom,(
% 0.07/0.34 (![X,Y]: (less_equal(divide(X,Y),X) ))),
% 0.07/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.34 fof(f4,axiom,(
% 0.07/0.34 (![X,Z,Y]: (less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) ))),
% 0.07/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.34 fof(f5,axiom,(
% 0.07/0.34 (![X]: (less_equal(zero,X) ))),
% 0.07/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.34 fof(f6,axiom,(
% 0.07/0.34 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.07/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.34 fof(f10,axiom,(
% 0.07/0.34 (![X]: (divide(X,X) = zero ))),
% 0.07/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.34 fof(f11,hypothesis,(
% 0.07/0.34 less_equal(divide(a,b),d) ),
% 0.07/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.34 fof(f12,negated_conjecture,(
% 0.07/0.34 ~ less_equal(divide(a,d),b) ),
% 0.07/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.34 fof(f13,plain,(
% 0.07/0.34 ![X0,X1]: (~less_equal(X0,X1)|divide(X0,X1)=zero)),
% 0.07/0.34 inference(cnf_transformation,[status(thm)],[f1])).
% 0.07/0.34 fof(f14,plain,(
% 0.07/0.34 ![X0,X1]: (~divide(X0,X1)=zero|less_equal(X0,X1))),
% 0.07/0.34 inference(cnf_transformation,[status(thm)],[f2])).
% 0.07/0.34 fof(f15,plain,(
% 0.07/0.34 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.07/0.34 inference(cnf_transformation,[status(thm)],[f3])).
% 0.07/0.34 fof(f16,plain,(
% 0.07/0.34 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 0.07/0.34 inference(cnf_transformation,[status(thm)],[f4])).
% 0.07/0.34 fof(f17,plain,(
% 0.07/0.34 ![X0]: (less_equal(zero,X0))),
% 0.07/0.34 inference(cnf_transformation,[status(thm)],[f5])).
% 0.07/0.34 fof(f18,plain,(
% 0.07/0.34 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.07/0.34 inference(cnf_transformation,[status(thm)],[f6])).
% 0.07/0.34 fof(f22,plain,(
% 0.07/0.34 ![X0]: (divide(X0,X0)=zero)),
% 0.07/0.34 inference(cnf_transformation,[status(thm)],[f10])).
% 0.07/0.34 fof(f23,plain,(
% 0.07/0.34 less_equal(divide(a,b),d)),
% 0.07/0.34 inference(cnf_transformation,[status(thm)],[f11])).
% 0.07/0.34 fof(f24,plain,(
% 0.07/0.34 ~less_equal(divide(a,d),b)),
% 0.07/0.34 inference(cnf_transformation,[status(thm)],[f12])).
% 0.07/0.34 fof(f25,plain,(
% 0.07/0.34 ![X0,X1]: (~less_equal(X0,divide(X0,X1))|X0=divide(X0,X1))),
% 0.07/0.34 inference(resolution,[status(thm)],[f18,f15])).
% 0.07/0.34 fof(f27,plain,(
% 0.07/0.34 ![X0,X1,X2]: (~less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2)))|divide(divide(X0,X1),X2)=divide(divide(X0,X2),divide(X1,X2)))),
% 0.07/0.34 inference(resolution,[status(thm)],[f16,f18])).
% 0.07/0.34 fof(f28,plain,(
% 0.07/0.34 ![X0]: (zero=divide(zero,X0))),
% 0.07/0.34 inference(resolution,[status(thm)],[f17,f25])).
% 0.07/0.34 fof(f29,plain,(
% 0.07/0.34 ![X0]: (~less_equal(X0,zero)|X0=zero)),
% 0.07/0.34 inference(resolution,[status(thm)],[f17,f18])).
% 0.07/0.34 fof(f30,plain,(
% 0.07/0.34 ![X0,X1]: (~less_equal(divide(divide(X0,zero),X1),divide(divide(X0,X1),zero))|divide(divide(X0,zero),X1)=divide(divide(X0,X1),divide(zero,X1)))),
% 0.07/0.34 inference(paramodulation,[status(thm)],[f28,f27])).
% 0.07/0.34 fof(f38,plain,(
% 0.07/0.34 ![X0,X1]: (~less_equal(divide(divide(X0,zero),X1),divide(divide(X0,X1),zero))|divide(divide(X0,zero),X1)=divide(divide(X0,X1),zero))),
% 0.07/0.34 inference(forward_demodulation,[status(thm)],[f28,f30])).
% 0.07/0.34 fof(f87,plain,(
% 0.07/0.34 ![X0]: (~less_equal(zero,divide(divide(X0,divide(X0,zero)),zero))|divide(divide(X0,zero),divide(X0,zero))=divide(divide(X0,divide(X0,zero)),zero))),
% 0.07/0.34 inference(paramodulation,[status(thm)],[f22,f38])).
% 0.07/0.34 fof(f105,plain,(
% 0.07/0.34 ![X0]: (~less_equal(zero,divide(divide(X0,divide(X0,zero)),zero))|zero=divide(divide(X0,divide(X0,zero)),zero))),
% 0.07/0.34 inference(forward_demodulation,[status(thm)],[f22,f87])).
% 0.07/0.34 fof(f106,plain,(
% 0.07/0.34 ![X0]: (zero=divide(divide(X0,divide(X0,zero)),zero))),
% 0.07/0.34 inference(forward_subsumption_resolution,[status(thm)],[f105,f17])).
% 0.07/0.34 fof(f319,plain,(
% 0.07/0.34 ![X0,X1,X2]: (divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1))=zero)),
% 0.07/0.34 inference(resolution,[status(thm)],[f13,f16])).
% 0.07/0.34 fof(f320,plain,(
% 0.07/0.34 divide(divide(a,b),d)=zero),
% 0.07/0.34 inference(resolution,[status(thm)],[f13,f23])).
% 0.07/0.34 fof(f321,plain,(
% 0.07/0.34 ![X0,X1]: (divide(divide(X0,X1),X0)=zero)),
% 0.07/0.34 inference(resolution,[status(thm)],[f13,f15])).
% 0.07/0.34 fof(f423,plain,(
% 0.07/0.34 ![X0]: (less_equal(divide(X0,divide(X0,zero)),zero))),
% 0.07/0.34 inference(resolution,[status(thm)],[f14,f106])).
% 0.07/0.34 fof(f441,plain,(
% 0.07/0.34 ~less_equal(zero,divide(divide(a,d),divide(b,d)))|divide(divide(a,b),d)=divide(divide(a,d),divide(b,d))),
% 0.07/0.34 inference(paramodulation,[status(thm)],[f320,f27])).
% 0.07/0.34 fof(f459,plain,(
% 0.07/0.34 ~less_equal(zero,divide(divide(a,d),divide(b,d)))|zero=divide(divide(a,d),divide(b,d))),
% 0.07/0.34 inference(forward_demodulation,[status(thm)],[f320,f441])).
% 0.07/0.34 fof(f460,plain,(
% 0.07/0.34 zero=divide(divide(a,d),divide(b,d))),
% 0.07/0.34 inference(forward_subsumption_resolution,[status(thm)],[f459,f17])).
% 0.07/0.34 fof(f485,plain,(
% 0.07/0.34 ![X0]: (divide(X0,divide(X0,zero))=zero)),
% 0.07/0.34 inference(resolution,[status(thm)],[f423,f29])).
% 0.07/0.34 fof(f500,plain,(
% 0.07/0.34 ![X0]: (less_equal(X0,divide(X0,zero)))),
% 0.07/0.34 inference(resolution,[status(thm)],[f485,f14])).
% 0.07/0.34 fof(f571,plain,(
% 0.07/0.34 ![X0]: (X0=divide(X0,zero))),
% 0.07/0.34 inference(resolution,[status(thm)],[f500,f25])).
% 0.07/0.34 fof(f724,plain,(
% 0.07/0.34 ![X0,X1,X2]: (divide(divide(divide(X0,X1),zero),divide(divide(X0,divide(X1,X2)),X1))=zero)),
% 0.07/0.34 inference(paramodulation,[status(thm)],[f321,f319])).
% 0.07/0.34 fof(f771,plain,(
% 0.07/0.34 ![X0,X1,X2]: (divide(divide(X0,X1),divide(divide(X0,divide(X1,X2)),X1))=zero)),
% 0.07/0.34 inference(forward_demodulation,[status(thm)],[f571,f724])).
% 0.07/0.34 fof(f2571,plain,(
% 0.07/0.34 divide(divide(divide(a,d),b),divide(zero,b))=zero),
% 0.07/0.34 inference(paramodulation,[status(thm)],[f460,f771])).
% 0.07/0.34 fof(f2671,plain,(
% 0.07/0.34 divide(divide(divide(a,d),b),zero)=zero),
% 0.07/0.34 inference(forward_demodulation,[status(thm)],[f28,f2571])).
% 0.07/0.34 fof(f2672,plain,(
% 0.07/0.34 divide(divide(a,d),b)=zero),
% 0.07/0.34 inference(forward_demodulation,[status(thm)],[f571,f2671])).
% 0.07/0.34 fof(f2755,plain,(
% 0.07/0.34 less_equal(divide(a,d),b)),
% 0.07/0.34 inference(resolution,[status(thm)],[f2672,f14])).
% 0.07/0.34 fof(f2801,plain,(
% 0.07/0.34 $false),
% 0.07/0.34 inference(forward_subsumption_resolution,[status(thm)],[f2755,f24])).
% 0.07/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.37 % Elapsed time: 0.045930 seconds
% 0.07/0.37 % CPU time: 0.191733 seconds
% 0.07/0.37 % Total memory used: 72.697 MB
% 0.07/0.37 % Net memory used: 71.888 MB
%------------------------------------------------------------------------------