%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN005-4 : 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 : n005.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 0.15s 5.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN005-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n005.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sun Sep 20 20:45:38 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.15/5.42 % Refutation found
% 0.15/5.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.42 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.42 fof(f1,axiom,(
% 0.15/5.42 (![X,Y]: (( ~ less_equal(X,Y)| divide(X,Y) = zero ) ))),
% 0.15/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f2,axiom,(
% 0.15/5.42 (![X,Y]: (( divide(X,Y) != zero| less_equal(X,Y) ) ))),
% 0.15/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f3,axiom,(
% 0.15/5.42 (![X,Y]: (less_equal(divide(X,Y),X) ))),
% 0.15/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f4,axiom,(
% 0.15/5.42 (![X,Z,Y]: (less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) ))),
% 0.15/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f5,axiom,(
% 0.15/5.42 (![X]: (less_equal(zero,X) ))),
% 0.15/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f6,axiom,(
% 0.15/5.42 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.15/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f11,axiom,(
% 0.15/5.42 (![X]: (divide(X,zero) = X ))),
% 0.15/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f12,hypothesis,(
% 0.15/5.42 less_equal(a,b) ),
% 0.15/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f13,hypothesis,(
% 0.15/5.42 less_equal(b,c) ),
% 0.15/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f14,negated_conjecture,(
% 0.15/5.42 ~ less_equal(a,c) ),
% 0.15/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f15,plain,(
% 0.15/5.42 ![X0,X1]: (~less_equal(X0,X1)|divide(X0,X1)=zero)),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/5.42 fof(f16,plain,(
% 0.15/5.42 ![X0,X1]: (~divide(X0,X1)=zero|less_equal(X0,X1))),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.42 fof(f17,plain,(
% 0.15/5.42 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/5.42 fof(f18,plain,(
% 0.15/5.42 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/5.42 fof(f19,plain,(
% 0.15/5.42 ![X0]: (less_equal(zero,X0))),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/5.42 fof(f20,plain,(
% 0.15/5.42 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/5.42 fof(f25,plain,(
% 0.15/5.42 ![X0]: (divide(X0,zero)=X0)),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/5.42 fof(f26,plain,(
% 0.15/5.42 less_equal(a,b)),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.15/5.42 fof(f27,plain,(
% 0.15/5.42 less_equal(b,c)),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/5.42 fof(f28,plain,(
% 0.15/5.42 ~less_equal(a,c)),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/5.42 fof(f29,plain,(
% 0.15/5.42 ![X0,X1]: (~less_equal(X0,divide(X0,X1))|X0=divide(X0,X1))),
% 0.15/5.42 inference(resolution,[status(thm)],[f20,f17])).
% 0.15/5.42 fof(f32,plain,(
% 0.15/5.42 ![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)))),
% 0.15/5.42 inference(resolution,[status(thm)],[f18,f20])).
% 0.15/5.42 fof(f33,plain,(
% 0.15/5.42 ![X0]: (zero=divide(zero,X0))),
% 0.15/5.42 inference(resolution,[status(thm)],[f19,f29])).
% 0.15/5.42 fof(f290,plain,(
% 0.15/5.42 divide(b,c)=zero),
% 0.15/5.42 inference(resolution,[status(thm)],[f15,f27])).
% 0.15/5.42 fof(f291,plain,(
% 0.15/5.42 divide(a,b)=zero),
% 0.15/5.42 inference(resolution,[status(thm)],[f15,f26])).
% 0.15/5.42 fof(f331,plain,(
% 0.15/5.42 ![X0]: (~less_equal(divide(zero,X0),divide(divide(a,X0),divide(b,X0)))|divide(divide(a,b),X0)=divide(divide(a,X0),divide(b,X0)))),
% 0.15/5.42 inference(paramodulation,[status(thm)],[f291,f32])).
% 0.15/5.42 fof(f351,plain,(
% 0.15/5.42 ![X0]: (~less_equal(zero,divide(divide(a,X0),divide(b,X0)))|divide(divide(a,b),X0)=divide(divide(a,X0),divide(b,X0)))),
% 0.15/5.42 inference(forward_demodulation,[status(thm)],[f33,f331])).
% 0.15/5.42 fof(f352,plain,(
% 0.15/5.42 ![X0]: (~less_equal(zero,divide(divide(a,X0),divide(b,X0)))|divide(zero,X0)=divide(divide(a,X0),divide(b,X0)))),
% 0.15/5.42 inference(forward_demodulation,[status(thm)],[f291,f351])).
% 0.15/5.42 fof(f353,plain,(
% 0.15/5.42 ![X0]: (~less_equal(zero,divide(divide(a,X0),divide(b,X0)))|zero=divide(divide(a,X0),divide(b,X0)))),
% 0.15/5.42 inference(forward_demodulation,[status(thm)],[f33,f352])).
% 0.15/5.42 fof(f354,plain,(
% 0.15/5.42 ![X0]: (zero=divide(divide(a,X0),divide(b,X0)))),
% 0.15/5.42 inference(forward_subsumption_resolution,[status(thm)],[f353,f19])).
% 0.15/5.42 fof(f1045,plain,(
% 0.15/5.42 zero=divide(divide(a,c),zero)),
% 0.15/5.43 inference(paramodulation,[status(thm)],[f290,f354])).
% 0.15/5.43 fof(f1077,plain,(
% 0.15/5.43 zero=divide(a,c)),
% 0.15/5.43 inference(forward_demodulation,[status(thm)],[f25,f1045])).
% 0.15/5.43 fof(f1119,plain,(
% 0.15/5.43 less_equal(a,c)),
% 0.15/5.43 inference(resolution,[status(thm)],[f1077,f16])).
% 0.15/5.43 fof(f1141,plain,(
% 0.15/5.43 $false),
% 0.15/5.43 inference(forward_subsumption_resolution,[status(thm)],[f1119,f28])).
% 0.15/5.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.44 % Elapsed time: 0.059767 seconds
% 0.15/5.44 % CPU time: 0.230948 seconds
% 0.15/5.44 % Total memory used: 69.720 MB
% 0.15/5.44 % Net memory used: 69.240 MB
%------------------------------------------------------------------------------