%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN007-3 : 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 : n018.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 12:45:28 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN007-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n018.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:47:57 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f1,axiom,(
% 0.14/0.41 (![X,Y]: (( ~ less_equal(X,Y)| divide(X,Y) = zero ) ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f2,axiom,(
% 0.14/0.41 (![X,Y]: (( divide(X,Y) != zero| less_equal(X,Y) ) ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f3,axiom,(
% 0.14/0.41 (![X,Y]: (less_equal(divide(X,Y),X) ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f4,axiom,(
% 0.14/0.41 (![X,Z,Y]: (less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f5,axiom,(
% 0.14/0.41 (![X]: (less_equal(zero,X) ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f6,axiom,(
% 0.14/0.41 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f8,hypothesis,(
% 0.14/0.41 less_equal(a,b) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f9,negated_conjecture,(
% 0.14/0.41 ~ less_equal(divide(c,b),divide(c,a)) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f10,plain,(
% 0.14/0.41 ![X0,X1]: (~less_equal(X0,X1)|divide(X0,X1)=zero)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.41 fof(f11,plain,(
% 0.14/0.41 ![X0,X1]: (~divide(X0,X1)=zero|less_equal(X0,X1))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.41 fof(f12,plain,(
% 0.14/0.41 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.41 fof(f13,plain,(
% 0.14/0.41 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.41 fof(f14,plain,(
% 0.14/0.41 ![X0]: (less_equal(zero,X0))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.41 fof(f15,plain,(
% 0.14/0.41 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.41 fof(f17,plain,(
% 0.14/0.41 less_equal(a,b)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.41 fof(f18,plain,(
% 0.14/0.41 ~less_equal(divide(c,b),divide(c,a))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.41 fof(f19,plain,(
% 0.14/0.41 ![X0,X1]: (divide(divide(X0,X1),X0)=zero)),
% 0.14/0.41 inference(resolution,[status(thm)],[f10,f12])).
% 0.14/0.41 fof(f20,plain,(
% 0.14/0.41 divide(a,b)=zero),
% 0.14/0.41 inference(resolution,[status(thm)],[f10,f17])).
% 0.14/0.41 fof(f21,plain,(
% 0.14/0.41 ![X0]: (divide(zero,X0)=zero)),
% 0.14/0.41 inference(resolution,[status(thm)],[f10,f14])).
% 0.14/0.41 fof(f36,plain,(
% 0.14/0.41 ![X0,X1]: (~less_equal(X0,divide(X0,X1))|X0=divide(X0,X1))),
% 0.14/0.41 inference(resolution,[status(thm)],[f15,f12])).
% 0.14/0.41 fof(f38,plain,(
% 0.14/0.41 ![X0]: (~less_equal(X0,zero)|X0=zero)),
% 0.14/0.41 inference(resolution,[status(thm)],[f15,f14])).
% 0.14/0.41 fof(f41,plain,(
% 0.14/0.41 ![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)))),
% 0.14/0.41 inference(resolution,[status(thm)],[f13,f15])).
% 0.14/0.41 fof(f50,plain,(
% 0.14/0.41 ![X0,X1]: (less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f21,f13])).
% 0.14/0.41 fof(f52,plain,(
% 0.14/0.41 ![X0,X1]: (less_equal(divide(divide(X0,X0),divide(X1,X0)),zero))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f19,f13])).
% 0.14/0.41 fof(f80,plain,(
% 0.14/0.41 ![X0]: (X0=zero|~divide(X0,zero)=zero)),
% 0.14/0.41 inference(resolution,[status(thm)],[f38,f11])).
% 0.14/0.41 fof(f92,plain,(
% 0.14/0.41 ![X0,X1]: (X0=divide(X0,X1)|~divide(X0,divide(X0,X1))=zero)),
% 0.14/0.41 inference(resolution,[status(thm)],[f36,f11])).
% 0.14/0.41 fof(f106,plain,(
% 0.14/0.41 ![X0,X1]: (divide(divide(X0,X0),divide(X1,X0))=zero)),
% 0.14/0.41 inference(resolution,[status(thm)],[f52,f38])).
% 0.14/0.41 fof(f126,plain,(
% 0.14/0.41 ![X0,X1,X2]: (~less_equal(divide(zero,X0),divide(divide(divide(X1,X2),X0),divide(X1,X0)))|divide(divide(divide(X1,X2),X1),X0)=divide(divide(divide(X1,X2),X0),divide(X1,X0)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f19,f41])).
% 0.14/0.41 fof(f136,plain,(
% 0.14/0.41 ![X0]: (~less_equal(divide(divide(X0,a),b),divide(divide(X0,b),zero))|divide(divide(X0,a),b)=divide(divide(X0,b),divide(a,b)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f20,f41])).
% 0.14/0.41 fof(f145,plain,(
% 0.14/0.41 ![X0,X1,X2]: (~less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))|divide(divide(divide(X0,X1),X0),X2)=divide(divide(divide(X0,X1),X2),divide(X0,X2)))),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f21,f126])).
% 0.14/0.42 fof(f146,plain,(
% 0.14/0.42 ![X0,X1,X2]: (~less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))|divide(zero,X2)=divide(divide(divide(X0,X1),X2),divide(X0,X2)))),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f19,f145])).
% 0.14/0.42 fof(f147,plain,(
% 0.14/0.42 ![X0,X1,X2]: (~less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))|zero=divide(divide(divide(X0,X1),X2),divide(X0,X2)))),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f21,f146])).
% 0.14/0.42 fof(f148,plain,(
% 0.14/0.42 ![X0,X1,X2]: (zero=divide(divide(divide(X0,X1),X2),divide(X0,X2)))),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f147,f14])).
% 0.14/0.42 fof(f184,plain,(
% 0.14/0.42 ![X0]: (~less_equal(divide(divide(X0,a),b),divide(divide(X0,b),zero))|divide(divide(X0,a),b)=divide(divide(X0,b),zero))),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f20,f136])).
% 0.14/0.42 fof(f196,plain,(
% 0.14/0.42 ![X0]: (divide(divide(X0,X0),zero)=zero)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f19,f106])).
% 0.14/0.42 fof(f230,plain,(
% 0.14/0.42 ![X0]: (divide(X0,X0)=zero)),
% 0.14/0.42 inference(resolution,[status(thm)],[f196,f80])).
% 0.14/0.42 fof(f856,plain,(
% 0.14/0.42 ![X0]: (less_equal(divide(divide(X0,divide(X0,zero)),zero),zero))),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f230,f50])).
% 0.14/0.42 fof(f1294,plain,(
% 0.14/0.42 ![X0]: (divide(divide(X0,divide(X0,zero)),zero)=zero)),
% 0.14/0.42 inference(resolution,[status(thm)],[f856,f38])).
% 0.14/0.42 fof(f1315,plain,(
% 0.14/0.42 ![X0]: (divide(X0,divide(X0,zero))=zero)),
% 0.14/0.42 inference(resolution,[status(thm)],[f1294,f80])).
% 0.14/0.42 fof(f1419,plain,(
% 0.14/0.42 ![X0]: (X0=divide(X0,zero))),
% 0.14/0.42 inference(resolution,[status(thm)],[f1315,f92])).
% 0.14/0.42 fof(f1745,plain,(
% 0.14/0.42 ![X0]: (~less_equal(divide(divide(X0,a),b),divide(X0,b))|divide(divide(X0,a),b)=divide(divide(X0,b),zero))),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1419,f184])).
% 0.14/0.42 fof(f1746,plain,(
% 0.14/0.42 ![X0]: (~less_equal(divide(divide(X0,a),b),divide(X0,b))|divide(divide(X0,a),b)=divide(X0,b))),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1419,f1745])).
% 0.14/0.42 fof(f1747,plain,(
% 0.14/0.42 ![X0]: (divide(divide(X0,a),b)=divide(X0,b)|~divide(divide(divide(X0,a),b),divide(X0,b))=zero)),
% 0.14/0.42 inference(resolution,[status(thm)],[f1746,f11])).
% 0.14/0.42 fof(f1761,plain,(
% 0.14/0.42 ![X0]: (divide(divide(X0,a),b)=divide(X0,b)|~zero=zero)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f148,f1747])).
% 0.14/0.42 fof(f1762,plain,(
% 0.14/0.42 ![X0]: (divide(divide(X0,a),b)=divide(X0,b))),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f1761])).
% 0.14/0.42 fof(f2698,plain,(
% 0.14/0.42 ![X0]: (less_equal(divide(X0,b),divide(X0,a)))),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f1762,f12])).
% 0.14/0.42 fof(f2729,plain,(
% 0.14/0.42 $false),
% 0.14/0.42 inference(backward_subsumption_resolution,[status(thm)],[f18,f2698])).
% 0.14/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.072957 seconds
% 0.14/0.43 % CPU time: 0.357078 seconds
% 0.14/0.43 % Total memory used: 51.178 MB
% 0.14/0.43 % Net memory used: 50.627 MB
%------------------------------------------------------------------------------