%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN004-4 : 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 : n006.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 12:45:26 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN004-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.33 % Computer : n006.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sun Sep 20 20:45:27 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.37 fof(f2,axiom,(
% 0.10/0.37 (![X,Y]: (( divide(X,Y) != zero| less_equal(X,Y) ) ))),
% 0.10/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f3,axiom,(
% 0.10/0.37 (![X,Y]: (less_equal(divide(X,Y),X) ))),
% 0.10/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f4,axiom,(
% 0.10/0.37 (![X,Z,Y]: (less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) ))),
% 0.10/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f5,axiom,(
% 0.10/0.37 (![X]: (less_equal(zero,X) ))),
% 0.10/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f6,axiom,(
% 0.10/0.37 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.10/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f9,axiom,(
% 0.10/0.37 (![X]: (divide(zero,X) = zero ))),
% 0.10/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f10,axiom,(
% 0.10/0.37 (![X]: (divide(X,X) = zero ))),
% 0.10/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f11,negated_conjecture,(
% 0.10/0.37 divide(a,zero) != a ),
% 0.10/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f13,plain,(
% 0.10/0.37 ![X0,X1]: (~divide(X0,X1)=zero|less_equal(X0,X1))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.37 fof(f14,plain,(
% 0.10/0.37 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.37 fof(f15,plain,(
% 0.10/0.37 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.37 fof(f16,plain,(
% 0.10/0.37 ![X0]: (less_equal(zero,X0))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.37 fof(f17,plain,(
% 0.10/0.37 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.37 fof(f20,plain,(
% 0.10/0.37 ![X0]: (divide(zero,X0)=zero)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.37 fof(f21,plain,(
% 0.10/0.37 ![X0]: (divide(X0,X0)=zero)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.37 fof(f22,plain,(
% 0.10/0.37 ~divide(a,zero)=a),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.37 fof(f55,plain,(
% 0.10/0.37 ![X0,X1]: (~less_equal(X0,divide(X0,X1))|X0=divide(X0,X1))),
% 0.10/0.37 inference(resolution,[status(thm)],[f17,f14])).
% 0.10/0.37 fof(f56,plain,(
% 0.10/0.37 ![X0]: (~less_equal(X0,zero)|X0=zero)),
% 0.10/0.37 inference(resolution,[status(thm)],[f17,f16])).
% 0.10/0.37 fof(f81,plain,(
% 0.10/0.37 ![X0,X1]: (less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f20,f15])).
% 0.10/0.37 fof(f196,plain,(
% 0.10/0.37 ![X0]: (less_equal(divide(divide(X0,divide(X0,zero)),zero),zero))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f21,f81])).
% 0.10/0.37 fof(f276,plain,(
% 0.10/0.37 ![X0]: (divide(divide(X0,divide(X0,zero)),zero)=zero)),
% 0.10/0.37 inference(resolution,[status(thm)],[f196,f56])).
% 0.10/0.37 fof(f291,plain,(
% 0.10/0.37 ![X0]: (less_equal(divide(X0,divide(X0,zero)),zero))),
% 0.10/0.37 inference(resolution,[status(thm)],[f276,f13])).
% 0.10/0.37 fof(f331,plain,(
% 0.10/0.37 ![X0]: (divide(X0,divide(X0,zero))=zero)),
% 0.10/0.37 inference(resolution,[status(thm)],[f291,f56])).
% 0.10/0.37 fof(f346,plain,(
% 0.10/0.37 ![X0]: (less_equal(X0,divide(X0,zero)))),
% 0.10/0.37 inference(resolution,[status(thm)],[f331,f13])).
% 0.10/0.37 fof(f383,plain,(
% 0.10/0.37 ![X0]: (X0=divide(X0,zero))),
% 0.10/0.37 inference(resolution,[status(thm)],[f346,f55])).
% 0.10/0.37 fof(f392,plain,(
% 0.10/0.37 ~a=a),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f383,f22])).
% 0.10/0.37 fof(f419,plain,(
% 0.10/0.37 $false),
% 0.10/0.37 inference(trivial_equality_resolution,[status(thm)],[f392])).
% 0.10/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.40 % Elapsed time: 0.049664 seconds
% 0.10/0.40 % CPU time: 0.180394 seconds
% 0.10/0.40 % Total memory used: 68.585 MB
% 0.10/0.40 % Net memory used: 68.040 MB
%------------------------------------------------------------------------------