%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN010-6 : 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 : 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 12:45:30 PM UTC 2026
% Result : Unsatisfiable 0.04s 10.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : HEN010-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/10.32 % Computer : n012.cluster.edu
% 0.04/10.32 % Model : x86_64 x86_64
% 0.04/10.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.32 % Memory : 8046.5625MB
% 0.04/10.32 % OS : Linux 6.8.0-71-generic
% 0.04/10.32 % CPULimit : 300
% 0.04/10.32 % WCLimit : 300
% 0.04/10.32 % DateTime : Sun Sep 20 20:46:33 UTC 2026
% 0.04/10.32 % CPUTime :
% 0.04/10.33 % Drodi V4.1.1
% 0.04/10.35 % Refutation found
% 0.04/10.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/10.35 % SZS output start CNFRefutation for theBenchmark
% 0.04/10.35 fof(f2,axiom,(
% 0.04/10.35 (![X,Y]: (( divide(X,Y) != zero| less_equal(X,Y) ) ))),
% 0.04/10.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/10.35 fof(f3,axiom,(
% 0.04/10.35 (![X,Y]: (less_equal(divide(X,Y),X) ))),
% 0.04/10.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/10.35 fof(f4,axiom,(
% 0.04/10.35 (![X,Z,Y]: (less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) ))),
% 0.04/10.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/10.35 fof(f5,axiom,(
% 0.04/10.35 (![X]: (less_equal(zero,X) ))),
% 0.04/10.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/10.35 fof(f6,axiom,(
% 0.04/10.35 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.04/10.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/10.35 fof(f10,axiom,(
% 0.04/10.35 (![X]: (divide(X,X) = zero ))),
% 0.04/10.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/10.35 fof(f12,axiom,(
% 0.04/10.35 (![X,Y,Z]: (( ~ less_equal(divide(X,Y),Z)| less_equal(divide(X,Z),Y) ) ))),
% 0.04/10.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/10.35 fof(f13,axiom,(
% 0.04/10.35 (![X,Y,Z]: (( ~ less_equal(X,Y)| less_equal(divide(Z,Y),divide(Z,X)) ) ))),
% 0.04/10.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/10.35 fof(f15,axiom,(
% 0.04/10.35 (![X]: (divide(identity,divide(identity,divide(identity,X))) = divide(identity,X) ))),
% 0.04/10.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/10.35 fof(f16,negated_conjecture,(
% 0.04/10.35 divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))) ),
% 0.04/10.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.04/10.35 fof(f18,plain,(
% 0.04/10.35 ![X0,X1]: (~divide(X0,X1)=zero|less_equal(X0,X1))),
% 0.04/10.35 inference(cnf_transformation,[status(thm)],[f2])).
% 0.04/10.35 fof(f19,plain,(
% 0.04/10.35 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.04/10.35 inference(cnf_transformation,[status(thm)],[f3])).
% 0.04/10.35 fof(f20,plain,(
% 0.04/10.35 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 0.04/10.35 inference(cnf_transformation,[status(thm)],[f4])).
% 0.04/10.35 fof(f21,plain,(
% 0.04/10.35 ![X0]: (less_equal(zero,X0))),
% 0.04/10.35 inference(cnf_transformation,[status(thm)],[f5])).
% 0.04/10.35 fof(f22,plain,(
% 0.04/10.35 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.04/10.35 inference(cnf_transformation,[status(thm)],[f6])).
% 0.04/10.35 fof(f26,plain,(
% 0.04/10.35 ![X0]: (divide(X0,X0)=zero)),
% 0.04/10.35 inference(cnf_transformation,[status(thm)],[f10])).
% 0.04/10.35 fof(f28,plain,(
% 0.04/10.35 ![X0,X1,X2]: (~less_equal(divide(X0,X1),X2)|less_equal(divide(X0,X2),X1))),
% 0.04/10.35 inference(cnf_transformation,[status(thm)],[f12])).
% 0.04/10.35 fof(f29,plain,(
% 0.04/10.35 ![X,Y]: (~less_equal(X,Y)|(![Z]: less_equal(divide(Z,Y),divide(Z,X))))),
% 0.04/10.35 inference(miniscoping,[status(thm)],[f13])).
% 0.04/10.35 fof(f30,plain,(
% 0.04/10.35 ![X0,X1,X2]: (~less_equal(X0,X1)|less_equal(divide(X2,X1),divide(X2,X0)))),
% 0.04/10.35 inference(cnf_transformation,[status(thm)],[f29])).
% 0.04/10.35 fof(f33,plain,(
% 0.04/10.35 ![X0]: (divide(identity,divide(identity,divide(identity,X0)))=divide(identity,X0))),
% 0.04/10.35 inference(cnf_transformation,[status(thm)],[f15])).
% 0.04/10.35 fof(f34,plain,(
% 0.04/10.35 ~divide(identity,a)=divide(divide(identity,a),divide(identity,divide(identity,a)))),
% 0.04/10.35 inference(cnf_transformation,[status(thm)],[f16])).
% 0.04/10.35 fof(f37,plain,(
% 0.04/10.35 ![X0]: (less_equal(X0,X0))),
% 0.04/10.35 inference(resolution,[status(thm)],[f26,f18])).
% 0.04/10.35 fof(f54,plain,(
% 0.04/10.35 ![X0,X1]: (less_equal(divide(divide(X0,X1),zero),divide(divide(X0,X1),X1)))),
% 0.04/10.35 inference(paramodulation,[status(thm)],[f26,f20])).
% 0.04/10.35 fof(f87,plain,(
% 0.04/10.35 ![X0]: (~less_equal(X0,zero)|zero=X0)),
% 0.04/10.35 inference(resolution,[status(thm)],[f22,f21])).
% 0.04/10.35 fof(f133,plain,(
% 0.04/10.35 ![X0,X1]: (less_equal(divide(X0,divide(X0,X1)),X1))),
% 0.04/10.35 inference(resolution,[status(thm)],[f28,f37])).
% 0.04/10.35 fof(f146,plain,(
% 0.04/10.35 ![X0,X1]: (less_equal(divide(X0,X1),divide(X0,zero)))),
% 0.04/10.35 inference(resolution,[status(thm)],[f30,f21])).
% 0.04/10.35 fof(f201,plain,(
% 0.04/10.35 ![X0]: (zero=divide(X0,divide(X0,zero)))),
% 0.04/10.35 inference(resolution,[status(thm)],[f133,f87])).
% 0.04/10.35 fof(f302,plain,(
% 0.04/10.35 ![X0]: (less_equal(X0,divide(X0,zero)))),
% 0.04/10.35 inference(resolution,[status(thm)],[f201,f18])).
% 0.04/10.35 fof(f343,plain,(
% 0.04/10.35 ![X0,X1]: (~less_equal(divide(divide(X0,X1),X1),divide(divide(X0,X1),zero))|divide(divide(X0,X1),X1)=divide(divide(X0,X1),zero))),
% 0.04/10.35 inference(resolution,[status(thm)],[f54,f22])).
% 0.04/10.35 fof(f366,plain,(
% 0.04/10.35 ![X0,X1]: (divide(divide(X0,X1),X1)=divide(divide(X0,X1),zero))),
% 0.04/10.35 inference(forward_subsumption_resolution,[status(thm)],[f343,f146])).
% 0.04/10.35 fof(f418,plain,(
% 0.04/10.35 ![X0]: (~less_equal(divide(X0,zero),X0)|divide(X0,zero)=X0)),
% 0.04/10.35 inference(resolution,[status(thm)],[f302,f22])).
% 0.04/10.35 fof(f448,plain,(
% 0.04/10.35 ![X0,X1]: (divide(divide(X0,X1),X1)=divide(X0,X1))),
% 0.04/10.35 inference(backward_demodulation,[status(thm)],[f461,f366])).
% 0.04/10.35 fof(f461,plain,(
% 0.04/10.35 ![X0]: (divide(X0,zero)=X0)),
% 0.04/10.35 inference(forward_subsumption_resolution,[status(thm)],[f418,f19])).
% 0.04/10.35 fof(f942,plain,(
% 0.04/10.35 ![X0]: (divide(divide(identity,X0),divide(identity,divide(identity,X0)))=divide(identity,divide(identity,divide(identity,X0))))),
% 0.04/10.35 inference(paramodulation,[status(thm)],[f33,f448])).
% 0.04/10.35 fof(f984,plain,(
% 0.04/10.35 ~divide(identity,a)=divide(identity,a)),
% 0.04/10.35 inference(backward_demodulation,[status(thm)],[f986,f34])).
% 0.04/10.35 fof(f986,plain,(
% 0.04/10.35 ![X0]: (divide(divide(identity,X0),divide(identity,divide(identity,X0)))=divide(identity,X0))),
% 0.04/10.35 inference(forward_demodulation,[status(thm)],[f33,f942])).
% 0.04/10.35 fof(f1007,plain,(
% 0.04/10.35 $false),
% 0.04/10.35 inference(trivial_equality_resolution,[status(thm)],[f984])).
% 0.04/10.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.04/10.37 % Elapsed time: 0.039720 seconds
% 0.04/10.37 % CPU time: 0.148071 seconds
% 0.04/10.37 % Total memory used: 69.339 MB
% 0.04/10.37 % Net memory used: 68.767 MB
%------------------------------------------------------------------------------