%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN004-6 : 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 : n013.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 0.15s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN004-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.52 % Computer : n013.cluster.edu
% 0.11/0.52 % Model : x86_64 x86_64
% 0.11/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.52 % Memory : 8046.5625MB
% 0.11/0.52 % OS : Linux 6.8.0-71-generic
% 0.11/0.52 % CPULimit : 300
% 0.11/0.52 % WCLimit : 300
% 0.11/0.52 % DateTime : Sun Sep 20 20:45:06 UTC 2026
% 0.11/0.53 % CPUTime :
% 0.11/0.54 % Drodi V4.1.1
% 0.15/0.57 % Refutation found
% 0.15/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.57 fof(f1,axiom,(
% 0.15/0.57 (![X,Y]: (( ~ less_equal(X,Y)| divide(X,Y) = zero ) ))),
% 0.15/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.57 fof(f2,axiom,(
% 0.15/0.57 (![X,Y]: (( divide(X,Y) != zero| less_equal(X,Y) ) ))),
% 0.15/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.57 fof(f3,axiom,(
% 0.15/0.57 (![X,Y]: (less_equal(divide(X,Y),X) ))),
% 0.15/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.57 fof(f4,axiom,(
% 0.15/0.57 (![X,Z,Y]: (less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) ))),
% 0.15/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.57 fof(f5,axiom,(
% 0.15/0.57 (![X]: (less_equal(zero,X) ))),
% 0.15/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.57 fof(f6,axiom,(
% 0.15/0.57 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.15/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.57 fof(f9,axiom,(
% 0.15/0.57 (![X]: (divide(zero,X) = zero ))),
% 0.15/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.57 fof(f10,negated_conjecture,(
% 0.15/0.57 divide(a,zero) != a ),
% 0.15/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.57 fof(f11,plain,(
% 0.15/0.57 ![X0,X1]: (~less_equal(X0,X1)|divide(X0,X1)=zero)),
% 0.15/0.57 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.57 fof(f12,plain,(
% 0.15/0.57 ![X0,X1]: (~divide(X0,X1)=zero|less_equal(X0,X1))),
% 0.15/0.57 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.57 fof(f13,plain,(
% 0.15/0.57 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.15/0.57 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.57 fof(f14,plain,(
% 0.15/0.57 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 0.15/0.57 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.57 fof(f15,plain,(
% 0.15/0.57 ![X0]: (less_equal(zero,X0))),
% 0.15/0.57 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.57 fof(f16,plain,(
% 0.15/0.57 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.15/0.57 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.57 fof(f19,plain,(
% 0.15/0.57 ![X0]: (divide(zero,X0)=zero)),
% 0.15/0.57 inference(cnf_transformation,[status(thm)],[f9])).
% 0.15/0.57 fof(f20,plain,(
% 0.15/0.57 ~divide(a,zero)=a),
% 0.15/0.57 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/0.57 fof(f26,plain,(
% 0.15/0.57 ![X0,X1]: (divide(divide(X0,X1),X0)=zero)),
% 0.15/0.57 inference(resolution,[status(thm)],[f13,f11])).
% 0.15/0.57 fof(f34,plain,(
% 0.15/0.57 ![X0,X1]: (~less_equal(X0,divide(X0,X1))|X0=divide(X0,X1))),
% 0.15/0.57 inference(resolution,[status(thm)],[f16,f13])).
% 0.15/0.57 fof(f35,plain,(
% 0.15/0.57 ![X0]: (~less_equal(X0,zero)|X0=zero)),
% 0.15/0.57 inference(resolution,[status(thm)],[f16,f15])).
% 0.15/0.57 fof(f62,plain,(
% 0.15/0.57 ![X0,X1]: (less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)))),
% 0.15/0.57 inference(paramodulation,[status(thm)],[f19,f14])).
% 0.15/0.57 fof(f64,plain,(
% 0.15/0.57 ![X0,X1]: (less_equal(divide(divide(X0,X0),divide(X1,X0)),zero))),
% 0.15/0.57 inference(paramodulation,[status(thm)],[f26,f14])).
% 0.15/0.57 fof(f87,plain,(
% 0.15/0.57 ![X0,X1]: (divide(divide(X0,X0),divide(X1,X0))=zero)),
% 0.15/0.57 inference(resolution,[status(thm)],[f64,f35])).
% 0.15/0.57 fof(f102,plain,(
% 0.15/0.57 ![X0,X1]: (less_equal(divide(X0,X0),divide(X1,X0)))),
% 0.15/0.57 inference(resolution,[status(thm)],[f87,f12])).
% 0.15/0.57 fof(f126,plain,(
% 0.15/0.57 ![X0]: (divide(X0,X0)=divide(divide(X0,X0),X0))),
% 0.15/0.57 inference(resolution,[status(thm)],[f102,f34])).
% 0.15/0.57 fof(f142,plain,(
% 0.15/0.57 ![X0]: (divide(X0,X0)=zero)),
% 0.15/0.57 inference(forward_demodulation,[status(thm)],[f26,f126])).
% 0.15/0.57 fof(f237,plain,(
% 0.15/0.57 ![X0]: (less_equal(divide(divide(X0,divide(X0,zero)),zero),zero))),
% 0.15/0.57 inference(paramodulation,[status(thm)],[f142,f62])).
% 0.15/0.57 fof(f341,plain,(
% 0.15/0.57 ![X0]: (divide(divide(X0,divide(X0,zero)),zero)=zero)),
% 0.15/0.57 inference(resolution,[status(thm)],[f237,f35])).
% 0.15/0.57 fof(f357,plain,(
% 0.15/0.57 ![X0]: (less_equal(divide(X0,divide(X0,zero)),zero))),
% 0.15/0.57 inference(resolution,[status(thm)],[f341,f12])).
% 0.15/0.57 fof(f563,plain,(
% 0.15/0.57 ![X0]: (divide(X0,divide(X0,zero))=zero)),
% 0.15/0.57 inference(resolution,[status(thm)],[f357,f35])).
% 0.15/0.57 fof(f613,plain,(
% 0.15/0.57 ![X0]: (less_equal(X0,divide(X0,zero)))),
% 0.15/0.57 inference(resolution,[status(thm)],[f563,f12])).
% 0.15/0.57 fof(f651,plain,(
% 0.15/0.57 ![X0]: (X0=divide(X0,zero))),
% 0.15/0.57 inference(resolution,[status(thm)],[f613,f34])).
% 0.15/0.57 fof(f660,plain,(
% 0.15/0.57 ~a=a),
% 0.15/0.57 inference(backward_demodulation,[status(thm)],[f651,f20])).
% 0.15/0.57 fof(f693,plain,(
% 0.15/0.57 $false),
% 0.15/0.57 inference(trivial_equality_resolution,[status(thm)],[f660])).
% 0.15/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.60 % Elapsed time: 0.067159 seconds
% 0.15/0.60 % CPU time: 0.255188 seconds
% 0.15/0.60 % Total memory used: 70.679 MB
% 0.15/0.60 % Net memory used: 70.096 MB
%------------------------------------------------------------------------------