%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN010-4 : 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 12:45:30 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN010-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:46:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.53 % Refutation found
% 0.13/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.53 fof(f2,axiom,(
% 0.13/0.53 (![X,Y]: (( divide(X,Y) != zero| less_equal(X,Y) ) ))),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f3,axiom,(
% 0.13/0.53 (![X,Y]: (less_equal(divide(X,Y),X) ))),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f4,axiom,(
% 0.13/0.53 (![X,Z,Y]: (less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) ))),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f5,axiom,(
% 0.13/0.53 (![X]: (less_equal(zero,X) ))),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f6,axiom,(
% 0.13/0.53 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f9,axiom,(
% 0.13/0.53 (![X]: (divide(zero,X) = zero ))),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f13,axiom,(
% 0.13/0.53 (![X,Y,Z]: (( ~ less_equal(divide(X,Y),Z)| less_equal(divide(X,Z),Y) ) ))),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f14,axiom,(
% 0.13/0.53 (![X,Y,Z]: (( ~ less_equal(X,Y)| less_equal(divide(Z,Y),divide(Z,X)) ) ))),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f15,axiom,(
% 0.13/0.53 (![X,Y,Z]: (( ~ less_equal(X,Y)| less_equal(divide(X,Z),divide(Y,Z)) ) ))),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f16,axiom,(
% 0.13/0.53 (![X]: (divide(identity,divide(identity,divide(identity,X))) = divide(identity,X) ))),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f17,negated_conjecture,(
% 0.13/0.53 divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))) ),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f19,plain,(
% 0.13/0.53 ![X0,X1]: (~divide(X0,X1)=zero|less_equal(X0,X1))),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.53 fof(f20,plain,(
% 0.13/0.53 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.53 fof(f21,plain,(
% 0.13/0.53 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.53 fof(f22,plain,(
% 0.13/0.53 ![X0]: (less_equal(zero,X0))),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.53 fof(f23,plain,(
% 0.13/0.53 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.53 fof(f26,plain,(
% 0.13/0.53 ![X0]: (divide(zero,X0)=zero)),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.53 fof(f31,plain,(
% 0.13/0.53 ![X0,X1,X2]: (~less_equal(divide(X0,X1),X2)|less_equal(divide(X0,X2),X1))),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.53 fof(f32,plain,(
% 0.13/0.53 ![X,Y]: (~less_equal(X,Y)|(![Z]: less_equal(divide(Z,Y),divide(Z,X))))),
% 0.13/0.53 inference(miniscoping,[status(thm)],[f14])).
% 0.13/0.53 fof(f33,plain,(
% 0.13/0.53 ![X0,X1,X2]: (~less_equal(X0,X1)|less_equal(divide(X2,X1),divide(X2,X0)))),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.53 fof(f34,plain,(
% 0.13/0.53 ![X,Y]: (~less_equal(X,Y)|(![Z]: less_equal(divide(X,Z),divide(Y,Z))))),
% 0.13/0.53 inference(miniscoping,[status(thm)],[f15])).
% 0.13/0.53 fof(f35,plain,(
% 0.13/0.53 ![X0,X1,X2]: (~less_equal(X0,X1)|less_equal(divide(X0,X2),divide(X1,X2)))),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.53 fof(f36,plain,(
% 0.13/0.53 ![X0]: (divide(identity,divide(identity,divide(identity,X0)))=divide(identity,X0))),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.53 fof(f37,plain,(
% 0.13/0.53 ~divide(identity,a)=divide(divide(identity,a),divide(identity,divide(identity,a)))),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.53 fof(f62,plain,(
% 0.13/0.53 ![X0,X1]: (~less_equal(X0,divide(X0,X1))|X0=divide(X0,X1))),
% 0.13/0.53 inference(resolution,[status(thm)],[f23,f20])).
% 0.13/0.53 fof(f63,plain,(
% 0.13/0.53 ![X0]: (~less_equal(X0,zero)|X0=zero)),
% 0.13/0.53 inference(resolution,[status(thm)],[f23,f22])).
% 0.13/0.53 fof(f71,plain,(
% 0.13/0.53 ![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)))),
% 0.13/0.53 inference(resolution,[status(thm)],[f21,f23])).
% 0.13/0.53 fof(f137,plain,(
% 0.13/0.53 ![X0,X1]: (X0=divide(X0,X1)|~divide(X0,divide(X0,X1))=zero)),
% 0.13/0.53 inference(resolution,[status(thm)],[f62,f19])).
% 0.13/0.53 fof(f147,plain,(
% 0.13/0.54 ![X0,X1]: (~less_equal(divide(X0,zero),X1)|divide(X0,X1)=zero)),
% 0.13/0.54 inference(resolution,[status(thm)],[f31,f63])).
% 0.13/0.54 fof(f176,plain,(
% 0.13/0.54 ![X0,X1,X2]: (less_equal(divide(X0,X1),divide(X0,divide(X1,X2))))),
% 0.13/0.54 inference(resolution,[status(thm)],[f33,f20])).
% 0.13/0.54 fof(f185,plain,(
% 0.13/0.54 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),X2),divide(X0,X2)))),
% 0.13/0.54 inference(resolution,[status(thm)],[f35,f20])).
% 0.13/0.54 fof(f1458,plain,(
% 0.13/0.54 ![X0,X1]: (divide(X0,divide(X0,divide(zero,X1)))=zero)),
% 0.13/0.54 inference(resolution,[status(thm)],[f147,f176])).
% 0.13/0.54 fof(f1475,plain,(
% 0.13/0.54 ![X0]: (divide(X0,divide(X0,zero))=zero)),
% 0.13/0.54 inference(forward_demodulation,[status(thm)],[f26,f1458])).
% 0.13/0.54 fof(f1482,plain,(
% 0.13/0.54 ![X0]: (X0=divide(X0,zero))),
% 0.13/0.54 inference(resolution,[status(thm)],[f1475,f137])).
% 0.13/0.54 fof(f1523,plain,(
% 0.13/0.54 ![X0,X1]: (~less_equal(divide(divide(X0,X1),divide(X1,zero)),divide(divide(X0,divide(X1,zero)),zero))|divide(divide(X0,X1),divide(X1,zero))=divide(divide(X0,divide(X1,zero)),divide(X1,divide(X1,zero))))),
% 0.13/0.54 inference(paramodulation,[status(thm)],[f1475,f71])).
% 0.13/0.54 fof(f1665,plain,(
% 0.13/0.54 ![X0,X1]: (~less_equal(divide(divide(X0,X1),X1),divide(divide(X0,divide(X1,zero)),zero))|divide(divide(X0,X1),divide(X1,zero))=divide(divide(X0,divide(X1,zero)),divide(X1,divide(X1,zero))))),
% 0.13/0.54 inference(forward_demodulation,[status(thm)],[f1482,f1523])).
% 0.13/0.54 fof(f1666,plain,(
% 0.13/0.54 ![X0,X1]: (~less_equal(divide(divide(X0,X1),X1),divide(X0,divide(X1,zero)))|divide(divide(X0,X1),divide(X1,zero))=divide(divide(X0,divide(X1,zero)),divide(X1,divide(X1,zero))))),
% 0.13/0.54 inference(forward_demodulation,[status(thm)],[f1482,f1665])).
% 0.13/0.54 fof(f1667,plain,(
% 0.13/0.54 ![X0,X1]: (~less_equal(divide(divide(X0,X1),X1),divide(X0,X1))|divide(divide(X0,X1),divide(X1,zero))=divide(divide(X0,divide(X1,zero)),divide(X1,divide(X1,zero))))),
% 0.13/0.54 inference(forward_demodulation,[status(thm)],[f1482,f1666])).
% 0.13/0.54 fof(f1668,plain,(
% 0.13/0.54 ![X0,X1]: (~less_equal(divide(divide(X0,X1),X1),divide(X0,X1))|divide(divide(X0,X1),X1)=divide(divide(X0,divide(X1,zero)),divide(X1,divide(X1,zero))))),
% 0.13/0.54 inference(forward_demodulation,[status(thm)],[f1482,f1667])).
% 0.13/0.54 fof(f1669,plain,(
% 0.13/0.54 ![X0,X1]: (~less_equal(divide(divide(X0,X1),X1),divide(X0,X1))|divide(divide(X0,X1),X1)=divide(divide(X0,X1),divide(X1,divide(X1,zero))))),
% 0.13/0.54 inference(forward_demodulation,[status(thm)],[f1482,f1668])).
% 0.13/0.54 fof(f1670,plain,(
% 0.13/0.54 ![X0,X1]: (~less_equal(divide(divide(X0,X1),X1),divide(X0,X1))|divide(divide(X0,X1),X1)=divide(divide(X0,X1),zero))),
% 0.13/0.54 inference(forward_demodulation,[status(thm)],[f1475,f1669])).
% 0.13/0.54 fof(f1671,plain,(
% 0.13/0.54 ![X0,X1]: (~less_equal(divide(divide(X0,X1),X1),divide(X0,X1))|divide(divide(X0,X1),X1)=divide(X0,X1))),
% 0.13/0.54 inference(forward_demodulation,[status(thm)],[f1482,f1670])).
% 0.13/0.54 fof(f1673,plain,(
% 0.13/0.54 ![X0,X1]: (divide(divide(X0,X1),X1)=divide(X0,X1))),
% 0.13/0.54 inference(forward_subsumption_resolution,[status(thm)],[f1671,f185])).
% 0.13/0.54 fof(f1906,plain,(
% 0.13/0.54 ![X0]: (divide(divide(identity,X0),divide(identity,divide(identity,X0)))=divide(identity,divide(identity,divide(identity,X0))))),
% 0.13/0.54 inference(paramodulation,[status(thm)],[f36,f1673])).
% 0.13/0.54 fof(f1952,plain,(
% 0.13/0.54 ~divide(identity,a)=divide(identity,a)),
% 0.13/0.54 inference(backward_demodulation,[status(thm)],[f1954,f37])).
% 0.13/0.54 fof(f1954,plain,(
% 0.13/0.54 ![X0]: (divide(divide(identity,X0),divide(identity,divide(identity,X0)))=divide(identity,X0))),
% 0.13/0.54 inference(forward_demodulation,[status(thm)],[f36,f1906])).
% 0.13/0.54 fof(f1972,plain,(
% 0.13/0.54 $false),
% 0.13/0.54 inference(trivial_equality_resolution,[status(thm)],[f1952])).
% 0.13/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.58 % Elapsed time: 0.206341 seconds
% 0.13/0.58 % CPU time: 1.024601 seconds
% 0.13/0.58 % Total memory used: 77.968 MB
% 0.13/0.58 % Net memory used: 76.499 MB
%------------------------------------------------------------------------------